id	sid	tid	token	lemma	pos
ejpam-5551	1	1	european	european	PROPN
ejpam-5551	1	2	journal	journal	PROPN
ejpam-5551	1	3	of	of	ADP
ejpam-5551	1	4	pure	pure	ADJ
ejpam-5551	1	5	and	and	CCONJ
ejpam-5551	1	6	applied	applied	ADJ
ejpam-5551	1	7	mathematics	mathematic	NOUN
ejpam-5551	1	8	2025	2025	NUM
ejpam-5551	1	9	,	,	PUNCT
ejpam-5551	1	10	vol	vol	NOUN
ejpam-5551	1	11	.	.	PROPN
ejpam-5551	1	12	18	18	NUM
ejpam-5551	1	13	,	,	PUNCT
ejpam-5551	1	14	issue	issue	NOUN
ejpam-5551	1	15	1	1	NUM
ejpam-5551	1	16	,	,	PUNCT
ejpam-5551	1	17	article	article	NOUN
ejpam-5551	1	18	number	number	NOUN
ejpam-5551	1	19	5551	5551	NUM
ejpam-5551	1	20	issn	issn	PROPN
ejpam-5551	1	21	1307	1307	NUM
ejpam-5551	1	22	-	-	SYM
ejpam-5551	1	23	5543	5543	NUM
ejpam-5551	1	24	–	–	PUNCT
ejpam-5551	1	25	ejpam.com	ejpam.com	X
ejpam-5551	1	26	published	publish	VERB
ejpam-5551	1	27	by	by	ADP
ejpam-5551	1	28	new	new	PROPN
ejpam-5551	1	29	york	york	PROPN
ejpam-5551	1	30	business	business	PROPN
ejpam-5551	1	31	global	global	PROPN
ejpam-5551	1	32	new	new	PROPN
ejpam-5551	1	33	newton	newton	PROPN
ejpam-5551	1	34	group	group	PROPN
ejpam-5551	1	35	iterative	iterative	NOUN
ejpam-5551	1	36	methods	method	NOUN
ejpam-5551	1	37	for	for	ADP
ejpam-5551	1	38	solving	solve	VERB
ejpam-5551	1	39	large	large	ADJ
ejpam-5551	1	40	-	-	PUNCT
ejpam-5551	1	41	scale	scale	NOUN
ejpam-5551	1	42	multi	multi	ADJ
ejpam-5551	1	43	-	-	ADJ
ejpam-5551	1	44	objective	objective	ADJ
ejpam-5551	1	45	constrained	constrain	VERB
ejpam-5551	1	46	optimization	optimization	NOUN
ejpam-5551	1	47	problems	problem	NOUN
ejpam-5551	1	48	peng	peng	PROPN
ejpam-5551	1	49	cheng1,2	cheng1,2	PROPN
ejpam-5551	1	50	,	,	PUNCT
ejpam-5551	1	51	jumat	jumat	PROPN
ejpam-5551	1	52	sulaiman1,∗	sulaiman1,∗	NOUN
ejpam-5551	1	53	,	,	PUNCT
ejpam-5551	1	54	khadizah	khadizah	NOUN
ejpam-5551	1	55	ghazali1	ghazali1	PROPN
ejpam-5551	1	56	,	,	PUNCT
ejpam-5551	1	57	majid	majid	PROPN
ejpam-5551	1	58	khan	khan	PROPN
ejpam-5551	1	59	majahar	majahar	PROPN
ejpam-5551	1	60	ali3	ali3	PROPN
ejpam-5551	1	61	,	,	PUNCT
ejpam-5551	1	62	ming	ming	PROPN
ejpam-5551	1	63	ming	ming	PROPN
ejpam-5551	1	64	xu4	xu4	PROPN
ejpam-5551	1	65	1	1	NUM
ejpam-5551	1	66	faculty	faculty	NOUN
ejpam-5551	1	67	of	of	ADP
ejpam-5551	1	68	science	science	NOUN
ejpam-5551	1	69	and	and	CCONJ
ejpam-5551	1	70	natural	natural	ADJ
ejpam-5551	1	71	resources	resource	NOUN
ejpam-5551	1	72	,	,	PUNCT
ejpam-5551	1	73	universiti	universiti	PROPN
ejpam-5551	1	74	malaysia	malaysia	PROPN
ejpam-5551	1	75	sabah	sabah	PROPN
ejpam-5551	1	76	,	,	PUNCT
ejpam-5551	1	77	jalan	jalan	PROPN
ejpam-5551	1	78	ums	ums	PROPN
ejpam-5551	1	79	,	,	PUNCT
ejpam-5551	1	80	88400	88400	NUM
ejpam-5551	1	81	kota	kota	PROPN
ejpam-5551	1	82	kinabalu	kinabalu	PROPN
ejpam-5551	1	83	,	,	PUNCT
ejpam-5551	1	84	sabah	sabah	PROPN
ejpam-5551	1	85	,	,	PUNCT
ejpam-5551	1	86	malaysia	malaysia	PROPN
ejpam-5551	1	87	2	2	NUM
ejpam-5551	1	88	chongqing	chongqing	NOUN
ejpam-5551	1	89	college	college	NOUN
ejpam-5551	1	90	of	of	ADP
ejpam-5551	1	91	finance	finance	NOUN
ejpam-5551	1	92	and	and	CCONJ
ejpam-5551	1	93	economics	economic	NOUN
ejpam-5551	1	94	,	,	PUNCT
ejpam-5551	1	95	402160	402160	NUM
ejpam-5551	1	96	chongqing	chongqing	PROPN
ejpam-5551	1	97	,	,	PUNCT
ejpam-5551	1	98	china	china	PROPN
ejpam-5551	1	99	3	3	NUM
ejpam-5551	1	100	school	school	NOUN
ejpam-5551	1	101	of	of	ADP
ejpam-5551	1	102	mathematical	mathematical	ADJ
ejpam-5551	1	103	sciences	science	NOUN
ejpam-5551	1	104	,	,	PUNCT
ejpam-5551	1	105	universiti	universiti	PROPN
ejpam-5551	1	106	sains	sain	VERB
ejpam-5551	1	107	malaysia	malaysia	PROPN
ejpam-5551	1	108	,	,	PUNCT
ejpam-5551	1	109	11800	11800	NUM
ejpam-5551	1	110	gelugor	gelugor	NOUN
ejpam-5551	1	111	,	,	PUNCT
ejpam-5551	1	112	penang	penang	PROPN
ejpam-5551	1	113	,	,	PUNCT
ejpam-5551	1	114	malaysia	malaysia	PROPN
ejpam-5551	1	115	4	4	NUM
ejpam-5551	1	116	school	school	NOUN
ejpam-5551	1	117	of	of	ADP
ejpam-5551	1	118	mathematics	mathematic	NOUN
ejpam-5551	1	119	and	and	CCONJ
ejpam-5551	1	120	information	information	NOUN
ejpam-5551	1	121	technology	technology	NOUN
ejpam-5551	1	122	,	,	PUNCT
ejpam-5551	1	123	xingtai	xingtai	PROPN
ejpam-5551	1	124	university	university	PROPN
ejpam-5551	1	125	,	,	PUNCT
ejpam-5551	1	126	054000	054000	NUM
ejpam-5551	1	127	xingtai	xingtai	PROPN
ejpam-5551	1	128	,	,	PUNCT
ejpam-5551	1	129	hebei	hebei	PROPN
ejpam-5551	1	130	,	,	PUNCT
ejpam-5551	1	131	china	china	PROPN
ejpam-5551	1	132	abstract	abstract	NOUN
ejpam-5551	1	133	.	.	PUNCT
ejpam-5551	2	1	with	with	ADP
ejpam-5551	2	2	the	the	DET
ejpam-5551	2	3	rapid	rapid	ADJ
ejpam-5551	2	4	development	development	NOUN
ejpam-5551	2	5	of	of	ADP
ejpam-5551	2	6	big	big	ADJ
ejpam-5551	2	7	data	datum	NOUN
ejpam-5551	2	8	and	and	CCONJ
ejpam-5551	2	9	artificial	artificial	ADJ
ejpam-5551	2	10	intelligence	intelligence	NOUN
ejpam-5551	2	11	technologies	technology	NOUN
ejpam-5551	2	12	,	,	PUNCT
ejpam-5551	2	13	we	we	PRON
ejpam-5551	2	14	are	be	AUX
ejpam-5551	2	15	facing	face	VERB
ejpam-5551	2	16	increasingly	increasingly	ADV
ejpam-5551	2	17	complex	complex	ADJ
ejpam-5551	2	18	data	datum	NOUN
ejpam-5551	2	19	and	and	CCONJ
ejpam-5551	2	20	decision	decision	NOUN
ejpam-5551	2	21	-	-	PUNCT
ejpam-5551	2	22	making	make	VERB
ejpam-5551	2	23	problems	problem	NOUN
ejpam-5551	2	24	.	.	PUNCT
ejpam-5551	3	1	solving	solve	VERB
ejpam-5551	3	2	large	large	ADJ
ejpam-5551	3	3	-	-	PUNCT
ejpam-5551	3	4	scale	scale	NOUN
ejpam-5551	3	5	multiobjective	multiobjective	ADJ
ejpam-5551	3	6	constrained	constrain	VERB
ejpam-5551	3	7	optimization	optimization	NOUN
ejpam-5551	3	8	problems	problem	NOUN
ejpam-5551	3	9	can	can	AUX
ejpam-5551	3	10	help	help	VERB
ejpam-5551	3	11	to	to	PART
ejpam-5551	3	12	solve	solve	VERB
ejpam-5551	3	13	many	many	ADJ
ejpam-5551	3	14	practical	practical	ADJ
ejpam-5551	3	15	engineering	engineering	NOUN
ejpam-5551	3	16	and	and	CCONJ
ejpam-5551	3	17	scientific	scientific	ADJ
ejpam-5551	3	18	problems	problem	NOUN
ejpam-5551	3	19	.	.	PUNCT
ejpam-5551	4	1	the	the	DET
ejpam-5551	4	2	weighted	weight	VERB
ejpam-5551	4	3	and	and	CCONJ
ejpam-5551	4	4	lagrange	lagrange	ADJ
ejpam-5551	4	5	multiplier	multipli	ADJ
ejpam-5551	4	6	methods	method	NOUN
ejpam-5551	4	7	are	be	AUX
ejpam-5551	4	8	considered	consider	VERB
ejpam-5551	4	9	to	to	PART
ejpam-5551	4	10	be	be	AUX
ejpam-5551	4	11	classical	classical	ADJ
ejpam-5551	4	12	and	and	CCONJ
ejpam-5551	4	13	effective	effective	ADJ
ejpam-5551	4	14	methods	method	NOUN
ejpam-5551	4	15	for	for	ADP
ejpam-5551	4	16	dealing	deal	VERB
ejpam-5551	4	17	with	with	ADP
ejpam-5551	4	18	multiple	multiple	ADJ
ejpam-5551	4	19	objectives	objective	NOUN
ejpam-5551	4	20	and	and	CCONJ
ejpam-5551	4	21	constraints	constraint	NOUN
ejpam-5551	4	22	,	,	PUNCT
ejpam-5551	4	23	but	but	CCONJ
ejpam-5551	4	24	there	there	PRON
ejpam-5551	4	25	are	be	VERB
ejpam-5551	4	26	some	some	DET
ejpam-5551	4	27	difficulties	difficulty	NOUN
ejpam-5551	4	28	in	in	ADP
ejpam-5551	4	29	solving	solve	VERB
ejpam-5551	4	30	the	the	DET
ejpam-5551	4	31	processed	process	VERB
ejpam-5551	4	32	unconstrained	unconstrained	ADJ
ejpam-5551	4	33	optimization	optimization	NOUN
ejpam-5551	4	34	problems	problem	NOUN
ejpam-5551	4	35	.	.	PUNCT
ejpam-5551	5	1	the	the	DET
ejpam-5551	5	2	newton	newton	PROPN
ejpam-5551	5	3	method	method	NOUN
ejpam-5551	5	4	is	be	AUX
ejpam-5551	5	5	a	a	DET
ejpam-5551	5	6	commonly	commonly	ADV
ejpam-5551	5	7	used	use	VERB
ejpam-5551	5	8	method	method	NOUN
ejpam-5551	5	9	for	for	ADP
ejpam-5551	5	10	solving	solve	VERB
ejpam-5551	5	11	this	this	DET
ejpam-5551	5	12	type	type	NOUN
ejpam-5551	5	13	of	of	ADP
ejpam-5551	5	14	problem	problem	NOUN
ejpam-5551	5	15	,	,	PUNCT
ejpam-5551	5	16	but	but	CCONJ
ejpam-5551	5	17	it	it	PRON
ejpam-5551	5	18	requires	require	VERB
ejpam-5551	5	19	a	a	DET
ejpam-5551	5	20	high	high	ADJ
ejpam-5551	5	21	computational	computational	ADJ
ejpam-5551	5	22	complexity	complexity	NOUN
ejpam-5551	5	23	.	.	PUNCT
ejpam-5551	6	1	in	in	ADP
ejpam-5551	6	2	order	order	NOUN
ejpam-5551	6	3	to	to	PART
ejpam-5551	6	4	solve	solve	VERB
ejpam-5551	6	5	these	these	DET
ejpam-5551	6	6	difficulties	difficulty	NOUN
ejpam-5551	6	7	,	,	PUNCT
ejpam-5551	6	8	we	we	PRON
ejpam-5551	6	9	combine	combine	VERB
ejpam-5551	6	10	four	four	NUM
ejpam-5551	6	11	methods	method	NOUN
ejpam-5551	6	12	such	such	ADJ
ejpam-5551	6	13	as	as	ADP
ejpam-5551	6	14	the	the	DET
ejpam-5551	6	15	weighted	weighted	ADJ
ejpam-5551	6	16	method	method	NOUN
ejpam-5551	6	17	,	,	PUNCT
ejpam-5551	6	18	lagrange	lagrange	NOUN
ejpam-5551	6	19	multiplier	multipli	ADJ
ejpam-5551	6	20	method	method	NOUN
ejpam-5551	6	21	,	,	PUNCT
ejpam-5551	6	22	newton	newton	PROPN
ejpam-5551	6	23	method	method	NOUN
ejpam-5551	6	24	and	and	CCONJ
ejpam-5551	6	25	explicit	explicit	ADJ
ejpam-5551	6	26	group	group	NOUN
ejpam-5551	6	27	gauss	gauss	PROPN
ejpam-5551	6	28	-	-	PUNCT
ejpam-5551	6	29	seidel	seidel	PROPN
ejpam-5551	6	30	iterative	iterative	NOUN
ejpam-5551	6	31	method	method	NOUN
ejpam-5551	6	32	to	to	PART
ejpam-5551	6	33	propose	propose	VERB
ejpam-5551	6	34	new	new	PROPN
ejpam-5551	6	35	newton	newton	PROPN
ejpam-5551	6	36	group	group	PROPN
ejpam-5551	6	37	iterative	iterative	NOUN
ejpam-5551	6	38	methods	method	NOUN
ejpam-5551	6	39	such	such	ADJ
ejpam-5551	6	40	as	as	ADP
ejpam-5551	6	41	2	2	NUM
ejpam-5551	6	42	and	and	CCONJ
ejpam-5551	6	43	4	4	NUM
ejpam-5551	6	44	-	-	PUNCT
ejpam-5551	6	45	point	point	NOUN
ejpam-5551	6	46	explicit	explicit	ADJ
ejpam-5551	6	47	group	group	NOUN
ejpam-5551	6	48	gauss	gauss	PROPN
ejpam-5551	6	49	-	-	PUNCT
ejpam-5551	6	50	seidel	seidel	PROPN
ejpam-5551	6	51	iterative	iterative	NOUN
ejpam-5551	6	52	methods	method	NOUN
ejpam-5551	6	53	namely	namely	ADV
ejpam-5551	6	54	as	as	ADP
ejpam-5551	6	55	newton-2eggs	newton-2eggs	NUM
ejpam-5551	6	56	and	and	CCONJ
ejpam-5551	6	57	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	6	58	for	for	ADP
ejpam-5551	6	59	solving	solve	VERB
ejpam-5551	6	60	largescale	largescale	ADJ
ejpam-5551	6	61	multi	multi	ADJ
ejpam-5551	6	62	-	-	ADJ
ejpam-5551	6	63	objective	objective	ADJ
ejpam-5551	6	64	constrained	constrain	VERB
ejpam-5551	6	65	optimization	optimization	NOUN
ejpam-5551	6	66	problems	problem	NOUN
ejpam-5551	6	67	.	.	PUNCT
ejpam-5551	7	1	also	also	ADV
ejpam-5551	7	2	,	,	PUNCT
ejpam-5551	7	3	the	the	DET
ejpam-5551	7	4	convergence	convergence	NOUN
ejpam-5551	7	5	analysis	analysis	NOUN
ejpam-5551	7	6	of	of	ADP
ejpam-5551	7	7	the	the	DET
ejpam-5551	7	8	proposed	propose	VERB
ejpam-5551	7	9	method	method	NOUN
ejpam-5551	7	10	is	be	AUX
ejpam-5551	7	11	presented	present	VERB
ejpam-5551	7	12	.	.	PUNCT
ejpam-5551	8	1	to	to	PART
ejpam-5551	8	2	test	test	VERB
ejpam-5551	8	3	the	the	DET
ejpam-5551	8	4	superiority	superiority	NOUN
ejpam-5551	8	5	of	of	ADP
ejpam-5551	8	6	the	the	DET
ejpam-5551	8	7	proposed	propose	VERB
ejpam-5551	8	8	method	method	NOUN
ejpam-5551	8	9	by	by	ADP
ejpam-5551	8	10	comparing	compare	VERB
ejpam-5551	8	11	the	the	DET
ejpam-5551	8	12	computational	computational	ADJ
ejpam-5551	8	13	results	result	NOUN
ejpam-5551	8	14	,	,	PUNCT
ejpam-5551	8	15	the	the	DET
ejpam-5551	8	16	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	8	17	iteration	iteration	NOUN
ejpam-5551	8	18	is	be	AUX
ejpam-5551	8	19	more	more	ADV
ejpam-5551	8	20	efficient	efficient	ADJ
ejpam-5551	8	21	than	than	ADP
ejpam-5551	8	22	both	both	DET
ejpam-5551	8	23	newton-2eggs	newton-2eggs	NUM
ejpam-5551	8	24	iterative	iterative	NOUN
ejpam-5551	8	25	method	method	NOUN
ejpam-5551	8	26	and	and	CCONJ
ejpam-5551	8	27	the	the	DET
ejpam-5551	8	28	newton	newton	PROPN
ejpam-5551	8	29	-	-	PUNCT
ejpam-5551	8	30	gauss	gaus	VERB
ejpam-5551	8	31	-	-	PUNCT
ejpam-5551	8	32	seidel	seidel	PROPN
ejpam-5551	8	33	iterative	iterative	NOUN
ejpam-5551	8	34	method	method	NOUN
ejpam-5551	8	35	(	(	PUNCT
ejpam-5551	8	36	newton	newton	PROPN
ejpam-5551	8	37	-	-	PUNCT
ejpam-5551	8	38	gs	gs	NOUN
ejpam-5551	8	39	)	)	PUNCT
ejpam-5551	8	40	,	,	PUNCT
ejpam-5551	8	41	especially	especially	ADV
ejpam-5551	8	42	in	in	ADP
ejpam-5551	8	43	terms	term	NOUN
ejpam-5551	8	44	of	of	ADP
ejpam-5551	8	45	the	the	DET
ejpam-5551	8	46	number	number	NOUN
ejpam-5551	8	47	of	of	ADP
ejpam-5551	8	48	iterations	iteration	NOUN
ejpam-5551	8	49	and	and	CCONJ
ejpam-5551	8	50	the	the	DET
ejpam-5551	8	51	computational	computational	ADJ
ejpam-5551	8	52	time	time	NOUN
ejpam-5551	8	53	.	.	PUNCT
ejpam-5551	9	1	2020	2020	NUM
ejpam-5551	9	2	mathematics	mathematic	NOUN
ejpam-5551	9	3	subject	subject	NOUN
ejpam-5551	9	4	classifications	classification	NOUN
ejpam-5551	9	5	:	:	PUNCT
ejpam-5551	9	6	49m15	49m15	NUM
ejpam-5551	9	7	,	,	PUNCT
ejpam-5551	9	8	65d15	65d15	NUM
ejpam-5551	9	9	,	,	PUNCT
ejpam-5551	9	10	90c06	90c06	NUM
ejpam-5551	9	11	,	,	PUNCT
ejpam-5551	9	12	90c29	90c29	NUM
ejpam-5551	9	13	key	key	ADJ
ejpam-5551	9	14	words	word	NOUN
ejpam-5551	9	15	and	and	CCONJ
ejpam-5551	9	16	phrases	phrase	NOUN
ejpam-5551	9	17	:	:	PUNCT
ejpam-5551	9	18	multi	multi	ADJ
ejpam-5551	9	19	-	-	ADJ
ejpam-5551	9	20	objective	objective	ADJ
ejpam-5551	9	21	constrained	constrain	VERB
ejpam-5551	9	22	optimization	optimization	NOUN
ejpam-5551	9	23	,	,	PUNCT
ejpam-5551	9	24	weighted	weight	VERB
ejpam-5551	9	25	method	method	NOUN
ejpam-5551	9	26	,	,	PUNCT
ejpam-5551	9	27	lagrange	lagrange	ADJ
ejpam-5551	9	28	multiplier	multipli	ADJ
ejpam-5551	9	29	method	method	NOUN
ejpam-5551	9	30	,	,	PUNCT
ejpam-5551	9	31	newton	newton	PROPN
ejpam-5551	9	32	method	method	PROPN
ejpam-5551	9	33	,	,	PUNCT
ejpam-5551	9	34	explicit	explicit	ADJ
ejpam-5551	9	35	group	group	NOUN
ejpam-5551	9	36	iterative	iterative	NOUN
ejpam-5551	9	37	method	method	NOUN
ejpam-5551	9	38	∗corresponding	∗corresponde	VERB
ejpam-5551	9	39	author	author	NOUN
ejpam-5551	9	40	.	.	PUNCT
ejpam-5551	10	1	doi	doi	NOUN
ejpam-5551	10	2	:	:	PUNCT
ejpam-5551	10	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5551	https://doi.org/10.29020/nybg.ejpam.v18i1.5551	NUM
ejpam-5551	10	4	email	email	NOUN
ejpam-5551	10	5	addresses	address	NOUN
ejpam-5551	10	6	:	:	PUNCT
ejpam-5551	10	7	pchengmath@163.com	pchengmath@163.com	PROPN
ejpam-5551	10	8	(	(	PUNCT
ejpam-5551	10	9	p.	p.	PROPN
ejpam-5551	10	10	cheng	cheng	PROPN
ejpam-5551	10	11	)	)	PUNCT
ejpam-5551	10	12	,	,	PUNCT
ejpam-5551	10	13	jumat@ums.edu.my	jumat@ums.edu.my	PROPN
ejpam-5551	10	14	(	(	PUNCT
ejpam-5551	10	15	j.	j.	PROPN
ejpam-5551	10	16	sulaiman	sulaiman	PROPN
ejpam-5551	10	17	)	)	PUNCT
ejpam-5551	10	18	,	,	PUNCT
ejpam-5551	10	19	khadizah@ums.edu.my	khadizah@ums.edu.my	X
ejpam-5551	10	20	(	(	PUNCT
ejpam-5551	10	21	k.	k.	PROPN
ejpam-5551	10	22	ghazali	ghazali	PROPN
ejpam-5551	10	23	)	)	PUNCT
ejpam-5551	10	24	,	,	PUNCT
ejpam-5551	10	25	majidkhanmajaharali@usm.my	majidkhanmajaharali@usm.my	PROPN
ejpam-5551	10	26	(	(	PUNCT
ejpam-5551	10	27	m.	m.	PROPN
ejpam-5551	10	28	k.	k.	PROPN
ejpam-5551	10	29	m.	m.	PROPN
ejpam-5551	10	30	ali	ali	PROPN
ejpam-5551	10	31	)	)	PUNCT
ejpam-5551	10	32	,	,	PUNCT
ejpam-5551	10	33	xmmzg@sina.com	xmmzg@sina.com	X
ejpam-5551	11	1	(	(	PUNCT
ejpam-5551	11	2	m.	m.	NOUN
ejpam-5551	11	3	m.	m.	PROPN
ejpam-5551	11	4	xu	xu	PROPN
ejpam-5551	11	5	)	)	PUNCT
ejpam-5551	11	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5551	12	1	1	1	NUM
ejpam-5551	12	2	copyright	copyright	NOUN
ejpam-5551	12	3	:	:	PUNCT
ejpam-5551	12	4	©	©	PROPN
ejpam-5551	12	5	2025	2025	NUM
ejpam-5551	12	6	the	the	DET
ejpam-5551	12	7	author(s	author(s	NOUN
ejpam-5551	12	8	)	)	PUNCT
ejpam-5551	12	9	.	.	PUNCT
ejpam-5551	13	1	(	(	PUNCT
ejpam-5551	13	2	cc	cc	NOUN
ejpam-5551	13	3	by	by	ADP
ejpam-5551	13	4	-	-	PUNCT
ejpam-5551	13	5	nc	nc	PROPN
ejpam-5551	13	6	4.0	4.0	NUM
ejpam-5551	13	7	)	)	PUNCT
ejpam-5551	14	1	p.	p.	NOUN
ejpam-5551	14	2	cheng	cheng	PROPN
ejpam-5551	14	3	et	et	PROPN
ejpam-5551	14	4	al	al	PROPN
ejpam-5551	14	5	.	.	PUNCT
ejpam-5551	14	6	/	/	SYM
ejpam-5551	14	7	eur	eur	PROPN
ejpam-5551	14	8	.	.	PUNCT
ejpam-5551	15	1	j.	j.	PROPN
ejpam-5551	15	2	pure	pure	PROPN
ejpam-5551	15	3	appl	appl	PROPN
ejpam-5551	15	4	.	.	PROPN
ejpam-5551	15	5	math	math	PROPN
ejpam-5551	15	6	,	,	PUNCT
ejpam-5551	15	7	18	18	NUM
ejpam-5551	15	8	(	(	PUNCT
ejpam-5551	15	9	1	1	NUM
ejpam-5551	15	10	)	)	PUNCT
ejpam-5551	15	11	(	(	PUNCT
ejpam-5551	15	12	2025	2025	NUM
ejpam-5551	15	13	)	)	PUNCT
ejpam-5551	15	14	,	,	PUNCT
ejpam-5551	15	15	5551	5551	NUM
ejpam-5551	15	16	2	2	NUM
ejpam-5551	15	17	of	of	ADP
ejpam-5551	15	18	22	22	NUM
ejpam-5551	15	19	1	1	NUM
ejpam-5551	15	20	.	.	PUNCT
ejpam-5551	16	1	introduction	introduction	NOUN
ejpam-5551	16	2	with	with	ADP
ejpam-5551	16	3	the	the	DET
ejpam-5551	16	4	development	development	NOUN
ejpam-5551	16	5	of	of	ADP
ejpam-5551	16	6	modern	modern	ADJ
ejpam-5551	16	7	science	science	NOUN
ejpam-5551	16	8	and	and	CCONJ
ejpam-5551	16	9	technology	technology	NOUN
ejpam-5551	16	10	and	and	CCONJ
ejpam-5551	16	11	the	the	DET
ejpam-5551	16	12	progress	progress	NOUN
ejpam-5551	16	13	of	of	ADP
ejpam-5551	16	14	society	society	NOUN
ejpam-5551	16	15	,	,	PUNCT
ejpam-5551	16	16	many	many	ADJ
ejpam-5551	16	17	fields	field	NOUN
ejpam-5551	16	18	are	be	AUX
ejpam-5551	16	19	faced	face	VERB
ejpam-5551	16	20	with	with	ADP
ejpam-5551	16	21	complex	complex	ADJ
ejpam-5551	16	22	optimization	optimization	NOUN
ejpam-5551	16	23	problems	problem	NOUN
ejpam-5551	16	24	,	,	PUNCT
ejpam-5551	16	25	which	which	PRON
ejpam-5551	16	26	often	often	ADV
ejpam-5551	16	27	involve	involve	VERB
ejpam-5551	16	28	multiple	multiple	ADJ
ejpam-5551	16	29	conflicting	conflicting	ADJ
ejpam-5551	16	30	or	or	CCONJ
ejpam-5551	16	31	interrelated	interrelated	ADJ
ejpam-5551	16	32	objectives	objective	NOUN
ejpam-5551	16	33	and	and	CCONJ
ejpam-5551	16	34	are	be	AUX
ejpam-5551	16	35	subject	subject	ADJ
ejpam-5551	16	36	to	to	ADP
ejpam-5551	16	37	multiple	multiple	ADJ
ejpam-5551	16	38	constraints	constraint	NOUN
ejpam-5551	16	39	at	at	ADP
ejpam-5551	16	40	the	the	DET
ejpam-5551	16	41	same	same	ADJ
ejpam-5551	16	42	time	time	NOUN
ejpam-5551	16	43	.	.	PUNCT
ejpam-5551	17	1	such	such	ADJ
ejpam-5551	17	2	problems	problem	NOUN
ejpam-5551	17	3	are	be	AUX
ejpam-5551	17	4	called	call	VERB
ejpam-5551	17	5	multi	multi	ADJ
ejpam-5551	17	6	-	-	ADJ
ejpam-5551	17	7	objective	objective	ADJ
ejpam-5551	17	8	constrained	constrain	VERB
ejpam-5551	17	9	optimization	optimization	NOUN
ejpam-5551	17	10	problems	problem	NOUN
ejpam-5551	17	11	(	(	PUNCT
ejpam-5551	17	12	mocops	mocop	NOUN
ejpam-5551	17	13	)	)	PUNCT
ejpam-5551	17	14	.	.	PUNCT
ejpam-5551	18	1	especially	especially	ADV
ejpam-5551	18	2	in	in	ADP
ejpam-5551	18	3	the	the	DET
ejpam-5551	18	4	fields	field	NOUN
ejpam-5551	18	5	of	of	ADP
ejpam-5551	18	6	industrial	industrial	ADJ
ejpam-5551	18	7	engineering	engineering	NOUN
ejpam-5551	18	8	,	,	PUNCT
ejpam-5551	18	9	economic	economic	ADJ
ejpam-5551	18	10	management	management	NOUN
ejpam-5551	18	11	,	,	PUNCT
ejpam-5551	18	12	environmental	environmental	ADJ
ejpam-5551	18	13	protection	protection	NOUN
ejpam-5551	18	14	,	,	PUNCT
ejpam-5551	18	15	travelling	travel	VERB
ejpam-5551	18	16	salesman	salesman	NOUN
ejpam-5551	18	17	problem[37	problem[37	PROPN
ejpam-5551	18	18	]	]	PUNCT
ejpam-5551	18	19	and	and	CCONJ
ejpam-5551	18	20	transportation	transportation	NOUN
ejpam-5551	18	21	[	[	X
ejpam-5551	18	22	16	16	NUM
ejpam-5551	18	23	,	,	PUNCT
ejpam-5551	18	24	36	36	NUM
ejpam-5551	18	25	]	]	PUNCT
ejpam-5551	18	26	,	,	PUNCT
ejpam-5551	18	27	the	the	DET
ejpam-5551	18	28	emergence	emergence	NOUN
ejpam-5551	18	29	of	of	ADP
ejpam-5551	18	30	multi	multi	ADJ
ejpam-5551	18	31	-	-	ADJ
ejpam-5551	18	32	objective	objective	ADJ
ejpam-5551	18	33	constrained	constrain	VERB
ejpam-5551	18	34	optimization	optimization	NOUN
ejpam-5551	18	35	problems	problem	NOUN
ejpam-5551	18	36	is	be	AUX
ejpam-5551	18	37	increasingly	increasingly	ADV
ejpam-5551	18	38	frequent	frequent	ADJ
ejpam-5551	18	39	and	and	CCONJ
ejpam-5551	18	40	the	the	DET
ejpam-5551	18	41	scale	scale	NOUN
ejpam-5551	18	42	is	be	AUX
ejpam-5551	18	43	increasing	increase	VERB
ejpam-5551	18	44	,	,	PUNCT
ejpam-5551	18	45	which	which	PRON
ejpam-5551	18	46	puts	put	VERB
ejpam-5551	18	47	higher	high	ADJ
ejpam-5551	18	48	demands	demand	NOUN
ejpam-5551	18	49	on	on	ADP
ejpam-5551	18	50	the	the	DET
ejpam-5551	18	51	efficiency	efficiency	NOUN
ejpam-5551	18	52	and	and	CCONJ
ejpam-5551	18	53	performance	performance	NOUN
ejpam-5551	18	54	of	of	ADP
ejpam-5551	18	55	optimization	optimization	NOUN
ejpam-5551	18	56	algorithms	algorithm	NOUN
ejpam-5551	18	57	.	.	PUNCT
ejpam-5551	19	1	traditional	traditional	ADJ
ejpam-5551	19	2	optimization	optimization	NOUN
ejpam-5551	19	3	algorithms	algorithm	NOUN
ejpam-5551	19	4	are	be	AUX
ejpam-5551	19	5	often	often	ADV
ejpam-5551	19	6	incompetent	incompetent	ADJ
ejpam-5551	19	7	in	in	ADP
ejpam-5551	19	8	dealing	deal	VERB
ejpam-5551	19	9	with	with	ADP
ejpam-5551	19	10	such	such	ADJ
ejpam-5551	19	11	problems	problem	NOUN
ejpam-5551	19	12	,	,	PUNCT
ejpam-5551	19	13	while	while	SCONJ
ejpam-5551	19	14	simple	simple	ADJ
ejpam-5551	19	15	multi	multi	ADJ
ejpam-5551	19	16	-	-	ADJ
ejpam-5551	19	17	objective	objective	ADJ
ejpam-5551	19	18	optimization	optimization	NOUN
ejpam-5551	19	19	algorithms	algorithm	NOUN
ejpam-5551	19	20	are	be	AUX
ejpam-5551	19	21	prone	prone	ADJ
ejpam-5551	19	22	to	to	PART
ejpam-5551	19	23	fall	fall	VERB
ejpam-5551	19	24	into	into	ADP
ejpam-5551	19	25	local	local	ADJ
ejpam-5551	19	26	optimum	optimum	ADJ
ejpam-5551	19	27	or	or	CCONJ
ejpam-5551	19	28	computational	computational	ADJ
ejpam-5551	19	29	inefficiency	inefficiency	NOUN
ejpam-5551	19	30	when	when	SCONJ
ejpam-5551	19	31	facing	face	VERB
ejpam-5551	19	32	large	large	ADJ
ejpam-5551	19	33	-	-	PUNCT
ejpam-5551	19	34	scale	scale	NOUN
ejpam-5551	19	35	problems	problem	NOUN
ejpam-5551	19	36	[	[	X
ejpam-5551	19	37	21	21	NUM
ejpam-5551	19	38	,	,	PUNCT
ejpam-5551	19	39	25	25	NUM
ejpam-5551	19	40	]	]	PUNCT
ejpam-5551	19	41	.	.	PUNCT
ejpam-5551	20	1	in	in	ADP
ejpam-5551	20	2	addition	addition	NOUN
ejpam-5551	20	3	,	,	PUNCT
ejpam-5551	20	4	the	the	DET
ejpam-5551	20	5	existence	existence	NOUN
ejpam-5551	20	6	of	of	ADP
ejpam-5551	20	7	constraints	constraint	NOUN
ejpam-5551	20	8	further	far	ADV
ejpam-5551	20	9	increases	increase	VERB
ejpam-5551	20	10	the	the	DET
ejpam-5551	20	11	complexity	complexity	NOUN
ejpam-5551	20	12	of	of	ADP
ejpam-5551	20	13	the	the	DET
ejpam-5551	20	14	problem	problem	NOUN
ejpam-5551	20	15	,	,	PUNCT
ejpam-5551	20	16	and	and	CCONJ
ejpam-5551	20	17	making	make	VERB
ejpam-5551	20	18	the	the	DET
ejpam-5551	20	19	algorithm	algorithm	NOUN
ejpam-5551	20	20	more	more	ADV
ejpam-5551	20	21	difficult	difficult	ADJ
ejpam-5551	20	22	to	to	PART
ejpam-5551	20	23	search	search	VERB
ejpam-5551	20	24	for	for	ADP
ejpam-5551	20	25	the	the	DET
ejpam-5551	20	26	optimal	optimal	ADJ
ejpam-5551	20	27	solution	solution	NOUN
ejpam-5551	20	28	.	.	PUNCT
ejpam-5551	21	1	therefore	therefore	ADV
ejpam-5551	21	2	,	,	PUNCT
ejpam-5551	21	3	the	the	DET
ejpam-5551	21	4	study	study	NOUN
ejpam-5551	21	5	of	of	ADP
ejpam-5551	21	6	effective	effective	ADJ
ejpam-5551	21	7	algorithms	algorithm	NOUN
ejpam-5551	21	8	for	for	ADP
ejpam-5551	21	9	solving	solve	VERB
ejpam-5551	21	10	large	large	ADJ
ejpam-5551	21	11	-	-	PUNCT
ejpam-5551	21	12	scale	scale	NOUN
ejpam-5551	21	13	multi	multi	ADJ
ejpam-5551	21	14	-	-	ADJ
ejpam-5551	21	15	objective	objective	ADJ
ejpam-5551	21	16	constrained	constrain	VERB
ejpam-5551	21	17	optimization	optimization	NOUN
ejpam-5551	21	18	problems	problem	NOUN
ejpam-5551	21	19	has	have	VERB
ejpam-5551	21	20	important	important	ADJ
ejpam-5551	21	21	theoretical	theoretical	ADJ
ejpam-5551	21	22	value	value	NOUN
ejpam-5551	21	23	and	and	CCONJ
ejpam-5551	21	24	practical	practical	ADJ
ejpam-5551	21	25	application	application	NOUN
ejpam-5551	21	26	significance	significance	NOUN
ejpam-5551	21	27	.	.	PUNCT
ejpam-5551	22	1	it	it	PRON
ejpam-5551	22	2	can	can	AUX
ejpam-5551	22	3	not	not	PART
ejpam-5551	22	4	only	only	ADV
ejpam-5551	22	5	promote	promote	VERB
ejpam-5551	22	6	the	the	DET
ejpam-5551	22	7	development	development	NOUN
ejpam-5551	22	8	of	of	ADP
ejpam-5551	22	9	optimization	optimization	NOUN
ejpam-5551	22	10	algorithm	algorithm	NOUN
ejpam-5551	22	11	theory	theory	NOUN
ejpam-5551	22	12	,	,	PUNCT
ejpam-5551	22	13	but	but	CCONJ
ejpam-5551	22	14	also	also	ADV
ejpam-5551	22	15	provide	provide	VERB
ejpam-5551	22	16	strong	strong	ADJ
ejpam-5551	22	17	technical	technical	ADJ
ejpam-5551	22	18	support	support	NOUN
ejpam-5551	22	19	for	for	ADP
ejpam-5551	22	20	solving	solve	VERB
ejpam-5551	22	21	practical	practical	ADJ
ejpam-5551	22	22	engineering	engineering	NOUN
ejpam-5551	22	23	problems	problem	NOUN
ejpam-5551	22	24	.	.	PUNCT
ejpam-5551	23	1	the	the	DET
ejpam-5551	23	2	mathematical	mathematical	ADJ
ejpam-5551	23	3	model	model	NOUN
ejpam-5551	23	4	of	of	ADP
ejpam-5551	23	5	the	the	DET
ejpam-5551	23	6	multi	multi	ADJ
ejpam-5551	23	7	-	-	ADJ
ejpam-5551	23	8	objective	objective	ADJ
ejpam-5551	23	9	optimization	optimization	NOUN
ejpam-5551	23	10	problem	problem	NOUN
ejpam-5551	23	11	(	(	PUNCT
ejpam-5551	23	12	moop	moop	NOUN
ejpam-5551	23	13	)	)	PUNCT
ejpam-5551	23	14	with	with	ADP
ejpam-5551	23	15	constraints	constraint	NOUN
ejpam-5551	23	16	,	,	PUNCT
ejpam-5551	23	17	which	which	PRON
ejpam-5551	23	18	is	be	AUX
ejpam-5551	23	19	mainly	mainly	ADV
ejpam-5551	23	20	solved	solve	VERB
ejpam-5551	23	21	in	in	ADP
ejpam-5551	23	22	this	this	DET
ejpam-5551	23	23	paper	paper	NOUN
ejpam-5551	23	24	,	,	PUNCT
ejpam-5551	23	25	can	can	AUX
ejpam-5551	23	26	be	be	AUX
ejpam-5551	23	27	expressed	express	VERB
ejpam-5551	23	28	as	as	SCONJ
ejpam-5551	23	29	follows	follow	VERB
ejpam-5551	23	30	:	:	PUNCT
ejpam-5551	23	31	min	min	PROPN
ejpam-5551	23	32	f(x	f(x	PROPN
ejpam-5551	23	33	)	)	PUNCT
ejpam-5551	23	34	=	=	PRON
ejpam-5551	23	35	(	(	PUNCT
ejpam-5551	23	36	f1(x	f1(x	NOUN
ejpam-5551	23	37	)	)	PUNCT
ejpam-5551	23	38	,	,	PUNCT
ejpam-5551	23	39	f2(x	f2(x	PROPN
ejpam-5551	23	40	)	)	PUNCT
ejpam-5551	23	41	,	,	PUNCT
ejpam-5551	23	42	·	·	PUNCT
ejpam-5551	23	43	·	·	PUNCT
ejpam-5551	23	44	·	·	PUNCT
ejpam-5551	23	45	,	,	PUNCT
ejpam-5551	23	46	fn(x))t	fn(x))t	X
ejpam-5551	23	47	,	,	PUNCT
ejpam-5551	23	48	s.t	s.t	PROPN
ejpam-5551	23	49	.	.	PROPN
ejpam-5551	23	50	gj(x	gj(x	PROPN
ejpam-5551	23	51	)	)	PUNCT
ejpam-5551	23	52	≤	≤	NUM
ejpam-5551	23	53	0	0	NUM
ejpam-5551	23	54	,	,	PUNCT
ejpam-5551	23	55	j	j	PROPN
ejpam-5551	23	56	=	=	SYM
ejpam-5551	23	57	1	1	NUM
ejpam-5551	23	58	,	,	PUNCT
ejpam-5551	23	59	2	2	NUM
ejpam-5551	23	60	,	,	PUNCT
ejpam-5551	23	61	·	·	PUNCT
ejpam-5551	23	62	·	·	PUNCT
ejpam-5551	23	63	·	·	PUNCT
ejpam-5551	23	64	,	,	PUNCT
ejpam-5551	23	65	p	p	X
ejpam-5551	23	66	,	,	PUNCT
ejpam-5551	23	67	x	x	SYM
ejpam-5551	23	68	∈	∈	PROPN
ejpam-5551	23	69	ω	ω	PROPN
ejpam-5551	23	70	,	,	PUNCT
ejpam-5551	23	71	(	(	PUNCT
ejpam-5551	23	72	1	1	NUM
ejpam-5551	23	73	)	)	PUNCT
ejpam-5551	23	74	where	where	SCONJ
ejpam-5551	23	75	,	,	PUNCT
ejpam-5551	23	76	x	x	SYM
ejpam-5551	23	77	=	=	SYM
ejpam-5551	23	78	(	(	PUNCT
ejpam-5551	23	79	x1	x1	PROPN
ejpam-5551	23	80	,	,	PUNCT
ejpam-5551	23	81	x2	x2	PROPN
ejpam-5551	23	82	,	,	PUNCT
ejpam-5551	23	83	·	·	PUNCT
ejpam-5551	23	84	·	·	PUNCT
ejpam-5551	23	85	·	·	PUNCT
ejpam-5551	23	86	,	,	PUNCT
ejpam-5551	23	87	xn)t	xn)t	PROPN
ejpam-5551	23	88	,	,	PUNCT
ejpam-5551	23	89	is	be	AUX
ejpam-5551	23	90	the	the	DET
ejpam-5551	23	91	n	n	ADV
ejpam-5551	23	92	-	-	PUNCT
ejpam-5551	23	93	dimensional	dimensional	ADJ
ejpam-5551	23	94	decision	decision	NOUN
ejpam-5551	23	95	vector	vector	NOUN
ejpam-5551	23	96	,	,	PUNCT
ejpam-5551	23	97	ω	ω	NOUN
ejpam-5551	23	98	=	=	PUNCT
ejpam-5551	24	1	[	[	X
ejpam-5551	24	2	xli	xli	X
ejpam-5551	24	3	,	,	PUNCT
ejpam-5551	24	4	x	x	PUNCT
ejpam-5551	24	5	u	u	NOUN
ejpam-5551	24	6	i	i	X
ejpam-5551	24	7	]	]	PUNCT
ejpam-5551	24	8	n	n	CCONJ
ejpam-5551	24	9	⊆	⊆	NUM
ejpam-5551	24	10	rn	rn	NOUN
ejpam-5551	24	11	,	,	PUNCT
ejpam-5551	24	12	denotes	denote	VERB
ejpam-5551	24	13	the	the	DET
ejpam-5551	24	14	decision	decision	NOUN
ejpam-5551	24	15	space	space	NOUN
ejpam-5551	24	16	,	,	PUNCT
ejpam-5551	24	17	f	f	PROPN
ejpam-5551	24	18	(	(	PUNCT
ejpam-5551	24	19	x	x	X
ejpam-5551	24	20	)	)	PUNCT
ejpam-5551	24	21	=	=	SYM
ejpam-5551	24	22	(	(	PUNCT
ejpam-5551	24	23	f1(x	f1(x	NOUN
ejpam-5551	24	24	)	)	PUNCT
ejpam-5551	24	25	,	,	PUNCT
ejpam-5551	24	26	f2(x	f2(x	PROPN
ejpam-5551	24	27	)	)	PUNCT
ejpam-5551	24	28	,	,	PUNCT
ejpam-5551	24	29	·	·	PUNCT
ejpam-5551	24	30	·	·	PUNCT
ejpam-5551	24	31	·	·	PUNCT
ejpam-5551	24	32	,	,	PUNCT
ejpam-5551	24	33	fn(x))t	fn(x))t	VERB
ejpam-5551	24	34	∈	∈	PROPN
ejpam-5551	24	35	rm	rm	NOUN
ejpam-5551	24	36	is	be	AUX
ejpam-5551	24	37	the	the	DET
ejpam-5551	24	38	objective	objective	ADJ
ejpam-5551	24	39	function	function	NOUN
ejpam-5551	24	40	and	and	CCONJ
ejpam-5551	24	41	rm	rm	NOUN
ejpam-5551	24	42	is	be	AUX
ejpam-5551	24	43	the	the	DET
ejpam-5551	24	44	m	m	ADJ
ejpam-5551	24	45	-	-	ADJ
ejpam-5551	24	46	dimensional	dimensional	ADJ
ejpam-5551	24	47	objective	objective	ADJ
ejpam-5551	24	48	space	space	NOUN
ejpam-5551	24	49	,	,	PUNCT
ejpam-5551	24	50	gj(x	gj(x	X
ejpam-5551	24	51	)	)	PUNCT
ejpam-5551	24	52	≤	≤	NUM
ejpam-5551	24	53	0	0	NUM
ejpam-5551	24	54	is	be	AUX
ejpam-5551	24	55	the	the	DET
ejpam-5551	24	56	j	j	PROPN
ejpam-5551	24	57	-	-	PUNCT
ejpam-5551	24	58	th	th	VERB
ejpam-5551	24	59	inequality	inequality	NOUN
ejpam-5551	24	60	constraint	constraint	NOUN
ejpam-5551	24	61	,	,	PUNCT
ejpam-5551	24	62	and	and	CCONJ
ejpam-5551	24	63	let	let	VERB
ejpam-5551	24	64	x	x	PRON
ejpam-5551	24	65	denote	denote	VERB
ejpam-5551	24	66	the	the	DET
ejpam-5551	24	67	set	set	NOUN
ejpam-5551	24	68	of	of	ADP
ejpam-5551	24	69	all	all	DET
ejpam-5551	24	70	feasible	feasible	ADJ
ejpam-5551	24	71	solutions	solution	NOUN
ejpam-5551	24	72	to	to	ADP
ejpam-5551	24	73	the	the	DET
ejpam-5551	24	74	problem	problem	NOUN
ejpam-5551	24	75	(	(	PUNCT
ejpam-5551	24	76	1	1	NUM
ejpam-5551	24	77	)	)	PUNCT
ejpam-5551	24	78	,	,	PUNCT
ejpam-5551	24	79	i.e.x	i.e.x	NOUN
ejpam-5551	24	80	=	=	SYM
ejpam-5551	24	81	{	{	PUNCT
ejpam-5551	24	82	x	x	PROPN
ejpam-5551	24	83	∈	∈	PROPN
ejpam-5551	24	84	rn	rn	PROPN
ejpam-5551	24	85	:	:	PUNCT
ejpam-5551	24	86	gj(x	gj(x	X
ejpam-5551	24	87	)	)	PUNCT
ejpam-5551	24	88	≤	≤	NUM
ejpam-5551	24	89	0	0	NUM
ejpam-5551	24	90	,	,	PUNCT
ejpam-5551	24	91	j	j	PROPN
ejpam-5551	24	92	=	=	SYM
ejpam-5551	24	93	1	1	NUM
ejpam-5551	24	94	,	,	PUNCT
ejpam-5551	24	95	2	2	NUM
ejpam-5551	24	96	,	,	PUNCT
ejpam-5551	24	97	·	·	PUNCT
ejpam-5551	24	98	·	·	PUNCT
ejpam-5551	24	99	·	·	PUNCT
ejpam-5551	24	100	,	,	PUNCT
ejpam-5551	24	101	p	p	X
ejpam-5551	24	102	}	}	PUNCT
ejpam-5551	24	103	.	.	PUNCT
ejpam-5551	25	1	the	the	DET
ejpam-5551	25	2	methods	method	NOUN
ejpam-5551	25	3	for	for	ADP
ejpam-5551	25	4	solving	solve	VERB
ejpam-5551	25	5	multi	multi	ADJ
ejpam-5551	25	6	-	-	ADJ
ejpam-5551	25	7	objective	objective	ADJ
ejpam-5551	25	8	optimization	optimization	NOUN
ejpam-5551	25	9	problems	problem	NOUN
ejpam-5551	25	10	primarily	primarily	ADV
ejpam-5551	25	11	consist	consist	VERB
ejpam-5551	25	12	of	of	ADP
ejpam-5551	25	13	classical	classical	ADJ
ejpam-5551	25	14	optimization	optimization	NOUN
ejpam-5551	25	15	techniques	technique	NOUN
ejpam-5551	25	16	and	and	CCONJ
ejpam-5551	25	17	intelligent	intelligent	ADJ
ejpam-5551	25	18	optimization	optimization	NOUN
ejpam-5551	25	19	algorithms	algorithm	NOUN
ejpam-5551	25	20	.	.	PUNCT
ejpam-5551	26	1	classical	classical	ADJ
ejpam-5551	26	2	multiobjective	multiobjective	ADJ
ejpam-5551	26	3	optimization	optimization	NOUN
ejpam-5551	26	4	methods	method	NOUN
ejpam-5551	26	5	encompass	encompass	VERB
ejpam-5551	26	6	the	the	DET
ejpam-5551	26	7	linear	linear	NOUN
ejpam-5551	26	8	weighted	weight	VERB
ejpam-5551	26	9	method	method	NOUN
ejpam-5551	26	10	,	,	PUNCT
ejpam-5551	26	11	main	main	ADJ
ejpam-5551	26	12	objective	objective	ADJ
ejpam-5551	26	13	method	method	NOUN
ejpam-5551	26	14	,	,	PUNCT
ejpam-5551	26	15	ideal	ideal	ADJ
ejpam-5551	26	16	point	point	NOUN
ejpam-5551	26	17	method	method	NOUN
ejpam-5551	26	18	[	[	X
ejpam-5551	26	19	6	6	NUM
ejpam-5551	26	20	]	]	PUNCT
ejpam-5551	26	21	,	,	PUNCT
ejpam-5551	26	22	and	and	CCONJ
ejpam-5551	26	23	evaluation	evaluation	NOUN
ejpam-5551	26	24	function	function	NOUN
ejpam-5551	26	25	method	method	NOUN
ejpam-5551	26	26	[	[	X
ejpam-5551	26	27	15	15	NUM
ejpam-5551	26	28	]	]	PUNCT
ejpam-5551	26	29	.	.	PUNCT
ejpam-5551	27	1	intelligent	intelligent	ADJ
ejpam-5551	27	2	optimization	optimization	NOUN
ejpam-5551	27	3	algorithms	algorithm	NOUN
ejpam-5551	27	4	mainly	mainly	ADV
ejpam-5551	27	5	include	include	VERB
ejpam-5551	27	6	genetic	genetic	ADJ
ejpam-5551	27	7	algorithms	algorithm	NOUN
ejpam-5551	27	8	(	(	PUNCT
ejpam-5551	27	9	ga	ga	NOUN
ejpam-5551	27	10	)	)	PUNCT
ejpam-5551	28	1	[	[	X
ejpam-5551	28	2	22	22	NUM
ejpam-5551	28	3	]	]	PUNCT
ejpam-5551	28	4	,	,	PUNCT
ejpam-5551	28	5	forbidden	forbid	VERB
ejpam-5551	28	6	search	search	NOUN
ejpam-5551	28	7	algorithm	algorithm	NOUN
ejpam-5551	28	8	(	(	PUNCT
ejpam-5551	28	9	tabu	tabu	NOUN
ejpam-5551	28	10	search	search	NOUN
ejpam-5551	28	11	)	)	PUNCT
ejpam-5551	29	1	[	[	X
ejpam-5551	29	2	18	18	NUM
ejpam-5551	29	3	]	]	PUNCT
ejpam-5551	29	4	,	,	PUNCT
ejpam-5551	29	5	simulated	simulate	VERB
ejpam-5551	29	6	annealing	anneal	VERB
ejpam-5551	29	7	algorithm	algorithm	NOUN
ejpam-5551	29	8	(	(	PUNCT
ejpam-5551	29	9	sa	sa	NOUN
ejpam-5551	29	10	)	)	PUNCT
ejpam-5551	30	1	[	[	X
ejpam-5551	30	2	3	3	NUM
ejpam-5551	30	3	]	]	PUNCT
ejpam-5551	30	4	,	,	PUNCT
ejpam-5551	30	5	ant	ant	ADJ
ejpam-5551	30	6	colony	colony	NOUN
ejpam-5551	30	7	algorithm	algorithm	NOUN
ejpam-5551	30	8	(	(	PUNCT
ejpam-5551	30	9	aca	aca	PROPN
ejpam-5551	30	10	)	)	PUNCT
ejpam-5551	31	1	[	[	X
ejpam-5551	31	2	30	30	NUM
ejpam-5551	31	3	]	]	PUNCT
ejpam-5551	31	4	,	,	PUNCT
ejpam-5551	31	5	particle	particle	NOUN
ejpam-5551	31	6	swarm	swarm	NOUN
ejpam-5551	31	7	optimization	optimization	NOUN
ejpam-5551	31	8	(	(	PUNCT
ejpam-5551	31	9	pso	pso	NOUN
ejpam-5551	31	10	)	)	PUNCT
ejpam-5551	31	11	algorithm	algorithm	NOUN
ejpam-5551	32	1	[	[	X
ejpam-5551	32	2	9	9	NUM
ejpam-5551	32	3	]	]	PUNCT
ejpam-5551	32	4	among	among	ADP
ejpam-5551	32	5	others	other	NOUN
ejpam-5551	32	6	.	.	PUNCT
ejpam-5551	33	1	intelligent	intelligent	ADJ
ejpam-5551	33	2	optimization	optimization	NOUN
ejpam-5551	33	3	algorithms	algorithm	NOUN
ejpam-5551	33	4	are	be	AUX
ejpam-5551	33	5	a	a	DET
ejpam-5551	33	6	class	class	NOUN
ejpam-5551	33	7	of	of	ADP
ejpam-5551	33	8	approaches	approach	NOUN
ejpam-5551	33	9	that	that	PRON
ejpam-5551	33	10	simulate	simulate	VERB
ejpam-5551	33	11	the	the	DET
ejpam-5551	33	12	mechanism	mechanism	NOUN
ejpam-5551	33	13	of	of	ADP
ejpam-5551	33	14	biological	biological	ADJ
ejpam-5551	33	15	evolution	evolution	NOUN
ejpam-5551	33	16	in	in	ADP
ejpam-5551	33	17	nature	nature	NOUN
ejpam-5551	33	18	to	to	PART
ejpam-5551	33	19	conduct	conduct	VERB
ejpam-5551	33	20	global	global	ADJ
ejpam-5551	33	21	probabilistic	probabilistic	ADJ
ejpam-5551	33	22	searches	search	NOUN
ejpam-5551	33	23	.	.	PUNCT
ejpam-5551	34	1	these	these	DET
ejpam-5551	34	2	algorithms	algorithm	NOUN
ejpam-5551	34	3	do	do	AUX
ejpam-5551	34	4	not	not	PART
ejpam-5551	34	5	require	require	VERB
ejpam-5551	34	6	the	the	DET
ejpam-5551	34	7	search	search	NOUN
ejpam-5551	34	8	process	process	NOUN
ejpam-5551	34	9	to	to	PART
ejpam-5551	34	10	possess	possess	VERB
ejpam-5551	34	11	properties	property	NOUN
ejpam-5551	34	12	such	such	ADJ
ejpam-5551	34	13	as	as	ADP
ejpam-5551	34	14	continuity	continuity	NOUN
ejpam-5551	34	15	,	,	PUNCT
ejpam-5551	34	16	differentiability	differentiability	NOUN
ejpam-5551	34	17	,	,	PUNCT
ejpam-5551	34	18	or	or	CCONJ
ejpam-5551	34	19	convexity	convexity	NOUN
ejpam-5551	34	20	within	within	ADP
ejpam-5551	34	21	the	the	DET
ejpam-5551	34	22	objective	objective	ADJ
ejpam-5551	34	23	function	function	NOUN
ejpam-5551	34	24	space	space	NOUN
ejpam-5551	34	25	.	.	PUNCT
ejpam-5551	35	1	they	they	PRON
ejpam-5551	35	2	can	can	AUX
ejpam-5551	35	3	obtain	obtain	VERB
ejpam-5551	35	4	a	a	DET
ejpam-5551	35	5	set	set	NOUN
ejpam-5551	35	6	of	of	ADP
ejpam-5551	35	7	nondominated	nondominate	VERB
ejpam-5551	35	8	solutions	solution	NOUN
ejpam-5551	35	9	by	by	ADP
ejpam-5551	35	10	decomposing	decompose	VERB
ejpam-5551	35	11	a	a	DET
ejpam-5551	35	12	multi	multi	ADJ
ejpam-5551	35	13	-	-	ADJ
ejpam-5551	35	14	objective	objective	ADJ
ejpam-5551	35	15	problem	problem	NOUN
ejpam-5551	35	16	into	into	ADP
ejpam-5551	35	17	sub	sub	NOUN
ejpam-5551	35	18	-	-	NOUN
ejpam-5551	35	19	problems	problem	NOUN
ejpam-5551	35	20	to	to	PART
ejpam-5551	35	21	be	be	AUX
ejpam-5551	35	22	solved	solve	VERB
ejpam-5551	35	23	.	.	PUNCT
ejpam-5551	36	1	p.	p.	NOUN
ejpam-5551	36	2	cheng	cheng	PROPN
ejpam-5551	36	3	et	et	PROPN
ejpam-5551	36	4	al	al	PROPN
ejpam-5551	36	5	.	.	PUNCT
ejpam-5551	36	6	/	/	SYM
ejpam-5551	36	7	eur	eur	PROPN
ejpam-5551	36	8	.	.	PUNCT
ejpam-5551	37	1	j.	j.	PROPN
ejpam-5551	37	2	pure	pure	PROPN
ejpam-5551	37	3	appl	appl	PROPN
ejpam-5551	37	4	.	.	PROPN
ejpam-5551	37	5	math	math	PROPN
ejpam-5551	37	6	,	,	PUNCT
ejpam-5551	37	7	18	18	NUM
ejpam-5551	37	8	(	(	PUNCT
ejpam-5551	37	9	1	1	NUM
ejpam-5551	37	10	)	)	PUNCT
ejpam-5551	37	11	(	(	PUNCT
ejpam-5551	37	12	2025	2025	NUM
ejpam-5551	37	13	)	)	PUNCT
ejpam-5551	37	14	,	,	PUNCT
ejpam-5551	37	15	5551	5551	NUM
ejpam-5551	37	16	3	3	NUM
ejpam-5551	37	17	of	of	ADP
ejpam-5551	37	18	22	22	NUM
ejpam-5551	37	19	however	however	ADV
ejpam-5551	37	20	,	,	PUNCT
ejpam-5551	37	21	these	these	DET
ejpam-5551	37	22	algorithms	algorithm	NOUN
ejpam-5551	37	23	face	face	VERB
ejpam-5551	37	24	challenges	challenge	NOUN
ejpam-5551	37	25	related	relate	VERB
ejpam-5551	37	26	to	to	ADP
ejpam-5551	37	27	fitness	fitness	NOUN
ejpam-5551	37	28	allocation	allocation	NOUN
ejpam-5551	37	29	and	and	CCONJ
ejpam-5551	37	30	diversity	diversity	NOUN
ejpam-5551	37	31	control	control	NOUN
ejpam-5551	37	32	as	as	ADP
ejpam-5551	37	33	dimensionality	dimensionality	NOUN
ejpam-5551	37	34	increases	increase	NOUN
ejpam-5551	37	35	.	.	PUNCT
ejpam-5551	38	1	additionally	additionally	ADV
ejpam-5551	38	2	,	,	PUNCT
ejpam-5551	38	3	due	due	ADP
ejpam-5551	38	4	to	to	ADP
ejpam-5551	38	5	their	their	PRON
ejpam-5551	38	6	population	population	NOUN
ejpam-5551	38	7	-	-	PUNCT
ejpam-5551	38	8	based	base	VERB
ejpam-5551	38	9	nature	nature	NOUN
ejpam-5551	38	10	,	,	PUNCT
ejpam-5551	38	11	they	they	PRON
ejpam-5551	38	12	tend	tend	VERB
ejpam-5551	38	13	to	to	PART
ejpam-5551	38	14	have	have	AUX
ejpam-5551	38	15	longer	long	ADV
ejpam-5551	38	16	running	run	VERB
ejpam-5551	38	17	times	time	NOUN
ejpam-5551	38	18	and	and	CCONJ
ejpam-5551	38	19	are	be	AUX
ejpam-5551	38	20	sensitive	sensitive	ADJ
ejpam-5551	38	21	to	to	ADP
ejpam-5551	38	22	parameter	parameter	NOUN
ejpam-5551	38	23	settings	setting	NOUN
ejpam-5551	38	24	.	.	PUNCT
ejpam-5551	39	1	on	on	ADP
ejpam-5551	39	2	the	the	DET
ejpam-5551	39	3	other	other	ADJ
ejpam-5551	39	4	hand	hand	NOUN
ejpam-5551	39	5	,	,	PUNCT
ejpam-5551	39	6	classical	classical	ADJ
ejpam-5551	39	7	multi	multi	ADJ
ejpam-5551	39	8	-	-	ADJ
ejpam-5551	39	9	objective	objective	ADJ
ejpam-5551	39	10	optimization	optimization	NOUN
ejpam-5551	39	11	algorithms	algorithm	NOUN
ejpam-5551	39	12	leverage	leverage	NOUN
ejpam-5551	39	13	characteristics	characteristic	NOUN
ejpam-5551	39	14	of	of	ADP
ejpam-5551	39	15	the	the	DET
ejpam-5551	39	16	solution	solution	NOUN
ejpam-5551	39	17	space	space	NOUN
ejpam-5551	39	18	such	such	ADJ
ejpam-5551	39	19	as	as	ADP
ejpam-5551	39	20	differentiability	differentiability	NOUN
ejpam-5551	39	21	and	and	CCONJ
ejpam-5551	39	22	possess	possess	VERB
ejpam-5551	39	23	more	more	ADV
ejpam-5551	39	24	well	well	ADV
ejpam-5551	39	25	-	-	PUNCT
ejpam-5551	39	26	established	establish	VERB
ejpam-5551	39	27	theories	theory	NOUN
ejpam-5551	39	28	with	with	ADP
ejpam-5551	39	29	lower	low	ADJ
ejpam-5551	39	30	computational	computational	ADJ
ejpam-5551	39	31	complexity	complexity	NOUN
ejpam-5551	39	32	and	and	CCONJ
ejpam-5551	39	33	faster	fast	ADJ
ejpam-5551	39	34	convergence	convergence	NOUN
ejpam-5551	39	35	speeds	speed	NOUN
ejpam-5551	39	36	along	along	ADP
ejpam-5551	39	37	with	with	ADP
ejpam-5551	39	38	definite	definite	ADJ
ejpam-5551	39	39	termination	termination	NOUN
ejpam-5551	39	40	criteria	criterion	NOUN
ejpam-5551	39	41	.	.	PUNCT
ejpam-5551	40	1	given	give	VERB
ejpam-5551	40	2	that	that	SCONJ
ejpam-5551	40	3	the	the	DET
ejpam-5551	40	4	linear	linear	NOUN
ejpam-5551	40	5	weighted	weight	VERB
ejpam-5551	40	6	method	method	NOUN
ejpam-5551	40	7	in	in	ADP
ejpam-5551	40	8	classical	classical	ADJ
ejpam-5551	40	9	optimization	optimization	NOUN
ejpam-5551	40	10	techniques	technique	NOUN
ejpam-5551	40	11	effectively	effectively	ADV
ejpam-5551	40	12	transforms	transform	VERB
ejpam-5551	40	13	multiple	multiple	ADJ
ejpam-5551	40	14	objective	objective	ADJ
ejpam-5551	40	15	functions	function	NOUN
ejpam-5551	40	16	into	into	ADP
ejpam-5551	40	17	a	a	DET
ejpam-5551	40	18	single	single	ADJ
ejpam-5551	40	19	one	one	NOUN
ejpam-5551	40	20	through	through	ADP
ejpam-5551	40	21	linear	linear	PROPN
ejpam-5551	40	22	weighted	weight	VERB
ejpam-5551	40	23	,	,	PUNCT
ejpam-5551	40	24	this	this	DET
ejpam-5551	40	25	paper	paper	NOUN
ejpam-5551	40	26	primarily	primarily	ADV
ejpam-5551	40	27	focuses	focus	VERB
ejpam-5551	40	28	on	on	ADP
ejpam-5551	40	29	utilizing	utilize	VERB
ejpam-5551	40	30	this	this	DET
ejpam-5551	40	31	approach	approach	NOUN
ejpam-5551	40	32	for	for	ADP
ejpam-5551	40	33	transforming	transform	VERB
ejpam-5551	40	34	problem	problem	NOUN
ejpam-5551	40	35	(	(	PUNCT
ejpam-5551	40	36	1	1	NUM
ejpam-5551	40	37	)	)	PUNCT
ejpam-5551	40	38	.	.	PUNCT
ejpam-5551	41	1	thus	thus	ADV
ejpam-5551	41	2	the	the	DET
ejpam-5551	41	3	problem	problem	NOUN
ejpam-5551	41	4	(	(	PUNCT
ejpam-5551	41	5	1	1	X
ejpam-5551	41	6	)	)	PUNCT
ejpam-5551	41	7	is	be	AUX
ejpam-5551	41	8	converted	convert	VERB
ejpam-5551	41	9	into	into	ADP
ejpam-5551	41	10	a	a	DET
ejpam-5551	41	11	solution	solution	NOUN
ejpam-5551	41	12	on	on	ADP
ejpam-5551	41	13	a	a	DET
ejpam-5551	41	14	single	single	ADJ
ejpam-5551	41	15	objective	objective	ADJ
ejpam-5551	41	16	constrained	constrain	VERB
ejpam-5551	41	17	optimization	optimization	NOUN
ejpam-5551	41	18	problem	problem	NOUN
ejpam-5551	41	19	(	(	PUNCT
ejpam-5551	41	20	soop	soop	NOUN
ejpam-5551	41	21	)	)	PUNCT
ejpam-5551	41	22	,	,	PUNCT
ejpam-5551	41	23	where	where	SCONJ
ejpam-5551	41	24	constraints	constraint	NOUN
ejpam-5551	41	25	play	play	VERB
ejpam-5551	41	26	a	a	DET
ejpam-5551	41	27	crucial	crucial	ADJ
ejpam-5551	41	28	role	role	NOUN
ejpam-5551	41	29	by	by	ADP
ejpam-5551	41	30	limiting	limit	VERB
ejpam-5551	41	31	the	the	DET
ejpam-5551	41	32	range	range	NOUN
ejpam-5551	41	33	of	of	ADP
ejpam-5551	41	34	feasible	feasible	ADJ
ejpam-5551	41	35	solutions	solution	NOUN
ejpam-5551	41	36	and	and	CCONJ
ejpam-5551	41	37	thus	thus	ADV
ejpam-5551	41	38	guiding	guide	VERB
ejpam-5551	41	39	the	the	DET
ejpam-5551	41	40	search	search	NOUN
ejpam-5551	41	41	process	process	NOUN
ejpam-5551	41	42	to	to	PART
ejpam-5551	41	43	find	find	VERB
ejpam-5551	41	44	the	the	DET
ejpam-5551	41	45	optimal	optimal	ADJ
ejpam-5551	41	46	solution	solution	NOUN
ejpam-5551	41	47	that	that	PRON
ejpam-5551	41	48	satisfies	satisfy	VERB
ejpam-5551	41	49	the	the	DET
ejpam-5551	41	50	actual	actual	ADJ
ejpam-5551	41	51	problem	problem	NOUN
ejpam-5551	41	52	.	.	PUNCT
ejpam-5551	42	1	there	there	PRON
ejpam-5551	42	2	are	be	VERB
ejpam-5551	42	3	various	various	ADJ
ejpam-5551	42	4	methods	method	NOUN
ejpam-5551	42	5	for	for	ADP
ejpam-5551	42	6	dealing	deal	VERB
ejpam-5551	42	7	with	with	ADP
ejpam-5551	42	8	constraints	constraint	NOUN
ejpam-5551	42	9	,	,	PUNCT
ejpam-5551	42	10	including	include	VERB
ejpam-5551	42	11	penalty	penalty	NOUN
ejpam-5551	42	12	function	function	NOUN
ejpam-5551	42	13	methods	method	NOUN
ejpam-5551	42	14	,	,	PUNCT
ejpam-5551	42	15	lagrange	lagrange	NOUN
ejpam-5551	42	16	multiplier	multipli	ADJ
ejpam-5551	42	17	methods	method	NOUN
ejpam-5551	42	18	,	,	PUNCT
ejpam-5551	42	19	projected	project	VERB
ejpam-5551	42	20	gradient	gradient	ADJ
ejpam-5551	42	21	methods	method	NOUN
ejpam-5551	42	22	,	,	PUNCT
ejpam-5551	42	23	feasible	feasible	ADJ
ejpam-5551	42	24	direction	direction	NOUN
ejpam-5551	42	25	methods	method	NOUN
ejpam-5551	42	26	,	,	PUNCT
ejpam-5551	42	27	genetic	genetic	ADJ
ejpam-5551	42	28	algorithms	algorithm	NOUN
ejpam-5551	42	29	,	,	PUNCT
ejpam-5551	42	30	evolutionary	evolutionary	ADJ
ejpam-5551	42	31	strategies	strategy	NOUN
ejpam-5551	42	32	,	,	PUNCT
ejpam-5551	42	33	evolutionary	evolutionary	ADJ
ejpam-5551	42	34	planning	planning	NOUN
ejpam-5551	42	35	,	,	PUNCT
ejpam-5551	42	36	and	and	CCONJ
ejpam-5551	42	37	constrained	constrain	VERB
ejpam-5551	42	38	variable	variable	ADJ
ejpam-5551	42	39	scale	scale	NOUN
ejpam-5551	42	40	methods	method	NOUN
ejpam-5551	42	41	[	[	X
ejpam-5551	42	42	17	17	NUM
ejpam-5551	42	43	,	,	PUNCT
ejpam-5551	42	44	23	23	NUM
ejpam-5551	42	45	,	,	PUNCT
ejpam-5551	42	46	29	29	NUM
ejpam-5551	42	47	,	,	PUNCT
ejpam-5551	42	48	32	32	NUM
ejpam-5551	42	49	]	]	PUNCT
ejpam-5551	42	50	.	.	PUNCT
ejpam-5551	43	1	among	among	ADP
ejpam-5551	43	2	them	they	PRON
ejpam-5551	43	3	,	,	PUNCT
ejpam-5551	43	4	the	the	DET
ejpam-5551	43	5	lagrange	lagrange	NOUN
ejpam-5551	43	6	method	method	NOUN
ejpam-5551	43	7	simplifies	simplify	VERB
ejpam-5551	43	8	the	the	DET
ejpam-5551	43	9	optimization	optimization	NOUN
ejpam-5551	43	10	problem	problem	NOUN
ejpam-5551	43	11	by	by	ADP
ejpam-5551	43	12	introducing	introduce	VERB
ejpam-5551	43	13	lagrange	lagrange	NOUN
ejpam-5551	43	14	multipliers	multiplier	NOUN
ejpam-5551	43	15	,	,	PUNCT
ejpam-5551	43	16	which	which	PRON
ejpam-5551	43	17	transform	transform	VERB
ejpam-5551	43	18	the	the	DET
ejpam-5551	43	19	constraints	constraint	NOUN
ejpam-5551	43	20	of	of	ADP
ejpam-5551	43	21	the	the	DET
ejpam-5551	43	22	original	original	ADJ
ejpam-5551	43	23	problem	problem	NOUN
ejpam-5551	43	24	into	into	ADP
ejpam-5551	43	25	the	the	DET
ejpam-5551	43	26	form	form	NOUN
ejpam-5551	43	27	of	of	ADP
ejpam-5551	43	28	penalty	penalty	NOUN
ejpam-5551	43	29	terms	term	NOUN
ejpam-5551	43	30	.	.	PUNCT
ejpam-5551	44	1	also	also	ADV
ejpam-5551	44	2	the	the	DET
ejpam-5551	44	3	lagrange	lagrange	NOUN
ejpam-5551	44	4	method	method	NOUN
ejpam-5551	44	5	has	have	VERB
ejpam-5551	44	6	higher	high	ADJ
ejpam-5551	44	7	flexibility	flexibility	NOUN
ejpam-5551	44	8	in	in	ADP
ejpam-5551	44	9	dealing	deal	VERB
ejpam-5551	44	10	with	with	ADP
ejpam-5551	44	11	constraints	constraint	NOUN
ejpam-5551	44	12	compared	compare	VERB
ejpam-5551	44	13	to	to	ADP
ejpam-5551	44	14	traditional	traditional	ADJ
ejpam-5551	44	15	optimization	optimization	NOUN
ejpam-5551	44	16	algorithms	algorithm	NOUN
ejpam-5551	44	17	.	.	PUNCT
ejpam-5551	45	1	it	it	PRON
ejpam-5551	45	2	can	can	AUX
ejpam-5551	45	3	deal	deal	VERB
ejpam-5551	45	4	with	with	ADP
ejpam-5551	45	5	a	a	DET
ejpam-5551	45	6	series	series	NOUN
ejpam-5551	45	7	of	of	ADP
ejpam-5551	45	8	complex	complex	ADJ
ejpam-5551	45	9	constraints	constraint	NOUN
ejpam-5551	45	10	,	,	PUNCT
ejpam-5551	45	11	including	include	VERB
ejpam-5551	45	12	some	some	DET
ejpam-5551	45	13	nonlinear	nonlinear	ADJ
ejpam-5551	45	14	conditions	condition	NOUN
ejpam-5551	45	15	,	,	PUNCT
ejpam-5551	45	16	which	which	PRON
ejpam-5551	45	17	has	have	VERB
ejpam-5551	45	18	a	a	DET
ejpam-5551	45	19	great	great	ADJ
ejpam-5551	45	20	advantage	advantage	NOUN
ejpam-5551	45	21	in	in	ADP
ejpam-5551	45	22	dealing	deal	VERB
ejpam-5551	45	23	with	with	ADP
ejpam-5551	45	24	problems	problem	NOUN
ejpam-5551	45	25	with	with	ADP
ejpam-5551	45	26	more	more	ADJ
ejpam-5551	45	27	complex	complex	ADJ
ejpam-5551	45	28	constraints	constraint	NOUN
ejpam-5551	45	29	.	.	PUNCT
ejpam-5551	46	1	therefore	therefore	ADV
ejpam-5551	46	2	,	,	PUNCT
ejpam-5551	46	3	in	in	ADP
ejpam-5551	46	4	this	this	DET
ejpam-5551	46	5	paper	paper	NOUN
ejpam-5551	46	6	,	,	PUNCT
ejpam-5551	46	7	the	the	DET
ejpam-5551	46	8	lagrange	lagrange	NOUN
ejpam-5551	46	9	method	method	NOUN
ejpam-5551	46	10	is	be	AUX
ejpam-5551	46	11	used	use	VERB
ejpam-5551	46	12	to	to	PART
ejpam-5551	46	13	deal	deal	VERB
ejpam-5551	46	14	with	with	ADP
ejpam-5551	46	15	the	the	DET
ejpam-5551	46	16	constraints	constraint	NOUN
ejpam-5551	46	17	of	of	ADP
ejpam-5551	46	18	problem	problem	NOUN
ejpam-5551	46	19	(	(	PUNCT
ejpam-5551	46	20	1	1	NUM
ejpam-5551	46	21	)	)	PUNCT
ejpam-5551	46	22	.	.	PUNCT
ejpam-5551	47	1	as	as	ADP
ejpam-5551	47	2	for	for	ADP
ejpam-5551	47	3	the	the	DET
ejpam-5551	47	4	solution	solution	NOUN
ejpam-5551	47	5	of	of	ADP
ejpam-5551	47	6	unconstrained	unconstrained	ADJ
ejpam-5551	47	7	optimization	optimization	NOUN
ejpam-5551	47	8	problems	problem	NOUN
ejpam-5551	47	9	,	,	PUNCT
ejpam-5551	47	10	the	the	DET
ejpam-5551	47	11	methods	method	NOUN
ejpam-5551	47	12	include	include	VERB
ejpam-5551	47	13	:	:	PUNCT
ejpam-5551	47	14	the	the	DET
ejpam-5551	47	15	most	most	ADV
ejpam-5551	47	16	rapid	rapid	ADJ
ejpam-5551	47	17	descent	descent	NOUN
ejpam-5551	47	18	method	method	NOUN
ejpam-5551	47	19	[	[	X
ejpam-5551	47	20	31	31	NUM
ejpam-5551	47	21	]	]	PUNCT
ejpam-5551	47	22	,	,	PUNCT
ejpam-5551	47	23	newton	newton	PROPN
ejpam-5551	47	24	method	method	NOUN
ejpam-5551	48	1	[	[	X
ejpam-5551	48	2	20	20	NUM
ejpam-5551	48	3	]	]	PUNCT
ejpam-5551	48	4	,	,	PUNCT
ejpam-5551	48	5	the	the	DET
ejpam-5551	48	6	proposed	propose	VERB
ejpam-5551	48	7	newton	newton	PROPN
ejpam-5551	48	8	method	method	NOUN
ejpam-5551	48	9	[	[	X
ejpam-5551	48	10	2	2	NUM
ejpam-5551	48	11	]	]	PUNCT
ejpam-5551	48	12	,	,	PUNCT
ejpam-5551	48	13	etc	etc	X
ejpam-5551	48	14	.	.	X
ejpam-5551	48	15	,	,	PUNCT
ejpam-5551	48	16	among	among	ADP
ejpam-5551	48	17	which	which	PRON
ejpam-5551	48	18	newton	newton	PROPN
ejpam-5551	48	19	method	method	NOUN
ejpam-5551	48	20	is	be	AUX
ejpam-5551	48	21	the	the	DET
ejpam-5551	48	22	classical	classical	ADJ
ejpam-5551	48	23	method	method	NOUN
ejpam-5551	48	24	for	for	ADP
ejpam-5551	48	25	solving	solve	VERB
ejpam-5551	48	26	unconstrained	unconstrained	ADJ
ejpam-5551	48	27	optimization	optimization	NOUN
ejpam-5551	48	28	problems	problem	NOUN
ejpam-5551	48	29	,	,	PUNCT
ejpam-5551	48	30	constructing	construct	VERB
ejpam-5551	48	31	newton	newton	PROPN
ejpam-5551	48	32	’s	’s	PART
ejpam-5551	48	33	iterative	iterative	ADJ
ejpam-5551	48	34	direction	direction	NOUN
ejpam-5551	48	35	under	under	ADP
ejpam-5551	48	36	the	the	DET
ejpam-5551	48	37	condition	condition	NOUN
ejpam-5551	48	38	that	that	SCONJ
ejpam-5551	48	39	the	the	DET
ejpam-5551	48	40	objective	objective	ADJ
ejpam-5551	48	41	function	function	NOUN
ejpam-5551	48	42	and	and	CCONJ
ejpam-5551	48	43	constraint	constraint	NOUN
ejpam-5551	48	44	function	function	NOUN
ejpam-5551	48	45	are	be	AUX
ejpam-5551	48	46	second	second	ADJ
ejpam-5551	48	47	-	-	PUNCT
ejpam-5551	48	48	order	order	NOUN
ejpam-5551	48	49	continuum	continuum	ADJ
ejpam-5551	48	50	differentiable	differentiable	NOUN
ejpam-5551	48	51	,	,	PUNCT
ejpam-5551	48	52	so	so	SCONJ
ejpam-5551	48	53	that	that	SCONJ
ejpam-5551	48	54	the	the	DET
ejpam-5551	48	55	direction	direction	NOUN
ejpam-5551	48	56	is	be	AUX
ejpam-5551	48	57	a	a	DET
ejpam-5551	48	58	descending	descend	VERB
ejpam-5551	48	59	direction	direction	NOUN
ejpam-5551	48	60	for	for	ADP
ejpam-5551	48	61	each	each	DET
ejpam-5551	48	62	objective	objective	ADJ
ejpam-5551	48	63	function	function	NOUN
ejpam-5551	48	64	under	under	ADP
ejpam-5551	48	65	the	the	DET
ejpam-5551	48	66	condition	condition	NOUN
ejpam-5551	48	67	of	of	ADP
ejpam-5551	48	68	feasibility	feasibility	NOUN
ejpam-5551	48	69	,	,	PUNCT
ejpam-5551	48	70	and	and	CCONJ
ejpam-5551	48	71	then	then	ADV
ejpam-5551	48	72	iteratively	iteratively	ADV
ejpam-5551	48	73	the	the	DET
ejpam-5551	48	74	optimal	optimal	ADJ
ejpam-5551	48	75	solution	solution	NOUN
ejpam-5551	48	76	is	be	AUX
ejpam-5551	48	77	finally	finally	ADV
ejpam-5551	48	78	obtained	obtain	VERB
ejpam-5551	48	79	.	.	PUNCT
ejpam-5551	49	1	therefore	therefore	ADV
ejpam-5551	49	2	,	,	PUNCT
ejpam-5551	49	3	it	it	PRON
ejpam-5551	49	4	is	be	AUX
ejpam-5551	49	5	very	very	ADV
ejpam-5551	49	6	widely	widely	ADV
ejpam-5551	49	7	used	use	VERB
ejpam-5551	49	8	,	,	PUNCT
ejpam-5551	49	9	and	and	CCONJ
ejpam-5551	49	10	this	this	DET
ejpam-5551	49	11	paper	paper	NOUN
ejpam-5551	49	12	also	also	ADV
ejpam-5551	49	13	mainly	mainly	ADV
ejpam-5551	49	14	considers	consider	VERB
ejpam-5551	49	15	the	the	DET
ejpam-5551	49	16	newton	newton	PROPN
ejpam-5551	49	17	method	method	NOUN
ejpam-5551	49	18	to	to	PART
ejpam-5551	49	19	solve	solve	VERB
ejpam-5551	49	20	the	the	DET
ejpam-5551	49	21	transformed	transform	VERB
ejpam-5551	49	22	unconstrained	unconstrained	ADJ
ejpam-5551	49	23	optimization	optimization	NOUN
ejpam-5551	49	24	problem	problem	NOUN
ejpam-5551	49	25	.	.	PUNCT
ejpam-5551	50	1	in	in	ADP
ejpam-5551	50	2	addition	addition	NOUN
ejpam-5551	50	3	the	the	DET
ejpam-5551	50	4	explicit	explicit	ADJ
ejpam-5551	50	5	group	group	NOUN
ejpam-5551	50	6	iteration	iteration	NOUN
ejpam-5551	50	7	originally	originally	ADV
ejpam-5551	50	8	originated	originate	VERB
ejpam-5551	50	9	from	from	ADP
ejpam-5551	50	10	the	the	DET
ejpam-5551	50	11	exploration	exploration	NOUN
ejpam-5551	50	12	of	of	ADP
ejpam-5551	50	13	numerical	numerical	ADJ
ejpam-5551	50	14	solutions	solution	NOUN
ejpam-5551	50	15	of	of	ADP
ejpam-5551	50	16	partial	partial	ADJ
ejpam-5551	50	17	differential	differential	ADJ
ejpam-5551	50	18	equations	equation	NOUN
ejpam-5551	50	19	.	.	PUNCT
ejpam-5551	51	1	such	such	ADJ
ejpam-5551	51	2	equations	equation	NOUN
ejpam-5551	51	3	have	have	VERB
ejpam-5551	51	4	a	a	DET
ejpam-5551	51	5	wide	wide	ADJ
ejpam-5551	51	6	range	range	NOUN
ejpam-5551	51	7	of	of	ADP
ejpam-5551	51	8	practical	practical	ADJ
ejpam-5551	51	9	applications	application	NOUN
ejpam-5551	51	10	,	,	PUNCT
ejpam-5551	51	11	including	include	VERB
ejpam-5551	51	12	fluid	fluid	ADJ
ejpam-5551	51	13	dynamics	dynamic	NOUN
ejpam-5551	51	14	,	,	PUNCT
ejpam-5551	51	15	thermodynamics	thermodynamic	NOUN
ejpam-5551	51	16	,	,	PUNCT
ejpam-5551	51	17	electromagnetism	electromagnetism	NOUN
ejpam-5551	51	18	,	,	PUNCT
ejpam-5551	51	19	and	and	CCONJ
ejpam-5551	51	20	other	other	ADJ
ejpam-5551	51	21	fields	field	NOUN
ejpam-5551	51	22	.	.	PUNCT
ejpam-5551	52	1	for	for	ADP
ejpam-5551	52	2	such	such	ADJ
ejpam-5551	52	3	problems	problem	NOUN
ejpam-5551	52	4	,	,	PUNCT
ejpam-5551	52	5	it	it	PRON
ejpam-5551	52	6	is	be	AUX
ejpam-5551	52	7	often	often	ADV
ejpam-5551	52	8	necessary	necessary	ADJ
ejpam-5551	52	9	to	to	PART
ejpam-5551	52	10	obtain	obtain	VERB
ejpam-5551	52	11	their	their	PRON
ejpam-5551	52	12	approximate	approximate	ADJ
ejpam-5551	52	13	solutions	solution	NOUN
ejpam-5551	52	14	through	through	ADP
ejpam-5551	52	15	numerical	numerical	ADJ
ejpam-5551	52	16	computation	computation	NOUN
ejpam-5551	52	17	.	.	PUNCT
ejpam-5551	53	1	the	the	DET
ejpam-5551	53	2	traditional	traditional	ADJ
ejpam-5551	53	3	numerical	numerical	ADJ
ejpam-5551	53	4	solution	solution	NOUN
ejpam-5551	53	5	methods	method	NOUN
ejpam-5551	53	6	,	,	PUNCT
ejpam-5551	53	7	such	such	ADJ
ejpam-5551	53	8	as	as	ADP
ejpam-5551	53	9	the	the	DET
ejpam-5551	53	10	finite	finite	ADJ
ejpam-5551	53	11	difference	difference	NOUN
ejpam-5551	53	12	method	method	NOUN
ejpam-5551	53	13	,	,	PUNCT
ejpam-5551	53	14	and	and	CCONJ
ejpam-5551	53	15	the	the	DET
ejpam-5551	53	16	finite	finite	ADJ
ejpam-5551	53	17	element	element	NOUN
ejpam-5551	53	18	method	method	NOUN
ejpam-5551	53	19	,	,	PUNCT
ejpam-5551	53	20	although	although	SCONJ
ejpam-5551	53	21	they	they	PRON
ejpam-5551	53	22	can	can	AUX
ejpam-5551	53	23	obtain	obtain	VERB
ejpam-5551	53	24	satisfactory	satisfactory	ADJ
ejpam-5551	53	25	solutions	solution	NOUN
ejpam-5551	53	26	in	in	ADP
ejpam-5551	53	27	many	many	ADJ
ejpam-5551	53	28	cases	case	NOUN
ejpam-5551	53	29	,	,	PUNCT
ejpam-5551	53	30	often	often	ADV
ejpam-5551	53	31	face	face	VERB
ejpam-5551	53	32	challenges	challenge	NOUN
ejpam-5551	53	33	such	such	ADJ
ejpam-5551	53	34	as	as	ADP
ejpam-5551	53	35	large	large	ADJ
ejpam-5551	53	36	computational	computational	ADJ
ejpam-5551	53	37	volume	volume	NOUN
ejpam-5551	53	38	and	and	CCONJ
ejpam-5551	53	39	poor	poor	ADJ
ejpam-5551	53	40	stability	stability	NOUN
ejpam-5551	53	41	when	when	SCONJ
ejpam-5551	53	42	dealing	deal	VERB
ejpam-5551	53	43	with	with	ADP
ejpam-5551	53	44	large	large	ADJ
ejpam-5551	53	45	-	-	PUNCT
ejpam-5551	53	46	scale	scale	NOUN
ejpam-5551	53	47	and	and	CCONJ
ejpam-5551	53	48	high	high	ADJ
ejpam-5551	53	49	-	-	PUNCT
ejpam-5551	53	50	complexity	complexity	NOUN
ejpam-5551	53	51	problems	problem	NOUN
ejpam-5551	53	52	.	.	PUNCT
ejpam-5551	54	1	therefore	therefore	ADV
ejpam-5551	54	2	,	,	PUNCT
ejpam-5551	54	3	researchers	researcher	NOUN
ejpam-5551	54	4	have	have	AUX
ejpam-5551	54	5	begun	begin	VERB
ejpam-5551	54	6	to	to	PART
ejpam-5551	54	7	explore	explore	VERB
ejpam-5551	54	8	new	new	ADJ
ejpam-5551	54	9	numerical	numerical	ADJ
ejpam-5551	54	10	solution	solution	NOUN
ejpam-5551	54	11	methods	method	NOUN
ejpam-5551	54	12	to	to	PART
ejpam-5551	54	13	address	address	VERB
ejpam-5551	54	14	these	these	DET
ejpam-5551	54	15	challenges	challenge	NOUN
ejpam-5551	54	16	.	.	PUNCT
ejpam-5551	55	1	the	the	DET
ejpam-5551	55	2	group	group	NOUN
ejpam-5551	55	3	explicit	explicit	ADJ
ejpam-5551	55	4	iteration	iteration	NOUN
ejpam-5551	55	5	method	method	NOUN
ejpam-5551	55	6	is	be	AUX
ejpam-5551	55	7	one	one	NUM
ejpam-5551	55	8	of	of	ADP
ejpam-5551	55	9	them	they	PRON
ejpam-5551	55	10	.	.	PUNCT
ejpam-5551	56	1	it	it	PRON
ejpam-5551	56	2	was	be	AUX
ejpam-5551	56	3	proposed	propose	VERB
ejpam-5551	56	4	by	by	ADP
ejpam-5551	56	5	evans	evans	PROPN
ejpam-5551	56	6	et	et	PROPN
ejpam-5551	56	7	al	al	PROPN
ejpam-5551	56	8	.	.	PROPN
ejpam-5551	57	1	in	in	ADP
ejpam-5551	57	2	1983	1983	NUM
ejpam-5551	57	3	with	with	ADP
ejpam-5551	57	4	the	the	DET
ejpam-5551	57	5	idea	idea	NOUN
ejpam-5551	57	6	of	of	ADP
ejpam-5551	57	7	group	group	NOUN
ejpam-5551	57	8	explicit	explicit	ADJ
ejpam-5551	57	9	(	(	PUNCT
ejpam-5551	57	10	ge	ge	PROPN
ejpam-5551	57	11	)	)	PUNCT
ejpam-5551	58	1	[	[	X
ejpam-5551	58	2	8	8	NUM
ejpam-5551	58	3	]	]	PUNCT
ejpam-5551	58	4	.	.	PUNCT
ejpam-5551	59	1	subsequently	subsequently	ADV
ejpam-5551	59	2	saudi	saudi	PROPN
ejpam-5551	59	3	et	et	PROPN
ejpam-5551	60	1	p.	p.	PROPN
ejpam-5551	60	2	cheng	cheng	PROPN
ejpam-5551	60	3	et	et	PROPN
ejpam-5551	60	4	al	al	PROPN
ejpam-5551	60	5	.	.	PUNCT
ejpam-5551	60	6	/	/	SYM
ejpam-5551	60	7	eur	eur	PROPN
ejpam-5551	60	8	.	.	PUNCT
ejpam-5551	61	1	j.	j.	PROPN
ejpam-5551	61	2	pure	pure	PROPN
ejpam-5551	61	3	appl	appl	PROPN
ejpam-5551	61	4	.	.	PROPN
ejpam-5551	61	5	math	math	PROPN
ejpam-5551	61	6	,	,	PUNCT
ejpam-5551	61	7	18	18	NUM
ejpam-5551	61	8	(	(	PUNCT
ejpam-5551	61	9	1	1	NUM
ejpam-5551	61	10	)	)	PUNCT
ejpam-5551	61	11	(	(	PUNCT
ejpam-5551	61	12	2025	2025	NUM
ejpam-5551	61	13	)	)	PUNCT
ejpam-5551	61	14	,	,	PUNCT
ejpam-5551	61	15	5551	5551	NUM
ejpam-5551	61	16	4	4	NUM
ejpam-5551	61	17	of	of	ADP
ejpam-5551	61	18	22	22	NUM
ejpam-5551	61	19	al	al	PROPN
ejpam-5551	61	20	.	.	PROPN
ejpam-5551	61	21	proposed	propose	VERB
ejpam-5551	61	22	an	an	DET
ejpam-5551	61	23	explicit	explicit	ADJ
ejpam-5551	61	24	group	group	NOUN
ejpam-5551	61	25	iteration	iteration	NOUN
ejpam-5551	61	26	based	base	VERB
ejpam-5551	61	27	on	on	ADP
ejpam-5551	61	28	the	the	DET
ejpam-5551	61	29	ge	ge	PROPN
ejpam-5551	61	30	method	method	PROPN
ejpam-5551	61	31	suitable	suitable	ADJ
ejpam-5551	61	32	for	for	ADP
ejpam-5551	61	33	robot	robot	NOUN
ejpam-5551	61	34	path	path	NOUN
ejpam-5551	61	35	planning	planning	PROPN
ejpam-5551	61	36	[	[	X
ejpam-5551	61	37	34	34	NUM
ejpam-5551	61	38	,	,	PUNCT
ejpam-5551	61	39	35	35	NUM
ejpam-5551	61	40	]	]	PUNCT
ejpam-5551	61	41	.	.	PUNCT
ejpam-5551	62	1	sulaiman	sulaiman	PROPN
ejpam-5551	62	2	et	et	PROPN
ejpam-5551	62	3	al	al	PROPN
ejpam-5551	62	4	.	.	PUNCT
ejpam-5551	63	1	[	[	X
ejpam-5551	63	2	38	38	NUM
ejpam-5551	63	3	]	]	PUNCT
ejpam-5551	63	4	have	have	AUX
ejpam-5551	63	5	proposed	propose	VERB
ejpam-5551	63	6	the	the	DET
ejpam-5551	63	7	concept	concept	NOUN
ejpam-5551	63	8	of	of	ADP
ejpam-5551	63	9	half	half	ADJ
ejpam-5551	63	10	-	-	PUNCT
ejpam-5551	63	11	sweep	sweep	NOUN
ejpam-5551	63	12	and	and	CCONJ
ejpam-5551	63	13	quartersweep	quartersweep	ADJ
ejpam-5551	63	14	iterations	iteration	NOUN
ejpam-5551	63	15	respectively	respectively	ADV
ejpam-5551	63	16	for	for	ADP
ejpam-5551	63	17	solving	solve	VERB
ejpam-5551	63	18	their	their	PRON
ejpam-5551	63	19	proposed	propose	VERB
ejpam-5551	63	20	problem	problem	NOUN
ejpam-5551	63	21	.	.	PUNCT
ejpam-5551	64	1	since	since	SCONJ
ejpam-5551	64	2	the	the	DET
ejpam-5551	64	3	application	application	NOUN
ejpam-5551	64	4	of	of	ADP
ejpam-5551	64	5	this	this	DET
ejpam-5551	64	6	method	method	NOUN
ejpam-5551	64	7	has	have	AUX
ejpam-5551	64	8	been	be	AUX
ejpam-5551	64	9	effectively	effectively	ADV
ejpam-5551	64	10	promoted	promote	VERB
ejpam-5551	64	11	,	,	PUNCT
ejpam-5551	64	12	lung	lung	PROPN
ejpam-5551	64	13	et	et	NOUN
ejpam-5551	64	14	al	al	PROPN
ejpam-5551	64	15	.	.	PUNCT
ejpam-5551	65	1	[	[	X
ejpam-5551	65	2	24	24	NUM
ejpam-5551	65	3	]	]	PUNCT
ejpam-5551	65	4	used	use	VERB
ejpam-5551	65	5	the	the	DET
ejpam-5551	65	6	explicit	explicit	ADJ
ejpam-5551	65	7	group	group	NOUN
ejpam-5551	65	8	iteration	iteration	NOUN
ejpam-5551	65	9	method	method	NOUN
ejpam-5551	65	10	to	to	PART
ejpam-5551	65	11	compute	compute	VERB
ejpam-5551	65	12	the	the	DET
ejpam-5551	65	13	solution	solution	NOUN
ejpam-5551	65	14	of	of	ADP
ejpam-5551	65	15	the	the	DET
ejpam-5551	65	16	telegraph	telegraph	NOUN
ejpam-5551	65	17	equation	equation	NOUN
ejpam-5551	65	18	,	,	PUNCT
ejpam-5551	65	19	and	and	CCONJ
ejpam-5551	65	20	ghazali	ghazali	PROPN
ejpam-5551	65	21	et	et	PROPN
ejpam-5551	65	22	al	al	PROPN
ejpam-5551	65	23	.	.	PROPN
ejpam-5551	66	1	combined	combine	VERB
ejpam-5551	66	2	this	this	DET
ejpam-5551	66	3	method	method	NOUN
ejpam-5551	66	4	with	with	ADP
ejpam-5551	66	5	newton	newton	PROPN
ejpam-5551	66	6	’s	’s	PART
ejpam-5551	66	7	method	method	NOUN
ejpam-5551	66	8	to	to	PART
ejpam-5551	66	9	propose	propose	VERB
ejpam-5551	66	10	a	a	DET
ejpam-5551	66	11	method	method	NOUN
ejpam-5551	66	12	for	for	ADP
ejpam-5551	66	13	solving	solve	VERB
ejpam-5551	66	14	unconstrained	unconstrained	ADJ
ejpam-5551	66	15	optimization	optimization	NOUN
ejpam-5551	66	16	problems	problem	NOUN
ejpam-5551	66	17	,	,	PUNCT
ejpam-5551	66	18	which	which	PRON
ejpam-5551	66	19	achieves	achieve	VERB
ejpam-5551	66	20	computational	computational	ADJ
ejpam-5551	66	21	efficiency	efficiency	NOUN
ejpam-5551	66	22	and	and	CCONJ
ejpam-5551	66	23	stability	stability	NOUN
ejpam-5551	66	24	enhancement	enhancement	NOUN
ejpam-5551	66	25	[	[	X
ejpam-5551	66	26	12	12	NUM
ejpam-5551	66	27	]	]	PUNCT
ejpam-5551	66	28	.	.	PUNCT
ejpam-5551	67	1	this	this	PRON
ejpam-5551	67	2	brings	bring	VERB
ejpam-5551	67	3	ideas	idea	NOUN
ejpam-5551	67	4	to	to	ADP
ejpam-5551	67	5	our	our	PRON
ejpam-5551	67	6	research	research	NOUN
ejpam-5551	67	7	,	,	PUNCT
ejpam-5551	67	8	and	and	CCONJ
ejpam-5551	67	9	in	in	ADP
ejpam-5551	67	10	this	this	DET
ejpam-5551	67	11	paper	paper	NOUN
ejpam-5551	67	12	,	,	PUNCT
ejpam-5551	67	13	we	we	PRON
ejpam-5551	67	14	consider	consider	VERB
ejpam-5551	67	15	extending	extend	VERB
ejpam-5551	67	16	the	the	DET
ejpam-5551	67	17	explicit	explicit	ADJ
ejpam-5551	67	18	group	group	NOUN
ejpam-5551	67	19	iteration	iteration	NOUN
ejpam-5551	67	20	into	into	ADP
ejpam-5551	67	21	2	2	NUM
ejpam-5551	67	22	-	-	PUNCT
ejpam-5551	67	23	point	point	NOUN
ejpam-5551	67	24	explicit	explicit	ADJ
ejpam-5551	67	25	group	group	NOUN
ejpam-5551	67	26	iteration	iteration	NOUN
ejpam-5551	67	27	and	and	CCONJ
ejpam-5551	67	28	4	4	NUM
ejpam-5551	67	29	-	-	PUNCT
ejpam-5551	67	30	point	point	NOUN
ejpam-5551	67	31	explicit	explicit	ADJ
ejpam-5551	67	32	group	group	NOUN
ejpam-5551	67	33	iteration	iteration	NOUN
ejpam-5551	67	34	,	,	PUNCT
ejpam-5551	67	35	and	and	CCONJ
ejpam-5551	67	36	combining	combine	VERB
ejpam-5551	67	37	them	they	PRON
ejpam-5551	67	38	with	with	ADP
ejpam-5551	67	39	gauss	gauss	ADJ
ejpam-5551	67	40	-	-	PUNCT
ejpam-5551	67	41	seidel	seidel	PROPN
ejpam-5551	67	42	iteration	iteration	NOUN
ejpam-5551	67	43	method	method	NOUN
ejpam-5551	67	44	for	for	ADP
ejpam-5551	67	45	solving	solve	VERB
ejpam-5551	67	46	linear	linear	NOUN
ejpam-5551	67	47	systems	system	NOUN
ejpam-5551	67	48	for	for	ADP
ejpam-5551	67	49	solving	solve	VERB
ejpam-5551	67	50	transformed	transform	VERB
ejpam-5551	67	51	unconstrained	unconstrained	ADJ
ejpam-5551	67	52	optimization	optimization	NOUN
ejpam-5551	67	53	problems	problem	NOUN
ejpam-5551	67	54	.	.	PUNCT
ejpam-5551	68	1	therefore	therefore	ADV
ejpam-5551	68	2	,	,	PUNCT
ejpam-5551	68	3	based	base	VERB
ejpam-5551	68	4	on	on	ADP
ejpam-5551	68	5	the	the	DET
ejpam-5551	68	6	research	research	NOUN
ejpam-5551	68	7	of	of	ADP
ejpam-5551	68	8	evans	evans	PROPN
ejpam-5551	68	9	and	and	CCONJ
ejpam-5551	68	10	ghazali	ghazali	PROPN
ejpam-5551	68	11	et	et	PROPN
ejpam-5551	68	12	al	al	PROPN
ejpam-5551	68	13	.	.	PROPN
ejpam-5551	68	14	,	,	PUNCT
ejpam-5551	68	15	we	we	PRON
ejpam-5551	68	16	extend	extend	VERB
ejpam-5551	68	17	their	their	PRON
ejpam-5551	68	18	works	work	NOUN
ejpam-5551	68	19	for	for	ADP
ejpam-5551	68	20	solving	solve	VERB
ejpam-5551	68	21	the	the	DET
ejpam-5551	68	22	(	(	PUNCT
ejpam-5551	68	23	1	1	NUM
ejpam-5551	68	24	)	)	PUNCT
ejpam-5551	68	25	in	in	ADP
ejpam-5551	68	26	this	this	DET
ejpam-5551	68	27	paper	paper	NOUN
ejpam-5551	68	28	.	.	PUNCT
ejpam-5551	69	1	the	the	DET
ejpam-5551	69	2	next	next	ADJ
ejpam-5551	69	3	part	part	NOUN
ejpam-5551	69	4	of	of	ADP
ejpam-5551	69	5	this	this	DET
ejpam-5551	69	6	paper	paper	NOUN
ejpam-5551	69	7	consists	consist	VERB
ejpam-5551	69	8	of	of	ADP
ejpam-5551	69	9	the	the	DET
ejpam-5551	69	10	following	follow	VERB
ejpam-5551	69	11	main	main	ADJ
ejpam-5551	69	12	parts	part	NOUN
ejpam-5551	69	13	:	:	PUNCT
ejpam-5551	69	14	the	the	DET
ejpam-5551	69	15	second	second	ADJ
ejpam-5551	69	16	part	part	NOUN
ejpam-5551	69	17	introduces	introduce	VERB
ejpam-5551	69	18	the	the	DET
ejpam-5551	69	19	weighted	weight	VERB
ejpam-5551	69	20	sum	sum	NOUN
ejpam-5551	69	21	method	method	NOUN
ejpam-5551	69	22	and	and	CCONJ
ejpam-5551	69	23	the	the	DET
ejpam-5551	69	24	lagrange	lagrange	NOUN
ejpam-5551	69	25	multiplier	multipli	ADJ
ejpam-5551	69	26	method	method	NOUN
ejpam-5551	69	27	for	for	ADP
ejpam-5551	69	28	transforming	transform	VERB
ejpam-5551	69	29	the	the	DET
ejpam-5551	69	30	problem	problem	NOUN
ejpam-5551	69	31	(	(	PUNCT
ejpam-5551	69	32	1	1	NUM
ejpam-5551	69	33	)	)	PUNCT
ejpam-5551	69	34	into	into	ADP
ejpam-5551	69	35	an	an	DET
ejpam-5551	69	36	unconstrained	unconstrained	ADJ
ejpam-5551	69	37	single	single	ADJ
ejpam-5551	69	38	-	-	PUNCT
ejpam-5551	69	39	objective	objective	ADJ
ejpam-5551	69	40	optimization	optimization	NOUN
ejpam-5551	69	41	problem	problem	NOUN
ejpam-5551	69	42	,	,	PUNCT
ejpam-5551	69	43	at	at	ADP
ejpam-5551	69	44	the	the	DET
ejpam-5551	69	45	same	same	ADJ
ejpam-5551	69	46	time	time	NOUN
ejpam-5551	69	47	,	,	PUNCT
ejpam-5551	69	48	we	we	PRON
ejpam-5551	69	49	give	give	VERB
ejpam-5551	69	50	the	the	DET
ejpam-5551	69	51	convergence	convergence	NOUN
ejpam-5551	69	52	proof	proof	NOUN
ejpam-5551	69	53	;	;	PUNCT
ejpam-5551	69	54	the	the	DET
ejpam-5551	69	55	third	third	ADJ
ejpam-5551	69	56	part	part	NOUN
ejpam-5551	69	57	presents	present	VERB
ejpam-5551	69	58	the	the	DET
ejpam-5551	69	59	new	new	PROPN
ejpam-5551	69	60	newton	newton	PROPN
ejpam-5551	69	61	group	group	PROPN
ejpam-5551	69	62	iterative	iterative	NOUN
ejpam-5551	69	63	methods	method	NOUN
ejpam-5551	69	64	proposed	propose	VERB
ejpam-5551	69	65	in	in	ADP
ejpam-5551	69	66	this	this	DET
ejpam-5551	69	67	paper	paper	NOUN
ejpam-5551	69	68	.	.	PUNCT
ejpam-5551	70	1	numerical	numerical	ADJ
ejpam-5551	70	2	experiments	experiment	NOUN
ejpam-5551	70	3	and	and	CCONJ
ejpam-5551	70	4	presentation	presentation	NOUN
ejpam-5551	70	5	of	of	ADP
ejpam-5551	70	6	results	result	NOUN
ejpam-5551	70	7	are	be	AUX
ejpam-5551	70	8	given	give	VERB
ejpam-5551	70	9	in	in	ADP
ejpam-5551	70	10	the	the	DET
ejpam-5551	70	11	fourth	fourth	ADJ
ejpam-5551	70	12	part	part	NOUN
ejpam-5551	70	13	,	,	PUNCT
ejpam-5551	70	14	and	and	CCONJ
ejpam-5551	70	15	finally	finally	ADV
ejpam-5551	70	16	some	some	DET
ejpam-5551	70	17	conclusions	conclusion	NOUN
ejpam-5551	70	18	are	be	AUX
ejpam-5551	70	19	discussed	discuss	VERB
ejpam-5551	70	20	in	in	ADP
ejpam-5551	70	21	the	the	DET
ejpam-5551	70	22	fifth	fifth	ADJ
ejpam-5551	70	23	part	part	NOUN
ejpam-5551	70	24	.	.	PUNCT
ejpam-5551	71	1	2	2	X
ejpam-5551	71	2	.	.	X
ejpam-5551	71	3	formulation	formulation	NOUN
ejpam-5551	71	4	of	of	ADP
ejpam-5551	71	5	weighted	weight	VERB
ejpam-5551	71	6	lagrange	lagrange	NOUN
ejpam-5551	71	7	method	method	NOUN
ejpam-5551	71	8	and	and	CCONJ
ejpam-5551	71	9	its	its	PRON
ejpam-5551	71	10	convergence	convergence	NOUN
ejpam-5551	71	11	analysis	analysis	NOUN
ejpam-5551	71	12	in	in	ADP
ejpam-5551	71	13	this	this	DET
ejpam-5551	71	14	section	section	NOUN
ejpam-5551	71	15	,	,	PUNCT
ejpam-5551	71	16	we	we	PRON
ejpam-5551	71	17	give	give	VERB
ejpam-5551	71	18	the	the	DET
ejpam-5551	71	19	main	main	ADJ
ejpam-5551	71	20	steps	step	NOUN
ejpam-5551	71	21	for	for	ADP
ejpam-5551	71	22	transforming	transform	VERB
ejpam-5551	71	23	a	a	DET
ejpam-5551	71	24	multi	multi	ADJ
ejpam-5551	71	25	-	-	ADJ
ejpam-5551	71	26	objective	objective	ADJ
ejpam-5551	71	27	constrained	constrain	VERB
ejpam-5551	71	28	optimization	optimization	NOUN
ejpam-5551	71	29	problem	problem	NOUN
ejpam-5551	71	30	(	(	PUNCT
ejpam-5551	71	31	1	1	NUM
ejpam-5551	71	32	)	)	PUNCT
ejpam-5551	71	33	into	into	ADP
ejpam-5551	71	34	a	a	DET
ejpam-5551	71	35	single	single	ADJ
ejpam-5551	71	36	-	-	PUNCT
ejpam-5551	71	37	objective	objective	ADJ
ejpam-5551	71	38	unconstrained	unconstrained	ADJ
ejpam-5551	71	39	optimization	optimization	NOUN
ejpam-5551	71	40	problem	problem	NOUN
ejpam-5551	71	41	and	and	CCONJ
ejpam-5551	71	42	the	the	DET
ejpam-5551	71	43	relevant	relevant	ADJ
ejpam-5551	71	44	lemmas	lemma	NOUN
ejpam-5551	71	45	for	for	ADP
ejpam-5551	71	46	establishing	establish	VERB
ejpam-5551	71	47	the	the	DET
ejpam-5551	71	48	equivalence	equivalence	NOUN
ejpam-5551	71	49	of	of	ADP
ejpam-5551	71	50	the	the	DET
ejpam-5551	71	51	corresponding	corresponding	ADJ
ejpam-5551	71	52	problems	problem	NOUN
ejpam-5551	71	53	.	.	PUNCT
ejpam-5551	72	1	based	base	VERB
ejpam-5551	72	2	on	on	ADP
ejpam-5551	72	3	the	the	DET
ejpam-5551	72	4	equivalence	equivalence	NOUN
ejpam-5551	72	5	lemmas	lemmas	ADV
ejpam-5551	72	6	,	,	PUNCT
ejpam-5551	72	7	we	we	PRON
ejpam-5551	72	8	give	give	VERB
ejpam-5551	72	9	a	a	DET
ejpam-5551	72	10	convergence	convergence	NOUN
ejpam-5551	72	11	row	row	NOUN
ejpam-5551	72	12	analysis	analysis	NOUN
ejpam-5551	72	13	of	of	ADP
ejpam-5551	72	14	the	the	DET
ejpam-5551	72	15	new	new	ADJ
ejpam-5551	72	16	method	method	NOUN
ejpam-5551	72	17	.	.	PUNCT
ejpam-5551	73	1	2.1	2.1	NUM
ejpam-5551	73	2	.	.	PUNCT
ejpam-5551	73	3	weighted	weight	VERB
ejpam-5551	73	4	lagrange	lagrange	PROPN
ejpam-5551	73	5	multiplier	multipli	ADJ
ejpam-5551	73	6	method	method	NOUN
ejpam-5551	73	7	we	we	PRON
ejpam-5551	73	8	consider	consider	VERB
ejpam-5551	73	9	transforming	transform	VERB
ejpam-5551	73	10	the	the	DET
ejpam-5551	73	11	multi	multi	ADJ
ejpam-5551	73	12	-	-	ADJ
ejpam-5551	73	13	objective	objective	ADJ
ejpam-5551	73	14	constrained	constrain	VERB
ejpam-5551	73	15	optimization	optimization	NOUN
ejpam-5551	73	16	problem	problem	NOUN
ejpam-5551	73	17	into	into	ADP
ejpam-5551	73	18	a	a	DET
ejpam-5551	73	19	single	single	ADJ
ejpam-5551	73	20	-	-	PUNCT
ejpam-5551	73	21	objective	objective	ADJ
ejpam-5551	73	22	constrained	constrain	VERB
ejpam-5551	73	23	optimization	optimization	NOUN
ejpam-5551	73	24	problem	problem	NOUN
ejpam-5551	73	25	using	use	VERB
ejpam-5551	73	26	the	the	DET
ejpam-5551	73	27	linear	linear	NOUN
ejpam-5551	73	28	weighted	weight	VERB
ejpam-5551	73	29	sum	sum	NOUN
ejpam-5551	73	30	method	method	NOUN
ejpam-5551	73	31	with	with	ADP
ejpam-5551	73	32	the	the	DET
ejpam-5551	73	33	following	follow	VERB
ejpam-5551	73	34	expression	expression	NOUN
ejpam-5551	73	35	:	:	PUNCT
ejpam-5551	73	36	min	min	PROPN
ejpam-5551	73	37	f	f	PROPN
ejpam-5551	73	38	(	(	PUNCT
ejpam-5551	73	39	x	x	X
ejpam-5551	73	40	)	)	PUNCT
ejpam-5551	73	41	=	=	SYM
ejpam-5551	73	42	w1f1(x	w1f1(x	PROPN
ejpam-5551	73	43	)	)	PUNCT
ejpam-5551	73	44	+	+	NUM
ejpam-5551	73	45	w2f2(x	w2f2(x	X
ejpam-5551	73	46	)	)	PUNCT
ejpam-5551	73	47	+	+	NUM
ejpam-5551	73	48	·	·	PUNCT
ejpam-5551	73	49	·	·	PUNCT
ejpam-5551	74	1	·	·	PUNCT
ejpam-5551	74	2	+	+	CCONJ
ejpam-5551	74	3	wnfn(x	wnfn(x	PROPN
ejpam-5551	74	4	)	)	PUNCT
ejpam-5551	74	5	,	,	PUNCT
ejpam-5551	74	6	s.t	s.t	PROPN
ejpam-5551	74	7	.	.	PROPN
ejpam-5551	74	8	gj(x	gj(x	PROPN
ejpam-5551	74	9	)	)	PUNCT
ejpam-5551	74	10	≤	≤	NUM
ejpam-5551	74	11	0	0	NUM
ejpam-5551	74	12	,	,	PUNCT
ejpam-5551	74	13	j	j	PROPN
ejpam-5551	74	14	=	=	SYM
ejpam-5551	74	15	1	1	NUM
ejpam-5551	74	16	,	,	PUNCT
ejpam-5551	74	17	2	2	NUM
ejpam-5551	74	18	,	,	PUNCT
ejpam-5551	74	19	·	·	PUNCT
ejpam-5551	74	20	·	·	PUNCT
ejpam-5551	74	21	·	·	PUNCT
ejpam-5551	74	22	,	,	PUNCT
ejpam-5551	74	23	p	p	X
ejpam-5551	74	24	,	,	PUNCT
ejpam-5551	74	25	x	x	SYM
ejpam-5551	74	26	∈	∈	PROPN
ejpam-5551	74	27	ω	ω	PROPN
ejpam-5551	74	28	.	.	PUNCT
ejpam-5551	75	1	(	(	PUNCT
ejpam-5551	75	2	2	2	NUM
ejpam-5551	75	3	)	)	PUNCT
ejpam-5551	75	4	where	where	SCONJ
ejpam-5551	75	5	,	,	PUNCT
ejpam-5551	75	6	wi	wi	PROPN
ejpam-5551	75	7	≤	≤	PROPN
ejpam-5551	75	8	0(i	0(i	NUM
ejpam-5551	76	1	=	=	SYM
ejpam-5551	77	1	1	1	NUM
ejpam-5551	77	2	,	,	PUNCT
ejpam-5551	77	3	.	.	PUNCT
ejpam-5551	77	4	.	.	PUNCT
ejpam-5551	77	5	.	.	PUNCT
ejpam-5551	78	1	,	,	PUNCT
ejpam-5551	78	2	m	m	PROPN
ejpam-5551	78	3	)	)	PUNCT
ejpam-5551	78	4	is	be	AUX
ejpam-5551	78	5	the	the	DET
ejpam-5551	78	6	weight	weight	NOUN
ejpam-5551	78	7	and	and	CCONJ
ejpam-5551	78	8	∑m	∑m	NOUN
ejpam-5551	78	9	i=1	i=1	PROPN
ejpam-5551	79	1	=	=	NOUN
ejpam-5551	79	2	1	1	X
ejpam-5551	79	3	.	.	PUNCT
ejpam-5551	79	4	definition	definition	NOUN
ejpam-5551	79	5	1	1	NUM
ejpam-5551	79	6	.	.	PUNCT
ejpam-5551	80	1	[	[	X
ejpam-5551	80	2	26	26	NUM
ejpam-5551	80	3	]	]	X
ejpam-5551	80	4	it	it	PRON
ejpam-5551	80	5	is	be	AUX
ejpam-5551	80	6	known	know	VERB
ejpam-5551	80	7	that	that	SCONJ
ejpam-5551	80	8	x	x	PROPN
ejpam-5551	80	9	⊆	⊆	NUM
ejpam-5551	80	10	rn	rn	NOUN
ejpam-5551	80	11	is	be	AUX
ejpam-5551	80	12	a	a	DET
ejpam-5551	80	13	feasible	feasible	ADJ
ejpam-5551	80	14	solution	solution	NOUN
ejpam-5551	80	15	set	set	VERB
ejpam-5551	80	16	for	for	ADP
ejpam-5551	80	17	the	the	DET
ejpam-5551	80	18	model	model	NOUN
ejpam-5551	80	19	(	(	PUNCT
ejpam-5551	80	20	1	1	NUM
ejpam-5551	80	21	)	)	PUNCT
ejpam-5551	80	22	,	,	PUNCT
ejpam-5551	80	23	and	and	CCONJ
ejpam-5551	80	24	obviously	obviously	ADV
ejpam-5551	80	25	for	for	ADP
ejpam-5551	80	26	(	(	PUNCT
ejpam-5551	80	27	2	2	NUM
ejpam-5551	80	28	)	)	PUNCT
ejpam-5551	80	29	,	,	PUNCT
ejpam-5551	80	30	if	if	SCONJ
ejpam-5551	80	31	x	x	SYM
ejpam-5551	80	32	⊆	⊆	NUM
ejpam-5551	80	33	x	x	PUNCT
ejpam-5551	80	34	and	and	CCONJ
ejpam-5551	80	35	there	there	PRON
ejpam-5551	80	36	exists	exist	VERB
ejpam-5551	80	37	no	no	DET
ejpam-5551	80	38	x	x	NOUN
ejpam-5551	80	39	∈	∈	NOUN
ejpam-5551	80	40	x	x	X
ejpam-5551	80	41	such	such	ADJ
ejpam-5551	80	42	that	that	SCONJ
ejpam-5551	80	43	f	f	PROPN
ejpam-5551	80	44	(	(	PUNCT
ejpam-5551	80	45	x	x	NOUN
ejpam-5551	80	46	)	)	PUNCT
ejpam-5551	80	47	≤	≤	NUM
ejpam-5551	80	48	f	f	X
ejpam-5551	80	49	(	(	PUNCT
ejpam-5551	80	50	x∗	x∗	PROPN
ejpam-5551	80	51	)	)	PUNCT
ejpam-5551	80	52	then	then	ADV
ejpam-5551	80	53	x∗	x∗	PROPN
ejpam-5551	80	54	∈	∈	PROPN
ejpam-5551	80	55	x	x	PUNCT
ejpam-5551	80	56	is	be	AUX
ejpam-5551	80	57	said	say	VERB
ejpam-5551	80	58	to	to	PART
ejpam-5551	80	59	be	be	AUX
ejpam-5551	80	60	an	an	DET
ejpam-5551	80	61	optimal	optimal	ADJ
ejpam-5551	80	62	solution	solution	NOUN
ejpam-5551	80	63	to	to	ADP
ejpam-5551	80	64	the	the	DET
ejpam-5551	80	65	constrained	constrain	VERB
ejpam-5551	80	66	optimization	optimization	NOUN
ejpam-5551	80	67	problem	problem	NOUN
ejpam-5551	80	68	(	(	PUNCT
ejpam-5551	80	69	2	2	NUM
ejpam-5551	80	70	)	)	PUNCT
ejpam-5551	80	71	.	.	PUNCT
ejpam-5551	81	1	p.	p.	NOUN
ejpam-5551	81	2	cheng	cheng	PROPN
ejpam-5551	81	3	et	et	PROPN
ejpam-5551	82	1	al	al	PROPN
ejpam-5551	82	2	.	.	PUNCT
ejpam-5551	82	3	/	/	SYM
ejpam-5551	82	4	eur	eur	PROPN
ejpam-5551	82	5	.	.	PUNCT
ejpam-5551	83	1	j.	j.	PROPN
ejpam-5551	83	2	pure	pure	PROPN
ejpam-5551	83	3	appl	appl	PROPN
ejpam-5551	83	4	.	.	PROPN
ejpam-5551	83	5	math	math	PROPN
ejpam-5551	83	6	,	,	PUNCT
ejpam-5551	83	7	18	18	NUM
ejpam-5551	83	8	(	(	PUNCT
ejpam-5551	83	9	1	1	NUM
ejpam-5551	83	10	)	)	PUNCT
ejpam-5551	83	11	(	(	PUNCT
ejpam-5551	83	12	2025	2025	NUM
ejpam-5551	83	13	)	)	PUNCT
ejpam-5551	83	14	,	,	PUNCT
ejpam-5551	83	15	5551	5551	NUM
ejpam-5551	83	16	5	5	NUM
ejpam-5551	83	17	of	of	ADP
ejpam-5551	83	18	22	22	NUM
ejpam-5551	83	19	the	the	DET
ejpam-5551	83	20	following	follow	VERB
ejpam-5551	83	21	lemma	lemma	PROPN
ejpam-5551	83	22	establishes	establish	VERB
ejpam-5551	83	23	the	the	DET
ejpam-5551	83	24	equivalence	equivalence	NOUN
ejpam-5551	83	25	between	between	ADP
ejpam-5551	83	26	the	the	DET
ejpam-5551	83	27	linear	linear	NOUN
ejpam-5551	83	28	weighted	weight	VERB
ejpam-5551	83	29	problem	problem	NOUN
ejpam-5551	83	30	(	(	PUNCT
ejpam-5551	83	31	2	2	NUM
ejpam-5551	83	32	)	)	PUNCT
ejpam-5551	83	33	and	and	CCONJ
ejpam-5551	83	34	the	the	DET
ejpam-5551	83	35	solution	solution	NOUN
ejpam-5551	83	36	of	of	ADP
ejpam-5551	83	37	the	the	DET
ejpam-5551	83	38	original	original	ADJ
ejpam-5551	83	39	multi	multi	ADJ
ejpam-5551	83	40	-	-	ADJ
ejpam-5551	83	41	objective	objective	ADJ
ejpam-5551	83	42	optimization	optimization	NOUN
ejpam-5551	83	43	problem	problem	NOUN
ejpam-5551	83	44	(	(	PUNCT
ejpam-5551	83	45	1	1	NUM
ejpam-5551	83	46	)	)	PUNCT
ejpam-5551	83	47	.	.	PUNCT
ejpam-5551	84	1	lemma	lemma	PROPN
ejpam-5551	84	2	1	1	NUM
ejpam-5551	84	3	.	.	PUNCT
ejpam-5551	85	1	[	[	X
ejpam-5551	85	2	26	26	NUM
ejpam-5551	85	3	]	]	PUNCT
ejpam-5551	85	4	the	the	DET
ejpam-5551	85	5	optimal	optimal	ADJ
ejpam-5551	85	6	solution	solution	NOUN
ejpam-5551	85	7	of	of	ADP
ejpam-5551	85	8	the	the	DET
ejpam-5551	85	9	linear	linear	NOUN
ejpam-5551	85	10	weighted	weight	VERB
ejpam-5551	85	11	problem	problem	NOUN
ejpam-5551	85	12	(	(	PUNCT
ejpam-5551	85	13	2	2	X
ejpam-5551	85	14	)	)	PUNCT
ejpam-5551	85	15	is	be	AUX
ejpam-5551	85	16	a	a	DET
ejpam-5551	85	17	weak	weak	ADJ
ejpam-5551	85	18	pareto	pareto	ADJ
ejpam-5551	85	19	optimal	optimal	ADJ
ejpam-5551	85	20	solution	solution	NOUN
ejpam-5551	85	21	of	of	ADP
ejpam-5551	85	22	the	the	DET
ejpam-5551	85	23	multi	multi	ADJ
ejpam-5551	85	24	-	-	ADJ
ejpam-5551	85	25	objective	objective	ADJ
ejpam-5551	85	26	constrained	constrain	VERB
ejpam-5551	85	27	optimization	optimization	NOUN
ejpam-5551	85	28	problem	problem	NOUN
ejpam-5551	85	29	(	(	PUNCT
ejpam-5551	85	30	1	1	NUM
ejpam-5551	85	31	)	)	PUNCT
ejpam-5551	85	32	)	)	PUNCT
ejpam-5551	85	33	.	.	PUNCT
ejpam-5551	86	1	we	we	PRON
ejpam-5551	86	2	denote	denote	VERB
ejpam-5551	86	3	the	the	DET
ejpam-5551	86	4	weakly	weakly	ADV
ejpam-5551	86	5	efficient	efficient	ADJ
ejpam-5551	86	6	set	set	NOUN
ejpam-5551	86	7	of	of	ADP
ejpam-5551	86	8	(	(	PUNCT
ejpam-5551	86	9	1	1	NUM
ejpam-5551	86	10	)	)	PUNCT
ejpam-5551	86	11	by	by	ADP
ejpam-5551	86	12	x∗.	x∗.	PROPN
ejpam-5551	87	1	lemma	lemma	PROPN
ejpam-5551	88	1	2	2	NUM
ejpam-5551	88	2	.	.	PUNCT
ejpam-5551	89	1	[	[	X
ejpam-5551	89	2	26	26	NUM
ejpam-5551	89	3	]	]	PUNCT
ejpam-5551	89	4	let	let	VERB
ejpam-5551	89	5	the	the	DET
ejpam-5551	89	6	multi	multi	ADJ
ejpam-5551	89	7	-	-	ADJ
ejpam-5551	89	8	objective	objective	ADJ
ejpam-5551	89	9	constrained	constrain	VERB
ejpam-5551	89	10	optimization	optimization	NOUN
ejpam-5551	89	11	problem	problem	NOUN
ejpam-5551	89	12	(	(	PUNCT
ejpam-5551	89	13	1	1	X
ejpam-5551	89	14	)	)	PUNCT
ejpam-5551	89	15	be	be	AUX
ejpam-5551	89	16	convex	convex	ADJ
ejpam-5551	89	17	,	,	PUNCT
ejpam-5551	89	18	if	if	SCONJ
ejpam-5551	89	19	x∗	x∗	PROPN
ejpam-5551	89	20	is	be	AUX
ejpam-5551	89	21	its	its	PRON
ejpam-5551	89	22	pareto	pareto	ADJ
ejpam-5551	89	23	optimal	optimal	ADJ
ejpam-5551	89	24	solution	solution	NOUN
ejpam-5551	89	25	,	,	PUNCT
ejpam-5551	89	26	then	then	ADV
ejpam-5551	89	27	there	there	PRON
ejpam-5551	89	28	exists	exist	VERB
ejpam-5551	89	29	a	a	DET
ejpam-5551	89	30	weight	weight	NOUN
ejpam-5551	89	31	vector	vector	NOUN
ejpam-5551	89	32	w(wi	w(wi	PROPN
ejpam-5551	89	33	>	>	X
ejpam-5551	89	34	0	0	NUM
ejpam-5551	89	35	,	,	PUNCT
ejpam-5551	89	36	i	i	PRON
ejpam-5551	89	37	=	=	NOUN
ejpam-5551	89	38	1	1	NUM
ejpam-5551	89	39	,	,	PUNCT
ejpam-5551	89	40	.	.	PUNCT
ejpam-5551	89	41	.	.	PUNCT
ejpam-5551	90	1	.	.	PUNCT
ejpam-5551	91	1	,	,	PUNCT
ejpam-5551	91	2	m	m	PROPN
ejpam-5551	91	3	,	,	PUNCT
ejpam-5551	91	4	∑m	∑m	PROPN
ejpam-5551	91	5	i=1	i=1	X
ejpam-5551	92	1	=	=	PUNCT
ejpam-5551	92	2	1	1	NUM
ejpam-5551	92	3	such	such	ADJ
ejpam-5551	92	4	that	that	SCONJ
ejpam-5551	92	5	x∗	x∗	PROPN
ejpam-5551	92	6	is	be	AUX
ejpam-5551	92	7	the	the	DET
ejpam-5551	92	8	optimal	optimal	ADJ
ejpam-5551	92	9	solution	solution	NOUN
ejpam-5551	92	10	of	of	ADP
ejpam-5551	92	11	the	the	DET
ejpam-5551	92	12	weighted	weight	VERB
ejpam-5551	92	13	optimization	optimization	NOUN
ejpam-5551	92	14	problem	problem	NOUN
ejpam-5551	92	15	(	(	PUNCT
ejpam-5551	92	16	2	2	NUM
ejpam-5551	92	17	)	)	PUNCT
ejpam-5551	92	18	.	.	PUNCT
ejpam-5551	93	1	in	in	ADP
ejpam-5551	93	2	the	the	DET
ejpam-5551	93	3	following	following	NOUN
ejpam-5551	93	4	we	we	PRON
ejpam-5551	93	5	transform	transform	VERB
ejpam-5551	93	6	(	(	PUNCT
ejpam-5551	93	7	1	1	NUM
ejpam-5551	93	8	)	)	PUNCT
ejpam-5551	93	9	into	into	ADP
ejpam-5551	93	10	the	the	DET
ejpam-5551	93	11	following	following	ADJ
ejpam-5551	93	12	unconstrained	unconstrained	ADJ
ejpam-5551	93	13	optimization	optimization	NOUN
ejpam-5551	93	14	problem	problem	NOUN
ejpam-5551	93	15	by	by	ADP
ejpam-5551	93	16	introducing	introduce	VERB
ejpam-5551	93	17	a	a	DET
ejpam-5551	93	18	new	new	ADJ
ejpam-5551	93	19	variable	variable	ADJ
ejpam-5551	93	20	λ	λ	PROPN
ejpam-5551	93	21	,	,	PUNCT
ejpam-5551	93	22	combining	combine	VERB
ejpam-5551	93	23	the	the	DET
ejpam-5551	93	24	inequality	inequality	NOUN
ejpam-5551	93	25	constraints	constraint	NOUN
ejpam-5551	93	26	as	as	ADV
ejpam-5551	93	27	well	well	ADV
ejpam-5551	93	28	as	as	ADP
ejpam-5551	93	29	the	the	DET
ejpam-5551	93	30	objective	objective	ADJ
ejpam-5551	93	31	function	function	NOUN
ejpam-5551	93	32	f	f	PROPN
ejpam-5551	93	33	(	(	PUNCT
ejpam-5551	93	34	x	x	X
ejpam-5551	93	35	)	)	PUNCT
ejpam-5551	93	36	using	use	VERB
ejpam-5551	93	37	the	the	DET
ejpam-5551	93	38	lagrange	lagrange	NOUN
ejpam-5551	93	39	multiplier	multipli	ADJ
ejpam-5551	93	40	method	method	NOUN
ejpam-5551	93	41	,	,	PUNCT
ejpam-5551	93	42	i.e.	i.e.	ADV
ejpam-5551	93	43	:	:	PUNCT
ejpam-5551	93	44	l(x	l(x	PROPN
ejpam-5551	93	45	,	,	PUNCT
ejpam-5551	93	46	µ	µ	NOUN
ejpam-5551	93	47	)	)	PUNCT
ejpam-5551	93	48	=	=	SYM
ejpam-5551	93	49	f	f	PROPN
ejpam-5551	93	50	(	(	PUNCT
ejpam-5551	93	51	x	x	X
ejpam-5551	93	52	)	)	PUNCT
ejpam-5551	94	1	+	+	CCONJ
ejpam-5551	94	2	m∑	m∑	PROPN
ejpam-5551	94	3	j=1	j=1	PROPN
ejpam-5551	94	4	λjgj(x	λjgj(x	PROPN
ejpam-5551	94	5	)	)	PUNCT
ejpam-5551	94	6	.	.	PUNCT
ejpam-5551	95	1	(	(	PUNCT
ejpam-5551	95	2	3	3	X
ejpam-5551	95	3	)	)	PUNCT
ejpam-5551	95	4	where	where	SCONJ
ejpam-5551	95	5	,	,	PUNCT
ejpam-5551	95	6	f	f	PROPN
ejpam-5551	95	7	(	(	PUNCT
ejpam-5551	95	8	x	x	X
ejpam-5551	95	9	)	)	PUNCT
ejpam-5551	95	10	=	=	SYM
ejpam-5551	95	11	w1f1(x	w1f1(x	PROPN
ejpam-5551	95	12	)	)	PUNCT
ejpam-5551	95	13	+	+	NUM
ejpam-5551	95	14	w2f2(x	w2f2(x	X
ejpam-5551	95	15	)	)	PUNCT
ejpam-5551	95	16	+	+	NUM
ejpam-5551	95	17	·	·	PUNCT
ejpam-5551	95	18	·	·	PUNCT
ejpam-5551	95	19	·	·	PUNCT
ejpam-5551	95	20	+	+	CCONJ
ejpam-5551	95	21	wnfn(x	wnfn(x	PROPN
ejpam-5551	95	22	)	)	PUNCT
ejpam-5551	95	23	,	,	PUNCT
ejpam-5551	95	24	λ	λ	X
ejpam-5551	95	25	=	=	SYM
ejpam-5551	95	26	(	(	PUNCT
ejpam-5551	95	27	λ1	λ1	ADJ
ejpam-5551	95	28	,	,	PUNCT
ejpam-5551	95	29	λ2	λ2	NOUN
ejpam-5551	95	30	,	,	PUNCT
ejpam-5551	95	31	·	·	PUNCT
ejpam-5551	95	32	·	·	PUNCT
ejpam-5551	95	33	·	·	PUNCT
ejpam-5551	95	34	,	,	PUNCT
ejpam-5551	95	35	λn	λn	NOUN
ejpam-5551	95	36	)	)	PUNCT
ejpam-5551	95	37	t	t	PROPN
ejpam-5551	95	38	is	be	AUX
ejpam-5551	95	39	the	the	DET
ejpam-5551	95	40	lagrange	lagrange	NOUN
ejpam-5551	95	41	multiplier	multiplier	ADV
ejpam-5551	95	42	.	.	PUNCT
ejpam-5551	96	1	lemma	lemma	PROPN
ejpam-5551	96	2	3	3	X
ejpam-5551	96	3	.	.	PUNCT
ejpam-5551	97	1	[	[	X
ejpam-5551	97	2	1]if	1]if	NUM
ejpam-5551	97	3	x∗	x∗	PROPN
ejpam-5551	97	4	is	be	AUX
ejpam-5551	97	5	an	an	DET
ejpam-5551	97	6	optimal	optimal	ADJ
ejpam-5551	97	7	solution	solution	NOUN
ejpam-5551	97	8	of	of	ADP
ejpam-5551	97	9	the	the	DET
ejpam-5551	97	10	problem	problem	NOUN
ejpam-5551	97	11	(	(	PUNCT
ejpam-5551	97	12	3	3	NUM
ejpam-5551	97	13	)	)	PUNCT
ejpam-5551	97	14	and	and	CCONJ
ejpam-5551	97	15	satisfies	satisfy	VERB
ejpam-5551	97	16	the	the	DET
ejpam-5551	97	17	following	follow	VERB
ejpam-5551	97	18	kkt	kkt	PROPN
ejpam-5551	97	19	conditions	condition	NOUN
ejpam-5551	97	20	,	,	PUNCT
ejpam-5551	97	21	then	then	ADV
ejpam-5551	97	22	x∗	x∗	PROPN
ejpam-5551	97	23	is	be	AUX
ejpam-5551	97	24	an	an	DET
ejpam-5551	97	25	optimal	optimal	ADJ
ejpam-5551	97	26	solution	solution	NOUN
ejpam-5551	97	27	of	of	ADP
ejpam-5551	97	28	the	the	DET
ejpam-5551	97	29	problem	problem	NOUN
ejpam-5551	97	30	(	(	PUNCT
ejpam-5551	97	31	2	2	NUM
ejpam-5551	97	32	)	)	PUNCT
ejpam-5551	97	33	.	.	PUNCT
ejpam-5551	98	1	we	we	PRON
ejpam-5551	98	2	denote	denote	VERB
ejpam-5551	98	3	x̂∗	x̂∗	PROPN
ejpam-5551	99	1	nas	nas	VERB
ejpam-5551	99	2	the	the	DET
ejpam-5551	99	3	set	set	NOUN
ejpam-5551	99	4	of	of	ADP
ejpam-5551	99	5	optimal	optimal	ADJ
ejpam-5551	99	6	solutions	solution	NOUN
ejpam-5551	99	7	for	for	ADP
ejpam-5551	99	8	(	(	PUNCT
ejpam-5551	99	9	3	3	NUM
ejpam-5551	99	10	)	)	PUNCT
ejpam-5551	99	11	.	.	PUNCT
ejpam-5551	100	1			PRON
ejpam-5551	100	2	▽	▽	VERB
ejpam-5551	100	3	xl(x	xl(x	PUNCT
ejpam-5551	100	4	∗	∗	NOUN
ejpam-5551	100	5	,	,	PUNCT
ejpam-5551	100	6	λ	λ	NOUN
ejpam-5551	100	7	)	)	PUNCT
ejpam-5551	100	8	=	=	SYM
ejpam-5551	100	9	▽	▽	X
ejpam-5551	100	10	f(x∗	f(x∗	NOUN
ejpam-5551	100	11	)	)	PUNCT
ejpam-5551	101	1	+	+	CCONJ
ejpam-5551	102	1	∑m	∑m	PROPN
ejpam-5551	102	2	j=1	j=1	PROPN
ejpam-5551	102	3	λjgj(x	λjgj(x	PROPN
ejpam-5551	102	4	)	)	PUNCT
ejpam-5551	102	5	,	,	PUNCT
ejpam-5551	102	6	λjgj(x	λjgj(x	NOUN
ejpam-5551	102	7	)	)	PUNCT
ejpam-5551	102	8	∗	∗	NOUN
ejpam-5551	102	9	=	=	SYM
ejpam-5551	102	10	0	0	NUM
ejpam-5551	102	11	,	,	PUNCT
ejpam-5551	102	12	j	j	PROPN
ejpam-5551	102	13	=	=	SYM
ejpam-5551	102	14	1	1	NUM
ejpam-5551	102	15	,	,	PUNCT
ejpam-5551	102	16	2	2	NUM
ejpam-5551	102	17	,	,	PUNCT
ejpam-5551	102	18	·	·	PUNCT
ejpam-5551	102	19	·	·	PUNCT
ejpam-5551	103	1	·	·	PUNCT
ejpam-5551	103	2	,	,	PUNCT
ejpam-5551	103	3	p	p	X
ejpam-5551	103	4	,	,	PUNCT
ejpam-5551	103	5	λj	λj	PROPN
ejpam-5551	103	6	≥	≥	PROPN
ejpam-5551	103	7	0	0	NUM
ejpam-5551	103	8	.	.	PUNCT
ejpam-5551	103	9	2.2	2.2	NUM
ejpam-5551	103	10	.	.	PUNCT
ejpam-5551	104	1	convergence	convergence	NOUN
ejpam-5551	104	2	analysis	analysis	NOUN
ejpam-5551	104	3	of	of	ADP
ejpam-5551	104	4	the	the	DET
ejpam-5551	104	5	proposed	propose	VERB
ejpam-5551	104	6	methods	method	NOUN
ejpam-5551	104	7	in	in	ADP
ejpam-5551	104	8	the	the	DET
ejpam-5551	104	9	following	following	NOUN
ejpam-5551	104	10	theorem	theorem	NOUN
ejpam-5551	104	11	,	,	PUNCT
ejpam-5551	104	12	we	we	PRON
ejpam-5551	104	13	prove	prove	VERB
ejpam-5551	104	14	that	that	SCONJ
ejpam-5551	104	15	under	under	ADP
ejpam-5551	104	16	certain	certain	ADJ
ejpam-5551	104	17	conditions	condition	NOUN
ejpam-5551	104	18	,	,	PUNCT
ejpam-5551	104	19	the	the	DET
ejpam-5551	104	20	optimal	optimal	ADJ
ejpam-5551	104	21	solution	solution	NOUN
ejpam-5551	104	22	of	of	ADP
ejpam-5551	104	23	the	the	DET
ejpam-5551	104	24	linear	linear	NOUN
ejpam-5551	104	25	weighted	weight	VERB
ejpam-5551	104	26	problem	problem	NOUN
ejpam-5551	104	27	(	(	PUNCT
ejpam-5551	104	28	2	2	X
ejpam-5551	104	29	)	)	PUNCT
ejpam-5551	104	30	can	can	AUX
ejpam-5551	104	31	be	be	AUX
ejpam-5551	104	32	approximated	approximate	VERB
ejpam-5551	104	33	by	by	ADP
ejpam-5551	104	34	a	a	DET
ejpam-5551	104	35	convergent	convergent	ADJ
ejpam-5551	104	36	subsequence	subsequence	NOUN
ejpam-5551	104	37	of	of	ADP
ejpam-5551	104	38	the	the	DET
ejpam-5551	104	39	sequence	sequence	NOUN
ejpam-5551	104	40	of	of	ADP
ejpam-5551	104	41	optimal	optimal	ADJ
ejpam-5551	104	42	solutions	solution	NOUN
ejpam-5551	104	43	of	of	ADP
ejpam-5551	104	44	the	the	DET
ejpam-5551	104	45	unconstrained	unconstrained	ADJ
ejpam-5551	104	46	single	single	ADJ
ejpam-5551	104	47	-	-	PUNCT
ejpam-5551	104	48	objective	objective	ADJ
ejpam-5551	104	49	optimization	optimization	NOUN
ejpam-5551	104	50	problem	problem	NOUN
ejpam-5551	104	51	(	(	PUNCT
ejpam-5551	104	52	3	3	NUM
ejpam-5551	104	53	)	)	PUNCT
ejpam-5551	104	54	.	.	PUNCT
ejpam-5551	105	1	theorem	theorem	NOUN
ejpam-5551	105	2	1	1	NUM
ejpam-5551	105	3	.	.	PUNCT
ejpam-5551	106	1	let	let	VERB
ejpam-5551	106	2	x∗n	x∗n	PUNCT
ejpam-5551	106	3	be	be	AUX
ejpam-5551	106	4	an	an	DET
ejpam-5551	106	5	optimal	optimal	ADJ
ejpam-5551	106	6	solution	solution	NOUN
ejpam-5551	106	7	of	of	ADP
ejpam-5551	106	8	(	(	PUNCT
ejpam-5551	106	9	3	3	NUM
ejpam-5551	106	10	)	)	PUNCT
ejpam-5551	106	11	,	,	PUNCT
ejpam-5551	106	12	x∗nk	x∗nk	PROPN
ejpam-5551	106	13	be	be	AUX
ejpam-5551	106	14	a	a	DET
ejpam-5551	106	15	convergent	convergent	NOUN
ejpam-5551	106	16	subsequence	subsequence	NOUN
ejpam-5551	106	17	of	of	ADP
ejpam-5551	106	18	x∗n	x∗n	NUM
ejpam-5551	106	19	,	,	PUNCT
ejpam-5551	106	20	and	and	CCONJ
ejpam-5551	106	21	lim	lim	PROPN
ejpam-5551	106	22	k→∞	k→∞	NOUN
ejpam-5551	106	23	x∗nk	x∗nk	PROPN
ejpam-5551	106	24	=	=	SYM
ejpam-5551	106	25	x∗	x∗	PROPN
ejpam-5551	106	26	∈	∈	PROPN
ejpam-5551	106	27	x∗	x∗	PROPN
ejpam-5551	106	28	,	,	PUNCT
ejpam-5551	106	29	then	then	ADV
ejpam-5551	106	30	the	the	DET
ejpam-5551	106	31	limit	limit	NOUN
ejpam-5551	106	32	point	point	NOUN
ejpam-5551	106	33	of	of	ADP
ejpam-5551	106	34	x∗nk	x∗nk	PROPN
ejpam-5551	106	35	is	be	AUX
ejpam-5551	106	36	an	an	DET
ejpam-5551	106	37	optimal	optimal	ADJ
ejpam-5551	106	38	solution	solution	NOUN
ejpam-5551	106	39	of	of	ADP
ejpam-5551	106	40	the	the	DET
ejpam-5551	106	41	linearly	linearly	ADV
ejpam-5551	106	42	weighted	weight	VERB
ejpam-5551	106	43	problem	problem	NOUN
ejpam-5551	106	44	(	(	PUNCT
ejpam-5551	106	45	2	2	NUM
ejpam-5551	106	46	)	)	PUNCT
ejpam-5551	106	47	.	.	PUNCT
ejpam-5551	107	1	proof	proof	NOUN
ejpam-5551	107	2	.	.	PUNCT
ejpam-5551	108	1	since	since	SCONJ
ejpam-5551	108	2	x∗nk	x∗nk	PROPN
ejpam-5551	108	3	∈	∈	PROPN
ejpam-5551	108	4	x̂∗nk	x̂∗nk	PROPN
ejpam-5551	108	5	then	then	ADV
ejpam-5551	108	6	for	for	ADP
ejpam-5551	108	7	all	all	DET
ejpam-5551	108	8	x	x	SYM
ejpam-5551	108	9	∈	∈	PROPN
ejpam-5551	108	10	x∗	x∗	PROPN
ejpam-5551	108	11	,	,	PUNCT
ejpam-5551	108	12	we	we	PRON
ejpam-5551	108	13	have	have	VERB
ejpam-5551	108	14	m∑	m∑	PRON
ejpam-5551	108	15	i=1	i=1	PROPN
ejpam-5551	108	16	wifi(x	wifi(x	PROPN
ejpam-5551	108	17	∗	∗	PROPN
ejpam-5551	108	18	nk	nk	PROPN
ejpam-5551	108	19	)	)	PUNCT
ejpam-5551	109	1	+	+	CCONJ
ejpam-5551	109	2	p∑	p∑	NOUN
ejpam-5551	110	1	j=1	j=1	NOUN
ejpam-5551	110	2	λjgj(x	λjgj(x	X
ejpam-5551	110	3	∗	∗	PROPN
ejpam-5551	110	4	nk	nk	PROPN
ejpam-5551	110	5	)	)	PUNCT
ejpam-5551	110	6	≤	≤	PROPN
ejpam-5551	110	7	m∑	m∑	CCONJ
ejpam-5551	110	8	i=1	i=1	PROPN
ejpam-5551	110	9	fi(x	fi(x	NUM
ejpam-5551	110	10	)	)	PUNCT
ejpam-5551	111	1	+	+	CCONJ
ejpam-5551	111	2	p∑	p∑	X
ejpam-5551	111	3	j=1	j=1	PROPN
ejpam-5551	111	4	λjgj(x	λjgj(x	PROPN
ejpam-5551	111	5	)	)	PUNCT
ejpam-5551	111	6	,	,	PUNCT
ejpam-5551	111	7	k	k	X
ejpam-5551	111	8	=	=	SYM
ejpam-5551	111	9	1	1	NUM
ejpam-5551	111	10	,	,	PUNCT
ejpam-5551	111	11	2	2	NUM
ejpam-5551	111	12	,	,	PUNCT
ejpam-5551	111	13	·	·	PUNCT
ejpam-5551	111	14	·	·	PUNCT
ejpam-5551	111	15	·	·	PUNCT
ejpam-5551	111	16	.	.	PUNCT
ejpam-5551	112	1	(	(	PUNCT
ejpam-5551	112	2	4	4	X
ejpam-5551	112	3	)	)	PUNCT
ejpam-5551	112	4	we	we	PRON
ejpam-5551	112	5	discuss	discuss	VERB
ejpam-5551	112	6	this	this	PRON
ejpam-5551	112	7	in	in	ADP
ejpam-5551	112	8	the	the	DET
ejpam-5551	112	9	following	follow	VERB
ejpam-5551	112	10	two	two	NUM
ejpam-5551	112	11	scenarios	scenario	NOUN
ejpam-5551	112	12	.	.	PUNCT
ejpam-5551	113	1	p.	p.	NOUN
ejpam-5551	113	2	cheng	cheng	PROPN
ejpam-5551	113	3	et	et	PROPN
ejpam-5551	113	4	al	al	PROPN
ejpam-5551	113	5	.	.	PUNCT
ejpam-5551	113	6	/	/	SYM
ejpam-5551	113	7	eur	eur	PROPN
ejpam-5551	113	8	.	.	PUNCT
ejpam-5551	114	1	j.	j.	PROPN
ejpam-5551	114	2	pure	pure	PROPN
ejpam-5551	114	3	appl	appl	PROPN
ejpam-5551	114	4	.	.	PROPN
ejpam-5551	114	5	math	math	PROPN
ejpam-5551	114	6	,	,	PUNCT
ejpam-5551	114	7	18	18	NUM
ejpam-5551	114	8	(	(	PUNCT
ejpam-5551	114	9	1	1	NUM
ejpam-5551	114	10	)	)	PUNCT
ejpam-5551	114	11	(	(	PUNCT
ejpam-5551	114	12	2025	2025	NUM
ejpam-5551	114	13	)	)	PUNCT
ejpam-5551	114	14	,	,	PUNCT
ejpam-5551	114	15	5551	5551	NUM
ejpam-5551	114	16	6	6	NUM
ejpam-5551	114	17	of	of	ADP
ejpam-5551	114	18	22	22	NUM
ejpam-5551	114	19	(	(	PUNCT
ejpam-5551	114	20	i	i	NOUN
ejpam-5551	114	21	)	)	PUNCT
ejpam-5551	114	22	if	if	SCONJ
ejpam-5551	114	23	gj(x	gj(x	PUNCT
ejpam-5551	114	24	)	)	PUNCT
ejpam-5551	114	25	=	=	SYM
ejpam-5551	115	1	0	0	NUM
ejpam-5551	115	2	,	,	PUNCT
ejpam-5551	115	3	it	it	PRON
ejpam-5551	115	4	is	be	AUX
ejpam-5551	115	5	clear	clear	ADJ
ejpam-5551	115	6	that	that	SCONJ
ejpam-5551	115	7	there	there	PRON
ejpam-5551	115	8	are	be	VERB
ejpam-5551	115	9	lim	lim	PROPN
ejpam-5551	115	10	k→∞	k→∞	NOUN
ejpam-5551	115	11	p∑	p∑	PROPN
ejpam-5551	116	1	j=1	j=1	PROPN
ejpam-5551	116	2	λjgj(x	λjgj(x	X
ejpam-5551	116	3	∗	∗	X
ejpam-5551	116	4	nk	nk	PROPN
ejpam-5551	116	5	)	)	PUNCT
ejpam-5551	117	1	=	=	PUNCT
ejpam-5551	117	2	0	0	NUM
ejpam-5551	117	3	,	,	PUNCT
ejpam-5551	117	4	(	(	PUNCT
ejpam-5551	117	5	5	5	X
ejpam-5551	117	6	)	)	PUNCT
ejpam-5551	117	7	lim	lim	NOUN
ejpam-5551	117	8	k→∞	k→∞	NOUN
ejpam-5551	117	9	p∑	p∑	PROPN
ejpam-5551	118	1	j=1	j=1	PROPN
ejpam-5551	118	2	λjgj(x	λjgj(x	PROPN
ejpam-5551	118	3	)	)	PUNCT
ejpam-5551	118	4	=	=	SYM
ejpam-5551	118	5	0	0	NUM
ejpam-5551	118	6	,	,	PUNCT
ejpam-5551	118	7	(	(	PUNCT
ejpam-5551	118	8	6	6	X
ejpam-5551	118	9	)	)	PUNCT
ejpam-5551	118	10	taking	take	VERB
ejpam-5551	118	11	the	the	DET
ejpam-5551	118	12	limit	limit	NOUN
ejpam-5551	118	13	of	of	ADP
ejpam-5551	118	14	equation	equation	NOUN
ejpam-5551	118	15	(	(	PUNCT
ejpam-5551	118	16	4	4	NUM
ejpam-5551	118	17	)	)	PUNCT
ejpam-5551	118	18	and	and	CCONJ
ejpam-5551	118	19	combining	combine	VERB
ejpam-5551	118	20	the	the	DET
ejpam-5551	118	21	equations	equation	NOUN
ejpam-5551	118	22	(	(	PUNCT
ejpam-5551	118	23	5	5	NUM
ejpam-5551	118	24	)	)	PUNCT
ejpam-5551	118	25	and	and	CCONJ
ejpam-5551	118	26	(	(	PUNCT
ejpam-5551	118	27	6	6	X
ejpam-5551	118	28	)	)	PUNCT
ejpam-5551	118	29	lim	lim	PROPN
ejpam-5551	118	30	k→∞	k→∞	PROPN
ejpam-5551	119	1	m∑	m∑	CCONJ
ejpam-5551	119	2	i=1	i=1	PROPN
ejpam-5551	119	3	wifi(x	wifi(x	PROPN
ejpam-5551	119	4	∗	∗	PROPN
ejpam-5551	119	5	nk	nk	PROPN
ejpam-5551	119	6	)	)	PUNCT
ejpam-5551	119	7	≤	≤	PROPN
ejpam-5551	119	8	lim	lim	PROPN
ejpam-5551	119	9	k→∞	k→∞	PROPN
ejpam-5551	119	10	m∑	m∑	CCONJ
ejpam-5551	119	11	i=1	i=1	PROPN
ejpam-5551	119	12	wifi(x	wifi(x	PROPN
ejpam-5551	119	13	)	)	PUNCT
ejpam-5551	119	14	,	,	PUNCT
ejpam-5551	119	15	i.e.	i.e.	X
ejpam-5551	119	16	m∑	m∑	CCONJ
ejpam-5551	119	17	i=1	i=1	PROPN
ejpam-5551	119	18	wifi(x	wifi(x	PROPN
ejpam-5551	119	19	∗	∗	NOUN
ejpam-5551	119	20	)	)	PUNCT
ejpam-5551	119	21	≤	≤	NUM
ejpam-5551	119	22	m∑	m∑	CCONJ
ejpam-5551	119	23	i=1	i=1	PROPN
ejpam-5551	119	24	wifi(x	wifi(x	PROPN
ejpam-5551	119	25	)	)	PUNCT
ejpam-5551	119	26	,	,	PUNCT
ejpam-5551	119	27	for	for	ADP
ejpam-5551	119	28	all	all	DET
ejpam-5551	119	29	x	x	SYM
ejpam-5551	119	30	∈	∈	PROPN
ejpam-5551	119	31	x∗.	x∗.	PUNCT
ejpam-5551	120	1	so	so	ADV
ejpam-5551	120	2	x∗	x∗	PROPN
ejpam-5551	120	3	is	be	AUX
ejpam-5551	120	4	the	the	DET
ejpam-5551	120	5	optimal	optimal	ADJ
ejpam-5551	120	6	solution	solution	NOUN
ejpam-5551	120	7	of	of	ADP
ejpam-5551	120	8	(	(	PUNCT
ejpam-5551	120	9	2	2	NUM
ejpam-5551	120	10	)	)	PUNCT
ejpam-5551	120	11	.	.	PUNCT
ejpam-5551	121	1	(	(	PUNCT
ejpam-5551	121	2	ii	ii	NOUN
ejpam-5551	121	3	)	)	PUNCT
ejpam-5551	121	4	if	if	SCONJ
ejpam-5551	121	5	gj(x	gj(x	PUNCT
ejpam-5551	121	6	)	)	PUNCT
ejpam-5551	121	7	<	<	X
ejpam-5551	121	8	0	0	NUM
ejpam-5551	121	9	,	,	PUNCT
ejpam-5551	121	10	then	then	ADV
ejpam-5551	121	11	there	there	PRON
ejpam-5551	121	12	are	be	VERB
ejpam-5551	121	13	lim	lim	PROPN
ejpam-5551	121	14	k→∞	k→∞	NOUN
ejpam-5551	121	15	p∑	p∑	PROPN
ejpam-5551	122	1	j=1	j=1	PROPN
ejpam-5551	122	2	λjgj(x	λjgj(x	PROPN
ejpam-5551	122	3	)	)	PUNCT
ejpam-5551	122	4	≤	≤	NOUN
ejpam-5551	122	5	0	0	NUM
ejpam-5551	122	6	,	,	PUNCT
ejpam-5551	122	7	(	(	PUNCT
ejpam-5551	122	8	7	7	X
ejpam-5551	122	9	)	)	PUNCT
ejpam-5551	122	10	since	since	SCONJ
ejpam-5551	122	11	x∗n	x∗n	NUM
ejpam-5551	122	12	is	be	AUX
ejpam-5551	122	13	an	an	DET
ejpam-5551	122	14	optimal	optimal	ADJ
ejpam-5551	122	15	solution	solution	NOUN
ejpam-5551	122	16	of	of	ADP
ejpam-5551	122	17	(	(	PUNCT
ejpam-5551	122	18	3	3	NUM
ejpam-5551	122	19	)	)	PUNCT
ejpam-5551	122	20	,	,	PUNCT
ejpam-5551	122	21	and	and	CCONJ
ejpam-5551	122	22	x∗nk	x∗nk	PROPN
ejpam-5551	122	23	is	be	AUX
ejpam-5551	122	24	a	a	DET
ejpam-5551	122	25	convergent	convergent	NOUN
ejpam-5551	122	26	subsequence	subsequence	NOUN
ejpam-5551	122	27	of	of	ADP
ejpam-5551	122	28	x∗n	x∗n	NUM
ejpam-5551	122	29	,	,	PUNCT
ejpam-5551	122	30	there	there	PRON
ejpam-5551	122	31	are	be	VERB
ejpam-5551	122	32	lim	lim	PROPN
ejpam-5551	122	33	k→∞	k→∞	NOUN
ejpam-5551	123	1	p∑	p∑	PROPN
ejpam-5551	124	1	j=1	j=1	PROPN
ejpam-5551	124	2	λjgj(x	λjgj(x	X
ejpam-5551	124	3	∗	∗	X
ejpam-5551	124	4	nk	nk	PROPN
ejpam-5551	124	5	)	)	PUNCT
ejpam-5551	125	1	=	=	PUNCT
ejpam-5551	125	2	0	0	NUM
ejpam-5551	125	3	,	,	PUNCT
ejpam-5551	125	4	(	(	PUNCT
ejpam-5551	125	5	8)	8)	NUM
ejpam-5551	125	6	taking	take	VERB
ejpam-5551	125	7	the	the	DET
ejpam-5551	125	8	limit	limit	NOUN
ejpam-5551	125	9	of	of	ADP
ejpam-5551	125	10	expression	expression	NOUN
ejpam-5551	125	11	(	(	PUNCT
ejpam-5551	125	12	3	3	NUM
ejpam-5551	125	13	)	)	PUNCT
ejpam-5551	125	14	and	and	CCONJ
ejpam-5551	125	15	combining	combine	VERB
ejpam-5551	125	16	equations	equation	NOUN
ejpam-5551	125	17	(	(	PUNCT
ejpam-5551	125	18	7	7	NUM
ejpam-5551	125	19	)	)	PUNCT
ejpam-5551	125	20	and	and	CCONJ
ejpam-5551	125	21	(	(	PUNCT
ejpam-5551	125	22	8)	8)	NUM
ejpam-5551	125	23	yields	yield	NOUN
ejpam-5551	125	24	lim	lim	PROPN
ejpam-5551	125	25	k→∞	k→∞	PROPN
ejpam-5551	125	26	m∑	m∑	CCONJ
ejpam-5551	125	27	i=1	i=1	PROPN
ejpam-5551	126	1	wifi(x	wifi(x	PROPN
ejpam-5551	126	2	∗	∗	PROPN
ejpam-5551	126	3	nk	nk	PROPN
ejpam-5551	126	4	)	)	PUNCT
ejpam-5551	126	5	≤	≤	PROPN
ejpam-5551	126	6	lim	lim	PROPN
ejpam-5551	126	7	k→∞	k→∞	PROPN
ejpam-5551	126	8	m∑	m∑	CCONJ
ejpam-5551	126	9	i=1	i=1	PROPN
ejpam-5551	126	10	wifi(x	wifi(x	PROPN
ejpam-5551	126	11	)	)	PUNCT
ejpam-5551	127	1	+	+	CCONJ
ejpam-5551	127	2	lim	lim	PROPN
ejpam-5551	127	3	k→∞	k→∞	NOUN
ejpam-5551	127	4	p∑	p∑	PROPN
ejpam-5551	128	1	j=1	j=1	PROPN
ejpam-5551	128	2	λjgj(x	λjgj(x	PROPN
ejpam-5551	128	3	)	)	PUNCT
ejpam-5551	128	4	,	,	PUNCT
ejpam-5551	128	5	i.e.	i.e.	X
ejpam-5551	128	6	m∑	m∑	CCONJ
ejpam-5551	128	7	i=1	i=1	PROPN
ejpam-5551	128	8	wifi(x	wifi(x	PROPN
ejpam-5551	128	9	∗	∗	NOUN
ejpam-5551	128	10	)	)	PUNCT
ejpam-5551	128	11	≤	≤	NUM
ejpam-5551	128	12	m∑	m∑	CCONJ
ejpam-5551	128	13	i=1	i=1	PROPN
ejpam-5551	128	14	wifi(x	wifi(x	PROPN
ejpam-5551	128	15	)	)	PUNCT
ejpam-5551	128	16	,	,	PUNCT
ejpam-5551	128	17	so	so	CCONJ
ejpam-5551	128	18	the	the	DET
ejpam-5551	128	19	theorem	theorem	NOUN
ejpam-5551	128	20	is	be	AUX
ejpam-5551	128	21	proved	prove	VERB
ejpam-5551	128	22	.	.	PUNCT
ejpam-5551	129	1	from	from	ADP
ejpam-5551	129	2	theorem	theorem	ADJ
ejpam-5551	129	3	1	1	NUM
ejpam-5551	129	4	,	,	PUNCT
ejpam-5551	129	5	lemma	lemma	PROPN
ejpam-5551	129	6	1	1	NUM
ejpam-5551	129	7	,	,	PUNCT
ejpam-5551	129	8	and	and	CCONJ
ejpam-5551	129	9	lemma	lemma	PROPN
ejpam-5551	129	10	2	2	NUM
ejpam-5551	129	11	,	,	PUNCT
ejpam-5551	129	12	it	it	PRON
ejpam-5551	129	13	can	can	AUX
ejpam-5551	129	14	be	be	AUX
ejpam-5551	129	15	obtained	obtain	VERB
ejpam-5551	129	16	that	that	SCONJ
ejpam-5551	129	17	the	the	DET
ejpam-5551	129	18	convergent	convergent	NOUN
ejpam-5551	129	19	subsequence	subsequence	NOUN
ejpam-5551	129	20	of	of	ADP
ejpam-5551	129	21	the	the	DET
ejpam-5551	129	22	sequence	sequence	NOUN
ejpam-5551	129	23	of	of	ADP
ejpam-5551	129	24	optimal	optimal	ADJ
ejpam-5551	129	25	solutions	solution	NOUN
ejpam-5551	129	26	of	of	ADP
ejpam-5551	129	27	the	the	DET
ejpam-5551	129	28	unconstrained	unconstrained	ADJ
ejpam-5551	129	29	single	single	ADJ
ejpam-5551	129	30	-	-	PUNCT
ejpam-5551	129	31	objective	objective	ADJ
ejpam-5551	129	32	nonlinear	nonlinear	ADJ
ejpam-5551	129	33	programming	programming	NOUN
ejpam-5551	129	34	problem	problem	NOUN
ejpam-5551	129	35	(	(	PUNCT
ejpam-5551	129	36	3	3	X
ejpam-5551	129	37	)	)	PUNCT
ejpam-5551	129	38	can	can	AUX
ejpam-5551	129	39	approximate	approximate	VERB
ejpam-5551	129	40	the	the	DET
ejpam-5551	129	41	weak	weak	ADJ
ejpam-5551	129	42	pareto	pareto	ADJ
ejpam-5551	129	43	optimal	optimal	ADJ
ejpam-5551	129	44	solution	solution	NOUN
ejpam-5551	129	45	of	of	ADP
ejpam-5551	129	46	the	the	DET
ejpam-5551	129	47	original	original	ADJ
ejpam-5551	129	48	multi	multi	ADJ
ejpam-5551	129	49	-	-	ADJ
ejpam-5551	129	50	objective	objective	ADJ
ejpam-5551	129	51	constrained	constrain	VERB
ejpam-5551	129	52	optimization	optimization	NOUN
ejpam-5551	129	53	problem	problem	NOUN
ejpam-5551	129	54	.	.	PUNCT
ejpam-5551	130	1	p.	p.	NOUN
ejpam-5551	130	2	cheng	cheng	PROPN
ejpam-5551	130	3	et	et	PROPN
ejpam-5551	131	1	al	al	PROPN
ejpam-5551	131	2	.	.	PUNCT
ejpam-5551	131	3	/	/	SYM
ejpam-5551	131	4	eur	eur	PROPN
ejpam-5551	131	5	.	.	PUNCT
ejpam-5551	132	1	j.	j.	PROPN
ejpam-5551	132	2	pure	pure	PROPN
ejpam-5551	132	3	appl	appl	PROPN
ejpam-5551	132	4	.	.	PROPN
ejpam-5551	132	5	math	math	PROPN
ejpam-5551	132	6	,	,	PUNCT
ejpam-5551	132	7	18	18	NUM
ejpam-5551	132	8	(	(	PUNCT
ejpam-5551	132	9	1	1	NUM
ejpam-5551	132	10	)	)	PUNCT
ejpam-5551	132	11	(	(	PUNCT
ejpam-5551	132	12	2025	2025	NUM
ejpam-5551	132	13	)	)	PUNCT
ejpam-5551	132	14	,	,	PUNCT
ejpam-5551	132	15	5551	5551	NUM
ejpam-5551	132	16	7	7	NUM
ejpam-5551	132	17	of	of	ADP
ejpam-5551	132	18	22	22	NUM
ejpam-5551	132	19	3	3	NUM
ejpam-5551	132	20	.	.	NOUN
ejpam-5551	132	21	newton-2eggs	newton-2eggs	NUM
ejpam-5551	132	22	and	and	CCONJ
ejpam-5551	132	23	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	132	24	for	for	ADP
ejpam-5551	132	25	the	the	DET
ejpam-5551	132	26	transformed	transform	VERB
ejpam-5551	132	27	problem	problem	NOUN
ejpam-5551	132	28	(	(	PUNCT
ejpam-5551	132	29	3	3	NUM
ejpam-5551	132	30	)	)	PUNCT
ejpam-5551	132	31	,	,	PUNCT
ejpam-5551	132	32	which	which	PRON
ejpam-5551	132	33	is	be	AUX
ejpam-5551	132	34	mainly	mainly	ADV
ejpam-5551	132	35	a	a	DET
ejpam-5551	132	36	problem	problem	NOUN
ejpam-5551	132	37	of	of	ADP
ejpam-5551	132	38	unconstrained	unconstrained	ADJ
ejpam-5551	132	39	optimization	optimization	NOUN
ejpam-5551	132	40	,	,	PUNCT
ejpam-5551	132	41	combined	combine	VERB
ejpam-5551	132	42	with	with	ADP
ejpam-5551	132	43	the	the	DET
ejpam-5551	132	44	advantages	advantage	NOUN
ejpam-5551	132	45	of	of	ADP
ejpam-5551	132	46	newton	newton	PROPN
ejpam-5551	132	47	’s	’s	PART
ejpam-5551	132	48	method	method	NOUN
ejpam-5551	132	49	of	of	ADP
ejpam-5551	132	50	solving	solve	VERB
ejpam-5551	132	51	the	the	DET
ejpam-5551	132	52	problem	problem	NOUN
ejpam-5551	132	53	they	they	PRON
ejpam-5551	132	54	will	will	AUX
ejpam-5551	132	55	be	be	AUX
ejpam-5551	132	56	used	use	VERB
ejpam-5551	132	57	in	in	ADP
ejpam-5551	132	58	the	the	DET
ejpam-5551	132	59	next	next	ADJ
ejpam-5551	132	60	solution	solution	NOUN
ejpam-5551	132	61	,	,	PUNCT
ejpam-5551	132	62	the	the	DET
ejpam-5551	132	63	iterative	iterative	NOUN
ejpam-5551	132	64	formula	formula	NOUN
ejpam-5551	132	65	of	of	ADP
ejpam-5551	132	66	newton	newton	PROPN
ejpam-5551	132	67	’s	’s	PART
ejpam-5551	132	68	method	method	NOUN
ejpam-5551	132	69	can	can	AUX
ejpam-5551	132	70	be	be	AUX
ejpam-5551	132	71	expressed	express	VERB
ejpam-5551	132	72	as	as	SCONJ
ejpam-5551	132	73	follows	follow	VERB
ejpam-5551	132	74	[	[	X
ejpam-5551	132	75	4	4	NUM
ejpam-5551	132	76	,	,	PUNCT
ejpam-5551	132	77	5	5	NUM
ejpam-5551	132	78	,	,	PUNCT
ejpam-5551	132	79	13	13	NUM
ejpam-5551	132	80	]	]	NUM
ejpam-5551	132	81	:	:	PUNCT
ejpam-5551	132	82	x(k+1	x(k+1	NUM
ejpam-5551	132	83	)	)	PUNCT
ejpam-5551	132	84	=	=	SYM
ejpam-5551	133	1	x(k	x(k	PROPN
ejpam-5551	133	2	)	)	PUNCT
ejpam-5551	133	3	−	−	PROPN
ejpam-5551	133	4	αkd	αkd	NOUN
ejpam-5551	133	5	(	(	PUNCT
ejpam-5551	133	6	k	k	NOUN
ejpam-5551	133	7	)	)	PUNCT
ejpam-5551	133	8	,	,	PUNCT
ejpam-5551	133	9	d(k	d(k	PROPN
ejpam-5551	133	10	)	)	PUNCT
ejpam-5551	133	11	=	=	PUNCT
ejpam-5551	134	1	g−1	g−1	PROPN
ejpam-5551	134	2	k	k	PROPN
ejpam-5551	134	3	gk	gk	PROPN
ejpam-5551	134	4	,	,	PUNCT
ejpam-5551	134	5	(	(	PUNCT
ejpam-5551	134	6	9	9	NUM
ejpam-5551	134	7	)	)	PUNCT
ejpam-5551	134	8	where	where	SCONJ
ejpam-5551	134	9	,	,	PUNCT
ejpam-5551	134	10	d(k	d(k	PROPN
ejpam-5551	134	11	)	)	PUNCT
ejpam-5551	134	12	is	be	AUX
ejpam-5551	134	13	the	the	DET
ejpam-5551	134	14	search	search	NOUN
ejpam-5551	134	15	direction	direction	NOUN
ejpam-5551	134	16	,	,	PUNCT
ejpam-5551	134	17	the	the	DET
ejpam-5551	134	18	step	step	NOUN
ejpam-5551	134	19	factor	factor	NOUN
ejpam-5551	134	20	αk	αk	NOUN
ejpam-5551	134	21	=	=	SYM
ejpam-5551	134	22	1	1	NUM
ejpam-5551	134	23	,	,	PUNCT
ejpam-5551	134	24	gk	gk	NOUN
ejpam-5551	134	25	=	=	NOUN
ejpam-5551	134	26	▽	▽	ADJ
ejpam-5551	134	27	2l(x(k	2l(x(k	NUM
ejpam-5551	134	28	)	)	PUNCT
ejpam-5551	134	29	)	)	PUNCT
ejpam-5551	134	30	,	,	PUNCT
ejpam-5551	134	31	gk	gk	NOUN
ejpam-5551	134	32	=	=	PUNCT
ejpam-5551	134	33	▽	▽	ADJ
ejpam-5551	134	34	l(x(k	l(x(k	PROPN
ejpam-5551	134	35	)	)	PUNCT
ejpam-5551	134	36	)	)	PUNCT
ejpam-5551	134	37	,	,	PUNCT
ejpam-5551	134	38	and	and	CCONJ
ejpam-5551	134	39	g−1	g−1	PROPN
ejpam-5551	134	40	k	k	PROPN
ejpam-5551	134	41	is	be	AUX
ejpam-5551	134	42	the	the	DET
ejpam-5551	134	43	inverse	inverse	ADJ
ejpam-5551	134	44	matrix	matrix	NOUN
ejpam-5551	134	45	of	of	ADP
ejpam-5551	134	46	the	the	DET
ejpam-5551	134	47	hessian	hessian	ADJ
ejpam-5551	134	48	matrix	matrix	NOUN
ejpam-5551	134	49	gk	gk	NOUN
ejpam-5551	134	50	=	=	NOUN
ejpam-5551	134	51	▽	▽	ADJ
ejpam-5551	134	52	2l(x(k	2l(x(k	NUM
ejpam-5551	134	53	)	)	PUNCT
ejpam-5551	134	54	)	)	PUNCT
ejpam-5551	134	55	.	.	PUNCT
ejpam-5551	135	1	also	also	ADV
ejpam-5551	135	2	,	,	PUNCT
ejpam-5551	135	3	we	we	PRON
ejpam-5551	135	4	know	know	VERB
ejpam-5551	135	5	that	that	SCONJ
ejpam-5551	135	6	when	when	SCONJ
ejpam-5551	135	7	gk	gk	PROPN
ejpam-5551	135	8	is	be	AUX
ejpam-5551	135	9	positive	positive	ADJ
ejpam-5551	135	10	definite	definite	ADJ
ejpam-5551	135	11	,	,	PUNCT
ejpam-5551	135	12	its	its	PRON
ejpam-5551	135	13	inverse	inverse	NOUN
ejpam-5551	135	14	matrix	matrix	NOUN
ejpam-5551	135	15	must	must	AUX
ejpam-5551	135	16	exist	exist	VERB
ejpam-5551	135	17	and	and	CCONJ
ejpam-5551	135	18	be	be	AUX
ejpam-5551	135	19	positive	positive	ADJ
ejpam-5551	135	20	definite	definite	ADJ
ejpam-5551	135	21	,	,	PUNCT
ejpam-5551	135	22	so	so	CCONJ
ejpam-5551	135	23	the	the	DET
ejpam-5551	135	24	newtonian	newtonian	ADJ
ejpam-5551	135	25	direction	direction	NOUN
ejpam-5551	135	26	will	will	AUX
ejpam-5551	135	27	be	be	AUX
ejpam-5551	135	28	a	a	DET
ejpam-5551	135	29	descent	descent	NOUN
ejpam-5551	135	30	direction	direction	NOUN
ejpam-5551	135	31	since	since	SCONJ
ejpam-5551	135	32	it	it	PRON
ejpam-5551	135	33	satisfies	satisfy	VERB
ejpam-5551	135	34	,	,	PUNCT
ejpam-5551	135	35	gtk	gtk	NOUN
ejpam-5551	135	36	d	d	PROPN
ejpam-5551	135	37	(	(	PUNCT
ejpam-5551	135	38	k	k	NOUN
ejpam-5551	135	39	)	)	PUNCT
ejpam-5551	135	40	=	=	SYM
ejpam-5551	135	41	−gtk	−gtk	NOUN
ejpam-5551	135	42	g	g	NOUN
ejpam-5551	135	43	−1	−1	NOUN
ejpam-5551	135	44	k	k	PROPN
ejpam-5551	135	45	gk	gk	PROPN
ejpam-5551	135	46	<	<	X
ejpam-5551	135	47	0	0	NUM
ejpam-5551	135	48	.	.	PUNCT
ejpam-5551	136	1	the	the	DET
ejpam-5551	136	2	hessian	hessian	ADJ
ejpam-5551	136	3	matrix	matrix	NOUN
ejpam-5551	136	4	gk	gk	PROPN
ejpam-5551	136	5	is	be	AUX
ejpam-5551	136	6	solved	solve	VERB
ejpam-5551	136	7	[	[	X
ejpam-5551	136	8	14	14	NUM
ejpam-5551	136	9	]	]	PUNCT
ejpam-5551	136	10	as	as	SCONJ
ejpam-5551	136	11	follows	follow	VERB
ejpam-5551	136	12	:	:	PUNCT
ejpam-5551	136	13	gk	gk	NOUN
ejpam-5551	136	14	=	=	PUNCT
ejpam-5551	136	15			NOUN
ejpam-5551	136	16	∂2l/∂x21	∂2l/∂x21	PROPN
ejpam-5551	136	17	∂2l/(∂x1∂x2	∂2l/(∂x1∂x2	NOUN
ejpam-5551	136	18	)	)	PUNCT
ejpam-5551	136	19	·	·	PUNCT
ejpam-5551	136	20	·	·	PUNCT
ejpam-5551	137	1	·	·	PUNCT
ejpam-5551	137	2	∂2l/(∂x1∂xn	∂2l/(∂x1∂xn	PROPN
ejpam-5551	137	3	)	)	PUNCT
ejpam-5551	137	4	·	·	PUNCT
ejpam-5551	137	5	·	·	PUNCT
ejpam-5551	137	6	·	·	PUNCT
ejpam-5551	137	7	∂2l/(∂x1∂λp	∂2l/(∂x1∂λp	PROPN
ejpam-5551	137	8	)	)	PUNCT
ejpam-5551	137	9	∂2l/(∂x2∂x1	∂2l/(∂x2∂x1	NOUN
ejpam-5551	137	10	)	)	PUNCT
ejpam-5551	138	1	∂2l/∂x22	∂2l/∂x22	PRON
ejpam-5551	138	2	·	·	PUNCT
ejpam-5551	138	3	·	·	PUNCT
ejpam-5551	138	4	·	·	PUNCT
ejpam-5551	138	5	∂2l/(∂x2∂xn	∂2l/(∂x2∂xn	PROPN
ejpam-5551	138	6	)	)	PUNCT
ejpam-5551	138	7	·	·	PUNCT
ejpam-5551	138	8	·	·	PUNCT
ejpam-5551	138	9	·	·	PUNCT
ejpam-5551	139	1	∂2l/(∂x2∂λp	∂2l/(∂x2∂λp	PROPN
ejpam-5551	139	2	)	)	PUNCT
ejpam-5551	139	3	...	...	PUNCT
ejpam-5551	139	4	...	...	PUNCT
ejpam-5551	139	5	.	.	PUNCT
ejpam-5551	139	6	.	.	PUNCT
ejpam-5551	139	7	.	.	PUNCT
ejpam-5551	139	8	...	...	PUNCT
ejpam-5551	139	9	.	.	PUNCT
ejpam-5551	139	10	.	.	PUNCT
ejpam-5551	139	11	.	.	PUNCT
ejpam-5551	140	1	...	...	PUNCT
ejpam-5551	141	1	∂2l/(∂xn∂x1	∂2l/(∂xn∂x1	X
ejpam-5551	141	2	)	)	PUNCT
ejpam-5551	141	3	∂2l/(∂xn∂x2	∂2l/(∂xn∂x2	NOUN
ejpam-5551	141	4	)	)	PUNCT
ejpam-5551	141	5	·	·	PUNCT
ejpam-5551	141	6	·	·	PUNCT
ejpam-5551	141	7	·	·	PUNCT
ejpam-5551	142	1	∂2l/∂x2n	∂2l/∂x2n	X
ejpam-5551	142	2	·	·	PUNCT
ejpam-5551	142	3	·	·	PUNCT
ejpam-5551	142	4	·	·	PUNCT
ejpam-5551	143	1	∂2l/(∂xn∂λp	∂2l/(∂xn∂λp	PUNCT
ejpam-5551	143	2	)	)	PUNCT
ejpam-5551	143	3	...	...	PUNCT
ejpam-5551	143	4	...	...	PUNCT
ejpam-5551	143	5	.	.	PUNCT
ejpam-5551	143	6	.	.	PUNCT
ejpam-5551	143	7	.	.	PUNCT
ejpam-5551	143	8	...	...	PUNCT
ejpam-5551	143	9	.	.	PUNCT
ejpam-5551	143	10	.	.	PUNCT
ejpam-5551	143	11	.	.	PUNCT
ejpam-5551	144	1	...	...	PUNCT
ejpam-5551	145	1	∂2l/(∂λp∂x1	∂2l/(∂λp∂x1	NOUN
ejpam-5551	145	2	)	)	PUNCT
ejpam-5551	145	3	∂2l/(∂λp∂x2	∂2l/(∂λp∂x2	NOUN
ejpam-5551	145	4	)	)	PUNCT
ejpam-5551	145	5	·	·	PUNCT
ejpam-5551	145	6	·	·	PUNCT
ejpam-5551	145	7	·	·	PUNCT
ejpam-5551	146	1	∂2l/(∂λp∂xn	∂2l/(∂λp∂xn	X
ejpam-5551	146	2	)	)	PUNCT
ejpam-5551	146	3	·	·	PUNCT
ejpam-5551	146	4	·	·	PUNCT
ejpam-5551	146	5	·	·	PUNCT
ejpam-5551	146	6	∂2l/∂λ2	∂2l/∂λ2	PROPN
ejpam-5551	146	7	p	p	X
ejpam-5551	146	8			NUM
ejpam-5551	146	9	,	,	PUNCT
ejpam-5551	146	10	the	the	DET
ejpam-5551	146	11	newton	newton	PROPN
ejpam-5551	146	12	equation	equation	NOUN
ejpam-5551	146	13	(	(	PUNCT
ejpam-5551	146	14	9	9	X
ejpam-5551	146	15	)	)	PUNCT
ejpam-5551	146	16	mentioned	mention	VERB
ejpam-5551	146	17	above	above	ADV
ejpam-5551	146	18	,	,	PUNCT
ejpam-5551	146	19	we	we	PRON
ejpam-5551	146	20	can	can	AUX
ejpam-5551	146	21	convert	convert	VERB
ejpam-5551	146	22	it	it	PRON
ejpam-5551	146	23	into	into	ADP
ejpam-5551	146	24	the	the	DET
ejpam-5551	146	25	following	follow	VERB
ejpam-5551	146	26	linear	linear	ADJ
ejpam-5551	146	27	system	system	NOUN
ejpam-5551	146	28	that	that	PRON
ejpam-5551	146	29	gkdk	gkdk	VERB
ejpam-5551	146	30	=	=	SYM
ejpam-5551	146	31	gk	gk	PROPN
ejpam-5551	146	32	.	.	PUNCT
ejpam-5551	147	1	(	(	PUNCT
ejpam-5551	147	2	10	10	NUM
ejpam-5551	147	3	)	)	PUNCT
ejpam-5551	147	4	after	after	ADP
ejpam-5551	147	5	the	the	DET
ejpam-5551	147	6	k	k	PROPN
ejpam-5551	147	7	-	-	PUNCT
ejpam-5551	147	8	th	th	VERB
ejpam-5551	147	9	iteration	iteration	NOUN
ejpam-5551	147	10	,	,	PUNCT
ejpam-5551	147	11	the	the	DET
ejpam-5551	147	12	specific	specific	ADJ
ejpam-5551	147	13	coefficient	coefficient	NOUN
ejpam-5551	147	14	matrix	matrix	NOUN
ejpam-5551	147	15	of	of	ADP
ejpam-5551	147	16	the	the	DET
ejpam-5551	147	17	system	system	NOUN
ejpam-5551	147	18	of	of	ADP
ejpam-5551	147	19	linear	linear	PROPN
ejpam-5551	147	20	equations	equation	NOUN
ejpam-5551	147	21	(	(	PUNCT
ejpam-5551	147	22	10	10	NUM
ejpam-5551	147	23	)	)	PUNCT
ejpam-5551	147	24	can	can	AUX
ejpam-5551	147	25	be	be	AUX
ejpam-5551	147	26	obtained	obtain	VERB
ejpam-5551	147	27	by	by	ADP
ejpam-5551	147	28	bringing	bring	VERB
ejpam-5551	147	29	xk	xk	PROPN
ejpam-5551	147	30	into	into	ADP
ejpam-5551	147	31	the	the	DET
ejpam-5551	147	32	hessian	hessian	ADJ
ejpam-5551	147	33	matrix	matrix	NOUN
ejpam-5551	147	34	gk	gk	PROPN
ejpam-5551	147	35	.	.	PUNCT
ejpam-5551	148	1	this	this	DET
ejpam-5551	148	2	coefficient	coefficient	NOUN
ejpam-5551	148	3	matrix	matrix	NOUN
ejpam-5551	148	4	we	we	PRON
ejpam-5551	148	5	denote	denote	VERB
ejpam-5551	148	6	by	by	ADP
ejpam-5551	148	7	the	the	DET
ejpam-5551	148	8	symbol	symbol	NOUN
ejpam-5551	148	9	a.	a.	NOUN
ejpam-5551	148	10	therefore	therefore	ADV
ejpam-5551	148	11	,	,	PUNCT
ejpam-5551	148	12	we	we	PRON
ejpam-5551	148	13	write	write	VERB
ejpam-5551	148	14	the	the	DET
ejpam-5551	148	15	system	system	NOUN
ejpam-5551	148	16	of	of	ADP
ejpam-5551	148	17	equations	equation	NOUN
ejpam-5551	148	18	(	(	PUNCT
ejpam-5551	148	19	10	10	NUM
ejpam-5551	148	20	)	)	PUNCT
ejpam-5551	148	21	in	in	ADP
ejpam-5551	148	22	the	the	DET
ejpam-5551	148	23	following	follow	VERB
ejpam-5551	148	24	simple	simple	ADJ
ejpam-5551	148	25	form	form	NOUN
ejpam-5551	148	26	:	:	PUNCT
ejpam-5551	148	27	ad	ad	NOUN
ejpam-5551	148	28	=	=	SYM
ejpam-5551	148	29	b	b	PROPN
ejpam-5551	148	30	,	,	PUNCT
ejpam-5551	148	31	(	(	PUNCT
ejpam-5551	148	32	11	11	NUM
ejpam-5551	148	33	)	)	PUNCT
ejpam-5551	148	34	where	where	SCONJ
ejpam-5551	148	35	,	,	PUNCT
ejpam-5551	148	36	a	a	DET
ejpam-5551	148	37	=	=	NOUN
ejpam-5551	148	38			NOUN
ejpam-5551	148	39	a1,1	a1,1	PROPN
ejpam-5551	148	40	a1,2	a1,2	PROPN
ejpam-5551	148	41	·	·	PUNCT
ejpam-5551	148	42	·	·	PUNCT
ejpam-5551	148	43	·	·	PUNCT
ejpam-5551	149	1	a1,n	a1,n	PROPN
ejpam-5551	149	2	a1,n+1	a1,n+1	PROPN
ejpam-5551	149	3	·	·	PUNCT
ejpam-5551	149	4	·	·	PUNCT
ejpam-5551	149	5	·	·	PUNCT
ejpam-5551	150	1	a1,s	a1,s	PROPN
ejpam-5551	150	2	a2,1	a2,1	PROPN
ejpam-5551	150	3	a2,2	a2,2	PROPN
ejpam-5551	150	4	·	·	PUNCT
ejpam-5551	150	5	·	·	PUNCT
ejpam-5551	150	6	·	·	PUNCT
ejpam-5551	151	1	a2,n	a2,n	ADV
ejpam-5551	151	2	a2,n+1	a2,n+1	PROPN
ejpam-5551	151	3	·	·	PUNCT
ejpam-5551	151	4	·	·	PUNCT
ejpam-5551	151	5	·	·	PUNCT
ejpam-5551	152	1	a2,s	a2,s	PROPN
ejpam-5551	152	2	...	...	PUNCT
ejpam-5551	152	3	...	...	PUNCT
ejpam-5551	152	4	.	.	PUNCT
ejpam-5551	152	5	.	.	PUNCT
ejpam-5551	152	6	.	.	PUNCT
ejpam-5551	153	1	...	...	PUNCT
ejpam-5551	153	2	...	...	PUNCT
ejpam-5551	153	3	.	.	PUNCT
ejpam-5551	153	4	.	.	PUNCT
ejpam-5551	154	1	.	.	PUNCT
ejpam-5551	155	1	...	...	PUNCT
ejpam-5551	156	1	an,1	an,1	PROPN
ejpam-5551	156	2	an,2	an,2	PROPN
ejpam-5551	156	3	·	·	PUNCT
ejpam-5551	156	4	·	·	PUNCT
ejpam-5551	156	5	·	·	PUNCT
ejpam-5551	156	6	an	an	X
ejpam-5551	156	7	,	,	PUNCT
ejpam-5551	156	8	n	n	NOUN
ejpam-5551	156	9	an	an	PRON
ejpam-5551	156	10	,	,	PUNCT
ejpam-5551	156	11	n+1	n+1	PROPN
ejpam-5551	156	12	·	·	PUNCT
ejpam-5551	156	13	·	·	PUNCT
ejpam-5551	156	14	·	·	PUNCT
ejpam-5551	156	15	an	an	X
ejpam-5551	156	16	,	,	PUNCT
ejpam-5551	156	17	s	s	PART
ejpam-5551	156	18	an+1,1	an+1,1	PROPN
ejpam-5551	156	19	an+1,2	an+1,2	PROPN
ejpam-5551	156	20	·	·	PUNCT
ejpam-5551	156	21	·	·	PUNCT
ejpam-5551	156	22	·	·	PUNCT
ejpam-5551	156	23	an+1,n	an+1,n	PROPN
ejpam-5551	156	24	an+1,n+1	an+1,n+1	NOUN
ejpam-5551	156	25	·	·	PUNCT
ejpam-5551	156	26	·	·	PUNCT
ejpam-5551	156	27	·	·	PUNCT
ejpam-5551	156	28	an+1,s	an+1,s	NOUN
ejpam-5551	156	29	...	...	PUNCT
ejpam-5551	156	30	...	...	PUNCT
ejpam-5551	156	31	.	.	PUNCT
ejpam-5551	156	32	.	.	PUNCT
ejpam-5551	156	33	.	.	PUNCT
ejpam-5551	156	34	...	...	PUNCT
ejpam-5551	156	35	...	...	PUNCT
ejpam-5551	156	36	.	.	PUNCT
ejpam-5551	156	37	.	.	PUNCT
ejpam-5551	156	38	.	.	PUNCT
ejpam-5551	156	39	...	...	PUNCT
ejpam-5551	157	1	as,1	as,1	NOUN
ejpam-5551	157	2	as,2	as,2	NOUN
ejpam-5551	157	3	·	·	PUNCT
ejpam-5551	157	4	·	·	PUNCT
ejpam-5551	157	5	·	·	PUNCT
ejpam-5551	157	6	as	as	ADP
ejpam-5551	157	7	,	,	PUNCT
ejpam-5551	157	8	n	n	CCONJ
ejpam-5551	157	9	as	as	ADP
ejpam-5551	157	10	,	,	PUNCT
ejpam-5551	157	11	n+1	n+1	PROPN
ejpam-5551	157	12	·	·	PUNCT
ejpam-5551	157	13	·	·	PUNCT
ejpam-5551	157	14	·	·	PUNCT
ejpam-5551	157	15	as	as	ADP
ejpam-5551	157	16	,	,	PUNCT
ejpam-5551	157	17	s	s	PART
ejpam-5551	157	18			NOUN
ejpam-5551	157	19	,	,	PUNCT
ejpam-5551	157	20	d	d	X
ejpam-5551	157	21	=	=	SYM
ejpam-5551	157	22			NOUN
ejpam-5551	157	23	d1	d1	PROPN
ejpam-5551	157	24	d2	d2	PROPN
ejpam-5551	157	25	...	...	PUNCT
ejpam-5551	157	26	ds−1	ds−1	ADJ
ejpam-5551	157	27	ds	ds	ADJ
ejpam-5551	157	28			NOUN
ejpam-5551	157	29	,	,	PUNCT
ejpam-5551	157	30	b	b	X
ejpam-5551	157	31	=	=	SYM
ejpam-5551	157	32			NOUN
ejpam-5551	157	33	b1	b1	NOUN
ejpam-5551	157	34	b2	b2	NOUN
ejpam-5551	157	35	...	...	PUNCT
ejpam-5551	157	36	bs−1	bs−1	ADJ
ejpam-5551	157	37	bs	b	NOUN
ejpam-5551	157	38			NOUN
ejpam-5551	157	39	,	,	PUNCT
ejpam-5551	157	40	p.	p.	PROPN
ejpam-5551	157	41	cheng	cheng	PROPN
ejpam-5551	157	42	et	et	PROPN
ejpam-5551	157	43	al	al	PROPN
ejpam-5551	157	44	.	.	PUNCT
ejpam-5551	157	45	/	/	SYM
ejpam-5551	157	46	eur	eur	PROPN
ejpam-5551	157	47	.	.	PUNCT
ejpam-5551	158	1	j.	j.	PROPN
ejpam-5551	158	2	pure	pure	PROPN
ejpam-5551	158	3	appl	appl	PROPN
ejpam-5551	158	4	.	.	PROPN
ejpam-5551	158	5	math	math	PROPN
ejpam-5551	158	6	,	,	PUNCT
ejpam-5551	158	7	18	18	NUM
ejpam-5551	158	8	(	(	PUNCT
ejpam-5551	158	9	1	1	NUM
ejpam-5551	158	10	)	)	PUNCT
ejpam-5551	158	11	(	(	PUNCT
ejpam-5551	158	12	2025	2025	NUM
ejpam-5551	158	13	)	)	PUNCT
ejpam-5551	158	14	,	,	PUNCT
ejpam-5551	158	15	5551	5551	NUM
ejpam-5551	158	16	8	8	NUM
ejpam-5551	158	17	of	of	ADP
ejpam-5551	158	18	22	22	NUM
ejpam-5551	158	19	a1,1	a1,1	NOUN
ejpam-5551	158	20	,	,	PUNCT
ejpam-5551	158	21	·	·	PUNCT
ejpam-5551	158	22	·	·	PUNCT
ejpam-5551	158	23	·	·	PUNCT
ejpam-5551	158	24	,	,	PUNCT
ejpam-5551	158	25	as	as	ADP
ejpam-5551	158	26	,	,	PUNCT
ejpam-5551	158	27	s	s	X
ejpam-5551	158	28	,	,	PUNCT
ejpam-5551	158	29	d1	d1	NOUN
ejpam-5551	158	30	,	,	PUNCT
ejpam-5551	158	31	·	·	PUNCT
ejpam-5551	158	32	·	·	PUNCT
ejpam-5551	158	33	·	·	PUNCT
ejpam-5551	158	34	,	,	PUNCT
ejpam-5551	158	35	ds	ds	PROPN
ejpam-5551	158	36	,	,	PUNCT
ejpam-5551	158	37	b1	b1	NOUN
ejpam-5551	158	38	,	,	PUNCT
ejpam-5551	158	39	·	·	PUNCT
ejpam-5551	158	40	·	·	PUNCT
ejpam-5551	158	41	·	·	PUNCT
ejpam-5551	158	42	,	,	PUNCT
ejpam-5551	158	43	bs	bs	PROPN
ejpam-5551	158	44	∈	∈	PROPN
ejpam-5551	158	45	r	r	NOUN
ejpam-5551	158	46	and	and	CCONJ
ejpam-5551	158	47	s	s	NOUN
ejpam-5551	158	48	=	=	PUNCT
ejpam-5551	158	49	n	n	PROPN
ejpam-5551	158	50	+	+	X
ejpam-5551	158	51	p	p	X
ejpam-5551	158	52	,	,	PUNCT
ejpam-5551	158	53	the	the	DET
ejpam-5551	158	54	diagonal	diagonal	ADJ
ejpam-5551	158	55	elements	element	NOUN
ejpam-5551	158	56	contain	contain	VERB
ejpam-5551	158	57	at	at	ADP
ejpam-5551	158	58	least	least	ADJ
ejpam-5551	158	59	p	p	DET
ejpam-5551	158	60	zeros	zero	NOUN
ejpam-5551	158	61	.	.	PUNCT
ejpam-5551	159	1	combined	combine	VERB
ejpam-5551	159	2	with	with	ADP
ejpam-5551	159	3	the	the	DET
ejpam-5551	159	4	gauss	gauss	ADJ
ejpam-5551	159	5	-	-	PUNCT
ejpam-5551	159	6	seidel	seidel	PROPN
ejpam-5551	159	7	iterative	iterative	NOUN
ejpam-5551	159	8	method	method	NOUN
ejpam-5551	159	9	for	for	ADP
ejpam-5551	159	10	solving	solve	VERB
ejpam-5551	159	11	the	the	DET
ejpam-5551	159	12	linear	linear	ADJ
ejpam-5551	159	13	system	system	NOUN
ejpam-5551	159	14	,	,	PUNCT
ejpam-5551	159	15	we	we	PRON
ejpam-5551	159	16	propose	propose	VERB
ejpam-5551	159	17	the	the	DET
ejpam-5551	159	18	2	2	NUM
ejpam-5551	159	19	-	-	PUNCT
ejpam-5551	159	20	point	point	NOUN
ejpam-5551	159	21	explicit	explicit	ADJ
ejpam-5551	159	22	group	group	NOUN
ejpam-5551	159	23	gauss	gauss	PROPN
ejpam-5551	159	24	-	-	PUNCT
ejpam-5551	159	25	seidel	seidel	PROPN
ejpam-5551	159	26	(	(	PUNCT
ejpam-5551	159	27	2eggs	2eggs	NUM
ejpam-5551	159	28	)	)	PUNCT
ejpam-5551	159	29	iterative	iterative	NOUN
ejpam-5551	159	30	method	method	NOUN
ejpam-5551	159	31	and	and	CCONJ
ejpam-5551	159	32	the	the	DET
ejpam-5551	159	33	4	4	NUM
ejpam-5551	159	34	-	-	PUNCT
ejpam-5551	159	35	point	point	NOUN
ejpam-5551	159	36	explicit	explicit	ADJ
ejpam-5551	159	37	group	group	NOUN
ejpam-5551	159	38	gauss	gauss	PROPN
ejpam-5551	159	39	-	-	PUNCT
ejpam-5551	159	40	seidel	seidel	PROPN
ejpam-5551	159	41	(	(	PUNCT
ejpam-5551	159	42	4eggs	4eggs	NUM
ejpam-5551	159	43	)	)	PUNCT
ejpam-5551	159	44	iterative	iterative	NOUN
ejpam-5551	159	45	method	method	NOUN
ejpam-5551	159	46	iteration	iteration	NOUN
ejpam-5551	159	47	.	.	PUNCT
ejpam-5551	160	1	the	the	DET
ejpam-5551	160	2	computational	computational	ADJ
ejpam-5551	160	3	principles	principle	NOUN
ejpam-5551	160	4	of	of	ADP
ejpam-5551	160	5	the	the	DET
ejpam-5551	160	6	two	two	NUM
ejpam-5551	160	7	methods	method	NOUN
ejpam-5551	160	8	are	be	AUX
ejpam-5551	160	9	given	give	VERB
ejpam-5551	160	10	below	below	ADP
ejpam-5551	160	11	.	.	PUNCT
ejpam-5551	161	1	3.1	3.1	NUM
ejpam-5551	161	2	.	.	PUNCT
ejpam-5551	161	3	formulation	formulation	NOUN
ejpam-5551	161	4	of	of	ADP
ejpam-5551	161	5	newton-2eggs	newton-2eggs	NUM
ejpam-5551	161	6	to	to	PART
ejpam-5551	161	7	present	present	VERB
ejpam-5551	161	8	our	our	PRON
ejpam-5551	161	9	iterative	iterative	NOUN
ejpam-5551	161	10	method	method	NOUN
ejpam-5551	161	11	,	,	PUNCT
ejpam-5551	161	12	we	we	PRON
ejpam-5551	161	13	decompose	decompose	VERB
ejpam-5551	161	14	the	the	DET
ejpam-5551	161	15	matrix	matrix	NOUN
ejpam-5551	161	16	,	,	PUNCT
ejpam-5551	161	17	a	a	PRON
ejpam-5551	161	18	as	as	ADP
ejpam-5551	161	19	a	a	DET
ejpam-5551	161	20	=	=	SYM
ejpam-5551	161	21	d1	d1	PROPN
ejpam-5551	161	22	−	−	PROPN
ejpam-5551	161	23	l1	l1	PROPN
ejpam-5551	161	24	−	−	PROPN
ejpam-5551	161	25	u1	u1	PROPN
ejpam-5551	161	26	,	,	PUNCT
ejpam-5551	161	27	where	where	SCONJ
ejpam-5551	161	28	d1	d1	PROPN
ejpam-5551	161	29	,	,	PUNCT
ejpam-5551	161	30	l1	l1	PROPN
ejpam-5551	161	31	,	,	PUNCT
ejpam-5551	161	32	u1	u1	PROPN
ejpam-5551	161	33	are	be	AUX
ejpam-5551	161	34	of	of	ADP
ejpam-5551	161	35	the	the	DET
ejpam-5551	161	36	following	follow	VERB
ejpam-5551	161	37	form	form	NOUN
ejpam-5551	161	38	:	:	PUNCT
ejpam-5551	161	39	d1	d1	PROPN
ejpam-5551	161	40	=	=	SYM
ejpam-5551	161	41			PROPN
ejpam-5551	161	42	a1,1	a1,1	PROPN
ejpam-5551	161	43	a1,2	a1,2	NOUN
ejpam-5551	161	44	0	0	NUM
ejpam-5551	161	45	0	0	NUM
ejpam-5551	161	46	0	0	NUM
ejpam-5551	161	47	·	·	PUNCT
ejpam-5551	161	48	·	·	PUNCT
ejpam-5551	161	49	·	·	PUNCT
ejpam-5551	162	1	0	0	NUM
ejpam-5551	162	2	0	0	NUM
ejpam-5551	163	1	a2,1	a2,1	PROPN
ejpam-5551	163	2	a2,2	a2,2	PROPN
ejpam-5551	163	3	0	0	NUM
ejpam-5551	163	4	0	0	NUM
ejpam-5551	163	5	0	0	NUM
ejpam-5551	163	6	·	·	PUNCT
ejpam-5551	163	7	·	·	PUNCT
ejpam-5551	163	8	·	·	PUNCT
ejpam-5551	163	9	0	0	NUM
ejpam-5551	163	10	0	0	NUM
ejpam-5551	163	11	0	0	NUM
ejpam-5551	163	12	0	0	NUM
ejpam-5551	164	1	a3,3	a3,3	ADP
ejpam-5551	164	2	a3,4	a3,4	ADJ
ejpam-5551	164	3	0	0	NUM
ejpam-5551	164	4	·	·	PUNCT
ejpam-5551	164	5	·	·	PUNCT
ejpam-5551	164	6	·	·	PUNCT
ejpam-5551	164	7	0	0	NUM
ejpam-5551	164	8	0	0	NUM
ejpam-5551	164	9	0	0	NUM
ejpam-5551	164	10	0	0	NUM
ejpam-5551	165	1	a4,3	a4,3	PROPN
ejpam-5551	165	2	a4,4	a4,4	PROPN
ejpam-5551	165	3	0	0	NUM
ejpam-5551	165	4	·	·	PUNCT
ejpam-5551	165	5	·	·	PUNCT
ejpam-5551	165	6	·	·	PUNCT
ejpam-5551	165	7	0	0	NUM
ejpam-5551	165	8	0	0	NUM
ejpam-5551	165	9	0	0	NUM
ejpam-5551	165	10	0	0	NUM
ejpam-5551	165	11	0	0	NUM
ejpam-5551	165	12	0	0	NUM
ejpam-5551	165	13	.	.	PUNCT
ejpam-5551	165	14	.	.	PUNCT
ejpam-5551	165	15	.	.	PUNCT
ejpam-5551	165	16	.	.	PUNCT
ejpam-5551	165	17	.	.	PUNCT
ejpam-5551	165	18	.	.	PUNCT
ejpam-5551	166	1	0	0	NUM
ejpam-5551	166	2	0	0	NUM
ejpam-5551	166	3	...	...	PUNCT
ejpam-5551	166	4	...	...	PUNCT
ejpam-5551	166	5	...	...	PUNCT
ejpam-5551	166	6	...	...	PUNCT
ejpam-5551	166	7	.	.	PUNCT
ejpam-5551	166	8	.	.	PUNCT
ejpam-5551	166	9	.	.	PUNCT
ejpam-5551	166	10	.	.	PUNCT
ejpam-5551	166	11	.	.	PUNCT
ejpam-5551	167	1	.	.	PUNCT
ejpam-5551	168	1	...	...	PUNCT
ejpam-5551	169	1	...	...	PUNCT
ejpam-5551	170	1	0	0	NUM
ejpam-5551	170	2	0	0	NUM
ejpam-5551	170	3	0	0	NUM
ejpam-5551	170	4	0	0	NUM
ejpam-5551	170	5	0	0	NUM
ejpam-5551	170	6	·	·	PUNCT
ejpam-5551	170	7	·	·	PUNCT
ejpam-5551	170	8	·	·	PUNCT
ejpam-5551	171	1	as−1,s−1	as−1,s−1	ADJ
ejpam-5551	171	2	as−1,s	as−1,s	NOUN
ejpam-5551	171	3	0	0	NUM
ejpam-5551	171	4	0	0	NUM
ejpam-5551	171	5	0	0	NUM
ejpam-5551	171	6	0	0	NUM
ejpam-5551	171	7	0	0	NUM
ejpam-5551	171	8	·	·	PUNCT
ejpam-5551	171	9	·	·	PUNCT
ejpam-5551	171	10	·	·	PUNCT
ejpam-5551	172	1	as	as	SCONJ
ejpam-5551	172	2	,	,	PUNCT
ejpam-5551	172	3	s−1	s−1	PROPN
ejpam-5551	172	4	as	as	ADP
ejpam-5551	172	5	,	,	PUNCT
ejpam-5551	172	6	s	s	NOUN
ejpam-5551	172	7			NOUN
ejpam-5551	172	8	,	,	PUNCT
ejpam-5551	172	9	l1	l1	PROPN
ejpam-5551	172	10	=	=	SYM
ejpam-5551	172	11			PROPN
ejpam-5551	172	12	0	0	NUM
ejpam-5551	172	13	0	0	NUM
ejpam-5551	172	14	a1,3	a1,3	ADP
ejpam-5551	172	15	a1,4	a1,4	ADP
ejpam-5551	172	16	a1,5	a1,5	PROPN
ejpam-5551	172	17	·	·	PUNCT
ejpam-5551	172	18	·	·	PUNCT
ejpam-5551	172	19	·	·	PUNCT
ejpam-5551	172	20	a1,s−1	a1,s−1	ADJ
ejpam-5551	172	21	a1,s	a1,s	PROPN
ejpam-5551	172	22	0	0	NUM
ejpam-5551	172	23	0	0	PUNCT
ejpam-5551	173	1	a2,3	a2,3	PROPN
ejpam-5551	173	2	a2,4	a2,4	PROPN
ejpam-5551	173	3	a2,5	a2,5	PROPN
ejpam-5551	173	4	·	·	PUNCT
ejpam-5551	173	5	·	·	PUNCT
ejpam-5551	173	6	·	·	PUNCT
ejpam-5551	174	1	a2,s−1	a2,s−1	ADJ
ejpam-5551	174	2	a2,s	a2,s	PROPN
ejpam-5551	174	3	0	0	NUM
ejpam-5551	174	4	0	0	NUM
ejpam-5551	174	5	0	0	NUM
ejpam-5551	174	6	0	0	NUM
ejpam-5551	174	7	a3,5	a3,5	PRON
ejpam-5551	174	8	·	·	PUNCT
ejpam-5551	174	9	·	·	PUNCT
ejpam-5551	174	10	·	·	PUNCT
ejpam-5551	174	11	a3,s−1	a3,s−1	ADJ
ejpam-5551	175	1	a3,s	a3,s	PROPN
ejpam-5551	175	2	0	0	NUM
ejpam-5551	175	3	0	0	NUM
ejpam-5551	175	4	0	0	NUM
ejpam-5551	175	5	0	0	NUM
ejpam-5551	176	1	a4,5	a4,5	ADJ
ejpam-5551	176	2	·	·	PUNCT
ejpam-5551	176	3	·	·	PUNCT
ejpam-5551	176	4	·	·	PUNCT
ejpam-5551	176	5	a4,s−1	a4,s−1	ADJ
ejpam-5551	177	1	a4,s	a4,s	ADP
ejpam-5551	177	2	0	0	NUM
ejpam-5551	177	3	0	0	NUM
ejpam-5551	177	4	0	0	NUM
ejpam-5551	177	5	0	0	NUM
ejpam-5551	177	6	.	.	PUNCT
ejpam-5551	177	7	.	.	PUNCT
ejpam-5551	177	8	.	.	PUNCT
ejpam-5551	177	9	.	.	PUNCT
ejpam-5551	177	10	.	.	PUNCT
ejpam-5551	177	11	.	.	PUNCT
ejpam-5551	178	1	a5,s−1	a5,s−1	PROPN
ejpam-5551	178	2	a5,s	a5,s	PROPN
ejpam-5551	178	3	...	...	PUNCT
ejpam-5551	178	4	...	...	PUNCT
ejpam-5551	178	5	...	...	PUNCT
ejpam-5551	178	6	...	...	PUNCT
ejpam-5551	178	7	.	.	PUNCT
ejpam-5551	178	8	.	.	PUNCT
ejpam-5551	178	9	.	.	PUNCT
ejpam-5551	178	10	.	.	PUNCT
ejpam-5551	178	11	.	.	PUNCT
ejpam-5551	178	12	.	.	PUNCT
ejpam-5551	179	1	...	...	PUNCT
ejpam-5551	180	1	...	...	PUNCT
ejpam-5551	181	1	0	0	NUM
ejpam-5551	181	2	0	0	NUM
ejpam-5551	181	3	0	0	NUM
ejpam-5551	181	4	0	0	NUM
ejpam-5551	181	5	0	0	NUM
ejpam-5551	181	6	·	·	PUNCT
ejpam-5551	181	7	·	·	PUNCT
ejpam-5551	181	8	·	·	PUNCT
ejpam-5551	181	9	0	0	NUM
ejpam-5551	182	1	0	0	NUM
ejpam-5551	182	2	0	0	NUM
ejpam-5551	182	3	0	0	NUM
ejpam-5551	182	4	0	0	NUM
ejpam-5551	182	5	0	0	NUM
ejpam-5551	182	6	0	0	NUM
ejpam-5551	182	7	·	·	PUNCT
ejpam-5551	182	8	·	·	PUNCT
ejpam-5551	182	9	·	·	PUNCT
ejpam-5551	182	10	0	0	NUM
ejpam-5551	182	11	0	0	NUM
ejpam-5551	182	12			NOUN
ejpam-5551	182	13	,	,	PUNCT
ejpam-5551	182	14	u1	u1	NOUN
ejpam-5551	182	15	=	=	SYM
ejpam-5551	182	16			PROPN
ejpam-5551	182	17	0	0	NUM
ejpam-5551	183	1	0	0	NUM
ejpam-5551	183	2	0	0	NUM
ejpam-5551	183	3	0	0	NUM
ejpam-5551	183	4	0	0	NUM
ejpam-5551	183	5	·	·	PUNCT
ejpam-5551	183	6	·	·	PUNCT
ejpam-5551	183	7	·	·	PUNCT
ejpam-5551	183	8	0	0	NUM
ejpam-5551	184	1	0	0	NUM
ejpam-5551	184	2	0	0	NUM
ejpam-5551	184	3	0	0	NUM
ejpam-5551	184	4	0	0	NUM
ejpam-5551	184	5	0	0	NUM
ejpam-5551	184	6	0	0	NUM
ejpam-5551	184	7	·	·	PUNCT
ejpam-5551	184	8	·	·	PUNCT
ejpam-5551	184	9	·	·	PUNCT
ejpam-5551	184	10	0	0	NUM
ejpam-5551	184	11	0	0	NUM
ejpam-5551	185	1	a3,1	a3,1	PROPN
ejpam-5551	185	2	a3,2	a3,2	NOUN
ejpam-5551	185	3	0	0	NUM
ejpam-5551	185	4	0	0	NUM
ejpam-5551	185	5	0	0	NUM
ejpam-5551	185	6	·	·	PUNCT
ejpam-5551	185	7	·	·	PUNCT
ejpam-5551	185	8	·	·	PUNCT
ejpam-5551	185	9	0	0	PUNCT
ejpam-5551	185	10	0	0	NUM
ejpam-5551	185	11	a4,1	a4,1	PROPN
ejpam-5551	185	12	a4,2	a4,2	PROPN
ejpam-5551	185	13	0	0	NUM
ejpam-5551	185	14	0	0	NUM
ejpam-5551	185	15	0	0	NUM
ejpam-5551	185	16	·	·	PUNCT
ejpam-5551	185	17	·	·	PUNCT
ejpam-5551	185	18	·	·	PUNCT
ejpam-5551	185	19	0	0	NUM
ejpam-5551	185	20	0	0	X
ejpam-5551	186	1	a5,1	a5,1	NOUN
ejpam-5551	186	2	a5,2	a5,2	NOUN
ejpam-5551	186	3	a5,3	a5,3	PROPN
ejpam-5551	186	4	a5,4	a5,4	PROPN
ejpam-5551	186	5	.	.	PUNCT
ejpam-5551	186	6	.	.	PUNCT
ejpam-5551	186	7	.	.	PUNCT
ejpam-5551	186	8	.	.	PUNCT
ejpam-5551	186	9	.	.	PUNCT
ejpam-5551	187	1	.	.	PUNCT
ejpam-5551	188	1	0	0	NUM
ejpam-5551	188	2	0	0	NUM
ejpam-5551	188	3	...	...	PUNCT
ejpam-5551	188	4	...	...	PUNCT
ejpam-5551	188	5	...	...	PUNCT
ejpam-5551	188	6	...	...	PUNCT
ejpam-5551	188	7	.	.	PUNCT
ejpam-5551	188	8	.	.	PUNCT
ejpam-5551	188	9	.	.	PUNCT
ejpam-5551	188	10	.	.	PUNCT
ejpam-5551	188	11	.	.	PUNCT
ejpam-5551	188	12	.	.	PUNCT
ejpam-5551	189	1	...	...	PUNCT
ejpam-5551	189	2	...	...	PUNCT
ejpam-5551	190	1	as−1,1	as−1,1	X
ejpam-5551	190	2	as−1,2	as−1,2	ADJ
ejpam-5551	190	3	as−1,3	as−1,3	X
ejpam-5551	190	4	as−1,4	as−1,4	ADJ
ejpam-5551	190	5	as−1,5	as−1,5	NOUN
ejpam-5551	190	6	·	·	PUNCT
ejpam-5551	190	7	·	·	PUNCT
ejpam-5551	190	8	·	·	PUNCT
ejpam-5551	190	9	0	0	NUM
ejpam-5551	190	10	0	0	NUM
ejpam-5551	190	11	as,1	as,1	NOUN
ejpam-5551	190	12	as,2	as,2	NOUN
ejpam-5551	190	13	as,3	as,3	NOUN
ejpam-5551	190	14	as,4	as,4	PROPN
ejpam-5551	190	15	as,5	as,5	PROPN
ejpam-5551	190	16	·	·	PUNCT
ejpam-5551	190	17	·	·	PUNCT
ejpam-5551	190	18	·	·	PUNCT
ejpam-5551	190	19	0	0	NUM
ejpam-5551	190	20	0	0	NUM
ejpam-5551	190	21			NOUN
ejpam-5551	190	22	,	,	PUNCT
ejpam-5551	190	23	if	if	SCONJ
ejpam-5551	190	24	the	the	DET
ejpam-5551	190	25	last	last	ADJ
ejpam-5551	190	26	module	module	NOUN
ejpam-5551	190	27	of	of	ADP
ejpam-5551	190	28	the	the	DET
ejpam-5551	190	29	block	block	NOUN
ejpam-5551	190	30	diagonal	diagonal	ADJ
ejpam-5551	190	31	matrix	matrix	NOUN
ejpam-5551	190	32	,	,	PUNCT
ejpam-5551	190	33	d1	d1	PROPN
ejpam-5551	190	34	is	be	AUX
ejpam-5551	190	35	less	less	ADJ
ejpam-5551	190	36	than	than	ADP
ejpam-5551	190	37	4	4	NUM
ejpam-5551	190	38	elements	element	NOUN
ejpam-5551	190	39	,	,	PUNCT
ejpam-5551	190	40	the	the	DET
ejpam-5551	190	41	actual	actual	ADJ
ejpam-5551	190	42	division	division	NOUN
ejpam-5551	190	43	of	of	ADP
ejpam-5551	190	44	the	the	DET
ejpam-5551	190	45	elements	element	NOUN
ejpam-5551	190	46	will	will	AUX
ejpam-5551	190	47	prevail	prevail	VERB
ejpam-5551	190	48	.	.	PUNCT
ejpam-5551	191	1	so	so	ADV
ejpam-5551	191	2	the	the	DET
ejpam-5551	191	3	2	2	NUM
ejpam-5551	191	4	-	-	PUNCT
ejpam-5551	191	5	point	point	NOUN
ejpam-5551	191	6	explicit	explicit	ADJ
ejpam-5551	191	7	group	group	NOUN
ejpam-5551	191	8	gauss	gauss	ADJ
ejpam-5551	191	9	-	-	PUNCT
ejpam-5551	191	10	seidel	seidel	PROPN
ejpam-5551	191	11	iteration	iteration	NOUN
ejpam-5551	191	12	for	for	ADP
ejpam-5551	191	13	solving	solve	VERB
ejpam-5551	191	14	the	the	DET
ejpam-5551	191	15	linear	linear	ADJ
ejpam-5551	191	16	system	system	NOUN
ejpam-5551	191	17	(	(	PUNCT
ejpam-5551	191	18	11	11	NUM
ejpam-5551	191	19	)	)	PUNCT
ejpam-5551	191	20	is	be	AUX
ejpam-5551	191	21	as	as	SCONJ
ejpam-5551	191	22	follows	follow	VERB
ejpam-5551	191	23	:	:	PUNCT
ejpam-5551	191	24	{	{	PUNCT
ejpam-5551	191	25	d(0)(initial	d(0)(initial	ADJ
ejpam-5551	191	26	vector	vector	NOUN
ejpam-5551	191	27	)	)	PUNCT
ejpam-5551	191	28	,	,	PUNCT
ejpam-5551	191	29	d(k+1	d(k+1	NOUN
ejpam-5551	191	30	)	)	PUNCT
ejpam-5551	191	31	=	=	SYM
ejpam-5551	192	1	(	(	PUNCT
ejpam-5551	192	2	d1	d1	PROPN
ejpam-5551	192	3	−	−	PROPN
ejpam-5551	192	4	l1	l1	PROPN
ejpam-5551	192	5	)	)	PUNCT
ejpam-5551	192	6	−1u1d	−1u1d	PUNCT
ejpam-5551	192	7	(	(	PUNCT
ejpam-5551	192	8	k	k	NOUN
ejpam-5551	192	9	)	)	PUNCT
ejpam-5551	192	10	+	+	CCONJ
ejpam-5551	192	11	(	(	PUNCT
ejpam-5551	192	12	d1	d1	PROPN
ejpam-5551	192	13	−	−	PROPN
ejpam-5551	192	14	l1	l1	PROPN
ejpam-5551	192	15	)	)	PUNCT
ejpam-5551	192	16	−1b	−1b	PROPN
ejpam-5551	192	17	,	,	PUNCT
ejpam-5551	192	18	k	k	PROPN
ejpam-5551	192	19	=	=	SYM
ejpam-5551	192	20	0	0	NUM
ejpam-5551	192	21	,	,	PUNCT
ejpam-5551	192	22	1	1	NUM
ejpam-5551	192	23	,	,	PUNCT
ejpam-5551	192	24	·	·	PUNCT
ejpam-5551	192	25	·	·	PUNCT
ejpam-5551	192	26	·	·	PUNCT
ejpam-5551	192	27	.	.	PUNCT
ejpam-5551	193	1	(	(	PUNCT
ejpam-5551	193	2	12	12	NUM
ejpam-5551	193	3	)	)	PUNCT
ejpam-5551	194	1	p.	p.	NOUN
ejpam-5551	194	2	cheng	cheng	PROPN
ejpam-5551	194	3	et	et	PROPN
ejpam-5551	194	4	al	al	PROPN
ejpam-5551	194	5	.	.	PUNCT
ejpam-5551	194	6	/	/	SYM
ejpam-5551	194	7	eur	eur	PROPN
ejpam-5551	194	8	.	.	PUNCT
ejpam-5551	195	1	j.	j.	PROPN
ejpam-5551	195	2	pure	pure	PROPN
ejpam-5551	195	3	appl	appl	PROPN
ejpam-5551	195	4	.	.	PROPN
ejpam-5551	195	5	math	math	PROPN
ejpam-5551	195	6	,	,	PUNCT
ejpam-5551	195	7	18	18	NUM
ejpam-5551	195	8	(	(	PUNCT
ejpam-5551	195	9	1	1	NUM
ejpam-5551	195	10	)	)	PUNCT
ejpam-5551	195	11	(	(	PUNCT
ejpam-5551	195	12	2025	2025	NUM
ejpam-5551	195	13	)	)	PUNCT
ejpam-5551	195	14	,	,	PUNCT
ejpam-5551	195	15	5551	5551	NUM
ejpam-5551	195	16	9	9	NUM
ejpam-5551	195	17	of	of	ADP
ejpam-5551	195	18	22	22	NUM
ejpam-5551	195	19	the	the	DET
ejpam-5551	195	20	formula	formula	NOUN
ejpam-5551	195	21	for	for	ADP
ejpam-5551	195	22	calculating	calculate	VERB
ejpam-5551	195	23	its	its	PRON
ejpam-5551	195	24	components	component	NOUN
ejpam-5551	195	25	is	be	AUX
ejpam-5551	195	26	given	give	VERB
ejpam-5551	195	27	below	below	ADV
ejpam-5551	195	28	and	and	CCONJ
ejpam-5551	195	29	denoted	denote	VERB
ejpam-5551	195	30	as	as	ADP
ejpam-5551	195	31	d(k	d(k	PROPN
ejpam-5551	195	32	)	)	PUNCT
ejpam-5551	195	33	=	=	PUNCT
ejpam-5551	196	1	(	(	PUNCT
ejpam-5551	196	2	d	d	X
ejpam-5551	196	3	(	(	PUNCT
ejpam-5551	196	4	k	k	NOUN
ejpam-5551	196	5	)	)	PUNCT
ejpam-5551	196	6	1	1	NUM
ejpam-5551	196	7	,	,	PUNCT
ejpam-5551	196	8	d	d	X
ejpam-5551	196	9	(	(	PUNCT
ejpam-5551	196	10	k	k	NOUN
ejpam-5551	196	11	)	)	PUNCT
ejpam-5551	196	12	2	2	NUM
ejpam-5551	196	13	,	,	PUNCT
ejpam-5551	196	14	·	·	PUNCT
ejpam-5551	196	15	·	·	PUNCT
ejpam-5551	196	16	·	·	PUNCT
ejpam-5551	196	17	,	,	PUNCT
ejpam-5551	196	18	d(k)i	d(k)i	PROPN
ejpam-5551	196	19	,	,	PUNCT
ejpam-5551	196	20	·	·	PUNCT
ejpam-5551	196	21	·	·	PUNCT
ejpam-5551	196	22	·	·	PUNCT
ejpam-5551	196	23	,	,	PUNCT
ejpam-5551	196	24	d(k)s	d(k)s	PROPN
ejpam-5551	196	25	)	)	PUNCT
ejpam-5551	196	26	t	t	PROPN
ejpam-5551	196	27	.	.	PUNCT
ejpam-5551	197	1	(	(	PUNCT
ejpam-5551	197	2	13	13	NUM
ejpam-5551	197	3	)	)	PUNCT
ejpam-5551	197	4	from	from	ADP
ejpam-5551	197	5	equation	equation	NOUN
ejpam-5551	197	6	(	(	PUNCT
ejpam-5551	197	7	12	12	NUM
ejpam-5551	197	8	)	)	PUNCT
ejpam-5551	197	9	we	we	PRON
ejpam-5551	197	10	have	have	VERB
ejpam-5551	197	11	(	(	PUNCT
ejpam-5551	197	12	d1	d1	NOUN
ejpam-5551	197	13	−	−	PROPN
ejpam-5551	197	14	l1)d	l1)d	NOUN
ejpam-5551	197	15	(	(	PUNCT
ejpam-5551	197	16	k+1	k+1	NOUN
ejpam-5551	197	17	)	)	PUNCT
ejpam-5551	197	18	=	=	SYM
ejpam-5551	197	19	u1d	u1d	PROPN
ejpam-5551	197	20	(	(	PUNCT
ejpam-5551	197	21	k	k	NOUN
ejpam-5551	197	22	)	)	PUNCT
ejpam-5551	198	1	+	+	SYM
ejpam-5551	198	2	b	b	X
ejpam-5551	198	3	,	,	PUNCT
ejpam-5551	198	4	d1d	d1d	PROPN
ejpam-5551	198	5	(	(	PUNCT
ejpam-5551	198	6	k+1	k+1	NOUN
ejpam-5551	198	7	)	)	PUNCT
ejpam-5551	198	8	=	=	SYM
ejpam-5551	198	9	l1d	l1d	NOUN
ejpam-5551	198	10	(	(	PUNCT
ejpam-5551	198	11	k	k	NOUN
ejpam-5551	198	12	)	)	PUNCT
ejpam-5551	198	13	+	+	NUM
ejpam-5551	198	14	u1d	u1d	PROPN
ejpam-5551	198	15	(	(	PUNCT
ejpam-5551	198	16	k	k	NOUN
ejpam-5551	198	17	)	)	PUNCT
ejpam-5551	198	18	+	+	SYM
ejpam-5551	199	1	b	b	X
ejpam-5551	199	2	,	,	PUNCT
ejpam-5551	199	3	i.e.	i.e.	X
ejpam-5551	199	4	ai	ai	NOUN
ejpam-5551	199	5	,	,	PUNCT
ejpam-5551	199	6	id	id	X
ejpam-5551	199	7	(	(	PUNCT
ejpam-5551	199	8	k+1	k+1	X
ejpam-5551	199	9	)	)	PUNCT
ejpam-5551	199	10	i	i	PRON
ejpam-5551	199	11	+	+	CCONJ
ejpam-5551	199	12	ai	ai	VERB
ejpam-5551	199	13	,	,	PUNCT
ejpam-5551	199	14	i+1d	i+1d	PROPN
ejpam-5551	199	15	(	(	PUNCT
ejpam-5551	199	16	k+1	k+1	NOUN
ejpam-5551	199	17	)	)	PUNCT
ejpam-5551	199	18	i+1	i+1	NOUN
ejpam-5551	200	1	=	=	NOUN
ejpam-5551	200	2	−	−	NOUN
ejpam-5551	200	3	i−1∑	i−1∑	NOUN
ejpam-5551	200	4	j=1	j=1	PROPN
ejpam-5551	200	5	ai	ai	VERB
ejpam-5551	200	6	,	,	PUNCT
ejpam-5551	200	7	jd	jd	PROPN
ejpam-5551	200	8	(	(	PUNCT
ejpam-5551	200	9	k+1	k+1	PROPN
ejpam-5551	200	10	)	)	PUNCT
ejpam-5551	200	11	j	j	PROPN
ejpam-5551	200	12	−	−	PROPN
ejpam-5551	201	1	s∑	s∑	PROPN
ejpam-5551	201	2	j	j	PROPN
ejpam-5551	202	1	=	=	PROPN
ejpam-5551	202	2	i+2	i+2	PROPN
ejpam-5551	202	3	ai	ai	VERB
ejpam-5551	202	4	,	,	PUNCT
ejpam-5551	202	5	jd	jd	PROPN
ejpam-5551	202	6	(	(	PUNCT
ejpam-5551	202	7	k	k	PROPN
ejpam-5551	202	8	)	)	PUNCT
ejpam-5551	202	9	j	j	PROPN
ejpam-5551	203	1	+	+	CCONJ
ejpam-5551	203	2	bi	bi	PROPN
ejpam-5551	203	3	,	,	PUNCT
ejpam-5551	203	4	i	i	NOUN
ejpam-5551	203	5	=	=	NOUN
ejpam-5551	203	6	1	1	NUM
ejpam-5551	203	7	,	,	PUNCT
ejpam-5551	203	8	2	2	NUM
ejpam-5551	203	9	,	,	PUNCT
ejpam-5551	203	10	·	·	PUNCT
ejpam-5551	203	11	·	·	PUNCT
ejpam-5551	204	1	·	·	PUNCT
ejpam-5551	204	2	,	,	PUNCT
ejpam-5551	204	3	s.	s.	PROPN
ejpam-5551	204	4	(	(	PUNCT
ejpam-5551	204	5	14	14	NUM
ejpam-5551	204	6	)	)	PUNCT
ejpam-5551	204	7	ai+1,id	ai+1,id	NOUN
ejpam-5551	204	8	(	(	PUNCT
ejpam-5551	204	9	k+1	k+1	NOUN
ejpam-5551	204	10	)	)	PUNCT
ejpam-5551	204	11	i	i	PRON
ejpam-5551	204	12	+	+	CCONJ
ejpam-5551	204	13	ai+1,i+1d	ai+1,i+1d	PROPN
ejpam-5551	204	14	(	(	PUNCT
ejpam-5551	204	15	k+1	k+1	NOUN
ejpam-5551	204	16	)	)	PUNCT
ejpam-5551	204	17	i+1	i+1	NOUN
ejpam-5551	204	18	=	=	SYM
ejpam-5551	204	19	−	−	NOUN
ejpam-5551	204	20	i−1∑	i−1∑	NUM
ejpam-5551	204	21	j=1	j=1	PROPN
ejpam-5551	204	22	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	204	23	(	(	PUNCT
ejpam-5551	204	24	k+1	k+1	NOUN
ejpam-5551	204	25	)	)	PUNCT
ejpam-5551	204	26	j	j	PROPN
ejpam-5551	204	27	−	−	PROPN
ejpam-5551	204	28	s∑	s∑	PROPN
ejpam-5551	204	29	j	j	PROPN
ejpam-5551	204	30	=	=	PROPN
ejpam-5551	204	31	i+2	i+2	PROPN
ejpam-5551	204	32	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	204	33	(	(	PUNCT
ejpam-5551	204	34	k	k	NOUN
ejpam-5551	204	35	)	)	PUNCT
ejpam-5551	204	36	j	j	PROPN
ejpam-5551	205	1	+	+	CCONJ
ejpam-5551	205	2	bi+1	bi+1	X
ejpam-5551	205	3	,	,	PUNCT
ejpam-5551	205	4	i	i	PRON
ejpam-5551	205	5	=	=	NOUN
ejpam-5551	205	6	1	1	NUM
ejpam-5551	205	7	,	,	PUNCT
ejpam-5551	205	8	2	2	NUM
ejpam-5551	205	9	,	,	PUNCT
ejpam-5551	205	10	·	·	PUNCT
ejpam-5551	205	11	·	·	PUNCT
ejpam-5551	205	12	·	·	PUNCT
ejpam-5551	205	13	,	,	PUNCT
ejpam-5551	205	14	s.	s.	PROPN
ejpam-5551	205	15	(	(	PUNCT
ejpam-5551	205	16	15	15	X
ejpam-5551	205	17	)	)	PUNCT
ejpam-5551	205	18	solving	solve	VERB
ejpam-5551	205	19	equations	equation	NOUN
ejpam-5551	205	20	(	(	PUNCT
ejpam-5551	205	21	14	14	NUM
ejpam-5551	205	22	)	)	PUNCT
ejpam-5551	205	23	and	and	CCONJ
ejpam-5551	205	24	(	(	PUNCT
ejpam-5551	205	25	15	15	X
ejpam-5551	205	26	)	)	PUNCT
ejpam-5551	205	27	yields	yield	VERB
ejpam-5551	205	28	the	the	DET
ejpam-5551	205	29	following	follow	VERB
ejpam-5551	205	30	formula	formula	NOUN
ejpam-5551	205	31	for	for	ADP
ejpam-5551	205	32	solving	solve	VERB
ejpam-5551	205	33	the	the	DET
ejpam-5551	205	34	2	2	NUM
ejpam-5551	205	35	-	-	PUNCT
ejpam-5551	205	36	point	point	NOUN
ejpam-5551	205	37	explicit	explicit	ADJ
ejpam-5551	205	38	group	group	NOUN
ejpam-5551	205	39	gauss	gauss	PROPN
ejpam-5551	205	40	-	-	PUNCT
ejpam-5551	205	41	seidel	seidel	PROPN
ejpam-5551	205	42	iterative	iterative	NOUN
ejpam-5551	205	43	method	method	NOUN
ejpam-5551	205	44	component	component	NOUN
ejpam-5551	205	45	of	of	ADP
ejpam-5551	205	46	the	the	DET
ejpam-5551	205	47	linear	linear	ADJ
ejpam-5551	205	48	system	system	NOUN
ejpam-5551	205	49	(	(	PUNCT
ejpam-5551	205	50	11).	11).	NUM
ejpam-5551	205	51	d(0	d(0	NOUN
ejpam-5551	205	52	)	)	PUNCT
ejpam-5551	206	1	=	=	PUNCT
ejpam-5551	206	2	(	(	PUNCT
ejpam-5551	206	3	d	d	X
ejpam-5551	206	4	(	(	PUNCT
ejpam-5551	206	5	0	0	NUM
ejpam-5551	206	6	)	)	PUNCT
ejpam-5551	206	7	1	1	NUM
ejpam-5551	206	8	,	,	PUNCT
ejpam-5551	206	9	d	d	X
ejpam-5551	206	10	(	(	PUNCT
ejpam-5551	206	11	0	0	NUM
ejpam-5551	206	12	)	)	PUNCT
ejpam-5551	206	13	2	2	NUM
ejpam-5551	206	14	,	,	PUNCT
ejpam-5551	206	15	·	·	PUNCT
ejpam-5551	206	16	·	·	PUNCT
ejpam-5551	206	17	·	·	PUNCT
ejpam-5551	206	18	,	,	PUNCT
ejpam-5551	206	19	d(0)i	d(0)i	VERB
ejpam-5551	206	20	,	,	PUNCT
ejpam-5551	206	21	·	·	PUNCT
ejpam-5551	206	22	·	·	PUNCT
ejpam-5551	206	23	·	·	PUNCT
ejpam-5551	206	24	,	,	PUNCT
ejpam-5551	206	25	d(0)s	d(0)s	X
ejpam-5551	206	26	)	)	PUNCT
ejpam-5551	206	27	t	t	NOUN
ejpam-5551	206	28	,	,	PUNCT
ejpam-5551	206	29	d	d	X
ejpam-5551	206	30	(	(	PUNCT
ejpam-5551	206	31	k+1	k+1	NOUN
ejpam-5551	206	32	)	)	PUNCT
ejpam-5551	206	33	i	i	NOUN
ejpam-5551	206	34	=	=	SYM
ejpam-5551	206	35	ai+1,i+1q1−ai	ai+1,i+1q1−ai	NOUN
ejpam-5551	206	36	,	,	PUNCT
ejpam-5551	206	37	i+1q2	i+1q2	PROPN
ejpam-5551	206	38	ω	ω	PROPN
ejpam-5551	206	39	,	,	PUNCT
ejpam-5551	206	40	d	d	X
ejpam-5551	206	41	(	(	PUNCT
ejpam-5551	206	42	k+1	k+1	NOUN
ejpam-5551	206	43	)	)	PUNCT
ejpam-5551	206	44	i+1	i+1	NOUN
ejpam-5551	206	45	=	=	NOUN
ejpam-5551	206	46	−ai+1,iq1+ai	−ai+1,iq1+ai	NOUN
ejpam-5551	206	47	,	,	PUNCT
ejpam-5551	206	48	iq2	iq2	PROPN
ejpam-5551	206	49	ω	ω	PROPN
ejpam-5551	206	50	,	,	PUNCT
ejpam-5551	206	51	q1	q1	PROPN
ejpam-5551	206	52	=	=	PUNCT
ejpam-5551	206	53	−	−	NOUN
ejpam-5551	206	54	∑i−1	∑i−1	NOUN
ejpam-5551	207	1	j=1	j=1	PROPN
ejpam-5551	207	2	ai	ai	VERB
ejpam-5551	207	3	,	,	PUNCT
ejpam-5551	207	4	jd	jd	PROPN
ejpam-5551	207	5	(	(	PUNCT
ejpam-5551	207	6	k+1	k+1	PROPN
ejpam-5551	207	7	)	)	PUNCT
ejpam-5551	207	8	j	j	NOUN
ejpam-5551	208	1	−	−	PROPN
ejpam-5551	208	2	∑s	∑s	PROPN
ejpam-5551	208	3	j	j	PROPN
ejpam-5551	209	1	=	=	PROPN
ejpam-5551	209	2	i+2	i+2	PROPN
ejpam-5551	209	3	ai	ai	VERB
ejpam-5551	209	4	,	,	PUNCT
ejpam-5551	209	5	jd	jd	PROPN
ejpam-5551	209	6	(	(	PUNCT
ejpam-5551	209	7	k	k	PROPN
ejpam-5551	209	8	)	)	PUNCT
ejpam-5551	209	9	j	j	PROPN
ejpam-5551	210	1	+	+	CCONJ
ejpam-5551	210	2	bi	bi	PROPN
ejpam-5551	210	3	,	,	PUNCT
ejpam-5551	210	4	q2	q2	NOUN
ejpam-5551	210	5	=	=	SYM
ejpam-5551	210	6	−	−	PROPN
ejpam-5551	211	1	∑i−1	∑i−1	NOUN
ejpam-5551	211	2	j=1	j=1	PROPN
ejpam-5551	211	3	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	211	4	(	(	PUNCT
ejpam-5551	211	5	k+1	k+1	NOUN
ejpam-5551	211	6	)	)	PUNCT
ejpam-5551	211	7	j	j	NOUN
ejpam-5551	212	1	−	−	PROPN
ejpam-5551	212	2	∑s	∑s	PROPN
ejpam-5551	212	3	j	j	PROPN
ejpam-5551	212	4	=	=	PROPN
ejpam-5551	212	5	i+2	i+2	PROPN
ejpam-5551	212	6	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	212	7	(	(	PUNCT
ejpam-5551	212	8	k	k	NOUN
ejpam-5551	212	9	)	)	PUNCT
ejpam-5551	212	10	j	j	PROPN
ejpam-5551	213	1	+	+	CCONJ
ejpam-5551	213	2	bi+1	bi+1	X
ejpam-5551	213	3	,	,	PUNCT
ejpam-5551	213	4	ω	ω	PROPN
ejpam-5551	213	5	=	=	SYM
ejpam-5551	213	6	ai	ai	PROPN
ejpam-5551	213	7	,	,	PUNCT
ejpam-5551	213	8	iai+1,i+1	iai+1,i+1	ADJ
ejpam-5551	213	9	−	−	NOUN
ejpam-5551	213	10	ai	ai	NOUN
ejpam-5551	213	11	,	,	PUNCT
ejpam-5551	213	12	i+1ai+1,i	i+1ai+1,i	X
ejpam-5551	213	13	,	,	PUNCT
ejpam-5551	213	14	i	i	PRON
ejpam-5551	213	15	=	=	NOUN
ejpam-5551	213	16	1	1	NUM
ejpam-5551	213	17	,	,	PUNCT
ejpam-5551	213	18	2	2	NUM
ejpam-5551	213	19	,	,	PUNCT
ejpam-5551	213	20	·	·	PUNCT
ejpam-5551	213	21	·	·	PUNCT
ejpam-5551	213	22	·	·	PUNCT
ejpam-5551	213	23	,	,	PUNCT
ejpam-5551	213	24	s	s	X
ejpam-5551	213	25	;	;	PUNCT
ejpam-5551	213	26	k	k	X
ejpam-5551	213	27	=	=	SYM
ejpam-5551	213	28	0	0	NUM
ejpam-5551	213	29	,	,	PUNCT
ejpam-5551	213	30	1	1	NUM
ejpam-5551	213	31	,	,	PUNCT
ejpam-5551	213	32	·	·	PUNCT
ejpam-5551	213	33	·	·	PUNCT
ejpam-5551	213	34	·	·	PUNCT
ejpam-5551	213	35	.	.	PUNCT
ejpam-5551	214	1	(	(	PUNCT
ejpam-5551	214	2	16	16	NUM
ejpam-5551	214	3	)	)	PUNCT
ejpam-5551	214	4	so	so	SCONJ
ejpam-5551	214	5	we	we	PRON
ejpam-5551	214	6	get	get	VERB
ejpam-5551	214	7	the	the	DET
ejpam-5551	214	8	iteration	iteration	NOUN
ejpam-5551	214	9	steps	step	NOUN
ejpam-5551	214	10	of	of	ADP
ejpam-5551	214	11	the	the	DET
ejpam-5551	214	12	newton-2eggs	newton-2eggs	NUM
ejpam-5551	214	13	iterative	iterative	NOUN
ejpam-5551	214	14	method	method	NOUN
ejpam-5551	214	15	as	as	SCONJ
ejpam-5551	214	16	follows	follow	VERB
ejpam-5551	214	17	:	:	PUNCT
ejpam-5551	214	18	algorithm	algorithm	NOUN
ejpam-5551	214	19	1	1	NUM
ejpam-5551	214	20	:	:	SYM
ejpam-5551	214	21	newton-2eggs	newton-2eggs	NUM
ejpam-5551	214	22	scheme	scheme	NOUN
ejpam-5551	214	23	i.	i.	NOUN
ejpam-5551	214	24	calculate	calculate	VERB
ejpam-5551	214	25	the	the	DET
ejpam-5551	214	26	expression	expression	NOUN
ejpam-5551	214	27	of	of	ADP
ejpam-5551	214	28	the	the	DET
ejpam-5551	214	29	objective	objective	ADJ
ejpam-5551	214	30	function	function	NOUN
ejpam-5551	214	31	by	by	ADP
ejpam-5551	214	32	using	use	VERB
ejpam-5551	214	33	equation	equation	NOUN
ejpam-5551	214	34	(	(	PUNCT
ejpam-5551	214	35	3	3	NUM
ejpam-5551	214	36	)	)	PUNCT
ejpam-5551	214	37	.	.	PUNCT
ejpam-5551	215	1	ii	ii	PROPN
ejpam-5551	215	2	.	.	PROPN
ejpam-5551	215	3	give	give	VERB
ejpam-5551	215	4	the	the	DET
ejpam-5551	215	5	initial	initial	ADJ
ejpam-5551	215	6	value	value	NOUN
ejpam-5551	215	7	x0	x0	PROPN
ejpam-5551	215	8	and	and	CCONJ
ejpam-5551	215	9	the	the	DET
ejpam-5551	215	10	accuracy	accuracy	NOUN
ejpam-5551	215	11	threshold	threshold	NOUN
ejpam-5551	215	12	ε1	ε1	PROPN
ejpam-5551	215	13	=	=	SYM
ejpam-5551	215	14	10−5	10−5	NUM
ejpam-5551	215	15	,	,	PUNCT
ejpam-5551	215	16	ε2	ε2	PROPN
ejpam-5551	215	17	=	=	SYM
ejpam-5551	215	18	10−10	10−10	PROPN
ejpam-5551	215	19	and	and	CCONJ
ejpam-5551	215	20	let	let	VERB
ejpam-5551	215	21	k	k	NOUN
ejpam-5551	215	22	:	:	PUNCT
ejpam-5551	215	23	=	=	SYM
ejpam-5551	215	24	0	0	X
ejpam-5551	215	25	.	.	X
ejpam-5551	215	26	iii	iii	PROPN
ejpam-5551	215	27	.	.	PROPN
ejpam-5551	215	28	calculate	calculate	NOUN
ejpam-5551	215	29	matrix	matrix	NOUN
ejpam-5551	215	30	gk	gk	PROPN
ejpam-5551	215	31	and	and	CCONJ
ejpam-5551	215	32	gradient	gradient	NOUN
ejpam-5551	215	33	gk	gk	PROPN
ejpam-5551	215	34	if	if	SCONJ
ejpam-5551	215	35	∥gk∥	∥gk∥	PROPN
ejpam-5551	215	36	<	<	X
ejpam-5551	215	37	ε1	ε1	PROPN
ejpam-5551	215	38	,	,	PUNCT
ejpam-5551	215	39	that	that	ADV
ejpam-5551	215	40	is	is	ADV
ejpam-5551	215	41	,	,	PUNCT
ejpam-5551	215	42	the	the	DET
ejpam-5551	215	43	extreme	extreme	ADJ
ejpam-5551	215	44	point	point	NOUN
ejpam-5551	215	45	is	be	AUX
ejpam-5551	215	46	reached	reach	VERB
ejpam-5551	215	47	,	,	PUNCT
ejpam-5551	215	48	the	the	DET
ejpam-5551	215	49	iteration	iteration	NOUN
ejpam-5551	215	50	is	be	AUX
ejpam-5551	215	51	stopped	stop	VERB
ejpam-5551	215	52	,	,	PUNCT
ejpam-5551	215	53	otherwise	otherwise	ADV
ejpam-5551	215	54	,	,	PUNCT
ejpam-5551	215	55	go	go	VERB
ejpam-5551	215	56	to	to	ADP
ejpam-5551	215	57	iv	iv	NUM
ejpam-5551	215	58	.	.	PUNCT
ejpam-5551	216	1	iv	iv	X
ejpam-5551	216	2	.	.	PROPN
ejpam-5551	216	3	calculate	calculate	VERB
ejpam-5551	216	4	the	the	DET
ejpam-5551	216	5	following	follow	VERB
ejpam-5551	216	6	p.	p.	PROPN
ejpam-5551	216	7	cheng	cheng	PROPN
ejpam-5551	216	8	et	et	PROPN
ejpam-5551	216	9	al	al	PROPN
ejpam-5551	216	10	.	.	PUNCT
ejpam-5551	216	11	/	/	SYM
ejpam-5551	216	12	eur	eur	PROPN
ejpam-5551	216	13	.	.	PUNCT
ejpam-5551	217	1	j.	j.	PROPN
ejpam-5551	217	2	pure	pure	PROPN
ejpam-5551	217	3	appl	appl	PROPN
ejpam-5551	217	4	.	.	PROPN
ejpam-5551	217	5	math	math	PROPN
ejpam-5551	217	6	,	,	PUNCT
ejpam-5551	217	7	18	18	NUM
ejpam-5551	217	8	(	(	PUNCT
ejpam-5551	217	9	1	1	NUM
ejpam-5551	217	10	)	)	PUNCT
ejpam-5551	217	11	(	(	PUNCT
ejpam-5551	217	12	2025	2025	NUM
ejpam-5551	217	13	)	)	PUNCT
ejpam-5551	217	14	,	,	PUNCT
ejpam-5551	217	15	5551	5551	NUM
ejpam-5551	217	16	10	10	NUM
ejpam-5551	217	17	of	of	ADP
ejpam-5551	217	18	22	22	NUM
ejpam-5551	217	19	a.	a.	NOUN
ejpam-5551	217	20	calculate	calculate	NOUN
ejpam-5551	217	21	the	the	DET
ejpam-5551	217	22	matrix	matrix	NOUN
ejpam-5551	217	23	d1,l1	d1,l1	PROPN
ejpam-5551	217	24	and	and	CCONJ
ejpam-5551	217	25	u1	u1	PROPN
ejpam-5551	217	26	.	.	PUNCT
ejpam-5551	218	1	b.	b.	PROPN
ejpam-5551	218	2	calculate	calculate	VERB
ejpam-5551	218	3	the	the	DET
ejpam-5551	218	4	search	search	NOUN
ejpam-5551	218	5	direction	direction	NOUN
ejpam-5551	218	6	by	by	ADP
ejpam-5551	218	7	using	use	VERB
ejpam-5551	218	8	equation	equation	NOUN
ejpam-5551	218	9	(	(	PUNCT
ejpam-5551	218	10	16	16	NUM
ejpam-5551	218	11	)	)	PUNCT
ejpam-5551	218	12	.	.	PUNCT
ejpam-5551	219	1	c.	c.	PROPN
ejpam-5551	219	2	calculate	calculate	VERB
ejpam-5551	219	3	the	the	DET
ejpam-5551	219	4	convergence	convergence	NOUN
ejpam-5551	219	5	condition	condition	NOUN
ejpam-5551	219	6	,	,	PUNCT
ejpam-5551	219	7	if	if	SCONJ
ejpam-5551	219	8	∥d(k+1	∥d(k+1	NOUN
ejpam-5551	219	9	)	)	PUNCT
ejpam-5551	219	10	−	−	NOUN
ejpam-5551	219	11	d(k)∥	d(k)∥	NOUN
ejpam-5551	219	12	<	<	X
ejpam-5551	219	13	ε2	ε2	PROPN
ejpam-5551	219	14	,	,	PUNCT
ejpam-5551	219	15	then	then	ADV
ejpam-5551	219	16	go	go	VERB
ejpam-5551	219	17	to	to	PART
ejpam-5551	219	18	step	step	VERB
ejpam-5551	219	19	v	v	NOUN
ejpam-5551	219	20	,	,	PUNCT
ejpam-5551	219	21	otherwise	otherwise	ADV
ejpam-5551	219	22	go	go	VERB
ejpam-5551	219	23	to	to	PART
ejpam-5551	219	24	step	step	VERB
ejpam-5551	219	25	iv(b	iv(b	PUNCT
ejpam-5551	219	26	)	)	PUNCT
ejpam-5551	219	27	.	.	PUNCT
ejpam-5551	220	1	v.	v.	CCONJ
ejpam-5551	220	2	calculate	calculate	VERB
ejpam-5551	220	3	the	the	DET
ejpam-5551	220	4	new	new	ADJ
ejpam-5551	220	5	iteration	iteration	NOUN
ejpam-5551	220	6	point	point	NOUN
ejpam-5551	220	7	as	as	ADP
ejpam-5551	220	8	x(k+1	x(k+1	NOUN
ejpam-5551	220	9	)	)	PUNCT
ejpam-5551	220	10	=	=	PUNCT
ejpam-5551	221	1	x(k	x(k	PROPN
ejpam-5551	221	2	)	)	PUNCT
ejpam-5551	221	3	+	+	CCONJ
ejpam-5551	221	4	αkd	αkd	NOUN
ejpam-5551	221	5	(	(	PUNCT
ejpam-5551	221	6	k	k	NOUN
ejpam-5551	221	7	)	)	PUNCT
ejpam-5551	221	8	.	.	PUNCT
ejpam-5551	222	1	vi	vi	X
ejpam-5551	222	2	.	.	PUNCT
ejpam-5551	222	3	let	let	VERB
ejpam-5551	222	4	k	k	NOUN
ejpam-5551	222	5	=	=	PUNCT
ejpam-5551	223	1	k	k	PROPN
ejpam-5551	224	1	+	+	PROPN
ejpam-5551	224	2	1	1	NUM
ejpam-5551	224	3	,	,	PUNCT
ejpam-5551	224	4	go	go	VERB
ejpam-5551	224	5	to	to	PART
ejpam-5551	224	6	step	step	VERB
ejpam-5551	224	7	iii	iii	NOUN
ejpam-5551	224	8	.	.	PROPN
ejpam-5551	224	9	3.2	3.2	NUM
ejpam-5551	224	10	.	.	PUNCT
ejpam-5551	225	1	formulation	formulation	NOUN
ejpam-5551	225	2	of	of	ADP
ejpam-5551	225	3	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	225	4	similar	similar	ADJ
ejpam-5551	225	5	to	to	ADP
ejpam-5551	225	6	the	the	DET
ejpam-5551	225	7	2eggs	2eggs	NUM
ejpam-5551	225	8	iterative	iterative	NOUN
ejpam-5551	225	9	method	method	NOUN
ejpam-5551	225	10	,	,	PUNCT
ejpam-5551	225	11	we	we	PRON
ejpam-5551	225	12	decompose	decompose	VERB
ejpam-5551	225	13	the	the	DET
ejpam-5551	225	14	matrix	matrix	NOUN
ejpam-5551	225	15	,	,	PUNCT
ejpam-5551	225	16	a	a	PRON
ejpam-5551	225	17	as	as	ADP
ejpam-5551	225	18	a	a	DET
ejpam-5551	225	19	=	=	SYM
ejpam-5551	225	20	d2	d2	PROPN
ejpam-5551	225	21	−	−	PROPN
ejpam-5551	225	22	l2	l2	NOUN
ejpam-5551	225	23	−	−	NOUN
ejpam-5551	225	24	u2	u2	NOUN
ejpam-5551	225	25	,	,	PUNCT
ejpam-5551	225	26	where	where	SCONJ
ejpam-5551	225	27	d2	d2	NOUN
ejpam-5551	225	28	=	=	PUNCT
ejpam-5551	225	29			NOUN
ejpam-5551	225	30	v1	v1	PROPN
ejpam-5551	225	31	0	0	NUM
ejpam-5551	225	32	·	·	PUNCT
ejpam-5551	225	33	·	·	PUNCT
ejpam-5551	225	34	·	·	PUNCT
ejpam-5551	225	35	0	0	NUM
ejpam-5551	225	36	·	·	PUNCT
ejpam-5551	225	37	·	·	PUNCT
ejpam-5551	225	38	·	·	PUNCT
ejpam-5551	226	1	0	0	NUM
ejpam-5551	226	2	0	0	NUM
ejpam-5551	227	1	v2	v2	PROPN
ejpam-5551	227	2	·	·	PUNCT
ejpam-5551	227	3	·	·	PUNCT
ejpam-5551	227	4	·	·	PUNCT
ejpam-5551	227	5	0	0	NUM
ejpam-5551	227	6	·	·	PUNCT
ejpam-5551	227	7	·	·	PUNCT
ejpam-5551	227	8	·	·	PUNCT
ejpam-5551	227	9	0	0	NUM
ejpam-5551	227	10	...	...	PUNCT
ejpam-5551	227	11	...	...	PUNCT
ejpam-5551	227	12	.	.	PUNCT
ejpam-5551	227	13	.	.	PUNCT
ejpam-5551	227	14	.	.	PUNCT
ejpam-5551	227	15	...	...	PUNCT
ejpam-5551	227	16	.	.	PUNCT
ejpam-5551	227	17	.	.	PUNCT
ejpam-5551	227	18	.	.	PUNCT
ejpam-5551	228	1	...	...	PUNCT
ejpam-5551	229	1	0	0	NUM
ejpam-5551	229	2	0	0	NUM
ejpam-5551	229	3	·	·	PUNCT
ejpam-5551	229	4	·	·	PUNCT
ejpam-5551	229	5	·	·	PUNCT
ejpam-5551	229	6	vi	vi	X
ejpam-5551	229	7	·	·	PUNCT
ejpam-5551	229	8	·	·	PUNCT
ejpam-5551	229	9	·	·	PUNCT
ejpam-5551	229	10	0	0	NUM
ejpam-5551	229	11	...	...	PUNCT
ejpam-5551	229	12	...	...	PUNCT
ejpam-5551	229	13	.	.	PUNCT
ejpam-5551	229	14	.	.	PUNCT
ejpam-5551	229	15	.	.	PUNCT
ejpam-5551	229	16	...	...	PUNCT
ejpam-5551	229	17	.	.	PUNCT
ejpam-5551	229	18	.	.	PUNCT
ejpam-5551	229	19	.	.	PUNCT
ejpam-5551	230	1	...	...	PUNCT
ejpam-5551	231	1	0	0	NUM
ejpam-5551	231	2	0	0	NUM
ejpam-5551	231	3	·	·	PUNCT
ejpam-5551	231	4	·	·	PUNCT
ejpam-5551	231	5	·	·	PUNCT
ejpam-5551	231	6	0	0	NUM
ejpam-5551	231	7	·	·	PUNCT
ejpam-5551	231	8	·	·	PUNCT
ejpam-5551	231	9	·	·	PUNCT
ejpam-5551	232	1	vq	vq	PROPN
ejpam-5551	232	2			NUM
ejpam-5551	232	3	,	,	PUNCT
ejpam-5551	232	4	l2	l2	NOUN
ejpam-5551	232	5	=	=	SYM
ejpam-5551	232	6	−	−	PROPN
ejpam-5551	232	7			NOUN
ejpam-5551	232	8	0	0	NUM
ejpam-5551	232	9	0	0	NUM
ejpam-5551	232	10	·	·	PUNCT
ejpam-5551	232	11	·	·	PUNCT
ejpam-5551	232	12	·	·	PUNCT
ejpam-5551	232	13	0	0	NUM
ejpam-5551	232	14	·	·	PUNCT
ejpam-5551	232	15	·	·	PUNCT
ejpam-5551	232	16	·	·	PUNCT
ejpam-5551	232	17	0	0	PUNCT
ejpam-5551	233	1	w2,1	w2,1	ADP
ejpam-5551	233	2	0	0	NUM
ejpam-5551	233	3	·	·	PUNCT
ejpam-5551	233	4	·	·	PUNCT
ejpam-5551	233	5	·	·	PUNCT
ejpam-5551	233	6	0	0	NUM
ejpam-5551	233	7	·	·	PUNCT
ejpam-5551	233	8	·	·	PUNCT
ejpam-5551	233	9	·	·	PUNCT
ejpam-5551	233	10	0	0	NUM
ejpam-5551	233	11	...	...	PUNCT
ejpam-5551	233	12	...	...	PUNCT
ejpam-5551	233	13	.	.	PUNCT
ejpam-5551	233	14	.	.	PUNCT
ejpam-5551	233	15	.	.	PUNCT
ejpam-5551	233	16	...	...	PUNCT
ejpam-5551	233	17	.	.	PUNCT
ejpam-5551	233	18	.	.	PUNCT
ejpam-5551	233	19	.	.	PUNCT
ejpam-5551	233	20	...	...	PUNCT
ejpam-5551	234	1	wi,1	wi,1	PROPN
ejpam-5551	234	2	wi,2	wi,2	PROPN
ejpam-5551	234	3	·	·	PUNCT
ejpam-5551	234	4	·	·	PUNCT
ejpam-5551	234	5	·	·	PUNCT
ejpam-5551	234	6	0	0	NUM
ejpam-5551	234	7	·	·	PUNCT
ejpam-5551	234	8	·	·	PUNCT
ejpam-5551	234	9	·	·	PUNCT
ejpam-5551	234	10	0	0	NUM
ejpam-5551	234	11	...	...	PUNCT
ejpam-5551	234	12	...	...	PUNCT
ejpam-5551	234	13	.	.	PUNCT
ejpam-5551	234	14	.	.	PUNCT
ejpam-5551	234	15	.	.	PUNCT
ejpam-5551	234	16	...	...	PUNCT
ejpam-5551	234	17	.	.	PUNCT
ejpam-5551	234	18	.	.	PUNCT
ejpam-5551	234	19	.	.	PUNCT
ejpam-5551	235	1	...	...	PUNCT
ejpam-5551	236	1	wq,1	wq,1	X
ejpam-5551	236	2	wq,2	wq,2	PUNCT
ejpam-5551	236	3	·	·	PUNCT
ejpam-5551	236	4	·	·	PUNCT
ejpam-5551	236	5	·	·	PUNCT
ejpam-5551	236	6	wq	wq	INTJ
ejpam-5551	236	7	,	,	PUNCT
ejpam-5551	236	8	i	i	PRON
ejpam-5551	236	9	·	·	PUNCT
ejpam-5551	236	10	·	·	PUNCT
ejpam-5551	236	11	·	·	PUNCT
ejpam-5551	236	12	0	0	NUM
ejpam-5551	236	13			NUM
ejpam-5551	236	14	,	,	PUNCT
ejpam-5551	236	15	u2	u2	PROPN
ejpam-5551	236	16	=	=	PUNCT
ejpam-5551	236	17	−	−	PROPN
ejpam-5551	236	18			NOUN
ejpam-5551	236	19	0	0	PUNCT
ejpam-5551	236	20	w1,2	w1,2	PROPN
ejpam-5551	236	21	·	·	PUNCT
ejpam-5551	236	22	·	·	PUNCT
ejpam-5551	237	1	·	·	PUNCT
ejpam-5551	237	2	w1,i	w1,i	VERB
ejpam-5551	237	3	·	·	PUNCT
ejpam-5551	237	4	·	·	PUNCT
ejpam-5551	237	5	·	·	PUNCT
ejpam-5551	238	1	w1,q	w1,q	NOUN
ejpam-5551	238	2	0	0	NUM
ejpam-5551	238	3	0	0	NUM
ejpam-5551	238	4	·	·	PUNCT
ejpam-5551	238	5	·	·	PUNCT
ejpam-5551	238	6	·	·	PUNCT
ejpam-5551	239	1	w2,i	w2,i	PROPN
ejpam-5551	239	2	·	·	PUNCT
ejpam-5551	239	3	·	·	PUNCT
ejpam-5551	239	4	·	·	PUNCT
ejpam-5551	239	5	w2,q	w2,q	PROPN
ejpam-5551	239	6	...	...	PUNCT
ejpam-5551	239	7	...	...	PUNCT
ejpam-5551	239	8	.	.	PUNCT
ejpam-5551	239	9	.	.	PUNCT
ejpam-5551	239	10	.	.	PUNCT
ejpam-5551	239	11	...	...	PUNCT
ejpam-5551	239	12	.	.	PUNCT
ejpam-5551	239	13	.	.	PUNCT
ejpam-5551	239	14	.	.	PUNCT
ejpam-5551	240	1	...	...	PUNCT
ejpam-5551	241	1	0	0	NUM
ejpam-5551	241	2	0	0	NUM
ejpam-5551	241	3	·	·	PUNCT
ejpam-5551	241	4	·	·	PUNCT
ejpam-5551	241	5	·	·	PUNCT
ejpam-5551	241	6	0	0	NUM
ejpam-5551	242	1	·	·	PUNCT
ejpam-5551	242	2	·	·	PUNCT
ejpam-5551	242	3	·	·	PUNCT
ejpam-5551	242	4	wi	wi	PROPN
ejpam-5551	242	5	,	,	PUNCT
ejpam-5551	242	6	q	q	X
ejpam-5551	242	7	...	...	PUNCT
ejpam-5551	242	8	...	...	PUNCT
ejpam-5551	242	9	.	.	PUNCT
ejpam-5551	242	10	.	.	PUNCT
ejpam-5551	242	11	.	.	PUNCT
ejpam-5551	242	12	...	...	PUNCT
ejpam-5551	242	13	.	.	PUNCT
ejpam-5551	242	14	.	.	PUNCT
ejpam-5551	242	15	.	.	PUNCT
ejpam-5551	243	1	...	...	PUNCT
ejpam-5551	244	1	0	0	NUM
ejpam-5551	244	2	0	0	NUM
ejpam-5551	244	3	·	·	PUNCT
ejpam-5551	244	4	·	·	PUNCT
ejpam-5551	244	5	·	·	PUNCT
ejpam-5551	244	6	0	0	NUM
ejpam-5551	244	7	·	·	PUNCT
ejpam-5551	244	8	·	·	PUNCT
ejpam-5551	244	9	·	·	PUNCT
ejpam-5551	244	10	0	0	NUM
ejpam-5551	245	1			NUM
ejpam-5551	245	2	,	,	PUNCT
ejpam-5551	245	3	vi	vi	PROPN
ejpam-5551	245	4	,	,	PUNCT
ejpam-5551	245	5	i	i	PRON
ejpam-5551	245	6	=	=	NOUN
ejpam-5551	245	7			NOUN
ejpam-5551	245	8	ai	ai	AUX
ejpam-5551	245	9	,	,	PUNCT
ejpam-5551	245	10	i	i	PRON
ejpam-5551	245	11	ai	ai	VERB
ejpam-5551	245	12	,	,	PUNCT
ejpam-5551	245	13	i+1	i+1	ADV
ejpam-5551	245	14	ai	ai	VERB
ejpam-5551	245	15	,	,	PUNCT
ejpam-5551	245	16	i+2	i+2	PROPN
ejpam-5551	245	17	ai	ai	PROPN
ejpam-5551	245	18	,	,	PUNCT
ejpam-5551	245	19	i+3	i+3	PART
ejpam-5551	245	20	ai+1,i	ai+1,i	PROPN
ejpam-5551	245	21	ai+1,i+1	ai+1,i+1	X
ejpam-5551	245	22	ai+1,i+2	ai+1,i+2	X
ejpam-5551	245	23	ai+1,i+3	ai+1,i+3	X
ejpam-5551	245	24	ai+2,i	ai+2,i	PROPN
ejpam-5551	245	25	ai+2,i+1	ai+2,i+1	X
ejpam-5551	246	1	ai+2,i+2	ai+2,i+2	NOUN
ejpam-5551	246	2	ai+2,i+3	ai+2,i+3	VERB
ejpam-5551	246	3	ai+3,i	ai+3,i	PROPN
ejpam-5551	246	4	ai+3,i+1	ai+3,i+1	X
ejpam-5551	246	5	ai+3,i+2	ai+3,i+2	ADV
ejpam-5551	246	6	ai+3,i+3	ai+3,i+3	VERB
ejpam-5551	246	7			PROPN
ejpam-5551	246	8	,	,	PUNCT
ejpam-5551	246	9	wi	wi	PROPN
ejpam-5551	246	10	,	,	PUNCT
ejpam-5551	246	11	j	j	PROPN
ejpam-5551	246	12	=	=	SYM
ejpam-5551	246	13			NOUN
ejpam-5551	246	14	ai	ai	AUX
ejpam-5551	246	15	,	,	PUNCT
ejpam-5551	246	16	s−3	s−3	PROPN
ejpam-5551	246	17	ai	ai	VERB
ejpam-5551	246	18	,	,	PUNCT
ejpam-5551	246	19	s−2	s−2	PROPN
ejpam-5551	246	20	ai	ai	VERB
ejpam-5551	246	21	,	,	PUNCT
ejpam-5551	246	22	s−1	s−1	PROPN
ejpam-5551	246	23	ai	ai	VERB
ejpam-5551	246	24	,	,	PUNCT
ejpam-5551	246	25	s	s	PART
ejpam-5551	246	26	ai+1,s−3	ai+1,s−3	NOUN
ejpam-5551	246	27	ai+1,s−2	ai+1,s−2	NOUN
ejpam-5551	246	28	ai+1,s−1	ai+1,s−1	NOUN
ejpam-5551	246	29	ai+1,s	ai+1,s	PROPN
ejpam-5551	246	30	ai+2,s−3	ai+2,s−3	NOUN
ejpam-5551	246	31	ai+2,s−2	ai+2,s−2	VERB
ejpam-5551	246	32	ai+2,s−1	ai+2,s−1	NOUN
ejpam-5551	246	33	ai+2,s	ai+2,s	PROPN
ejpam-5551	246	34	ai+3,s−3	ai+3,s−3	PROPN
ejpam-5551	246	35	ai+3,s−2	ai+3,s−2	VERB
ejpam-5551	246	36	ai+3,s−1	ai+3,s−1	ADP
ejpam-5551	246	37	ai+3,s	ai+3,s	PROPN
ejpam-5551	246	38			PROPN
ejpam-5551	246	39	.	.	PUNCT
ejpam-5551	247	1	if	if	SCONJ
ejpam-5551	247	2	there	there	PRON
ejpam-5551	247	3	are	be	VERB
ejpam-5551	247	4	less	less	ADJ
ejpam-5551	247	5	than	than	ADP
ejpam-5551	247	6	16	16	NUM
ejpam-5551	247	7	elements	element	NOUN
ejpam-5551	247	8	inside	inside	ADP
ejpam-5551	247	9	the	the	DET
ejpam-5551	247	10	final	final	ADJ
ejpam-5551	247	11	modular	modular	ADJ
ejpam-5551	247	12	matrix	matrix	NOUN
ejpam-5551	247	13	vq	vq	NOUN
ejpam-5551	247	14	,	,	PUNCT
ejpam-5551	247	15	then	then	ADV
ejpam-5551	247	16	the	the	DET
ejpam-5551	247	17	actual	actual	ADJ
ejpam-5551	247	18	possession	possession	NOUN
ejpam-5551	247	19	will	will	AUX
ejpam-5551	247	20	prevail	prevail	VERB
ejpam-5551	247	21	.	.	PUNCT
ejpam-5551	248	1	so	so	ADV
ejpam-5551	248	2	the	the	DET
ejpam-5551	248	3	4	4	NUM
ejpam-5551	248	4	-	-	PUNCT
ejpam-5551	248	5	point	point	NOUN
ejpam-5551	248	6	explicit	explicit	ADJ
ejpam-5551	248	7	group	group	NOUN
ejpam-5551	248	8	gauss	gauss	PROPN
ejpam-5551	248	9	-	-	PUNCT
ejpam-5551	248	10	seidel	seidel	PROPN
ejpam-5551	248	11	iterative	iterative	NOUN
ejpam-5551	248	12	method	method	NOUN
ejpam-5551	248	13	for	for	ADP
ejpam-5551	248	14	solving	solve	VERB
ejpam-5551	248	15	the	the	DET
ejpam-5551	248	16	linear	linear	ADJ
ejpam-5551	248	17	system	system	NOUN
ejpam-5551	248	18	(	(	PUNCT
ejpam-5551	248	19	11	11	NUM
ejpam-5551	248	20	)	)	PUNCT
ejpam-5551	248	21	is	be	AUX
ejpam-5551	248	22	as	as	SCONJ
ejpam-5551	248	23	follows	follow	VERB
ejpam-5551	248	24	.	.	PUNCT
ejpam-5551	249	1	{	{	PUNCT
ejpam-5551	249	2	d(0)(initial	d(0)(initial	ADJ
ejpam-5551	249	3	vector	vector	NOUN
ejpam-5551	249	4	)	)	PUNCT
ejpam-5551	249	5	,	,	PUNCT
ejpam-5551	249	6	d(k+1	d(k+1	NOUN
ejpam-5551	249	7	)	)	PUNCT
ejpam-5551	249	8	=	=	SYM
ejpam-5551	250	1	(	(	PUNCT
ejpam-5551	250	2	d2	d2	PROPN
ejpam-5551	250	3	−	−	PROPN
ejpam-5551	250	4	l2	l2	NOUN
ejpam-5551	250	5	)	)	PUNCT
ejpam-5551	250	6	−1u2d	−1u2d	NOUN
ejpam-5551	250	7	(	(	PUNCT
ejpam-5551	250	8	k	k	NOUN
ejpam-5551	250	9	)	)	PUNCT
ejpam-5551	250	10	+	+	CCONJ
ejpam-5551	250	11	(	(	PUNCT
ejpam-5551	250	12	d2	d2	PROPN
ejpam-5551	250	13	−	−	PROPN
ejpam-5551	250	14	l2	l2	NOUN
ejpam-5551	250	15	)	)	PUNCT
ejpam-5551	251	1	−1b	−1b	PROPN
ejpam-5551	251	2	,	,	PUNCT
ejpam-5551	251	3	k	k	PROPN
ejpam-5551	251	4	=	=	SYM
ejpam-5551	251	5	0	0	NUM
ejpam-5551	251	6	,	,	PUNCT
ejpam-5551	251	7	1	1	NUM
ejpam-5551	251	8	,	,	PUNCT
ejpam-5551	251	9	·	·	PUNCT
ejpam-5551	251	10	·	·	PUNCT
ejpam-5551	251	11	·	·	PUNCT
ejpam-5551	251	12	.	.	PUNCT
ejpam-5551	252	1	(	(	PUNCT
ejpam-5551	252	2	17	17	NUM
ejpam-5551	252	3	)	)	PUNCT
ejpam-5551	252	4	the	the	DET
ejpam-5551	252	5	formula	formula	NOUN
ejpam-5551	252	6	for	for	ADP
ejpam-5551	252	7	calculating	calculate	VERB
ejpam-5551	252	8	its	its	PRON
ejpam-5551	252	9	components	component	NOUN
ejpam-5551	252	10	is	be	AUX
ejpam-5551	252	11	(	(	PUNCT
ejpam-5551	252	12	13	13	NUM
ejpam-5551	252	13	)	)	PUNCT
ejpam-5551	252	14	.	.	PUNCT
ejpam-5551	253	1	from	from	ADP
ejpam-5551	253	2	equation	equation	NOUN
ejpam-5551	253	3	(	(	PUNCT
ejpam-5551	253	4	17	17	NUM
ejpam-5551	253	5	)	)	PUNCT
ejpam-5551	253	6	we	we	PRON
ejpam-5551	253	7	have	have	AUX
ejpam-5551	253	8	d2d	d2d	NOUN
ejpam-5551	253	9	(	(	PUNCT
ejpam-5551	253	10	k+1	k+1	NOUN
ejpam-5551	253	11	)	)	PUNCT
ejpam-5551	253	12	=	=	SYM
ejpam-5551	253	13	l2d	l2d	NOUN
ejpam-5551	253	14	(	(	PUNCT
ejpam-5551	253	15	k	k	NOUN
ejpam-5551	253	16	)	)	PUNCT
ejpam-5551	254	1	+	+	CCONJ
ejpam-5551	254	2	u2d	u2d	PROPN
ejpam-5551	254	3	(	(	PUNCT
ejpam-5551	254	4	k	k	NOUN
ejpam-5551	254	5	)	)	PUNCT
ejpam-5551	254	6	+	+	NOUN
ejpam-5551	254	7	b	b	X
ejpam-5551	254	8	,	,	PUNCT
ejpam-5551	254	9	p.	p.	PROPN
ejpam-5551	255	1	cheng	cheng	PROPN
ejpam-5551	255	2	et	et	PROPN
ejpam-5551	255	3	al	al	PROPN
ejpam-5551	255	4	.	.	PUNCT
ejpam-5551	255	5	/	/	SYM
ejpam-5551	255	6	eur	eur	PROPN
ejpam-5551	255	7	.	.	PUNCT
ejpam-5551	256	1	j.	j.	PROPN
ejpam-5551	256	2	pure	pure	PROPN
ejpam-5551	256	3	appl	appl	PROPN
ejpam-5551	256	4	.	.	PROPN
ejpam-5551	256	5	math	math	PROPN
ejpam-5551	256	6	,	,	PUNCT
ejpam-5551	256	7	18	18	NUM
ejpam-5551	256	8	(	(	PUNCT
ejpam-5551	256	9	1	1	NUM
ejpam-5551	256	10	)	)	PUNCT
ejpam-5551	256	11	(	(	PUNCT
ejpam-5551	256	12	2025	2025	NUM
ejpam-5551	256	13	)	)	PUNCT
ejpam-5551	256	14	,	,	PUNCT
ejpam-5551	256	15	5551	5551	NUM
ejpam-5551	256	16	11	11	NUM
ejpam-5551	256	17	of	of	ADP
ejpam-5551	256	18	22	22	NUM
ejpam-5551	256	19	i.e.	i.e.	X
ejpam-5551	256	20	i+3∑	i+3∑	PROPN
ejpam-5551	256	21	j	j	PROPN
ejpam-5551	257	1	=	=	PROPN
ejpam-5551	257	2	i	i	PRON
ejpam-5551	257	3	ai	ai	VERB
ejpam-5551	257	4	,	,	PUNCT
ejpam-5551	257	5	jd	jd	PROPN
ejpam-5551	257	6	(	(	PUNCT
ejpam-5551	257	7	k+1	k+1	PROPN
ejpam-5551	257	8	)	)	PUNCT
ejpam-5551	257	9	j	j	NOUN
ejpam-5551	257	10	=	=	SYM
ejpam-5551	257	11	−	−	PROPN
ejpam-5551	257	12	i−1∑	i−1∑	NOUN
ejpam-5551	257	13	j=1	j=1	PROPN
ejpam-5551	257	14	ai	ai	VERB
ejpam-5551	257	15	,	,	PUNCT
ejpam-5551	257	16	jd	jd	PROPN
ejpam-5551	257	17	(	(	PUNCT
ejpam-5551	257	18	k+1	k+1	PROPN
ejpam-5551	257	19	)	)	PUNCT
ejpam-5551	257	20	j	j	PROPN
ejpam-5551	257	21	−	−	PROPN
ejpam-5551	258	1	s∑	s∑	PROPN
ejpam-5551	258	2	j	j	X
ejpam-5551	259	1	=	=	PROPN
ejpam-5551	259	2	i+4	i+4	NUM
ejpam-5551	259	3	ai	ai	PROPN
ejpam-5551	259	4	,	,	PUNCT
ejpam-5551	259	5	jd	jd	PROPN
ejpam-5551	259	6	(	(	PUNCT
ejpam-5551	259	7	k+1	k+1	PROPN
ejpam-5551	259	8	)	)	PUNCT
ejpam-5551	259	9	j	j	PROPN
ejpam-5551	260	1	+	+	CCONJ
ejpam-5551	260	2	bi	bi	PROPN
ejpam-5551	260	3	,	,	PUNCT
ejpam-5551	260	4	(	(	PUNCT
ejpam-5551	260	5	18	18	NUM
ejpam-5551	260	6	)	)	PUNCT
ejpam-5551	260	7	i+3∑	i+3∑	PROPN
ejpam-5551	260	8	j	j	PROPN
ejpam-5551	261	1	=	=	PROPN
ejpam-5551	261	2	i	i	PROPN
ejpam-5551	261	3	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	261	4	(	(	PUNCT
ejpam-5551	261	5	k+1	k+1	NOUN
ejpam-5551	261	6	)	)	PUNCT
ejpam-5551	261	7	j	j	NOUN
ejpam-5551	261	8	=	=	SYM
ejpam-5551	262	1	−	−	PROPN
ejpam-5551	262	2	i−1∑	i−1∑	NUM
ejpam-5551	262	3	j=1	j=1	PROPN
ejpam-5551	262	4	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	262	5	(	(	PUNCT
ejpam-5551	262	6	k+1	k+1	NOUN
ejpam-5551	262	7	)	)	PUNCT
ejpam-5551	262	8	j	j	PROPN
ejpam-5551	262	9	−	−	PROPN
ejpam-5551	263	1	s∑	s∑	PROPN
ejpam-5551	263	2	j	j	X
ejpam-5551	263	3	=	=	PROPN
ejpam-5551	263	4	i+4	i+4	PROPN
ejpam-5551	263	5	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	263	6	(	(	PUNCT
ejpam-5551	263	7	k+1	k+1	NOUN
ejpam-5551	263	8	)	)	PUNCT
ejpam-5551	263	9	j	j	NOUN
ejpam-5551	263	10	+	+	CCONJ
ejpam-5551	263	11	bi+1	bi+1	NOUN
ejpam-5551	263	12	,	,	PUNCT
ejpam-5551	263	13	(	(	PUNCT
ejpam-5551	263	14	19	19	NUM
ejpam-5551	263	15	)	)	PUNCT
ejpam-5551	263	16	i+3∑	i+3∑	PROPN
ejpam-5551	263	17	j	j	PROPN
ejpam-5551	264	1	=	=	NOUN
ejpam-5551	264	2	i	i	PROPN
ejpam-5551	264	3	ai+2,jd	ai+2,jd	PROPN
ejpam-5551	264	4	(	(	PUNCT
ejpam-5551	264	5	k+1	k+1	NOUN
ejpam-5551	264	6	)	)	PUNCT
ejpam-5551	264	7	j	j	NOUN
ejpam-5551	264	8	=	=	SYM
ejpam-5551	264	9	−	−	PROPN
ejpam-5551	264	10	i−1∑	i−1∑	NOUN
ejpam-5551	264	11	j=1	j=1	NOUN
ejpam-5551	264	12	ai+2,jd	ai+2,jd	PROPN
ejpam-5551	264	13	(	(	PUNCT
ejpam-5551	264	14	k+1	k+1	NOUN
ejpam-5551	264	15	)	)	PUNCT
ejpam-5551	264	16	j	j	PROPN
ejpam-5551	264	17	−	−	PROPN
ejpam-5551	264	18	s∑	s∑	PROPN
ejpam-5551	264	19	j	j	X
ejpam-5551	264	20	=	=	PROPN
ejpam-5551	264	21	i+4	i+4	PROPN
ejpam-5551	264	22	ai+2,jd	ai+2,jd	PROPN
ejpam-5551	264	23	(	(	PUNCT
ejpam-5551	264	24	k+1	k+1	NOUN
ejpam-5551	264	25	)	)	PUNCT
ejpam-5551	264	26	j	j	NOUN
ejpam-5551	264	27	+	+	CCONJ
ejpam-5551	264	28	bi+2	bi+2	NUM
ejpam-5551	264	29	,	,	PUNCT
ejpam-5551	264	30	(	(	PUNCT
ejpam-5551	264	31	20	20	NUM
ejpam-5551	264	32	)	)	PUNCT
ejpam-5551	264	33	i+3∑	i+3∑	PROPN
ejpam-5551	264	34	j	j	PROPN
ejpam-5551	265	1	=	=	NOUN
ejpam-5551	265	2	i	i	PRON
ejpam-5551	265	3	ai+3,jd	ai+3,jd	PROPN
ejpam-5551	265	4	(	(	PUNCT
ejpam-5551	265	5	k+1	k+1	NOUN
ejpam-5551	265	6	)	)	PUNCT
ejpam-5551	265	7	j	j	NOUN
ejpam-5551	265	8	=	=	SYM
ejpam-5551	266	1	−	−	PROPN
ejpam-5551	266	2	i−1∑	i−1∑	NUM
ejpam-5551	266	3	j=1	j=1	PROPN
ejpam-5551	266	4	ai+3,jd	ai+3,jd	PROPN
ejpam-5551	266	5	(	(	PUNCT
ejpam-5551	266	6	k+1	k+1	NOUN
ejpam-5551	266	7	)	)	PUNCT
ejpam-5551	266	8	j	j	PROPN
ejpam-5551	266	9	−	−	PROPN
ejpam-5551	266	10	s∑	s∑	PROPN
ejpam-5551	266	11	j	j	X
ejpam-5551	266	12	=	=	PROPN
ejpam-5551	266	13	i+4	i+4	PROPN
ejpam-5551	266	14	ai+3,jd	ai+3,jd	PROPN
ejpam-5551	266	15	(	(	PUNCT
ejpam-5551	266	16	k+1	k+1	NOUN
ejpam-5551	266	17	)	)	PUNCT
ejpam-5551	266	18	j	j	PROPN
ejpam-5551	266	19	+	+	PROPN
ejpam-5551	266	20	bi+3	bi+3	NOUN
ejpam-5551	266	21	,	,	PUNCT
ejpam-5551	266	22	(	(	PUNCT
ejpam-5551	266	23	21	21	NUM
ejpam-5551	266	24	)	)	PUNCT
ejpam-5551	266	25	solving	solve	VERB
ejpam-5551	266	26	equations	equation	NOUN
ejpam-5551	266	27	(	(	PUNCT
ejpam-5551	266	28	18)-(21	18)-(21	NUM
ejpam-5551	266	29	)	)	PUNCT
ejpam-5551	266	30	yields	yields	PROPN
ejpam-5551	266	31	d(0	d(0	PROPN
ejpam-5551	266	32	)	)	PUNCT
ejpam-5551	266	33	=	=	PUNCT
ejpam-5551	267	1	(	(	PUNCT
ejpam-5551	267	2	d	d	X
ejpam-5551	267	3	(	(	PUNCT
ejpam-5551	267	4	0	0	NUM
ejpam-5551	267	5	)	)	PUNCT
ejpam-5551	267	6	1	1	NUM
ejpam-5551	267	7	,	,	PUNCT
ejpam-5551	267	8	d	d	X
ejpam-5551	267	9	(	(	PUNCT
ejpam-5551	267	10	0	0	NUM
ejpam-5551	267	11	)	)	PUNCT
ejpam-5551	267	12	2	2	NUM
ejpam-5551	267	13	,	,	PUNCT
ejpam-5551	267	14	·	·	PUNCT
ejpam-5551	267	15	·	·	PUNCT
ejpam-5551	267	16	·	·	PUNCT
ejpam-5551	267	17	,	,	PUNCT
ejpam-5551	267	18	d(0)i	d(0)i	VERB
ejpam-5551	267	19	,	,	PUNCT
ejpam-5551	267	20	·	·	PUNCT
ejpam-5551	267	21	·	·	PUNCT
ejpam-5551	267	22	·	·	PUNCT
ejpam-5551	267	23	,	,	PUNCT
ejpam-5551	267	24	d(0)s	d(0)s	X
ejpam-5551	267	25	)	)	PUNCT
ejpam-5551	267	26	t	t	NOUN
ejpam-5551	267	27	,	,	PUNCT
ejpam-5551	267	28	d	d	X
ejpam-5551	267	29	(	(	PUNCT
ejpam-5551	267	30	k+1	k+1	NOUN
ejpam-5551	267	31	)	)	PUNCT
ejpam-5551	267	32	i	i	PROPN
ejpam-5551	267	33	=	=	SYM
ejpam-5551	267	34	b1	b1	PROPN
ejpam-5551	267	35	|vi|	|vi|	ADV
ejpam-5551	267	36	,	,	PUNCT
ejpam-5551	267	37	d	d	X
ejpam-5551	267	38	(	(	PUNCT
ejpam-5551	267	39	k+1	k+1	NOUN
ejpam-5551	267	40	)	)	PUNCT
ejpam-5551	267	41	i+1	i+1	PART
ejpam-5551	267	42	=	=	SYM
ejpam-5551	267	43	b2	b2	PROPN
ejpam-5551	267	44	|vi|	|vi|	ADP
ejpam-5551	267	45	,	,	PUNCT
ejpam-5551	267	46	d	d	X
ejpam-5551	267	47	(	(	PUNCT
ejpam-5551	267	48	k+1	k+1	NOUN
ejpam-5551	267	49	)	)	PUNCT
ejpam-5551	267	50	i+2	i+2	NOUN
ejpam-5551	268	1	=	=	SYM
ejpam-5551	268	2	b3	b3	PROPN
ejpam-5551	268	3	|vi|	|vi|	PROPN
ejpam-5551	268	4	,	,	PUNCT
ejpam-5551	268	5	d	d	X
ejpam-5551	268	6	(	(	PUNCT
ejpam-5551	268	7	k+1	k+1	NOUN
ejpam-5551	268	8	)	)	PUNCT
ejpam-5551	268	9	i+3	i+3	NOUN
ejpam-5551	269	1	=	=	NOUN
ejpam-5551	269	2	b4	b4	NOUN
ejpam-5551	269	3	|vi|	|vi|	NOUN
ejpam-5551	269	4	,	,	PUNCT
ejpam-5551	269	5	i	i	NOUN
ejpam-5551	269	6	=	=	NOUN
ejpam-5551	269	7	1	1	NUM
ejpam-5551	269	8	,	,	PUNCT
ejpam-5551	269	9	2	2	NUM
ejpam-5551	269	10	,	,	PUNCT
ejpam-5551	269	11	·	·	PUNCT
ejpam-5551	269	12	·	·	PUNCT
ejpam-5551	269	13	·	·	PUNCT
ejpam-5551	269	14	,	,	PUNCT
ejpam-5551	269	15	s	s	X
ejpam-5551	269	16	;	;	PUNCT
ejpam-5551	269	17	k	k	X
ejpam-5551	269	18	=	=	SYM
ejpam-5551	269	19	0	0	NUM
ejpam-5551	269	20	,	,	PUNCT
ejpam-5551	269	21	1	1	NUM
ejpam-5551	269	22	,	,	PUNCT
ejpam-5551	269	23	·	·	PUNCT
ejpam-5551	269	24	·	·	PUNCT
ejpam-5551	269	25	·	·	PUNCT
ejpam-5551	269	26	.	.	PUNCT
ejpam-5551	270	1	(	(	PUNCT
ejpam-5551	270	2	22	22	NUM
ejpam-5551	270	3	)	)	PUNCT
ejpam-5551	270	4	where	where	SCONJ
ejpam-5551	270	5	,	,	PUNCT
ejpam-5551	270	6	b1	b1	NOUN
ejpam-5551	270	7	=	=	SYM
ejpam-5551	270	8	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5551	270	9	qi	qi	PROPN
ejpam-5551	270	10	ai	ai	VERB
ejpam-5551	270	11	,	,	PUNCT
ejpam-5551	270	12	i+1	i+1	ADV
ejpam-5551	270	13	ai	ai	VERB
ejpam-5551	270	14	,	,	PUNCT
ejpam-5551	270	15	i+2	i+2	PROPN
ejpam-5551	270	16	ai	ai	PROPN
ejpam-5551	270	17	,	,	PUNCT
ejpam-5551	270	18	i+3	i+3	PROPN
ejpam-5551	270	19	qi+1	qi+1	PROPN
ejpam-5551	271	1	ai+1,i+1	ai+1,i+1	X
ejpam-5551	271	2	ai+1,i+2	ai+1,i+2	X
ejpam-5551	271	3	ai+1,i+3	ai+1,i+3	PROPN
ejpam-5551	271	4	qi+2	qi+2	NUM
ejpam-5551	271	5	ai+2,i+1	ai+2,i+1	X
ejpam-5551	271	6	ai+2,i+2	ai+2,i+2	NOUN
ejpam-5551	271	7	ai+2,i+3	ai+2,i+3	VERB
ejpam-5551	271	8	qi+3	qi+3	SYM
ejpam-5551	271	9	ai+3,i+1	ai+3,i+1	NUM
ejpam-5551	271	10	ai+3,i+2	ai+3,i+2	ADV
ejpam-5551	271	11	ai+3,i+3	ai+3,i+3	NOUN
ejpam-5551	271	12	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADJ
ejpam-5551	271	13	,	,	PUNCT
ejpam-5551	271	14	b2	b2	NOUN
ejpam-5551	271	15	=	=	SYM
ejpam-5551	271	16	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5551	271	17	ai	ai	NOUN
ejpam-5551	271	18	,	,	PUNCT
ejpam-5551	271	19	i	i	PRON
ejpam-5551	271	20	qi	qi	VERB
ejpam-5551	271	21	ai	ai	VERB
ejpam-5551	271	22	,	,	PUNCT
ejpam-5551	271	23	i+2	i+2	PROPN
ejpam-5551	271	24	ai	ai	PROPN
ejpam-5551	271	25	,	,	PUNCT
ejpam-5551	271	26	i+3	i+3	PART
ejpam-5551	271	27	ai+1,i	ai+1,i	ADJ
ejpam-5551	271	28	qi+1	qi+1	PROPN
ejpam-5551	271	29	ai+1,i+2	ai+1,i+2	X
ejpam-5551	271	30	ai+1,i+3	ai+1,i+3	X
ejpam-5551	271	31	ai+2,i	ai+2,i	PROPN
ejpam-5551	271	32	qi+2	qi+2	PROPN
ejpam-5551	272	1	ai+2,i+2	ai+2,i+2	ADJ
ejpam-5551	272	2	ai+2,i+3	ai+2,i+3	VERB
ejpam-5551	272	3	ai+3,i	ai+3,i	PROPN
ejpam-5551	272	4	qi+3	qi+3	NOUN
ejpam-5551	272	5	ai+3,i+2	ai+3,i+2	VERB
ejpam-5551	272	6	ai+3,i+3	ai+3,i+3	NOUN
ejpam-5551	272	7	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADV
ejpam-5551	272	8	,	,	PUNCT
ejpam-5551	272	9	b3	b3	PROPN
ejpam-5551	272	10	=	=	SYM
ejpam-5551	272	11	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5551	273	1	ai	ai	PROPN
ejpam-5551	273	2	,	,	PUNCT
ejpam-5551	273	3	i	i	PRON
ejpam-5551	273	4	ai	ai	VERB
ejpam-5551	273	5	,	,	PUNCT
ejpam-5551	273	6	i+1	i+1	NUM
ejpam-5551	273	7	qi	qi	NOUN
ejpam-5551	273	8	ai	ai	VERB
ejpam-5551	273	9	,	,	PUNCT
ejpam-5551	274	1	i+3	i+3	PART
ejpam-5551	274	2	ai+1,i	ai+1,i	NOUN
ejpam-5551	274	3	ai+1,i+1	ai+1,i+1	SYM
ejpam-5551	274	4	qi+1	qi+1	PROPN
ejpam-5551	274	5	ai+1,i+3	ai+1,i+3	X
ejpam-5551	274	6	ai+2,i	ai+2,i	PROPN
ejpam-5551	274	7	ai+2,i+1	ai+2,i+1	X
ejpam-5551	274	8	qi+2	qi+2	PROPN
ejpam-5551	274	9	ai+2,i+3	ai+2,i+3	VERB
ejpam-5551	274	10	ai+3,i	ai+3,i	PROPN
ejpam-5551	274	11	ai+3,i+1	ai+3,i+1	NOUN
ejpam-5551	274	12	qi+3	qi+3	ADP
ejpam-5551	274	13	ai+3,i+3	ai+3,i+3	NOUN
ejpam-5551	274	14	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADV
ejpam-5551	274	15	,	,	PUNCT
ejpam-5551	274	16	b4	b4	PROPN
ejpam-5551	274	17	=	=	PUNCT
ejpam-5551	274	18	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5551	274	19	ai	ai	PROPN
ejpam-5551	274	20	,	,	PUNCT
ejpam-5551	274	21	i	i	PRON
ejpam-5551	274	22	ai	ai	VERB
ejpam-5551	274	23	,	,	PUNCT
ejpam-5551	274	24	i+1	i+1	ADV
ejpam-5551	274	25	ai	ai	NOUN
ejpam-5551	274	26	,	,	PUNCT
ejpam-5551	274	27	i+2	i+2	PROPN
ejpam-5551	274	28	qi	qi	PROPN
ejpam-5551	274	29	ai+1,i	ai+1,i	NOUN
ejpam-5551	274	30	ai+1,i+1	ai+1,i+1	X
ejpam-5551	274	31	ai+1,i+2	ai+1,i+2	X
ejpam-5551	274	32	qi+1	qi+1	NUM
ejpam-5551	274	33	ai+2,i	ai+2,i	PROPN
ejpam-5551	274	34	ai+2,i+1	ai+2,i+1	ADV
ejpam-5551	275	1	ai+2,i+2	ai+2,i+2	NUM
ejpam-5551	275	2	qi+2	qi+2	NUM
ejpam-5551	276	1	ai+3,i	ai+3,i	PROPN
ejpam-5551	276	2	ai+3,i+1	ai+3,i+1	X
ejpam-5551	276	3	ai+3,i+2	ai+3,i+2	ADV
ejpam-5551	276	4	qi+3	qi+3	X
ejpam-5551	276	5	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5551	276	6	,	,	PUNCT
ejpam-5551	276	7	i.e.	i.e.	X
ejpam-5551	276	8	qi	qi	X
ejpam-5551	276	9	=	=	SYM
ejpam-5551	276	10	−	−	PROPN
ejpam-5551	276	11	i−1∑	i−1∑	NOUN
ejpam-5551	276	12	j=1	j=1	PROPN
ejpam-5551	276	13	ai	ai	VERB
ejpam-5551	276	14	,	,	PUNCT
ejpam-5551	276	15	jd	jd	PROPN
ejpam-5551	276	16	(	(	PUNCT
ejpam-5551	276	17	k+1	k+1	PROPN
ejpam-5551	276	18	)	)	PUNCT
ejpam-5551	276	19	j	j	PROPN
ejpam-5551	276	20	−	−	PROPN
ejpam-5551	277	1	s∑	s∑	PROPN
ejpam-5551	277	2	j	j	X
ejpam-5551	278	1	=	=	PROPN
ejpam-5551	278	2	i+4	i+4	NUM
ejpam-5551	278	3	ai	ai	PROPN
ejpam-5551	278	4	,	,	PUNCT
ejpam-5551	278	5	jd	jd	PROPN
ejpam-5551	278	6	(	(	PUNCT
ejpam-5551	278	7	k+1	k+1	PROPN
ejpam-5551	278	8	)	)	PUNCT
ejpam-5551	278	9	j	j	PROPN
ejpam-5551	279	1	+	+	CCONJ
ejpam-5551	279	2	bi	bi	PROPN
ejpam-5551	279	3	,	,	PUNCT
ejpam-5551	279	4	p.	p.	PROPN
ejpam-5551	280	1	cheng	cheng	PROPN
ejpam-5551	280	2	et	et	PROPN
ejpam-5551	280	3	al	al	PROPN
ejpam-5551	280	4	.	.	PUNCT
ejpam-5551	280	5	/	/	SYM
ejpam-5551	280	6	eur	eur	PROPN
ejpam-5551	280	7	.	.	PUNCT
ejpam-5551	281	1	j.	j.	PROPN
ejpam-5551	281	2	pure	pure	PROPN
ejpam-5551	281	3	appl	appl	PROPN
ejpam-5551	281	4	.	.	PROPN
ejpam-5551	281	5	math	math	PROPN
ejpam-5551	281	6	,	,	PUNCT
ejpam-5551	281	7	18	18	NUM
ejpam-5551	281	8	(	(	PUNCT
ejpam-5551	281	9	1	1	NUM
ejpam-5551	281	10	)	)	PUNCT
ejpam-5551	281	11	(	(	PUNCT
ejpam-5551	281	12	2025	2025	NUM
ejpam-5551	281	13	)	)	PUNCT
ejpam-5551	281	14	,	,	PUNCT
ejpam-5551	281	15	5551	5551	NUM
ejpam-5551	281	16	12	12	NUM
ejpam-5551	281	17	of	of	ADP
ejpam-5551	281	18	22	22	NUM
ejpam-5551	281	19	qi+1	qi+1	NOUN
ejpam-5551	281	20	=	=	SYM
ejpam-5551	281	21	−	−	NOUN
ejpam-5551	281	22	i−1∑	i−1∑	NUM
ejpam-5551	281	23	j=1	j=1	PROPN
ejpam-5551	281	24	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	281	25	(	(	PUNCT
ejpam-5551	281	26	k+1	k+1	NOUN
ejpam-5551	281	27	)	)	PUNCT
ejpam-5551	281	28	j	j	PROPN
ejpam-5551	281	29	−	−	PROPN
ejpam-5551	281	30	s∑	s∑	PROPN
ejpam-5551	281	31	j	j	X
ejpam-5551	282	1	=	=	PROPN
ejpam-5551	282	2	i+4	i+4	PROPN
ejpam-5551	282	3	ai+1,jd	ai+1,jd	PROPN
ejpam-5551	282	4	(	(	PUNCT
ejpam-5551	282	5	k+1	k+1	NOUN
ejpam-5551	282	6	)	)	PUNCT
ejpam-5551	282	7	j	j	NOUN
ejpam-5551	283	1	+	+	CCONJ
ejpam-5551	283	2	bi+1	bi+1	X
ejpam-5551	283	3	,	,	PUNCT
ejpam-5551	283	4	qi+2	qi+2	PROPN
ejpam-5551	283	5	=	=	PUNCT
ejpam-5551	283	6	−	−	PROPN
ejpam-5551	283	7	i−1∑	i−1∑	NOUN
ejpam-5551	284	1	j=1	j=1	NOUN
ejpam-5551	284	2	ai+2,jd	ai+2,jd	PROPN
ejpam-5551	284	3	(	(	PUNCT
ejpam-5551	284	4	k+1	k+1	NOUN
ejpam-5551	284	5	)	)	PUNCT
ejpam-5551	284	6	j	j	PROPN
ejpam-5551	284	7	−	−	PROPN
ejpam-5551	284	8	s∑	s∑	PROPN
ejpam-5551	284	9	j	j	X
ejpam-5551	284	10	=	=	PROPN
ejpam-5551	284	11	i+4	i+4	PROPN
ejpam-5551	284	12	ai+2,jd	ai+2,jd	PROPN
ejpam-5551	284	13	(	(	PUNCT
ejpam-5551	284	14	k+1	k+1	NOUN
ejpam-5551	284	15	)	)	PUNCT
ejpam-5551	284	16	j	j	NOUN
ejpam-5551	284	17	+	+	CCONJ
ejpam-5551	284	18	bi+2	bi+2	NUM
ejpam-5551	284	19	,	,	PUNCT
ejpam-5551	284	20	qi+3	qi+3	PRON
ejpam-5551	284	21	=	=	SYM
ejpam-5551	284	22	−	−	NOUN
ejpam-5551	284	23	i−1∑	i−1∑	NUM
ejpam-5551	284	24	j=1	j=1	PROPN
ejpam-5551	284	25	ai+3,jd	ai+3,jd	PROPN
ejpam-5551	284	26	(	(	PUNCT
ejpam-5551	284	27	k+1	k+1	NOUN
ejpam-5551	284	28	)	)	PUNCT
ejpam-5551	284	29	j	j	PROPN
ejpam-5551	284	30	−	−	PROPN
ejpam-5551	284	31	s∑	s∑	PROPN
ejpam-5551	284	32	j	j	X
ejpam-5551	285	1	=	=	PROPN
ejpam-5551	285	2	i+4	i+4	PROPN
ejpam-5551	285	3	ai+3,jd	ai+3,jd	PROPN
ejpam-5551	285	4	(	(	PUNCT
ejpam-5551	285	5	k+1	k+1	NOUN
ejpam-5551	285	6	)	)	PUNCT
ejpam-5551	285	7	j	j	PROPN
ejpam-5551	285	8	+	+	PROPN
ejpam-5551	285	9	bi+3	bi+3	NOUN
ejpam-5551	285	10	,	,	PUNCT
ejpam-5551	285	11	algorithm	algorithm	NOUN
ejpam-5551	285	12	2	2	NUM
ejpam-5551	285	13	:	:	PUNCT
ejpam-5551	285	14	newton-4eggs	newton-4egg	VERB
ejpam-5551	285	15	scheme	scheme	NOUN
ejpam-5551	285	16	i.	i.	NOUN
ejpam-5551	285	17	calculate	calculate	VERB
ejpam-5551	285	18	the	the	DET
ejpam-5551	285	19	expression	expression	NOUN
ejpam-5551	285	20	of	of	ADP
ejpam-5551	285	21	the	the	DET
ejpam-5551	285	22	objective	objective	ADJ
ejpam-5551	285	23	function	function	NOUN
ejpam-5551	285	24	by	by	ADP
ejpam-5551	285	25	using	use	VERB
ejpam-5551	285	26	equation	equation	NOUN
ejpam-5551	285	27	(	(	PUNCT
ejpam-5551	285	28	3	3	NUM
ejpam-5551	285	29	)	)	PUNCT
ejpam-5551	285	30	.	.	PUNCT
ejpam-5551	286	1	ii	ii	PROPN
ejpam-5551	286	2	.	.	PROPN
ejpam-5551	286	3	give	give	VERB
ejpam-5551	286	4	the	the	DET
ejpam-5551	286	5	initial	initial	ADJ
ejpam-5551	286	6	value	value	NOUN
ejpam-5551	286	7	x0	x0	PROPN
ejpam-5551	286	8	and	and	CCONJ
ejpam-5551	286	9	the	the	DET
ejpam-5551	286	10	accuracy	accuracy	NOUN
ejpam-5551	286	11	threshold	threshold	NOUN
ejpam-5551	286	12	ε1	ε1	PROPN
ejpam-5551	286	13	=	=	SYM
ejpam-5551	286	14	10−5	10−5	NUM
ejpam-5551	286	15	,	,	PUNCT
ejpam-5551	286	16	ε2	ε2	PROPN
ejpam-5551	286	17	=	=	SYM
ejpam-5551	286	18	10−10	10−10	PROPN
ejpam-5551	286	19	and	and	CCONJ
ejpam-5551	286	20	let	let	VERB
ejpam-5551	286	21	k	k	NOUN
ejpam-5551	286	22	:	:	PUNCT
ejpam-5551	286	23	=	=	SYM
ejpam-5551	286	24	0	0	X
ejpam-5551	286	25	.	.	X
ejpam-5551	286	26	iii	iii	PROPN
ejpam-5551	286	27	.	.	PROPN
ejpam-5551	286	28	calculate	calculate	NOUN
ejpam-5551	286	29	matrix	matrix	NOUN
ejpam-5551	286	30	gk	gk	PROPN
ejpam-5551	286	31	and	and	CCONJ
ejpam-5551	286	32	gradient	gradient	NOUN
ejpam-5551	286	33	gk	gk	PROPN
ejpam-5551	286	34	if	if	SCONJ
ejpam-5551	286	35	∥gk∥	∥gk∥	PROPN
ejpam-5551	286	36	<	<	X
ejpam-5551	286	37	ε1	ε1	PROPN
ejpam-5551	286	38	,	,	PUNCT
ejpam-5551	286	39	that	that	ADV
ejpam-5551	286	40	is	is	ADV
ejpam-5551	286	41	,	,	PUNCT
ejpam-5551	286	42	the	the	DET
ejpam-5551	286	43	extreme	extreme	ADJ
ejpam-5551	286	44	point	point	NOUN
ejpam-5551	286	45	is	be	AUX
ejpam-5551	286	46	reached	reach	VERB
ejpam-5551	286	47	,	,	PUNCT
ejpam-5551	286	48	the	the	DET
ejpam-5551	286	49	iteration	iteration	NOUN
ejpam-5551	286	50	is	be	AUX
ejpam-5551	286	51	stopped	stop	VERB
ejpam-5551	286	52	,	,	PUNCT
ejpam-5551	286	53	otherwise	otherwise	ADV
ejpam-5551	286	54	,	,	PUNCT
ejpam-5551	286	55	go	go	VERB
ejpam-5551	286	56	to	to	ADP
ejpam-5551	286	57	iv	iv	NUM
ejpam-5551	286	58	.	.	PUNCT
ejpam-5551	287	1	iv	iv	X
ejpam-5551	287	2	.	.	PROPN
ejpam-5551	287	3	calculate	calculate	VERB
ejpam-5551	287	4	the	the	DET
ejpam-5551	287	5	following	follow	VERB
ejpam-5551	287	6	a.	a.	NOUN
ejpam-5551	287	7	calculate	calculate	VERB
ejpam-5551	287	8	the	the	DET
ejpam-5551	287	9	matrix	matrix	NOUN
ejpam-5551	287	10	d2,l2,u2,vi	d2,l2,u2,vi	NOUN
ejpam-5551	287	11	and	and	CCONJ
ejpam-5551	287	12	wi	wi	PROPN
ejpam-5551	287	13	,	,	PUNCT
ejpam-5551	287	14	q.	q.	PROPN
ejpam-5551	287	15	b.	b.	PROPN
ejpam-5551	287	16	calculate	calculate	VERB
ejpam-5551	287	17	the	the	DET
ejpam-5551	287	18	search	search	NOUN
ejpam-5551	287	19	direction	direction	NOUN
ejpam-5551	287	20	by	by	ADP
ejpam-5551	287	21	using	use	VERB
ejpam-5551	287	22	equation	equation	NOUN
ejpam-5551	287	23	(	(	PUNCT
ejpam-5551	287	24	22	22	NUM
ejpam-5551	287	25	)	)	PUNCT
ejpam-5551	287	26	.	.	PUNCT
ejpam-5551	288	1	c.	c.	PROPN
ejpam-5551	288	2	calculate	calculate	VERB
ejpam-5551	288	3	the	the	DET
ejpam-5551	288	4	convergence	convergence	NOUN
ejpam-5551	288	5	condition	condition	NOUN
ejpam-5551	288	6	,	,	PUNCT
ejpam-5551	288	7	if	if	SCONJ
ejpam-5551	288	8	∥d(k+1	∥d(k+1	NOUN
ejpam-5551	288	9	)	)	PUNCT
ejpam-5551	288	10	−	−	NOUN
ejpam-5551	288	11	d(k)∥	d(k)∥	NOUN
ejpam-5551	288	12	<	<	X
ejpam-5551	288	13	ε2	ε2	PROPN
ejpam-5551	288	14	,	,	PUNCT
ejpam-5551	288	15	then	then	ADV
ejpam-5551	288	16	go	go	VERB
ejpam-5551	288	17	to	to	PART
ejpam-5551	288	18	step	step	VERB
ejpam-5551	288	19	v	v	NOUN
ejpam-5551	288	20	,	,	PUNCT
ejpam-5551	288	21	otherwise	otherwise	ADV
ejpam-5551	288	22	go	go	VERB
ejpam-5551	288	23	to	to	PART
ejpam-5551	288	24	step	step	VERB
ejpam-5551	288	25	iv(b	iv(b	PUNCT
ejpam-5551	288	26	)	)	PUNCT
ejpam-5551	288	27	.	.	PUNCT
ejpam-5551	289	1	v.	v.	CCONJ
ejpam-5551	289	2	calculate	calculate	VERB
ejpam-5551	289	3	the	the	DET
ejpam-5551	289	4	new	new	ADJ
ejpam-5551	289	5	iteration	iteration	NOUN
ejpam-5551	289	6	point	point	NOUN
ejpam-5551	289	7	as	as	ADP
ejpam-5551	289	8	x(k+1	x(k+1	NOUN
ejpam-5551	289	9	)	)	PUNCT
ejpam-5551	289	10	=	=	PUNCT
ejpam-5551	290	1	x(k	x(k	PROPN
ejpam-5551	290	2	)	)	PUNCT
ejpam-5551	290	3	+	+	CCONJ
ejpam-5551	290	4	αkd	αkd	NOUN
ejpam-5551	290	5	(	(	PUNCT
ejpam-5551	290	6	k	k	NOUN
ejpam-5551	290	7	)	)	PUNCT
ejpam-5551	290	8	.	.	PUNCT
ejpam-5551	291	1	vi	vi	X
ejpam-5551	291	2	.	.	PUNCT
ejpam-5551	291	3	let	let	VERB
ejpam-5551	291	4	k	k	NOUN
ejpam-5551	291	5	=	=	PUNCT
ejpam-5551	292	1	k	k	PROPN
ejpam-5551	293	1	+	+	PROPN
ejpam-5551	293	2	1	1	NUM
ejpam-5551	293	3	,	,	PUNCT
ejpam-5551	293	4	go	go	VERB
ejpam-5551	293	5	to	to	PART
ejpam-5551	293	6	step	step	VERB
ejpam-5551	293	7	iii	iii	NOUN
ejpam-5551	293	8	.	.	PROPN
ejpam-5551	294	1	4	4	NUM
ejpam-5551	294	2	.	.	NOUN
ejpam-5551	294	3	numerical	numerical	ADJ
ejpam-5551	294	4	experiments	experiment	NOUN
ejpam-5551	294	5	in	in	ADP
ejpam-5551	294	6	this	this	DET
ejpam-5551	294	7	section	section	NOUN
ejpam-5551	294	8	,	,	PUNCT
ejpam-5551	294	9	numerical	numerical	ADJ
ejpam-5551	294	10	experiments	experiment	NOUN
ejpam-5551	294	11	are	be	AUX
ejpam-5551	294	12	performed	perform	VERB
ejpam-5551	294	13	to	to	PART
ejpam-5551	294	14	verify	verify	VERB
ejpam-5551	294	15	the	the	DET
ejpam-5551	294	16	effectiveness	effectiveness	NOUN
ejpam-5551	294	17	and	and	CCONJ
ejpam-5551	294	18	superiority	superiority	NOUN
ejpam-5551	294	19	of	of	ADP
ejpam-5551	294	20	the	the	DET
ejpam-5551	294	21	algorithm	algorithm	NOUN
ejpam-5551	294	22	,	,	PUNCT
ejpam-5551	294	23	the	the	DET
ejpam-5551	294	24	test	test	NOUN
ejpam-5551	294	25	functions	function	NOUN
ejpam-5551	294	26	are	be	AUX
ejpam-5551	294	27	mainly	mainly	ADV
ejpam-5551	294	28	taken	take	VERB
ejpam-5551	294	29	from	from	ADP
ejpam-5551	294	30	references	reference	NOUN
ejpam-5551	294	31	[	[	X
ejpam-5551	294	32	10	10	NUM
ejpam-5551	294	33	,	,	PUNCT
ejpam-5551	294	34	11	11	NUM
ejpam-5551	294	35	,	,	PUNCT
ejpam-5551	294	36	19	19	NUM
ejpam-5551	294	37	]	]	PUNCT
ejpam-5551	294	38	.	.	PUNCT
ejpam-5551	295	1	they	they	PRON
ejpam-5551	295	2	are	be	AUX
ejpam-5551	295	3	all	all	ADV
ejpam-5551	295	4	chosen	choose	VERB
ejpam-5551	295	5	based	base	VERB
ejpam-5551	295	6	on	on	ADP
ejpam-5551	295	7	the	the	DET
ejpam-5551	295	8	fact	fact	NOUN
ejpam-5551	295	9	that	that	SCONJ
ejpam-5551	295	10	the	the	DET
ejpam-5551	295	11	hessian	hessian	ADJ
ejpam-5551	295	12	matrix	matrix	NOUN
ejpam-5551	295	13	is	be	AUX
ejpam-5551	295	14	a	a	DET
ejpam-5551	295	15	full	full	ADJ
ejpam-5551	295	16	matrix	matrix	NOUN
ejpam-5551	295	17	.	.	PUNCT
ejpam-5551	296	1	these	these	DET
ejpam-5551	296	2	test	test	NOUN
ejpam-5551	296	3	cases	case	NOUN
ejpam-5551	296	4	were	be	AUX
ejpam-5551	296	5	all	all	PRON
ejpam-5551	296	6	computed	compute	VERB
ejpam-5551	296	7	at	at	ADP
ejpam-5551	296	8	n	n	NOUN
ejpam-5551	296	9	=	=	PUNCT
ejpam-5551	296	10	(	(	PUNCT
ejpam-5551	296	11	10	10	NUM
ejpam-5551	296	12	,	,	PUNCT
ejpam-5551	296	13	50	50	NUM
ejpam-5551	296	14	,	,	PUNCT
ejpam-5551	296	15	100	100	NUM
ejpam-5551	296	16	,	,	PUNCT
ejpam-5551	296	17	150	150	NUM
ejpam-5551	296	18	,	,	PUNCT
ejpam-5551	296	19	150	150	NUM
ejpam-5551	296	20	)	)	PUNCT
ejpam-5551	296	21	for	for	ADP
ejpam-5551	296	22	a	a	DET
ejpam-5551	296	23	total	total	NOUN
ejpam-5551	296	24	of	of	ADP
ejpam-5551	296	25	five	five	NUM
ejpam-5551	296	26	different	different	ADJ
ejpam-5551	296	27	orders	order	NOUN
ejpam-5551	296	28	of	of	ADP
ejpam-5551	296	29	hessian	hessian	ADJ
ejpam-5551	296	30	matrices	matrix	NOUN
ejpam-5551	296	31	.	.	PUNCT
ejpam-5551	297	1	thus	thus	ADV
ejpam-5551	297	2	,	,	PUNCT
ejpam-5551	297	3	this	this	PRON
ejpam-5551	297	4	corresponds	correspond	VERB
ejpam-5551	297	5	to	to	ADP
ejpam-5551	297	6	a	a	DET
ejpam-5551	297	7	total	total	NOUN
ejpam-5551	297	8	of	of	ADP
ejpam-5551	297	9	20	20	NUM
ejpam-5551	297	10	test	test	NOUN
ejpam-5551	297	11	cases	case	NOUN
ejpam-5551	297	12	provided	provide	VERB
ejpam-5551	297	13	.	.	PUNCT
ejpam-5551	298	1	all	all	DET
ejpam-5551	298	2	calculations	calculation	NOUN
ejpam-5551	298	3	and	and	CCONJ
ejpam-5551	298	4	drawings	drawing	NOUN
ejpam-5551	298	5	in	in	ADP
ejpam-5551	298	6	this	this	DET
ejpam-5551	298	7	paper	paper	NOUN
ejpam-5551	298	8	are	be	AUX
ejpam-5551	298	9	done	do	VERB
ejpam-5551	298	10	by	by	ADP
ejpam-5551	298	11	using	use	VERB
ejpam-5551	298	12	matlab	matlab	PROPN
ejpam-5551	298	13	software	software	NOUN
ejpam-5551	298	14	,	,	PUNCT
ejpam-5551	298	15	version	version	NOUN
ejpam-5551	299	1	:	:	PUNCT
ejpam-5551	299	2	matlab2020a	matlab2020a	NOUN
ejpam-5551	299	3	.	.	PUNCT
ejpam-5551	300	1	below	below	ADP
ejpam-5551	300	2	we	we	PRON
ejpam-5551	300	3	give	give	VERB
ejpam-5551	300	4	the	the	DET
ejpam-5551	300	5	specific	specific	ADJ
ejpam-5551	300	6	expressions	expression	NOUN
ejpam-5551	300	7	for	for	ADP
ejpam-5551	300	8	the	the	DET
ejpam-5551	300	9	four	four	NUM
ejpam-5551	300	10	cases	case	NOUN
ejpam-5551	300	11	.	.	PUNCT
ejpam-5551	301	1	example	example	NOUN
ejpam-5551	301	2	1[10	1[10	NUM
ejpam-5551	301	3	]	]	SYM
ejpam-5551	301	4	min	min	NOUN
ejpam-5551	301	5	f1(x	f1(x	PROPN
ejpam-5551	301	6	)	)	PUNCT
ejpam-5551	302	1	=	=	SYM
ejpam-5551	303	1	x1	x1	PROPN
ejpam-5551	304	1	+	+	CCONJ
ejpam-5551	304	2	g	g	NOUN
ejpam-5551	304	3	,	,	PUNCT
ejpam-5551	305	1	p.	p.	PROPN
ejpam-5551	305	2	cheng	cheng	PROPN
ejpam-5551	305	3	et	et	PROPN
ejpam-5551	305	4	al	al	PROPN
ejpam-5551	305	5	.	.	PUNCT
ejpam-5551	305	6	/	/	SYM
ejpam-5551	305	7	eur	eur	PROPN
ejpam-5551	305	8	.	.	PUNCT
ejpam-5551	306	1	j.	j.	PROPN
ejpam-5551	306	2	pure	pure	PROPN
ejpam-5551	306	3	appl	appl	PROPN
ejpam-5551	306	4	.	.	PROPN
ejpam-5551	306	5	math	math	PROPN
ejpam-5551	306	6	,	,	PUNCT
ejpam-5551	306	7	18	18	NUM
ejpam-5551	306	8	(	(	PUNCT
ejpam-5551	306	9	1	1	NUM
ejpam-5551	306	10	)	)	PUNCT
ejpam-5551	306	11	(	(	PUNCT
ejpam-5551	306	12	2025	2025	NUM
ejpam-5551	306	13	)	)	PUNCT
ejpam-5551	306	14	,	,	PUNCT
ejpam-5551	306	15	5551	5551	NUM
ejpam-5551	306	16	13	13	NUM
ejpam-5551	306	17	of	of	ADP
ejpam-5551	306	18	22	22	NUM
ejpam-5551	306	19	min	min	NOUN
ejpam-5551	306	20	f2(x	f2(x	PROPN
ejpam-5551	306	21	)	)	PUNCT
ejpam-5551	306	22	=	=	SYM
ejpam-5551	307	1	1−	1−	NUM
ejpam-5551	307	2	x21	x21	NUM
ejpam-5551	308	1	+	+	CCONJ
ejpam-5551	308	2	g	g	NOUN
ejpam-5551	308	3	,	,	PUNCT
ejpam-5551	308	4	g	g	PROPN
ejpam-5551	308	5	=	=	SYM
ejpam-5551	308	6	n∑	n∑	NOUN
ejpam-5551	308	7	i=2	i=2	PROPN
ejpam-5551	308	8	(	(	PUNCT
ejpam-5551	308	9	xi	xi	ADP
ejpam-5551	308	10	−	−	PROPN
ejpam-5551	308	11	sin(0.5πx1	sin(0.5πx1	NOUN
ejpam-5551	308	12	)	)	PUNCT
ejpam-5551	308	13	)	)	PUNCT
ejpam-5551	308	14	2	2	NUM
ejpam-5551	308	15	,	,	PUNCT
ejpam-5551	308	16	s.t	s.t	PROPN
ejpam-5551	308	17	.	.	PROPN
ejpam-5551	308	18	c(x	c(x	NOUN
ejpam-5551	308	19	)	)	PUNCT
ejpam-5551	308	20	=	=	PUNCT
ejpam-5551	309	1	sin(aπx1)−	sin(aπx1)−	PROPN
ejpam-5551	309	2	b	b	PROPN
ejpam-5551	309	3	≥	≥	NOUN
ejpam-5551	309	4	0	0	NUM
ejpam-5551	309	5	,	,	PUNCT
ejpam-5551	309	6	x	x	SYM
ejpam-5551	309	7	∈	∈	PROPN
ejpam-5551	310	1	[	[	X
ejpam-5551	310	2	0	0	NUM
ejpam-5551	310	3	,	,	PUNCT
ejpam-5551	310	4	1	1	NUM
ejpam-5551	310	5	]	]	PUNCT
ejpam-5551	310	6	,	,	PUNCT
ejpam-5551	310	7	where	where	SCONJ
ejpam-5551	310	8	a	a	DET
ejpam-5551	310	9	>	>	X
ejpam-5551	310	10	0	0	NUM
ejpam-5551	310	11	,	,	PUNCT
ejpam-5551	310	12	b	b	X
ejpam-5551	310	13	∈	∈	PROPN
ejpam-5551	311	1	[	[	X
ejpam-5551	311	2	−1	−1	NOUN
ejpam-5551	311	3	,	,	PUNCT
ejpam-5551	311	4	1	1	NUM
ejpam-5551	311	5	]	]	PUNCT
ejpam-5551	311	6	.	.	PUNCT
ejpam-5551	312	1	as	as	ADP
ejpam-5551	312	2	an	an	DET
ejpam-5551	312	3	example	example	NOUN
ejpam-5551	312	4	,	,	PUNCT
ejpam-5551	312	5	a	a	DET
ejpam-5551	312	6	=	=	SYM
ejpam-5551	312	7	1	1	NUM
ejpam-5551	312	8	,	,	PUNCT
ejpam-5551	312	9	b	b	X
ejpam-5551	312	10	=	=	SYM
ejpam-5551	312	11	0.5	0.5	NUM
ejpam-5551	312	12	are	be	AUX
ejpam-5551	312	13	set	set	VERB
ejpam-5551	312	14	here	here	ADV
ejpam-5551	312	15	.	.	PUNCT
ejpam-5551	313	1	firstly	firstly	ADV
ejpam-5551	313	2	,	,	PUNCT
ejpam-5551	313	3	the	the	DET
ejpam-5551	313	4	example1	example1	NOUN
ejpam-5551	313	5	is	be	AUX
ejpam-5551	313	6	transformed	transform	VERB
ejpam-5551	313	7	into	into	ADP
ejpam-5551	313	8	a	a	DET
ejpam-5551	313	9	single	single	ADJ
ejpam-5551	313	10	objective	objective	ADJ
ejpam-5551	313	11	optimization	optimization	NOUN
ejpam-5551	313	12	problem	problem	NOUN
ejpam-5551	313	13	using	use	VERB
ejpam-5551	313	14	weighted	weight	VERB
ejpam-5551	313	15	as	as	SCONJ
ejpam-5551	313	16	follows	follow	VERB
ejpam-5551	313	17	:	:	PUNCT
ejpam-5551	313	18	min	min	PROPN
ejpam-5551	313	19	f	f	PROPN
ejpam-5551	313	20	(	(	PUNCT
ejpam-5551	313	21	x	x	X
ejpam-5551	313	22	)	)	PUNCT
ejpam-5551	313	23	=	=	SYM
ejpam-5551	313	24	w1f1(x	w1f1(x	PROPN
ejpam-5551	313	25	)	)	PUNCT
ejpam-5551	313	26	+	+	NUM
ejpam-5551	313	27	w2f2(x	w2f2(x	X
ejpam-5551	313	28	)	)	PUNCT
ejpam-5551	313	29	,	,	PUNCT
ejpam-5551	313	30	s.t	s.t	PROPN
ejpam-5551	313	31	.	.	PROPN
ejpam-5551	313	32	c(x	c(x	NOUN
ejpam-5551	313	33	)	)	PUNCT
ejpam-5551	313	34	=	=	PUNCT
ejpam-5551	314	1	sin(aπx1)−	sin(aπx1)−	PROPN
ejpam-5551	314	2	b	b	PROPN
ejpam-5551	314	3	≥	≥	NOUN
ejpam-5551	314	4	0	0	NUM
ejpam-5551	314	5	,	,	PUNCT
ejpam-5551	314	6	x	x	X
ejpam-5551	314	7	∈	∈	PROPN
ejpam-5551	314	8	ω	ω	NOUN
ejpam-5551	314	9	.	.	PUNCT
ejpam-5551	315	1	where	where	SCONJ
ejpam-5551	315	2	,	,	PUNCT
ejpam-5551	315	3	w	w	PROPN
ejpam-5551	315	4	is	be	AUX
ejpam-5551	315	5	the	the	DET
ejpam-5551	315	6	weight	weight	NOUN
ejpam-5551	315	7	coefficient	coefficient	NOUN
ejpam-5551	315	8	,	,	PUNCT
ejpam-5551	315	9	and	and	CCONJ
ejpam-5551	315	10	∑2	∑2	PROPN
ejpam-5551	315	11	i=1wi	i=1wi	PART
ejpam-5551	316	1	=	=	SYM
ejpam-5551	316	2	1	1	X
ejpam-5551	316	3	.	.	PUNCT
ejpam-5551	317	1	the	the	DET
ejpam-5551	317	2	lagrange	lagrange	PROPN
ejpam-5551	317	3	multiplier	multipli	ADJ
ejpam-5551	317	4	method	method	NOUN
ejpam-5551	317	5	is	be	AUX
ejpam-5551	317	6	then	then	ADV
ejpam-5551	317	7	used	use	VERB
ejpam-5551	317	8	to	to	PART
ejpam-5551	317	9	transform	transform	VERB
ejpam-5551	317	10	example	example	NOUN
ejpam-5551	317	11	1	1	NUM
ejpam-5551	317	12	into	into	ADP
ejpam-5551	317	13	an	an	DET
ejpam-5551	317	14	unconstrained	unconstrained	ADJ
ejpam-5551	317	15	optimization	optimization	NOUN
ejpam-5551	317	16	problem	problem	NOUN
ejpam-5551	317	17	as	as	SCONJ
ejpam-5551	317	18	follows	follow	VERB
ejpam-5551	317	19	:	:	PUNCT
ejpam-5551	317	20	min	min	PROPN
ejpam-5551	317	21	f	f	PROPN
ejpam-5551	317	22	(	(	PUNCT
ejpam-5551	317	23	x	x	X
ejpam-5551	317	24	)	)	PUNCT
ejpam-5551	317	25	=	=	SYM
ejpam-5551	317	26	w1f1(x	w1f1(x	PROPN
ejpam-5551	317	27	)	)	PUNCT
ejpam-5551	317	28	+	+	NUM
ejpam-5551	317	29	w2f2(x	w2f2(x	X
ejpam-5551	317	30	)	)	PUNCT
ejpam-5551	317	31	+	+	NUM
ejpam-5551	317	32	λ(−c(x	λ(−c(x	NOUN
ejpam-5551	317	33	)	)	PUNCT
ejpam-5551	317	34	)	)	PUNCT
ejpam-5551	317	35	,	,	PUNCT
ejpam-5551	317	36	where	where	SCONJ
ejpam-5551	317	37	,	,	PUNCT
ejpam-5551	317	38	λ	λ	X
ejpam-5551	317	39	>	>	X
ejpam-5551	317	40	0	0	NUM
ejpam-5551	317	41	is	be	AUX
ejpam-5551	317	42	the	the	DET
ejpam-5551	317	43	lagrange	lagrange	NOUN
ejpam-5551	317	44	multiplier	multiplier	ADV
ejpam-5551	317	45	.	.	PUNCT
ejpam-5551	318	1	this	this	DET
ejpam-5551	318	2	example	example	NOUN
ejpam-5551	318	3	has	have	VERB
ejpam-5551	318	4	an	an	DET
ejpam-5551	318	5	external	external	ADJ
ejpam-5551	318	6	newton	newton	PROPN
ejpam-5551	318	7	method	method	NOUN
ejpam-5551	318	8	iteration	iteration	NOUN
ejpam-5551	318	9	number	number	NOUN
ejpam-5551	318	10	of	of	ADP
ejpam-5551	318	11	3	3	NUM
ejpam-5551	318	12	for	for	ADP
ejpam-5551	318	13	dimensions	dimension	NOUN
ejpam-5551	318	14	10	10	NUM
ejpam-5551	318	15	,	,	PUNCT
ejpam-5551	318	16	50	50	NUM
ejpam-5551	318	17	,	,	PUNCT
ejpam-5551	318	18	and	and	CCONJ
ejpam-5551	318	19	4	4	NUM
ejpam-5551	318	20	for	for	ADP
ejpam-5551	318	21	dimensions	dimension	NOUN
ejpam-5551	318	22	100	100	NUM
ejpam-5551	318	23	,	,	PUNCT
ejpam-5551	318	24	150	150	NUM
ejpam-5551	318	25	,	,	PUNCT
ejpam-5551	318	26	and	and	CCONJ
ejpam-5551	318	27	250	250	NUM
ejpam-5551	318	28	for	for	ADP
ejpam-5551	318	29	an	an	DET
ejpam-5551	318	30	initial	initial	ADJ
ejpam-5551	318	31	point	point	NOUN
ejpam-5551	318	32	of	of	ADP
ejpam-5551	318	33	(	(	PUNCT
ejpam-5551	318	34	1	1	NUM
ejpam-5551	318	35	,	,	PUNCT
ejpam-5551	318	36	1	1	NUM
ejpam-5551	318	37	,	,	PUNCT
ejpam-5551	318	38	...	...	PUNCT
ejpam-5551	318	39	,	,	PUNCT
ejpam-5551	318	40	1	1	NUM
ejpam-5551	318	41	)	)	PUNCT
ejpam-5551	318	42	,	,	PUNCT
ejpam-5551	318	43	and	and	CCONJ
ejpam-5551	318	44	the	the	DET
ejpam-5551	318	45	objective	objective	ADJ
ejpam-5551	318	46	function	function	NOUN
ejpam-5551	318	47	values	value	NOUN
ejpam-5551	318	48	are	be	AUX
ejpam-5551	318	49	all	all	ADV
ejpam-5551	318	50	approximated	approximate	VERB
ejpam-5551	318	51	as	as	ADP
ejpam-5551	318	52	f1(x	f1(x	NOUN
ejpam-5551	318	53	)	)	PUNCT
ejpam-5551	318	54	=	=	SYM
ejpam-5551	318	55	0.8333	0.8333	NUM
ejpam-5551	318	56	,	,	PUNCT
ejpam-5551	318	57	f2(x	f2(x	PROPN
ejpam-5551	318	58	)	)	PUNCT
ejpam-5551	318	59	=	=	SYM
ejpam-5551	318	60	0.3056	0.3056	NUM
ejpam-5551	318	61	.	.	PUNCT
ejpam-5551	319	1	figure	figure	NOUN
ejpam-5551	319	2	1	1	NUM
ejpam-5551	319	3	illustrates	illustrate	VERB
ejpam-5551	319	4	a	a	DET
ejpam-5551	319	5	three	three	NUM
ejpam-5551	319	6	-	-	PUNCT
ejpam-5551	319	7	dimensional	dimensional	ADJ
ejpam-5551	319	8	stereogram	stereogram	NOUN
ejpam-5551	319	9	of	of	ADP
ejpam-5551	319	10	the	the	DET
ejpam-5551	319	11	weighted	weight	VERB
ejpam-5551	319	12	lagrange	lagrange	NOUN
ejpam-5551	319	13	function	function	NOUN
ejpam-5551	319	14	f1(x	f1(x	PROPN
ejpam-5551	319	15	)	)	PUNCT
ejpam-5551	319	16	for	for	ADP
ejpam-5551	319	17	dimension	dimension	NOUN
ejpam-5551	319	18	n	n	NOUN
ejpam-5551	319	19	=	=	SYM
ejpam-5551	319	20	2	2	NUM
ejpam-5551	319	21	.	.	PUNCT
ejpam-5551	320	1	the	the	DET
ejpam-5551	320	2	following	follow	VERB
ejpam-5551	320	3	examples	example	NOUN
ejpam-5551	320	4	are	be	AUX
ejpam-5551	320	5	converted	convert	VERB
ejpam-5551	320	6	using	use	VERB
ejpam-5551	320	7	a	a	DET
ejpam-5551	320	8	similar	similar	ADJ
ejpam-5551	320	9	method	method	NOUN
ejpam-5551	320	10	as	as	ADP
ejpam-5551	320	11	in	in	ADP
ejpam-5551	320	12	example	example	NOUN
ejpam-5551	320	13	1	1	NUM
ejpam-5551	320	14	.	.	PUNCT
ejpam-5551	320	15	example	example	NOUN
ejpam-5551	321	1	2[11	2[11	NUM
ejpam-5551	321	2	]	]	SYM
ejpam-5551	321	3	min	min	NOUN
ejpam-5551	321	4	f1(x	f1(x	PROPN
ejpam-5551	321	5	)	)	PUNCT
ejpam-5551	321	6	=	=	SYM
ejpam-5551	321	7	x1	x1	PROPN
ejpam-5551	321	8	+	+	CCONJ
ejpam-5551	321	9	g1	g1	NOUN
ejpam-5551	321	10	,	,	PUNCT
ejpam-5551	321	11	min	min	NOUN
ejpam-5551	321	12	f2(x	f2(x	PROPN
ejpam-5551	321	13	)	)	PUNCT
ejpam-5551	321	14	=	=	SYM
ejpam-5551	322	1	1−	1−	NUM
ejpam-5551	322	2	x21	x21	NUM
ejpam-5551	323	1	+	+	CCONJ
ejpam-5551	323	2	g2	g2	PROPN
ejpam-5551	323	3	,	,	PUNCT
ejpam-5551	323	4	g1	g1	PROPN
ejpam-5551	323	5	=	=	SYM
ejpam-5551	323	6	∑	∑	PUNCT
ejpam-5551	323	7	i∈i1	i∈i1	PROPN
ejpam-5551	323	8	[	[	X
ejpam-5551	323	9	xi	xi	X
ejpam-5551	323	10	−	−	PROPN
ejpam-5551	323	11	sin(0.5πx1	sin(0.5πx1	NOUN
ejpam-5551	323	12	)	)	PUNCT
ejpam-5551	323	13	]	]	PUNCT
ejpam-5551	323	14	2	2	NUM
ejpam-5551	323	15	,	,	PUNCT
ejpam-5551	323	16	g2	g2	PROPN
ejpam-5551	323	17	=	=	PUNCT
ejpam-5551	323	18	∑	∑	PUNCT
ejpam-5551	323	19	i∈i2	i∈i2	PROPN
ejpam-5551	324	1	[	[	X
ejpam-5551	324	2	xi	xi	ADP
ejpam-5551	324	3	−	−	PROPN
ejpam-5551	324	4	cos(0.5πx1	cos(0.5πx1	NOUN
ejpam-5551	324	5	)	)	PUNCT
ejpam-5551	324	6	]	]	PUNCT
ejpam-5551	324	7	2	2	X
ejpam-5551	324	8	,	,	PUNCT
ejpam-5551	324	9	s.t	s.t	PROPN
ejpam-5551	324	10	.	.	PROPN
ejpam-5551	324	11	c(x	c(x	NOUN
ejpam-5551	324	12	)	)	PUNCT
ejpam-5551	324	13	=	=	PUNCT
ejpam-5551	325	1	sin(aπx1)−	sin(aπx1)−	PROPN
ejpam-5551	325	2	b	b	PROPN
ejpam-5551	325	3	≥	≥	NOUN
ejpam-5551	325	4	0	0	NUM
ejpam-5551	325	5	,	,	PUNCT
ejpam-5551	325	6	i1	i1	PROPN
ejpam-5551	325	7	=	=	PUNCT
ejpam-5551	325	8	{	{	PUNCT
ejpam-5551	325	9	i|i	i|i	NOUN
ejpam-5551	325	10	is	be	AUX
ejpam-5551	325	11	odd	odd	ADJ
ejpam-5551	325	12	and	and	CCONJ
ejpam-5551	325	13	2	2	NUM
ejpam-5551	325	14	≤	≤	NUM
ejpam-5551	325	15	i	i	PRON
ejpam-5551	325	16	≤	≤	NOUN
ejpam-5551	325	17	n	n	CCONJ
ejpam-5551	325	18	}	}	PUNCT
ejpam-5551	325	19	,	,	PUNCT
ejpam-5551	325	20	i2	i2	PROPN
ejpam-5551	325	21	=	=	PUNCT
ejpam-5551	325	22	{	{	PUNCT
ejpam-5551	325	23	i|i	i|i	NOUN
ejpam-5551	325	24	is	be	AUX
ejpam-5551	325	25	even	even	ADV
ejpam-5551	325	26	and	and	CCONJ
ejpam-5551	326	1	2	2	NUM
ejpam-5551	326	2	≤	≤	NUM
ejpam-5551	326	3	i	i	PRON
ejpam-5551	326	4	≤	≤	NOUN
ejpam-5551	326	5	n	n	CCONJ
ejpam-5551	326	6	}	}	PUNCT
ejpam-5551	326	7	,	,	PUNCT
ejpam-5551	326	8	x	x	PUNCT
ejpam-5551	326	9	∈	∈	PROPN
ejpam-5551	327	1	[	[	X
ejpam-5551	327	2	0	0	NUM
ejpam-5551	327	3	,	,	PUNCT
ejpam-5551	327	4	1	1	NUM
ejpam-5551	327	5	]	]	PUNCT
ejpam-5551	327	6	,	,	PUNCT
ejpam-5551	327	7	where	where	SCONJ
ejpam-5551	327	8	a	a	DET
ejpam-5551	327	9	>	>	X
ejpam-5551	327	10	0	0	NUM
ejpam-5551	327	11	,	,	PUNCT
ejpam-5551	327	12	b	b	X
ejpam-5551	327	13	∈	∈	PROPN
ejpam-5551	328	1	[	[	X
ejpam-5551	328	2	−1	−1	NOUN
ejpam-5551	328	3	,	,	PUNCT
ejpam-5551	328	4	1	1	NUM
ejpam-5551	328	5	]	]	PUNCT
ejpam-5551	328	6	.	.	PUNCT
ejpam-5551	329	1	as	as	ADP
ejpam-5551	329	2	an	an	DET
ejpam-5551	329	3	example	example	NOUN
ejpam-5551	329	4	,	,	PUNCT
ejpam-5551	329	5	a	a	DET
ejpam-5551	329	6	=	=	SYM
ejpam-5551	329	7	2	2	NUM
ejpam-5551	329	8	,	,	PUNCT
ejpam-5551	329	9	b	b	X
ejpam-5551	329	10	=	=	SYM
ejpam-5551	329	11	0.1	0.1	NUM
ejpam-5551	329	12	are	be	AUX
ejpam-5551	329	13	set	set	VERB
ejpam-5551	329	14	here	here	ADV
ejpam-5551	329	15	.	.	PUNCT
ejpam-5551	330	1	the	the	DET
ejpam-5551	330	2	weighted	weight	VERB
ejpam-5551	330	3	lagrange	lagrange	PROPN
ejpam-5551	330	4	function	function	NOUN
ejpam-5551	330	5	for	for	ADP
ejpam-5551	330	6	example	example	NOUN
ejpam-5551	330	7	2	2	NUM
ejpam-5551	330	8	is	be	AUX
ejpam-5551	330	9	min	min	NOUN
ejpam-5551	330	10	f2(x	f2(x	PROPN
ejpam-5551	330	11	)	)	PUNCT
ejpam-5551	330	12	=	=	NOUN
ejpam-5551	331	1	w1(x1	w1(x1	PROPN
ejpam-5551	331	2	+	+	CCONJ
ejpam-5551	331	3	g1	g1	NOUN
ejpam-5551	331	4	)	)	PUNCT
ejpam-5551	332	1	+	+	CCONJ
ejpam-5551	332	2	w2(1−	w2(1−	PROPN
ejpam-5551	332	3	x21	x21	PROPN
ejpam-5551	332	4	+	+	CCONJ
ejpam-5551	332	5	g2	g2	PROPN
ejpam-5551	332	6	)	)	PUNCT
ejpam-5551	333	1	+	+	CCONJ
ejpam-5551	334	1	λ(−sin(2πx1)−	λ(−sin(2πx1)−	PROPN
ejpam-5551	334	2	0.1	0.1	NUM
ejpam-5551	334	3	)	)	PUNCT
ejpam-5551	334	4	.	.	PUNCT
ejpam-5551	335	1	p.	p.	NOUN
ejpam-5551	335	2	cheng	cheng	PROPN
ejpam-5551	335	3	et	et	PROPN
ejpam-5551	336	1	al	al	PROPN
ejpam-5551	336	2	.	.	PUNCT
ejpam-5551	336	3	/	/	SYM
ejpam-5551	336	4	eur	eur	PROPN
ejpam-5551	336	5	.	.	PUNCT
ejpam-5551	337	1	j.	j.	PROPN
ejpam-5551	337	2	pure	pure	PROPN
ejpam-5551	337	3	appl	appl	PROPN
ejpam-5551	337	4	.	.	PROPN
ejpam-5551	337	5	math	math	PROPN
ejpam-5551	337	6	,	,	PUNCT
ejpam-5551	337	7	18	18	NUM
ejpam-5551	337	8	(	(	PUNCT
ejpam-5551	337	9	1	1	NUM
ejpam-5551	337	10	)	)	PUNCT
ejpam-5551	337	11	(	(	PUNCT
ejpam-5551	337	12	2025	2025	NUM
ejpam-5551	337	13	)	)	PUNCT
ejpam-5551	337	14	,	,	PUNCT
ejpam-5551	337	15	5551	5551	NUM
ejpam-5551	337	16	14	14	NUM
ejpam-5551	337	17	of	of	ADP
ejpam-5551	337	18	22	22	NUM
ejpam-5551	337	19	this	this	DET
ejpam-5551	337	20	example	example	NOUN
ejpam-5551	337	21	has	have	VERB
ejpam-5551	337	22	an	an	DET
ejpam-5551	337	23	external	external	ADJ
ejpam-5551	337	24	newton	newton	PROPN
ejpam-5551	337	25	method	method	NOUN
ejpam-5551	337	26	iteration	iteration	NOUN
ejpam-5551	337	27	number	number	NOUN
ejpam-5551	337	28	of	of	ADP
ejpam-5551	337	29	2	2	NUM
ejpam-5551	337	30	for	for	ADP
ejpam-5551	337	31	dimensions	dimension	NOUN
ejpam-5551	337	32	10	10	NUM
ejpam-5551	337	33	,	,	PUNCT
ejpam-5551	337	34	50	50	NUM
ejpam-5551	337	35	,	,	PUNCT
ejpam-5551	337	36	and	and	CCONJ
ejpam-5551	337	37	3	3	NUM
ejpam-5551	337	38	for	for	ADP
ejpam-5551	337	39	dimensions	dimension	NOUN
ejpam-5551	337	40	100	100	NUM
ejpam-5551	337	41	,	,	PUNCT
ejpam-5551	337	42	150	150	NUM
ejpam-5551	337	43	,	,	PUNCT
ejpam-5551	337	44	and	and	CCONJ
ejpam-5551	337	45	250	250	NUM
ejpam-5551	337	46	for	for	ADP
ejpam-5551	337	47	an	an	DET
ejpam-5551	337	48	initial	initial	ADJ
ejpam-5551	337	49	point	point	NOUN
ejpam-5551	337	50	of	of	ADP
ejpam-5551	337	51	(	(	PUNCT
ejpam-5551	337	52	0.5,0.4,0.5	0.5,0.4,0.5	NUM
ejpam-5551	337	53	,	,	PUNCT
ejpam-5551	337	54	0.4	0.4	NUM
ejpam-5551	337	55	,	,	PUNCT
ejpam-5551	337	56	.	.	PUNCT
ejpam-5551	337	57	.	.	PUNCT
ejpam-5551	337	58	.	.	PUNCT
ejpam-5551	338	1	,	,	PUNCT
ejpam-5551	338	2	0.5,0.4	0.5,0.4	NUM
ejpam-5551	338	3	)	)	PUNCT
ejpam-5551	338	4	,	,	PUNCT
ejpam-5551	338	5	and	and	CCONJ
ejpam-5551	338	6	the	the	DET
ejpam-5551	338	7	objective	objective	ADJ
ejpam-5551	338	8	function	function	NOUN
ejpam-5551	338	9	values	value	NOUN
ejpam-5551	338	10	are	be	AUX
ejpam-5551	338	11	all	all	ADV
ejpam-5551	338	12	approximated	approximate	VERB
ejpam-5551	338	13	as	as	ADP
ejpam-5551	338	14	f1(x	f1(x	NOUN
ejpam-5551	338	15	)	)	PUNCT
ejpam-5551	338	16	=	=	SYM
ejpam-5551	338	17	0.4841	0.4841	NUM
ejpam-5551	338	18	,	,	PUNCT
ejpam-5551	338	19	f2(x	f2(x	NUM
ejpam-5551	338	20	)	)	PUNCT
ejpam-5551	338	21	=	=	NOUN
ejpam-5551	338	22	0.7657	0.7657	NUM
ejpam-5551	338	23	.	.	PUNCT
ejpam-5551	339	1	figure	figure	NOUN
ejpam-5551	339	2	2	2	NUM
ejpam-5551	339	3	illustrates	illustrate	VERB
ejpam-5551	339	4	a	a	DET
ejpam-5551	339	5	three	three	NUM
ejpam-5551	339	6	-	-	PUNCT
ejpam-5551	339	7	dimensional	dimensional	ADJ
ejpam-5551	339	8	stereogram	stereogram	NOUN
ejpam-5551	339	9	of	of	ADP
ejpam-5551	339	10	the	the	DET
ejpam-5551	339	11	weighted	weight	VERB
ejpam-5551	339	12	lagrange	lagrange	PROPN
ejpam-5551	339	13	function	function	NOUN
ejpam-5551	339	14	f2(x	f2(x	PROPN
ejpam-5551	339	15	)	)	PUNCT
ejpam-5551	339	16	for	for	ADP
ejpam-5551	339	17	dimension	dimension	NOUN
ejpam-5551	339	18	n	n	NOUN
ejpam-5551	339	19	=	=	SYM
ejpam-5551	339	20	2	2	NUM
ejpam-5551	339	21	.	.	NOUN
ejpam-5551	339	22	example	example	NOUN
ejpam-5551	340	1	3[11	3[11	NUM
ejpam-5551	340	2	]	]	SYM
ejpam-5551	340	3	min	min	NOUN
ejpam-5551	340	4	f1(x	f1(x	PROPN
ejpam-5551	340	5	)	)	PUNCT
ejpam-5551	340	6	=	=	SYM
ejpam-5551	340	7	x1	x1	PROPN
ejpam-5551	340	8	+	+	CCONJ
ejpam-5551	340	9	g1	g1	NOUN
ejpam-5551	340	10	,	,	PUNCT
ejpam-5551	340	11	min	min	NOUN
ejpam-5551	340	12	f2(x	f2(x	PROPN
ejpam-5551	340	13	)	)	PUNCT
ejpam-5551	340	14	=	=	SYM
ejpam-5551	341	1	1−	1−	NUM
ejpam-5551	341	2	√	√	NUM
ejpam-5551	342	1	x1	x1	PROPN
ejpam-5551	343	1	+	+	CCONJ
ejpam-5551	343	2	g2	g2	PROPN
ejpam-5551	343	3	,	,	PUNCT
ejpam-5551	343	4	g1	g1	PROPN
ejpam-5551	343	5	=	=	SYM
ejpam-5551	343	6	∑	∑	PUNCT
ejpam-5551	343	7	i∈i1	i∈i1	PROPN
ejpam-5551	344	1	[	[	X
ejpam-5551	344	2	xi	xi	X
ejpam-5551	344	3	−	−	PROPN
ejpam-5551	344	4	sin(0.5πx1	sin(0.5πx1	NOUN
ejpam-5551	344	5	)	)	PUNCT
ejpam-5551	344	6	]	]	PUNCT
ejpam-5551	344	7	2	2	NUM
ejpam-5551	344	8	,	,	PUNCT
ejpam-5551	344	9	g2	g2	PROPN
ejpam-5551	344	10	=	=	PUNCT
ejpam-5551	345	1	∑	∑	PUNCT
ejpam-5551	345	2	i∈i2	i∈i2	PROPN
ejpam-5551	346	1	[	[	X
ejpam-5551	346	2	xi	xi	ADP
ejpam-5551	346	3	−	−	PROPN
ejpam-5551	346	4	cos(0.5πx1	cos(0.5πx1	NOUN
ejpam-5551	346	5	)	)	PUNCT
ejpam-5551	346	6	]	]	PUNCT
ejpam-5551	346	7	2	2	X
ejpam-5551	346	8	,	,	PUNCT
ejpam-5551	346	9	s.t	s.t	PROPN
ejpam-5551	346	10	.	.	PROPN
ejpam-5551	346	11	c(x	c(x	NOUN
ejpam-5551	346	12	)	)	PUNCT
ejpam-5551	346	13	=	=	PUNCT
ejpam-5551	347	1	sin(aπx1)−	sin(aπx1)−	PROPN
ejpam-5551	347	2	b	b	PROPN
ejpam-5551	347	3	≥	≥	NOUN
ejpam-5551	347	4	0	0	NUM
ejpam-5551	347	5	,	,	PUNCT
ejpam-5551	347	6	i1	i1	PROPN
ejpam-5551	347	7	=	=	PUNCT
ejpam-5551	347	8	{	{	PUNCT
ejpam-5551	347	9	i|i	i|i	NOUN
ejpam-5551	347	10	is	be	AUX
ejpam-5551	347	11	odd	odd	ADJ
ejpam-5551	347	12	and	and	CCONJ
ejpam-5551	347	13	2	2	NUM
ejpam-5551	347	14	≤	≤	NUM
ejpam-5551	347	15	i	i	PRON
ejpam-5551	347	16	≤	≤	NOUN
ejpam-5551	347	17	n	n	CCONJ
ejpam-5551	347	18	}	}	PUNCT
ejpam-5551	347	19	,	,	PUNCT
ejpam-5551	347	20	i2	i2	PROPN
ejpam-5551	347	21	=	=	PUNCT
ejpam-5551	347	22	{	{	PUNCT
ejpam-5551	347	23	i|i	i|i	NOUN
ejpam-5551	347	24	is	be	AUX
ejpam-5551	347	25	even	even	ADV
ejpam-5551	347	26	and	and	CCONJ
ejpam-5551	348	1	2	2	NUM
ejpam-5551	348	2	≤	≤	NUM
ejpam-5551	348	3	i	i	PRON
ejpam-5551	348	4	≤	≤	NOUN
ejpam-5551	348	5	n	n	CCONJ
ejpam-5551	348	6	}	}	PUNCT
ejpam-5551	348	7	,	,	PUNCT
ejpam-5551	348	8	x	x	PUNCT
ejpam-5551	348	9	∈	∈	PROPN
ejpam-5551	349	1	[	[	X
ejpam-5551	349	2	0	0	NUM
ejpam-5551	349	3	,	,	PUNCT
ejpam-5551	349	4	1	1	NUM
ejpam-5551	349	5	]	]	PUNCT
ejpam-5551	349	6	,	,	PUNCT
ejpam-5551	349	7	where	where	SCONJ
ejpam-5551	349	8	a	a	DET
ejpam-5551	349	9	>	>	X
ejpam-5551	349	10	0	0	NUM
ejpam-5551	349	11	,	,	PUNCT
ejpam-5551	349	12	b	b	X
ejpam-5551	349	13	∈	∈	PROPN
ejpam-5551	350	1	[	[	X
ejpam-5551	350	2	−1	−1	NOUN
ejpam-5551	350	3	,	,	PUNCT
ejpam-5551	350	4	1	1	NUM
ejpam-5551	350	5	]	]	PUNCT
ejpam-5551	350	6	.	.	PUNCT
ejpam-5551	351	1	as	as	ADP
ejpam-5551	351	2	an	an	DET
ejpam-5551	351	3	example	example	NOUN
ejpam-5551	351	4	,	,	PUNCT
ejpam-5551	351	5	a	a	DET
ejpam-5551	351	6	=	=	SYM
ejpam-5551	351	7	2	2	NUM
ejpam-5551	351	8	,	,	PUNCT
ejpam-5551	351	9	b	b	X
ejpam-5551	351	10	=	=	SYM
ejpam-5551	351	11	0.2	0.2	NUM
ejpam-5551	351	12	are	be	AUX
ejpam-5551	351	13	set	set	VERB
ejpam-5551	351	14	here	here	ADV
ejpam-5551	351	15	.	.	PUNCT
ejpam-5551	352	1	the	the	DET
ejpam-5551	352	2	weighted	weight	VERB
ejpam-5551	352	3	lagrange	lagrange	PROPN
ejpam-5551	352	4	function	function	NOUN
ejpam-5551	352	5	for	for	ADP
ejpam-5551	352	6	example	example	NOUN
ejpam-5551	352	7	2	2	NUM
ejpam-5551	352	8	is	be	AUX
ejpam-5551	352	9	min	min	NOUN
ejpam-5551	352	10	f3(x	f3(x	PROPN
ejpam-5551	352	11	)	)	PUNCT
ejpam-5551	352	12	=	=	SYM
ejpam-5551	353	1	w1(x1	w1(x1	PROPN
ejpam-5551	353	2	+	+	CCONJ
ejpam-5551	353	3	g1	g1	NOUN
ejpam-5551	353	4	)	)	PUNCT
ejpam-5551	354	1	+	+	CCONJ
ejpam-5551	355	1	w2(1−	w2(1−	ADJ
ejpam-5551	355	2	√	√	INTJ
ejpam-5551	355	3	x1	x1	PROPN
ejpam-5551	356	1	+	+	X
ejpam-5551	356	2	g2	g2	NOUN
ejpam-5551	356	3	)	)	PUNCT
ejpam-5551	357	1	+	+	CCONJ
ejpam-5551	357	2	λ(−sin(2πx1)−	λ(−sin(2πx1)−	PROPN
ejpam-5551	357	3	0.2	0.2	NUM
ejpam-5551	357	4	)	)	PUNCT
ejpam-5551	357	5	.	.	PUNCT
ejpam-5551	358	1	example	example	NOUN
ejpam-5551	358	2	3	3	NUM
ejpam-5551	358	3	has	have	VERB
ejpam-5551	358	4	an	an	DET
ejpam-5551	358	5	external	external	ADJ
ejpam-5551	358	6	newton	newton	PROPN
ejpam-5551	358	7	method	method	NOUN
ejpam-5551	358	8	iteration	iteration	NOUN
ejpam-5551	358	9	number	number	NOUN
ejpam-5551	358	10	of	of	ADP
ejpam-5551	358	11	2	2	NUM
ejpam-5551	358	12	for	for	ADP
ejpam-5551	358	13	dimensions	dimension	NOUN
ejpam-5551	358	14	10	10	NUM
ejpam-5551	358	15	and	and	CCONJ
ejpam-5551	358	16	3	3	NUM
ejpam-5551	358	17	for	for	ADP
ejpam-5551	358	18	dimensions	dimension	NOUN
ejpam-5551	358	19	50	50	NUM
ejpam-5551	358	20	,	,	PUNCT
ejpam-5551	358	21	100	100	NUM
ejpam-5551	358	22	,	,	PUNCT
ejpam-5551	358	23	150	150	NUM
ejpam-5551	358	24	,	,	PUNCT
ejpam-5551	358	25	and	and	CCONJ
ejpam-5551	358	26	250	250	NUM
ejpam-5551	358	27	for	for	ADP
ejpam-5551	358	28	an	an	DET
ejpam-5551	358	29	initial	initial	ADJ
ejpam-5551	358	30	point	point	NOUN
ejpam-5551	358	31	of	of	ADP
ejpam-5551	358	32	(	(	PUNCT
ejpam-5551	358	33	0.5,0.8,0.5,0.8	0.5,0.8,0.5,0.8	NOUN
ejpam-5551	358	34	,	,	PUNCT
ejpam-5551	358	35	.	.	PUNCT
ejpam-5551	358	36	.	.	PUNCT
ejpam-5551	359	1	.	.	PUNCT
ejpam-5551	360	1	,	,	PUNCT
ejpam-5551	360	2	0.5,0.8	0.5,0.8	PROPN
ejpam-5551	360	3	)	)	PUNCT
ejpam-5551	360	4	,	,	PUNCT
ejpam-5551	360	5	and	and	CCONJ
ejpam-5551	360	6	the	the	DET
ejpam-5551	360	7	objective	objective	ADJ
ejpam-5551	360	8	function	function	NOUN
ejpam-5551	360	9	values	value	NOUN
ejpam-5551	360	10	are	be	AUX
ejpam-5551	360	11	all	all	ADV
ejpam-5551	360	12	approximated	approximate	VERB
ejpam-5551	360	13	as	as	ADP
ejpam-5551	360	14	f1(x	f1(x	NOUN
ejpam-5551	360	15	)	)	PUNCT
ejpam-5551	360	16	=	=	SYM
ejpam-5551	360	17	0.4680,f2(x	0.4680,f2(x	NOUN
ejpam-5551	360	18	)	)	PUNCT
ejpam-5551	360	19	=	=	SYM
ejpam-5551	360	20	0.3159	0.3159	NUM
ejpam-5551	360	21	.	.	PUNCT
ejpam-5551	361	1	figure	figure	NOUN
ejpam-5551	361	2	3	3	NUM
ejpam-5551	361	3	illustrates	illustrate	VERB
ejpam-5551	361	4	a	a	DET
ejpam-5551	361	5	three	three	NUM
ejpam-5551	361	6	-	-	PUNCT
ejpam-5551	361	7	dimensional	dimensional	ADJ
ejpam-5551	361	8	stereogram	stereogram	NOUN
ejpam-5551	361	9	of	of	ADP
ejpam-5551	361	10	the	the	DET
ejpam-5551	361	11	weighted	weight	VERB
ejpam-5551	361	12	lagrange	lagrange	PROPN
ejpam-5551	361	13	function	function	VERB
ejpam-5551	361	14	f3(x	f3(x	PROPN
ejpam-5551	361	15	)	)	PUNCT
ejpam-5551	361	16	for	for	ADP
ejpam-5551	361	17	dimension	dimension	NOUN
ejpam-5551	361	18	n=2	n=2	AUX
ejpam-5551	361	19	.	.	PUNCT
ejpam-5551	361	20	example	example	NOUN
ejpam-5551	362	1	4[19	4[19	NUM
ejpam-5551	362	2	]	]	SYM
ejpam-5551	362	3	min	min	NOUN
ejpam-5551	362	4	f1(x	f1(x	PROPN
ejpam-5551	362	5	)	)	PUNCT
ejpam-5551	362	6	=	=	PUNCT
ejpam-5551	363	1	(	(	PUNCT
ejpam-5551	363	2	1	1	NUM
ejpam-5551	363	3	+	+	NUM
ejpam-5551	363	4	g)cos	g)co	NOUN
ejpam-5551	363	5	(	(	PUNCT
ejpam-5551	363	6	x1π	x1π	ADP
ejpam-5551	363	7	2	2	NUM
ejpam-5551	363	8	)	)	PUNCT
ejpam-5551	363	9	·	·	PUNCT
ejpam-5551	363	10	·	·	PUNCT
ejpam-5551	363	11	·	·	PUNCT
ejpam-5551	363	12	cos(xm−1π	cos(xm−1π	NUM
ejpam-5551	363	13	2	2	NUM
ejpam-5551	363	14	)	)	PUNCT
ejpam-5551	363	15	,	,	PUNCT
ejpam-5551	363	16	min	min	PROPN
ejpam-5551	363	17	f1(x	f1(x	PROPN
ejpam-5551	363	18	)	)	PUNCT
ejpam-5551	363	19	=	=	PUNCT
ejpam-5551	363	20	(	(	PUNCT
ejpam-5551	363	21	1	1	NUM
ejpam-5551	363	22	+	+	NUM
ejpam-5551	363	23	g)cos	g)co	NOUN
ejpam-5551	363	24	(	(	PUNCT
ejpam-5551	363	25	x1π	x1π	ADP
ejpam-5551	363	26	2	2	NUM
ejpam-5551	363	27	)	)	PUNCT
ejpam-5551	363	28	·	·	PUNCT
ejpam-5551	363	29	·	·	PUNCT
ejpam-5551	363	30	·	·	PUNCT
ejpam-5551	363	31	sin(xm−1π	sin(xm−1π	PROPN
ejpam-5551	363	32	2	2	NUM
ejpam-5551	363	33	)	)	PUNCT
ejpam-5551	363	34	,	,	PUNCT
ejpam-5551	363	35	...	...	PUNCT
ejpam-5551	363	36	min	min	PROPN
ejpam-5551	363	37	fm	fm	PROPN
ejpam-5551	363	38	(	(	PUNCT
ejpam-5551	363	39	x	x	X
ejpam-5551	363	40	)	)	PUNCT
ejpam-5551	363	41	=	=	SYM
ejpam-5551	363	42	(	(	PUNCT
ejpam-5551	363	43	1	1	NUM
ejpam-5551	363	44	+	+	CCONJ
ejpam-5551	363	45	g)sin	g)sin	PROPN
ejpam-5551	363	46	(	(	PUNCT
ejpam-5551	363	47	x1π	x1π	ADP
ejpam-5551	363	48	2	2	NUM
ejpam-5551	363	49	)	)	PUNCT
ejpam-5551	363	50	,	,	PUNCT
ejpam-5551	363	51	g	g	PROPN
ejpam-5551	363	52	=	=	SYM
ejpam-5551	363	53	n∑	n∑	PROPN
ejpam-5551	363	54	i	i	PRON
ejpam-5551	363	55	=	=	VERB
ejpam-5551	363	56	m	m	PROPN
ejpam-5551	363	57	(	(	PUNCT
ejpam-5551	363	58	xi	xi	ADP
ejpam-5551	363	59	−	−	PROPN
ejpam-5551	363	60	0.5)2	0.5)2	PROPN
ejpam-5551	363	61	,	,	PUNCT
ejpam-5551	363	62	s.t	s.t	PROPN
ejpam-5551	363	63	.	.	PROPN
ejpam-5551	363	64	c(x	c(x	NOUN
ejpam-5551	363	65	)	)	PUNCT
ejpam-5551	363	66	=	=	PUNCT
ejpam-5551	364	1	m∑	m∑	INTJ
ejpam-5551	364	2	i=1	i=1	PROPN
ejpam-5551	365	1	(	(	PUNCT
ejpam-5551	365	2	fi(x)−	fi(x)−	NOUN
ejpam-5551	365	3	σ)2	σ)2	PROPN
ejpam-5551	365	4	−	−	PROPN
ejpam-5551	365	5	r2	r2	PROPN
ejpam-5551	365	6	≥	≥	NOUN
ejpam-5551	365	7	0	0	NUM
ejpam-5551	365	8	,	,	PUNCT
ejpam-5551	365	9	x	x	SYM
ejpam-5551	365	10	∈	∈	PROPN
ejpam-5551	366	1	[	[	X
ejpam-5551	366	2	0	0	NUM
ejpam-5551	366	3	,	,	PUNCT
ejpam-5551	366	4	1	1	NUM
ejpam-5551	366	5	]	]	PUNCT
ejpam-5551	366	6	,	,	PUNCT
ejpam-5551	366	7	p.	p.	PROPN
ejpam-5551	366	8	cheng	cheng	PROPN
ejpam-5551	366	9	et	et	PROPN
ejpam-5551	366	10	al	al	PROPN
ejpam-5551	366	11	.	.	PUNCT
ejpam-5551	366	12	/	/	SYM
ejpam-5551	366	13	eur	eur	PROPN
ejpam-5551	366	14	.	.	PUNCT
ejpam-5551	367	1	j.	j.	PROPN
ejpam-5551	367	2	pure	pure	PROPN
ejpam-5551	367	3	appl	appl	PROPN
ejpam-5551	367	4	.	.	PROPN
ejpam-5551	367	5	math	math	PROPN
ejpam-5551	367	6	,	,	PUNCT
ejpam-5551	367	7	18	18	NUM
ejpam-5551	367	8	(	(	PUNCT
ejpam-5551	367	9	1	1	NUM
ejpam-5551	367	10	)	)	PUNCT
ejpam-5551	367	11	(	(	PUNCT
ejpam-5551	367	12	2025	2025	NUM
ejpam-5551	367	13	)	)	PUNCT
ejpam-5551	367	14	,	,	PUNCT
ejpam-5551	367	15	5551	5551	NUM
ejpam-5551	367	16	15	15	NUM
ejpam-5551	367	17	of	of	ADP
ejpam-5551	367	18	22	22	NUM
ejpam-5551	367	19	where	where	SCONJ
ejpam-5551	367	20	m	m	VERB
ejpam-5551	367	21	=	=	SYM
ejpam-5551	367	22	2	2	NUM
ejpam-5551	367	23	,	,	PUNCT
ejpam-5551	367	24	σ	σ	NOUN
ejpam-5551	367	25	=	=	SYM
ejpam-5551	367	26	1	1	NUM
ejpam-5551	367	27	m	m	NOUN
ejpam-5551	367	28	∑m	∑m	PROPN
ejpam-5551	367	29	i=1	i=1	PROPN
ejpam-5551	367	30	fi(x	fi(x	PROPN
ejpam-5551	367	31	)	)	PUNCT
ejpam-5551	367	32	,	,	PUNCT
ejpam-5551	367	33	r	r	NOUN
ejpam-5551	367	34	=	=	NOUN
ejpam-5551	367	35	0.225	0.225	NUM
ejpam-5551	367	36	.	.	PUNCT
ejpam-5551	368	1	the	the	DET
ejpam-5551	368	2	weighted	weight	VERB
ejpam-5551	368	3	lagrange	lagrange	PROPN
ejpam-5551	368	4	function	function	NOUN
ejpam-5551	368	5	for	for	ADP
ejpam-5551	368	6	example	example	NOUN
ejpam-5551	368	7	2	2	NUM
ejpam-5551	368	8	is	be	AUX
ejpam-5551	368	9	min	min	NOUN
ejpam-5551	368	10	f2(x	f2(x	PROPN
ejpam-5551	368	11	)	)	PUNCT
ejpam-5551	368	12	=	=	SYM
ejpam-5551	368	13	w1f1(x	w1f1(x	PROPN
ejpam-5551	368	14	)	)	PUNCT
ejpam-5551	368	15	+	+	NUM
ejpam-5551	368	16	w2f2(x	w2f2(x	X
ejpam-5551	368	17	)	)	PUNCT
ejpam-5551	368	18	+	+	NUM
ejpam-5551	368	19	λ	λ	NOUN
ejpam-5551	368	20	{	{	PUNCT
ejpam-5551	368	21	−	−	PUNCT
ejpam-5551	369	1	[	[	X
ejpam-5551	369	2	(	(	PUNCT
ejpam-5551	369	3	f1(x)−	f1(x)−	PROPN
ejpam-5551	369	4	1	1	NUM
ejpam-5551	369	5	2	2	NUM
ejpam-5551	369	6	(	(	PUNCT
ejpam-5551	369	7	f1(x	f1(x	NUM
ejpam-5551	369	8	)	)	PUNCT
ejpam-5551	369	9	+	+	CCONJ
ejpam-5551	369	10	f2(x	f2(x	NOUN
ejpam-5551	369	11	)	)	PUNCT
ejpam-5551	369	12	)	)	PUNCT
ejpam-5551	369	13	)	)	PUNCT
ejpam-5551	369	14	2	2	X
ejpam-5551	370	1	+	+	CCONJ
ejpam-5551	370	2	(	(	PUNCT
ejpam-5551	370	3	f2(x)−	f2(x)−	NOUN
ejpam-5551	370	4	1	1	NUM
ejpam-5551	370	5	2	2	NUM
ejpam-5551	370	6	(	(	PUNCT
ejpam-5551	370	7	f1(x	f1(x	NUM
ejpam-5551	370	8	)	)	PUNCT
ejpam-5551	370	9	+	+	CCONJ
ejpam-5551	370	10	f2(x	f2(x	NOUN
ejpam-5551	370	11	)	)	PUNCT
ejpam-5551	370	12	)	)	PUNCT
ejpam-5551	370	13	)	)	PUNCT
ejpam-5551	370	14	2	2	NUM
ejpam-5551	370	15	−	−	NOUN
ejpam-5551	370	16	0.2252	0.2252	NUM
ejpam-5551	370	17	]	]	PUNCT
ejpam-5551	370	18	}	}	PUNCT
ejpam-5551	370	19	,	,	PUNCT
ejpam-5551	370	20	where	where	SCONJ
ejpam-5551	370	21	,	,	PUNCT
ejpam-5551	370	22	f1(x	f1(x	PROPN
ejpam-5551	370	23	)	)	PUNCT
ejpam-5551	370	24	=	=	SYM
ejpam-5551	370	25	(	(	PUNCT
ejpam-5551	370	26	1	1	NUM
ejpam-5551	370	27	+	+	NUM
ejpam-5551	370	28	g)cos(x1π	g)cos(x1π	NOUN
ejpam-5551	370	29	2	2	NUM
ejpam-5551	370	30	)	)	PUNCT
ejpam-5551	370	31	,	,	PUNCT
ejpam-5551	370	32	f2(x	f2(x	PROPN
ejpam-5551	370	33	)	)	PUNCT
ejpam-5551	370	34	=	=	NOUN
ejpam-5551	370	35	(	(	PUNCT
ejpam-5551	370	36	1	1	NUM
ejpam-5551	370	37	+	+	CCONJ
ejpam-5551	370	38	g)sin(x1π	g)sin(x1π	X
ejpam-5551	370	39	2	2	NUM
ejpam-5551	370	40	)	)	PUNCT
ejpam-5551	370	41	,	,	PUNCT
ejpam-5551	370	42	g(x	g(x	NOUN
ejpam-5551	370	43	)	)	PUNCT
ejpam-5551	370	44	=	=	SYM
ejpam-5551	371	1	(	(	PUNCT
ejpam-5551	371	2	x2	x2	INTJ
ejpam-5551	371	3	−	−	PROPN
ejpam-5551	371	4	0.5)2	0.5)2	NOUN
ejpam-5551	371	5	.	.	PUNCT
ejpam-5551	372	1	this	this	DET
ejpam-5551	372	2	example	example	NOUN
ejpam-5551	372	3	has	have	VERB
ejpam-5551	372	4	4	4	NUM
ejpam-5551	372	5	external	external	PROPN
ejpam-5551	372	6	newton	newton	PROPN
ejpam-5551	372	7	’s	’s	PART
ejpam-5551	372	8	method	method	NOUN
ejpam-5551	372	9	iterations	iteration	NOUN
ejpam-5551	372	10	for	for	ADP
ejpam-5551	372	11	dimension	dimension	NOUN
ejpam-5551	372	12	10	10	NUM
ejpam-5551	372	13	,	,	PUNCT
ejpam-5551	372	14	5	5	NUM
ejpam-5551	372	15	external	external	ADJ
ejpam-5551	372	16	for	for	ADP
ejpam-5551	372	17	dimension	dimension	NOUN
ejpam-5551	372	18	50	50	NUM
ejpam-5551	372	19	,	,	PUNCT
ejpam-5551	372	20	6	6	NUM
ejpam-5551	372	21	external	external	ADJ
ejpam-5551	372	22	for	for	ADP
ejpam-5551	372	23	dimensions	dimension	NOUN
ejpam-5551	372	24	100	100	NUM
ejpam-5551	372	25	and	and	CCONJ
ejpam-5551	372	26	150	150	NUM
ejpam-5551	372	27	,	,	PUNCT
ejpam-5551	372	28	and	and	CCONJ
ejpam-5551	372	29	8	8	NUM
ejpam-5551	372	30	external	external	ADJ
ejpam-5551	372	31	for	for	ADP
ejpam-5551	372	32	dimension	dimension	NOUN
ejpam-5551	372	33	250	250	NUM
ejpam-5551	372	34	with	with	ADP
ejpam-5551	372	35	initial	initial	ADJ
ejpam-5551	372	36	points	point	NOUN
ejpam-5551	372	37	(	(	PUNCT
ejpam-5551	372	38	0.2,0.4,0.3,0.4,	0.2,0.4,0.3,0.4,	PROPN
ejpam-5551	372	39	...	...	PUNCT
ejpam-5551	372	40	,0.3,0.4	,0.3,0.4	PUNCT
ejpam-5551	372	41	)	)	PUNCT
ejpam-5551	372	42	,	,	PUNCT
ejpam-5551	372	43	and	and	CCONJ
ejpam-5551	372	44	the	the	DET
ejpam-5551	372	45	objective	objective	ADJ
ejpam-5551	372	46	function	function	NOUN
ejpam-5551	372	47	values	value	NOUN
ejpam-5551	372	48	are	be	AUX
ejpam-5551	372	49	all	all	PRON
ejpam-5551	372	50	approximated	approximate	VERB
ejpam-5551	372	51	by	by	ADP
ejpam-5551	372	52	f1(x	f1(x	NOUN
ejpam-5551	372	53	)	)	PUNCT
ejpam-5551	372	54	=	=	SYM
ejpam-5551	372	55	0.9579	0.9579	NUM
ejpam-5551	372	56	,	,	PUNCT
ejpam-5551	372	57	f2(x	f2(x	NUM
ejpam-5551	372	58	)	)	PUNCT
ejpam-5551	372	59	=	=	SYM
ejpam-5551	372	60	0.2871	0.2871	NUM
ejpam-5551	372	61	.	.	PUNCT
ejpam-5551	373	1	figure	figure	NOUN
ejpam-5551	373	2	4	4	NUM
ejpam-5551	373	3	illustrates	illustrate	VERB
ejpam-5551	373	4	a	a	DET
ejpam-5551	373	5	three	three	NUM
ejpam-5551	373	6	-	-	PUNCT
ejpam-5551	373	7	dimensional	dimensional	ADJ
ejpam-5551	373	8	stereogram	stereogram	NOUN
ejpam-5551	373	9	of	of	ADP
ejpam-5551	373	10	the	the	DET
ejpam-5551	373	11	weighted	weight	VERB
ejpam-5551	373	12	lagrangian	lagrangian	ADJ
ejpam-5551	373	13	function	function	NOUN
ejpam-5551	373	14	f4(x	f4(x	NOUN
ejpam-5551	373	15	)	)	PUNCT
ejpam-5551	373	16	for	for	ADP
ejpam-5551	373	17	dimension	dimension	NOUN
ejpam-5551	373	18	n	n	NOUN
ejpam-5551	373	19	=	=	SYM
ejpam-5551	373	20	2	2	NUM
ejpam-5551	373	21	.	.	PUNCT
ejpam-5551	374	1	the	the	DET
ejpam-5551	374	2	threedimensional	threedimensional	ADJ
ejpam-5551	374	3	stereograms	stereogram	NOUN
ejpam-5551	374	4	of	of	ADP
ejpam-5551	374	5	figures	figure	NOUN
ejpam-5551	374	6	1	1	NUM
ejpam-5551	374	7	-	-	PUNCT
ejpam-5551	374	8	figure	figure	NOUN
ejpam-5551	374	9	4	4	NUM
ejpam-5551	374	10	show	show	VERB
ejpam-5551	374	11	the	the	DET
ejpam-5551	374	12	location	location	NOUN
ejpam-5551	374	13	of	of	ADP
ejpam-5551	374	14	the	the	DET
ejpam-5551	374	15	minimum	minimum	ADJ
ejpam-5551	374	16	value	value	NOUN
ejpam-5551	374	17	of	of	ADP
ejpam-5551	374	18	the	the	DET
ejpam-5551	374	19	weighted	weight	VERB
ejpam-5551	374	20	lagrange	lagrange	NOUN
ejpam-5551	374	21	function	function	NOUN
ejpam-5551	374	22	in	in	ADP
ejpam-5551	374	23	the	the	DET
ejpam-5551	374	24	feasible	feasible	ADJ
ejpam-5551	374	25	domain	domain	NOUN
ejpam-5551	374	26	for	for	ADP
ejpam-5551	374	27	the	the	DET
ejpam-5551	374	28	four	four	NUM
ejpam-5551	374	29	examples	example	NOUN
ejpam-5551	374	30	.	.	PUNCT
ejpam-5551	375	1	the	the	DET
ejpam-5551	375	2	explanation	explanation	NOUN
ejpam-5551	375	3	of	of	ADP
ejpam-5551	375	4	the	the	DET
ejpam-5551	375	5	symbols	symbol	NOUN
ejpam-5551	375	6	is	be	AUX
ejpam-5551	375	7	first	first	ADV
ejpam-5551	375	8	given	give	VERB
ejpam-5551	375	9	by	by	ADP
ejpam-5551	375	10	table	table	NOUN
ejpam-5551	375	11	1	1	NUM
ejpam-5551	375	12	.	.	PUNCT
ejpam-5551	375	13	table	table	NOUN
ejpam-5551	375	14	1	1	NUM
ejpam-5551	375	15	:	:	PUNCT
ejpam-5551	375	16	description	description	NOUN
ejpam-5551	375	17	of	of	ADP
ejpam-5551	375	18	symbols	symbol	NOUN
ejpam-5551	375	19	used	use	VERB
ejpam-5551	375	20	in	in	ADP
ejpam-5551	375	21	the	the	DET
ejpam-5551	375	22	result	result	NOUN
ejpam-5551	375	23	display	display	NOUN
ejpam-5551	375	24	.	.	PUNCT
ejpam-5551	376	1	notation	notation	NOUN
ejpam-5551	376	2	description	description	NOUN
ejpam-5551	376	3	n	n	PRON
ejpam-5551	376	4	test	test	NOUN
ejpam-5551	376	5	number	number	NOUN
ejpam-5551	376	6	n	n	PRON
ejpam-5551	376	7	number	number	NOUN
ejpam-5551	376	8	of	of	ADP
ejpam-5551	376	9	variables	variable	NOUN
ejpam-5551	376	10	gs	gs	PROPN
ejpam-5551	376	11	gauss	gauss	PROPN
ejpam-5551	376	12	-	-	PUNCT
ejpam-5551	376	13	seidel	seidel	PROPN
ejpam-5551	376	14	method	method	NOUN
ejpam-5551	376	15	2eggs	2eggs	NUM
ejpam-5551	376	16	2	2	NUM
ejpam-5551	376	17	-	-	PUNCT
ejpam-5551	376	18	point	point	NOUN
ejpam-5551	376	19	explicit	explicit	ADJ
ejpam-5551	376	20	group	group	NOUN
ejpam-5551	376	21	gs	gs	ADP
ejpam-5551	376	22	4eggs	4eggs	NUM
ejpam-5551	376	23	4	4	NUM
ejpam-5551	376	24	-	-	PUNCT
ejpam-5551	376	25	point	point	NOUN
ejpam-5551	376	26	explicit	explicit	ADJ
ejpam-5551	376	27	group	group	NOUN
ejpam-5551	376	28	gs	gs	PROPN
ejpam-5551	376	29	ngs	ngs	PROPN
ejpam-5551	376	30	newton	newton	PROPN
ejpam-5551	376	31	-	-	PUNCT
ejpam-5551	376	32	gs	gs	PROPN
ejpam-5551	376	33	method	method	VERB
ejpam-5551	376	34	2negs	2negs	NUM
ejpam-5551	376	35	newton-2eggs	newton-2eggs	NUM
ejpam-5551	376	36	method	method	NOUN
ejpam-5551	376	37	4negs	4negs	NUM
ejpam-5551	376	38	newton-4eggs	newton-4egg	NOUN
ejpam-5551	376	39	method	method	NOUN
ejpam-5551	376	40	tm	tm	PRON
ejpam-5551	376	41	computational	computational	ADJ
ejpam-5551	376	42	time(unit	time(unit	PROPN
ejpam-5551	376	43	:	:	PUNCT
ejpam-5551	376	44	second	second	ADJ
ejpam-5551	376	45	)	)	PUNCT
ejpam-5551	376	46	noi	noi	PROPN
ejpam-5551	376	47	internal	internal	PROPN
ejpam-5551	376	48	iterations	iteration	NOUN
ejpam-5551	376	49	l2−	l2−	NOUN
ejpam-5551	376	50	g	g	ADP
ejpam-5551	376	51	the	the	DET
ejpam-5551	376	52	l2	l2	NOUN
ejpam-5551	376	53	norm	norm	NOUN
ejpam-5551	376	54	of	of	ADP
ejpam-5551	376	55	the	the	DET
ejpam-5551	376	56	gradient	gradient	NOUN
ejpam-5551	376	57	g	g	NOUN
ejpam-5551	376	58	at	at	ADP
ejpam-5551	376	59	the	the	DET
ejpam-5551	376	60	end	end	NOUN
ejpam-5551	376	61	of	of	ADP
ejpam-5551	376	62	the	the	DET
ejpam-5551	376	63	computation	computation	NOUN
ejpam-5551	376	64	figure	figure	NOUN
ejpam-5551	376	65	1	1	NUM
ejpam-5551	376	66	:	:	PUNCT
ejpam-5551	376	67	3d	3d	NUM
ejpam-5551	376	68	diagram	diagram	NOUN
ejpam-5551	376	69	for	for	ADP
ejpam-5551	376	70	example	example	NOUN
ejpam-5551	376	71	1	1	NUM
ejpam-5551	376	72	.	.	PUNCT
ejpam-5551	376	73	figure	figure	NOUN
ejpam-5551	376	74	2	2	NUM
ejpam-5551	376	75	:	:	PUNCT
ejpam-5551	376	76	3d	3d	NUM
ejpam-5551	376	77	diagram	diagram	NOUN
ejpam-5551	376	78	for	for	ADP
ejpam-5551	376	79	example	example	NOUN
ejpam-5551	376	80	2	2	NUM
ejpam-5551	376	81	.	.	PUNCT
ejpam-5551	377	1	p.	p.	NOUN
ejpam-5551	377	2	cheng	cheng	PROPN
ejpam-5551	377	3	et	et	PROPN
ejpam-5551	378	1	al	al	PROPN
ejpam-5551	378	2	.	.	PUNCT
ejpam-5551	378	3	/	/	SYM
ejpam-5551	378	4	eur	eur	PROPN
ejpam-5551	378	5	.	.	PUNCT
ejpam-5551	379	1	j.	j.	PROPN
ejpam-5551	379	2	pure	pure	PROPN
ejpam-5551	379	3	appl	appl	PROPN
ejpam-5551	379	4	.	.	PROPN
ejpam-5551	379	5	math	math	PROPN
ejpam-5551	379	6	,	,	PUNCT
ejpam-5551	379	7	18	18	NUM
ejpam-5551	379	8	(	(	PUNCT
ejpam-5551	379	9	1	1	NUM
ejpam-5551	379	10	)	)	PUNCT
ejpam-5551	379	11	(	(	PUNCT
ejpam-5551	379	12	2025	2025	NUM
ejpam-5551	379	13	)	)	PUNCT
ejpam-5551	379	14	,	,	PUNCT
ejpam-5551	379	15	5551	5551	NUM
ejpam-5551	379	16	16	16	NUM
ejpam-5551	379	17	of	of	ADP
ejpam-5551	379	18	22	22	NUM
ejpam-5551	379	19	figure	figure	NOUN
ejpam-5551	379	20	3	3	NUM
ejpam-5551	379	21	:	:	PUNCT
ejpam-5551	379	22	3d	3d	NUM
ejpam-5551	379	23	diagram	diagram	NOUN
ejpam-5551	379	24	for	for	ADP
ejpam-5551	379	25	example	example	NOUN
ejpam-5551	379	26	3	3	NUM
ejpam-5551	379	27	.	.	X
ejpam-5551	379	28	figure	figure	VERB
ejpam-5551	379	29	4	4	NUM
ejpam-5551	379	30	:	:	SYM
ejpam-5551	379	31	3d	3d	NUM
ejpam-5551	379	32	diagram	diagram	NOUN
ejpam-5551	379	33	for	for	ADP
ejpam-5551	379	34	example	example	NOUN
ejpam-5551	379	35	4	4	NUM
ejpam-5551	379	36	.	.	PUNCT
ejpam-5551	379	37	table	table	NOUN
ejpam-5551	379	38	2	2	NUM
ejpam-5551	379	39	:	:	PUNCT
ejpam-5551	379	40	comparison	comparison	NOUN
ejpam-5551	379	41	of	of	ADP
ejpam-5551	379	42	the	the	DET
ejpam-5551	379	43	results	result	NOUN
ejpam-5551	379	44	of	of	ADP
ejpam-5551	379	45	the	the	DET
ejpam-5551	379	46	above	above	ADJ
ejpam-5551	379	47	three	three	NUM
ejpam-5551	379	48	different	different	ADJ
ejpam-5551	379	49	methods	method	NOUN
ejpam-5551	379	50	for	for	ADP
ejpam-5551	379	51	example	example	NOUN
ejpam-5551	379	52	1	1	NUM
ejpam-5551	379	53	.	.	PUNCT
ejpam-5551	380	1	n	n	CCONJ
ejpam-5551	380	2	p	p	NOUN
ejpam-5551	380	3	method	method	NOUN
ejpam-5551	380	4	10	10	NUM
ejpam-5551	380	5	50	50	NUM
ejpam-5551	380	6	100	100	NUM
ejpam-5551	380	7	150	150	NUM
ejpam-5551	380	8	250	250	NUM
ejpam-5551	380	9	ngs	ng	NOUN
ejpam-5551	380	10	105	105	NUM
ejpam-5551	380	11	903	903	NUM
ejpam-5551	380	12	3788	3788	NUM
ejpam-5551	380	13	8111	8111	NUM
ejpam-5551	380	14	21055	21055	NUM
ejpam-5551	380	15	noi	noi	PROPN
ejpam-5551	380	16	2neggs	2neggs	NUM
ejpam-5551	380	17	100	100	NUM
ejpam-5551	380	18	893	893	NUM
ejpam-5551	380	19	3761	3761	NUM
ejpam-5551	380	20	8071	8071	NUM
ejpam-5551	380	21	20992	20992	NUM
ejpam-5551	380	22	4neggs	4neggs	NUM
ejpam-5551	380	23	91	91	NUM
ejpam-5551	380	24	872	872	NUM
ejpam-5551	380	25	3709	3709	NUM
ejpam-5551	380	26	7994	7994	NUM
ejpam-5551	380	27	20867	20867	NUM
ejpam-5551	380	28	ngs	ng	VERB
ejpam-5551	380	29	0.8978	0.8978	NUM
ejpam-5551	380	30	10.2485	10.2485	NUM
ejpam-5551	380	31	79.5447	79.5447	NUM
ejpam-5551	380	32	291.4592	291.4592	NUM
ejpam-5551	380	33	1785.2087	1785.2087	NUM
ejpam-5551	380	34	tm	tm	PROPN
ejpam-5551	380	35	2neggs	2neggs	NUM
ejpam-5551	380	36	0.8658	0.8658	NUM
ejpam-5551	380	37	9.3863	9.3863	NUM
ejpam-5551	380	38	75.8597	75.8597	NUM
ejpam-5551	380	39	290.8716	290.8716	NUM
ejpam-5551	380	40	1757.3603	1757.3603	NUM
ejpam-5551	380	41	4neggs	4neggs	NUM
ejpam-5551	380	42	0.8136	0.8136	NUM
ejpam-5551	380	43	9.1721	9.1721	NUM
ejpam-5551	380	44	74.8187	74.8187	NUM
ejpam-5551	380	45	280.9366	280.9366	NUM
ejpam-5551	380	46	1718.8262	1718.8262	NUM
ejpam-5551	380	47	ngs	ng	NOUN
ejpam-5551	380	48	8.9251e-07	8.9251e-07	NUM
ejpam-5551	380	49	5.3210e-06	5.3210e-06	NUM
ejpam-5551	380	50	5.0076e-09	5.0076e-09	NUM
ejpam-5551	380	51	9.2859e-09	9.2859e-09	NUM
ejpam-5551	380	52	1.9899e-08	1.9899e-08	NUM
ejpam-5551	380	53	l2	l2	NOUN
ejpam-5551	380	54	-	-	PUNCT
ejpam-5551	380	55	g	g	NOUN
ejpam-5551	380	56	2neggs	2neggs	NUM
ejpam-5551	380	57	8.9251e-07	8.9251e-07	NUM
ejpam-5551	380	58	5.3210e-06	5.3210e-06	NUM
ejpam-5551	380	59	5.0072e-09	5.0072e-09	NUM
ejpam-5551	380	60	9.2687e-09	9.2687e-09	NUM
ejpam-5551	380	61	1.9836e-08	1.9836e-08	NUM
ejpam-5551	380	62	4neggs	4neggs	NUM
ejpam-5551	380	63	8.9251e-07	8.9251e-07	NUM
ejpam-5551	380	64	5.3210e-06	5.3210e-06	NUM
ejpam-5551	380	65	4.8564e-09	4.8564e-09	NUM
ejpam-5551	380	66	9.1065e-09	9.1065e-09	NUM
ejpam-5551	380	67	1.9702e-08	1.9702e-08	NUM
ejpam-5551	380	68	figure	figure	NOUN
ejpam-5551	380	69	5	5	NUM
ejpam-5551	380	70	:	:	PUNCT
ejpam-5551	380	71	iterations	iteration	NOUN
ejpam-5551	380	72	and	and	CCONJ
ejpam-5551	380	73	time	time	NOUN
ejpam-5551	380	74	(	(	PUNCT
ejpam-5551	380	75	seconds	second	NOUN
ejpam-5551	380	76	)	)	PUNCT
ejpam-5551	380	77	difference	difference	NOUN
ejpam-5551	380	78	in	in	ADP
ejpam-5551	380	79	different	different	ADJ
ejpam-5551	380	80	dimensions	dimension	NOUN
ejpam-5551	380	81	for	for	ADP
ejpam-5551	380	82	example	example	NOUN
ejpam-5551	380	83	1	1	NUM
ejpam-5551	380	84	.	.	X
ejpam-5551	380	85	5	5	NUM
ejpam-5551	380	86	.	.	X
ejpam-5551	380	87	comparison	comparison	NOUN
ejpam-5551	380	88	results	result	NOUN
ejpam-5551	380	89	we	we	PRON
ejpam-5551	380	90	show	show	VERB
ejpam-5551	380	91	specific	specific	ADJ
ejpam-5551	380	92	computational	computational	ADJ
ejpam-5551	380	93	results	result	NOUN
ejpam-5551	380	94	for	for	ADP
ejpam-5551	380	95	four	four	NUM
ejpam-5551	380	96	different	different	ADJ
ejpam-5551	380	97	example	example	NOUN
ejpam-5551	380	98	problems	problem	NOUN
ejpam-5551	380	99	in	in	ADP
ejpam-5551	380	100	tables	table	NOUN
ejpam-5551	380	101	25	25	NUM
ejpam-5551	380	102	,	,	PUNCT
ejpam-5551	380	103	which	which	PRON
ejpam-5551	380	104	indicate	indicate	VERB
ejpam-5551	380	105	that	that	SCONJ
ejpam-5551	380	106	our	our	PRON
ejpam-5551	380	107	proposed	propose	VERB
ejpam-5551	380	108	new	new	ADJ
ejpam-5551	380	109	explicit	explicit	ADJ
ejpam-5551	380	110	group	group	NOUN
ejpam-5551	380	111	iteration	iteration	NOUN
ejpam-5551	380	112	method	method	NOUN
ejpam-5551	380	113	successfully	successfully	ADV
ejpam-5551	380	114	solves	solve	VERB
ejpam-5551	380	115	large	large	ADJ
ejpam-5551	380	116	-	-	PUNCT
ejpam-5551	380	117	scale	scale	NOUN
ejpam-5551	380	118	multi	multi	ADJ
ejpam-5551	380	119	-	-	ADJ
ejpam-5551	380	120	objective	objective	ADJ
ejpam-5551	380	121	constrained	constrain	VERB
ejpam-5551	380	122	optimization	optimization	NOUN
ejpam-5551	380	123	problems	problem	NOUN
ejpam-5551	380	124	.	.	PUNCT
ejpam-5551	381	1	since	since	SCONJ
ejpam-5551	381	2	the	the	DET
ejpam-5551	381	3	same	same	ADJ
ejpam-5551	381	4	pareto	pareto	ADJ
ejpam-5551	381	5	optimal	optimal	ADJ
ejpam-5551	381	6	solution	solution	NOUN
ejpam-5551	381	7	is	be	AUX
ejpam-5551	381	8	obtained	obtain	VERB
ejpam-5551	381	9	using	use	VERB
ejpam-5551	381	10	different	different	ADJ
ejpam-5551	381	11	iteration	iteration	NOUN
ejpam-5551	381	12	methods	method	NOUN
ejpam-5551	381	13	for	for	ADP
ejpam-5551	381	14	the	the	DET
ejpam-5551	381	15	same	same	ADJ
ejpam-5551	381	16	latitude	latitude	NOUN
ejpam-5551	381	17	case	case	NOUN
ejpam-5551	381	18	in	in	ADP
ejpam-5551	381	19	each	each	DET
ejpam-5551	381	20	example	example	NOUN
ejpam-5551	381	21	problem	problem	NOUN
ejpam-5551	381	22	.	.	PUNCT
ejpam-5551	382	1	so	so	ADV
ejpam-5551	382	2	we	we	PRON
ejpam-5551	382	3	only	only	ADV
ejpam-5551	382	4	show	show	VERB
ejpam-5551	382	5	the	the	DET
ejpam-5551	382	6	number	number	NOUN
ejpam-5551	382	7	of	of	ADP
ejpam-5551	382	8	iterations	iteration	NOUN
ejpam-5551	382	9	inside	inside	ADP
ejpam-5551	382	10	the	the	DET
ejpam-5551	382	11	algorithm	algorithm	NOUN
ejpam-5551	382	12	,	,	PUNCT
ejpam-5551	382	13	the	the	DET
ejpam-5551	382	14	p.	p.	PROPN
ejpam-5551	382	15	cheng	cheng	PROPN
ejpam-5551	382	16	et	et	PROPN
ejpam-5551	382	17	al	al	PROPN
ejpam-5551	382	18	.	.	PUNCT
ejpam-5551	382	19	/	/	SYM
ejpam-5551	382	20	eur	eur	PROPN
ejpam-5551	382	21	.	.	PUNCT
ejpam-5551	383	1	j.	j.	PROPN
ejpam-5551	383	2	pure	pure	PROPN
ejpam-5551	383	3	appl	appl	PROPN
ejpam-5551	383	4	.	.	PROPN
ejpam-5551	383	5	math	math	PROPN
ejpam-5551	383	6	,	,	PUNCT
ejpam-5551	383	7	18	18	NUM
ejpam-5551	383	8	(	(	PUNCT
ejpam-5551	383	9	1	1	NUM
ejpam-5551	383	10	)	)	PUNCT
ejpam-5551	383	11	(	(	PUNCT
ejpam-5551	383	12	2025	2025	NUM
ejpam-5551	383	13	)	)	PUNCT
ejpam-5551	383	14	,	,	PUNCT
ejpam-5551	383	15	5551	5551	NUM
ejpam-5551	383	16	17	17	NUM
ejpam-5551	383	17	of	of	ADP
ejpam-5551	383	18	22	22	NUM
ejpam-5551	383	19	table	table	NOUN
ejpam-5551	383	20	3	3	NUM
ejpam-5551	383	21	:	:	PUNCT
ejpam-5551	383	22	comparison	comparison	NOUN
ejpam-5551	383	23	of	of	ADP
ejpam-5551	383	24	the	the	DET
ejpam-5551	383	25	results	result	NOUN
ejpam-5551	383	26	of	of	ADP
ejpam-5551	383	27	the	the	DET
ejpam-5551	383	28	above	above	ADJ
ejpam-5551	383	29	three	three	NUM
ejpam-5551	383	30	different	different	ADJ
ejpam-5551	383	31	methods	method	NOUN
ejpam-5551	383	32	for	for	ADP
ejpam-5551	383	33	example	example	NOUN
ejpam-5551	383	34	2	2	NUM
ejpam-5551	383	35	.	.	PUNCT
ejpam-5551	384	1	n	n	CCONJ
ejpam-5551	384	2	p	p	NOUN
ejpam-5551	384	3	method	method	NOUN
ejpam-5551	384	4	10	10	NUM
ejpam-5551	384	5	50	50	NUM
ejpam-5551	384	6	100	100	NUM
ejpam-5551	384	7	150	150	NUM
ejpam-5551	384	8	250	250	NUM
ejpam-5551	384	9	ngs	ng	NOUN
ejpam-5551	384	10	272	272	NUM
ejpam-5551	384	11	2679	2679	NUM
ejpam-5551	384	12	7140	7140	NUM
ejpam-5551	384	13	11425	11425	NUM
ejpam-5551	384	14	23228	23228	NUM
ejpam-5551	384	15	noi	noi	PROPN
ejpam-5551	384	16	2neggs	2neggs	NUM
ejpam-5551	384	17	262	262	NUM
ejpam-5551	384	18	2577	2577	NUM
ejpam-5551	384	19	7110	7110	NUM
ejpam-5551	384	20	11398	11398	NUM
ejpam-5551	384	21	23203	23203	NUM
ejpam-5551	384	22	4neggs	4neggs	NUM
ejpam-5551	384	23	260	260	NUM
ejpam-5551	384	24	2534	2534	NUM
ejpam-5551	384	25	7040	7040	NUM
ejpam-5551	384	26	11333	11333	NUM
ejpam-5551	384	27	23129	23129	NUM
ejpam-5551	384	28	ngs	ng	VERB
ejpam-5551	384	29	1.4114	1.4114	NUM
ejpam-5551	384	30	20.1857	20.1857	NUM
ejpam-5551	384	31	118.9396	118.9396	NUM
ejpam-5551	384	32	352.2824	352.2824	NUM
ejpam-5551	384	33	1790.0120	1790.0120	NUM
ejpam-5551	384	34	tm	tm	DET
ejpam-5551	384	35	2neggs	2neggs	NUM
ejpam-5551	384	36	1.3655	1.3655	NUM
ejpam-5551	384	37	19.5404	19.5404	NUM
ejpam-5551	384	38	115.9887	115.9887	NUM
ejpam-5551	384	39	349.8387	349.8387	NUM
ejpam-5551	384	40	1779.2555	1779.2555	NUM
ejpam-5551	384	41	4neggs	4neggs	NUM
ejpam-5551	384	42	1.3561	1.3561	NUM
ejpam-5551	384	43	19.2925	19.2925	NUM
ejpam-5551	384	44	114.1318	114.1318	NUM
ejpam-5551	384	45	345.3602	345.3602	NUM
ejpam-5551	384	46	1763.0075	1763.0075	NUM
ejpam-5551	384	47	ngs	ng	NOUN
ejpam-5551	384	48	9.5525e-07	9.5525e-07	NUM
ejpam-5551	384	49	5.3173e-06	5.3173e-06	NUM
ejpam-5551	384	50	7.2858e-09	7.2858e-09	NUM
ejpam-5551	384	51	1.8530e-08	1.8530e-08	NUM
ejpam-5551	384	52	4.4736e-08	4.4736e-08	NUM
ejpam-5551	384	53	l2	l2	NOUN
ejpam-5551	384	54	-	-	PUNCT
ejpam-5551	384	55	g	g	NOUN
ejpam-5551	384	56	2neggs	2neggs	NUM
ejpam-5551	384	57	9.5525e-07	9.5525e-07	NUM
ejpam-5551	384	58	5.3173e-06	5.3173e-06	NUM
ejpam-5551	384	59	7.3544e-09	7.3544e-09	NUM
ejpam-5551	384	60	1.8463e-08	1.8463e-08	NUM
ejpam-5551	384	61	4.4585e-08	4.4585e-08	NUM
ejpam-5551	384	62	4neggs	4neggs	NUM
ejpam-5551	385	1	9.5525e-07	9.5525e-07	NUM
ejpam-5551	385	2	5.3174e-06	5.3174e-06	NUM
ejpam-5551	385	3	7.5201e-09	7.5201e-09	NUM
ejpam-5551	385	4	1.8393e-08	1.8393e-08	NUM
ejpam-5551	385	5	4.4297e-08	4.4297e-08	NUM
ejpam-5551	385	6	figure	figure	NOUN
ejpam-5551	385	7	6	6	NUM
ejpam-5551	385	8	:	:	PUNCT
ejpam-5551	385	9	iterations	iteration	NOUN
ejpam-5551	385	10	and	and	CCONJ
ejpam-5551	385	11	time	time	NOUN
ejpam-5551	385	12	(	(	PUNCT
ejpam-5551	385	13	seconds	second	NOUN
ejpam-5551	385	14	)	)	PUNCT
ejpam-5551	385	15	difference	difference	NOUN
ejpam-5551	385	16	in	in	ADP
ejpam-5551	385	17	different	different	ADJ
ejpam-5551	385	18	dimensions	dimension	NOUN
ejpam-5551	385	19	for	for	ADP
ejpam-5551	385	20	example	example	NOUN
ejpam-5551	385	21	2	2	NUM
ejpam-5551	385	22	.	.	NOUN
ejpam-5551	385	23	table	table	NOUN
ejpam-5551	385	24	4	4	NUM
ejpam-5551	385	25	:	:	PUNCT
ejpam-5551	385	26	comparison	comparison	NOUN
ejpam-5551	385	27	of	of	ADP
ejpam-5551	385	28	the	the	DET
ejpam-5551	385	29	results	result	NOUN
ejpam-5551	385	30	of	of	ADP
ejpam-5551	385	31	the	the	DET
ejpam-5551	385	32	above	above	ADJ
ejpam-5551	385	33	three	three	NUM
ejpam-5551	385	34	different	different	ADJ
ejpam-5551	385	35	methods	method	NOUN
ejpam-5551	385	36	for	for	ADP
ejpam-5551	385	37	example	example	NOUN
ejpam-5551	385	38	3	3	NUM
ejpam-5551	385	39	.	.	PUNCT
ejpam-5551	386	1	n	n	CCONJ
ejpam-5551	386	2	p	p	NOUN
ejpam-5551	386	3	method	method	NOUN
ejpam-5551	386	4	10	10	NUM
ejpam-5551	386	5	50	50	NUM
ejpam-5551	386	6	100	100	NUM
ejpam-5551	386	7	150	150	NUM
ejpam-5551	386	8	250	250	NUM
ejpam-5551	386	9	ngs	ng	NOUN
ejpam-5551	386	10	323	323	NUM
ejpam-5551	386	11	3615	3615	NUM
ejpam-5551	386	12	8069	8069	NUM
ejpam-5551	386	13	12715	12715	NUM
ejpam-5551	386	14	26828	26828	NUM
ejpam-5551	386	15	noi	noi	PROPN
ejpam-5551	386	16	2neggs	2neggs	NUM
ejpam-5551	386	17	305	305	NUM
ejpam-5551	386	18	3306	3306	NUM
ejpam-5551	386	19	8015	8015	NUM
ejpam-5551	386	20	12676	12676	NUM
ejpam-5551	386	21	26755	26755	NUM
ejpam-5551	386	22	4neggs	4neggs	NUM
ejpam-5551	386	23	280	280	NUM
ejpam-5551	386	24	3258	3258	NUM
ejpam-5551	386	25	7914	7914	NUM
ejpam-5551	386	26	12594	12594	NUM
ejpam-5551	386	27	26587	26587	NUM
ejpam-5551	386	28	ngs	ng	VERB
ejpam-5551	386	29	1.6175	1.6175	NUM
ejpam-5551	386	30	27.9083	27.9083	NUM
ejpam-5551	386	31	130.9371	130.9371	NUM
ejpam-5551	386	32	389.1743	389.1743	NUM
ejpam-5551	386	33	2031.1232	2031.1232	NUM
ejpam-5551	386	34	tm	tm	PROPN
ejpam-5551	386	35	2neggs	2neggs	NUM
ejpam-5551	386	36	1.5249	1.5249	NUM
ejpam-5551	386	37	25.3495	25.3495	NUM
ejpam-5551	386	38	128.6421	128.6421	NUM
ejpam-5551	386	39	382.9091	382.9091	NUM
ejpam-5551	386	40	2029.2933	2029.2933	NUM
ejpam-5551	386	41	4neggs	4neggs	NUM
ejpam-5551	386	42	1.4355	1.4355	NUM
ejpam-5551	386	43	25.0829	25.0829	NUM
ejpam-5551	386	44	125.1750	125.1750	NUM
ejpam-5551	386	45	380.2002	380.2002	NUM
ejpam-5551	386	46	1995.1464	1995.1464	NUM
ejpam-5551	386	47	ngs	ng	NOUN
ejpam-5551	386	48	6.2168e-06	6.2168e-06	NUM
ejpam-5551	386	49	3.2971e-09	3.2971e-09	NUM
ejpam-5551	386	50	8.9170e-09	8.9170e-09	NUM
ejpam-5551	386	51	1.3044e-08	1.3044e-08	NUM
ejpam-5551	386	52	4.0726e-08	4.0726e-08	NUM
ejpam-5551	386	53	l2	l2	NOUN
ejpam-5551	386	54	-	-	PUNCT
ejpam-5551	386	55	g	g	NOUN
ejpam-5551	386	56	2neggs	2neggs	NUM
ejpam-5551	386	57	6.2168e-06	6.2168e-06	NUM
ejpam-5551	386	58	4.9737e-09	4.9737e-09	NUM
ejpam-5551	386	59	8.7289e-09	8.7289e-09	NUM
ejpam-5551	386	60	1.3035e-08	1.3035e-08	NUM
ejpam-5551	386	61	4.0622e-08	4.0622e-08	NUM
ejpam-5551	386	62	4neggs	4neggs	NUM
ejpam-5551	386	63	6.2168e-06	6.2168e-06	NUM
ejpam-5551	386	64	4.4817e-09	4.4817e-09	NUM
ejpam-5551	386	65	8.3910e-09	8.3910e-09	NUM
ejpam-5551	386	66	1.3006e-08	1.3006e-08	NUM
ejpam-5551	386	67	4.0363e-08	4.0363e-08	DET
ejpam-5551	386	68	total	total	ADJ
ejpam-5551	386	69	computation	computation	NOUN
ejpam-5551	386	70	time	time	NOUN
ejpam-5551	386	71	and	and	CCONJ
ejpam-5551	386	72	the	the	DET
ejpam-5551	386	73	norm	norm	NOUN
ejpam-5551	386	74	of	of	ADP
ejpam-5551	386	75	function	function	NOUN
ejpam-5551	386	76	gradient	gradient	NOUN
ejpam-5551	386	77	at	at	ADP
ejpam-5551	386	78	termination	termination	NOUN
ejpam-5551	386	79	of	of	ADP
ejpam-5551	386	80	calculation	calculation	NOUN
ejpam-5551	386	81	inside	inside	ADP
ejpam-5551	386	82	the	the	DET
ejpam-5551	386	83	table	table	NOUN
ejpam-5551	386	84	.	.	PUNCT
ejpam-5551	387	1	for	for	ADP
ejpam-5551	387	2	comparison	comparison	NOUN
ejpam-5551	387	3	purposes	purpose	NOUN
ejpam-5551	387	4	we	we	PRON
ejpam-5551	387	5	keep	keep	VERB
ejpam-5551	387	6	the	the	DET
ejpam-5551	387	7	decimals	decimal	NOUN
ejpam-5551	387	8	in	in	ADP
ejpam-5551	387	9	tables	table	NOUN
ejpam-5551	387	10	2	2	NUM
ejpam-5551	387	11	-	-	SYM
ejpam-5551	387	12	5	5	NUM
ejpam-5551	387	13	to	to	PART
ejpam-5551	387	14	4	4	NUM
ejpam-5551	387	15	decimal	decimal	ADJ
ejpam-5551	387	16	places	place	NOUN
ejpam-5551	387	17	.	.	PUNCT
ejpam-5551	388	1	in	in	ADP
ejpam-5551	388	2	addition	addition	NOUN
ejpam-5551	388	3	,	,	PUNCT
ejpam-5551	388	4	figure	figure	NOUN
ejpam-5551	388	5	5	5	NUM
ejpam-5551	388	6	-	-	SYM
ejpam-5551	388	7	8	8	NUM
ejpam-5551	388	8	shows	show	VERB
ejpam-5551	388	9	the	the	DET
ejpam-5551	388	10	difference	difference	NOUN
ejpam-5551	388	11	between	between	ADP
ejpam-5551	388	12	the	the	DET
ejpam-5551	388	13	number	number	NOUN
ejpam-5551	388	14	of	of	ADP
ejpam-5551	388	15	iterations	iteration	NOUN
ejpam-5551	388	16	and	and	CCONJ
ejpam-5551	388	17	the	the	DET
ejpam-5551	388	18	computation	computation	NOUN
ejpam-5551	388	19	time	time	NOUN
ejpam-5551	388	20	between	between	ADP
ejpam-5551	388	21	different	different	ADJ
ejpam-5551	388	22	algorithms	algorithm	NOUN
ejpam-5551	388	23	for	for	ADP
ejpam-5551	388	24	each	each	DET
ejpam-5551	388	25	example	example	NOUN
ejpam-5551	388	26	problem	problem	NOUN
ejpam-5551	388	27	in	in	ADP
ejpam-5551	388	28	different	different	ADJ
ejpam-5551	388	29	p.	p.	NOUN
ejpam-5551	389	1	cheng	cheng	PROPN
ejpam-5551	389	2	et	et	PROPN
ejpam-5551	390	1	al	al	PROPN
ejpam-5551	390	2	.	.	PUNCT
ejpam-5551	390	3	/	/	SYM
ejpam-5551	390	4	eur	eur	PROPN
ejpam-5551	390	5	.	.	PUNCT
ejpam-5551	391	1	j.	j.	PROPN
ejpam-5551	391	2	pure	pure	PROPN
ejpam-5551	391	3	appl	appl	PROPN
ejpam-5551	391	4	.	.	PROPN
ejpam-5551	391	5	math	math	PROPN
ejpam-5551	391	6	,	,	PUNCT
ejpam-5551	391	7	18	18	NUM
ejpam-5551	391	8	(	(	PUNCT
ejpam-5551	391	9	1	1	NUM
ejpam-5551	391	10	)	)	PUNCT
ejpam-5551	391	11	(	(	PUNCT
ejpam-5551	391	12	2025	2025	NUM
ejpam-5551	391	13	)	)	PUNCT
ejpam-5551	391	14	,	,	PUNCT
ejpam-5551	391	15	5551	5551	NUM
ejpam-5551	391	16	18	18	NUM
ejpam-5551	391	17	of	of	ADP
ejpam-5551	391	18	22	22	NUM
ejpam-5551	391	19	figure	figure	NOUN
ejpam-5551	391	20	7	7	NUM
ejpam-5551	391	21	:	:	PUNCT
ejpam-5551	391	22	iterations	iteration	NOUN
ejpam-5551	391	23	and	and	CCONJ
ejpam-5551	391	24	time	time	NOUN
ejpam-5551	391	25	(	(	PUNCT
ejpam-5551	391	26	seconds	second	NOUN
ejpam-5551	391	27	)	)	PUNCT
ejpam-5551	391	28	difference	difference	NOUN
ejpam-5551	391	29	in	in	ADP
ejpam-5551	391	30	different	different	ADJ
ejpam-5551	391	31	dimensions	dimension	NOUN
ejpam-5551	391	32	for	for	ADP
ejpam-5551	391	33	example	example	NOUN
ejpam-5551	391	34	3	3	NUM
ejpam-5551	391	35	.	.	PUNCT
ejpam-5551	391	36	table	table	NOUN
ejpam-5551	391	37	5	5	NUM
ejpam-5551	391	38	:	:	PUNCT
ejpam-5551	391	39	comparison	comparison	NOUN
ejpam-5551	391	40	of	of	ADP
ejpam-5551	391	41	the	the	DET
ejpam-5551	391	42	results	result	NOUN
ejpam-5551	391	43	of	of	ADP
ejpam-5551	391	44	the	the	DET
ejpam-5551	391	45	above	above	ADJ
ejpam-5551	391	46	three	three	NUM
ejpam-5551	391	47	different	different	ADJ
ejpam-5551	391	48	methods	method	NOUN
ejpam-5551	391	49	for	for	ADP
ejpam-5551	391	50	example	example	NOUN
ejpam-5551	391	51	4	4	NUM
ejpam-5551	391	52	.	.	PUNCT
ejpam-5551	392	1	n	n	CCONJ
ejpam-5551	392	2	p	p	NOUN
ejpam-5551	392	3	method	method	NOUN
ejpam-5551	392	4	10	10	NUM
ejpam-5551	392	5	50	50	NUM
ejpam-5551	392	6	100	100	NUM
ejpam-5551	392	7	150	150	NUM
ejpam-5551	392	8	250	250	NUM
ejpam-5551	392	9	ngs	ng	NOUN
ejpam-5551	392	10	91	91	NUM
ejpam-5551	392	11	177	177	NUM
ejpam-5551	392	12	1281	1281	NUM
ejpam-5551	392	13	7269	7269	NUM
ejpam-5551	392	14	114176	114176	NUM
ejpam-5551	392	15	noi	noi	PROPN
ejpam-5551	392	16	2neggs	2neggs	NUM
ejpam-5551	392	17	91	91	NUM
ejpam-5551	392	18	172	172	NUM
ejpam-5551	392	19	1167	1167	NUM
ejpam-5551	392	20	6234	6234	NUM
ejpam-5551	392	21	86083	86083	NUM
ejpam-5551	392	22	4neggs	4neggs	NUM
ejpam-5551	392	23	90	90	NUM
ejpam-5551	392	24	157	157	NUM
ejpam-5551	392	25	913	913	NUM
ejpam-5551	392	26	4267	4267	NUM
ejpam-5551	392	27	48913	48913	NUM
ejpam-5551	392	28	ngs	ng	VERB
ejpam-5551	392	29	1.1596	1.1596	NUM
ejpam-5551	392	30	11.1179	11.1179	NUM
ejpam-5551	392	31	69.6460	69.6460	NUM
ejpam-5551	392	32	352.2824	352.2824	NUM
ejpam-5551	392	33	8487.6144	8487.6144	NUM
ejpam-5551	392	34	tm	tm	ADP
ejpam-5551	392	35	2neggs	2neggs	NUM
ejpam-5551	392	36	1.1349	1.1349	NUM
ejpam-5551	392	37	10.1160	10.1160	NUM
ejpam-5551	392	38	64.7557	64.7557	NUM
ejpam-5551	392	39	339.1660	339.1660	NUM
ejpam-5551	392	40	6584.3840	6584.3840	NUM
ejpam-5551	392	41	4neggs	4neggs	NUM
ejpam-5551	392	42	1.0560	1.0560	NUM
ejpam-5551	392	43	10.0277	10.0277	NUM
ejpam-5551	392	44	62.9561	62.9561	NUM
ejpam-5551	393	1	305.9793	305.9793	NUM
ejpam-5551	393	2	4115.1276	4115.1276	NUM
ejpam-5551	393	3	ngs	ng	NOUN
ejpam-5551	393	4	1.7766e-07	1.7766e-07	NUM
ejpam-5551	393	5	4.3005e-08	4.3005e-08	NUM
ejpam-5551	393	6	2.4160e-06	2.4160e-06	NUM
ejpam-5551	393	7	8.9724e-06	8.9724e-06	NUM
ejpam-5551	393	8	1.8916e-06	1.8916e-06	NUM
ejpam-5551	393	9	l2	l2	NOUN
ejpam-5551	393	10	-	-	PUNCT
ejpam-5551	393	11	g	g	NOUN
ejpam-5551	393	12	2neggs	2neggs	NUM
ejpam-5551	393	13	1.7766e-07	1.7766e-07	NUM
ejpam-5551	393	14	4.3005e-08	4.3005e-08	NUM
ejpam-5551	393	15	2.4160e-06	2.4160e-06	NUM
ejpam-5551	393	16	8.9724e-06	8.9724e-06	NUM
ejpam-5551	393	17	1.8916e-06	1.8916e-06	NUM
ejpam-5551	393	18	4neggs	4neggs	NUM
ejpam-5551	393	19	1.7766e-07	1.7766e-07	NUM
ejpam-5551	393	20	4.3005e-08	4.3005e-08	NUM
ejpam-5551	393	21	2.4160e-06	2.4160e-06	NUM
ejpam-5551	393	22	8.9724e-06	8.9724e-06	NUM
ejpam-5551	393	23	1.8916e-06	1.8916e-06	NUM
ejpam-5551	393	24	figure	figure	NOUN
ejpam-5551	393	25	8	8	NUM
ejpam-5551	393	26	:	:	PUNCT
ejpam-5551	393	27	iterations	iteration	NOUN
ejpam-5551	393	28	and	and	CCONJ
ejpam-5551	393	29	time	time	NOUN
ejpam-5551	393	30	(	(	PUNCT
ejpam-5551	393	31	seconds	second	NOUN
ejpam-5551	393	32	)	)	PUNCT
ejpam-5551	393	33	difference	difference	NOUN
ejpam-5551	393	34	in	in	ADP
ejpam-5551	393	35	different	different	ADJ
ejpam-5551	393	36	dimensions	dimension	NOUN
ejpam-5551	393	37	for	for	ADP
ejpam-5551	393	38	example	example	NOUN
ejpam-5551	393	39	4	4	NUM
ejpam-5551	393	40	.	.	PUNCT
ejpam-5551	394	1	dimensions	dimension	NOUN
ejpam-5551	394	2	(	(	PUNCT
ejpam-5551	394	3	ngs-4neggs	ngs-4negg	NOUN
ejpam-5551	394	4	denotes	denote	VERB
ejpam-5551	394	5	the	the	DET
ejpam-5551	394	6	result	result	NOUN
ejpam-5551	394	7	of	of	ADP
ejpam-5551	394	8	the	the	DET
ejpam-5551	394	9	newton	newton	PROPN
ejpam-5551	394	10	-	-	PUNCT
ejpam-5551	394	11	gs	gs	PROPN
ejpam-5551	394	12	method	method	NOUN
ejpam-5551	394	13	minus	minus	ADP
ejpam-5551	394	14	the	the	DET
ejpam-5551	394	15	computation	computation	NOUN
ejpam-5551	394	16	result	result	NOUN
ejpam-5551	394	17	of	of	ADP
ejpam-5551	394	18	newton-4eggs	newton-4eggs	PROPN
ejpam-5551	394	19	)	)	PUNCT
ejpam-5551	394	20	,	,	PUNCT
ejpam-5551	394	21	so	so	CCONJ
ejpam-5551	394	22	the	the	DET
ejpam-5551	394	23	clear	clear	ADJ
ejpam-5551	394	24	advantage	advantage	NOUN
ejpam-5551	394	25	of	of	ADP
ejpam-5551	394	26	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	394	27	can	can	AUX
ejpam-5551	394	28	be	be	AUX
ejpam-5551	394	29	seen	see	VERB
ejpam-5551	394	30	from	from	ADP
ejpam-5551	394	31	both	both	DET
ejpam-5551	394	32	tables	table	NOUN
ejpam-5551	394	33	2	2	NUM
ejpam-5551	394	34	-	-	SYM
ejpam-5551	394	35	5	5	NUM
ejpam-5551	394	36	and	and	CCONJ
ejpam-5551	394	37	figures	figure	NOUN
ejpam-5551	394	38	5	5	NUM
ejpam-5551	394	39	-	-	SYM
ejpam-5551	394	40	8	8	NUM
ejpam-5551	394	41	.	.	PUNCT
ejpam-5551	395	1	from	from	ADP
ejpam-5551	395	2	the	the	DET
ejpam-5551	395	3	results	result	NOUN
ejpam-5551	395	4	in	in	ADP
ejpam-5551	395	5	table	table	NOUN
ejpam-5551	395	6	6	6	NUM
ejpam-5551	395	7	,	,	PUNCT
ejpam-5551	395	8	it	it	PRON
ejpam-5551	395	9	can	can	AUX
ejpam-5551	395	10	be	be	AUX
ejpam-5551	395	11	seen	see	VERB
ejpam-5551	395	12	that	that	SCONJ
ejpam-5551	395	13	the	the	DET
ejpam-5551	395	14	number	number	NOUN
ejpam-5551	395	15	of	of	ADP
ejpam-5551	395	16	iterations	iteration	NOUN
ejpam-5551	395	17	using	use	VERB
ejpam-5551	395	18	the	the	DET
ejpam-5551	395	19	newton-2eggs	newton-2eggs	NUM
ejpam-5551	395	20	method	method	NOUN
ejpam-5551	395	21	is	be	AUX
ejpam-5551	395	22	less	less	ADJ
ejpam-5551	395	23	than	than	ADP
ejpam-5551	395	24	that	that	PRON
ejpam-5551	395	25	using	use	VERB
ejpam-5551	395	26	the	the	DET
ejpam-5551	395	27	newton	newton	PROPN
ejpam-5551	395	28	-	-	PUNCT
ejpam-5551	395	29	gs	gs	PROPN
ejpam-5551	395	30	method	method	NOUN
ejpam-5551	395	31	and	and	CCONJ
ejpam-5551	395	32	the	the	DET
ejpam-5551	395	33	percentage	percentage	NOUN
ejpam-5551	395	34	reduction	reduction	NOUN
ejpam-5551	395	35	can	can	AUX
ejpam-5551	395	36	be	be	AUX
ejpam-5551	395	37	up	up	ADP
ejpam-5551	395	38	to	to	ADP
ejpam-5551	395	39	24.60	24.60	NUM
ejpam-5551	395	40	.	.	PUNCT
ejpam-5551	396	1	and	and	CCONJ
ejpam-5551	396	2	here	here	ADV
ejpam-5551	396	3	the	the	DET
ejpam-5551	396	4	newton-4eggs	newton-4egg	NOUN
ejpam-5551	396	5	method	method	NOUN
ejpam-5551	396	6	is	be	AUX
ejpam-5551	396	7	the	the	DET
ejpam-5551	396	8	most	most	ADV
ejpam-5551	396	9	computationally	computationally	ADV
ejpam-5551	396	10	efficient	efficient	ADJ
ejpam-5551	396	11	and	and	CCONJ
ejpam-5551	396	12	the	the	DET
ejpam-5551	396	13	reduction	reduction	NOUN
ejpam-5551	396	14	in	in	ADP
ejpam-5551	396	15	the	the	DET
ejpam-5551	396	16	number	number	NOUN
ejpam-5551	396	17	of	of	ADP
ejpam-5551	396	18	iterations	iteration	NOUN
ejpam-5551	396	19	compared	compare	VERB
ejpam-5551	396	20	to	to	ADP
ejpam-5551	397	1	newton	newton	PROPN
ejpam-5551	397	2	-	-	PUNCT
ejpam-5551	397	3	gs	gs	PROPN
ejpam-5551	398	1	p.	p.	NOUN
ejpam-5551	398	2	cheng	cheng	PROPN
ejpam-5551	398	3	et	et	PROPN
ejpam-5551	398	4	al	al	PROPN
ejpam-5551	398	5	.	.	PUNCT
ejpam-5551	398	6	/	/	SYM
ejpam-5551	398	7	eur	eur	PROPN
ejpam-5551	398	8	.	.	PUNCT
ejpam-5551	399	1	j.	j.	PROPN
ejpam-5551	399	2	pure	pure	PROPN
ejpam-5551	399	3	appl	appl	PROPN
ejpam-5551	399	4	.	.	PROPN
ejpam-5551	399	5	math	math	PROPN
ejpam-5551	399	6	,	,	PUNCT
ejpam-5551	399	7	18	18	NUM
ejpam-5551	399	8	(	(	PUNCT
ejpam-5551	399	9	1	1	NUM
ejpam-5551	399	10	)	)	PUNCT
ejpam-5551	399	11	(	(	PUNCT
ejpam-5551	399	12	2025	2025	NUM
ejpam-5551	399	13	)	)	PUNCT
ejpam-5551	399	14	,	,	PUNCT
ejpam-5551	399	15	5551	5551	NUM
ejpam-5551	399	16	19	19	NUM
ejpam-5551	399	17	of	of	ADP
ejpam-5551	399	18	22	22	NUM
ejpam-5551	399	19	table	table	NOUN
ejpam-5551	399	20	6	6	NUM
ejpam-5551	399	21	:	:	PUNCT
ejpam-5551	399	22	decreasing	decrease	VERB
ejpam-5551	399	23	percentage	percentage	NOUN
ejpam-5551	399	24	of	of	ADP
ejpam-5551	399	25	iterations	iteration	NOUN
ejpam-5551	399	26	of	of	ADP
ejpam-5551	399	27	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	399	28	relative	relative	ADJ
ejpam-5551	399	29	to	to	ADP
ejpam-5551	399	30	newton	newton	PROPN
ejpam-5551	399	31	-	-	PUNCT
ejpam-5551	399	32	gs	gs	PROPN
ejpam-5551	399	33	and	and	CCONJ
ejpam-5551	399	34	newton-2eggs	newton-2eggs	NUM
ejpam-5551	399	35	range	range	NOUN
ejpam-5551	399	36	of	of	ADP
ejpam-5551	399	37	decreasing	decrease	VERB
ejpam-5551	399	38	percentage	percentage	NOUN
ejpam-5551	399	39	of	of	ADP
ejpam-5551	399	40	iterations	iteration	NOUN
ejpam-5551	399	41	n	n	PRON
ejpam-5551	399	42	ngs	ng	NOUN
ejpam-5551	399	43	−	−	PROPN
ejpam-5551	399	44	2neggs	2neggs	NUM
ejpam-5551	399	45	ngs	ng	NOUN
ejpam-5551	399	46	−	−	PROPN
ejpam-5551	399	47	4neggs	4neggs	NUM
ejpam-5551	399	48	2neggs	2neggs	NUM
ejpam-5551	399	49	−	−	NOUN
ejpam-5551	399	50	4neggs	4neggs	NUM
ejpam-5551	399	51	1	1	NUM
ejpam-5551	399	52	0.3	0.3	NUM
ejpam-5551	399	53	∽	∽	NUM
ejpam-5551	399	54	4.76	4.76	NUM
ejpam-5551	399	55	0.89	0.89	NUM
ejpam-5551	399	56	∽	∽	NUM
ejpam-5551	399	57	13.33	13.33	NUM
ejpam-5551	399	58	0.60	0.60	NUM
ejpam-5551	399	59	∽	∽	NUM
ejpam-5551	399	60	9.00	9.00	NUM
ejpam-5551	399	61	2	2	NUM
ejpam-5551	399	62	0.11	0.11	NUM
ejpam-5551	399	63	∽	∽	NUM
ejpam-5551	399	64	3.81	3.81	NUM
ejpam-5551	399	65	0.43	0.43	NUM
ejpam-5551	399	66	∽	∽	NUM
ejpam-5551	399	67	5.41	5.41	NUM
ejpam-5551	399	68	0.32	0.32	NUM
ejpam-5551	399	69	∽	∽	NUM
ejpam-5551	399	70	1.67	1.67	NUM
ejpam-5551	399	71	3	3	NUM
ejpam-5551	399	72	0.27	0.27	NUM
ejpam-5551	399	73	∽	∽	NUM
ejpam-5551	399	74	8.55	8.55	NUM
ejpam-5551	399	75	0.90	0.90	NUM
ejpam-5551	399	76	∽	∽	NUM
ejpam-5551	399	77	13.31	13.31	NUM
ejpam-5551	399	78	0.63	0.63	NUM
ejpam-5551	399	79	∽	∽	NUM
ejpam-5551	399	80	8.20	8.20	NUM
ejpam-5551	399	81	4	4	NUM
ejpam-5551	399	82	0.00	0.00	NUM
ejpam-5551	399	83	∽	∽	NUM
ejpam-5551	399	84	24.6	24.6	NUM
ejpam-5551	399	85	1.11	1.11	NUM
ejpam-5551	399	86	∽	∽	NUM
ejpam-5551	399	87	57.16	57.16	NUM
ejpam-5551	399	88	1.11	1.11	NUM
ejpam-5551	399	89	∽	∽	NUM
ejpam-5551	399	90	43.18	43.18	NUM
ejpam-5551	399	91	table	table	NOUN
ejpam-5551	399	92	7	7	NUM
ejpam-5551	399	93	:	:	PUNCT
ejpam-5551	399	94	decreasing	decrease	VERB
ejpam-5551	399	95	percentage	percentage	NOUN
ejpam-5551	399	96	of	of	ADP
ejpam-5551	399	97	computational	computational	ADJ
ejpam-5551	399	98	time	time	NOUN
ejpam-5551	399	99	of	of	ADP
ejpam-5551	399	100	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	399	101	relative	relative	ADJ
ejpam-5551	399	102	to	to	ADP
ejpam-5551	399	103	newton	newton	PROPN
ejpam-5551	399	104	-	-	PUNCT
ejpam-5551	399	105	gs	gs	PROPN
ejpam-5551	399	106	and	and	CCONJ
ejpam-5551	399	107	newton2eggs	newton2egg	NOUN
ejpam-5551	399	108	computing	computing	NOUN
ejpam-5551	399	109	time	time	NOUN
ejpam-5551	399	110	n	n	PRON
ejpam-5551	399	111	ngs(i	ngs(i	PROPN
ejpam-5551	399	112	)	)	PUNCT
ejpam-5551	399	113	2neggs(ii	2neggs(ii	NUM
ejpam-5551	399	114	)	)	PUNCT
ejpam-5551	399	115	4neggs(iii	4neggs(iii	NUM
ejpam-5551	399	116	)	)	PUNCT
ejpam-5551	399	117	(	(	PUNCT
ejpam-5551	399	118	i−ii	i−ii	PROPN
ejpam-5551	399	119	)	)	PUNCT
ejpam-5551	400	1	i	i	PRON
ejpam-5551	400	2	(	(	PUNCT
ejpam-5551	400	3	i−iii	i−iii	PROPN
ejpam-5551	400	4	)	)	PUNCT
ejpam-5551	400	5	i	i	PRON
ejpam-5551	400	6	(	(	PUNCT
ejpam-5551	400	7	ii−iii	ii−iii	X
ejpam-5551	400	8	)	)	PUNCT
ejpam-5551	400	9	ii	ii	PROPN
ejpam-5551	400	10	1	1	NUM
ejpam-5551	400	11	2167.36	2167.36	NUM
ejpam-5551	400	12	2134.34	2134.34	NUM
ejpam-5551	400	13	2084.57	2084.57	NUM
ejpam-5551	400	14	1.52	1.52	NUM
ejpam-5551	400	15	3.82	3.82	NUM
ejpam-5551	400	16	2.33	2.33	NUM
ejpam-5551	400	17	2	2	NUM
ejpam-5551	400	18	2282.83	2282.83	NUM
ejpam-5551	400	19	2265.99	2265.99	NUM
ejpam-5551	400	20	2243.15	2243.15	NUM
ejpam-5551	400	21	0.74	0.74	NUM
ejpam-5551	400	22	1.74	1.74	NUM
ejpam-5551	400	23	1.01	1.01	NUM
ejpam-5551	400	24	3	3	NUM
ejpam-5551	400	25	2580.76	2580.76	NUM
ejpam-5551	400	26	2567.72	2567.72	NUM
ejpam-5551	400	27	2527.04	2527.04	NUM
ejpam-5551	400	28	0.51	0.51	NUM
ejpam-5551	400	29	2.08	2.08	NUM
ejpam-5551	400	30	1.58	1.58	NUM
ejpam-5551	400	31	4	4	NUM
ejpam-5551	400	32	8908.70	8908.70	NUM
ejpam-5551	400	33	6966.37	6966.37	NUM
ejpam-5551	400	34	4450.22	4450.22	NUM
ejpam-5551	400	35	21.8	21.8	NUM
ejpam-5551	400	36	50.05	50.05	NUM
ejpam-5551	400	37	36.12	36.12	NUM
ejpam-5551	400	38	and	and	CCONJ
ejpam-5551	400	39	newton-2eggs	newton-2eggs	NUM
ejpam-5551	400	40	can	can	AUX
ejpam-5551	400	41	be	be	AUX
ejpam-5551	400	42	up	up	ADP
ejpam-5551	400	43	to	to	ADP
ejpam-5551	400	44	54.16	54.16	NUM
ejpam-5551	400	45	%	%	NOUN
ejpam-5551	400	46	and	and	CCONJ
ejpam-5551	400	47	43.18	43.18	NUM
ejpam-5551	400	48	%	%	NOUN
ejpam-5551	400	49	.	.	PUNCT
ejpam-5551	401	1	as	as	SCONJ
ejpam-5551	401	2	expected	expect	VERB
ejpam-5551	401	3	,	,	PUNCT
ejpam-5551	401	4	the	the	DET
ejpam-5551	401	5	two	two	NUM
ejpam-5551	401	6	methods	method	NOUN
ejpam-5551	401	7	we	we	PRON
ejpam-5551	401	8	used	use	VERB
ejpam-5551	401	9	are	be	AUX
ejpam-5551	401	10	much	much	ADV
ejpam-5551	401	11	faster	fast	ADJ
ejpam-5551	401	12	to	to	PART
ejpam-5551	401	13	compute	compute	VERB
ejpam-5551	401	14	than	than	ADP
ejpam-5551	401	15	the	the	DET
ejpam-5551	401	16	reference	reference	NOUN
ejpam-5551	401	17	method	method	NOUN
ejpam-5551	401	18	.	.	PUNCT
ejpam-5551	402	1	also	also	ADV
ejpam-5551	402	2	in	in	ADP
ejpam-5551	402	3	table	table	NOUN
ejpam-5551	402	4	7	7	NUM
ejpam-5551	402	5	,	,	PUNCT
ejpam-5551	402	6	it	it	PRON
ejpam-5551	402	7	can	can	AUX
ejpam-5551	402	8	be	be	AUX
ejpam-5551	402	9	seen	see	VERB
ejpam-5551	402	10	that	that	SCONJ
ejpam-5551	402	11	the	the	DET
ejpam-5551	402	12	computation	computation	NOUN
ejpam-5551	402	13	time	time	NOUN
ejpam-5551	402	14	of	of	ADP
ejpam-5551	402	15	our	our	PRON
ejpam-5551	402	16	proposed	propose	VERB
ejpam-5551	402	17	newton-4eggs	newton-4eggs	PUNCT
ejpam-5551	402	18	is	be	AUX
ejpam-5551	402	19	up	up	ADP
ejpam-5551	402	20	to	to	ADP
ejpam-5551	402	21	50.05	50.05	NUM
ejpam-5551	402	22	%	%	NOUN
ejpam-5551	402	23	faster	fast	ADV
ejpam-5551	402	24	than	than	ADP
ejpam-5551	402	25	the	the	DET
ejpam-5551	402	26	newton	newton	PROPN
ejpam-5551	402	27	-	-	PUNCT
ejpam-5551	402	28	gs	gs	PROPN
ejpam-5551	402	29	method	method	NOUN
ejpam-5551	402	30	,	,	PUNCT
ejpam-5551	402	31	and	and	CCONJ
ejpam-5551	402	32	the	the	DET
ejpam-5551	402	33	newton4eggs	newton4eggs	NOUN
ejpam-5551	402	34	method	method	NOUN
ejpam-5551	402	35	is	be	AUX
ejpam-5551	402	36	in	in	ADP
ejpam-5551	402	37	turn	turn	NOUN
ejpam-5551	402	38	36.12	36.12	NUM
ejpam-5551	402	39	%	%	NOUN
ejpam-5551	402	40	faster	fast	ADV
ejpam-5551	402	41	than	than	ADP
ejpam-5551	402	42	the	the	DET
ejpam-5551	402	43	newton-2eggs	newton-2eggs	PROPN
ejpam-5551	402	44	,	,	PUNCT
ejpam-5551	402	45	so	so	SCONJ
ejpam-5551	402	46	it	it	PRON
ejpam-5551	402	47	can	can	AUX
ejpam-5551	402	48	be	be	AUX
ejpam-5551	402	49	concluded	conclude	VERB
ejpam-5551	402	50	that	that	SCONJ
ejpam-5551	402	51	our	our	PRON
ejpam-5551	402	52	proposed	propose	VERB
ejpam-5551	402	53	iterative	iterative	NOUN
ejpam-5551	402	54	method	method	NOUN
ejpam-5551	402	55	is	be	AUX
ejpam-5551	402	56	able	able	ADJ
ejpam-5551	402	57	to	to	PART
ejpam-5551	402	58	achieve	achieve	VERB
ejpam-5551	402	59	a	a	DET
ejpam-5551	402	60	substantial	substantial	ADJ
ejpam-5551	402	61	improvement	improvement	NOUN
ejpam-5551	402	62	in	in	ADP
ejpam-5551	402	63	the	the	DET
ejpam-5551	402	64	number	number	NOUN
ejpam-5551	402	65	of	of	ADP
ejpam-5551	402	66	iterations	iteration	NOUN
ejpam-5551	402	67	and	and	CCONJ
ejpam-5551	402	68	the	the	DET
ejpam-5551	402	69	execution	execution	NOUN
ejpam-5551	402	70	time	time	NOUN
ejpam-5551	402	71	over	over	ADP
ejpam-5551	402	72	the	the	DET
ejpam-5551	402	73	reference	reference	NOUN
ejpam-5551	402	74	newton	newton	PROPN
ejpam-5551	402	75	-	-	PUNCT
ejpam-5551	402	76	gs	gs	PROPN
ejpam-5551	402	77	method	method	NOUN
ejpam-5551	402	78	and	and	CCONJ
ejpam-5551	402	79	newton-4eggs	newton-4egg	NOUN
ejpam-5551	402	80	performs	perform	VERB
ejpam-5551	402	81	better	well	ADV
ejpam-5551	402	82	.	.	PUNCT
ejpam-5551	403	1	6	6	X
ejpam-5551	403	2	.	.	X
ejpam-5551	403	3	conclusion	conclusion	NOUN
ejpam-5551	403	4	this	this	DET
ejpam-5551	403	5	paper	paper	NOUN
ejpam-5551	403	6	focuses	focus	VERB
ejpam-5551	403	7	on	on	ADP
ejpam-5551	403	8	algorithms	algorithm	NOUN
ejpam-5551	403	9	for	for	ADP
ejpam-5551	403	10	solving	solve	VERB
ejpam-5551	403	11	large	large	ADJ
ejpam-5551	403	12	-	-	PUNCT
ejpam-5551	403	13	scale	scale	NOUN
ejpam-5551	403	14	multi	multi	ADJ
ejpam-5551	403	15	-	-	ADJ
ejpam-5551	403	16	objective	objective	ADJ
ejpam-5551	403	17	constrained	constrain	VERB
ejpam-5551	403	18	optimization	optimization	NOUN
ejpam-5551	403	19	problems	problem	NOUN
ejpam-5551	403	20	.	.	PUNCT
ejpam-5551	404	1	based	base	VERB
ejpam-5551	404	2	on	on	ADP
ejpam-5551	404	3	the	the	DET
ejpam-5551	404	4	characteristics	characteristic	NOUN
ejpam-5551	404	5	of	of	ADP
ejpam-5551	404	6	the	the	DET
ejpam-5551	404	7	objective	objective	ADJ
ejpam-5551	404	8	functions	function	NOUN
ejpam-5551	404	9	and	and	CCONJ
ejpam-5551	404	10	constraints	constraint	NOUN
ejpam-5551	404	11	,	,	PUNCT
ejpam-5551	404	12	new	new	PROPN
ejpam-5551	404	13	newton	newton	PROPN
ejpam-5551	404	14	group	group	PROPN
ejpam-5551	404	15	iterative	iterative	NOUN
ejpam-5551	404	16	methods	method	NOUN
ejpam-5551	404	17	is	be	AUX
ejpam-5551	404	18	proposed	propose	VERB
ejpam-5551	404	19	based	base	VERB
ejpam-5551	404	20	on	on	ADP
ejpam-5551	404	21	the	the	DET
ejpam-5551	404	22	classical	classical	ADJ
ejpam-5551	404	23	optimization	optimization	NOUN
ejpam-5551	404	24	algorithms	algorithm	NOUN
ejpam-5551	404	25	:	:	PUNCT
ejpam-5551	404	26	weighting	weighting	NOUN
ejpam-5551	404	27	,	,	PUNCT
ejpam-5551	404	28	lagrange	lagrange	NOUN
ejpam-5551	404	29	multiplier	multiplier	ADV
ejpam-5551	404	30	,	,	PUNCT
ejpam-5551	404	31	and	and	CCONJ
ejpam-5551	404	32	newton	newton	PROPN
ejpam-5551	404	33	method	method	NOUN
ejpam-5551	404	34	.	.	PUNCT
ejpam-5551	405	1	the	the	DET
ejpam-5551	405	2	convergence	convergence	NOUN
ejpam-5551	405	3	of	of	ADP
ejpam-5551	405	4	the	the	DET
ejpam-5551	405	5	method	method	NOUN
ejpam-5551	405	6	is	be	AUX
ejpam-5551	405	7	also	also	ADV
ejpam-5551	405	8	theoretically	theoretically	ADV
ejpam-5551	405	9	analyzed	analyze	VERB
ejpam-5551	405	10	,	,	PUNCT
ejpam-5551	405	11	and	and	CCONJ
ejpam-5551	405	12	then	then	ADV
ejpam-5551	405	13	the	the	DET
ejpam-5551	405	14	method	method	NOUN
ejpam-5551	405	15	is	be	AUX
ejpam-5551	405	16	used	use	VERB
ejpam-5551	405	17	in	in	ADP
ejpam-5551	405	18	four	four	NUM
ejpam-5551	405	19	different	different	ADJ
ejpam-5551	405	20	examples	example	NOUN
ejpam-5551	405	21	,	,	PUNCT
ejpam-5551	405	22	and	and	CCONJ
ejpam-5551	405	23	the	the	DET
ejpam-5551	405	24	computational	computational	ADJ
ejpam-5551	405	25	results	result	NOUN
ejpam-5551	405	26	of	of	ADP
ejpam-5551	405	27	the	the	DET
ejpam-5551	405	28	new	new	ADJ
ejpam-5551	405	29	method	method	NOUN
ejpam-5551	405	30	and	and	CCONJ
ejpam-5551	405	31	the	the	DET
ejpam-5551	405	32	reference	reference	NOUN
ejpam-5551	405	33	method	method	NOUN
ejpam-5551	405	34	in	in	ADP
ejpam-5551	405	35	terms	term	NOUN
ejpam-5551	405	36	of	of	ADP
ejpam-5551	405	37	the	the	DET
ejpam-5551	405	38	number	number	NOUN
ejpam-5551	405	39	of	of	ADP
ejpam-5551	405	40	iterations	iteration	NOUN
ejpam-5551	405	41	and	and	CCONJ
ejpam-5551	405	42	the	the	DET
ejpam-5551	405	43	computational	computational	ADJ
ejpam-5551	405	44	time	time	NOUN
ejpam-5551	405	45	are	be	AUX
ejpam-5551	405	46	shown	show	VERB
ejpam-5551	405	47	in	in	ADP
ejpam-5551	405	48	the	the	DET
ejpam-5551	405	49	form	form	NOUN
ejpam-5551	405	50	of	of	ADP
ejpam-5551	405	51	tables	table	NOUN
ejpam-5551	405	52	and	and	CCONJ
ejpam-5551	405	53	graphs	graph	NOUN
ejpam-5551	405	54	.	.	PUNCT
ejpam-5551	406	1	finally	finally	ADV
ejpam-5551	406	2	,	,	PUNCT
ejpam-5551	406	3	a	a	DET
ejpam-5551	406	4	comparative	comparative	ADJ
ejpam-5551	406	5	analysis	analysis	NOUN
ejpam-5551	406	6	verifies	verifie	NOUN
ejpam-5551	406	7	the	the	DET
ejpam-5551	406	8	obvious	obvious	ADJ
ejpam-5551	406	9	superiority	superiority	NOUN
ejpam-5551	406	10	of	of	ADP
ejpam-5551	406	11	our	our	PRON
ejpam-5551	406	12	proposed	propose	VERB
ejpam-5551	406	13	method	method	NOUN
ejpam-5551	406	14	compared	compare	VERB
ejpam-5551	406	15	with	with	ADP
ejpam-5551	406	16	the	the	DET
ejpam-5551	406	17	reference	reference	NOUN
ejpam-5551	406	18	newton	newton	PROPN
ejpam-5551	406	19	-	-	PUNCT
ejpam-5551	406	20	gauss	gaus	VERB
ejpam-5551	406	21	-	-	PUNCT
ejpam-5551	406	22	seidel	seidel	NOUN
ejpam-5551	406	23	method	method	NOUN
ejpam-5551	406	24	,	,	PUNCT
ejpam-5551	406	25	especially	especially	ADV
ejpam-5551	406	26	in	in	ADP
ejpam-5551	406	27	terms	term	NOUN
ejpam-5551	406	28	of	of	ADP
ejpam-5551	406	29	the	the	DET
ejpam-5551	406	30	number	number	NOUN
ejpam-5551	406	31	of	of	ADP
ejpam-5551	406	32	iterations	iteration	NOUN
ejpam-5551	406	33	and	and	CCONJ
ejpam-5551	406	34	computational	computational	ADJ
ejpam-5551	406	35	time	time	NOUN
ejpam-5551	406	36	,	,	PUNCT
ejpam-5551	406	37	which	which	PRON
ejpam-5551	406	38	greatly	greatly	ADV
ejpam-5551	406	39	reduces	reduce	VERB
ejpam-5551	406	40	the	the	DET
ejpam-5551	406	41	computational	computational	ADJ
ejpam-5551	406	42	complexity	complexity	NOUN
ejpam-5551	406	43	.	.	PUNCT
ejpam-5551	407	1	this	this	PRON
ejpam-5551	407	2	provides	provide	VERB
ejpam-5551	407	3	a	a	DET
ejpam-5551	407	4	new	new	ADJ
ejpam-5551	407	5	idea	idea	NOUN
ejpam-5551	407	6	for	for	ADP
ejpam-5551	407	7	solving	solve	VERB
ejpam-5551	407	8	large	large	ADJ
ejpam-5551	407	9	-	-	PUNCT
ejpam-5551	407	10	scale	scale	NOUN
ejpam-5551	407	11	multi	multi	ADJ
ejpam-5551	407	12	-	-	ADJ
ejpam-5551	407	13	objective	objective	ADJ
ejpam-5551	407	14	constrained	constrain	VERB
ejpam-5551	407	15	optimization	optimization	NOUN
ejpam-5551	407	16	problems	problem	NOUN
ejpam-5551	407	17	.	.	PUNCT
ejpam-5551	408	1	then	then	ADV
ejpam-5551	408	2	how	how	SCONJ
ejpam-5551	408	3	to	to	PART
ejpam-5551	408	4	innovate	innovate	VERB
ejpam-5551	408	5	the	the	DET
ejpam-5551	408	6	method	method	NOUN
ejpam-5551	408	7	to	to	PART
ejpam-5551	408	8	make	make	VERB
ejpam-5551	408	9	the	the	DET
ejpam-5551	408	10	computation	computation	NOUN
ejpam-5551	408	11	more	more	ADV
ejpam-5551	408	12	efficient	efficient	ADJ
ejpam-5551	408	13	or	or	CCONJ
ejpam-5551	408	14	to	to	PART
ejpam-5551	408	15	compute	compute	VERB
ejpam-5551	408	16	the	the	DET
ejpam-5551	408	17	ultra	ultra	ADJ
ejpam-5551	408	18	-	-	ADJ
ejpam-5551	408	19	large	large	ADJ
ejpam-5551	408	20	scale	scale	NOUN
ejpam-5551	408	21	multi	multi	ADJ
ejpam-5551	408	22	-	-	ADJ
ejpam-5551	408	23	objective	objective	ADJ
ejpam-5551	408	24	optimization	optimization	NOUN
ejpam-5551	408	25	problem	problem	NOUN
ejpam-5551	408	26	will	will	AUX
ejpam-5551	408	27	be	be	AUX
ejpam-5551	408	28	the	the	DET
ejpam-5551	408	29	direction	direction	NOUN
ejpam-5551	408	30	of	of	ADP
ejpam-5551	408	31	our	our	PRON
ejpam-5551	408	32	next	next	ADJ
ejpam-5551	408	33	research	research	NOUN
ejpam-5551	408	34	.	.	PUNCT
ejpam-5551	409	1	for	for	ADP
ejpam-5551	409	2	future	future	ADJ
ejpam-5551	409	3	work	work	NOUN
ejpam-5551	409	4	,	,	PUNCT
ejpam-5551	409	5	this	this	DET
ejpam-5551	409	6	study	study	NOUN
ejpam-5551	409	7	will	will	AUX
ejpam-5551	409	8	be	be	AUX
ejpam-5551	410	1	p.	p.	PROPN
ejpam-5551	410	2	cheng	cheng	PROPN
ejpam-5551	410	3	et	et	PROPN
ejpam-5551	410	4	al	al	PROPN
ejpam-5551	410	5	.	.	PUNCT
ejpam-5551	410	6	/	/	SYM
ejpam-5551	410	7	eur	eur	PROPN
ejpam-5551	410	8	.	.	PUNCT
ejpam-5551	411	1	j.	j.	PROPN
ejpam-5551	411	2	pure	pure	PROPN
ejpam-5551	411	3	appl	appl	PROPN
ejpam-5551	411	4	.	.	PROPN
ejpam-5551	411	5	math	math	PROPN
ejpam-5551	411	6	,	,	PUNCT
ejpam-5551	411	7	18	18	NUM
ejpam-5551	411	8	(	(	PUNCT
ejpam-5551	411	9	1	1	NUM
ejpam-5551	411	10	)	)	PUNCT
ejpam-5551	411	11	(	(	PUNCT
ejpam-5551	411	12	2025	2025	NUM
ejpam-5551	411	13	)	)	PUNCT
ejpam-5551	411	14	,	,	PUNCT
ejpam-5551	411	15	5551	5551	NUM
ejpam-5551	411	16	20	20	NUM
ejpam-5551	411	17	of	of	ADP
ejpam-5551	411	18	22	22	NUM
ejpam-5551	411	19	extended	extended	ADJ
ejpam-5551	411	20	to	to	PART
ejpam-5551	411	21	investigate	investigate	VERB
ejpam-5551	411	22	on	on	ADP
ejpam-5551	411	23	the	the	DET
ejpam-5551	411	24	use	use	NOUN
ejpam-5551	411	25	of	of	ADP
ejpam-5551	411	26	two	two	NUM
ejpam-5551	411	27	-	-	PUNCT
ejpam-5551	411	28	step	step	NOUN
ejpam-5551	411	29	iterative	iterative	NOUN
ejpam-5551	411	30	methods	method	NOUN
ejpam-5551	411	31	such	such	ADJ
ejpam-5551	411	32	as	as	ADP
ejpam-5551	411	33	arithmetic	arithmetic	ADJ
ejpam-5551	411	34	mean	mean	NOUN
ejpam-5551	412	1	[	[	X
ejpam-5551	412	2	27	27	NUM
ejpam-5551	412	3	,	,	PUNCT
ejpam-5551	412	4	33	33	NUM
ejpam-5551	412	5	]	]	PUNCT
ejpam-5551	412	6	,	,	PUNCT
ejpam-5551	412	7	geometric	geometric	ADJ
ejpam-5551	412	8	mean[28	mean[28	NOUN
ejpam-5551	412	9	]	]	PUNCT
ejpam-5551	412	10	and	and	CCONJ
ejpam-5551	412	11	age[7	age[7	NOUN
ejpam-5551	412	12	]	]	X
ejpam-5551	412	13	as	as	ADP
ejpam-5551	412	14	a	a	DET
ejpam-5551	412	15	smoother	smooth	ADJ
ejpam-5551	412	16	combined	combine	VERB
ejpam-5551	412	17	with	with	ADP
ejpam-5551	412	18	the	the	DET
ejpam-5551	412	19	newton	newton	PROPN
ejpam-5551	412	20	method	method	NOUN
ejpam-5551	412	21	to	to	PART
ejpam-5551	412	22	solve	solve	VERB
ejpam-5551	412	23	the	the	DET
ejpam-5551	412	24	proposed	propose	VERB
ejpam-5551	412	25	multi	multi	ADJ
ejpam-5551	412	26	-	-	ADJ
ejpam-5551	412	27	objective	objective	ADJ
ejpam-5551	412	28	constrained	constrain	VERB
ejpam-5551	412	29	optimization	optimization	NOUN
ejpam-5551	412	30	problems	problem	NOUN
ejpam-5551	412	31	.	.	PUNCT
ejpam-5551	413	1	acknowledgements	acknowledgement	NOUN
ejpam-5551	413	2	the	the	DET
ejpam-5551	413	3	research	research	NOUN
ejpam-5551	413	4	was	be	AUX
ejpam-5551	413	5	found	find	VERB
ejpam-5551	413	6	by	by	ADP
ejpam-5551	413	7	the	the	DET
ejpam-5551	413	8	universiti	universiti	PROPN
ejpam-5551	413	9	malaysia	malaysia	PROPN
ejpam-5551	413	10	sabah	sabah	PROPN
ejpam-5551	413	11	’s	’s	PART
ejpam-5551	413	12	umsgreat	umsgreat	PROPN
ejpam-5551	413	13	research	research	PROPN
ejpam-5551	413	14	grant	grant	NOUN
ejpam-5551	413	15	no	no	PRON
ejpam-5551	413	16	.	.	PUNCT
ejpam-5551	414	1	gug0568	gug0568	PROPN
ejpam-5551	414	2	-	-	PUNCT
ejpam-5551	414	3	1/2022	1/2022	PROPN
ejpam-5551	414	4	.	.	PUNCT
ejpam-5551	415	1	references	reference	NOUN
ejpam-5551	415	2	[	[	X
ejpam-5551	415	3	1	1	NUM
ejpam-5551	415	4	]	]	PUNCT
ejpam-5551	415	5	m	m	PROPN
ejpam-5551	415	6	s	s	NOUN
ejpam-5551	415	7	bazaraa	bazaraa	NOUN
ejpam-5551	415	8	,	,	PUNCT
ejpam-5551	415	9	h	h	NOUN
ejpam-5551	415	10	d	d	X
ejpam-5551	415	11	sherali	sherali	PROPN
ejpam-5551	415	12	,	,	PUNCT
ejpam-5551	415	13	and	and	CCONJ
ejpam-5551	415	14	c	c	NOUN
ejpam-5551	415	15	m	m	PROPN
ejpam-5551	415	16	shetty	shetty	PROPN
ejpam-5551	415	17	.	.	PUNCT
ejpam-5551	416	1	nonlinear	nonlinear	ADJ
ejpam-5551	416	2	multiobjective	multiobjective	ADJ
ejpam-5551	416	3	optimization	optimization	NOUN
ejpam-5551	416	4	.	.	PUNCT
ejpam-5551	417	1	john	john	PROPN
ejpam-5551	417	2	wiley	wiley	PROPN
ejpam-5551	417	3	&	&	CCONJ
ejpam-5551	417	4	sons	son	NOUN
ejpam-5551	417	5	,	,	PUNCT
ejpam-5551	417	6	new	new	PROPN
ejpam-5551	417	7	york	york	PROPN
ejpam-5551	417	8	,	,	PUNCT
ejpam-5551	417	9	usa	usa	PROPN
ejpam-5551	417	10	,	,	PUNCT
ejpam-5551	417	11	2006	2006	NUM
ejpam-5551	417	12	.	.	PUNCT
ejpam-5551	418	1	[	[	X
ejpam-5551	418	2	2	2	NUM
ejpam-5551	418	3	]	]	X
ejpam-5551	418	4	r	r	NOUN
ejpam-5551	418	5	h	h	NOUN
ejpam-5551	418	6	byrd	byrd	PROPN
ejpam-5551	418	7	and	and	CCONJ
ejpam-5551	418	8	j.	j.	PROPN
ejpam-5551	418	9	nocedal	nocedal	PROPN
ejpam-5551	418	10	.	.	PUNCT
ejpam-5551	419	1	a	a	DET
ejpam-5551	419	2	tool	tool	NOUN
ejpam-5551	419	3	for	for	ADP
ejpam-5551	419	4	the	the	DET
ejpam-5551	419	5	analysis	analysis	NOUN
ejpam-5551	419	6	of	of	ADP
ejpam-5551	419	7	quasi	quasi	ADJ
ejpam-5551	419	8	-	-	ADJ
ejpam-5551	419	9	newton	newton	PROPN
ejpam-5551	419	10	methods	method	NOUN
ejpam-5551	419	11	with	with	ADP
ejpam-5551	419	12	application	application	NOUN
ejpam-5551	419	13	to	to	ADP
ejpam-5551	419	14	unconstrained	unconstrained	ADJ
ejpam-5551	419	15	minimization	minimization	NOUN
ejpam-5551	419	16	.	.	PUNCT
ejpam-5551	420	1	siam	siam	PROPN
ejpam-5551	420	2	journal	journal	PROPN
ejpam-5551	420	3	on	on	ADP
ejpam-5551	420	4	numerical	numerical	ADJ
ejpam-5551	420	5	analysis	analysis	NOUN
ejpam-5551	420	6	,	,	PUNCT
ejpam-5551	420	7	26(3):727–739	26(3):727–739	NUM
ejpam-5551	420	8	,	,	PUNCT
ejpam-5551	420	9	1989	1989	NUM
ejpam-5551	420	10	.	.	PUNCT
ejpam-5551	421	1	[	[	X
ejpam-5551	421	2	3	3	NUM
ejpam-5551	421	3	]	]	SYM
ejpam-5551	421	4	b	b	NOUN
ejpam-5551	421	5	cakir	cakir	NOUN
ejpam-5551	421	6	,	,	PUNCT
ejpam-5551	421	7	f	f	PROPN
ejpam-5551	421	8	altiparmak	altiparmak	NOUN
ejpam-5551	421	9	,	,	PUNCT
ejpam-5551	421	10	and	and	CCONJ
ejpam-5551	421	11	b	b	PROPN
ejpam-5551	421	12	dengiz	dengiz	NOUN
ejpam-5551	421	13	.	.	PUNCT
ejpam-5551	422	1	multi	multi	ADJ
ejpam-5551	422	2	-	-	ADJ
ejpam-5551	422	3	objective	objective	ADJ
ejpam-5551	422	4	optimization	optimization	NOUN
ejpam-5551	422	5	of	of	ADP
ejpam-5551	422	6	a	a	DET
ejpam-5551	422	7	stochastic	stochastic	ADJ
ejpam-5551	422	8	assembly	assembly	NOUN
ejpam-5551	422	9	line	line	NOUN
ejpam-5551	422	10	balancing	balancing	NOUN
ejpam-5551	422	11	:	:	PUNCT
ejpam-5551	422	12	a	a	DET
ejpam-5551	422	13	hybrid	hybrid	ADJ
ejpam-5551	422	14	simulated	simulated	ADJ
ejpam-5551	422	15	annealing	anneal	VERB
ejpam-5551	422	16	algorithm	algorithm	NOUN
ejpam-5551	422	17	.	.	PUNCT
ejpam-5551	423	1	computers	computer	NOUN
ejpam-5551	423	2	&	&	CCONJ
ejpam-5551	423	3	industrial	industrial	ADJ
ejpam-5551	423	4	engineering	engineering	NOUN
ejpam-5551	423	5	,	,	PUNCT
ejpam-5551	423	6	60(3):376–384	60(3):376–384	PROPN
ejpam-5551	423	7	,	,	PUNCT
ejpam-5551	423	8	2011	2011	NUM
ejpam-5551	423	9	.	.	PUNCT
ejpam-5551	424	1	[	[	X
ejpam-5551	424	2	4	4	X
ejpam-5551	424	3	]	]	X
ejpam-5551	424	4	p	p	X
ejpam-5551	424	5	cheng	cheng	PROPN
ejpam-5551	424	6	,	,	PUNCT
ejpam-5551	424	7	j	j	PROPN
ejpam-5551	424	8	sulaiman	sulaiman	PROPN
ejpam-5551	424	9	,	,	PUNCT
ejpam-5551	424	10	k	k	PROPN
ejpam-5551	424	11	ghazali	ghazali	PROPN
ejpam-5551	424	12	,	,	PUNCT
ejpam-5551	424	13	m	m	PROPN
ejpam-5551	424	14	k	k	PROPN
ejpam-5551	424	15	m	m	VERB
ejpam-5551	424	16	ali	ali	PROPN
ejpam-5551	424	17	,	,	PUNCT
ejpam-5551	424	18	and	and	CCONJ
ejpam-5551	424	19	m	m	VERB
ejpam-5551	424	20	m	m	VERB
ejpam-5551	424	21	xu	xu	ADJ
ejpam-5551	424	22	.	.	PUNCT
ejpam-5551	424	23	application	application	NOUN
ejpam-5551	424	24	of	of	ADP
ejpam-5551	424	25	newtonsor	newtonsor	NOUN
ejpam-5551	424	26	iteration	iteration	NOUN
ejpam-5551	424	27	with	with	ADP
ejpam-5551	424	28	linear	linear	PROPN
ejpam-5551	424	29	weighted	weight	VERB
ejpam-5551	424	30	lagrange	lagrange	NOUN
ejpam-5551	424	31	approach	approach	NOUN
ejpam-5551	424	32	for	for	ADP
ejpam-5551	424	33	solving	solve	VERB
ejpam-5551	424	34	multi	multi	ADJ
ejpam-5551	424	35	-	-	ADJ
ejpam-5551	424	36	objective	objective	ADJ
ejpam-5551	424	37	constrained	constrain	VERB
ejpam-5551	424	38	optimization	optimization	NOUN
ejpam-5551	424	39	problems	problem	NOUN
ejpam-5551	424	40	.	.	PUNCT
ejpam-5551	425	1	in	in	ADP
ejpam-5551	425	2	in	in	ADP
ejpam-5551	425	3	international	international	ADJ
ejpam-5551	425	4	conference	conference	NOUN
ejpam-5551	425	5	on	on	ADP
ejpam-5551	425	6	advances	advance	NOUN
ejpam-5551	425	7	in	in	ADP
ejpam-5551	425	8	computational	computational	ADJ
ejpam-5551	425	9	science	science	NOUN
ejpam-5551	425	10	and	and	CCONJ
ejpam-5551	425	11	engineering	engineering	NOUN
ejpam-5551	425	12	,	,	PUNCT
ejpam-5551	425	13	pages	page	NOUN
ejpam-5551	425	14	3–16	3–16	PROPN
ejpam-5551	425	15	,	,	PUNCT
ejpam-5551	425	16	manila	manila	PROPN
ejpam-5551	425	17	,	,	PUNCT
ejpam-5551	425	18	philippines	philippine	NOUN
ejpam-5551	425	19	,	,	PUNCT
ejpam-5551	425	20	2024	2024	NUM
ejpam-5551	425	21	.	.	PUNCT
ejpam-5551	426	1	springer	springer	NOUN
ejpam-5551	426	2	nature	nature	PROPN
ejpam-5551	426	3	singapore	singapore	PROPN
ejpam-5551	426	4	.	.	PUNCT
ejpam-5551	427	1	[	[	X
ejpam-5551	427	2	5	5	X
ejpam-5551	427	3	]	]	X
ejpam-5551	427	4	p	p	X
ejpam-5551	427	5	cheng	cheng	PROPN
ejpam-5551	427	6	,	,	PUNCT
ejpam-5551	427	7	j	j	PROPN
ejpam-5551	427	8	sulaiman	sulaiman	PROPN
ejpam-5551	427	9	,	,	PUNCT
ejpam-5551	427	10	k	k	PROPN
ejpam-5551	427	11	ghazali	ghazali	PROPN
ejpam-5551	427	12	,	,	PUNCT
ejpam-5551	427	13	m	m	PROPN
ejpam-5551	427	14	k	k	PROPN
ejpam-5551	427	15	m	m	VERB
ejpam-5551	427	16	ali	ali	PROPN
ejpam-5551	427	17	,	,	PUNCT
ejpam-5551	427	18	and	and	CCONJ
ejpam-5551	427	19	m	m	NOUN
ejpam-5551	427	20	m	m	VERB
ejpam-5551	427	21	xu	xu	PROPN
ejpam-5551	427	22	.	.	PUNCT
ejpam-5551	428	1	newton	newton	PROPN
ejpam-5551	428	2	-	-	PUNCT
ejpam-5551	428	3	sor	sor	NOUN
ejpam-5551	428	4	iterative	iterative	NOUN
ejpam-5551	428	5	method	method	NOUN
ejpam-5551	428	6	with	with	ADP
ejpam-5551	428	7	lagrangian	lagrangian	ADJ
ejpam-5551	428	8	function	function	NOUN
ejpam-5551	428	9	for	for	ADP
ejpam-5551	428	10	large	large	ADJ
ejpam-5551	428	11	-	-	PUNCT
ejpam-5551	428	12	scale	scale	NOUN
ejpam-5551	428	13	nonlinear	nonlinear	ADJ
ejpam-5551	428	14	constrained	constrain	VERB
ejpam-5551	428	15	optimization	optimization	NOUN
ejpam-5551	428	16	problems	problem	NOUN
ejpam-5551	428	17	.	.	PUNCT
ejpam-5551	429	1	journal	journal	NOUN
ejpam-5551	429	2	of	of	ADP
ejpam-5551	429	3	advanced	advanced	ADJ
ejpam-5551	429	4	research	research	NOUN
ejpam-5551	429	5	in	in	ADP
ejpam-5551	429	6	applied	apply	VERB
ejpam-5551	429	7	sciences	science	NOUN
ejpam-5551	429	8	and	and	CCONJ
ejpam-5551	429	9	engineering	engineering	NOUN
ejpam-5551	429	10	technology	technology	NOUN
ejpam-5551	429	11	,	,	PUNCT
ejpam-5551	429	12	46(2):251–262	46(2):251–262	PROPN
ejpam-5551	429	13	,	,	PUNCT
ejpam-5551	429	14	2025	2025	NUM
ejpam-5551	429	15	.	.	PUNCT
ejpam-5551	430	1	[	[	X
ejpam-5551	430	2	6	6	NUM
ejpam-5551	430	3	]	]	X
ejpam-5551	430	4	k	k	PROPN
ejpam-5551	430	5	deb	deb	PROPN
ejpam-5551	430	6	,	,	PUNCT
ejpam-5551	430	7	k	k	PROPN
ejpam-5551	430	8	sindhya	sindhya	PROPN
ejpam-5551	430	9	,	,	PUNCT
ejpam-5551	430	10	and	and	CCONJ
ejpam-5551	430	11	j	j	PROPN
ejpam-5551	430	12	hakanen	hakanen	PROPN
ejpam-5551	430	13	.	.	PUNCT
ejpam-5551	431	1	multi	multi	ADJ
ejpam-5551	431	2	-	-	ADJ
ejpam-5551	431	3	objective	objective	ADJ
ejpam-5551	431	4	optimization	optimization	NOUN
ejpam-5551	431	5	.	.	PUNCT
ejpam-5551	432	1	decision	decision	NOUN
ejpam-5551	432	2	sciences	science	NOUN
ejpam-5551	432	3	,	,	PUNCT
ejpam-5551	432	4	crc	crc	NOUN
ejpam-5551	432	5	press	press	NOUN
ejpam-5551	432	6	,	,	PUNCT
ejpam-5551	432	7	2016	2016	NUM
ejpam-5551	432	8	.	.	PUNCT
ejpam-5551	433	1	[	[	X
ejpam-5551	433	2	7	7	NUM
ejpam-5551	433	3	]	]	X
ejpam-5551	433	4	d	d	PROPN
ejpam-5551	433	5	j	j	PROPN
ejpam-5551	433	6	evans	evans	PROPN
ejpam-5551	433	7	.	.	PUNCT
ejpam-5551	434	1	the	the	DET
ejpam-5551	434	2	alternating	alternate	VERB
ejpam-5551	434	3	group	group	NOUN
ejpam-5551	434	4	explicit	explicit	ADJ
ejpam-5551	434	5	(	(	PUNCT
ejpam-5551	434	6	age	age	NOUN
ejpam-5551	434	7	)	)	PUNCT
ejpam-5551	434	8	matrix	matrix	NOUN
ejpam-5551	434	9	iterative	iterative	NOUN
ejpam-5551	434	10	method	method	NOUN
ejpam-5551	434	11	.	.	PUNCT
ejpam-5551	435	1	applied	apply	VERB
ejpam-5551	435	2	mathematical	mathematical	ADJ
ejpam-5551	435	3	modelling	modelling	NOUN
ejpam-5551	435	4	,	,	PUNCT
ejpam-5551	435	5	11(4):256–263	11(4):256–263	PROPN
ejpam-5551	435	6	,	,	PUNCT
ejpam-5551	435	7	1987	1987	NUM
ejpam-5551	435	8	.	.	PUNCT
ejpam-5551	436	1	[	[	X
ejpam-5551	436	2	8	8	NUM
ejpam-5551	436	3	]	]	X
ejpam-5551	436	4	d	d	PROPN
ejpam-5551	436	5	j	j	PROPN
ejpam-5551	436	6	evans	evans	PROPN
ejpam-5551	436	7	and	and	CCONJ
ejpam-5551	436	8	a	a	DET
ejpam-5551	436	9	r	r	NOUN
ejpam-5551	436	10	b	b	PROPN
ejpam-5551	436	11	abdullah	abdullah	PROPN
ejpam-5551	436	12	.	.	PUNCT
ejpam-5551	437	1	group	group	NOUN
ejpam-5551	437	2	explicit	explicit	ADJ
ejpam-5551	437	3	methods	method	NOUN
ejpam-5551	437	4	for	for	ADP
ejpam-5551	437	5	parabolic	parabolic	ADJ
ejpam-5551	437	6	equations	equation	NOUN
ejpam-5551	437	7	.	.	PUNCT
ejpam-5551	438	1	international	international	ADJ
ejpam-5551	438	2	journal	journal	PROPN
ejpam-5551	438	3	of	of	ADP
ejpam-5551	438	4	computer	computer	NOUN
ejpam-5551	438	5	mathematics	mathematic	NOUN
ejpam-5551	438	6	,	,	PUNCT
ejpam-5551	438	7	14(1):73–105	14(1):73–105	NUM
ejpam-5551	438	8	,	,	PUNCT
ejpam-5551	438	9	1983	1983	NUM
ejpam-5551	438	10	.	.	PUNCT
ejpam-5551	439	1	[	[	X
ejpam-5551	439	2	9	9	NUM
ejpam-5551	439	3	]	]	SYM
ejpam-5551	439	4	s	s	X
ejpam-5551	439	5	k	k	PROPN
ejpam-5551	439	6	s	s	PROPN
ejpam-5551	439	7	fan	fan	NOUN
ejpam-5551	439	8	and	and	CCONJ
ejpam-5551	439	9	j	j	PROPN
ejpam-5551	439	10	m	m	PROPN
ejpam-5551	439	11	chang	chang	PROPN
ejpam-5551	439	12	.	.	PUNCT
ejpam-5551	440	1	a	a	DET
ejpam-5551	440	2	parallel	parallel	ADJ
ejpam-5551	440	3	particle	particle	NOUN
ejpam-5551	440	4	swarm	swarm	NOUN
ejpam-5551	440	5	optimization	optimization	NOUN
ejpam-5551	440	6	algorithm	algorithm	NOUN
ejpam-5551	440	7	for	for	ADP
ejpam-5551	440	8	multiobjective	multiobjective	ADJ
ejpam-5551	440	9	optimization	optimization	NOUN
ejpam-5551	440	10	problems	problem	NOUN
ejpam-5551	440	11	.	.	PUNCT
ejpam-5551	441	1	engineering	engineer	VERB
ejpam-5551	441	2	optimization	optimization	NOUN
ejpam-5551	441	3	,	,	PUNCT
ejpam-5551	441	4	41(7):673–697	41(7):673–697	NUM
ejpam-5551	441	5	,	,	PUNCT
ejpam-5551	441	6	2009	2009	NUM
ejpam-5551	441	7	.	.	PUNCT
ejpam-5551	442	1	[	[	X
ejpam-5551	442	2	10	10	NUM
ejpam-5551	442	3	]	]	X
ejpam-5551	442	4	z	z	NOUN
ejpam-5551	442	5	fan	fan	PROPN
ejpam-5551	442	6	,	,	PUNCT
ejpam-5551	442	7	w	w	PROPN
ejpam-5551	442	8	li	li	PROPN
ejpam-5551	442	9	x	x	SYM
ejpam-5551	442	10	cai	cai	PROPN
ejpam-5551	442	11	,	,	PUNCT
ejpam-5551	442	12	h	h	PROPN
ejpam-5551	442	13	li	li	PROPN
ejpam-5551	442	14	c	c	PROPN
ejpam-5551	442	15	wei	wei	PROPN
ejpam-5551	442	16	,	,	PUNCT
ejpam-5551	442	17	q	q	PROPN
ejpam-5551	442	18	zhang	zhang	PROPN
ejpam-5551	442	19	,	,	PUNCT
ejpam-5551	442	20	k	k	PROPN
ejpam-5551	442	21	deb	deb	PROPN
ejpam-5551	442	22	,	,	PUNCT
ejpam-5551	442	23	and	and	CCONJ
ejpam-5551	442	24	e	e	PROPN
ejpam-5551	442	25	goodman	goodman	PROPN
ejpam-5551	442	26	.	.	PUNCT
ejpam-5551	443	1	difficulty	difficulty	NOUN
ejpam-5551	443	2	adjustable	adjustable	ADJ
ejpam-5551	443	3	and	and	CCONJ
ejpam-5551	443	4	scalable	scalable	ADJ
ejpam-5551	443	5	constrained	constrain	VERB
ejpam-5551	443	6	multiobjective	multiobjective	ADJ
ejpam-5551	443	7	test	test	NOUN
ejpam-5551	443	8	problem	problem	NOUN
ejpam-5551	443	9	toolkit	toolkit	NOUN
ejpam-5551	443	10	.	.	PUNCT
ejpam-5551	444	1	evolutionary	evolutionary	ADJ
ejpam-5551	444	2	computation	computation	NOUN
ejpam-5551	444	3	,	,	PUNCT
ejpam-5551	444	4	28(3):339–378	28(3):339–378	PROPN
ejpam-5551	444	5	,	,	PUNCT
ejpam-5551	444	6	2020	2020	NUM
ejpam-5551	444	7	.	.	PUNCT
ejpam-5551	445	1	[	[	X
ejpam-5551	445	2	11	11	NUM
ejpam-5551	445	3	]	]	X
ejpam-5551	445	4	z	z	NOUN
ejpam-5551	445	5	fan	fan	PROPN
ejpam-5551	445	6	,	,	PUNCT
ejpam-5551	445	7	w	w	PROPN
ejpam-5551	445	8	li	li	PROPN
ejpam-5551	445	9	,	,	PUNCT
ejpam-5551	445	10	x	x	X
ejpam-5551	445	11	cai	cai	X
ejpam-5551	445	12	,	,	PUNCT
ejpam-5551	445	13	h	h	PROPN
ejpam-5551	445	14	li	li	PROPN
ejpam-5551	445	15	,	,	PUNCT
ejpam-5551	445	16	k	k	PROPN
ejpam-5551	445	17	hu	hu	PROPN
ejpam-5551	445	18	,	,	PUNCT
ejpam-5551	445	19	and	and	CCONJ
ejpam-5551	445	20	h	h	PROPN
ejpam-5551	445	21	yin	yin	PROPN
ejpam-5551	445	22	.	.	PUNCT
ejpam-5551	446	1	difficulty	difficulty	NOUN
ejpam-5551	446	2	controllable	controllable	ADJ
ejpam-5551	446	3	and	and	CCONJ
ejpam-5551	446	4	scalable	scalable	ADJ
ejpam-5551	446	5	constrained	constrain	VERB
ejpam-5551	446	6	multi	multi	ADJ
ejpam-5551	446	7	-	-	ADJ
ejpam-5551	446	8	objective	objective	ADJ
ejpam-5551	446	9	test	test	NOUN
ejpam-5551	446	10	problems	problem	NOUN
ejpam-5551	446	11	.	.	PUNCT
ejpam-5551	447	1	in	in	ADP
ejpam-5551	447	2	2015	2015	NUM
ejpam-5551	447	3	international	international	ADJ
ejpam-5551	447	4	conference	conference	NOUN
ejpam-5551	447	5	on	on	ADP
ejpam-5551	447	6	industrial	industrial	ADJ
ejpam-5551	447	7	informatics	informatic	NOUN
ejpam-5551	447	8	-	-	PUNCT
ejpam-5551	447	9	computing	compute	VERB
ejpam-5551	447	10	technology	technology	NOUN
ejpam-5551	447	11	,	,	PUNCT
ejpam-5551	447	12	intelligent	intelligent	ADJ
ejpam-5551	447	13	technology	technology	NOUN
ejpam-5551	447	14	,	,	PUNCT
ejpam-5551	447	15	industrial	industrial	ADJ
ejpam-5551	447	16	information	information	NOUN
ejpam-5551	447	17	integration	integration	NOUN
ejpam-5551	447	18	.	.	PUNCT
ejpam-5551	447	19	,	,	PUNCT
ejpam-5551	447	20	pages	page	NOUN
ejpam-5551	447	21	76–83	76–83	NUM
ejpam-5551	447	22	,	,	PUNCT
ejpam-5551	447	23	wuhan	wuhan	PROPN
ejpam-5551	447	24	,	,	PUNCT
ejpam-5551	447	25	china	china	PROPN
ejpam-5551	447	26	,	,	PUNCT
ejpam-5551	447	27	2015	2015	NUM
ejpam-5551	447	28	.	.	PUNCT
ejpam-5551	448	1	ieee	ieee	NOUN
ejpam-5551	448	2	.	.	PUNCT
ejpam-5551	449	1	p.	p.	NOUN
ejpam-5551	449	2	cheng	cheng	PROPN
ejpam-5551	449	3	et	et	PROPN
ejpam-5551	449	4	al	al	PROPN
ejpam-5551	449	5	.	.	PUNCT
ejpam-5551	449	6	/	/	SYM
ejpam-5551	449	7	eur	eur	PROPN
ejpam-5551	449	8	.	.	PUNCT
ejpam-5551	450	1	j.	j.	PROPN
ejpam-5551	450	2	pure	pure	PROPN
ejpam-5551	450	3	appl	appl	PROPN
ejpam-5551	450	4	.	.	PROPN
ejpam-5551	450	5	math	math	PROPN
ejpam-5551	450	6	,	,	PUNCT
ejpam-5551	450	7	18	18	NUM
ejpam-5551	450	8	(	(	PUNCT
ejpam-5551	450	9	1	1	NUM
ejpam-5551	450	10	)	)	PUNCT
ejpam-5551	450	11	(	(	PUNCT
ejpam-5551	450	12	2025	2025	NUM
ejpam-5551	450	13	)	)	PUNCT
ejpam-5551	450	14	,	,	PUNCT
ejpam-5551	450	15	5551	5551	NUM
ejpam-5551	450	16	21	21	NUM
ejpam-5551	450	17	of	of	ADP
ejpam-5551	450	18	22	22	NUM
ejpam-5551	451	1	[	[	X
ejpam-5551	451	2	12	12	NUM
ejpam-5551	451	3	]	]	X
ejpam-5551	451	4	k	k	PROPN
ejpam-5551	451	5	ghazali	ghazali	PROPN
ejpam-5551	451	6	,	,	PUNCT
ejpam-5551	451	7	j	j	PROPN
ejpam-5551	451	8	sulaiman	sulaiman	PROPN
ejpam-5551	451	9	,	,	PUNCT
ejpam-5551	451	10	y	y	PROPN
ejpam-5551	451	11	dasril	dasril	PROPN
ejpam-5551	451	12	,	,	PUNCT
ejpam-5551	451	13	and	and	CCONJ
ejpam-5551	451	14	d	d	ADP
ejpam-5551	451	15	gabda	gabda	NOUN
ejpam-5551	451	16	.	.	PUNCT
ejpam-5551	452	1	newton	newton	PROPN
ejpam-5551	452	2	method	method	PROPN
ejpam-5551	452	3	with	with	ADP
ejpam-5551	452	4	explicit	explicit	ADJ
ejpam-5551	452	5	group	group	NOUN
ejpam-5551	452	6	iteration	iteration	NOUN
ejpam-5551	452	7	for	for	ADP
ejpam-5551	452	8	solving	solve	VERB
ejpam-5551	452	9	large	large	ADJ
ejpam-5551	452	10	scale	scale	NOUN
ejpam-5551	452	11	unconstrained	unconstrained	ADJ
ejpam-5551	452	12	optimization	optimization	NOUN
ejpam-5551	452	13	problems	problem	NOUN
ejpam-5551	452	14	.	.	PUNCT
ejpam-5551	453	1	in	in	ADP
ejpam-5551	453	2	journal	journal	PROPN
ejpam-5551	453	3	of	of	ADP
ejpam-5551	453	4	physics	physics	PROPN
ejpam-5551	453	5	:	:	PUNCT
ejpam-5551	453	6	conference	conference	NOUN
ejpam-5551	453	7	series	series	NOUN
ejpam-5551	453	8	.	.	PUNCT
ejpam-5551	453	9	,	,	PUNCT
ejpam-5551	453	10	volume	volume	NOUN
ejpam-5551	453	11	1132	1132	NUM
ejpam-5551	453	12	.	.	PUNCT
ejpam-5551	454	1	iop	iop	NOUN
ejpam-5551	454	2	publishing	publishing	PROPN
ejpam-5551	454	3	,	,	PUNCT
ejpam-5551	454	4	putrajaya	putrajaya	PROPN
ejpam-5551	454	5	,	,	PUNCT
ejpam-5551	454	6	malaysia	malaysia	PROPN
ejpam-5551	454	7	,	,	PUNCT
ejpam-5551	454	8	2018	2018	NUM
ejpam-5551	454	9	.	.	PUNCT
ejpam-5551	455	1	[	[	X
ejpam-5551	455	2	13	13	NUM
ejpam-5551	455	3	]	]	X
ejpam-5551	455	4	k	k	PROPN
ejpam-5551	455	5	ghazali	ghazali	PROPN
ejpam-5551	455	6	,	,	PUNCT
ejpam-5551	455	7	j	j	PROPN
ejpam-5551	455	8	sulaiman	sulaiman	PROPN
ejpam-5551	455	9	,	,	PUNCT
ejpam-5551	455	10	y	y	PROPN
ejpam-5551	455	11	dasril	dasril	PROPN
ejpam-5551	455	12	,	,	PUNCT
ejpam-5551	455	13	and	and	CCONJ
ejpam-5551	455	14	d	d	ADP
ejpam-5551	455	15	gabda	gabda	NOUN
ejpam-5551	455	16	.	.	PUNCT
ejpam-5551	456	1	newton	newton	PROPN
ejpam-5551	456	2	-	-	PUNCT
ejpam-5551	456	3	msor	msor	PROPN
ejpam-5551	456	4	method	method	NOUN
ejpam-5551	456	5	for	for	ADP
ejpam-5551	456	6	solving	solve	VERB
ejpam-5551	456	7	large	large	ADJ
ejpam-5551	456	8	-	-	PUNCT
ejpam-5551	456	9	scale	scale	NOUN
ejpam-5551	456	10	unconstrained	unconstrained	ADJ
ejpam-5551	456	11	optimization	optimization	NOUN
ejpam-5551	456	12	problems	problem	NOUN
ejpam-5551	456	13	with	with	ADP
ejpam-5551	456	14	an	an	DET
ejpam-5551	456	15	arrowhead	arrowhead	NOUN
ejpam-5551	456	16	hessian	hessian	ADJ
ejpam-5551	456	17	matrices	matrix	NOUN
ejpam-5551	456	18	.	.	PUNCT
ejpam-5551	457	1	transactions	transaction	NOUN
ejpam-5551	457	2	on	on	ADP
ejpam-5551	457	3	science	science	NOUN
ejpam-5551	457	4	and	and	CCONJ
ejpam-5551	457	5	technology	technology	NOUN
ejpam-5551	457	6	,	,	PUNCT
ejpam-5551	457	7	6(2	6(2	NUM
ejpam-5551	457	8	-	-	SYM
ejpam-5551	457	9	2):228–234	2):228–234	NUM
ejpam-5551	457	10	,	,	PUNCT
ejpam-5551	457	11	2019	2019	NUM
ejpam-5551	457	12	.	.	PUNCT
ejpam-5551	458	1	[	[	X
ejpam-5551	458	2	14	14	NUM
ejpam-5551	458	3	]	]	X
ejpam-5551	458	4	k	k	PROPN
ejpam-5551	458	5	ghazali	ghazali	PROPN
ejpam-5551	458	6	,	,	PUNCT
ejpam-5551	458	7	j	j	PROPN
ejpam-5551	458	8	sulaiman	sulaiman	PROPN
ejpam-5551	458	9	,	,	PUNCT
ejpam-5551	458	10	y	y	PROPN
ejpam-5551	458	11	dasril	dasril	PROPN
ejpam-5551	458	12	,	,	PUNCT
ejpam-5551	458	13	and	and	CCONJ
ejpam-5551	458	14	d	d	ADP
ejpam-5551	458	15	gabda	gabda	NOUN
ejpam-5551	458	16	.	.	PUNCT
ejpam-5551	459	1	an	an	DET
ejpam-5551	459	2	improvement	improvement	NOUN
ejpam-5551	459	3	of	of	ADP
ejpam-5551	459	4	computing	computing	PROPN
ejpam-5551	459	5	newton	newton	PROPN
ejpam-5551	459	6	’s	’s	PART
ejpam-5551	459	7	direction	direction	NOUN
ejpam-5551	459	8	for	for	ADP
ejpam-5551	459	9	finding	find	VERB
ejpam-5551	459	10	unconstrained	unconstrained	ADJ
ejpam-5551	459	11	minimizer	minimizer	NOUN
ejpam-5551	459	12	for	for	ADP
ejpam-5551	459	13	large	large	ADJ
ejpam-5551	459	14	-	-	PUNCT
ejpam-5551	459	15	scale	scale	NOUN
ejpam-5551	459	16	problems	problem	NOUN
ejpam-5551	459	17	with	with	ADP
ejpam-5551	459	18	an	an	DET
ejpam-5551	459	19	arrowhead	arrowhead	NOUN
ejpam-5551	459	20	hessian	hessian	NOUN
ejpam-5551	459	21	matrix	matrix	NOUN
ejpam-5551	459	22	.	.	PUNCT
ejpam-5551	460	1	in	in	ADP
ejpam-5551	460	2	computational	computational	ADJ
ejpam-5551	460	3	science	science	NOUN
ejpam-5551	460	4	and	and	CCONJ
ejpam-5551	460	5	technology	technology	NOUN
ejpam-5551	460	6	:	:	PUNCT
ejpam-5551	460	7	6th	6th	ADJ
ejpam-5551	460	8	iccst	iccst	NOUN
ejpam-5551	460	9	2019	2019	NUM
ejpam-5551	460	10	.	.	PUNCT
ejpam-5551	460	11	,	,	PUNCT
ejpam-5551	460	12	volume	volume	NOUN
ejpam-5551	460	13	1132	1132	NUM
ejpam-5551	460	14	.	.	PUNCT
ejpam-5551	461	1	springer	springer	PROPN
ejpam-5551	461	2	singapore	singapore	PROPN
ejpam-5551	461	3	,	,	PUNCT
ejpam-5551	461	4	kota	kota	PROPN
ejpam-5551	461	5	kinabalu	kinabalu	PROPN
ejpam-5551	461	6	,	,	PUNCT
ejpam-5551	461	7	malaysia	malaysia	PROPN
ejpam-5551	461	8	,	,	PUNCT
ejpam-5551	461	9	2020	2020	NUM
ejpam-5551	461	10	.	.	PUNCT
ejpam-5551	462	1	[	[	X
ejpam-5551	462	2	15	15	NUM
ejpam-5551	462	3	]	]	X
ejpam-5551	462	4	n	n	DET
ejpam-5551	462	5	gunantara	gunantara	NOUN
ejpam-5551	462	6	.	.	PUNCT
ejpam-5551	463	1	a	a	DET
ejpam-5551	463	2	review	review	NOUN
ejpam-5551	463	3	of	of	ADP
ejpam-5551	463	4	multi	multi	ADJ
ejpam-5551	463	5	-	-	ADJ
ejpam-5551	463	6	objective	objective	ADJ
ejpam-5551	463	7	optimization	optimization	NOUN
ejpam-5551	463	8	:	:	PUNCT
ejpam-5551	463	9	methods	method	NOUN
ejpam-5551	463	10	and	and	CCONJ
ejpam-5551	463	11	its	its	PRON
ejpam-5551	463	12	applications	application	NOUN
ejpam-5551	463	13	.	.	PUNCT
ejpam-5551	464	1	cogent	cogent	NOUN
ejpam-5551	464	2	engineering	engineering	NOUN
ejpam-5551	464	3	,	,	PUNCT
ejpam-5551	464	4	5(1):1–16	5(1):1–16	NUM
ejpam-5551	464	5	,	,	PUNCT
ejpam-5551	464	6	2018	2018	NUM
ejpam-5551	464	7	.	.	PUNCT
ejpam-5551	465	1	[	[	X
ejpam-5551	465	2	16	16	NUM
ejpam-5551	465	3	]	]	X
ejpam-5551	465	4	y	y	PROPN
ejpam-5551	465	5	y	y	PROPN
ejpam-5551	465	6	han	han	PROPN
ejpam-5551	465	7	,	,	PUNCT
ejpam-5551	465	8	d	d	PROPN
ejpam-5551	465	9	w	w	PROPN
ejpam-5551	465	10	gong	gong	NOUN
ejpam-5551	465	11	,	,	PUNCT
ejpam-5551	465	12	x	x	PROPN
ejpam-5551	465	13	y	y	PROPN
ejpam-5551	465	14	sun	sun	PROPN
ejpam-5551	465	15	,	,	PUNCT
ejpam-5551	465	16	and	and	CCONJ
ejpam-5551	465	17	q	q	PROPN
ejpam-5551	465	18	k	k	PROPN
ejpam-5551	465	19	pan	pan	PROPN
ejpam-5551	465	20	.	.	PUNCT
ejpam-5551	466	1	an	an	DET
ejpam-5551	466	2	improved	improved	ADJ
ejpam-5551	466	3	nsga	nsga	NOUN
ejpam-5551	466	4	-	-	PUNCT
ejpam-5551	466	5	ii	ii	NOUN
ejpam-5551	466	6	algorithm	algorithm	NOUN
ejpam-5551	466	7	for	for	ADP
ejpam-5551	466	8	multi	multi	ADJ
ejpam-5551	466	9	-	-	ADJ
ejpam-5551	466	10	objective	objective	ADJ
ejpam-5551	466	11	lot	lot	NOUN
ejpam-5551	466	12	-	-	PUNCT
ejpam-5551	466	13	streaming	streaming	ADJ
ejpam-5551	466	14	flow	flow	NOUN
ejpam-5551	466	15	shop	shop	NOUN
ejpam-5551	466	16	scheduling	scheduling	NOUN
ejpam-5551	466	17	problem	problem	NOUN
ejpam-5551	466	18	.	.	PUNCT
ejpam-5551	467	1	international	international	ADJ
ejpam-5551	467	2	journal	journal	PROPN
ejpam-5551	467	3	of	of	ADP
ejpam-5551	467	4	production	production	NOUN
ejpam-5551	467	5	research	research	NOUN
ejpam-5551	467	6	,	,	PUNCT
ejpam-5551	467	7	52(8):2211–2231	52(8):2211–2231	NUM
ejpam-5551	467	8	,	,	PUNCT
ejpam-5551	467	9	2014	2014	NUM
ejpam-5551	467	10	.	.	PUNCT
ejpam-5551	468	1	[	[	X
ejpam-5551	468	2	17	17	NUM
ejpam-5551	468	3	]	]	X
ejpam-5551	468	4	m	m	VERB
ejpam-5551	468	5	hassan	hassan	PROPN
ejpam-5551	468	6	and	and	CCONJ
ejpam-5551	468	7	a	a	DET
ejpam-5551	468	8	baharum	baharum	NOUN
ejpam-5551	468	9	.	.	PUNCT
ejpam-5551	469	1	a	a	DET
ejpam-5551	469	2	new	new	ADJ
ejpam-5551	469	3	logarithmic	logarithmic	ADJ
ejpam-5551	469	4	penalty	penalty	NOUN
ejpam-5551	469	5	function	function	NOUN
ejpam-5551	469	6	approach	approach	NOUN
ejpam-5551	469	7	for	for	ADP
ejpam-5551	469	8	nonlinear	nonlinear	ADJ
ejpam-5551	469	9	constrained	constrain	VERB
ejpam-5551	469	10	optimization	optimization	NOUN
ejpam-5551	469	11	problem	problem	NOUN
ejpam-5551	469	12	.	.	PUNCT
ejpam-5551	470	1	decision	decision	NOUN
ejpam-5551	470	2	science	science	NOUN
ejpam-5551	470	3	letters	letter	NOUN
ejpam-5551	470	4	,	,	PUNCT
ejpam-5551	470	5	8(3):353–362	8(3):353–362	NUM
ejpam-5551	470	6	,	,	PUNCT
ejpam-5551	470	7	2019	2019	NUM
ejpam-5551	470	8	.	.	PUNCT
ejpam-5551	471	1	[	[	X
ejpam-5551	471	2	18	18	NUM
ejpam-5551	471	3	]	]	X
ejpam-5551	471	4	d	d	X
ejpam-5551	471	5	m	m	VERB
ejpam-5551	471	6	jaeggi	jaeggi	VERB
ejpam-5551	471	7	,	,	PUNCT
ejpam-5551	471	8	g	g	PROPN
ejpam-5551	471	9	t	t	PROPN
ejpam-5551	471	10	parks	park	NOUN
ejpam-5551	471	11	,	,	PUNCT
ejpam-5551	471	12	t	t	PROPN
ejpam-5551	471	13	kipouros	kipouro	NOUN
ejpam-5551	471	14	,	,	PUNCT
ejpam-5551	471	15	and	and	CCONJ
ejpam-5551	471	16	p	p	X
ejpam-5551	471	17	j	j	PROPN
ejpam-5551	471	18	clarkson	clarkson	PROPN
ejpam-5551	471	19	.	.	PUNCT
ejpam-5551	472	1	the	the	DET
ejpam-5551	472	2	development	development	NOUN
ejpam-5551	472	3	of	of	ADP
ejpam-5551	472	4	a	a	DET
ejpam-5551	472	5	multiobjective	multiobjective	ADJ
ejpam-5551	472	6	tabu	tabu	NOUN
ejpam-5551	472	7	search	search	NOUN
ejpam-5551	472	8	algorithm	algorithm	NOUN
ejpam-5551	472	9	for	for	ADP
ejpam-5551	472	10	continuous	continuous	ADJ
ejpam-5551	472	11	optimisation	optimisation	NOUN
ejpam-5551	472	12	problems	problem	NOUN
ejpam-5551	472	13	.	.	PUNCT
ejpam-5551	473	1	european	european	PROPN
ejpam-5551	473	2	journal	journal	PROPN
ejpam-5551	473	3	of	of	ADP
ejpam-5551	473	4	operational	operational	ADJ
ejpam-5551	473	5	research	research	NOUN
ejpam-5551	473	6	,	,	PUNCT
ejpam-5551	473	7	185(3):1192–1212	185(3):1192–1212	NUM
ejpam-5551	473	8	,	,	PUNCT
ejpam-5551	473	9	2008	2008	NUM
ejpam-5551	473	10	.	.	PUNCT
ejpam-5551	474	1	[	[	X
ejpam-5551	474	2	19	19	NUM
ejpam-5551	474	3	]	]	X
ejpam-5551	474	4	h	h	NOUN
ejpam-5551	474	5	jain	jain	PROPN
ejpam-5551	474	6	and	and	CCONJ
ejpam-5551	474	7	k	k	PROPN
ejpam-5551	474	8	deb	deb	PROPN
ejpam-5551	474	9	.	.	PUNCT
ejpam-5551	475	1	an	an	DET
ejpam-5551	475	2	evolutionary	evolutionary	ADJ
ejpam-5551	475	3	many	many	ADJ
ejpam-5551	475	4	-	-	PUNCT
ejpam-5551	475	5	objective	objective	ADJ
ejpam-5551	475	6	optimization	optimization	NOUN
ejpam-5551	475	7	algorithm	algorithm	NOUN
ejpam-5551	475	8	using	use	VERB
ejpam-5551	475	9	reference	reference	NOUN
ejpam-5551	475	10	-	-	PUNCT
ejpam-5551	475	11	point	point	NOUN
ejpam-5551	475	12	based	base	VERB
ejpam-5551	475	13	nondominated	nondominated	ADJ
ejpam-5551	475	14	sorting	sorting	NOUN
ejpam-5551	475	15	approach	approach	NOUN
ejpam-5551	475	16	,	,	PUNCT
ejpam-5551	475	17	part	part	PROPN
ejpam-5551	475	18	ii	ii	PROPN
ejpam-5551	475	19	:	:	PUNCT
ejpam-5551	475	20	handling	handle	VERB
ejpam-5551	475	21	constraints	constraint	NOUN
ejpam-5551	475	22	and	and	CCONJ
ejpam-5551	475	23	extending	extend	VERB
ejpam-5551	475	24	to	to	ADP
ejpam-5551	475	25	an	an	DET
ejpam-5551	475	26	adaptive	adaptive	ADJ
ejpam-5551	475	27	approach	approach	NOUN
ejpam-5551	475	28	.	.	PUNCT
ejpam-5551	476	1	ieee	ieee	NOUN
ejpam-5551	476	2	transactions	transaction	NOUN
ejpam-5551	476	3	on	on	ADP
ejpam-5551	476	4	evolutionary	evolutionary	ADJ
ejpam-5551	476	5	computation	computation	NOUN
ejpam-5551	476	6	,	,	PUNCT
ejpam-5551	476	7	18(4):602–622	18(4):602–622	PROPN
ejpam-5551	476	8	,	,	PUNCT
ejpam-5551	476	9	2013	2013	NUM
ejpam-5551	476	10	.	.	PUNCT
ejpam-5551	477	1	[	[	X
ejpam-5551	477	2	20	20	NUM
ejpam-5551	477	3	]	]	X
ejpam-5551	477	4	j	j	PROPN
ejpam-5551	477	5	e	e	PROPN
ejpam-5551	477	6	dennis	dennis	PROPN
ejpam-5551	477	7	jr	jr	PROPN
ejpam-5551	477	8	and	and	CCONJ
ejpam-5551	477	9	r	r	PROPN
ejpam-5551	477	10	b	b	PROPN
ejpam-5551	477	11	schnabel	schnabel	PROPN
ejpam-5551	477	12	.	.	PUNCT
ejpam-5551	478	1	numerical	numerical	ADJ
ejpam-5551	478	2	methods	method	NOUN
ejpam-5551	478	3	for	for	ADP
ejpam-5551	478	4	unconstrained	unconstrained	ADJ
ejpam-5551	478	5	optimization	optimization	NOUN
ejpam-5551	478	6	and	and	CCONJ
ejpam-5551	478	7	nonlinear	nonlinear	ADJ
ejpam-5551	478	8	equations	equation	NOUN
ejpam-5551	478	9	.	.	PUNCT
ejpam-5551	479	1	society	society	NOUN
ejpam-5551	479	2	for	for	ADP
ejpam-5551	479	3	industrial	industrial	ADJ
ejpam-5551	479	4	and	and	CCONJ
ejpam-5551	479	5	applied	applied	ADJ
ejpam-5551	479	6	mathematics	mathematic	NOUN
ejpam-5551	479	7	,	,	PUNCT
ejpam-5551	479	8	usa	usa	PROPN
ejpam-5551	479	9	,	,	PUNCT
ejpam-5551	479	10	1996	1996	NUM
ejpam-5551	479	11	.	.	PUNCT
ejpam-5551	480	1	[	[	X
ejpam-5551	480	2	21	21	NUM
ejpam-5551	480	3	]	]	X
ejpam-5551	480	4	j	j	PROPN
ejpam-5551	480	5	r	r	NOUN
ejpam-5551	480	6	kasprzyk	kasprzyk	NOUN
ejpam-5551	480	7	,	,	PUNCT
ejpam-5551	480	8	p	p	PROPN
ejpam-5551	480	9	m	m	PROPN
ejpam-5551	480	10	reed	reed	NOUN
ejpam-5551	480	11	,	,	PUNCT
ejpam-5551	480	12	b	b	PROPN
ejpam-5551	480	13	r	r	NOUN
ejpam-5551	480	14	kirsch	kirsch	NOUN
ejpam-5551	480	15	,	,	PUNCT
ejpam-5551	480	16	and	and	CCONJ
ejpam-5551	480	17	g	g	PROPN
ejpam-5551	480	18	w	w	PROPN
ejpam-5551	480	19	characklis	characklis	PROPN
ejpam-5551	480	20	.	.	PUNCT
ejpam-5551	481	1	managing	manage	VERB
ejpam-5551	481	2	population	population	NOUN
ejpam-5551	481	3	and	and	CCONJ
ejpam-5551	481	4	drought	drought	NOUN
ejpam-5551	481	5	risks	risk	NOUN
ejpam-5551	481	6	using	use	VERB
ejpam-5551	481	7	many	many	ADJ
ejpam-5551	481	8	-	-	PUNCT
ejpam-5551	481	9	objective	objective	ADJ
ejpam-5551	481	10	water	water	NOUN
ejpam-5551	481	11	portfolio	portfolio	NOUN
ejpam-5551	481	12	planning	planning	NOUN
ejpam-5551	481	13	under	under	ADP
ejpam-5551	481	14	uncertainty	uncertainty	NOUN
ejpam-5551	481	15	.	.	PUNCT
ejpam-5551	482	1	water	water	NOUN
ejpam-5551	482	2	resources	resource	NOUN
ejpam-5551	482	3	research	research	NOUN
ejpam-5551	482	4	,	,	PUNCT
ejpam-5551	482	5	45(12):1–18	45(12):1–18	NUM
ejpam-5551	482	6	,	,	PUNCT
ejpam-5551	482	7	2009	2009	NUM
ejpam-5551	482	8	.	.	PUNCT
ejpam-5551	483	1	[	[	X
ejpam-5551	483	2	22	22	NUM
ejpam-5551	483	3	]	]	X
ejpam-5551	483	4	a	a	DET
ejpam-5551	483	5	konak	konak	PROPN
ejpam-5551	483	6	,	,	PUNCT
ejpam-5551	483	7	d	d	PROPN
ejpam-5551	483	8	w	w	PROPN
ejpam-5551	483	9	coit	coit	PROPN
ejpam-5551	483	10	,	,	PUNCT
ejpam-5551	483	11	and	and	CCONJ
ejpam-5551	483	12	a	a	DET
ejpam-5551	483	13	e	e	PROPN
ejpam-5551	483	14	smith	smith	PROPN
ejpam-5551	483	15	.	.	PUNCT
ejpam-5551	484	1	multi	multi	ADJ
ejpam-5551	484	2	-	-	ADJ
ejpam-5551	484	3	objective	objective	ADJ
ejpam-5551	484	4	optimization	optimization	NOUN
ejpam-5551	484	5	using	use	VERB
ejpam-5551	484	6	genetic	genetic	ADJ
ejpam-5551	484	7	algorithms	algorithm	NOUN
ejpam-5551	484	8	:	:	PUNCT
ejpam-5551	484	9	a	a	DET
ejpam-5551	484	10	tutorial	tutorial	NOUN
ejpam-5551	484	11	.	.	PUNCT
ejpam-5551	485	1	reliability	reliability	NOUN
ejpam-5551	485	2	engineering	engineering	NOUN
ejpam-5551	485	3	&	&	CCONJ
ejpam-5551	485	4	system	system	NOUN
ejpam-5551	485	5	safety	safety	NOUN
ejpam-5551	485	6	,	,	PUNCT
ejpam-5551	485	7	91(9):992–10078	91(9):992–10078	NUM
ejpam-5551	485	8	,	,	PUNCT
ejpam-5551	485	9	2006	2006	NUM
ejpam-5551	485	10	.	.	PUNCT
ejpam-5551	486	1	[	[	X
ejpam-5551	486	2	23	23	NUM
ejpam-5551	486	3	]	]	X
ejpam-5551	486	4	y	y	PROPN
ejpam-5551	486	5	p	p	PROPN
ejpam-5551	486	6	laptin	laptin	PROPN
ejpam-5551	486	7	and	and	CCONJ
ejpam-5551	486	8	t	t	NOUN
ejpam-5551	486	9	o	o	X
ejpam-5551	486	10	bardadym	bardadym	PROPN
ejpam-5551	486	11	.	.	PUNCT
ejpam-5551	487	1	problems	problem	NOUN
ejpam-5551	487	2	related	relate	VERB
ejpam-5551	487	3	to	to	ADP
ejpam-5551	487	4	estimating	estimate	VERB
ejpam-5551	487	5	the	the	DET
ejpam-5551	487	6	coefficients	coefficient	NOUN
ejpam-5551	487	7	of	of	ADP
ejpam-5551	487	8	exact	exact	ADJ
ejpam-5551	487	9	penalty	penalty	NOUN
ejpam-5551	487	10	functions	function	NOUN
ejpam-5551	487	11	.	.	PUNCT
ejpam-5551	488	1	cybernetics	cybernetic	NOUN
ejpam-5551	488	2	and	and	CCONJ
ejpam-5551	488	3	systems	system	NOUN
ejpam-5551	488	4	analysis	analysis	NOUN
ejpam-5551	488	5	,	,	PUNCT
ejpam-5551	488	6	55:400–412	55:400–412	NUM
ejpam-5551	488	7	,	,	PUNCT
ejpam-5551	488	8	2019	2019	NUM
ejpam-5551	488	9	.	.	PUNCT
ejpam-5551	489	1	[	[	X
ejpam-5551	489	2	24	24	NUM
ejpam-5551	489	3	]	]	X
ejpam-5551	489	4	j	j	PROPN
ejpam-5551	489	5	v	v	NUM
ejpam-5551	489	6	lung	lung	PROPN
ejpam-5551	489	7	and	and	CCONJ
ejpam-5551	489	8	j	j	PROPN
ejpam-5551	489	9	sulaiman	sulaiman	PROPN
ejpam-5551	489	10	.	.	PUNCT
ejpam-5551	490	1	on	on	ADP
ejpam-5551	490	2	quarter	quarter	NOUN
ejpam-5551	490	3	-	-	PUNCT
ejpam-5551	490	4	sweep	sweep	VERB
ejpam-5551	490	5	finite	finite	ADJ
ejpam-5551	490	6	difference	difference	NOUN
ejpam-5551	490	7	scheme	scheme	NOUN
ejpam-5551	490	8	for	for	ADP
ejpam-5551	490	9	onedimensional	onedimensional	ADJ
ejpam-5551	490	10	porous	porous	ADJ
ejpam-5551	490	11	medium	medium	ADJ
ejpam-5551	490	12	equations	equation	NOUN
ejpam-5551	490	13	.	.	PUNCT
ejpam-5551	491	1	international	international	ADJ
ejpam-5551	491	2	journal	journal	NOUN
ejpam-5551	491	3	of	of	ADP
ejpam-5551	491	4	applied	apply	VERB
ejpam-5551	491	5	mathematics	mathematic	NOUN
ejpam-5551	491	6	,	,	PUNCT
ejpam-5551	491	7	33(3):439	33(3):439	NOUN
ejpam-5551	491	8	,	,	PUNCT
ejpam-5551	491	9	2020	2020	NUM
ejpam-5551	491	10	.	.	PUNCT
ejpam-5551	492	1	[	[	X
ejpam-5551	492	2	25	25	NUM
ejpam-5551	492	3	]	]	X
ejpam-5551	492	4	r	r	NOUN
ejpam-5551	492	5	j	j	PROPN
ejpam-5551	492	6	lygoe	lygoe	PROPN
ejpam-5551	492	7	,	,	PUNCT
ejpam-5551	492	8	m	m	PROPN
ejpam-5551	492	9	cary	cary	PROPN
ejpam-5551	492	10	,	,	PUNCT
ejpam-5551	492	11	and	and	CCONJ
ejpam-5551	492	12	p	p	DET
ejpam-5551	492	13	j	j	PROPN
ejpam-5551	492	14	fleming	fleming	PROPN
ejpam-5551	492	15	.	.	PUNCT
ejpam-5551	493	1	a	a	DET
ejpam-5551	493	2	many	many	ADJ
ejpam-5551	493	3	-	-	PUNCT
ejpam-5551	493	4	objective	objective	ADJ
ejpam-5551	493	5	optimisation	optimisation	NOUN
ejpam-5551	493	6	decision	decision	NOUN
ejpam-5551	493	7	-	-	PUNCT
ejpam-5551	493	8	making	make	VERB
ejpam-5551	493	9	process	process	NOUN
ejpam-5551	493	10	applied	apply	VERB
ejpam-5551	493	11	to	to	ADP
ejpam-5551	493	12	automotive	automotive	ADJ
ejpam-5551	493	13	diesel	diesel	NOUN
ejpam-5551	493	14	engine	engine	NOUN
ejpam-5551	493	15	calibration	calibration	NOUN
ejpam-5551	493	16	.	.	PUNCT
ejpam-5551	494	1	in	in	ADP
ejpam-5551	494	2	k	k	PROPN
ejpam-5551	494	3	deb	deb	PROPN
ejpam-5551	494	4	,	,	PUNCT
ejpam-5551	494	5	editor	editor	NOUN
ejpam-5551	494	6	,	,	PUNCT
ejpam-5551	494	7	simulated	simulate	VERB
ejpam-5551	494	8	evolution	evolution	NOUN
ejpam-5551	494	9	and	and	CCONJ
ejpam-5551	494	10	learning	learning	NOUN
ejpam-5551	494	11	.	.	PUNCT
ejpam-5551	495	1	,	,	PUNCT
ejpam-5551	495	2	volume	volume	NOUN
ejpam-5551	495	3	11b	11b	NOUN
ejpam-5551	495	4	.	.	PUNCT
ejpam-5551	495	5	springer	springer	PROPN
ejpam-5551	495	6	,	,	PUNCT
ejpam-5551	495	7	kanpur	kanpur	PROPN
ejpam-5551	495	8	,	,	PUNCT
ejpam-5551	495	9	india	india	PROPN
ejpam-5551	495	10	,	,	PUNCT
ejpam-5551	495	11	2010	2010	NUM
ejpam-5551	495	12	.	.	PUNCT
ejpam-5551	496	1	[	[	X
ejpam-5551	496	2	26	26	NUM
ejpam-5551	496	3	]	]	X
ejpam-5551	496	4	k	k	PROPN
ejpam-5551	496	5	miettinen	miettinen	PROPN
ejpam-5551	496	6	.	.	PUNCT
ejpam-5551	497	1	nonlinear	nonlinear	ADJ
ejpam-5551	497	2	multiobjective	multiobjective	ADJ
ejpam-5551	497	3	optimization	optimization	NOUN
ejpam-5551	497	4	.	.	PUNCT
ejpam-5551	498	1	springer	springer	NOUN
ejpam-5551	498	2	science	science	PROPN
ejpam-5551	498	3	&	&	CCONJ
ejpam-5551	498	4	business	business	NOUN
ejpam-5551	498	5	media	medium	NOUN
ejpam-5551	498	6	,	,	PUNCT
ejpam-5551	498	7	new	new	PROPN
ejpam-5551	498	8	york	york	PROPN
ejpam-5551	498	9	,	,	PUNCT
ejpam-5551	498	10	usa	usa	PROPN
ejpam-5551	498	11	,	,	PUNCT
ejpam-5551	498	12	1999	1999	NUM
ejpam-5551	498	13	.	.	PUNCT
ejpam-5551	499	1	p.	p.	NOUN
ejpam-5551	499	2	cheng	cheng	PROPN
ejpam-5551	499	3	et	et	PROPN
ejpam-5551	500	1	al	al	PROPN
ejpam-5551	500	2	.	.	PUNCT
ejpam-5551	500	3	/	/	SYM
ejpam-5551	500	4	eur	eur	PROPN
ejpam-5551	500	5	.	.	PUNCT
ejpam-5551	501	1	j.	j.	PROPN
ejpam-5551	501	2	pure	pure	PROPN
ejpam-5551	501	3	appl	appl	PROPN
ejpam-5551	501	4	.	.	PROPN
ejpam-5551	501	5	math	math	PROPN
ejpam-5551	501	6	,	,	PUNCT
ejpam-5551	501	7	18	18	NUM
ejpam-5551	501	8	(	(	PUNCT
ejpam-5551	501	9	1	1	NUM
ejpam-5551	501	10	)	)	PUNCT
ejpam-5551	501	11	(	(	PUNCT
ejpam-5551	501	12	2025	2025	NUM
ejpam-5551	501	13	)	)	PUNCT
ejpam-5551	501	14	,	,	PUNCT
ejpam-5551	501	15	5551	5551	NUM
ejpam-5551	501	16	22	22	NUM
ejpam-5551	501	17	of	of	ADP
ejpam-5551	501	18	22	22	NUM
ejpam-5551	502	1	[	[	X
ejpam-5551	502	2	27	27	NUM
ejpam-5551	502	3	]	]	X
ejpam-5551	502	4	m	m	PROPN
ejpam-5551	502	5	s	s	NOUN
ejpam-5551	502	6	muthuvalu	muthuvalu	NOUN
ejpam-5551	502	7	and	and	CCONJ
ejpam-5551	502	8	j	j	PROPN
ejpam-5551	502	9	sulaiman	sulaiman	PROPN
ejpam-5551	502	10	.	.	PUNCT
ejpam-5551	503	1	quarter	quarter	NOUN
ejpam-5551	503	2	-	-	PUNCT
ejpam-5551	503	3	sweep	sweep	VERB
ejpam-5551	503	4	arithmetic	arithmetic	ADJ
ejpam-5551	503	5	mean	mean	NOUN
ejpam-5551	503	6	(	(	PUNCT
ejpam-5551	503	7	qsam	qsam	NUM
ejpam-5551	503	8	)	)	PUNCT
ejpam-5551	503	9	iterative	iterative	NOUN
ejpam-5551	503	10	method	method	NOUN
ejpam-5551	503	11	for	for	ADP
ejpam-5551	503	12	second	second	ADJ
ejpam-5551	503	13	kind	kind	NOUN
ejpam-5551	503	14	linear	linear	NOUN
ejpam-5551	503	15	fredholm	fredholm	VERB
ejpam-5551	503	16	integral	integral	ADJ
ejpam-5551	503	17	equations	equation	NOUN
ejpam-5551	503	18	.	.	PUNCT
ejpam-5551	504	1	appl	appl	PROPN
ejpam-5551	504	2	.	.	PROPN
ejpam-5551	504	3	math	math	PROPN
ejpam-5551	504	4	.	.	PUNCT
ejpam-5551	505	1	sci	sci	PROPN
ejpam-5551	505	2	,	,	PUNCT
ejpam-5551	505	3	4:2943	4:2943	NUM
ejpam-5551	505	4	–	–	PUNCT
ejpam-5551	505	5	2953	2953	NUM
ejpam-5551	505	6	,	,	PUNCT
ejpam-5551	505	7	2010	2010	NUM
ejpam-5551	505	8	.	.	PUNCT
ejpam-5551	506	1	[	[	X
ejpam-5551	506	2	28	28	NUM
ejpam-5551	506	3	]	]	X
ejpam-5551	506	4	m	m	VERB
ejpam-5551	506	5	sundaram	sundaram	NOUN
ejpam-5551	506	6	muthuvalu	muthuvalu	NOUN
ejpam-5551	506	7	and	and	CCONJ
ejpam-5551	506	8	j	j	PROPN
ejpam-5551	506	9	sulaiman	sulaiman	PROPN
ejpam-5551	506	10	.	.	PUNCT
ejpam-5551	507	1	half	half	ADJ
ejpam-5551	507	2	-	-	PUNCT
ejpam-5551	507	3	sweep	sweep	NOUN
ejpam-5551	507	4	geometric	geometric	ADJ
ejpam-5551	507	5	mean	mean	NOUN
ejpam-5551	507	6	iterative	iterative	NOUN
ejpam-5551	507	7	method	method	NOUN
ejpam-5551	507	8	for	for	ADP
ejpam-5551	507	9	the	the	DET
ejpam-5551	507	10	repeated	repeat	VERB
ejpam-5551	507	11	simpson	simpson	NOUN
ejpam-5551	507	12	solution	solution	NOUN
ejpam-5551	507	13	of	of	ADP
ejpam-5551	507	14	second	second	ADJ
ejpam-5551	507	15	kind	kind	NOUN
ejpam-5551	507	16	linear	linear	NOUN
ejpam-5551	507	17	fredholm	fredholm	ADJ
ejpam-5551	507	18	integral	integral	ADJ
ejpam-5551	507	19	equations	equation	NOUN
ejpam-5551	507	20	.	.	PUNCT
ejpam-5551	508	1	proyecciones	proyeccione	NOUN
ejpam-5551	508	2	(	(	PUNCT
ejpam-5551	508	3	antofagasta	antofagasta	PROPN
ejpam-5551	508	4	)	)	PUNCT
ejpam-5551	508	5	,	,	PUNCT
ejpam-5551	508	6	31(1):65–79	31(1):65–79	NUM
ejpam-5551	508	7	,	,	PUNCT
ejpam-5551	508	8	2012	2012	NUM
ejpam-5551	508	9	.	.	PUNCT
ejpam-5551	509	1	[	[	X
ejpam-5551	509	2	29	29	NUM
ejpam-5551	509	3	]	]	SYM
ejpam-5551	509	4	v	v	NUM
ejpam-5551	509	5	h	h	NOUN
ejpam-5551	509	6	nguyen	nguyen	NOUN
ejpam-5551	510	1	and	and	CCONJ
ejpam-5551	510	2	j	j	PROPN
ejpam-5551	510	3	j	j	PROPN
ejpam-5551	510	4	strodiot	strodiot	PROPN
ejpam-5551	510	5	.	.	PUNCT
ejpam-5551	511	1	on	on	ADP
ejpam-5551	511	2	the	the	DET
ejpam-5551	511	3	convergence	convergence	NOUN
ejpam-5551	511	4	rate	rate	NOUN
ejpam-5551	511	5	for	for	ADP
ejpam-5551	511	6	a	a	DET
ejpam-5551	511	7	penalty	penalty	NOUN
ejpam-5551	511	8	function	function	NOUN
ejpam-5551	511	9	method	method	NOUN
ejpam-5551	511	10	of	of	ADP
ejpam-5551	511	11	exponential	exponential	ADJ
ejpam-5551	511	12	type	type	NOUN
ejpam-5551	511	13	.	.	PUNCT
ejpam-5551	512	1	journal	journal	NOUN
ejpam-5551	512	2	of	of	ADP
ejpam-5551	512	3	optimization	optimization	NOUN
ejpam-5551	512	4	theory	theory	NOUN
ejpam-5551	512	5	and	and	CCONJ
ejpam-5551	512	6	applications	application	NOUN
ejpam-5551	512	7	,	,	PUNCT
ejpam-5551	512	8	27:495–508	27:495–508	NUM
ejpam-5551	512	9	,	,	PUNCT
ejpam-5551	512	10	1979	1979	NUM
ejpam-5551	512	11	.	.	PUNCT
ejpam-5551	513	1	[	[	X
ejpam-5551	513	2	30	30	NUM
ejpam-5551	513	3	]	]	X
ejpam-5551	513	4	j	j	PROPN
ejpam-5551	513	5	ning	ning	PROPN
ejpam-5551	513	6	,	,	PUNCT
ejpam-5551	513	7	c	c	PROPN
ejpam-5551	513	8	zhang	zhang	PROPN
ejpam-5551	513	9	,	,	PUNCT
ejpam-5551	513	10	p	p	NOUN
ejpam-5551	513	11	sun	sun	NOUN
ejpam-5551	513	12	,	,	PUNCT
ejpam-5551	513	13	and	and	CCONJ
ejpam-5551	513	14	y	y	PROPN
ejpam-5551	513	15	feng	feng	PROPN
ejpam-5551	513	16	.	.	PUNCT
ejpam-5551	514	1	comparative	comparative	ADJ
ejpam-5551	514	2	study	study	NOUN
ejpam-5551	514	3	of	of	ADP
ejpam-5551	514	4	ant	ant	ADJ
ejpam-5551	514	5	colony	colony	NOUN
ejpam-5551	514	6	algorithms	algorithm	NOUN
ejpam-5551	514	7	for	for	ADP
ejpam-5551	514	8	multi	multi	ADJ
ejpam-5551	514	9	-	-	ADJ
ejpam-5551	514	10	objective	objective	ADJ
ejpam-5551	514	11	optimization	optimization	NOUN
ejpam-5551	514	12	.	.	PUNCT
ejpam-5551	515	1	information	information	NOUN
ejpam-5551	515	2	,	,	PUNCT
ejpam-5551	515	3	10(1):11	10(1):11	NUM
ejpam-5551	515	4	,	,	PUNCT
ejpam-5551	515	5	2018	2018	NUM
ejpam-5551	515	6	.	.	PUNCT
ejpam-5551	516	1	[	[	X
ejpam-5551	516	2	31	31	NUM
ejpam-5551	516	3	]	]	X
ejpam-5551	516	4	j	j	PROPN
ejpam-5551	516	5	nocedal	nocedal	PROPN
ejpam-5551	516	6	.	.	PUNCT
ejpam-5551	516	7	theory	theory	NOUN
ejpam-5551	516	8	of	of	ADP
ejpam-5551	516	9	algorithms	algorithm	NOUN
ejpam-5551	516	10	for	for	ADP
ejpam-5551	516	11	unconstrained	unconstrained	ADJ
ejpam-5551	516	12	optimization	optimization	NOUN
ejpam-5551	516	13	.	.	PUNCT
ejpam-5551	517	1	acta	acta	PROPN
ejpam-5551	517	2	numerica	numerica	PROPN
ejpam-5551	517	3	,	,	PUNCT
ejpam-5551	517	4	1:199–242	1:199–242	PROPN
ejpam-5551	517	5	,	,	PUNCT
ejpam-5551	517	6	1992	1992	NUM
ejpam-5551	517	7	.	.	PUNCT
ejpam-5551	518	1	[	[	X
ejpam-5551	518	2	32	32	NUM
ejpam-5551	518	3	]	]	X
ejpam-5551	518	4	r	r	NOUN
ejpam-5551	518	5	t	t	NOUN
ejpam-5551	518	6	rockafellar	rockafellar	ADJ
ejpam-5551	518	7	.	.	PUNCT
ejpam-5551	519	1	the	the	DET
ejpam-5551	519	2	multiplier	multipli	ADJ
ejpam-5551	519	3	method	method	NOUN
ejpam-5551	519	4	of	of	ADP
ejpam-5551	519	5	hestenes	hestene	NOUN
ejpam-5551	519	6	and	and	CCONJ
ejpam-5551	519	7	powell	powell	PROPN
ejpam-5551	519	8	applied	apply	VERB
ejpam-5551	519	9	to	to	ADP
ejpam-5551	519	10	convex	convex	NOUN
ejpam-5551	519	11	programming	programming	NOUN
ejpam-5551	519	12	.	.	PUNCT
ejpam-5551	520	1	journal	journal	PROPN
ejpam-5551	520	2	of	of	ADP
ejpam-5551	520	3	optimization	optimization	NOUN
ejpam-5551	520	4	theory	theory	NOUN
ejpam-5551	520	5	and	and	CCONJ
ejpam-5551	520	6	applications	application	NOUN
ejpam-5551	520	7	,	,	PUNCT
ejpam-5551	520	8	12(6):555–562	12(6):555–562	NUM
ejpam-5551	520	9	,	,	PUNCT
ejpam-5551	520	10	1973	1973	NUM
ejpam-5551	520	11	.	.	PUNCT
ejpam-5551	521	1	[	[	X
ejpam-5551	521	2	33	33	NUM
ejpam-5551	521	3	]	]	SYM
ejpam-5551	521	4	v	v	ADP
ejpam-5551	521	5	ruggiero	ruggiero	NOUN
ejpam-5551	521	6	and	and	CCONJ
ejpam-5551	521	7	e	e	NOUN
ejpam-5551	521	8	galligani	galligani	NOUN
ejpam-5551	521	9	.	.	PUNCT
ejpam-5551	522	1	an	an	DET
ejpam-5551	522	2	iterative	iterative	NOUN
ejpam-5551	522	3	method	method	NOUN
ejpam-5551	522	4	for	for	ADP
ejpam-5551	522	5	large	large	ADJ
ejpam-5551	522	6	sparse	sparse	ADJ
ejpam-5551	522	7	linear	linear	ADJ
ejpam-5551	522	8	systems	system	NOUN
ejpam-5551	522	9	on	on	ADP
ejpam-5551	522	10	a	a	DET
ejpam-5551	522	11	vector	vector	NOUN
ejpam-5551	522	12	computer	computer	NOUN
ejpam-5551	522	13	.	.	PUNCT
ejpam-5551	523	1	computers	computer	NOUN
ejpam-5551	523	2	&	&	CCONJ
ejpam-5551	523	3	mathematics	mathematics	PROPN
ejpam-5551	523	4	with	with	ADP
ejpam-5551	523	5	applications	application	NOUN
ejpam-5551	523	6	,	,	PUNCT
ejpam-5551	523	7	20(1):25–28	20(1):25–28	NUM
ejpam-5551	523	8	,	,	PUNCT
ejpam-5551	523	9	1990	1990	NUM
ejpam-5551	523	10	.	.	PUNCT
ejpam-5551	524	1	[	[	X
ejpam-5551	524	2	34	34	NUM
ejpam-5551	524	3	]	]	X
ejpam-5551	524	4	a	a	DET
ejpam-5551	524	5	saudi	saudi	ADJ
ejpam-5551	524	6	and	and	CCONJ
ejpam-5551	524	7	j	j	PROPN
ejpam-5551	524	8	sulaiman	sulaiman	PROPN
ejpam-5551	524	9	.	.	PUNCT
ejpam-5551	525	1	red	red	ADJ
ejpam-5551	525	2	-	-	PUNCT
ejpam-5551	525	3	black	black	ADJ
ejpam-5551	525	4	strategy	strategy	NOUN
ejpam-5551	525	5	for	for	ADP
ejpam-5551	525	6	mobile	mobile	ADJ
ejpam-5551	525	7	robot	robot	NOUN
ejpam-5551	525	8	path	path	NOUN
ejpam-5551	525	9	planning	planning	NOUN
ejpam-5551	525	10	.	.	PUNCT
ejpam-5551	526	1	in	in	ADP
ejpam-5551	526	2	proceedings	proceeding	NOUN
ejpam-5551	526	3	of	of	ADP
ejpam-5551	526	4	the	the	DET
ejpam-5551	526	5	international	international	ADJ
ejpam-5551	526	6	multiconference	multiconference	NOUN
ejpam-5551	526	7	of	of	ADP
ejpam-5551	526	8	engineers	engineer	NOUN
ejpam-5551	526	9	and	and	CCONJ
ejpam-5551	526	10	computer	computer	NOUN
ejpam-5551	526	11	scientists	scientist	NOUN
ejpam-5551	526	12	,	,	PUNCT
ejpam-5551	526	13	hong	hong	PROPN
ejpam-5551	526	14	kong	kong	PROPN
ejpam-5551	526	15	,	,	PUNCT
ejpam-5551	526	16	china	china	PROPN
ejpam-5551	526	17	,	,	PUNCT
ejpam-5551	526	18	2010	2010	NUM
ejpam-5551	526	19	.	.	PUNCT
ejpam-5551	527	1	international	international	ADJ
ejpam-5551	527	2	association	association	PROPN
ejpam-5551	527	3	of	of	ADP
ejpam-5551	527	4	engineers	engineer	NOUN
ejpam-5551	527	5	.	.	PUNCT
ejpam-5551	528	1	[	[	X
ejpam-5551	528	2	35	35	NUM
ejpam-5551	528	3	]	]	PUNCT
ejpam-5551	528	4	a	a	DET
ejpam-5551	528	5	saudi	saudi	ADJ
ejpam-5551	528	6	and	and	CCONJ
ejpam-5551	528	7	j	j	PROPN
ejpam-5551	528	8	sulaiman	sulaiman	PROPN
ejpam-5551	528	9	.	.	PUNCT
ejpam-5551	529	1	robot	robot	NOUN
ejpam-5551	529	2	path	path	NOUN
ejpam-5551	529	3	planning	planning	NOUN
ejpam-5551	529	4	using	use	VERB
ejpam-5551	529	5	four	four	NUM
ejpam-5551	529	6	point	point	NOUN
ejpam-5551	529	7	-	-	PUNCT
ejpam-5551	529	8	explicit	explicit	ADJ
ejpam-5551	529	9	group	group	NOUN
ejpam-5551	529	10	via	via	ADP
ejpam-5551	529	11	nine	nine	NUM
ejpam-5551	529	12	-	-	PUNCT
ejpam-5551	529	13	point	point	NOUN
ejpam-5551	529	14	laplacian	laplacian	X
ejpam-5551	529	15	(	(	PUNCT
ejpam-5551	529	16	4eg9l	4eg9l	NOUN
ejpam-5551	529	17	)	)	PUNCT
ejpam-5551	529	18	iterative	iterative	NOUN
ejpam-5551	529	19	method	method	NOUN
ejpam-5551	529	20	.	.	PUNCT
ejpam-5551	530	1	procedia	procedia	PROPN
ejpam-5551	530	2	engineering	engineering	PROPN
ejpam-5551	530	3	,	,	PUNCT
ejpam-5551	530	4	41:182–188	41:182–188	NUM
ejpam-5551	530	5	,	,	PUNCT
ejpam-5551	530	6	2012	2012	NUM
ejpam-5551	530	7	.	.	PUNCT
ejpam-5551	531	1	[	[	X
ejpam-5551	531	2	36	36	NUM
ejpam-5551	531	3	]	]	PUNCT
ejpam-5551	531	4	m.	m.	PROPN
ejpam-5551	531	5	k.	k.	PROPN
ejpam-5551	531	6	sharma	sharma	PROPN
ejpam-5551	531	7	,	,	PUNCT
ejpam-5551	531	8	a.	a.	PROPN
ejpam-5551	531	9	k.	k.	PROPN
ejpam-5551	531	10	bhargava	bhargava	PROPN
ejpam-5551	531	11	,	,	PUNCT
ejpam-5551	531	12	s.	s.	PROPN
ejpam-5551	531	13	kumar	kumar	PROPN
ejpam-5551	531	14	,	,	PUNCT
ejpam-5551	531	15	l.	l.	PROPN
ejpam-5551	531	16	rathour	rathour	PROPN
ejpam-5551	531	17	,	,	PUNCT
ejpam-5551	531	18	l.	l.	PROPN
ejpam-5551	531	19	n.	n.	PROPN
ejpam-5551	531	20	mishra	mishra	PROPN
ejpam-5551	531	21	,	,	PUNCT
ejpam-5551	531	22	and	and	CCONJ
ejpam-5551	531	23	s.	s.	PROPN
ejpam-5551	531	24	pandey	pandey	PROPN
ejpam-5551	531	25	.	.	PUNCT
ejpam-5551	532	1	a	a	DET
ejpam-5551	532	2	fermatean	fermatean	ADJ
ejpam-5551	532	3	fuzzy	fuzzy	ADJ
ejpam-5551	532	4	ranking	ranking	NOUN
ejpam-5551	532	5	function	function	NOUN
ejpam-5551	532	6	in	in	ADP
ejpam-5551	532	7	optimization	optimization	NOUN
ejpam-5551	532	8	of	of	ADP
ejpam-5551	532	9	intuitionistic	intuitionistic	ADJ
ejpam-5551	532	10	fuzzy	fuzzy	ADJ
ejpam-5551	532	11	transportation	transportation	NOUN
ejpam-5551	532	12	problems	problem	NOUN
ejpam-5551	532	13	.	.	PUNCT
ejpam-5551	533	1	advanced	advanced	ADJ
ejpam-5551	533	2	mathematical	mathematical	ADJ
ejpam-5551	533	3	models	model	NOUN
ejpam-5551	533	4	and	and	CCONJ
ejpam-5551	533	5	applications	application	NOUN
ejpam-5551	533	6	,	,	PUNCT
ejpam-5551	533	7	7(2):191–204	7(2):191–204	NUM
ejpam-5551	533	8	,	,	PUNCT
ejpam-5551	533	9	2022	2022	NUM
ejpam-5551	533	10	.	.	PUNCT
ejpam-5551	534	1	[	[	X
ejpam-5551	534	2	37	37	NUM
ejpam-5551	534	3	]	]	X
ejpam-5551	534	4	m	m	PROPN
ejpam-5551	534	5	k	k	PROPN
ejpam-5551	534	6	sharma	sharma	PROPN
ejpam-5551	534	7	,	,	PUNCT
ejpam-5551	534	8	s	s	PART
ejpam-5551	534	9	chaudhary	chaudhary	PROPN
ejpam-5551	534	10	,	,	PUNCT
ejpam-5551	534	11	l	l	NOUN
ejpam-5551	534	12	rathour	rathour	NOUN
ejpam-5551	534	13	,	,	PUNCT
ejpam-5551	534	14	and	and	CCONJ
ejpam-5551	534	15	v	v	AUX
ejpam-5551	534	16	n	n	PRON
ejpam-5551	534	17	mishra	mishra	PROPN
ejpam-5551	534	18	.	.	PROPN
ejpam-5551	534	19	modified	modify	VERB
ejpam-5551	534	20	genetic	genetic	ADJ
ejpam-5551	534	21	algorithm	algorithm	NOUN
ejpam-5551	534	22	with	with	ADP
ejpam-5551	534	23	novel	novel	NOUN
ejpam-5551	534	24	crossover	crossover	NOUN
ejpam-5551	534	25	and	and	CCONJ
ejpam-5551	534	26	mutation	mutation	NOUN
ejpam-5551	534	27	operator	operator	NOUN
ejpam-5551	534	28	in	in	ADP
ejpam-5551	534	29	travelling	travel	VERB
ejpam-5551	534	30	salesman	salesman	ADJ
ejpam-5551	534	31	problem	problem	NOUN
ejpam-5551	534	32	.	.	PUNCT
ejpam-5551	535	1	sigma	sigma	PROPN
ejpam-5551	535	2	journal	journal	PROPN
ejpam-5551	535	3	of	of	ADP
ejpam-5551	535	4	engineering	engineering	NOUN
ejpam-5551	535	5	and	and	CCONJ
ejpam-5551	535	6	natural	natural	ADJ
ejpam-5551	535	7	sciences	science	NOUN
ejpam-5551	535	8	,	,	PUNCT
ejpam-5551	535	9	42(6	42(6	NOUN
ejpam-5551	535	10	)	)	PUNCT
ejpam-5551	535	11	,	,	PUNCT
ejpam-5551	535	12	2024	2024	NUM
ejpam-5551	535	13	.	.	PUNCT
ejpam-5551	536	1	[	[	X
ejpam-5551	536	2	38	38	NUM
ejpam-5551	536	3	]	]	X
ejpam-5551	536	4	j	j	PROPN
ejpam-5551	536	5	sulaiman	sulaiman	PROPN
ejpam-5551	536	6	,	,	PUNCT
ejpam-5551	536	7	m	m	VERB
ejpam-5551	536	8	othman	othman	ADJ
ejpam-5551	536	9	,	,	PUNCT
ejpam-5551	536	10	and	and	CCONJ
ejpam-5551	536	11	m	m	PROPN
ejpam-5551	536	12	k	k	PROPN
ejpam-5551	536	13	hasan	hasan	PROPN
ejpam-5551	536	14	.	.	PUNCT
ejpam-5551	537	1	red	red	ADJ
ejpam-5551	537	2	-	-	PUNCT
ejpam-5551	537	3	black	black	ADJ
ejpam-5551	537	4	half	half	ADJ
ejpam-5551	537	5	-	-	PUNCT
ejpam-5551	537	6	sweep	sweep	NOUN
ejpam-5551	537	7	iterative	iterative	NOUN
ejpam-5551	537	8	method	method	NOUN
ejpam-5551	537	9	using	use	VERB
ejpam-5551	537	10	triangle	triangle	NOUN
ejpam-5551	537	11	finite	finite	PROPN
ejpam-5551	537	12	element	element	NOUN
ejpam-5551	537	13	approximation	approximation	NOUN
ejpam-5551	537	14	for	for	ADP
ejpam-5551	537	15	2d	2d	NUM
ejpam-5551	537	16	poisson	poisson	PROPN
ejpam-5551	537	17	equations	equation	NOUN
ejpam-5551	537	18	.	.	PUNCT
ejpam-5551	538	1	in	in	ADP
ejpam-5551	538	2	y	y	PROPN
ejpam-5551	538	3	shi	shi	PROPN
ejpam-5551	538	4	,	,	PUNCT
ejpam-5551	538	5	g	g	PROPN
ejpam-5551	538	6	d	d	PROPN
ejpam-5551	538	7	albada	albada	PROPN
ejpam-5551	538	8	,	,	PUNCT
ejpam-5551	538	9	j	j	PROPN
ejpam-5551	538	10	dongarra	dongarra	PROPN
ejpam-5551	538	11	,	,	PUNCT
ejpam-5551	538	12	and	and	CCONJ
ejpam-5551	538	13	p	p	NOUN
ejpam-5551	538	14	m	m	PROPN
ejpam-5551	538	15	a	a	DET
ejpam-5551	538	16	sloot	sloot	NOUN
ejpam-5551	538	17	,	,	PUNCT
ejpam-5551	538	18	editors	editor	NOUN
ejpam-5551	538	19	,	,	PUNCT
ejpam-5551	538	20	computational	computational	ADJ
ejpam-5551	538	21	science	science	NOUN
ejpam-5551	538	22	–	–	PUNCT
ejpam-5551	538	23	iccs	iccs	NOUN
ejpam-5551	538	24	2007	2007	NUM
ejpam-5551	538	25	:	:	PUNCT
ejpam-5551	538	26	7th	7th	ADJ
ejpam-5551	538	27	international	international	ADJ
ejpam-5551	538	28	conference	conference	NOUN
ejpam-5551	538	29	.	.	PUNCT
ejpam-5551	538	30	,	,	PUNCT
ejpam-5551	538	31	volume	volume	NOUN
ejpam-5551	538	32	4487	4487	NUM
ejpam-5551	538	33	.	.	PUNCT
ejpam-5551	539	1	springer	springer	PROPN
ejpam-5551	539	2	berlin	berlin	PROPN
ejpam-5551	539	3	heidelberg	heidelberg	PROPN
ejpam-5551	539	4	,	,	PUNCT
ejpam-5551	539	5	beijing	beijing	PROPN
ejpam-5551	539	6	,	,	PUNCT
ejpam-5551	539	7	china	china	PROPN
ejpam-5551	539	8	,	,	PUNCT
ejpam-5551	539	9	2007	2007	NUM
ejpam-5551	539	10	.	.	PUNCT