id	sid	tid	token	lemma	pos
ejpam-4364	1	1	european	european	PROPN
ejpam-4364	1	2	journal	journal	PROPN
ejpam-4364	1	3	of	of	ADP
ejpam-4364	1	4	pure	pure	ADJ
ejpam-4364	1	5	and	and	CCONJ
ejpam-4364	1	6	applied	apply	VERB
ejpam-4364	1	7	mathematics	mathematic	NOUN
ejpam-4364	1	8	vol	vol	NOUN
ejpam-4364	1	9	.	.	PROPN
ejpam-4364	2	1	15	15	NUM
ejpam-4364	2	2	,	,	PUNCT
ejpam-4364	2	3	no	no	INTJ
ejpam-4364	2	4	.	.	NOUN
ejpam-4364	2	5	2	2	NUM
ejpam-4364	2	6	,	,	PUNCT
ejpam-4364	2	7	2022	2022	NUM
ejpam-4364	2	8	,	,	PUNCT
ejpam-4364	2	9	784	784	NUM
ejpam-4364	2	10	-	-	SYM
ejpam-4364	2	11	795	795	NUM
ejpam-4364	2	12	issn	issn	PROPN
ejpam-4364	2	13	1307	1307	NUM
ejpam-4364	2	14	-	-	SYM
ejpam-4364	2	15	5543	5543	NUM
ejpam-4364	2	16	–	–	PUNCT
ejpam-4364	2	17	ejpam.com	ejpam.com	X
ejpam-4364	2	18	published	publish	VERB
ejpam-4364	2	19	by	by	ADP
ejpam-4364	2	20	new	new	PROPN
ejpam-4364	2	21	york	york	PROPN
ejpam-4364	2	22	business	business	PROPN
ejpam-4364	2	23	global	global	ADJ
ejpam-4364	2	24	new	new	ADJ
ejpam-4364	2	25	spectral	spectral	ADJ
ejpam-4364	2	26	idea	idea	NOUN
ejpam-4364	2	27	for	for	ADP
ejpam-4364	2	28	conjugate	conjugate	ADJ
ejpam-4364	2	29	gradient	gradient	ADJ
ejpam-4364	2	30	methods	method	NOUN
ejpam-4364	2	31	and	and	CCONJ
ejpam-4364	2	32	its	its	PRON
ejpam-4364	2	33	global	global	ADJ
ejpam-4364	2	34	convergence	convergence	NOUN
ejpam-4364	2	35	theorems	theorems	PROPN
ejpam-4364	2	36	aseel	aseel	PROPN
ejpam-4364	2	37	m.	m.	NOUN
ejpam-4364	2	38	qasim1	qasim1	PROPN
ejpam-4364	2	39	,	,	PUNCT
ejpam-4364	2	40	zinah	zinah	PROPN
ejpam-4364	2	41	f.	f.	PROPN
ejpam-4364	2	42	salih2,∗	salih2,∗	PROPN
ejpam-4364	2	43	1	1	NUM
ejpam-4364	2	44	department	department	NOUN
ejpam-4364	2	45	of	of	ADP
ejpam-4364	2	46	mathematics	mathematic	NOUN
ejpam-4364	2	47	,	,	PUNCT
ejpam-4364	2	48	college	college	NOUN
ejpam-4364	2	49	of	of	ADP
ejpam-4364	2	50	education	education	NOUN
ejpam-4364	2	51	of	of	ADP
ejpam-4364	2	52	pure	pure	ADJ
ejpam-4364	2	53	sciences	science	NOUN
ejpam-4364	2	54	,	,	PUNCT
ejpam-4364	2	55	university	university	NOUN
ejpam-4364	2	56	of	of	ADP
ejpam-4364	2	57	mosul	mosul	PROPN
ejpam-4364	2	58	,	,	PUNCT
ejpam-4364	2	59	mosul	mosul	PROPN
ejpam-4364	2	60	,	,	PUNCT
ejpam-4364	2	61	nineveh	nineveh	PROPN
ejpam-4364	2	62	,	,	PUNCT
ejpam-4364	2	63	iraq	iraq	PROPN
ejpam-4364	2	64	2	2	NUM
ejpam-4364	2	65	department	department	NOUN
ejpam-4364	2	66	of	of	ADP
ejpam-4364	2	67	mathematics	mathematic	NOUN
ejpam-4364	2	68	,	,	PUNCT
ejpam-4364	2	69	college	college	NOUN
ejpam-4364	2	70	of	of	ADP
ejpam-4364	2	71	computers	computer	NOUN
ejpam-4364	2	72	sciences	sciences	PROPN
ejpam-4364	2	73	and	and	CCONJ
ejpam-4364	2	74	mathematics	mathematic	NOUN
ejpam-4364	2	75	,	,	PUNCT
ejpam-4364	2	76	university	university	NOUN
ejpam-4364	2	77	of	of	ADP
ejpam-4364	2	78	mosul	mosul	PROPN
ejpam-4364	2	79	,	,	PUNCT
ejpam-4364	2	80	mosul	mosul	PROPN
ejpam-4364	2	81	,	,	PUNCT
ejpam-4364	2	82	nineveh	nineveh	PROPN
ejpam-4364	2	83	,	,	PUNCT
ejpam-4364	2	84	iraq	iraq	PROPN
ejpam-4364	2	85	abstract	abstract	NOUN
ejpam-4364	2	86	.	.	PUNCT
ejpam-4364	3	1	recently	recently	ADV
ejpam-4364	3	2	,	,	PUNCT
ejpam-4364	3	3	the	the	DET
ejpam-4364	3	4	unconstrained	unconstrained	ADJ
ejpam-4364	3	5	optimization	optimization	NOUN
ejpam-4364	3	6	conjugate	conjugate	VERB
ejpam-4364	3	7	gradient	gradient	ADJ
ejpam-4364	3	8	methods	method	NOUN
ejpam-4364	3	9	have	have	AUX
ejpam-4364	3	10	been	be	AUX
ejpam-4364	3	11	widely	widely	ADV
ejpam-4364	3	12	utilized	utilize	VERB
ejpam-4364	3	13	,	,	PUNCT
ejpam-4364	3	14	especially	especially	ADV
ejpam-4364	3	15	for	for	ADP
ejpam-4364	3	16	problems	problem	NOUN
ejpam-4364	3	17	that	that	PRON
ejpam-4364	3	18	are	be	AUX
ejpam-4364	3	19	known	know	VERB
ejpam-4364	3	20	as	as	ADP
ejpam-4364	3	21	large	large	ADJ
ejpam-4364	3	22	-	-	PUNCT
ejpam-4364	3	23	scale	scale	NOUN
ejpam-4364	3	24	problems	problem	NOUN
ejpam-4364	3	25	.	.	PUNCT
ejpam-4364	4	1	this	this	DET
ejpam-4364	4	2	work	work	NOUN
ejpam-4364	4	3	proposes	propose	VERB
ejpam-4364	4	4	a	a	DET
ejpam-4364	4	5	new	new	ADJ
ejpam-4364	4	6	spectral	spectral	ADJ
ejpam-4364	4	7	gradient	gradient	NOUN
ejpam-4364	4	8	coefficient	coefficient	NOUN
ejpam-4364	4	9	obtained	obtain	VERB
ejpam-4364	4	10	from	from	ADP
ejpam-4364	4	11	a	a	DET
ejpam-4364	4	12	convex	convex	ADJ
ejpam-4364	4	13	linear	linear	ADJ
ejpam-4364	4	14	combination	combination	NOUN
ejpam-4364	4	15	of	of	ADP
ejpam-4364	4	16	two	two	NUM
ejpam-4364	4	17	different	different	ADJ
ejpam-4364	4	18	gradient	gradient	ADJ
ejpam-4364	4	19	coefficients	coefficient	NOUN
ejpam-4364	4	20	to	to	PART
ejpam-4364	4	21	solve	solve	VERB
ejpam-4364	4	22	unconstrained	unconstrained	ADJ
ejpam-4364	4	23	optimization	optimization	NOUN
ejpam-4364	4	24	problems	problem	NOUN
ejpam-4364	4	25	.	.	PUNCT
ejpam-4364	5	1	one	one	NUM
ejpam-4364	5	2	of	of	ADP
ejpam-4364	5	3	the	the	DET
ejpam-4364	5	4	most	most	ADV
ejpam-4364	5	5	essential	essential	ADJ
ejpam-4364	5	6	features	feature	NOUN
ejpam-4364	5	7	of	of	ADP
ejpam-4364	5	8	our	our	PRON
ejpam-4364	5	9	suggested	suggest	VERB
ejpam-4364	5	10	strategy	strategy	NOUN
ejpam-4364	5	11	is	be	AUX
ejpam-4364	5	12	to	to	PART
ejpam-4364	5	13	guarantee	guarantee	VERB
ejpam-4364	5	14	the	the	DET
ejpam-4364	5	15	suitable	suitable	ADJ
ejpam-4364	5	16	subsidence	subsidence	NOUN
ejpam-4364	5	17	direction	direction	NOUN
ejpam-4364	5	18	of	of	ADP
ejpam-4364	5	19	the	the	DET
ejpam-4364	5	20	line	line	NOUN
ejpam-4364	5	21	search	search	NOUN
ejpam-4364	5	22	precision	precision	NOUN
ejpam-4364	5	23	.	.	PUNCT
ejpam-4364	6	1	furthermore	furthermore	ADV
ejpam-4364	6	2	,	,	PUNCT
ejpam-4364	6	3	the	the	DET
ejpam-4364	6	4	proposed	propose	VERB
ejpam-4364	6	5	strategy	strategy	NOUN
ejpam-4364	6	6	is	be	AUX
ejpam-4364	6	7	more	more	ADV
ejpam-4364	6	8	effective	effective	ADJ
ejpam-4364	6	9	than	than	ADP
ejpam-4364	6	10	previous	previous	ADJ
ejpam-4364	6	11	conjugate	conjugate	ADJ
ejpam-4364	6	12	gradient	gradient	NOUN
ejpam-4364	6	13	approaches	approach	NOUN
ejpam-4364	6	14	and	and	CCONJ
ejpam-4364	6	15	stationery	stationery	NOUN
ejpam-4364	6	16	,	,	PUNCT
ejpam-4364	6	17	which	which	PRON
ejpam-4364	6	18	have	have	AUX
ejpam-4364	6	19	been	be	AUX
ejpam-4364	6	20	observed	observe	VERB
ejpam-4364	6	21	in	in	ADP
ejpam-4364	6	22	the	the	DET
ejpam-4364	6	23	test	test	NOUN
ejpam-4364	6	24	problem	problem	NOUN
ejpam-4364	6	25	.	.	PUNCT
ejpam-4364	7	1	however	however	ADV
ejpam-4364	7	2	,	,	PUNCT
ejpam-4364	7	3	when	when	SCONJ
ejpam-4364	7	4	it	it	PRON
ejpam-4364	7	5	is	be	AUX
ejpam-4364	7	6	compared	compare	VERB
ejpam-4364	7	7	to	to	ADP
ejpam-4364	7	8	other	other	ADJ
ejpam-4364	7	9	conjugate	conjugate	ADJ
ejpam-4364	7	10	gradient	gradient	NOUN
ejpam-4364	7	11	methods	method	NOUN
ejpam-4364	7	12	,	,	PUNCT
ejpam-4364	7	13	such	such	ADJ
ejpam-4364	7	14	as	as	ADP
ejpam-4364	7	15	fr	fr	PROPN
ejpam-4364	7	16	methods	method	NOUN
ejpam-4364	7	17	,	,	PUNCT
ejpam-4364	7	18	the	the	DET
ejpam-4364	7	19	proposed	propose	VERB
ejpam-4364	7	20	method	method	NOUN
ejpam-4364	7	21	confirmed	confirm	VERB
ejpam-4364	7	22	the	the	DET
ejpam-4364	7	23	globally	globally	ADV
ejpam-4364	7	24	convergent	convergent	NOUN
ejpam-4364	7	25	,	,	PUNCT
ejpam-4364	7	26	indicating	indicate	VERB
ejpam-4364	7	27	that	that	SCONJ
ejpam-4364	7	28	it	it	PRON
ejpam-4364	7	29	can	can	AUX
ejpam-4364	7	30	be	be	AUX
ejpam-4364	7	31	used	use	VERB
ejpam-4364	7	32	in	in	ADP
ejpam-4364	7	33	scientific	scientific	ADJ
ejpam-4364	7	34	data	datum	NOUN
ejpam-4364	7	35	computation	computation	NOUN
ejpam-4364	7	36	.	.	PUNCT
ejpam-4364	8	1	2020	2020	NUM
ejpam-4364	8	2	mathematics	mathematic	NOUN
ejpam-4364	8	3	subject	subject	NOUN
ejpam-4364	8	4	classifications	classification	NOUN
ejpam-4364	8	5	:	:	PUNCT
ejpam-4364	8	6	65k10	65k10	NUM
ejpam-4364	8	7	key	key	ADJ
ejpam-4364	8	8	words	word	NOUN
ejpam-4364	8	9	and	and	CCONJ
ejpam-4364	8	10	phrases	phrase	NOUN
ejpam-4364	8	11	:	:	PUNCT
ejpam-4364	8	12	conjugate	conjugate	ADJ
ejpam-4364	8	13	gradient	gradient	NOUN
ejpam-4364	8	14	,	,	PUNCT
ejpam-4364	8	15	spectral	spectral	ADJ
ejpam-4364	8	16	,	,	PUNCT
ejpam-4364	8	17	unconstrained	unconstrained	ADJ
ejpam-4364	8	18	optimization	optimization	NOUN
ejpam-4364	8	19	,	,	PUNCT
ejpam-4364	8	20	global	global	ADJ
ejpam-4364	8	21	convergence	convergence	NOUN
ejpam-4364	8	22	,	,	PUNCT
ejpam-4364	8	23	descent	descent	NOUN
ejpam-4364	8	24	property	property	NOUN
ejpam-4364	8	25	1	1	NUM
ejpam-4364	8	26	.	.	PUNCT
ejpam-4364	8	27	introduction	introduction	NOUN
ejpam-4364	8	28	the	the	DET
ejpam-4364	8	29	spectral	spectral	ADJ
ejpam-4364	8	30	gradient	gradient	NOUN
ejpam-4364	8	31	approaches	approach	NOUN
ejpam-4364	8	32	presented	present	VERB
ejpam-4364	8	33	by	by	ADP
ejpam-4364	8	34	barzilai	barzilai	NOUN
ejpam-4364	8	35	and	and	CCONJ
ejpam-4364	8	36	browein	browein	NOUN
ejpam-4364	9	1	[	[	X
ejpam-4364	9	2	5	5	NUM
ejpam-4364	9	3	]	]	PUNCT
ejpam-4364	9	4	and	and	CCONJ
ejpam-4364	9	5	later	later	ADV
ejpam-4364	9	6	researched	research	VERB
ejpam-4364	9	7	by	by	ADP
ejpam-4364	9	8	raydan	raydan	NOUN
ejpam-4364	10	1	[	[	X
ejpam-4364	10	2	23	23	NUM
ejpam-4364	10	3	]	]	PUNCT
ejpam-4364	10	4	have	have	AUX
ejpam-4364	10	5	proven	prove	VERB
ejpam-4364	10	6	to	to	PART
ejpam-4364	10	7	be	be	AUX
ejpam-4364	10	8	useful	useful	ADJ
ejpam-4364	10	9	and	and	CCONJ
ejpam-4364	10	10	valuable	valuable	ADJ
ejpam-4364	10	11	in	in	ADP
ejpam-4364	10	12	this	this	DET
ejpam-4364	10	13	area	area	NOUN
ejpam-4364	10	14	,	,	PUNCT
ejpam-4364	10	15	which	which	PRON
ejpam-4364	10	16	are	be	AUX
ejpam-4364	10	17	utilized	utilize	VERB
ejpam-4364	10	18	to	to	PART
ejpam-4364	10	19	determine	determine	VERB
ejpam-4364	10	20	the	the	DET
ejpam-4364	10	21	local	local	ADJ
ejpam-4364	10	22	minimizers	minimizer	NOUN
ejpam-4364	10	23	of	of	ADP
ejpam-4364	10	24	large	large	ADJ
ejpam-4364	10	25	-	-	PUNCT
ejpam-4364	10	26	scale	scale	NOUN
ejpam-4364	10	27	problems	problem	NOUN
ejpam-4364	10	28	[	[	X
ejpam-4364	10	29	2	2	NUM
ejpam-4364	10	30	]	]	PUNCT
ejpam-4364	10	31	.	.	PUNCT
ejpam-4364	11	1	in	in	ADP
ejpam-4364	11	2	this	this	DET
ejpam-4364	11	3	paper	paper	NOUN
ejpam-4364	11	4	,	,	PUNCT
ejpam-4364	11	5	we	we	PRON
ejpam-4364	11	6	describe	describe	VERB
ejpam-4364	11	7	a	a	DET
ejpam-4364	11	8	spectral	spectral	ADJ
ejpam-4364	11	9	gradient	gradient	NOUN
ejpam-4364	11	10	technique	technique	NOUN
ejpam-4364	11	11	to	to	PART
ejpam-4364	11	12	solve	solve	VERB
ejpam-4364	11	13	unconstrained	unconstrained	ADJ
ejpam-4364	11	14	optimization	optimization	NOUN
ejpam-4364	11	15	problems	problem	NOUN
ejpam-4364	11	16	of	of	ADP
ejpam-4364	11	17	the	the	DET
ejpam-4364	11	18	form	form	NOUN
ejpam-4364	11	19	:	:	PUNCT
ejpam-4364	11	20	min	min	PROPN
ejpam-4364	11	21	x∈r	x∈r	PROPN
ejpam-4364	11	22	f(x	f(x	PROPN
ejpam-4364	11	23	)	)	PUNCT
ejpam-4364	11	24	(	(	PUNCT
ejpam-4364	11	25	1	1	X
ejpam-4364	11	26	)	)	PUNCT
ejpam-4364	11	27	in	in	ADP
ejpam-4364	11	28	most	most	ADJ
ejpam-4364	11	29	cases	case	NOUN
ejpam-4364	11	30	,	,	PUNCT
ejpam-4364	11	31	the	the	DET
ejpam-4364	11	32	conjugate	conjugate	ADJ
ejpam-4364	11	33	gradient	gradient	NOUN
ejpam-4364	11	34	approach	approach	NOUN
ejpam-4364	11	35	creates	create	VERB
ejpam-4364	11	36	a	a	DET
ejpam-4364	11	37	sequence	sequence	NOUN
ejpam-4364	11	38	{	{	PUNCT
ejpam-4364	11	39	xk	xk	NOUN
ejpam-4364	11	40	}	}	PUNCT
ejpam-4364	11	41	in	in	ADP
ejpam-4364	11	42	such	such	DET
ejpam-4364	11	43	a	a	DET
ejpam-4364	11	44	way	way	NOUN
ejpam-4364	11	45	:	:	PUNCT
ejpam-4364	11	46	xk+1	xk+1	PROPN
ejpam-4364	12	1	=	=	SYM
ejpam-4364	12	2	xk	xk	PROPN
ejpam-4364	13	1	+	+	NUM
ejpam-4364	13	2	αkdk	αkdk	NOUN
ejpam-4364	13	3	(	(	PUNCT
ejpam-4364	13	4	2	2	NUM
ejpam-4364	13	5	)	)	PUNCT
ejpam-4364	13	6	∗corresponding	∗corresponde	VERB
ejpam-4364	13	7	author	author	NOUN
ejpam-4364	13	8	.	.	PUNCT
ejpam-4364	14	1	doi	doi	NOUN
ejpam-4364	14	2	:	:	PUNCT
ejpam-4364	14	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4364	https://doi.org/10.29020/nybg.ejpam.v15i2.4364	PROPN
ejpam-4364	14	4	email	email	NOUN
ejpam-4364	14	5	addresses	address	NOUN
ejpam-4364	14	6	:	:	PUNCT
ejpam-4364	14	7	aseel.albazaz@uomosul.edu.iq	aseel.albazaz@uomosul.edu.iq	PROPN
ejpam-4364	14	8	(	(	PUNCT
ejpam-4364	14	9	a.	a.	NOUN
ejpam-4364	14	10	m.	m.	PROPN
ejpam-4364	14	11	qasim	qasim	PROPN
ejpam-4364	14	12	)	)	PUNCT
ejpam-4364	14	13	,	,	PUNCT
ejpam-4364	14	14	zn	zn	PROPN
ejpam-4364	14	15	f2020@uomosul.edu.iq	f2020@uomosul.edu.iq	PROPN
ejpam-4364	14	16	(	(	PUNCT
ejpam-4364	14	17	z.	z.	PROPN
ejpam-4364	14	18	f.	f.	PROPN
ejpam-4364	14	19	salih	salih	PROPN
ejpam-4364	14	20	)	)	PUNCT
ejpam-4364	14	21	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4364	15	1	784	784	NUM
ejpam-4364	15	2	©	©	ADP
ejpam-4364	15	3	2022	2022	NUM
ejpam-4364	15	4	ejpam	ejpam	VERB
ejpam-4364	15	5	all	all	DET
ejpam-4364	15	6	rights	right	NOUN
ejpam-4364	15	7	reserved	reserve	VERB
ejpam-4364	15	8	.	.	PUNCT
ejpam-4364	16	1	a.	a.	PROPN
ejpam-4364	16	2	m.	m.	PROPN
ejpam-4364	16	3	qasim	qasim	PROPN
ejpam-4364	16	4	,	,	PUNCT
ejpam-4364	16	5	z.	z.	PROPN
ejpam-4364	16	6	f.	f.	PROPN
ejpam-4364	16	7	salih	salih	PROPN
ejpam-4364	16	8	/	/	SYM
ejpam-4364	16	9	eur	eur	PROPN
ejpam-4364	16	10	.	.	PUNCT
ejpam-4364	17	1	j.	j.	PROPN
ejpam-4364	17	2	pure	pure	PROPN
ejpam-4364	17	3	appl	appl	PROPN
ejpam-4364	17	4	.	.	PROPN
ejpam-4364	17	5	math	math	PROPN
ejpam-4364	17	6	,	,	PUNCT
ejpam-4364	17	7	15	15	NUM
ejpam-4364	17	8	(	(	PUNCT
ejpam-4364	17	9	2	2	NUM
ejpam-4364	17	10	)	)	PUNCT
ejpam-4364	17	11	(	(	PUNCT
ejpam-4364	17	12	2022	2022	NUM
ejpam-4364	17	13	)	)	PUNCT
ejpam-4364	17	14	,	,	PUNCT
ejpam-4364	17	15	784	784	NUM
ejpam-4364	17	16	-	-	SYM
ejpam-4364	17	17	795	795	NUM
ejpam-4364	17	18	785	785	NUM
ejpam-4364	17	19	for	for	ADP
ejpam-4364	17	20	k	k	PROPN
ejpam-4364	17	21	=	=	SYM
ejpam-4364	17	22	0	0	PROPN
ejpam-4364	17	23	,	,	PUNCT
ejpam-4364	17	24	x0	x0	PROPN
ejpam-4364	17	25	denotes	denote	VERB
ejpam-4364	17	26	the	the	DET
ejpam-4364	17	27	starting	starting	NOUN
ejpam-4364	17	28	position	position	NOUN
ejpam-4364	17	29	,	,	PUNCT
ejpam-4364	17	30	αk	αk	CCONJ
ejpam-4364	17	31	denotes	denote	VERB
ejpam-4364	17	32	the	the	DET
ejpam-4364	17	33	specified	specified	ADJ
ejpam-4364	17	34	step	step	NOUN
ejpam-4364	17	35	size	size	NOUN
ejpam-4364	17	36	by	by	ADP
ejpam-4364	17	37	a	a	DET
ejpam-4364	17	38	line	line	NOUN
ejpam-4364	17	39	search	search	NOUN
ejpam-4364	17	40	,	,	PUNCT
ejpam-4364	17	41	dk	dk	PROPN
ejpam-4364	17	42	signifies	signify	VERB
ejpam-4364	17	43	the	the	DET
ejpam-4364	17	44	direction	direction	NOUN
ejpam-4364	17	45	of	of	ADP
ejpam-4364	17	46	search	search	NOUN
ejpam-4364	17	47	,	,	PUNCT
ejpam-4364	17	48	which	which	PRON
ejpam-4364	17	49	is	be	AUX
ejpam-4364	17	50	specified	specify	VERB
ejpam-4364	17	51	by	by	ADP
ejpam-4364	17	52	:	:	PUNCT
ejpam-4364	17	53	dk+1	dk+1	X
ejpam-4364	17	54	=	=	SYM
ejpam-4364	17	55	−gk+1	−gk+1	PROPN
ejpam-4364	17	56	+	+	CCONJ
ejpam-4364	17	57	βkdk	βkdk	NOUN
ejpam-4364	17	58	(	(	PUNCT
ejpam-4364	17	59	3	3	NUM
ejpam-4364	17	60	)	)	PUNCT
ejpam-4364	17	61	where	where	SCONJ
ejpam-4364	17	62	d0	d0	NOUN
ejpam-4364	17	63	=	=	SYM
ejpam-4364	17	64	−g0	−g0	PROPN
ejpam-4364	17	65	for	for	ADP
ejpam-4364	17	66	k	k	PROPN
ejpam-4364	17	67	=	=	SYM
ejpam-4364	17	68	0	0	PROPN
ejpam-4364	17	69	and	and	CCONJ
ejpam-4364	17	70	βk	βk	NOUN
ejpam-4364	17	71	is	be	AUX
ejpam-4364	17	72	a	a	DET
ejpam-4364	17	73	scalar	scalar	ADJ
ejpam-4364	17	74	,	,	PUNCT
ejpam-4364	17	75	gk+1	gk+1	NOUN
ejpam-4364	17	76	refers	refer	VERB
ejpam-4364	17	77	to	to	ADP
ejpam-4364	17	78	the	the	DET
ejpam-4364	17	79	gradient	gradient	NOUN
ejpam-4364	17	80	∇f(xk+1	∇f(xk+1	ADP
ejpam-4364	17	81	)	)	PUNCT
ejpam-4364	17	82	at	at	ADP
ejpam-4364	17	83	the	the	DET
ejpam-4364	17	84	new	new	ADJ
ejpam-4364	17	85	point	point	NOUN
ejpam-4364	17	86	.	.	PUNCT
ejpam-4364	18	1	the	the	DET
ejpam-4364	18	2	most	most	ADV
ejpam-4364	18	3	familiar	familiar	ADJ
ejpam-4364	18	4	βk	βk	ADP
ejpam-4364	18	5	formulation	formulation	NOUN
ejpam-4364	18	6	is	be	AUX
ejpam-4364	18	7	the	the	DET
ejpam-4364	18	8	fletcher	fletcher	PROPN
ejpam-4364	18	9	-	-	PUNCT
ejpam-4364	18	10	reeves	reeves	PROPN
ejpam-4364	18	11	(	(	PUNCT
ejpam-4364	18	12	fr	fr	PROPN
ejpam-4364	18	13	)	)	PUNCT
ejpam-4364	18	14	,	,	PUNCT
ejpam-4364	18	15	polakribire	polakribire	NOUN
ejpam-4364	18	16	,	,	PUNCT
ejpam-4364	18	17	hestenes	hestene	NOUN
ejpam-4364	18	18	-	-	PUNCT
ejpam-4364	18	19	stiefel	stiefel	NOUN
ejpam-4364	18	20	(	(	PUNCT
ejpam-4364	18	21	hs	hs	X
ejpam-4364	18	22	)	)	PUNCT
ejpam-4364	18	23	,	,	PUNCT
ejpam-4364	18	24	dai	dai	PROPN
ejpam-4364	18	25	and	and	CCONJ
ejpam-4364	18	26	yan	yan	PROPN
ejpam-4364	18	27	(	(	PUNCT
ejpam-4364	18	28	dy	dy	NOUN
ejpam-4364	18	29	)	)	PUNCT
ejpam-4364	18	30	formulations	formulation	NOUN
ejpam-4364	18	31	which	which	PRON
ejpam-4364	18	32	are	be	AUX
ejpam-4364	18	33	supplied	supply	VERB
ejpam-4364	18	34	by	by	ADP
ejpam-4364	18	35	:	:	PUNCT
ejpam-4364	18	36	see	see	VERB
ejpam-4364	18	37	[	[	X
ejpam-4364	18	38	12][20][21][17][6	12][20][21][17][6	NUM
ejpam-4364	18	39	]	]	X
ejpam-4364	18	40	βfr	βfr	PROPN
ejpam-4364	18	41	k	k	NOUN
ejpam-4364	18	42	=	=	SYM
ejpam-4364	18	43	gtk+1gk+1	gtk+1gk+1	NOUN
ejpam-4364	18	44	gtk	gtk	NOUN
ejpam-4364	18	45	gk	gk	PROPN
ejpam-4364	18	46	(	(	PUNCT
ejpam-4364	18	47	4	4	NUM
ejpam-4364	18	48	)	)	PUNCT
ejpam-4364	18	49	βprp	βprp	NOUN
ejpam-4364	18	50	k	k	NOUN
ejpam-4364	19	1	=	=	PUNCT
ejpam-4364	19	2	gtk+1yk	gtk+1yk	PROPN
ejpam-4364	19	3	||gk||2	||gk||2	PROPN
ejpam-4364	19	4	(	(	PUNCT
ejpam-4364	19	5	5	5	NUM
ejpam-4364	19	6	)	)	PUNCT
ejpam-4364	19	7	βhs	βhs	NOUN
ejpam-4364	19	8	k	k	PROPN
ejpam-4364	19	9	=	=	PUNCT
ejpam-4364	19	10	gtk+1	gtk+1	VERB
ejpam-4364	19	11	gk+1	gk+1	NUM
ejpam-4364	19	12	dtk	dtk	PROPN
ejpam-4364	19	13	yk	yk	PROPN
ejpam-4364	19	14	(	(	PUNCT
ejpam-4364	19	15	6	6	NUM
ejpam-4364	19	16	)	)	PUNCT
ejpam-4364	19	17	βdy	βdy	NOUN
ejpam-4364	19	18	k	k	NOUN
ejpam-4364	20	1	=	=	PRON
ejpam-4364	20	2	gtk+1gk+1	gtk+1gk+1	VERB
ejpam-4364	20	3	ytk	ytk	NOUN
ejpam-4364	20	4	dk	dk	PROPN
ejpam-4364	20	5	(	(	PUNCT
ejpam-4364	20	6	7	7	NUM
ejpam-4364	20	7	)	)	PUNCT
ejpam-4364	20	8	also	also	ADV
ejpam-4364	20	9	,	,	PUNCT
ejpam-4364	20	10	recently	recently	ADV
ejpam-4364	20	11	,	,	PUNCT
ejpam-4364	20	12	hassan	hassan	PROPN
ejpam-4364	20	13	[	[	X
ejpam-4364	20	14	13	13	NUM
ejpam-4364	20	15	]	]	PUNCT
ejpam-4364	20	16	suggests	suggest	VERB
ejpam-4364	20	17	a	a	DET
ejpam-4364	20	18	new	new	ADJ
ejpam-4364	20	19	formula	formula	NOUN
ejpam-4364	20	20	which	which	PRON
ejpam-4364	20	21	is	be	AUX
ejpam-4364	20	22	denoted	denote	VERB
ejpam-4364	20	23	in	in	ADP
ejpam-4364	20	24	equations	equation	NOUN
ejpam-4364	20	25	(	(	PUNCT
ejpam-4364	20	26	8)	8)	NUM
ejpam-4364	20	27	,	,	PUNCT
ejpam-4364	20	28	(	(	PUNCT
ejpam-4364	20	29	9	9	NUM
ejpam-4364	20	30	)	)	PUNCT
ejpam-4364	20	31	respectively	respectively	ADV
ejpam-4364	20	32	.	.	PUNCT
ejpam-4364	21	1	βy	βy	X
ejpam-4364	22	1	k	k	NOUN
ejpam-4364	22	2	=	=	PUNCT
ejpam-4364	22	3	gtk+1yk	gtk+1yk	PROPN
ejpam-4364	22	4	(	(	PUNCT
ejpam-4364	22	5	fk	fk	INTJ
ejpam-4364	22	6	−	−	PROPN
ejpam-4364	22	7	fk+1)/αk−g	fk+1)/αk−g	PROPN
ejpam-4364	23	1	t	t	PROPN
ejpam-4364	23	2	k	k	PROPN
ejpam-4364	23	3	dk/2	dk/2	PROPN
ejpam-4364	23	4	(	(	PUNCT
ejpam-4364	23	5	8)	8)	NUM
ejpam-4364	23	6	βg	βg	NOUN
ejpam-4364	23	7	k	k	NOUN
ejpam-4364	23	8	=	=	PRON
ejpam-4364	23	9	gtk+1gk+1	gtk+1gk+1	X
ejpam-4364	23	10	(	(	PUNCT
ejpam-4364	23	11	fk	fk	INTJ
ejpam-4364	23	12	−	−	PROPN
ejpam-4364	23	13	fk+1)/αk−g	fk+1)/αk−g	PROPN
ejpam-4364	24	1	t	t	PROPN
ejpam-4364	24	2	k	k	PROPN
ejpam-4364	24	3	dk/2	dk/2	PROPN
ejpam-4364	24	4	(	(	PUNCT
ejpam-4364	24	5	9	9	NUM
ejpam-4364	24	6	)	)	PUNCT
ejpam-4364	24	7	where	where	SCONJ
ejpam-4364	24	8	the	the	DET
ejpam-4364	24	9	last	last	ADJ
ejpam-4364	24	10	two	two	NUM
ejpam-4364	24	11	equations	equation	NOUN
ejpam-4364	24	12	of	of	ADP
ejpam-4364	24	13	βk	βk	NOUN
ejpam-4364	24	14	are	be	AUX
ejpam-4364	24	15	used	use	VERB
ejpam-4364	24	16	to	to	PART
ejpam-4364	24	17	suggest	suggest	VERB
ejpam-4364	24	18	a	a	DET
ejpam-4364	24	19	new	new	ADJ
ejpam-4364	24	20	form	form	NOUN
ejpam-4364	24	21	of	of	ADP
ejpam-4364	24	22	βk	βk	NOUN
ejpam-4364	24	23	,	,	PUNCT
ejpam-4364	24	24	which	which	PRON
ejpam-4364	24	25	we	we	PRON
ejpam-4364	24	26	call	call	VERB
ejpam-4364	24	27	βnn	βnn	NOUN
ejpam-4364	24	28	k	k	X
ejpam-4364	24	29	.	.	PUNCT
ejpam-4364	25	1	the	the	DET
ejpam-4364	25	2	other	other	ADJ
ejpam-4364	25	3	βk	βk	PRON
ejpam-4364	25	4	parameters	parameter	NOUN
ejpam-4364	25	5	have	have	AUX
ejpam-4364	25	6	been	be	AUX
ejpam-4364	25	7	offered	offer	VERB
ejpam-4364	25	8	in	in	ADP
ejpam-4364	25	9	the	the	DET
ejpam-4364	25	10	literature	literature	NOUN
ejpam-4364	25	11	see	see	VERB
ejpam-4364	25	12	for	for	ADP
ejpam-4364	25	13	example	example	NOUN
ejpam-4364	26	1	[	[	X
ejpam-4364	26	2	1][3][4][10][11	1][3][4][10][11	NUM
ejpam-4364	26	3	]	]	PUNCT
ejpam-4364	26	4	.	.	PUNCT
ejpam-4364	27	1	to	to	PART
ejpam-4364	27	2	avoid	avoid	VERB
ejpam-4364	27	3	the	the	DET
ejpam-4364	27	4	non	non	ADJ
ejpam-4364	27	5	-	-	NOUN
ejpam-4364	27	6	convergence	convergence	NOUN
ejpam-4364	27	7	in	in	ADP
ejpam-4364	27	8	the	the	DET
ejpam-4364	27	9	nonlinear	nonlinear	ADJ
ejpam-4364	27	10	function	function	NOUN
ejpam-4364	27	11	which	which	PRON
ejpam-4364	27	12	is	be	AUX
ejpam-4364	27	13	used	use	VERB
ejpam-4364	27	14	with	with	ADP
ejpam-4364	27	15	inexact	inexact	ADJ
ejpam-4364	27	16	line	line	NOUN
ejpam-4364	27	17	search	search	NOUN
ejpam-4364	27	18	the	the	DET
ejpam-4364	27	19	following	follow	VERB
ejpam-4364	27	20	condition	condition	NOUN
ejpam-4364	27	21	is	be	AUX
ejpam-4364	27	22	used:∣∣gtk+1gk	used:∣∣gtk+1gk	ADJ
ejpam-4364	27	23	∣∣	∣∣	PUNCT
ejpam-4364	27	24	>	>	X
ejpam-4364	27	25	0.2||gk+1||	0.2||gk+1||	PROPN
ejpam-4364	27	26	(	(	PUNCT
ejpam-4364	27	27	10	10	NUM
ejpam-4364	27	28	)	)	PUNCT
ejpam-4364	27	29	known	know	VERB
ejpam-4364	27	30	as	as	ADP
ejpam-4364	27	31	the	the	DET
ejpam-4364	27	32	powell	powell	PROPN
ejpam-4364	27	33	restart	restart	NOUN
ejpam-4364	27	34	condition	condition	NOUN
ejpam-4364	27	35	[	[	X
ejpam-4364	27	36	7	7	NUM
ejpam-4364	27	37	]	]	PUNCT
ejpam-4364	27	38	.	.	PUNCT
ejpam-4364	28	1	also	also	ADV
ejpam-4364	28	2	,	,	PUNCT
ejpam-4364	28	3	to	to	PART
ejpam-4364	28	4	avoid	avoid	VERB
ejpam-4364	28	5	the	the	DET
ejpam-4364	28	6	negative	negative	ADJ
ejpam-4364	28	7	case	case	NOUN
ejpam-4364	28	8	of	of	ADP
ejpam-4364	28	9	βk	βk	NOUN
ejpam-4364	28	10	we	we	PRON
ejpam-4364	28	11	use	use	VERB
ejpam-4364	28	12	wolfe	wolfe	PROPN
ejpam-4364	28	13	conditions	condition	NOUN
ejpam-4364	28	14	to	to	PART
ejpam-4364	28	15	guarantee	guarantee	VERB
ejpam-4364	28	16	the	the	DET
ejpam-4364	28	17	convergence	convergence	NOUN
ejpam-4364	28	18	of	of	ADP
ejpam-4364	28	19	non	non	ADJ
ejpam-4364	28	20	-	-	ADJ
ejpam-4364	28	21	linear	linear	ADJ
ejpam-4364	28	22	conjugate	conjugate	ADJ
ejpam-4364	28	23	methods	method	NOUN
ejpam-4364	28	24	for	for	ADP
ejpam-4364	28	25	the	the	DET
ejpam-4364	28	26	research	research	NOUN
ejpam-4364	28	27	[	[	X
ejpam-4364	28	28	24	24	NUM
ejpam-4364	28	29	]	]	PUNCT
ejpam-4364	28	30	.	.	PUNCT
ejpam-4364	29	1	more	more	ADJ
ejpam-4364	29	2	information	information	NOUN
ejpam-4364	29	3	on	on	ADP
ejpam-4364	29	4	these	these	DET
ejpam-4364	29	5	line	line	NOUN
ejpam-4364	29	6	search	search	NOUN
ejpam-4364	29	7	methods	method	NOUN
ejpam-4364	29	8	can	can	AUX
ejpam-4364	29	9	be	be	AUX
ejpam-4364	29	10	found	find	VERB
ejpam-4364	29	11	in	in	ADP
ejpam-4364	29	12	the	the	DET
ejpam-4364	29	13	literature	literature	NOUN
ejpam-4364	29	14	[	[	X
ejpam-4364	29	15	8][19][26][27	8][19][26][27	X
ejpam-4364	29	16	]	]	X
ejpam-4364	29	17	f(xk	f(xk	PROPN
ejpam-4364	29	18	+	+	NUM
ejpam-4364	29	19	αkdk	αkdk	NOUN
ejpam-4364	29	20	)	)	PUNCT
ejpam-4364	29	21	≤	≤	NUM
ejpam-4364	29	22	f(xk	f(xk	PROPN
ejpam-4364	29	23	)	)	PUNCT
ejpam-4364	29	24	+	+	NUM
ejpam-4364	29	25	δ1αkd	δ1αkd	ADP
ejpam-4364	29	26	t	t	NOUN
ejpam-4364	29	27	k	k	PROPN
ejpam-4364	29	28	gk	gk	PROPN
ejpam-4364	29	29	(	(	PUNCT
ejpam-4364	29	30	11	11	NUM
ejpam-4364	29	31	)	)	PUNCT
ejpam-4364	29	32	g(xk	g(xk	PROPN
ejpam-4364	29	33	+	+	CCONJ
ejpam-4364	29	34	αkdk	αkdk	NOUN
ejpam-4364	29	35	)	)	PUNCT
ejpam-4364	29	36	tdk	tdk	NOUN
ejpam-4364	29	37	≥	≥	PROPN
ejpam-4364	29	38	δ2αkd	δ2αkd	PROPN
ejpam-4364	29	39	t	t	PROPN
ejpam-4364	29	40	k	k	PROPN
ejpam-4364	29	41	gk	gk	PROPN
ejpam-4364	29	42	(	(	PUNCT
ejpam-4364	29	43	12	12	NUM
ejpam-4364	29	44	)	)	PUNCT
ejpam-4364	29	45	a.	a.	NOUN
ejpam-4364	29	46	m.	m.	NOUN
ejpam-4364	29	47	qasim	qasim	PROPN
ejpam-4364	29	48	,	,	PUNCT
ejpam-4364	29	49	z.	z.	PROPN
ejpam-4364	29	50	f.	f.	PROPN
ejpam-4364	29	51	salih	salih	PROPN
ejpam-4364	29	52	/	/	SYM
ejpam-4364	29	53	eur	eur	PROPN
ejpam-4364	29	54	.	.	PUNCT
ejpam-4364	30	1	j.	j.	PROPN
ejpam-4364	30	2	pure	pure	PROPN
ejpam-4364	30	3	appl	appl	PROPN
ejpam-4364	30	4	.	.	PROPN
ejpam-4364	30	5	math	math	PROPN
ejpam-4364	30	6	,	,	PUNCT
ejpam-4364	30	7	15	15	NUM
ejpam-4364	30	8	(	(	PUNCT
ejpam-4364	30	9	2	2	NUM
ejpam-4364	30	10	)	)	PUNCT
ejpam-4364	30	11	(	(	PUNCT
ejpam-4364	30	12	2022	2022	NUM
ejpam-4364	30	13	)	)	PUNCT
ejpam-4364	30	14	,	,	PUNCT
ejpam-4364	30	15	784	784	NUM
ejpam-4364	30	16	-	-	SYM
ejpam-4364	30	17	795	795	NUM
ejpam-4364	30	18	786	786	NUM
ejpam-4364	30	19	where	where	SCONJ
ejpam-4364	30	20	dk	dk	PROPN
ejpam-4364	30	21	is	be	AUX
ejpam-4364	30	22	descant	descant	ADJ
ejpam-4364	30	23	direction	direction	NOUN
ejpam-4364	30	24	,	,	PUNCT
ejpam-4364	30	25	gtk	gtk	NOUN
ejpam-4364	30	26	dk	dk	PROPN
ejpam-4364	30	27	<	<	X
ejpam-4364	30	28	0	0	NUM
ejpam-4364	30	29	,	,	PUNCT
ejpam-4364	30	30	and	and	CCONJ
ejpam-4364	30	31	0	0	NUM
ejpam-4364	30	32	<	<	X
ejpam-4364	30	33	δ1	δ1	NOUN
ejpam-4364	30	34	<	<	X
ejpam-4364	30	35	δ2	δ2	X
ejpam-4364	30	36	<	<	X
ejpam-4364	30	37	1	1	NUM
ejpam-4364	30	38	.	.	X
ejpam-4364	30	39	dai	dai	PROPN
ejpam-4364	30	40	and	and	CCONJ
ejpam-4364	30	41	yuan	yuan	PROPN
ejpam-4364	31	1	[	[	X
ejpam-4364	31	2	6	6	NUM
ejpam-4364	31	3	]	]	PUNCT
ejpam-4364	31	4	show	show	VERB
ejpam-4364	31	5	that	that	SCONJ
ejpam-4364	31	6	the	the	DET
ejpam-4364	31	7	fr	fr	PROPN
ejpam-4364	31	8	method	method	NOUN
ejpam-4364	31	9	satisfies	satisfy	VERB
ejpam-4364	31	10	the	the	DET
ejpam-4364	31	11	global	global	ADJ
ejpam-4364	31	12	convergence	convergence	NOUN
ejpam-4364	31	13	feature	feature	NOUN
ejpam-4364	31	14	if	if	SCONJ
ejpam-4364	31	15	the	the	DET
ejpam-4364	31	16	strong	strong	ADJ
ejpam-4364	31	17	wolfe	wolfe	PROPN
ejpam-4364	31	18	conditions	condition	NOUN
ejpam-4364	31	19	are	be	AUX
ejpam-4364	31	20	satisfied	satisfied	ADJ
ejpam-4364	31	21	.	.	PUNCT
ejpam-4364	32	1	recently	recently	ADV
ejpam-4364	32	2	,	,	PUNCT
ejpam-4364	32	3	combining	combine	VERB
ejpam-4364	32	4	the	the	DET
ejpam-4364	32	5	well	well	ADV
ejpam-4364	32	6	numerical	numerical	ADJ
ejpam-4364	32	7	results	result	NOUN
ejpam-4364	32	8	execution	execution	NOUN
ejpam-4364	32	9	of	of	ADP
ejpam-4364	32	10	prp	prp	PROPN
ejpam-4364	32	11	and	and	CCONJ
ejpam-4364	32	12	hs	hs	X
ejpam-4364	32	13	with	with	ADP
ejpam-4364	32	14	the	the	DET
ejpam-4364	32	15	globally	globally	ADV
ejpam-4364	32	16	convergent	convergent	ADJ
ejpam-4364	32	17	properties	property	NOUN
ejpam-4364	32	18	of	of	ADP
ejpam-4364	32	19	the	the	DET
ejpam-4364	32	20	fr	fr	NOUN
ejpam-4364	32	21	and	and	CCONJ
ejpam-4364	32	22	dy	dy	NOUN
ejpam-4364	32	23	methods	method	NOUN
ejpam-4364	32	24	[	[	X
ejpam-4364	32	25	6	6	NUM
ejpam-4364	32	26	]	]	PUNCT
ejpam-4364	32	27	,	,	PUNCT
ejpam-4364	32	28	are	be	AUX
ejpam-4364	32	29	the	the	DET
ejpam-4364	32	30	way	way	NOUN
ejpam-4364	32	31	that	that	PRON
ejpam-4364	32	32	is	be	AUX
ejpam-4364	32	33	adopted	adopt	VERB
ejpam-4364	32	34	in	in	ADP
ejpam-4364	32	35	this	this	DET
ejpam-4364	32	36	paper	paper	NOUN
ejpam-4364	32	37	,	,	PUNCT
ejpam-4364	32	38	which	which	PRON
ejpam-4364	32	39	will	will	AUX
ejpam-4364	32	40	be	be	AUX
ejpam-4364	32	41	discussed	discuss	VERB
ejpam-4364	32	42	in	in	ADP
ejpam-4364	32	43	the	the	DET
ejpam-4364	32	44	second	second	ADJ
ejpam-4364	32	45	section	section	NOUN
ejpam-4364	32	46	.	.	PUNCT
ejpam-4364	33	1	the	the	DET
ejpam-4364	33	2	systematic	systematic	ADJ
ejpam-4364	33	3	sequence	sequence	NOUN
ejpam-4364	33	4	of	of	ADP
ejpam-4364	33	5	this	this	DET
ejpam-4364	33	6	paper	paper	NOUN
ejpam-4364	33	7	is	be	AUX
ejpam-4364	33	8	:	:	PUNCT
ejpam-4364	33	9	the	the	DET
ejpam-4364	33	10	second	second	ADJ
ejpam-4364	33	11	section	section	NOUN
ejpam-4364	33	12	proposes	propose	VERB
ejpam-4364	33	13	a	a	DET
ejpam-4364	33	14	new	new	ADJ
ejpam-4364	33	15	spectral	spectral	ADJ
ejpam-4364	33	16	cg	cg	NOUN
ejpam-4364	33	17	formula	formula	NOUN
ejpam-4364	33	18	and	and	CCONJ
ejpam-4364	33	19	the	the	DET
ejpam-4364	33	20	section	section	NOUN
ejpam-4364	33	21	three	three	NUM
ejpam-4364	33	22	establishes	establish	VERB
ejpam-4364	33	23	the	the	DET
ejpam-4364	33	24	new	new	ADJ
ejpam-4364	33	25	method	method	NOUN
ejpam-4364	33	26	’s	’s	PART
ejpam-4364	33	27	global	global	ADJ
ejpam-4364	33	28	convergence	convergence	NOUN
ejpam-4364	33	29	.	.	PUNCT
ejpam-4364	34	1	the	the	DET
ejpam-4364	34	2	numerical	numerical	ADJ
ejpam-4364	34	3	experiments	experiment	NOUN
ejpam-4364	34	4	are	be	AUX
ejpam-4364	34	5	shown	show	VERB
ejpam-4364	34	6	in	in	ADP
ejpam-4364	34	7	the	the	DET
ejpam-4364	34	8	fourth	fourth	ADJ
ejpam-4364	34	9	section	section	NOUN
ejpam-4364	34	10	,	,	PUNCT
ejpam-4364	34	11	and	and	CCONJ
ejpam-4364	34	12	finally	finally	ADV
ejpam-4364	34	13	,	,	PUNCT
ejpam-4364	34	14	the	the	DET
ejpam-4364	34	15	fifth	fifth	ADJ
ejpam-4364	34	16	section	section	NOUN
ejpam-4364	34	17	presents	present	VERB
ejpam-4364	34	18	the	the	DET
ejpam-4364	34	19	comparison	comparison	NOUN
ejpam-4364	34	20	of	of	ADP
ejpam-4364	34	21	the	the	DET
ejpam-4364	34	22	results	result	NOUN
ejpam-4364	34	23	and	and	CCONJ
ejpam-4364	34	24	conclusion	conclusion	NOUN
ejpam-4364	34	25	.	.	PUNCT
ejpam-4364	35	1	2	2	X
ejpam-4364	35	2	.	.	X
ejpam-4364	35	3	new	new	ADJ
ejpam-4364	35	4	spectral	spectral	ADJ
ejpam-4364	35	5	formula	formula	NOUN
ejpam-4364	35	6	for	for	ADP
ejpam-4364	35	7	cg	cg	NOUN
ejpam-4364	35	8	method	method	NOUN
ejpam-4364	35	9	the	the	DET
ejpam-4364	35	10	new	new	ADJ
ejpam-4364	35	11	concept	concept	NOUN
ejpam-4364	35	12	is	be	AUX
ejpam-4364	35	13	to	to	PART
ejpam-4364	35	14	redirect	redirect	VERB
ejpam-4364	35	15	the	the	DET
ejpam-4364	35	16	search	search	NOUN
ejpam-4364	35	17	path	path	NOUN
ejpam-4364	35	18	so	so	SCONJ
ejpam-4364	35	19	that	that	SCONJ
ejpam-4364	35	20	the	the	DET
ejpam-4364	35	21	new	new	ADJ
ejpam-4364	35	22	path	path	NOUN
ejpam-4364	35	23	guarantees	guarantee	VERB
ejpam-4364	35	24	the	the	DET
ejpam-4364	35	25	condition	condition	NOUN
ejpam-4364	35	26	.	.	PUNCT
ejpam-4364	36	1	gtk+1	gtk+1	NOUN
ejpam-4364	36	2	dk+1	dk+1	VERB
ejpam-4364	36	3	≤	≤	NUM
ejpam-4364	36	4	−c	−c	NOUN
ejpam-4364	36	5	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	36	6	(	(	PUNCT
ejpam-4364	36	7	13	13	NUM
ejpam-4364	36	8	)	)	PUNCT
ejpam-4364	36	9	zhang	zhang	PROPN
ejpam-4364	36	10	et	et	PROPN
ejpam-4364	36	11	al	al	PROPN
ejpam-4364	36	12	.	.	PUNCT
ejpam-4364	37	1	[	[	X
ejpam-4364	37	2	28	28	NUM
ejpam-4364	37	3	]	]	PUNCT
ejpam-4364	37	4	suggested	suggest	VERB
ejpam-4364	37	5	a	a	DET
ejpam-4364	37	6	conjugate	conjugate	ADJ
ejpam-4364	37	7	gradient	gradient	NOUN
ejpam-4364	37	8	approach	approach	NOUN
ejpam-4364	37	9	based	base	VERB
ejpam-4364	37	10	on	on	ADP
ejpam-4364	37	11	the	the	DET
ejpam-4364	37	12	modification	modification	NOUN
ejpam-4364	37	13	of	of	ADP
ejpam-4364	37	14	the	the	DET
ejpam-4364	37	15	fletcher	fletcher	PROPN
ejpam-4364	37	16	-	-	PUNCT
ejpam-4364	37	17	reeves	reeves	PROPN
ejpam-4364	37	18	method	method	NOUN
ejpam-4364	37	19	in	in	ADP
ejpam-4364	37	20	such	such	DET
ejpam-4364	37	21	a	a	DET
ejpam-4364	37	22	way	way	NOUN
ejpam-4364	37	23	that	that	PRON
ejpam-4364	37	24	the	the	DET
ejpam-4364	37	25	direction	direction	NOUN
ejpam-4364	37	26	dk	dk	INTJ
ejpam-4364	37	27	which	which	PRON
ejpam-4364	37	28	is	be	AUX
ejpam-4364	37	29	given	give	VERB
ejpam-4364	37	30	by	by	ADP
ejpam-4364	37	31	[	[	X
ejpam-4364	37	32	14	14	NUM
ejpam-4364	37	33	]	]	SYM
ejpam-4364	37	34	:	:	PUNCT
ejpam-4364	37	35	dk+1	dk+1	X
ejpam-4364	37	36	=	=	SYM
ejpam-4364	37	37	−θgk+1	−θgk+1	NOUN
ejpam-4364	37	38	+	+	CCONJ
ejpam-4364	37	39	βk	βk	NOUN
ejpam-4364	37	40	dk	dk	PROPN
ejpam-4364	37	41	(	(	PUNCT
ejpam-4364	37	42	14	14	NUM
ejpam-4364	37	43	)	)	PUNCT
ejpam-4364	37	44	and	and	CCONJ
ejpam-4364	37	45	the	the	DET
ejpam-4364	37	46	scalar	scalar	ADJ
ejpam-4364	37	47	θ	θ	PROPN
ejpam-4364	37	48	is	be	AUX
ejpam-4364	37	49	defined	define	VERB
ejpam-4364	37	50	as	as	ADP
ejpam-4364	37	51	,	,	PUNCT
ejpam-4364	37	52	θ	θ	X
ejpam-4364	37	53	=	=	PUNCT
ejpam-4364	37	54	(	(	PUNCT
ejpam-4364	37	55	1	1	NUM
ejpam-4364	37	56	+	+	NUM
ejpam-4364	37	57	βk	βk	PROPN
ejpam-4364	37	58	dtk	dtk	PROPN
ejpam-4364	37	59	gk+1	gk+1	NOUN
ejpam-4364	37	60	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	37	61	)	)	PUNCT
ejpam-4364	37	62	now	now	ADV
ejpam-4364	37	63	to	to	PART
ejpam-4364	37	64	improve	improve	VERB
ejpam-4364	37	65	the	the	DET
ejpam-4364	37	66	proposed	propose	VERB
ejpam-4364	37	67	cg	cg	NOUN
ejpam-4364	37	68	method	method	NOUN
ejpam-4364	37	69	,	,	PUNCT
ejpam-4364	37	70	we	we	PRON
ejpam-4364	37	71	combine	combine	VERB
ejpam-4364	37	72	the	the	DET
ejpam-4364	37	73	good	good	ADJ
ejpam-4364	37	74	computational	computational	ADJ
ejpam-4364	37	75	properties	property	NOUN
ejpam-4364	37	76	of	of	ADP
ejpam-4364	37	77	βy	βy	DET
ejpam-4364	37	78	k	k	PROPN
ejpam-4364	37	79	and	and	CCONJ
ejpam-4364	37	80	βg	βg	ADV
ejpam-4364	37	81	k	k	PROPN
ejpam-4364	37	82	method	method	NOUN
ejpam-4364	37	83	which	which	PRON
ejpam-4364	37	84	is	be	AUX
ejpam-4364	37	85	given	give	VERB
ejpam-4364	37	86	in	in	ADP
ejpam-4364	37	87	equations	equation	NOUN
ejpam-4364	37	88	(	(	PUNCT
ejpam-4364	37	89	8)	8)	NUM
ejpam-4364	37	90	and	and	CCONJ
ejpam-4364	37	91	(	(	PUNCT
ejpam-4364	37	92	9	9	NUM
ejpam-4364	37	93	)	)	PUNCT
ejpam-4364	37	94	respectively	respectively	ADV
ejpam-4364	37	95	.	.	PUNCT
ejpam-4364	38	1	these	these	DET
ejpam-4364	38	2	methods	method	NOUN
ejpam-4364	38	3	have	have	VERB
ejpam-4364	38	4	strong	strong	ADJ
ejpam-4364	38	5	convergence	convergence	NOUN
ejpam-4364	38	6	properties	property	NOUN
ejpam-4364	38	7	,	,	PUNCT
ejpam-4364	38	8	then	then	ADV
ejpam-4364	38	9	rewrite	rewrite	VERB
ejpam-4364	38	10	the	the	DET
ejpam-4364	38	11	new	new	ADJ
ejpam-4364	38	12	formula	formula	NOUN
ejpam-4364	38	13	of	of	ADP
ejpam-4364	38	14	βk	βk	NOUN
ejpam-4364	38	15	as	as	ADP
ejpam-4364	38	16	a	a	DET
ejpam-4364	38	17	linear	linear	ADJ
ejpam-4364	38	18	combination	combination	NOUN
ejpam-4364	38	19	of	of	ADP
ejpam-4364	38	20	(	(	PUNCT
ejpam-4364	38	21	8)	8)	NUM
ejpam-4364	38	22	and	and	CCONJ
ejpam-4364	38	23	(	(	PUNCT
ejpam-4364	38	24	9	9	NUM
ejpam-4364	38	25	)	)	PUNCT
ejpam-4364	38	26	,	,	PUNCT
ejpam-4364	38	27	therefor	therefor	ADP
ejpam-4364	38	28	our	our	PRON
ejpam-4364	38	29	new	new	ADJ
ejpam-4364	38	30	formula	formula	NOUN
ejpam-4364	38	31	βnn	βnn	NOUN
ejpam-4364	38	32	k	k	NOUN
ejpam-4364	38	33	becomes	become	VERB
ejpam-4364	38	34	:	:	PUNCT
ejpam-4364	38	35	βnn	βnn	NOUN
ejpam-4364	38	36	k	k	X
ejpam-4364	38	37	=	=	X
ejpam-4364	38	38	(	(	PUNCT
ejpam-4364	38	39	1−	1−	NUM
ejpam-4364	38	40	r)βy	r)βy	PROPN
ejpam-4364	38	41	k	k	PROPN
ejpam-4364	39	1	+	+	CCONJ
ejpam-4364	39	2	r	r	NOUN
ejpam-4364	39	3	βg	βg	ADV
ejpam-4364	39	4	k	k	X
ejpam-4364	39	5	(	(	PUNCT
ejpam-4364	39	6	15	15	NUM
ejpam-4364	39	7	)	)	PUNCT
ejpam-4364	39	8	where	where	SCONJ
ejpam-4364	39	9	0	0	NUM
ejpam-4364	39	10	<	<	X
ejpam-4364	39	11	r	r	X
ejpam-4364	39	12	<	<	X
ejpam-4364	39	13	1	1	NUM
ejpam-4364	39	14	,	,	PUNCT
ejpam-4364	39	15	βy	βy	PRON
ejpam-4364	39	16	k	k	NOUN
ejpam-4364	39	17	=	=	PUNCT
ejpam-4364	39	18	gtk+1	gtk+1	NOUN
ejpam-4364	39	19	yk	yk	PROPN
ejpam-4364	39	20	(	(	PUNCT
ejpam-4364	39	21	fk−fk+1)/αk−	fk−fk+1)/αk−	PROPN
ejpam-4364	39	22	gtk	gtk	NOUN
ejpam-4364	39	23	dk/2	dk/2	NOUN
ejpam-4364	39	24	,	,	PUNCT
ejpam-4364	39	25	and	and	CCONJ
ejpam-4364	39	26	βg	βg	AUX
ejpam-4364	39	27	k	k	NOUN
ejpam-4364	39	28	=	=	NOUN
ejpam-4364	39	29	gtk+1	gtk+1	VERB
ejpam-4364	39	30	gk+1	gk+1	NOUN
ejpam-4364	39	31	(	(	PUNCT
ejpam-4364	39	32	fk−fk+1)/αk−	fk−fk+1)/αk−	PROPN
ejpam-4364	39	33	gtk	gtk	NOUN
ejpam-4364	39	34	dk/2	dk/2	NOUN
ejpam-4364	39	35	now	now	ADV
ejpam-4364	39	36	by	by	ADP
ejpam-4364	39	37	multiplying	multiply	VERB
ejpam-4364	39	38	(	(	PUNCT
ejpam-4364	39	39	14	14	NUM
ejpam-4364	39	40	)	)	PUNCT
ejpam-4364	39	41	by	by	ADP
ejpam-4364	39	42	ytk	ytk	NOUN
ejpam-4364	39	43	and	and	CCONJ
ejpam-4364	39	44	using	use	VERB
ejpam-4364	39	45	the	the	DET
ejpam-4364	39	46	conjugacy	conjugacy	ADJ
ejpam-4364	39	47	condition	condition	NOUN
ejpam-4364	39	48	[	[	X
ejpam-4364	39	49	25	25	NUM
ejpam-4364	39	50	]	]	X
ejpam-4364	39	51	ytk	ytk	NUM
ejpam-4364	39	52	dk+1	dk+1	NOUN
ejpam-4364	39	53	=	=	SYM
ejpam-4364	39	54	0	0	NUM
ejpam-4364	39	55	in	in	ADP
ejpam-4364	39	56	order	order	NOUN
ejpam-4364	39	57	to	to	PART
ejpam-4364	39	58	compute	compute	VERB
ejpam-4364	39	59	the	the	DET
ejpam-4364	39	60	value	value	NOUN
ejpam-4364	39	61	of	of	ADP
ejpam-4364	39	62	r	r	NOUN
ejpam-4364	39	63	we	we	PRON
ejpam-4364	39	64	get	get	VERB
ejpam-4364	39	65	:	:	PUNCT
ejpam-4364	39	66	ytk	ytk	NOUN
ejpam-4364	39	67	(	(	PUNCT
ejpam-4364	39	68	−θgk+1	−θgk+1	X
ejpam-4364	39	69	+	+	CCONJ
ejpam-4364	39	70	βk	βk	NOUN
ejpam-4364	39	71	dk	dk	NOUN
ejpam-4364	39	72	)	)	PUNCT
ejpam-4364	39	73	=	=	SYM
ejpam-4364	39	74	0	0	NUM
ejpam-4364	40	1	(	(	PUNCT
ejpam-4364	40	2	16	16	NUM
ejpam-4364	40	3	)	)	PUNCT
ejpam-4364	40	4	−[1	−[1	NOUN
ejpam-4364	40	5	+	+	CCONJ
ejpam-4364	40	6	βk	βk	PROPN
ejpam-4364	40	7	dtk	dtk	PROPN
ejpam-4364	40	8	gk+1	gk+1	NOUN
ejpam-4364	40	9	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	40	10	]	]	X
ejpam-4364	40	11	ytk	ytk	NOUN
ejpam-4364	40	12	gk+1	gk+1	NOUN
ejpam-4364	40	13	+	+	CCONJ
ejpam-4364	40	14	βky	βky	PROPN
ejpam-4364	40	15	t	t	PROPN
ejpam-4364	40	16	k	k	NOUN
ejpam-4364	40	17	dk	dk	PROPN
ejpam-4364	40	18	=	=	SYM
ejpam-4364	40	19	0	0	NUM
ejpam-4364	40	20	(	(	PUNCT
ejpam-4364	40	21	17	17	NUM
ejpam-4364	40	22	)	)	PUNCT
ejpam-4364	40	23	by	by	ADP
ejpam-4364	40	24	using	use	VERB
ejpam-4364	40	25	(	(	PUNCT
ejpam-4364	40	26	15	15	NUM
ejpam-4364	40	27	)	)	PUNCT
ejpam-4364	40	28	we	we	PRON
ejpam-4364	40	29	get	get	VERB
ejpam-4364	40	30	:	:	PUNCT
ejpam-4364	40	31	−	−	PROPN
ejpam-4364	40	32	[	[	PUNCT
ejpam-4364	40	33	1	1	NUM
ejpam-4364	40	34	+	+	CCONJ
ejpam-4364	40	35	[	[	X
ejpam-4364	40	36	(	(	PUNCT
ejpam-4364	40	37	1−	1−	NUM
ejpam-4364	40	38	r)βy	r)βy	PROPN
ejpam-4364	40	39	k	k	PROPN
ejpam-4364	41	1	+	+	CCONJ
ejpam-4364	41	2	rβg	rβg	PROPN
ejpam-4364	41	3	k	k	X
ejpam-4364	41	4	]	]	PUNCT
ejpam-4364	41	5	dtk	dtk	PROPN
ejpam-4364	41	6	gk+1	gk+1	PROPN
ejpam-4364	41	7	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	41	8	]	]	X
ejpam-4364	41	9	ytk	ytk	NOUN
ejpam-4364	41	10	gk+1	gk+1	NOUN
ejpam-4364	42	1	+	+	CCONJ
ejpam-4364	43	1	[	[	X
ejpam-4364	43	2	(	(	PUNCT
ejpam-4364	43	3	1−	1−	NUM
ejpam-4364	43	4	r)βy	r)βy	PROPN
ejpam-4364	43	5	k	k	PROPN
ejpam-4364	44	1	+	+	CCONJ
ejpam-4364	44	2	rβg	rβg	PROPN
ejpam-4364	45	1	k	k	X
ejpam-4364	46	1	]	]	X
ejpam-4364	46	2	y	y	PROPN
ejpam-4364	46	3	t	t	PROPN
ejpam-4364	46	4	k	k	NOUN
ejpam-4364	46	5	dk	dk	PROPN
ejpam-4364	46	6	=	=	SYM
ejpam-4364	46	7	0	0	NUM
ejpam-4364	46	8	r	r	NOUN
ejpam-4364	46	9	[	[	PUNCT
ejpam-4364	46	10	−βg	−βg	PROPN
ejpam-4364	46	11	k	k	PROPN
ejpam-4364	46	12	dtk	dtk	PROPN
ejpam-4364	46	13	gk+1	gk+1	NOUN
ejpam-4364	46	14	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	46	15	ytk	ytk	NOUN
ejpam-4364	46	16	gk+1	gk+1	NOUN
ejpam-4364	47	1	+	+	CCONJ
ejpam-4364	47	2	βy	βy	PROPN
ejpam-4364	47	3	k	k	PROPN
ejpam-4364	47	4	dtk	dtk	PROPN
ejpam-4364	47	5	gk+1	gk+1	PROPN
ejpam-4364	47	6	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	47	7	ytk	ytk	NOUN
ejpam-4364	47	8	gk+1	gk+1	NOUN
ejpam-4364	48	1	−	−	NOUN
ejpam-4364	49	1	βy	βy	PRON
ejpam-4364	50	1	k	k	NOUN
ejpam-4364	50	2	ytk	ytk	NOUN
ejpam-4364	50	3	dk	dk	NOUN
ejpam-4364	51	1	+	+	CCONJ
ejpam-4364	51	2	βg	βg	PROPN
ejpam-4364	51	3	k	k	PROPN
ejpam-4364	51	4	y	y	PROPN
ejpam-4364	52	1	t	t	PROPN
ejpam-4364	52	2	k	k	PROPN
ejpam-4364	52	3	dk	dk	X
ejpam-4364	52	4	]	]	PUNCT
ejpam-4364	52	5	a.	a.	PROPN
ejpam-4364	52	6	m.	m.	PROPN
ejpam-4364	52	7	qasim	qasim	PROPN
ejpam-4364	52	8	,	,	PUNCT
ejpam-4364	52	9	z.	z.	PROPN
ejpam-4364	52	10	f.	f.	PROPN
ejpam-4364	52	11	salih	salih	PROPN
ejpam-4364	52	12	/	/	SYM
ejpam-4364	52	13	eur	eur	PROPN
ejpam-4364	52	14	.	.	PUNCT
ejpam-4364	53	1	j.	j.	PROPN
ejpam-4364	53	2	pure	pure	PROPN
ejpam-4364	53	3	appl	appl	PROPN
ejpam-4364	53	4	.	.	PROPN
ejpam-4364	53	5	math	math	PROPN
ejpam-4364	53	6	,	,	PUNCT
ejpam-4364	53	7	15	15	NUM
ejpam-4364	53	8	(	(	PUNCT
ejpam-4364	53	9	2	2	NUM
ejpam-4364	53	10	)	)	PUNCT
ejpam-4364	53	11	(	(	PUNCT
ejpam-4364	53	12	2022	2022	NUM
ejpam-4364	53	13	)	)	PUNCT
ejpam-4364	53	14	,	,	PUNCT
ejpam-4364	53	15	784	784	NUM
ejpam-4364	53	16	-	-	SYM
ejpam-4364	53	17	795	795	NUM
ejpam-4364	53	18	787	787	NUM
ejpam-4364	53	19	=	=	NOUN
ejpam-4364	53	20	βy	βy	PRON
ejpam-4364	53	21	k	k	PROPN
ejpam-4364	53	22	dtk	dtk	PROPN
ejpam-4364	53	23	gk+1	gk+1	PROPN
ejpam-4364	53	24	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	53	25	ytk	ytk	NOUN
ejpam-4364	53	26	gk+1	gk+1	NOUN
ejpam-4364	54	1	−	−	NOUN
ejpam-4364	55	1	βy	βy	PRON
ejpam-4364	56	1	k	k	PROPN
ejpam-4364	56	2	ytk	ytk	NOUN
ejpam-4364	56	3	dk	dk	PROPN
ejpam-4364	57	1	+	+	CCONJ
ejpam-4364	57	2	ytk	ytk	NOUN
ejpam-4364	57	3	gk+1	gk+1	NOUN
ejpam-4364	57	4	∴	∴	NOUN
ejpam-4364	57	5	r	r	NOUN
ejpam-4364	57	6	=	=	PRON
ejpam-4364	57	7	βy	βy	X
ejpam-4364	58	1	k	k	PROPN
ejpam-4364	58	2	(	(	PUNCT
ejpam-4364	58	3	dtk	dtk	PROPN
ejpam-4364	58	4	gk+1	gk+1	NOUN
ejpam-4364	58	5	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	58	6	ytk	ytk	NOUN
ejpam-4364	58	7	gk+1	gk+1	NOUN
ejpam-4364	58	8	−	−	NOUN
ejpam-4364	58	9	ytk	ytk	NOUN
ejpam-4364	58	10	dk	dk	PROPN
ejpam-4364	58	11	)	)	PUNCT
ejpam-4364	59	1	+	+	CCONJ
ejpam-4364	59	2	ytk	ytk	NUM
ejpam-4364	59	3	gk+1	gk+1	NOUN
ejpam-4364	59	4	(	(	PUNCT
ejpam-4364	59	5	βg	βg	ADP
ejpam-4364	59	6	k	k	INTJ
ejpam-4364	59	7	−	−	PROPN
ejpam-4364	59	8	βy	βy	PROPN
ejpam-4364	59	9	k	k	PROPN
ejpam-4364	59	10	)	)	PUNCT
ejpam-4364	59	11	(	(	PUNCT
ejpam-4364	59	12	ytk	ytk	NOUN
ejpam-4364	59	13	dk	dk	PROPN
ejpam-4364	59	14	−	−	PROPN
ejpam-4364	59	15	dtk	dtk	PROPN
ejpam-4364	59	16	gk+1	gk+1	NOUN
ejpam-4364	59	17	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	59	18	ytk	ytk	NOUN
ejpam-4364	59	19	gk+1	gk+1	NOUN
ejpam-4364	59	20	)	)	PUNCT
ejpam-4364	59	21	(	(	PUNCT
ejpam-4364	59	22	18	18	NUM
ejpam-4364	59	23	)	)	PUNCT
ejpam-4364	59	24	this	this	PRON
ejpam-4364	59	25	is	be	AUX
ejpam-4364	59	26	the	the	DET
ejpam-4364	59	27	final	final	ADJ
ejpam-4364	59	28	form	form	NOUN
ejpam-4364	59	29	of	of	ADP
ejpam-4364	59	30	r	r	NOUN
ejpam-4364	59	31	which	which	PRON
ejpam-4364	59	32	is	be	AUX
ejpam-4364	59	33	denoted	denote	VERB
ejpam-4364	59	34	in	in	ADP
ejpam-4364	59	35	the	the	DET
ejpam-4364	59	36	equation	equation	NOUN
ejpam-4364	59	37	above	above	ADV
ejpam-4364	59	38	.	.	PUNCT
ejpam-4364	60	1	the	the	DET
ejpam-4364	60	2	explanation	explanation	NOUN
ejpam-4364	60	3	of	of	ADP
ejpam-4364	60	4	the	the	DET
ejpam-4364	60	5	outlines	outline	NOUN
ejpam-4364	60	6	of	of	ADP
ejpam-4364	60	7	the	the	DET
ejpam-4364	60	8	new	new	ADJ
ejpam-4364	60	9	algorithm	algorithm	NOUN
ejpam-4364	60	10	might	might	AUX
ejpam-4364	60	11	be	be	AUX
ejpam-4364	60	12	stated	state	VERB
ejpam-4364	60	13	as	as	SCONJ
ejpam-4364	60	14	follows	follow	VERB
ejpam-4364	60	15	:	:	PUNCT
ejpam-4364	60	16	2.1	2.1	NUM
ejpam-4364	60	17	.	.	PUNCT
ejpam-4364	61	1	the	the	DET
ejpam-4364	61	2	nn	nn	PROPN
ejpam-4364	61	3	-	-	PUNCT
ejpam-4364	61	4	cg	cg	NOUN
ejpam-4364	61	5	algorithm	algorithm	NOUN
ejpam-4364	61	6	•	•	NOUN
ejpam-4364	61	7	1st	1st	NOUN
ejpam-4364	61	8	:	:	PUNCT
ejpam-4364	61	9	take	take	VERB
ejpam-4364	61	10	x1	x1	PROPN
ejpam-4364	61	11	∈	∈	PROPN
ejpam-4364	61	12	rn	rn	PROPN
ejpam-4364	61	13	,	,	PUNCT
ejpam-4364	61	14	ε	ε	PROPN
ejpam-4364	61	15	>	>	X
ejpam-4364	61	16	0	0	PROPN
ejpam-4364	61	17	,	,	PUNCT
ejpam-4364	61	18	d1	d1	PROPN
ejpam-4364	61	19	=	=	PUNCT
ejpam-4364	61	20	−g1	−g1	VERB
ejpam-4364	61	21	if	if	SCONJ
ejpam-4364	61	22	||g1||	||g1||	NOUN
ejpam-4364	61	23	<	<	X
ejpam-4364	61	24	ε	ε	PROPN
ejpam-4364	61	25	,	,	PUNCT
ejpam-4364	61	26	then	then	ADV
ejpam-4364	61	27	quit	quit	VERB
ejpam-4364	61	28	.	.	PUNCT
ejpam-4364	62	1	•	•	NUM
ejpam-4364	62	2	2nd	2nd	NOUN
ejpam-4364	62	3	:	:	PUNCT
ejpam-4364	62	4	if	if	SCONJ
ejpam-4364	62	5	||gk+1||	||gk+1||	PROPN
ejpam-4364	62	6	<	<	X
ejpam-4364	62	7	ε	ε	PROPN
ejpam-4364	62	8	then	then	ADV
ejpam-4364	62	9	come	come	VERB
ejpam-4364	62	10	to	to	ADP
ejpam-4364	62	11	the	the	DET
ejpam-4364	62	12	end	end	NOUN
ejpam-4364	62	13	;	;	PUNCT
ejpam-4364	62	14	otherwise	otherwise	ADV
ejpam-4364	62	15	proceed	proceed	VERB
ejpam-4364	62	16	to	to	ADP
ejpam-4364	62	17	3th	3th	ADJ
ejpam-4364	62	18	step	step	NOUN
ejpam-4364	62	19	.	.	PUNCT
ejpam-4364	63	1	•	•	NUM
ejpam-4364	63	2	3rd	3rd	NOUN
ejpam-4364	63	3	:	:	PUNCT
ejpam-4364	63	4	by	by	ADP
ejpam-4364	63	5	satisfying	satisfy	VERB
ejpam-4364	63	6	wolfe	wolfe	PROPN
ejpam-4364	63	7	conditions	condition	NOUN
ejpam-4364	63	8	(	(	PUNCT
ejpam-4364	63	9	11	11	NUM
ejpam-4364	63	10	)	)	PUNCT
ejpam-4364	63	11	and	and	CCONJ
ejpam-4364	63	12	(	(	PUNCT
ejpam-4364	63	13	12	12	NUM
ejpam-4364	63	14	)	)	PUNCT
ejpam-4364	63	15	,	,	PUNCT
ejpam-4364	63	16	find	find	VERB
ejpam-4364	63	17	αk	αk	NOUN
ejpam-4364	63	18	and	and	CCONJ
ejpam-4364	63	19	take	take	VERB
ejpam-4364	63	20	xk+1	xk+1	NOUN
ejpam-4364	63	21	=	=	SYM
ejpam-4364	63	22	xk+αkdk	xk+αkdk	ADJ
ejpam-4364	63	23	•	•	NUM
ejpam-4364	63	24	4th	4th	ADJ
ejpam-4364	63	25	:	:	PUNCT
ejpam-4364	63	26	find	find	VERB
ejpam-4364	63	27	βk	βk	ADP
ejpam-4364	63	28	by	by	ADP
ejpam-4364	63	29	equation	equation	NOUN
ejpam-4364	63	30	(	(	PUNCT
ejpam-4364	63	31	15	15	NUM
ejpam-4364	63	32	)	)	PUNCT
ejpam-4364	63	33	,	,	PUNCT
ejpam-4364	63	34	then	then	ADV
ejpam-4364	63	35	compute	compute	NOUN
ejpam-4364	63	36	dk+1	dk+1	AUX
ejpam-4364	63	37	by	by	ADP
ejpam-4364	63	38	(	(	PUNCT
ejpam-4364	63	39	3	3	NUM
ejpam-4364	63	40	)	)	PUNCT
ejpam-4364	63	41	.	.	PUNCT
ejpam-4364	64	1	•	•	NUM
ejpam-4364	64	2	5th	5th	NOUN
ejpam-4364	64	3	:	:	PUNCT
ejpam-4364	64	4	put	put	VERB
ejpam-4364	64	5	k	k	NOUN
ejpam-4364	64	6	=	=	PUNCT
ejpam-4364	64	7	k	k	PROPN
ejpam-4364	65	1	+	+	PROPN
ejpam-4364	65	2	1	1	NUM
ejpam-4364	65	3	,	,	PUNCT
ejpam-4364	65	4	go	go	VERB
ejpam-4364	65	5	-	-	PUNCT
ejpam-4364	65	6	to	to	ADP
ejpam-4364	65	7	2nd	2nd	NOUN
ejpam-4364	65	8	.	.	PUNCT
ejpam-4364	66	1	3	3	X
ejpam-4364	66	2	.	.	X
ejpam-4364	66	3	the	the	DET
ejpam-4364	66	4	global	global	ADJ
ejpam-4364	66	5	convergence	convergence	NOUN
ejpam-4364	66	6	theorem	theorem	VERB
ejpam-4364	66	7	and	and	CCONJ
ejpam-4364	66	8	hypothesis	hypothesis	NOUN
ejpam-4364	66	9	the	the	DET
ejpam-4364	66	10	following	follow	VERB
ejpam-4364	66	11	hypothesis	hypothesis	NOUN
ejpam-4364	66	12	is	be	AUX
ejpam-4364	66	13	required	require	VERB
ejpam-4364	66	14	to	to	PART
ejpam-4364	66	15	investigate	investigate	VERB
ejpam-4364	66	16	a	a	DET
ejpam-4364	66	17	new	new	ADJ
ejpam-4364	66	18	convergence	convergence	NOUN
ejpam-4364	66	19	method	method	NOUN
ejpam-4364	66	20	:	:	PUNCT
ejpam-4364	66	21	hypothesis	hypothesis	NOUN
ejpam-4364	66	22	number	number	NOUN
ejpam-4364	66	23	one	one	NUM
ejpam-4364	66	24	:	:	PUNCT
ejpam-4364	66	25	(	(	PUNCT
ejpam-4364	66	26	i	i	NOUN
ejpam-4364	66	27	)	)	PUNCT
ejpam-4364	67	1	the	the	DET
ejpam-4364	67	2	set	set	NOUN
ejpam-4364	67	3	ω	ω	PROPN
ejpam-4364	67	4	=	=	PUNCT
ejpam-4364	67	5	x	x	SYM
ejpam-4364	67	6	∈	∈	PROPN
ejpam-4364	67	7	rn|f(x	rn|f(x	NOUN
ejpam-4364	67	8	)	)	PUNCT
ejpam-4364	67	9	≤	≤	NUM
ejpam-4364	67	10	f(x0	f(x0	NOUN
ejpam-4364	67	11	)	)	PUNCT
ejpam-4364	67	12	is	be	AUX
ejpam-4364	67	13	bounded	bound	VERB
ejpam-4364	67	14	when	when	SCONJ
ejpam-4364	67	15	x0	x0	PROPN
ejpam-4364	67	16	∈	∈	PROPN
ejpam-4364	67	17	rn	rn	PROPN
ejpam-4364	67	18	,	,	PUNCT
ejpam-4364	67	19	is	be	AUX
ejpam-4364	67	20	an	an	DET
ejpam-4364	67	21	initial	initial	ADJ
ejpam-4364	67	22	point	point	NOUN
ejpam-4364	67	23	.	.	PUNCT
ejpam-4364	68	1	(	(	PUNCT
ejpam-4364	68	2	ii	ii	NOUN
ejpam-4364	68	3	)	)	PUNCT
ejpam-4364	68	4	there	there	PRON
ejpam-4364	68	5	exists	exist	VERB
ejpam-4364	68	6	a	a	DET
ejpam-4364	68	7	constant	constant	ADJ
ejpam-4364	68	8	w>0	w>0	NOUN
ejpam-4364	68	9	in	in	ADP
ejpam-4364	68	10	an	an	DET
ejpam-4364	68	11	open	open	ADJ
ejpam-4364	68	12	convex	convex	NOUN
ejpam-4364	68	13	set	set	VERB
ejpam-4364	68	14	n	n	PRON
ejpam-4364	68	15	that	that	PRON
ejpam-4364	68	16	includes	include	VERB
ejpam-4364	68	17	f	f	PROPN
ejpam-4364	68	18	is	be	AUX
ejpam-4364	68	19	continuously	continuously	ADV
ejpam-4364	68	20	differentiable	differentiable	ADJ
ejpam-4364	68	21	and	and	CCONJ
ejpam-4364	68	22	the	the	DET
ejpam-4364	68	23	gradient	gradient	NOUN
ejpam-4364	68	24	that	that	PRON
ejpam-4364	68	25	satisfies	satisfies	AUX
ejpam-4364	68	26	lipschitz	lipschitz	NOUN
ejpam-4364	68	27	condition	condition	NOUN
ejpam-4364	68	28	is	be	AUX
ejpam-4364	68	29	continuous	continuous	ADJ
ejpam-4364	68	30	.	.	PUNCT
ejpam-4364	69	1	for	for	ADP
ejpam-4364	69	2	more	more	ADJ
ejpam-4364	69	3	detail	detail	NOUN
ejpam-4364	69	4	see	see	VERB
ejpam-4364	69	5	[	[	X
ejpam-4364	69	6	29	29	NUM
ejpam-4364	69	7	]	]	PUNCT
ejpam-4364	69	8	.	.	PUNCT
ejpam-4364	70	1	such	such	ADJ
ejpam-4364	70	2	as	as	ADP
ejpam-4364	70	3	:	:	PUNCT
ejpam-4364	70	4	||g	||g	NOUN
ejpam-4364	70	5	(	(	PUNCT
ejpam-4364	70	6	x)−	x)−	PROPN
ejpam-4364	70	7	g(y)||	g(y)||	NOUN
ejpam-4364	70	8	≤	≤	NUM
ejpam-4364	70	9	w	w	PROPN
ejpam-4364	70	10	||x−	||x−	PROPN
ejpam-4364	70	11	y||	y||	PROPN
ejpam-4364	70	12	,	,	PUNCT
ejpam-4364	70	13	∀x	∀x	X
ejpam-4364	70	14	,	,	PUNCT
ejpam-4364	70	15	y	y	PROPN
ejpam-4364	70	16	∈	∈	PROPN
ejpam-4364	70	17	ω	ω	PROPN
ejpam-4364	70	18	(	(	PUNCT
ejpam-4364	70	19	19	19	NUM
ejpam-4364	70	20	)	)	PUNCT
ejpam-4364	70	21	furthermore	furthermore	ADV
ejpam-4364	70	22	,	,	PUNCT
ejpam-4364	70	23	we	we	PRON
ejpam-4364	70	24	can	can	AUX
ejpam-4364	70	25	deduce	deduce	VERB
ejpam-4364	70	26	from	from	ADP
ejpam-4364	70	27	the	the	DET
ejpam-4364	70	28	hypothesis	hypothesis	NOUN
ejpam-4364	70	29	that	that	PRON
ejpam-4364	70	30	p	p	PROPN
ejpam-4364	70	31	and	and	CCONJ
ejpam-4364	70	32	ℓ	ℓ	PROPN
ejpam-4364	70	33	>	>	X
ejpam-4364	70	34	0	0	NUM
ejpam-4364	70	35	are	be	AUX
ejpam-4364	70	36	constants	constant	NOUN
ejpam-4364	70	37	such	such	ADJ
ejpam-4364	70	38	that	that	SCONJ
ejpam-4364	70	39	:	:	PUNCT
ejpam-4364	70	40	||x||	||x||	ADP
ejpam-4364	70	41	≤	≤	ADJ
ejpam-4364	70	42	p	p	X
ejpam-4364	70	43	,	,	PUNCT
ejpam-4364	70	44	||g(x)||	||g(x)||	NUM
ejpam-4364	70	45	<	<	X
ejpam-4364	70	46	ℓ	ℓ	PROPN
ejpam-4364	70	47	,	,	PUNCT
ejpam-4364	70	48	∈	∈	PROPN
ejpam-4364	70	49	ω	ω	X
ejpam-4364	70	50	lemma	lemma	PROPN
ejpam-4364	70	51	1	1	X
ejpam-4364	70	52	.	.	PUNCT
ejpam-4364	70	53	consider	consider	VERB
ejpam-4364	70	54	that	that	DET
ejpam-4364	70	55	hypothesis	hypothesis	NOUN
ejpam-4364	70	56	number	number	NOUN
ejpam-4364	70	57	one	one	NUM
ejpam-4364	70	58	is	be	AUX
ejpam-4364	70	59	holding	hold	VERB
ejpam-4364	70	60	,	,	PUNCT
ejpam-4364	70	61	and	and	CCONJ
ejpam-4364	70	62	let	let	VERB
ejpam-4364	70	63	any	any	DET
ejpam-4364	70	64	step	step	NOUN
ejpam-4364	70	65	of	of	ADP
ejpam-4364	70	66	the	the	DET
ejpam-4364	70	67	type	type	NOUN
ejpam-4364	70	68	(	(	PUNCT
ejpam-4364	70	69	3	3	NUM
ejpam-4364	70	70	)	)	PUNCT
ejpam-4364	70	71	where	where	SCONJ
ejpam-4364	70	72	dk	dk	PROPN
ejpam-4364	70	73	is	be	AUX
ejpam-4364	70	74	decline	decline	NOUN
ejpam-4364	70	75	direction	direction	NOUN
ejpam-4364	70	76	and	and	CCONJ
ejpam-4364	70	77	αk	αk	SCONJ
ejpam-4364	70	78	fulfills	fulfill	VERB
ejpam-4364	70	79	conditions	condition	NOUN
ejpam-4364	70	80	(	(	PUNCT
ejpam-4364	70	81	11	11	NUM
ejpam-4364	70	82	)	)	PUNCT
ejpam-4364	70	83	and	and	CCONJ
ejpam-4364	70	84	(	(	PUNCT
ejpam-4364	70	85	12	12	NUM
ejpam-4364	70	86	)	)	PUNCT
ejpam-4364	70	87	,	,	PUNCT
ejpam-4364	70	88	so	so	ADV
ejpam-4364	70	89	zoutedijk	zoutedijk	NOUN
ejpam-4364	70	90	condition	condition	NOUN
ejpam-4364	70	91	hold	hold	VERB
ejpam-4364	70	92	.	.	PUNCT
ejpam-4364	71	1	[	[	X
ejpam-4364	71	2	30][22	30][22	NUM
ejpam-4364	71	3	]	]	PUNCT
ejpam-4364	71	4	.	.	PUNCT
ejpam-4364	72	1	a.	a.	PROPN
ejpam-4364	72	2	m.	m.	PROPN
ejpam-4364	72	3	qasim	qasim	PROPN
ejpam-4364	72	4	,	,	PUNCT
ejpam-4364	72	5	z.	z.	PROPN
ejpam-4364	72	6	f.	f.	PROPN
ejpam-4364	72	7	salih	salih	PROPN
ejpam-4364	72	8	/	/	SYM
ejpam-4364	72	9	eur	eur	PROPN
ejpam-4364	72	10	.	.	PUNCT
ejpam-4364	73	1	j.	j.	PROPN
ejpam-4364	73	2	pure	pure	PROPN
ejpam-4364	73	3	appl	appl	PROPN
ejpam-4364	73	4	.	.	PROPN
ejpam-4364	73	5	math	math	PROPN
ejpam-4364	73	6	,	,	PUNCT
ejpam-4364	73	7	15	15	NUM
ejpam-4364	73	8	(	(	PUNCT
ejpam-4364	73	9	2	2	NUM
ejpam-4364	73	10	)	)	PUNCT
ejpam-4364	73	11	(	(	PUNCT
ejpam-4364	73	12	2022	2022	NUM
ejpam-4364	73	13	)	)	PUNCT
ejpam-4364	73	14	,	,	PUNCT
ejpam-4364	73	15	784	784	NUM
ejpam-4364	73	16	-	-	SYM
ejpam-4364	73	17	795	795	NUM
ejpam-4364	73	18	788	788	NUM
ejpam-4364	73	19	∞∑	∞∑	NUM
ejpam-4364	73	20	k=1	k=1	PUNCT
ejpam-4364	73	21	(	(	PUNCT
ejpam-4364	73	22	gtk	gtk	NOUN
ejpam-4364	73	23	dk	dk	NOUN
ejpam-4364	73	24	)	)	PUNCT
ejpam-4364	73	25	2	2	NUM
ejpam-4364	73	26	||dk||2	||dk||2	NOUN
ejpam-4364	73	27	<	<	X
ejpam-4364	73	28	∞	∞	PROPN
ejpam-4364	73	29	(	(	PUNCT
ejpam-4364	73	30	20	20	NUM
ejpam-4364	73	31	)	)	PUNCT
ejpam-4364	73	32	following	follow	VERB
ejpam-4364	73	33	that	that	PRON
ejpam-4364	74	1	,	,	PUNCT
ejpam-4364	74	2	we	we	PRON
ejpam-4364	74	3	present	present	VERB
ejpam-4364	74	4	additional	additional	ADJ
ejpam-4364	74	5	lemmas	lemma	NOUN
ejpam-4364	74	6	that	that	PRON
ejpam-4364	74	7	are	be	AUX
ejpam-4364	74	8	critical	critical	ADJ
ejpam-4364	74	9	for	for	ADP
ejpam-4364	74	10	the	the	DET
ejpam-4364	74	11	global	global	ADJ
ejpam-4364	74	12	convergence	convergence	NOUN
ejpam-4364	74	13	dissection	dissection	NOUN
ejpam-4364	74	14	.	.	PUNCT
ejpam-4364	75	1	lemma	lemma	PROPN
ejpam-4364	75	2	2	2	X
ejpam-4364	75	3	.	.	PUNCT
ejpam-4364	75	4	suppose	suppose	VERB
ejpam-4364	75	5	that	that	SCONJ
ejpam-4364	75	6	hypothesis	hypothesis	NOUN
ejpam-4364	75	7	number	number	NOUN
ejpam-4364	75	8	one	one	NUM
ejpam-4364	75	9	holds	hold	VERB
ejpam-4364	75	10	,	,	PUNCT
ejpam-4364	75	11	and	and	CCONJ
ejpam-4364	75	12	take	take	VERB
ejpam-4364	75	13	into	into	ADP
ejpam-4364	75	14	account	account	NOUN
ejpam-4364	75	15	any	any	DET
ejpam-4364	75	16	iteration	iteration	NOUN
ejpam-4364	75	17	of	of	ADP
ejpam-4364	75	18	the	the	DET
ejpam-4364	75	19	form	form	NOUN
ejpam-4364	75	20	(	(	PUNCT
ejpam-4364	75	21	2	2	NUM
ejpam-4364	75	22	)	)	PUNCT
ejpam-4364	75	23	then	then	ADV
ejpam-4364	75	24	the	the	DET
ejpam-4364	75	25	direction	direction	NOUN
ejpam-4364	75	26	dk+1	dk+1	NOUN
ejpam-4364	75	27	which	which	PRON
ejpam-4364	75	28	is	be	AUX
ejpam-4364	75	29	given	give	VERB
ejpam-4364	75	30	in	in	ADP
ejpam-4364	75	31	(	(	PUNCT
ejpam-4364	75	32	14	14	NUM
ejpam-4364	75	33	)	)	PUNCT
ejpam-4364	75	34	satisfies	satisfy	VERB
ejpam-4364	75	35	the	the	DET
ejpam-4364	75	36	sufficient	sufficient	ADJ
ejpam-4364	75	37	descant	descant	NOUN
ejpam-4364	75	38	condition	condition	NOUN
ejpam-4364	75	39	dtk+1	dtk+1	VERB
ejpam-4364	75	40	gk+1	gk+1	NOUN
ejpam-4364	75	41	=	=	SYM
ejpam-4364	75	42	−||gk+1||2	−||gk+1||2	NUM
ejpam-4364	75	43	(	(	PUNCT
ejpam-4364	75	44	21	21	NUM
ejpam-4364	75	45	)	)	PUNCT
ejpam-4364	75	46	proof	proof	NOUN
ejpam-4364	75	47	.	.	PUNCT
ejpam-4364	76	1	from	from	ADP
ejpam-4364	76	2	(	(	PUNCT
ejpam-4364	76	3	15	15	NUM
ejpam-4364	76	4	)	)	PUNCT
ejpam-4364	76	5	,	,	PUNCT
ejpam-4364	76	6	for	for	ADP
ejpam-4364	76	7	k	k	PROPN
ejpam-4364	76	8	=	=	SYM
ejpam-4364	76	9	0	0	NOUN
ejpam-4364	76	10	the	the	DET
ejpam-4364	76	11	result	result	NOUN
ejpam-4364	76	12	is	be	AUX
ejpam-4364	76	13	hold	hold	ADJ
ejpam-4364	76	14	and	and	CCONJ
ejpam-4364	76	15	we	we	PRON
ejpam-4364	76	16	have	have	VERB
ejpam-4364	76	17	dt1	dt1	PROPN
ejpam-4364	76	18	g1	g1	PROPN
ejpam-4364	76	19	=	=	PUNCT
ejpam-4364	77	1	−||g1||2	−||g1||2	PROPN
ejpam-4364	77	2	,	,	PUNCT
ejpam-4364	77	3	now	now	ADV
ejpam-4364	77	4	when	when	SCONJ
ejpam-4364	77	5	k	k	PROPN
ejpam-4364	77	6	>	>	X
ejpam-4364	77	7	0	0	NUM
ejpam-4364	77	8	we	we	PRON
ejpam-4364	77	9	obtain	obtain	VERB
ejpam-4364	77	10	:	:	PUNCT
ejpam-4364	77	11	gtk+1	gtk+1	NOUN
ejpam-4364	77	12	dk+1	dk+1	NOUN
ejpam-4364	77	13	=	=	SYM
ejpam-4364	77	14	−	−	PROPN
ejpam-4364	77	15	(	(	PUNCT
ejpam-4364	77	16	1	1	NUM
ejpam-4364	77	17	+	+	CCONJ
ejpam-4364	77	18	βk	βk	ADP
ejpam-4364	77	19	gtk+1dk	gtk+1dk	PROPN
ejpam-4364	77	20	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	77	21	)	)	PUNCT
ejpam-4364	77	22	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	78	1	+	+	CCONJ
ejpam-4364	78	2	βkg	βkg	ADJ
ejpam-4364	78	3	t	t	NOUN
ejpam-4364	78	4	k+1dk	k+1dk	NOUN
ejpam-4364	78	5	=	=	SYM
ejpam-4364	79	1	−||gk+1||2	−||gk+1||2	ADJ
ejpam-4364	79	2	−	−	NOUN
ejpam-4364	79	3	βk	βk	NOUN
ejpam-4364	79	4	gtk+1	gtk+1	NOUN
ejpam-4364	79	5	dk	dk	PROPN
ejpam-4364	79	6	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	79	7	.||gk+1||2	.||gk+1||2	PUNCT
ejpam-4364	80	1	+	+	CCONJ
ejpam-4364	81	1	βkg	βkg	PROPN
ejpam-4364	81	2	t	t	NOUN
ejpam-4364	81	3	k+1	k+1	X
ejpam-4364	82	1	dk	dk	X
ejpam-4364	82	2	=	=	PUNCT
ejpam-4364	82	3	−||gk+1||2	−||gk+1||2	PROPN
ejpam-4364	82	4	(	(	PUNCT
ejpam-4364	82	5	22	22	NUM
ejpam-4364	82	6	)	)	PUNCT
ejpam-4364	82	7	we	we	PRON
ejpam-4364	82	8	see	see	VERB
ejpam-4364	82	9	that	that	SCONJ
ejpam-4364	82	10	(	(	PUNCT
ejpam-4364	82	11	21	21	NUM
ejpam-4364	82	12	)	)	PUNCT
ejpam-4364	82	13	holds	hold	VERB
ejpam-4364	82	14	for	for	ADP
ejpam-4364	82	15	all	all	PRON
ejpam-4364	82	16	k	k	X
ejpam-4364	82	17	>	>	X
ejpam-4364	82	18	0	0	X
ejpam-4364	82	19	.	.	PUNCT
ejpam-4364	83	1	so	so	ADV
ejpam-4364	83	2	,	,	PUNCT
ejpam-4364	83	3	the	the	DET
ejpam-4364	83	4	proof	proof	NOUN
ejpam-4364	83	5	is	be	AUX
ejpam-4364	83	6	complete	complete	ADJ
ejpam-4364	83	7	.	.	PUNCT
ejpam-4364	84	1	lemma	lemma	PROPN
ejpam-4364	84	2	3	3	X
ejpam-4364	84	3	.	.	X
ejpam-4364	84	4	consider	consider	VERB
ejpam-4364	84	5	that	that	DET
ejpam-4364	84	6	hypothesis	hypothesis	NOUN
ejpam-4364	84	7	(	(	PUNCT
ejpam-4364	84	8	1	1	NUM
ejpam-4364	84	9	)	)	PUNCT
ejpam-4364	84	10	and	and	CCONJ
ejpam-4364	84	11	(	(	PUNCT
ejpam-4364	84	12	2	2	X
ejpam-4364	84	13	)	)	PUNCT
ejpam-4364	84	14	hold	hold	VERB
ejpam-4364	84	15	and	and	CCONJ
ejpam-4364	84	16	let	let	VERB
ejpam-4364	84	17	αk	αk	PRON
ejpam-4364	84	18	satisfies	satisfy	VERB
ejpam-4364	84	19	wolfe	wolfe	PROPN
ejpam-4364	84	20	’s	’s	PART
ejpam-4364	84	21	condition	condition	NOUN
ejpam-4364	84	22	(	(	PUNCT
ejpam-4364	84	23	11	11	NUM
ejpam-4364	84	24	)	)	PUNCT
ejpam-4364	84	25	,	,	PUNCT
ejpam-4364	84	26	(	(	PUNCT
ejpam-4364	84	27	12	12	NUM
ejpam-4364	84	28	)	)	PUNCT
ejpam-4364	84	29	then	then	ADV
ejpam-4364	84	30	βk	βk	ADP
ejpam-4364	84	31	which	which	PRON
ejpam-4364	84	32	is	be	AUX
ejpam-4364	84	33	determined	determine	VERB
ejpam-4364	84	34	by	by	ADP
ejpam-4364	84	35	(	(	PUNCT
ejpam-4364	84	36	15	15	NUM
ejpam-4364	84	37	)	)	PUNCT
ejpam-4364	84	38	satisfies	satisfie	NOUN
ejpam-4364	84	39	0	0	PUNCT
ejpam-4364	84	40	<	<	X
ejpam-4364	84	41	βk	βk	NOUN
ejpam-4364	84	42	proof	proof	NOUN
ejpam-4364	84	43	.	.	PUNCT
ejpam-4364	85	1	from	from	ADP
ejpam-4364	85	2	the	the	DET
ejpam-4364	85	3	line	line	NOUN
ejpam-4364	85	4	of	of	ADP
ejpam-4364	85	5	inquiry	inquiry	NOUN
ejpam-4364	85	6	condition	condition	NOUN
ejpam-4364	85	7	(	(	PUNCT
ejpam-4364	85	8	11	11	NUM
ejpam-4364	85	9	)	)	PUNCT
ejpam-4364	85	10	,	,	PUNCT
ejpam-4364	85	11	(	(	PUNCT
ejpam-4364	85	12	12	12	NUM
ejpam-4364	85	13	)	)	PUNCT
ejpam-4364	85	14	as	as	ADV
ejpam-4364	85	15	well	well	ADV
ejpam-4364	85	16	as	as	ADP
ejpam-4364	85	17	the	the	DET
ejpam-4364	85	18	sufficient	sufficient	ADJ
ejpam-4364	85	19	descent	descent	NOUN
ejpam-4364	85	20	condition	condition	NOUN
ejpam-4364	85	21	(	(	PUNCT
ejpam-4364	85	22	21	21	NUM
ejpam-4364	85	23	)	)	PUNCT
ejpam-4364	85	24	,	,	PUNCT
ejpam-4364	85	25	and	and	CCONJ
ejpam-4364	85	26	since	since	SCONJ
ejpam-4364	85	27	dtk	dtk	PROPN
ejpam-4364	85	28	gk	gk	PROPN
ejpam-4364	85	29	=	=	PROPN
ejpam-4364	85	30	−||gk||2	−||gk||2	NOUN
ejpam-4364	85	31	it	it	PRON
ejpam-4364	85	32	is	be	AUX
ejpam-4364	85	33	possible	possible	ADJ
ejpam-4364	85	34	to	to	PART
ejpam-4364	85	35	show	show	VERB
ejpam-4364	85	36	that	that	SCONJ
ejpam-4364	85	37	:	:	PUNCT
ejpam-4364	85	38	βy	βy	ADP
ejpam-4364	86	1	k	k	NOUN
ejpam-4364	86	2	=	=	PUNCT
ejpam-4364	86	3	gtk+1yk	gtk+1yk	PROPN
ejpam-4364	86	4	(	(	PUNCT
ejpam-4364	86	5	fk	fk	INTJ
ejpam-4364	86	6	−	−	PROPN
ejpam-4364	86	7	fk+1)/αk−g	fk+1)/αk−g	PROPN
ejpam-4364	87	1	t	t	PROPN
ejpam-4364	87	2	k	k	PROPN
ejpam-4364	87	3	dk/2	dk/2	PROPN
ejpam-4364	87	4	>	>	X
ejpam-4364	87	5	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	88	1	−	−	PROPN
ejpam-4364	88	2	gtk+1gk	gtk+1gk	ADJ
ejpam-4364	88	3	−δ1dtk	−δ1dtk	PUNCT
ejpam-4364	88	4	gk	gk	PROPN
ejpam-4364	88	5	+	+	PROPN
ejpam-4364	88	6	||gk||2	||gk||2	PROPN
ejpam-4364	88	7	2	2	NUM
ejpam-4364	88	8	(	(	PUNCT
ejpam-4364	88	9	23	23	NUM
ejpam-4364	88	10	)	)	PUNCT
ejpam-4364	88	11	βg	βg	ADP
ejpam-4364	88	12	k	k	NOUN
ejpam-4364	88	13	=	=	PRON
ejpam-4364	88	14	gtk+1gk+1	gtk+1gk+1	X
ejpam-4364	88	15	(	(	PUNCT
ejpam-4364	88	16	fk	fk	INTJ
ejpam-4364	88	17	−	−	PROPN
ejpam-4364	88	18	fk+1)/αk	fk+1)/αk	NOUN
ejpam-4364	89	1	−	−	PROPN
ejpam-4364	89	2	gtk	gtk	NOUN
ejpam-4364	89	3	dk/2	dk/2	VERB
ejpam-4364	89	4	>	>	X
ejpam-4364	89	5	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	89	6	−δ1dtk	−δ1dtk	VERB
ejpam-4364	89	7	gk	gk	PROPN
ejpam-4364	89	8	+	+	PROPN
ejpam-4364	89	9	||gk||2	||gk||2	PROPN
ejpam-4364	89	10	2	2	NUM
ejpam-4364	89	11	>	>	SYM
ejpam-4364	89	12	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	89	13	δ||gk||2	δ||gk||2	NOUN
ejpam-4364	89	14	+	+	CCONJ
ejpam-4364	89	15	||gk||2	||gk||2	ADJ
ejpam-4364	89	16	2	2	NUM
ejpam-4364	89	17	=	=	SYM
ejpam-4364	89	18	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	89	19	(	(	PUNCT
ejpam-4364	89	20	δ	δ	NOUN
ejpam-4364	89	21	+	+	CCONJ
ejpam-4364	89	22	1	1	NUM
ejpam-4364	89	23	2	2	NUM
ejpam-4364	89	24	)	)	PUNCT
ejpam-4364	89	25	||gk||2	||gk||2	NOUN
ejpam-4364	89	26	>	>	X
ejpam-4364	89	27	0	0	PUNCT
ejpam-4364	90	1	(	(	PUNCT
ejpam-4364	90	2	24	24	NUM
ejpam-4364	90	3	)	)	PUNCT
ejpam-4364	90	4	then	then	ADV
ejpam-4364	90	5	from	from	ADP
ejpam-4364	90	6	(	(	PUNCT
ejpam-4364	90	7	23	23	NUM
ejpam-4364	90	8	)	)	PUNCT
ejpam-4364	90	9	,	,	PUNCT
ejpam-4364	90	10	(	(	PUNCT
ejpam-4364	90	11	24	24	NUM
ejpam-4364	90	12	)	)	PUNCT
ejpam-4364	90	13	and	and	CCONJ
ejpam-4364	90	14	(	(	PUNCT
ejpam-4364	90	15	15	15	X
ejpam-4364	90	16	)	)	PUNCT
ejpam-4364	90	17	we	we	PRON
ejpam-4364	90	18	have	have	VERB
ejpam-4364	90	19	:	:	PUNCT
ejpam-4364	90	20	βnn	βnn	VERB
ejpam-4364	90	21	k	k	X
ejpam-4364	90	22	=	=	PRON
ejpam-4364	90	23	(	(	PUNCT
ejpam-4364	90	24	1−	1−	NUM
ejpam-4364	90	25	r)βy	r)βy	PROPN
ejpam-4364	90	26	k	k	PROPN
ejpam-4364	91	1	+	+	CCONJ
ejpam-4364	91	2	r	r	NOUN
ejpam-4364	91	3	βg	βg	NOUN
ejpam-4364	91	4	k	k	NOUN
ejpam-4364	91	5	=	=	PUNCT
ejpam-4364	91	6	(	(	PUNCT
ejpam-4364	91	7	1−	1−	NUM
ejpam-4364	91	8	r	r	NOUN
ejpam-4364	91	9	)	)	PUNCT
ejpam-4364	91	10	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	91	11	−	−	PROPN
ejpam-4364	91	12	gtk+1gk	gtk+1gk	PROPN
ejpam-4364	91	13	(	(	PUNCT
ejpam-4364	91	14	δ	δ	PROPN
ejpam-4364	91	15	+	+	NOUN
ejpam-4364	91	16	1	1	NUM
ejpam-4364	91	17	2	2	NUM
ejpam-4364	91	18	)	)	PUNCT
ejpam-4364	92	1	||gk||2	||gk||2	PROPN
ejpam-4364	93	1	+	+	CCONJ
ejpam-4364	93	2	r	r	NOUN
ejpam-4364	93	3	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	93	4	(	(	PUNCT
ejpam-4364	93	5	δ	δ	NOUN
ejpam-4364	93	6	+	+	NOUN
ejpam-4364	93	7	1	1	NUM
ejpam-4364	93	8	2	2	NUM
ejpam-4364	93	9	)	)	PUNCT
ejpam-4364	93	10	||gk||2	||gk||2	NOUN
ejpam-4364	93	11	=	=	NOUN
ejpam-4364	93	12	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	94	1	−	−	PROPN
ejpam-4364	94	2	gtk+1gk	gtk+1gk	PROPN
ejpam-4364	94	3	+	+	CCONJ
ejpam-4364	94	4	rgtk+1gk	rgtk+1gk	PROPN
ejpam-4364	94	5	(	(	PUNCT
ejpam-4364	94	6	δ	δ	NOUN
ejpam-4364	94	7	+	+	NOUN
ejpam-4364	94	8	1	1	NUM
ejpam-4364	94	9	2	2	NUM
ejpam-4364	94	10	)	)	PUNCT
ejpam-4364	94	11	||gk||2	||gk||2	PROPN
ejpam-4364	94	12	a.	a.	NOUN
ejpam-4364	94	13	m.	m.	PROPN
ejpam-4364	94	14	qasim	qasim	PROPN
ejpam-4364	94	15	,	,	PUNCT
ejpam-4364	94	16	z.	z.	PROPN
ejpam-4364	94	17	f.	f.	PROPN
ejpam-4364	94	18	salih	salih	PROPN
ejpam-4364	94	19	/	/	SYM
ejpam-4364	94	20	eur	eur	PROPN
ejpam-4364	94	21	.	.	PUNCT
ejpam-4364	95	1	j.	j.	PROPN
ejpam-4364	95	2	pure	pure	PROPN
ejpam-4364	95	3	appl	appl	PROPN
ejpam-4364	95	4	.	.	PROPN
ejpam-4364	95	5	math	math	PROPN
ejpam-4364	95	6	,	,	PUNCT
ejpam-4364	95	7	15	15	NUM
ejpam-4364	95	8	(	(	PUNCT
ejpam-4364	95	9	2	2	NUM
ejpam-4364	95	10	)	)	PUNCT
ejpam-4364	95	11	(	(	PUNCT
ejpam-4364	95	12	2022	2022	NUM
ejpam-4364	95	13	)	)	PUNCT
ejpam-4364	95	14	,	,	PUNCT
ejpam-4364	95	15	784	784	NUM
ejpam-4364	95	16	-	-	SYM
ejpam-4364	95	17	795	795	NUM
ejpam-4364	95	18	789	789	NUM
ejpam-4364	95	19	from	from	ADP
ejpam-4364	95	20	powell	powell	PROPN
ejpam-4364	95	21	restart	restart	NOUN
ejpam-4364	95	22	condition	condition	NOUN
ejpam-4364	95	23	(	(	PUNCT
ejpam-4364	95	24	10	10	NUM
ejpam-4364	95	25	)	)	PUNCT
ejpam-4364	95	26	we	we	PRON
ejpam-4364	95	27	have	have	AUX
ejpam-4364	95	28	βnn	βnn	NOUN
ejpam-4364	95	29	k	k	X
ejpam-4364	95	30	>	>	X
ejpam-4364	95	31	||gk+1||2	||gk+1||2	PROPN
ejpam-4364	96	1	−	−	NOUN
ejpam-4364	96	2	0.2||gk+1||2	0.2||gk+1||2	PROPN
ejpam-4364	96	3	+	+	CCONJ
ejpam-4364	96	4	0.2r||gk+1||2	0.2r||gk+1||2	PROPN
ejpam-4364	96	5	(	(	PUNCT
ejpam-4364	96	6	δ	δ	PROPN
ejpam-4364	96	7	+	+	CCONJ
ejpam-4364	96	8	1	1	NUM
ejpam-4364	96	9	2	2	NUM
ejpam-4364	96	10	)	)	PUNCT
ejpam-4364	96	11	||gk||2	||gk||2	PROPN
ejpam-4364	96	12	>	>	X
ejpam-4364	96	13	0.8||gk+1||2	0.8||gk+1||2	PROPN
ejpam-4364	97	1	+	+	CCONJ
ejpam-4364	97	2	0.2r||gk+1||2	0.2r||gk+1||2	PROPN
ejpam-4364	97	3	(	(	PUNCT
ejpam-4364	97	4	δ	δ	PROPN
ejpam-4364	97	5	+	+	CCONJ
ejpam-4364	97	6	1	1	NUM
ejpam-4364	97	7	2	2	NUM
ejpam-4364	97	8	)	)	PUNCT
ejpam-4364	97	9	||gk||2	||gk||2	ADJ
ejpam-4364	97	10	∴	∴	PROPN
ejpam-4364	97	11	βnn	βnn	NOUN
ejpam-4364	97	12	k	k	PROPN
ejpam-4364	97	13	=	=	PUNCT
ejpam-4364	97	14	n||gk+1||2	n||gk+1||2	PROPN
ejpam-4364	97	15	(	(	PUNCT
ejpam-4364	97	16	δ	δ	PROPN
ejpam-4364	97	17	+	+	CCONJ
ejpam-4364	97	18	1	1	NUM
ejpam-4364	97	19	2	2	NUM
ejpam-4364	97	20	)	)	PUNCT
ejpam-4364	97	21	||gk||2	||gk||2	NOUN
ejpam-4364	97	22	>	>	X
ejpam-4364	97	23	0	0	PUNCT
ejpam-4364	98	1	(	(	PUNCT
ejpam-4364	98	2	25	25	NUM
ejpam-4364	98	3	)	)	PUNCT
ejpam-4364	98	4	by	by	ADP
ejpam-4364	98	5	assuming	assume	VERB
ejpam-4364	98	6	n	n	X
ejpam-4364	98	7	=	=	PUNCT
ejpam-4364	98	8	(	(	PUNCT
ejpam-4364	98	9	0.8	0.8	NUM
ejpam-4364	98	10	+	+	CCONJ
ejpam-4364	98	11	0.2r	0.2r	NUM
ejpam-4364	98	12	)	)	PUNCT
ejpam-4364	98	13	,	,	PUNCT
ejpam-4364	98	14	and	and	CCONJ
ejpam-4364	98	15	since	since	SCONJ
ejpam-4364	98	16	0	0	NUM
ejpam-4364	98	17	<	<	X
ejpam-4364	98	18	r	r	X
ejpam-4364	98	19	<	<	X
ejpam-4364	98	20	1	1	NUM
ejpam-4364	98	21	then	then	ADV
ejpam-4364	98	22	it	it	PRON
ejpam-4364	98	23	is	be	AUX
ejpam-4364	98	24	clearly	clearly	ADV
ejpam-4364	98	25	that	that	SCONJ
ejpam-4364	98	26	βnn	βnn	NOUN
ejpam-4364	98	27	k	k	X
ejpam-4364	98	28	>	>	X
ejpam-4364	98	29	0	0	NUM
ejpam-4364	99	1	theorem	theorem	NOUN
ejpam-4364	99	2	1	1	NUM
ejpam-4364	99	3	.	.	PUNCT
ejpam-4364	100	1	assume	assume	VERB
ejpam-4364	100	2	that	that	SCONJ
ejpam-4364	100	3	hypothesis	hypothesis	NOUN
ejpam-4364	100	4	number	number	NOUN
ejpam-4364	100	5	one	one	NUM
ejpam-4364	100	6	is	be	AUX
ejpam-4364	100	7	true	true	ADJ
ejpam-4364	100	8	,	,	PUNCT
ejpam-4364	100	9	{	{	PUNCT
ejpam-4364	100	10	xk	xk	ADJ
ejpam-4364	100	11	}	}	PUNCT
ejpam-4364	100	12	is	be	AUX
ejpam-4364	100	13	a	a	DET
ejpam-4364	100	14	sequence	sequence	NOUN
ejpam-4364	100	15	generated	generate	VERB
ejpam-4364	100	16	by	by	ADP
ejpam-4364	100	17	the	the	DET
ejpam-4364	100	18	algorithm	algorithm	NOUN
ejpam-4364	100	19	(	(	PUNCT
ejpam-4364	100	20	2.1	2.1	NUM
ejpam-4364	100	21	)	)	PUNCT
ejpam-4364	100	22	and	and	CCONJ
ejpam-4364	100	23	αk	αk	SCONJ
ejpam-4364	100	24	fulfill	fulfill	VERB
ejpam-4364	100	25	the	the	DET
ejpam-4364	100	26	wolfe	wolfe	PROPN
ejpam-4364	100	27	’s	’s	PART
ejpam-4364	100	28	conditions	condition	NOUN
ejpam-4364	100	29	(	(	PUNCT
ejpam-4364	100	30	11	11	NUM
ejpam-4364	100	31	)	)	PUNCT
ejpam-4364	100	32	and	and	CCONJ
ejpam-4364	100	33	(	(	PUNCT
ejpam-4364	100	34	12	12	NUM
ejpam-4364	100	35	)	)	PUNCT
ejpam-4364	100	36	,	,	PUNCT
ejpam-4364	100	37	then	then	ADV
ejpam-4364	100	38	we	we	PRON
ejpam-4364	100	39	need	need	VERB
ejpam-4364	100	40	to	to	PART
ejpam-4364	100	41	prove	prove	VERB
ejpam-4364	100	42	that	that	SCONJ
ejpam-4364	100	43	limk→∞	limk→∞	ADJ
ejpam-4364	100	44	inf	inf	ADJ
ejpam-4364	100	45	||gk+1||	||gk+1||	NOUN
ejpam-4364	100	46	=	=	SYM
ejpam-4364	100	47	0	0	NUM
ejpam-4364	100	48	proof	proof	NOUN
ejpam-4364	100	49	.	.	PUNCT
ejpam-4364	101	1	we	we	PRON
ejpam-4364	101	2	use	use	VERB
ejpam-4364	101	3	the	the	DET
ejpam-4364	101	4	disagreement	disagreement	ADJ
ejpam-4364	101	5	method	method	NOUN
ejpam-4364	101	6	to	to	PART
ejpam-4364	101	7	complete	complete	VERB
ejpam-4364	101	8	the	the	DET
ejpam-4364	101	9	proof	proof	NOUN
ejpam-4364	101	10	which	which	PRON
ejpam-4364	101	11	assumes	assume	VERB
ejpam-4364	101	12	that	that	SCONJ
ejpam-4364	101	13	||gk+1||	||gk+1||	NOUN
ejpam-4364	101	14	>	>	PUNCT
ejpam-4364	101	15	γ	γ	X
ejpam-4364	101	16	for	for	ADP
ejpam-4364	101	17	γ	γ	X
ejpam-4364	101	18	>	>	X
ejpam-4364	101	19	0	0	PUNCT
ejpam-4364	101	20	from	from	ADP
ejpam-4364	101	21	(	(	PUNCT
ejpam-4364	101	22	3	3	X
ejpam-4364	101	23	)	)	PUNCT
ejpam-4364	101	24	it	it	PRON
ejpam-4364	101	25	follows	follow	VERB
ejpam-4364	101	26	that	that	SCONJ
ejpam-4364	101	27	:	:	PUNCT
ejpam-4364	101	28	dk+1	dk+1	NOUN
ejpam-4364	101	29	+	+	NUM
ejpam-4364	101	30	gk+1	gk+1	NOUN
ejpam-4364	101	31	=	=	SYM
ejpam-4364	101	32	βkdk	βkdk	NOUN
ejpam-4364	101	33	by	by	ADP
ejpam-4364	101	34	squaring	square	VERB
ejpam-4364	101	35	the	the	DET
ejpam-4364	101	36	equation	equation	NOUN
ejpam-4364	101	37	(	(	PUNCT
ejpam-4364	101	38	3	3	X
ejpam-4364	101	39	)	)	PUNCT
ejpam-4364	101	40	we	we	PRON
ejpam-4364	101	41	have	have	VERB
ejpam-4364	101	42	:	:	PUNCT
ejpam-4364	101	43	||dk+1||2	||dk+1||2	NUM
ejpam-4364	101	44	+	+	CCONJ
ejpam-4364	101	45	2gtk+1dk+1	2gtk+1dk+1	NUM
ejpam-4364	101	46	+	+	CCONJ
ejpam-4364	101	47	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	101	48	=	=	SYM
ejpam-4364	101	49	β2	β2	NOUN
ejpam-4364	101	50	k||dk||2	k||dk||2	PROPN
ejpam-4364	101	51	since	since	SCONJ
ejpam-4364	101	52	the	the	DET
ejpam-4364	101	53	sufficient	sufficient	ADJ
ejpam-4364	101	54	descant	descant	NOUN
ejpam-4364	101	55	condition	condition	NOUN
ejpam-4364	101	56	(	(	PUNCT
ejpam-4364	101	57	21	21	NUM
ejpam-4364	101	58	)	)	PUNCT
ejpam-4364	101	59	is	be	AUX
ejpam-4364	101	60	held	hold	VERB
ejpam-4364	101	61	,	,	PUNCT
ejpam-4364	101	62	we	we	PRON
ejpam-4364	101	63	obtain	obtain	VERB
ejpam-4364	101	64	:	:	PUNCT
ejpam-4364	101	65	||dk+1||2	||dk+1||2	X
ejpam-4364	101	66	=	=	SYM
ejpam-4364	101	67	(	(	PUNCT
ejpam-4364	101	68	βk	βk	NOUN
ejpam-4364	101	69	)	)	PUNCT
ejpam-4364	101	70	2||dk||2	2||dk||2	NUM
ejpam-4364	101	71	−	−	NOUN
ejpam-4364	101	72	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	101	73	−	−	NOUN
ejpam-4364	101	74	2gtk+1	2gtk+1	NUM
ejpam-4364	101	75	dk+1	dk+1	NOUN
ejpam-4364	101	76	=	=	SYM
ejpam-4364	101	77	(	(	PUNCT
ejpam-4364	101	78	βk	βk	NOUN
ejpam-4364	101	79	)	)	PUNCT
ejpam-4364	102	1	2||dk||2	2||dk||2	NUM
ejpam-4364	102	2	−	−	NOUN
ejpam-4364	102	3	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	103	1	+	+	NOUN
ejpam-4364	103	2	2||gk+1||2	2||gk+1||2	NUM
ejpam-4364	103	3	=	=	SYM
ejpam-4364	103	4	(	(	PUNCT
ejpam-4364	103	5	βk	βk	NOUN
ejpam-4364	103	6	)	)	PUNCT
ejpam-4364	103	7	2||dk||2	2||dk||2	PROPN
ejpam-4364	103	8	+	+	CCONJ
ejpam-4364	103	9	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	103	10	(	(	PUNCT
ejpam-4364	103	11	26	26	NUM
ejpam-4364	103	12	)	)	PUNCT
ejpam-4364	103	13	both	both	DET
ejpam-4364	103	14	sides	side	NOUN
ejpam-4364	103	15	are	be	AUX
ejpam-4364	103	16	divided	divide	VERB
ejpam-4364	103	17	by	by	ADP
ejpam-4364	103	18	(	(	PUNCT
ejpam-4364	103	19	gtk+1	gtk+1	NOUN
ejpam-4364	103	20	dk+1	dk+1	NOUN
ejpam-4364	103	21	)	)	PUNCT
ejpam-4364	103	22	2	2	NUM
ejpam-4364	103	23	we	we	PRON
ejpam-4364	103	24	have	have	VERB
ejpam-4364	103	25	:	:	PUNCT
ejpam-4364	103	26	||dk+1||2	||dk+1||2	NUM
ejpam-4364	103	27	(	(	PUNCT
ejpam-4364	103	28	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-4364	103	29	)	)	SYM
ejpam-4364	103	30	2	2	NUM
ejpam-4364	103	31	≤	≤	NOUN
ejpam-4364	103	32	(	(	PUNCT
ejpam-4364	103	33	β2	β2	NOUN
ejpam-4364	103	34	k	k	PROPN
ejpam-4364	103	35	)	)	PUNCT
ejpam-4364	103	36	||dk||2	||dk||2	NOUN
ejpam-4364	103	37	(	(	PUNCT
ejpam-4364	103	38	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-4364	103	39	)	)	PUNCT
ejpam-4364	103	40	2	2	NUM
ejpam-4364	104	1	+	+	CCONJ
ejpam-4364	104	2	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	104	3	(	(	PUNCT
ejpam-4364	104	4	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-4364	104	5	)	)	SYM
ejpam-4364	104	6	2	2	NUM
ejpam-4364	104	7	≤	≤	NOUN
ejpam-4364	104	8	(	(	PUNCT
ejpam-4364	104	9	βk	βk	NOUN
ejpam-4364	104	10	)	)	PUNCT
ejpam-4364	104	11	2	2	NUM
ejpam-4364	104	12	||dk||2	||dk||2	NOUN
ejpam-4364	104	13	(	(	PUNCT
ejpam-4364	104	14	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-4364	104	15	)	)	PUNCT
ejpam-4364	104	16	2	2	NUM
ejpam-4364	104	17	+	+	SYM
ejpam-4364	104	18	1	1	NUM
ejpam-4364	104	19	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	104	20	(	(	PUNCT
ejpam-4364	104	21	27	27	NUM
ejpam-4364	104	22	)	)	PUNCT
ejpam-4364	104	23	now	now	ADV
ejpam-4364	104	24	from	from	ADP
ejpam-4364	104	25	(	(	PUNCT
ejpam-4364	104	26	25	25	NUM
ejpam-4364	104	27	)	)	PUNCT
ejpam-4364	104	28	,	,	PUNCT
ejpam-4364	104	29	(	(	PUNCT
ejpam-4364	104	30	27	27	NUM
ejpam-4364	104	31	)	)	PUNCT
ejpam-4364	104	32	we	we	PRON
ejpam-4364	104	33	obtain	obtain	VERB
ejpam-4364	104	34	:	:	PUNCT
ejpam-4364	104	35	||dk+1||2	||dk+1||2	NUM
ejpam-4364	104	36	(	(	PUNCT
ejpam-4364	104	37	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-4364	104	38	)	)	PUNCT
ejpam-4364	104	39	2	2	NUM
ejpam-4364	104	40	≤	≤	NOUN
ejpam-4364	104	41	(	(	PUNCT
ejpam-4364	104	42	n||gk+1||2	n||gk+1||2	NOUN
ejpam-4364	104	43	(	(	PUNCT
ejpam-4364	104	44	δ	δ	PROPN
ejpam-4364	104	45	+	+	CCONJ
ejpam-4364	104	46	1	1	NUM
ejpam-4364	104	47	2	2	NUM
ejpam-4364	104	48	)	)	PUNCT
ejpam-4364	104	49	||gk||2	||gk||2	ADJ
ejpam-4364	104	50	)	)	PUNCT
ejpam-4364	104	51	2	2	NUM
ejpam-4364	104	52	||dk||2	||dk||2	NOUN
ejpam-4364	104	53	||gk+1||4	||gk+1||4	PRON
ejpam-4364	105	1	+	+	NOUN
ejpam-4364	105	2	1	1	NUM
ejpam-4364	105	3	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	105	4	=	=	PUNCT
ejpam-4364	105	5	n2||dk||2	n2||dk||2	PROPN
ejpam-4364	105	6	(	(	PUNCT
ejpam-4364	105	7	δ	δ	PROPN
ejpam-4364	105	8	+	+	CCONJ
ejpam-4364	105	9	1	1	NUM
ejpam-4364	105	10	2	2	NUM
ejpam-4364	105	11	)	)	SYM
ejpam-4364	105	12	2	2	NUM
ejpam-4364	105	13	||gk||4	||gk||4	NOUN
ejpam-4364	105	14	+	+	CCONJ
ejpam-4364	105	15	1	1	NUM
ejpam-4364	105	16	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	105	17	=	=	PUNCT
ejpam-4364	105	18	n2||dk||2	n2||dk||2	PROPN
ejpam-4364	105	19	(	(	PUNCT
ejpam-4364	105	20	δ	δ	PROPN
ejpam-4364	105	21	+	+	CCONJ
ejpam-4364	105	22	1	1	NUM
ejpam-4364	105	23	2	2	NUM
ejpam-4364	105	24	)	)	PUNCT
ejpam-4364	105	25	2	2	NUM
ejpam-4364	105	26	(	(	PUNCT
ejpam-4364	105	27	gtk	gtk	NOUN
ejpam-4364	105	28	dk	dk	NOUN
ejpam-4364	105	29	)	)	PUNCT
ejpam-4364	105	30	2	2	NUM
ejpam-4364	105	31	+	+	SYM
ejpam-4364	105	32	1	1	NUM
ejpam-4364	105	33	||gk+1||2	||gk+1||2	NOUN
ejpam-4364	105	34	(	(	PUNCT
ejpam-4364	105	35	28	28	NUM
ejpam-4364	105	36	)	)	PUNCT
ejpam-4364	105	37	a.	a.	NOUN
ejpam-4364	105	38	m.	m.	PROPN
ejpam-4364	105	39	qasim	qasim	PROPN
ejpam-4364	105	40	,	,	PUNCT
ejpam-4364	105	41	z.	z.	PROPN
ejpam-4364	105	42	f.	f.	PROPN
ejpam-4364	105	43	salih	salih	PROPN
ejpam-4364	105	44	/	/	SYM
ejpam-4364	105	45	eur	eur	PROPN
ejpam-4364	105	46	.	.	PUNCT
ejpam-4364	106	1	j.	j.	PROPN
ejpam-4364	106	2	pure	pure	PROPN
ejpam-4364	106	3	appl	appl	PROPN
ejpam-4364	106	4	.	.	PROPN
ejpam-4364	106	5	math	math	PROPN
ejpam-4364	106	6	,	,	PUNCT
ejpam-4364	106	7	15	15	NUM
ejpam-4364	106	8	(	(	PUNCT
ejpam-4364	106	9	2	2	NUM
ejpam-4364	106	10	)	)	PUNCT
ejpam-4364	106	11	(	(	PUNCT
ejpam-4364	106	12	2022	2022	NUM
ejpam-4364	106	13	)	)	PUNCT
ejpam-4364	106	14	,	,	PUNCT
ejpam-4364	106	15	784	784	NUM
ejpam-4364	106	16	-	-	SYM
ejpam-4364	106	17	795	795	NUM
ejpam-4364	106	18	790	790	NUM
ejpam-4364	106	19	since	since	SCONJ
ejpam-4364	106	20	that	that	PRON
ejpam-4364	106	21	:	:	PUNCT
ejpam-4364	106	22	||d1||2	||d1||2	PROPN
ejpam-4364	106	23	(	(	PUNCT
ejpam-4364	106	24	gt1	gt1	NOUN
ejpam-4364	106	25	d1	d1	NOUN
ejpam-4364	106	26	)	)	PUNCT
ejpam-4364	106	27	2	2	NUM
ejpam-4364	106	28	=	=	SYM
ejpam-4364	106	29	1	1	NUM
ejpam-4364	106	30	||g1||2	||g1||2	PROPN
ejpam-4364	106	31	(	(	PUNCT
ejpam-4364	106	32	29	29	NUM
ejpam-4364	106	33	)	)	PUNCT
ejpam-4364	106	34	from	from	ADP
ejpam-4364	106	35	this	this	PRON
ejpam-4364	106	36	and	and	CCONJ
ejpam-4364	106	37	||gk+1||	||gk+1||	NOUN
ejpam-4364	106	38	>	>	PUNCT
ejpam-4364	106	39	ε2	ε2	PROPN
ejpam-4364	106	40	∀k	∀k	NOUN
ejpam-4364	106	41	we	we	PRON
ejpam-4364	106	42	have	have	VERB
ejpam-4364	106	43	:	:	PUNCT
ejpam-4364	106	44	||dk+1||2	||dk+1||2	VERB
ejpam-4364	106	45	(	(	PUNCT
ejpam-4364	106	46	gtk+1dk+1	gtk+1dk+1	X
ejpam-4364	106	47	)	)	PUNCT
ejpam-4364	106	48	2	2	NUM
ejpam-4364	106	49	≤	≤	NUM
ejpam-4364	106	50	k+1∑	k+1∑	PROPN
ejpam-4364	106	51	i=1	i=1	PRON
ejpam-4364	106	52	1	1	NUM
ejpam-4364	106	53	(	(	PUNCT
ejpam-4364	106	54	δ	δ	PROPN
ejpam-4364	106	55	+	+	X
ejpam-4364	106	56	1/2)2||gi||2	1/2)2||gi||2	ADJ
ejpam-4364	106	57	≤	≤	PUNCT
ejpam-4364	107	1	k	k	PROPN
ejpam-4364	107	2	(	(	PUNCT
ejpam-4364	107	3	δ	δ	PROPN
ejpam-4364	107	4	+	+	X
ejpam-4364	107	5	1/2)2ε2	1/2)2ε2	NUM
ejpam-4364	107	6	∴	∴	NOUN
ejpam-4364	107	7	(	(	PUNCT
ejpam-4364	107	8	gtk+1dk+1	gtk+1dk+1	X
ejpam-4364	107	9	)	)	PUNCT
ejpam-4364	107	10	2	2	NUM
ejpam-4364	107	11	||dk+1||2	||dk+1||2	NUM
ejpam-4364	107	12	≥	≥	NUM
ejpam-4364	107	13	(	(	PUNCT
ejpam-4364	107	14	δ	δ	PROPN
ejpam-4364	107	15	+	+	X
ejpam-4364	107	16	1/2)2ε2	1/2)2ε2	NUM
ejpam-4364	107	17	k	k	NOUN
ejpam-4364	107	18	which	which	PRON
ejpam-4364	107	19	indicates	indicate	VERB
ejpam-4364	107	20	:	:	PUNCT
ejpam-4364	107	21	∞∑	∞∑	NUM
ejpam-4364	107	22	k=1	k=1	X
ejpam-4364	107	23	(	(	PUNCT
ejpam-4364	107	24	gtk+1dk+1	gtk+1dk+1	X
ejpam-4364	107	25	)	)	PUNCT
ejpam-4364	107	26	2	2	NUM
ejpam-4364	107	27	||dk+1||2	||dk+1||2	NUM
ejpam-4364	107	28	≥	≥	NOUN
ejpam-4364	107	29	∞∑	∞∑	NUM
ejpam-4364	107	30	k=1	k=1	X
ejpam-4364	108	1	(	(	PUNCT
ejpam-4364	108	2	δ	δ	NOUN
ejpam-4364	108	3	+	+	CCONJ
ejpam-4364	108	4	1	1	NUM
ejpam-4364	108	5	2	2	NUM
ejpam-4364	108	6	)	)	PUNCT
ejpam-4364	108	7	2	2	NUM
ejpam-4364	108	8	ε2	ε2	PROPN
ejpam-4364	108	9	k	k	NOUN
ejpam-4364	109	1	=	=	SYM
ejpam-4364	109	2	∞	∞	PROPN
ejpam-4364	109	3	(	(	PUNCT
ejpam-4364	109	4	30	30	NUM
ejpam-4364	109	5	)	)	PUNCT
ejpam-4364	109	6	and	and	CCONJ
ejpam-4364	109	7	this	this	PRON
ejpam-4364	109	8	is	be	AUX
ejpam-4364	109	9	in	in	ADP
ejpam-4364	109	10	direct	direct	ADJ
ejpam-4364	109	11	opposition	opposition	NOUN
ejpam-4364	109	12	to	to	ADP
ejpam-4364	109	13	the	the	DET
ejpam-4364	109	14	zoutendijk	zoutendijk	NOUN
ejpam-4364	109	15	condition	condition	NOUN
ejpam-4364	109	16	(	(	PUNCT
ejpam-4364	109	17	20	20	NUM
ejpam-4364	109	18	)	)	PUNCT
ejpam-4364	109	19	,	,	PUNCT
ejpam-4364	109	20	with	with	ADP
ejpam-4364	109	21	this	this	DET
ejpam-4364	109	22	contradiction	contradiction	NOUN
ejpam-4364	109	23	we	we	PRON
ejpam-4364	109	24	complete	complete	VERB
ejpam-4364	109	25	proof	proof	NOUN
ejpam-4364	109	26	.	.	PUNCT
ejpam-4364	110	1	4	4	X
ejpam-4364	110	2	.	.	NOUN
ejpam-4364	110	3	numerical	numerical	ADJ
ejpam-4364	110	4	experiments	experiment	NOUN
ejpam-4364	110	5	now	now	ADV
ejpam-4364	110	6	we	we	PRON
ejpam-4364	110	7	set	set	VERB
ejpam-4364	110	8	up	up	ADP
ejpam-4364	110	9	the	the	DET
ejpam-4364	110	10	numeral	numeral	ADJ
ejpam-4364	110	11	experiments	experiment	NOUN
ejpam-4364	110	12	,	,	PUNCT
ejpam-4364	110	13	compute	compute	VERB
ejpam-4364	110	14	and	and	CCONJ
ejpam-4364	110	15	make	make	VERB
ejpam-4364	110	16	a	a	DET
ejpam-4364	110	17	comparison	comparison	NOUN
ejpam-4364	110	18	between	between	ADP
ejpam-4364	110	19	our	our	PRON
ejpam-4364	110	20	method	method	NOUN
ejpam-4364	110	21	vs.	vs.	ADP
ejpam-4364	110	22	βfr	βfr	PROPN
ejpam-4364	110	23	k	k	PROPN
ejpam-4364	110	24	.	.	PUNCT
ejpam-4364	111	1	the	the	DET
ejpam-4364	111	2	comparison	comparison	NOUN
ejpam-4364	111	3	is	be	AUX
ejpam-4364	111	4	written	write	VERB
ejpam-4364	111	5	using	use	VERB
ejpam-4364	111	6	the	the	DET
ejpam-4364	111	7	fortran	fortran	ADJ
ejpam-4364	111	8	90	90	NUM
ejpam-4364	111	9	program	program	NOUN
ejpam-4364	111	10	,	,	PUNCT
ejpam-4364	111	11	and	and	CCONJ
ejpam-4364	111	12	the	the	DET
ejpam-4364	111	13	test	test	NOUN
ejpam-4364	111	14	function	function	NOUN
ejpam-4364	111	15	is	be	AUX
ejpam-4364	111	16	implemented	implement	VERB
ejpam-4364	111	17	using	use	VERB
ejpam-4364	111	18	the	the	DET
ejpam-4364	111	19	functions	function	NOUN
ejpam-4364	111	20	chosen	choose	VERB
ejpam-4364	111	21	from	from	ADP
ejpam-4364	111	22	andrei	andrei	NOUN
ejpam-4364	112	1	[	[	X
ejpam-4364	112	2	2	2	NUM
ejpam-4364	112	3	]	]	PUNCT
ejpam-4364	112	4	.	.	PUNCT
ejpam-4364	113	1	the	the	DET
ejpam-4364	113	2	measure	measure	NOUN
ejpam-4364	113	3	of	of	ADP
ejpam-4364	113	4	stooping	stoop	VERB
ejpam-4364	113	5	the	the	DET
ejpam-4364	113	6	algorithm	algorithm	NOUN
ejpam-4364	113	7	is	be	AUX
ejpam-4364	113	8	denoted	denote	VERB
ejpam-4364	113	9	as	as	ADP
ejpam-4364	113	10	||gk+1||	||gk+1||	PROPN
ejpam-4364	113	11	≤	≤	PROPN
ejpam-4364	113	12	10−6	10−6	NUM
ejpam-4364	113	13	,	,	PUNCT
ejpam-4364	113	14	we	we	PRON
ejpam-4364	113	15	use	use	VERB
ejpam-4364	113	16	27	27	NUM
ejpam-4364	113	17	test	test	NOUN
ejpam-4364	113	18	problems	problem	NOUN
ejpam-4364	113	19	with	with	ADP
ejpam-4364	113	20	different	different	ADJ
ejpam-4364	113	21	dimensions	dimension	NOUN
ejpam-4364	113	22	to	to	PART
ejpam-4364	113	23	experiment	experiment	VERB
ejpam-4364	113	24	with	with	ADP
ejpam-4364	113	25	the	the	DET
ejpam-4364	113	26	execution	execution	NOUN
ejpam-4364	113	27	of	of	ADP
ejpam-4364	113	28	the	the	DET
ejpam-4364	113	29	new	new	ADJ
ejpam-4364	113	30	method	method	NOUN
ejpam-4364	113	31	.	.	PUNCT
ejpam-4364	114	1	table	table	NOUN
ejpam-4364	114	2	1	1	NUM
ejpam-4364	114	3	shows	show	VERB
ejpam-4364	114	4	the	the	DET
ejpam-4364	114	5	calculation	calculation	NOUN
ejpam-4364	114	6	result	result	NOUN
ejpam-4364	114	7	,	,	PUNCT
ejpam-4364	114	8	with	with	ADP
ejpam-4364	114	9	noi	noi	PROPN
ejpam-4364	114	10	,	,	PUNCT
ejpam-4364	114	11	nor	nor	CCONJ
ejpam-4364	114	12	,	,	PUNCT
ejpam-4364	114	13	and	and	CCONJ
ejpam-4364	114	14	nof	nof	NOUN
ejpam-4364	114	15	which	which	PRON
ejpam-4364	114	16	stand	stand	VERB
ejpam-4364	114	17	for	for	ADP
ejpam-4364	114	18	the	the	DET
ejpam-4364	114	19	amount	amount	NOUN
ejpam-4364	114	20	of	of	ADP
ejpam-4364	114	21	iterations	iteration	NOUN
ejpam-4364	114	22	total	total	ADJ
ejpam-4364	114	23	,	,	PUNCT
ejpam-4364	114	24	restart	restart	NOUN
ejpam-4364	114	25	,	,	PUNCT
ejpam-4364	114	26	and	and	CCONJ
ejpam-4364	114	27	function	function	NOUN
ejpam-4364	114	28	evaluation	evaluation	NOUN
ejpam-4364	114	29	,	,	PUNCT
ejpam-4364	114	30	respectively	respectively	ADV
ejpam-4364	114	31	.	.	PUNCT
ejpam-4364	115	1	while	while	SCONJ
ejpam-4364	115	2	table	table	NOUN
ejpam-4364	115	3	2	2	NUM
ejpam-4364	115	4	explains	explain	VERB
ejpam-4364	115	5	the	the	DET
ejpam-4364	115	6	execution	execution	NOUN
ejpam-4364	115	7	percentage	percentage	NOUN
ejpam-4364	115	8	of	of	ADP
ejpam-4364	115	9	the	the	DET
ejpam-4364	115	10	new	new	ADJ
ejpam-4364	115	11	method	method	NOUN
ejpam-4364	115	12	opposite	opposite	ADJ
ejpam-4364	115	13	fr	fr	ADJ
ejpam-4364	115	14	method	method	NOUN
ejpam-4364	115	15	,	,	PUNCT
ejpam-4364	115	16	also	also	ADV
ejpam-4364	115	17	the	the	DET
ejpam-4364	115	18	execution	execution	NOUN
ejpam-4364	115	19	was	be	AUX
ejpam-4364	115	20	analyzed	analyze	VERB
ejpam-4364	115	21	by	by	ADP
ejpam-4364	115	22	the	the	DET
ejpam-4364	115	23	performance	performance	NOUN
ejpam-4364	115	24	profile	profile	NOUN
ejpam-4364	115	25	software	software	NOUN
ejpam-4364	115	26	which	which	PRON
ejpam-4364	115	27	is	be	AUX
ejpam-4364	115	28	developed	develop	VERB
ejpam-4364	115	29	by	by	ADP
ejpam-4364	115	30	dolan	dolan	PROPN
ejpam-4364	115	31	and	and	CCONJ
ejpam-4364	115	32	mor’e	mor’e	PRON
ejpam-4364	116	1	[	[	X
ejpam-4364	116	2	9	9	NUM
ejpam-4364	116	3	]	]	PUNCT
ejpam-4364	116	4	which	which	PRON
ejpam-4364	116	5	are	be	AUX
ejpam-4364	116	6	seen	see	VERB
ejpam-4364	116	7	in	in	ADP
ejpam-4364	116	8	figures	figure	NOUN
ejpam-4364	116	9	1	1	NUM
ejpam-4364	116	10	,	,	PUNCT
ejpam-4364	116	11	2	2	NUM
ejpam-4364	116	12	,	,	PUNCT
ejpam-4364	116	13	3	3	NUM
ejpam-4364	116	14	.	.	X
ejpam-4364	116	15	figure	figure	NOUN
ejpam-4364	116	16	1	1	NUM
ejpam-4364	116	17	:	:	PUNCT
ejpam-4364	116	18	the	the	DET
ejpam-4364	116	19	performance	performance	NOUN
ejpam-4364	116	20	profile	profile	NOUN
ejpam-4364	116	21	of	of	ADP
ejpam-4364	116	22	iteration	iteration	NOUN
ejpam-4364	116	23	.	.	PUNCT
ejpam-4364	117	1	a.	a.	PROPN
ejpam-4364	117	2	m.	m.	PROPN
ejpam-4364	117	3	qasim	qasim	PROPN
ejpam-4364	117	4	,	,	PUNCT
ejpam-4364	117	5	z.	z.	PROPN
ejpam-4364	117	6	f.	f.	PROPN
ejpam-4364	117	7	salih	salih	PROPN
ejpam-4364	117	8	/	/	SYM
ejpam-4364	117	9	eur	eur	PROPN
ejpam-4364	117	10	.	.	PUNCT
ejpam-4364	118	1	j.	j.	PROPN
ejpam-4364	118	2	pure	pure	PROPN
ejpam-4364	118	3	appl	appl	PROPN
ejpam-4364	118	4	.	.	PROPN
ejpam-4364	118	5	math	math	PROPN
ejpam-4364	118	6	,	,	PUNCT
ejpam-4364	118	7	15	15	NUM
ejpam-4364	118	8	(	(	PUNCT
ejpam-4364	118	9	2	2	NUM
ejpam-4364	118	10	)	)	PUNCT
ejpam-4364	118	11	(	(	PUNCT
ejpam-4364	118	12	2022	2022	NUM
ejpam-4364	118	13	)	)	PUNCT
ejpam-4364	118	14	,	,	PUNCT
ejpam-4364	118	15	784	784	NUM
ejpam-4364	118	16	-	-	SYM
ejpam-4364	118	17	795	795	NUM
ejpam-4364	118	18	791	791	NUM
ejpam-4364	118	19	figure	figure	NOUN
ejpam-4364	118	20	2	2	NUM
ejpam-4364	118	21	:	:	PUNCT
ejpam-4364	118	22	the	the	DET
ejpam-4364	118	23	performance	performance	NOUN
ejpam-4364	118	24	profile	profile	NOUN
ejpam-4364	118	25	of	of	ADP
ejpam-4364	118	26	function	function	NOUN
ejpam-4364	118	27	evaluation	evaluation	NOUN
ejpam-4364	118	28	.	.	PUNCT
ejpam-4364	119	1	figure	figure	NOUN
ejpam-4364	119	2	3	3	NUM
ejpam-4364	119	3	:	:	PUNCT
ejpam-4364	119	4	the	the	DET
ejpam-4364	119	5	performance	performance	NOUN
ejpam-4364	119	6	profile	profile	NOUN
ejpam-4364	119	7	of	of	ADP
ejpam-4364	119	8	restart	restart	NOUN
ejpam-4364	119	9	.	.	PUNCT
ejpam-4364	120	1	a.	a.	PROPN
ejpam-4364	120	2	m.	m.	PROPN
ejpam-4364	120	3	qasim	qasim	PROPN
ejpam-4364	120	4	,	,	PUNCT
ejpam-4364	120	5	z.	z.	PROPN
ejpam-4364	120	6	f.	f.	PROPN
ejpam-4364	120	7	salih	salih	PROPN
ejpam-4364	120	8	/	/	SYM
ejpam-4364	120	9	eur	eur	PROPN
ejpam-4364	120	10	.	.	PUNCT
ejpam-4364	121	1	j.	j.	PROPN
ejpam-4364	121	2	pure	pure	PROPN
ejpam-4364	121	3	appl	appl	PROPN
ejpam-4364	121	4	.	.	PROPN
ejpam-4364	121	5	math	math	PROPN
ejpam-4364	121	6	,	,	PUNCT
ejpam-4364	121	7	15	15	NUM
ejpam-4364	121	8	(	(	PUNCT
ejpam-4364	121	9	2	2	NUM
ejpam-4364	121	10	)	)	PUNCT
ejpam-4364	121	11	(	(	PUNCT
ejpam-4364	121	12	2022	2022	NUM
ejpam-4364	121	13	)	)	PUNCT
ejpam-4364	121	14	,	,	PUNCT
ejpam-4364	121	15	784	784	NUM
ejpam-4364	121	16	-	-	SYM
ejpam-4364	121	17	795	795	NUM
ejpam-4364	121	18	792	792	NUM
ejpam-4364	121	19	test	test	NOUN
ejpam-4364	121	20	problem	problem	NOUN
ejpam-4364	121	21	dim	dim	ADJ
ejpam-4364	121	22	nn	nn	PROPN
ejpam-4364	121	23	fr	fr	PROPN
ejpam-4364	121	24	noi	noi	PROPN
ejpam-4364	121	25	nor	nor	CCONJ
ejpam-4364	121	26	nof	nof	PROPN
ejpam-4364	121	27	noi	noi	PROPN
ejpam-4364	121	28	nor	nor	CCONJ
ejpam-4364	121	29	nof	nof	PROPN
ejpam-4364	121	30	trigonometric	trigonometric	NOUN
ejpam-4364	121	31	100	100	NUM
ejpam-4364	121	32	20	20	NUM
ejpam-4364	121	33	11	11	NUM
ejpam-4364	121	34	37	37	NUM
ejpam-4364	121	35	18	18	NUM
ejpam-4364	121	36	10	10	NUM
ejpam-4364	121	37	34	34	NUM
ejpam-4364	121	38	1000	1000	NUM
ejpam-4364	121	39	33	33	NUM
ejpam-4364	121	40	19	19	NUM
ejpam-4364	121	41	63	63	NUM
ejpam-4364	121	42	40	40	NUM
ejpam-4364	121	43	24	24	NUM
ejpam-4364	121	44	69	69	NUM
ejpam-4364	121	45	penalty	penalty	NOUN
ejpam-4364	121	46	100	100	NUM
ejpam-4364	121	47	9	9	NUM
ejpam-4364	121	48	6	6	NUM
ejpam-4364	121	49	25	25	NUM
ejpam-4364	121	50	11	11	NUM
ejpam-4364	121	51	6	6	NUM
ejpam-4364	121	52	28	28	NUM
ejpam-4364	121	53	1000	1000	NUM
ejpam-4364	121	54	51	51	NUM
ejpam-4364	121	55	43	43	NUM
ejpam-4364	121	56	959	959	NUM
ejpam-4364	121	57	210	210	NUM
ejpam-4364	121	58	202	202	NUM
ejpam-4364	121	59	6193	6193	NUM
ejpam-4364	121	60	perturbed	perturb	VERB
ejpam-4364	121	61	quadratic	quadratic	ADJ
ejpam-4364	121	62	100	100	NUM
ejpam-4364	121	63	102	102	NUM
ejpam-4364	121	64	35	35	NUM
ejpam-4364	121	65	156	156	NUM
ejpam-4364	121	66	102	102	NUM
ejpam-4364	121	67	31	31	NUM
ejpam-4364	121	68	156	156	NUM
ejpam-4364	121	69	1000	1000	NUM
ejpam-4364	121	70	340	340	NUM
ejpam-4364	121	71	95	95	NUM
ejpam-4364	121	72	559	559	NUM
ejpam-4364	121	73	325	325	NUM
ejpam-4364	121	74	111	111	NUM
ejpam-4364	121	75	494	494	NUM
ejpam-4364	121	76	raydan	raydan	NOUN
ejpam-4364	121	77	2	2	NUM
ejpam-4364	121	78	100	100	NUM
ejpam-4364	121	79	4	4	NUM
ejpam-4364	121	80	4	4	NUM
ejpam-4364	121	81	9	9	NUM
ejpam-4364	121	82	4	4	NUM
ejpam-4364	121	83	4	4	NUM
ejpam-4364	121	84	9	9	NUM
ejpam-4364	121	85	1000	1000	NUM
ejpam-4364	121	86	4	4	NUM
ejpam-4364	121	87	4	4	NUM
ejpam-4364	121	88	9	9	NUM
ejpam-4364	121	89	4	4	NUM
ejpam-4364	121	90	4	4	NUM
ejpam-4364	121	91	9	9	NUM
ejpam-4364	121	92	diagonal	diagonal	ADJ
ejpam-4364	121	93	2	2	NUM
ejpam-4364	121	94	100	100	NUM
ejpam-4364	121	95	61	61	NUM
ejpam-4364	121	96	18	18	NUM
ejpam-4364	121	97	105	105	NUM
ejpam-4364	121	98	70	70	NUM
ejpam-4364	121	99	24	24	NUM
ejpam-4364	121	100	113	113	NUM
ejpam-4364	121	101	1000	1000	NUM
ejpam-4364	121	102	221	221	NUM
ejpam-4364	121	103	74	74	NUM
ejpam-4364	121	104	377	377	NUM
ejpam-4364	121	105	211	211	NUM
ejpam-4364	121	106	74	74	NUM
ejpam-4364	121	107	351	351	NUM
ejpam-4364	121	108	generalized	generalized	ADJ
ejpam-4364	121	109	tridiagonal	tridiagonal	ADJ
ejpam-4364	121	110	1	1	NUM
ejpam-4364	121	111	100	100	NUM
ejpam-4364	121	112	23	23	NUM
ejpam-4364	121	113	7	7	NUM
ejpam-4364	121	114	46	46	NUM
ejpam-4364	121	115	22	22	NUM
ejpam-4364	121	116	6	6	NUM
ejpam-4364	121	117	44	44	NUM
ejpam-4364	121	118	1000	1000	NUM
ejpam-4364	121	119	32	32	NUM
ejpam-4364	121	120	17	17	NUM
ejpam-4364	121	121	263	263	NUM
ejpam-4364	121	122	49	49	NUM
ejpam-4364	121	123	29	29	NUM
ejpam-4364	121	124	758	758	NUM
ejpam-4364	121	125	extended	extended	ADJ
ejpam-4364	121	126	tridiagonal	tridiagonal	ADJ
ejpam-4364	121	127	1	1	NUM
ejpam-4364	121	128	100	100	NUM
ejpam-4364	121	129	11	11	NUM
ejpam-4364	121	130	6	6	NUM
ejpam-4364	121	131	23	23	NUM
ejpam-4364	121	132	10	10	NUM
ejpam-4364	121	133	5	5	NUM
ejpam-4364	121	134	21	21	NUM
ejpam-4364	121	135	1000	1000	NUM
ejpam-4364	121	136	13	13	NUM
ejpam-4364	121	137	7	7	NUM
ejpam-4364	121	138	26	26	NUM
ejpam-4364	121	139	13	13	NUM
ejpam-4364	121	140	7	7	NUM
ejpam-4364	121	141	26	26	NUM
ejpam-4364	121	142	generalized	generalized	ADJ
ejpam-4364	121	143	tridiagonal	tridiagonal	ADJ
ejpam-4364	121	144	2	2	NUM
ejpam-4364	121	145	100	100	NUM
ejpam-4364	121	146	42	42	NUM
ejpam-4364	121	147	17	17	NUM
ejpam-4364	121	148	64	64	NUM
ejpam-4364	121	149	37	37	NUM
ejpam-4364	121	150	11	11	NUM
ejpam-4364	121	151	59	59	NUM
ejpam-4364	121	152	1000	1000	NUM
ejpam-4364	121	153	62	62	NUM
ejpam-4364	121	154	25	25	NUM
ejpam-4364	121	155	107	107	NUM
ejpam-4364	121	156	67	67	NUM
ejpam-4364	121	157	28	28	NUM
ejpam-4364	121	158	102	102	NUM
ejpam-4364	121	159	diagonal	diagonal	ADJ
ejpam-4364	121	160	4	4	NUM
ejpam-4364	121	161	100	100	NUM
ejpam-4364	121	162	4	4	NUM
ejpam-4364	121	163	2	2	NUM
ejpam-4364	121	164	8	8	NUM
ejpam-4364	121	165	4	4	NUM
ejpam-4364	121	166	2	2	NUM
ejpam-4364	121	167	8	8	NUM
ejpam-4364	121	168	1000	1000	NUM
ejpam-4364	121	169	4	4	NUM
ejpam-4364	121	170	2	2	NUM
ejpam-4364	121	171	8	8	NUM
ejpam-4364	121	172	4	4	NUM
ejpam-4364	121	173	2	2	NUM
ejpam-4364	121	174	8	8	NUM
ejpam-4364	121	175	diagonal	diagonal	ADJ
ejpam-4364	121	176	5	5	NUM
ejpam-4364	121	177	100	100	NUM
ejpam-4364	121	178	4	4	NUM
ejpam-4364	121	179	4	4	NUM
ejpam-4364	121	180	9	9	NUM
ejpam-4364	121	181	4	4	NUM
ejpam-4364	121	182	4	4	NUM
ejpam-4364	121	183	9	9	NUM
ejpam-4364	121	184	1000	1000	NUM
ejpam-4364	121	185	4	4	NUM
ejpam-4364	121	186	4	4	NUM
ejpam-4364	121	187	9	9	NUM
ejpam-4364	121	188	4	4	NUM
ejpam-4364	121	189	4	4	NUM
ejpam-4364	121	190	9	9	NUM
ejpam-4364	121	191	extended	extend	VERB
ejpam-4364	121	192	himmelblau	himmelblau	NOUN
ejpam-4364	121	193	100	100	NUM
ejpam-4364	121	194	22	22	NUM
ejpam-4364	121	195	11	11	NUM
ejpam-4364	121	196	38	38	NUM
ejpam-4364	121	197	10	10	NUM
ejpam-4364	121	198	6	6	NUM
ejpam-4364	121	199	19	19	NUM
ejpam-4364	121	200	1000	1000	NUM
ejpam-4364	121	201	12	12	NUM
ejpam-4364	121	202	6	6	NUM
ejpam-4364	121	203	23	23	NUM
ejpam-4364	121	204	22	22	NUM
ejpam-4364	121	205	12	12	NUM
ejpam-4364	121	206	35	35	NUM
ejpam-4364	121	207	extended	extended	ADJ
ejpam-4364	121	208	psc1	psc1	NOUN
ejpam-4364	121	209	100	100	NUM
ejpam-4364	121	210	8	8	NUM
ejpam-4364	121	211	6	6	NUM
ejpam-4364	121	212	17	17	NUM
ejpam-4364	121	213	8	8	NUM
ejpam-4364	121	214	6	6	NUM
ejpam-4364	121	215	17	17	NUM
ejpam-4364	121	216	1000	1000	NUM
ejpam-4364	121	217	7	7	NUM
ejpam-4364	121	218	5	5	NUM
ejpam-4364	121	219	15	15	NUM
ejpam-4364	121	220	7	7	NUM
ejpam-4364	121	221	5	5	NUM
ejpam-4364	121	222	15	15	NUM
ejpam-4364	121	223	extended	extend	VERB
ejpam-4364	121	224	powell	powell	NOUN
ejpam-4364	121	225	100	100	NUM
ejpam-4364	121	226	69	69	NUM
ejpam-4364	121	227	20	20	NUM
ejpam-4364	121	228	129	129	NUM
ejpam-4364	121	229	66	66	NUM
ejpam-4364	121	230	22	22	NUM
ejpam-4364	121	231	127	127	NUM
ejpam-4364	121	232	1000	1000	NUM
ejpam-4364	121	233	100	100	NUM
ejpam-4364	121	234	31	31	NUM
ejpam-4364	121	235	232	232	NUM
ejpam-4364	121	236	89	89	NUM
ejpam-4364	121	237	31	31	NUM
ejpam-4364	121	238	167	167	NUM
ejpam-4364	121	239	extended	extended	ADJ
ejpam-4364	121	240	bd1	bd1	NOUN
ejpam-4364	121	241	100	100	NUM
ejpam-4364	121	242	63	63	NUM
ejpam-4364	121	243	63	63	NUM
ejpam-4364	121	244	98	98	NUM
ejpam-4364	121	245	63	63	NUM
ejpam-4364	121	246	63	63	NUM
ejpam-4364	121	247	98	98	NUM
ejpam-4364	121	248	1000	1000	NUM
ejpam-4364	121	249	67	67	NUM
ejpam-4364	121	250	67	67	NUM
ejpam-4364	121	251	105	105	NUM
ejpam-4364	121	252	67	67	NUM
ejpam-4364	121	253	67	67	NUM
ejpam-4364	121	254	105	105	NUM
ejpam-4364	121	255	quadratic	quadratic	ADJ
ejpam-4364	121	256	diagonal	diagonal	NOUN
ejpam-4364	121	257	perturbed	perturb	VERB
ejpam-4364	121	258	100	100	NUM
ejpam-4364	121	259	73	73	NUM
ejpam-4364	121	260	9	9	NUM
ejpam-4364	121	261	128	128	NUM
ejpam-4364	121	262	52	52	NUM
ejpam-4364	121	263	11	11	NUM
ejpam-4364	121	264	89	89	NUM
ejpam-4364	121	265	1000	1000	NUM
ejpam-4364	121	266	151	151	NUM
ejpam-4364	121	267	31	31	NUM
ejpam-4364	121	268	268	268	NUM
ejpam-4364	121	269	181	181	NUM
ejpam-4364	121	270	39	39	NUM
ejpam-4364	121	271	321	321	NUM
ejpam-4364	121	272	extended	extend	VERB
ejpam-4364	121	273	wood	wood	NOUN
ejpam-4364	121	274	woods	wood	NOUN
ejpam-4364	121	275	100	100	NUM
ejpam-4364	121	276	32	32	NUM
ejpam-4364	121	277	13	13	NUM
ejpam-4364	121	278	60	60	NUM
ejpam-4364	121	279	25	25	NUM
ejpam-4364	121	280	9	9	NUM
ejpam-4364	121	281	48	48	NUM
ejpam-4364	121	282	1000	1000	NUM
ejpam-4364	121	283	46	46	NUM
ejpam-4364	121	284	16	16	NUM
ejpam-4364	121	285	83	83	NUM
ejpam-4364	121	286	30	30	NUM
ejpam-4364	121	287	13	13	NUM
ejpam-4364	121	288	55	55	NUM
ejpam-4364	121	289	quadratic	quadratic	ADJ
ejpam-4364	121	290	qf1	qf1	ADJ
ejpam-4364	121	291	100	100	NUM
ejpam-4364	121	292	95	95	NUM
ejpam-4364	121	293	30	30	NUM
ejpam-4364	121	294	153	153	NUM
ejpam-4364	121	295	85	85	NUM
ejpam-4364	121	296	22	22	NUM
ejpam-4364	121	297	134	134	NUM
ejpam-4364	121	298	1000	1000	NUM
ejpam-4364	121	299	364	364	NUM
ejpam-4364	121	300	111	111	NUM
ejpam-4364	121	301	588	588	NUM
ejpam-4364	121	302	362	362	NUM
ejpam-4364	121	303	101	101	NUM
ejpam-4364	121	304	568	568	NUM
ejpam-4364	121	305	extended	extend	VERB
ejpam-4364	121	306	ep1	ep1	NOUN
ejpam-4364	121	307	100	100	NUM
ejpam-4364	121	308	2	2	NUM
ejpam-4364	121	309	2	2	NUM
ejpam-4364	121	310	5	5	NUM
ejpam-4364	121	311	2	2	NUM
ejpam-4364	121	312	2	2	NUM
ejpam-4364	121	313	5	5	NUM
ejpam-4364	121	314	1000	1000	NUM
ejpam-4364	121	315	2	2	NUM
ejpam-4364	121	316	2	2	NUM
ejpam-4364	121	317	5	5	NUM
ejpam-4364	121	318	2	2	NUM
ejpam-4364	121	319	2	2	NUM
ejpam-4364	121	320	5	5	NUM
ejpam-4364	121	321	extended	extended	ADJ
ejpam-4364	121	322	tridiagonal	tridiagonal	ADJ
ejpam-4364	121	323	2	2	NUM
ejpam-4364	121	324	100	100	NUM
ejpam-4364	121	325	39	39	NUM
ejpam-4364	121	326	15	15	NUM
ejpam-4364	121	327	63	63	NUM
ejpam-4364	121	328	36	36	NUM
ejpam-4364	121	329	12	12	NUM
ejpam-4364	121	330	57	57	NUM
ejpam-4364	121	331	1000	1000	NUM
ejpam-4364	121	332	42	42	NUM
ejpam-4364	121	333	18	18	NUM
ejpam-4364	121	334	64	64	NUM
ejpam-4364	121	335	40	40	NUM
ejpam-4364	121	336	17	17	NUM
ejpam-4364	121	337	64	64	NUM
ejpam-4364	121	338	nondia	nondia	NOUN
ejpam-4364	121	339	100	100	NUM
ejpam-4364	121	340	12	12	NUM
ejpam-4364	121	341	8	8	NUM
ejpam-4364	121	342	23	23	NUM
ejpam-4364	121	343	15	15	NUM
ejpam-4364	121	344	8	8	NUM
ejpam-4364	121	345	30	30	NUM
ejpam-4364	121	346	1000	1000	NUM
ejpam-4364	121	347	12	12	NUM
ejpam-4364	121	348	7	7	NUM
ejpam-4364	121	349	25	25	NUM
ejpam-4364	121	350	9	9	NUM
ejpam-4364	121	351	6	6	NUM
ejpam-4364	121	352	19	19	NUM
ejpam-4364	121	353	dqdrtic	dqdrtic	ADJ
ejpam-4364	121	354	100	100	NUM
ejpam-4364	121	355	8	8	NUM
ejpam-4364	121	356	1	1	NUM
ejpam-4364	121	357	17	17	NUM
ejpam-4364	121	358	6	6	NUM
ejpam-4364	121	359	1	1	NUM
ejpam-4364	121	360	13	13	NUM
ejpam-4364	121	361	1000	1000	NUM
ejpam-4364	121	362	11	11	NUM
ejpam-4364	121	363	0	0	NUM
ejpam-4364	121	364	23	23	NUM
ejpam-4364	121	365	7	7	NUM
ejpam-4364	121	366	1	1	NUM
ejpam-4364	121	367	15	15	NUM
ejpam-4364	121	368	dixmaana	dixmaana	NOUN
ejpam-4364	121	369	100	100	NUM
ejpam-4364	121	370	7	7	NUM
ejpam-4364	121	371	7	7	NUM
ejpam-4364	121	372	14	14	NUM
ejpam-4364	121	373	7	7	NUM
ejpam-4364	121	374	7	7	NUM
ejpam-4364	121	375	14	14	NUM
ejpam-4364	121	376	1000	1000	NUM
ejpam-4364	121	377	7	7	NUM
ejpam-4364	121	378	3	3	NUM
ejpam-4364	121	379	14	14	NUM
ejpam-4364	121	380	7	7	NUM
ejpam-4364	121	381	5	5	NUM
ejpam-4364	121	382	14	14	NUM
ejpam-4364	121	383	dizmaanb	dizmaanb	PROPN
ejpam-4364	121	384	100	100	NUM
ejpam-4364	121	385	10	10	NUM
ejpam-4364	121	386	10	10	NUM
ejpam-4364	121	387	18	18	NUM
ejpam-4364	121	388	10	10	NUM
ejpam-4364	121	389	10	10	NUM
ejpam-4364	121	390	18	18	NUM
ejpam-4364	121	391	1000	1000	NUM
ejpam-4364	121	392	11	11	NUM
ejpam-4364	121	393	11	11	NUM
ejpam-4364	121	394	19	19	NUM
ejpam-4364	121	395	11	11	NUM
ejpam-4364	121	396	11	11	NUM
ejpam-4364	121	397	19	19	NUM
ejpam-4364	121	398	dixmaanc	dixmaanc	NOUN
ejpam-4364	121	399	100	100	NUM
ejpam-4364	121	400	13	13	NUM
ejpam-4364	121	401	13	13	NUM
ejpam-4364	121	402	24	24	NUM
ejpam-4364	121	403	13	13	NUM
ejpam-4364	121	404	13	13	NUM
ejpam-4364	121	405	24	24	NUM
ejpam-4364	121	406	1000	1000	NUM
ejpam-4364	121	407	14	14	NUM
ejpam-4364	121	408	14	14	NUM
ejpam-4364	121	409	25	25	NUM
ejpam-4364	121	410	14	14	NUM
ejpam-4364	121	411	14	14	NUM
ejpam-4364	121	412	25	25	NUM
ejpam-4364	121	413	dixmaane	dixmaane	NOUN
ejpam-4364	121	414	100	100	NUM
ejpam-4364	121	415	79	79	NUM
ejpam-4364	121	416	28	28	NUM
ejpam-4364	121	417	119	119	NUM
ejpam-4364	121	418	82	82	NUM
ejpam-4364	121	419	27	27	NUM
ejpam-4364	121	420	126	126	NUM
ejpam-4364	121	421	1000	1000	NUM
ejpam-4364	121	422	216	216	NUM
ejpam-4364	121	423	67	67	NUM
ejpam-4364	121	424	344	344	NUM
ejpam-4364	121	425	239	239	NUM
ejpam-4364	121	426	60	60	NUM
ejpam-4364	121	427	378	378	NUM
ejpam-4364	121	428	partial	partial	ADJ
ejpam-4364	121	429	perturbed	perturb	VERB
ejpam-4364	121	430	quadratic	quadratic	ADJ
ejpam-4364	121	431	100	100	NUM
ejpam-4364	121	432	85	85	NUM
ejpam-4364	121	433	26	26	NUM
ejpam-4364	121	434	135	135	NUM
ejpam-4364	121	435	77	77	NUM
ejpam-4364	121	436	26	26	NUM
ejpam-4364	121	437	120	120	NUM
ejpam-4364	121	438	1000	1000	NUM
ejpam-4364	121	439	250	250	NUM
ejpam-4364	121	440	65	65	NUM
ejpam-4364	121	441	410	410	NUM
ejpam-4364	121	442	249	249	NUM
ejpam-4364	121	443	68	68	NUM
ejpam-4364	121	444	412	412	NUM
ejpam-4364	121	445	broyden	broyden	ADJ
ejpam-4364	121	446	tridiagonal	tridiagonal	ADJ
ejpam-4364	121	447	100	100	NUM
ejpam-4364	121	448	38	38	NUM
ejpam-4364	121	449	16	16	NUM
ejpam-4364	121	450	58	58	NUM
ejpam-4364	121	451	30	30	NUM
ejpam-4364	121	452	10	10	NUM
ejpam-4364	121	453	48	48	NUM
ejpam-4364	121	454	1000	1000	NUM
ejpam-4364	121	455	40	40	NUM
ejpam-4364	121	456	17	17	NUM
ejpam-4364	121	457	68	68	NUM
ejpam-4364	121	458	33	33	NUM
ejpam-4364	121	459	8	8	NUM
ejpam-4364	121	460	63	63	NUM
ejpam-4364	121	461	total	total	NOUN
ejpam-4364	121	462	3051	3051	NUM
ejpam-4364	121	463	1149	1149	NUM
ejpam-4364	121	464	6272	6272	NUM
ejpam-4364	121	465	3165	3165	NUM
ejpam-4364	121	466	1303	1303	NUM
ejpam-4364	121	467	11767	11767	NUM
ejpam-4364	121	468	table	table	NOUN
ejpam-4364	121	469	1	1	NUM
ejpam-4364	121	470	:	:	PUNCT
ejpam-4364	121	471	results	result	NOUN
ejpam-4364	121	472	for	for	ADP
ejpam-4364	121	473	the	the	DET
ejpam-4364	121	474	nn	nn	PROPN
ejpam-4364	121	475	and	and	CCONJ
ejpam-4364	122	1	fr	fr	PROPN
ejpam-4364	122	2	algorithm	algorithm	NOUN
ejpam-4364	122	3	references	reference	VERB
ejpam-4364	122	4	793	793	NUM
ejpam-4364	122	5	fr	fr	PROPN
ejpam-4364	122	6	nn	nn	PROPN
ejpam-4364	122	7	noi	noi	PROPN
ejpam-4364	122	8	100	100	NUM
ejpam-4364	122	9	%	%	NOUN
ejpam-4364	122	10	96.398	96.398	NUM
ejpam-4364	122	11	%	%	NOUN
ejpam-4364	122	12	nor	nor	CCONJ
ejpam-4364	122	13	100	100	NUM
ejpam-4364	122	14	%	%	NOUN
ejpam-4364	122	15	88.18	88.18	NUM
ejpam-4364	122	16	%	%	NOUN
ejpam-4364	122	17	nof	nof	NOUN
ejpam-4364	122	18	100	100	NUM
ejpam-4364	122	19	%	%	NOUN
ejpam-4364	122	20	53.30	53.30	NUM
ejpam-4364	122	21	%	%	NOUN
ejpam-4364	122	22	table	table	NOUN
ejpam-4364	122	23	2	2	NUM
ejpam-4364	122	24	:	:	PUNCT
ejpam-4364	122	25	efficiency	efficiency	NOUN
ejpam-4364	122	26	of	of	ADP
ejpam-4364	122	27	the	the	DET
ejpam-4364	122	28	nn	nn	PROPN
ejpam-4364	122	29	method	method	NOUN
ejpam-4364	122	30	5	5	NUM
ejpam-4364	122	31	.	.	PUNCT
ejpam-4364	122	32	conclusion	conclusion	NOUN
ejpam-4364	122	33	in	in	ADP
ejpam-4364	122	34	this	this	DET
ejpam-4364	122	35	paper	paper	NOUN
ejpam-4364	122	36	,	,	PUNCT
ejpam-4364	122	37	we	we	PRON
ejpam-4364	122	38	searched	search	VERB
ejpam-4364	122	39	for	for	ADP
ejpam-4364	122	40	a	a	DET
ejpam-4364	122	41	new	new	ADJ
ejpam-4364	122	42	conjugate	conjugate	ADJ
ejpam-4364	122	43	gradient	gradient	NOUN
ejpam-4364	122	44	method	method	NOUN
ejpam-4364	122	45	that	that	PRON
ejpam-4364	122	46	depends	depend	VERB
ejpam-4364	122	47	on	on	ADP
ejpam-4364	122	48	the	the	DET
ejpam-4364	122	49	spectral	spectral	ADJ
ejpam-4364	122	50	strategy	strategy	NOUN
ejpam-4364	122	51	.	.	PUNCT
ejpam-4364	123	1	we	we	PRON
ejpam-4364	123	2	established	establish	VERB
ejpam-4364	123	3	,	,	PUNCT
ejpam-4364	123	4	under	under	ADP
ejpam-4364	123	5	acceptable	acceptable	ADJ
ejpam-4364	123	6	assumptions	assumption	NOUN
ejpam-4364	123	7	,	,	PUNCT
ejpam-4364	123	8	that	that	SCONJ
ejpam-4364	123	9	the	the	DET
ejpam-4364	123	10	global	global	ADJ
ejpam-4364	123	11	convergence	convergence	NOUN
ejpam-4364	123	12	for	for	ADP
ejpam-4364	123	13	one	one	NUM
ejpam-4364	123	14	of	of	ADP
ejpam-4364	123	15	the	the	DET
ejpam-4364	123	16	offered	offer	VERB
ejpam-4364	123	17	approaches	approach	NOUN
ejpam-4364	123	18	is	be	AUX
ejpam-4364	123	19	satisfied	satisfied	ADJ
ejpam-4364	123	20	.	.	PUNCT
ejpam-4364	124	1	the	the	DET
ejpam-4364	124	2	arithmetical	arithmetical	ADJ
ejpam-4364	124	3	computation	computation	NOUN
ejpam-4364	124	4	explained	explain	VERB
ejpam-4364	124	5	in	in	ADP
ejpam-4364	124	6	table	table	NOUN
ejpam-4364	124	7	1	1	NUM
ejpam-4364	124	8	shows	show	VERB
ejpam-4364	124	9	the	the	DET
ejpam-4364	124	10	efficiency	efficiency	NOUN
ejpam-4364	124	11	of	of	ADP
ejpam-4364	124	12	the	the	DET
ejpam-4364	124	13	proposed	propose	VERB
ejpam-4364	124	14	algorithm	algorithm	NOUN
ejpam-4364	124	15	outperformed	outperform	VERB
ejpam-4364	124	16	the	the	DET
ejpam-4364	124	17	regular	regular	ADJ
ejpam-4364	124	18	fr	fr	ADJ
ejpam-4364	124	19	method	method	NOUN
ejpam-4364	124	20	on	on	ADP
ejpam-4364	124	21	average	average	ADJ
ejpam-4364	124	22	,	,	PUNCT
ejpam-4364	124	23	according	accord	VERB
ejpam-4364	124	24	to	to	ADP
ejpam-4364	124	25	the	the	DET
ejpam-4364	124	26	numerical	numerical	ADJ
ejpam-4364	124	27	results	result	NOUN
ejpam-4364	124	28	and	and	CCONJ
ejpam-4364	124	29	figures	figure	NOUN
ejpam-4364	124	30	1	1	NUM
ejpam-4364	124	31	,	,	PUNCT
ejpam-4364	124	32	2	2	NUM
ejpam-4364	124	33	,	,	PUNCT
ejpam-4364	124	34	3	3	NUM
ejpam-4364	124	35	,	,	PUNCT
ejpam-4364	124	36	which	which	PRON
ejpam-4364	124	37	are	be	AUX
ejpam-4364	124	38	denoted	denote	VERB
ejpam-4364	124	39	by	by	ADP
ejpam-4364	124	40	the	the	DET
ejpam-4364	124	41	performance	performance	NOUN
ejpam-4364	124	42	profile	profile	NOUN
ejpam-4364	124	43	iteration	iteration	NOUN
ejpam-4364	124	44	and	and	CCONJ
ejpam-4364	124	45	the	the	DET
ejpam-4364	124	46	number	number	NOUN
ejpam-4364	124	47	of	of	ADP
ejpam-4364	124	48	function	function	NOUN
ejpam-4364	124	49	evaluations	evaluation	NOUN
ejpam-4364	124	50	and	and	CCONJ
ejpam-4364	124	51	cpu	cpu	VERB
ejpam-4364	124	52	time	time	NOUN
ejpam-4364	124	53	respectively	respectively	ADV
ejpam-4364	124	54	.	.	PUNCT
ejpam-4364	125	1	furthermore	furthermore	ADV
ejpam-4364	125	2	,	,	PUNCT
ejpam-4364	125	3	there	there	PRON
ejpam-4364	125	4	are	be	VERB
ejpam-4364	125	5	exist	exist	VERB
ejpam-4364	125	6	many	many	ADJ
ejpam-4364	125	7	good	good	ADJ
ejpam-4364	125	8	progress	progress	NOUN
ejpam-4364	125	9	in	in	ADP
ejpam-4364	125	10	conjugate	conjugate	ADJ
ejpam-4364	125	11	gradient	gradient	NOUN
ejpam-4364	125	12	algorithms	algorithm	NOUN
ejpam-4364	125	13	see	see	VERB
ejpam-4364	125	14	for	for	ADP
ejpam-4364	125	15	example	example	NOUN
ejpam-4364	125	16	[	[	X
ejpam-4364	125	17	16][15][18	16][15][18	NUM
ejpam-4364	125	18	]	]	PUNCT
ejpam-4364	125	19	references	reference	NOUN
ejpam-4364	125	20	[	[	X
ejpam-4364	125	21	1	1	NUM
ejpam-4364	125	22	]	]	PUNCT
ejpam-4364	125	23	mehiddin	mehiddin	PROPN
ejpam-4364	125	24	al	al	PROPN
ejpam-4364	125	25	-	-	PUNCT
ejpam-4364	125	26	baali	baali	PROPN
ejpam-4364	125	27	,	,	PUNCT
ejpam-4364	125	28	yasushi	yasushi	PROPN
ejpam-4364	125	29	narushima	narushima	PROPN
ejpam-4364	125	30	,	,	PUNCT
ejpam-4364	125	31	and	and	CCONJ
ejpam-4364	125	32	hiroshi	hiroshi	PROPN
ejpam-4364	125	33	yabe	yabe	PROPN
ejpam-4364	125	34	.	.	PUNCT
ejpam-4364	126	1	a	a	DET
ejpam-4364	126	2	family	family	NOUN
ejpam-4364	126	3	of	of	ADP
ejpam-4364	126	4	three	three	NUM
ejpam-4364	126	5	-	-	PUNCT
ejpam-4364	126	6	term	term	NOUN
ejpam-4364	126	7	conjugate	conjugate	ADJ
ejpam-4364	126	8	gradient	gradient	NOUN
ejpam-4364	126	9	methods	method	NOUN
ejpam-4364	126	10	with	with	ADP
ejpam-4364	126	11	sufficient	sufficient	ADJ
ejpam-4364	126	12	descent	descent	NOUN
ejpam-4364	126	13	property	property	NOUN
ejpam-4364	126	14	for	for	ADP
ejpam-4364	126	15	unconstrained	unconstrained	ADJ
ejpam-4364	126	16	optimization	optimization	NOUN
ejpam-4364	126	17	.	.	PUNCT
ejpam-4364	127	1	computational	computational	ADJ
ejpam-4364	127	2	optimization	optimization	NOUN
ejpam-4364	127	3	and	and	CCONJ
ejpam-4364	127	4	applications	application	NOUN
ejpam-4364	127	5	,	,	PUNCT
ejpam-4364	127	6	60(1):89–110	60(1):89–110	NOUN
ejpam-4364	127	7	,	,	PUNCT
ejpam-4364	127	8	2015	2015	NUM
ejpam-4364	127	9	.	.	PUNCT
ejpam-4364	128	1	[	[	X
ejpam-4364	128	2	2	2	NUM
ejpam-4364	128	3	]	]	X
ejpam-4364	128	4	neculai	neculai	ADJ
ejpam-4364	128	5	andrei	andrei	NOUN
ejpam-4364	128	6	.	.	PUNCT
ejpam-4364	129	1	an	an	DET
ejpam-4364	129	2	unconstrained	unconstrained	ADJ
ejpam-4364	129	3	optimization	optimization	NOUN
ejpam-4364	129	4	test	test	NOUN
ejpam-4364	129	5	functions	function	NOUN
ejpam-4364	129	6	collection	collection	NOUN
ejpam-4364	129	7	.	.	PUNCT
ejpam-4364	130	1	adv	adv	PROPN
ejpam-4364	130	2	.	.	PUNCT
ejpam-4364	130	3	model	model	PROPN
ejpam-4364	130	4	.	.	PUNCT
ejpam-4364	131	1	optim	optim	ADJ
ejpam-4364	131	2	,	,	PUNCT
ejpam-4364	131	3	10(1):147–161	10(1):147–161	PROPN
ejpam-4364	131	4	,	,	PUNCT
ejpam-4364	131	5	2008	2008	NUM
ejpam-4364	131	6	.	.	PUNCT
ejpam-4364	132	1	[	[	X
ejpam-4364	132	2	3	3	X
ejpam-4364	132	3	]	]	X
ejpam-4364	132	4	neculai	neculai	PROPN
ejpam-4364	132	5	andrei	andrei	NOUN
ejpam-4364	132	6	.	.	PUNCT
ejpam-4364	133	1	a	a	DET
ejpam-4364	133	2	new	new	ADJ
ejpam-4364	133	3	three	three	NUM
ejpam-4364	133	4	-	-	PUNCT
ejpam-4364	133	5	term	term	NOUN
ejpam-4364	133	6	conjugate	conjugate	ADJ
ejpam-4364	133	7	gradient	gradient	ADJ
ejpam-4364	133	8	algorithm	algorithm	NOUN
ejpam-4364	133	9	for	for	ADP
ejpam-4364	133	10	unconstrained	unconstrained	ADJ
ejpam-4364	133	11	optimization	optimization	NOUN
ejpam-4364	133	12	.	.	PUNCT
ejpam-4364	134	1	numerical	numerical	ADJ
ejpam-4364	134	2	algorithms	algorithms	PROPN
ejpam-4364	134	3	,	,	PUNCT
ejpam-4364	134	4	68(2):305–321	68(2):305–321	PROPN
ejpam-4364	134	5	,	,	PUNCT
ejpam-4364	134	6	2015	2015	NUM
ejpam-4364	134	7	.	.	PUNCT
ejpam-4364	135	1	[	[	X
ejpam-4364	135	2	4	4	NUM
ejpam-4364	135	3	]	]	X
ejpam-4364	135	4	saman	saman	PROPN
ejpam-4364	135	5	babaie	babaie	PROPN
ejpam-4364	135	6	-	-	PUNCT
ejpam-4364	135	7	kafaki	kafaki	PROPN
ejpam-4364	135	8	.	.	PUNCT
ejpam-4364	136	1	two	two	NUM
ejpam-4364	136	2	modified	modify	VERB
ejpam-4364	136	3	scaled	scale	VERB
ejpam-4364	136	4	nonlinear	nonlinear	ADJ
ejpam-4364	136	5	conjugate	conjugate	ADJ
ejpam-4364	136	6	gradient	gradient	ADJ
ejpam-4364	136	7	methods	method	NOUN
ejpam-4364	136	8	.	.	PUNCT
ejpam-4364	137	1	journal	journal	NOUN
ejpam-4364	137	2	of	of	ADP
ejpam-4364	137	3	computational	computational	ADJ
ejpam-4364	137	4	and	and	CCONJ
ejpam-4364	137	5	applied	applied	ADJ
ejpam-4364	137	6	mathematics	mathematic	NOUN
ejpam-4364	137	7	,	,	PUNCT
ejpam-4364	137	8	261:172–182	261:172–182	NUM
ejpam-4364	137	9	,	,	PUNCT
ejpam-4364	137	10	2014	2014	NUM
ejpam-4364	137	11	.	.	PUNCT
ejpam-4364	138	1	[	[	X
ejpam-4364	138	2	5	5	X
ejpam-4364	138	3	]	]	X
ejpam-4364	138	4	jonathan	jonathan	PROPN
ejpam-4364	138	5	barzilai	barzilai	PROPN
ejpam-4364	138	6	and	and	CCONJ
ejpam-4364	138	7	jonathan	jonathan	PROPN
ejpam-4364	138	8	m	m	PROPN
ejpam-4364	138	9	borwein	borwein	PROPN
ejpam-4364	138	10	.	.	PUNCT
ejpam-4364	139	1	two	two	NUM
ejpam-4364	139	2	-	-	PUNCT
ejpam-4364	139	3	point	point	NOUN
ejpam-4364	139	4	step	step	NOUN
ejpam-4364	139	5	size	size	NOUN
ejpam-4364	139	6	gradient	gradient	NOUN
ejpam-4364	139	7	methods	method	NOUN
ejpam-4364	139	8	.	.	PUNCT
ejpam-4364	140	1	i	i	PRON
ejpam-4364	140	2	m	m	VERB
ejpam-4364	140	3	a	a	DET
ejpam-4364	140	4	journal	journal	NOUN
ejpam-4364	140	5	of	of	ADP
ejpam-4364	140	6	numerical	numerical	ADJ
ejpam-4364	140	7	analysis	analysis	NOUN
ejpam-4364	140	8	,	,	PUNCT
ejpam-4364	140	9	8(1):141–148	8(1):141–148	NOUN
ejpam-4364	140	10	,	,	PUNCT
ejpam-4364	140	11	1988	1988	NUM
ejpam-4364	140	12	.	.	PUNCT
ejpam-4364	141	1	[	[	X
ejpam-4364	141	2	6	6	NUM
ejpam-4364	141	3	]	]	PUNCT
ejpam-4364	141	4	yh	yh	NOUN
ejpam-4364	141	5	dai	dai	PROPN
ejpam-4364	141	6	and	and	CCONJ
ejpam-4364	141	7	ya	ya	PROPN
ejpam-4364	141	8	-	-	PUNCT
ejpam-4364	141	9	xiang	xiang	PROPN
ejpam-4364	141	10	yuan	yuan	PROPN
ejpam-4364	141	11	.	.	PUNCT
ejpam-4364	142	1	convergence	convergence	NOUN
ejpam-4364	142	2	properties	property	NOUN
ejpam-4364	142	3	of	of	ADP
ejpam-4364	142	4	the	the	DET
ejpam-4364	142	5	fletcher	fletcher	PROPN
ejpam-4364	142	6	-	-	PUNCT
ejpam-4364	142	7	reeves	reeves	PROPN
ejpam-4364	142	8	method	method	NOUN
ejpam-4364	142	9	.	.	PUNCT
ejpam-4364	143	1	i	i	PRON
ejpam-4364	143	2	m	m	VERB
ejpam-4364	143	3	a	a	DET
ejpam-4364	143	4	journal	journal	NOUN
ejpam-4364	143	5	of	of	ADP
ejpam-4364	143	6	numerical	numerical	ADJ
ejpam-4364	143	7	analysis	analysis	NOUN
ejpam-4364	143	8	,	,	PUNCT
ejpam-4364	143	9	16(2):155–164	16(2):155–164	NUM
ejpam-4364	143	10	,	,	PUNCT
ejpam-4364	143	11	1996	1996	NUM
ejpam-4364	143	12	.	.	PUNCT
ejpam-4364	144	1	[	[	X
ejpam-4364	144	2	7	7	X
ejpam-4364	144	3	]	]	X
ejpam-4364	144	4	yuhong	yuhong	PROPN
ejpam-4364	144	5	dai	dai	PROPN
ejpam-4364	144	6	and	and	CCONJ
ejpam-4364	144	7	yaxiang	yaxiang	PROPN
ejpam-4364	144	8	yuan	yuan	PROPN
ejpam-4364	144	9	.	.	PUNCT
ejpam-4364	145	1	convergence	convergence	NOUN
ejpam-4364	145	2	properties	property	NOUN
ejpam-4364	145	3	of	of	ADP
ejpam-4364	145	4	beale	beale	NOUN
ejpam-4364	145	5	-	-	PUNCT
ejpam-4364	145	6	powell	powell	PROPN
ejpam-4364	145	7	restart	restart	NOUN
ejpam-4364	145	8	algorithm	algorithm	PROPN
ejpam-4364	145	9	.	.	PUNCT
ejpam-4364	146	1	science	science	NOUN
ejpam-4364	146	2	in	in	ADP
ejpam-4364	146	3	china	china	PROPN
ejpam-4364	146	4	series	series	PROPN
ejpam-4364	146	5	a	a	PRON
ejpam-4364	146	6	:	:	PUNCT
ejpam-4364	146	7	mathematics	mathematic	NOUN
ejpam-4364	146	8	,	,	PUNCT
ejpam-4364	146	9	41(11):1142–1150	41(11):1142–1150	PROPN
ejpam-4364	146	10	,	,	PUNCT
ejpam-4364	146	11	1998	1998	NUM
ejpam-4364	146	12	.	.	PUNCT
ejpam-4364	147	1	[	[	X
ejpam-4364	147	2	8	8	NUM
ejpam-4364	147	3	]	]	X
ejpam-4364	147	4	zhifeng	zhifeng	PROPN
ejpam-4364	147	5	dai	dai	PROPN
ejpam-4364	147	6	and	and	CCONJ
ejpam-4364	147	7	fenghua	fenghua	PROPN
ejpam-4364	147	8	wen	wen	PROPN
ejpam-4364	147	9	.	.	PUNCT
ejpam-4364	148	1	another	another	DET
ejpam-4364	148	2	improved	improved	ADJ
ejpam-4364	148	3	wei	wei	PROPN
ejpam-4364	148	4	–	–	PUNCT
ejpam-4364	148	5	yao	yao	PROPN
ejpam-4364	148	6	–	–	PUNCT
ejpam-4364	148	7	liu	liu	PROPN
ejpam-4364	148	8	nonlinear	nonlinear	ADJ
ejpam-4364	148	9	conjugate	conjugate	ADJ
ejpam-4364	148	10	gradient	gradient	NOUN
ejpam-4364	148	11	method	method	NOUN
ejpam-4364	148	12	with	with	ADP
ejpam-4364	148	13	sufficient	sufficient	ADJ
ejpam-4364	148	14	descent	descent	NOUN
ejpam-4364	148	15	property	property	NOUN
ejpam-4364	148	16	.	.	PUNCT
ejpam-4364	149	1	applied	apply	VERB
ejpam-4364	149	2	mathematics	mathematic	NOUN
ejpam-4364	149	3	and	and	CCONJ
ejpam-4364	149	4	computation	computation	NOUN
ejpam-4364	149	5	,	,	PUNCT
ejpam-4364	149	6	218(14):7421–7430	218(14):7421–7430	NUM
ejpam-4364	149	7	,	,	PUNCT
ejpam-4364	149	8	2012	2012	NUM
ejpam-4364	149	9	.	.	PUNCT
ejpam-4364	150	1	references	reference	NOUN
ejpam-4364	150	2	794	794	NUM
ejpam-4364	151	1	[	[	X
ejpam-4364	151	2	9	9	NUM
ejpam-4364	151	3	]	]	PUNCT
ejpam-4364	151	4	elizabeth	elizabeth	PROPN
ejpam-4364	151	5	d.	d.	PROPN
ejpam-4364	151	6	dolan	dolan	PROPN
ejpam-4364	151	7	and	and	CCONJ
ejpam-4364	151	8	jorge	jorge	PROPN
ejpam-4364	151	9	j.	j.	PROPN
ejpam-4364	151	10	moré.	moré.	PROPN
ejpam-4364	151	11	benchmarking	benchmarke	VERB
ejpam-4364	151	12	optimization	optimization	NOUN
ejpam-4364	151	13	software	software	NOUN
ejpam-4364	151	14	with	with	ADP
ejpam-4364	151	15	performance	performance	NOUN
ejpam-4364	151	16	profiles	profile	NOUN
ejpam-4364	151	17	.	.	PUNCT
ejpam-4364	152	1	mathematical	mathematical	ADJ
ejpam-4364	152	2	programming	programming	NOUN
ejpam-4364	152	3	,	,	PUNCT
ejpam-4364	152	4	91(2):201–213	91(2):201–213	PROPN
ejpam-4364	152	5	,	,	PUNCT
ejpam-4364	152	6	jan	jan	PROPN
ejpam-4364	152	7	2002	2002	NUM
ejpam-4364	152	8	.	.	PUNCT
ejpam-4364	153	1	[	[	X
ejpam-4364	153	2	10	10	NUM
ejpam-4364	153	3	]	]	X
ejpam-4364	153	4	xiaoliang	xiaoliang	PROPN
ejpam-4364	153	5	dong	dong	PROPN
ejpam-4364	153	6	,	,	PUNCT
ejpam-4364	153	7	hongwei	hongwei	PROPN
ejpam-4364	153	8	liu	liu	PROPN
ejpam-4364	153	9	,	,	PUNCT
ejpam-4364	153	10	and	and	CCONJ
ejpam-4364	153	11	yubo	yubo	VERB
ejpam-4364	153	12	he	he	PRON
ejpam-4364	153	13	.	.	PUNCT
ejpam-4364	154	1	a	a	DET
ejpam-4364	154	2	self	self	NOUN
ejpam-4364	154	3	-	-	PUNCT
ejpam-4364	154	4	adjusting	adjust	VERB
ejpam-4364	154	5	conjugate	conjugate	ADJ
ejpam-4364	154	6	gradient	gradient	NOUN
ejpam-4364	154	7	method	method	NOUN
ejpam-4364	154	8	with	with	ADP
ejpam-4364	154	9	sufficient	sufficient	ADJ
ejpam-4364	154	10	descent	descent	NOUN
ejpam-4364	154	11	condition	condition	NOUN
ejpam-4364	154	12	and	and	CCONJ
ejpam-4364	154	13	conjugacy	conjugacy	ADJ
ejpam-4364	154	14	condition	condition	NOUN
ejpam-4364	154	15	.	.	PUNCT
ejpam-4364	155	1	journal	journal	NOUN
ejpam-4364	155	2	of	of	ADP
ejpam-4364	155	3	optimization	optimization	NOUN
ejpam-4364	155	4	theory	theory	NOUN
ejpam-4364	155	5	and	and	CCONJ
ejpam-4364	155	6	applications	application	NOUN
ejpam-4364	155	7	,	,	PUNCT
ejpam-4364	155	8	165(1):225–241	165(1):225–241	NUM
ejpam-4364	155	9	,	,	PUNCT
ejpam-4364	155	10	2015	2015	NUM
ejpam-4364	155	11	.	.	PUNCT
ejpam-4364	156	1	[	[	X
ejpam-4364	156	2	11	11	NUM
ejpam-4364	156	3	]	]	PUNCT
ejpam-4364	156	4	yunda	yunda	NOUN
ejpam-4364	156	5	dong	dong	PROPN
ejpam-4364	156	6	.	.	PUNCT
ejpam-4364	157	1	a	a	DET
ejpam-4364	157	2	practical	practical	ADJ
ejpam-4364	157	3	pr+	pr+	ADJ
ejpam-4364	157	4	conjugate	conjugate	ADJ
ejpam-4364	157	5	gradient	gradient	NOUN
ejpam-4364	157	6	method	method	NOUN
ejpam-4364	157	7	only	only	ADV
ejpam-4364	157	8	using	use	VERB
ejpam-4364	157	9	gradient	gradient	NOUN
ejpam-4364	157	10	.	.	PUNCT
ejpam-4364	158	1	applied	apply	VERB
ejpam-4364	158	2	mathematics	mathematic	NOUN
ejpam-4364	158	3	and	and	CCONJ
ejpam-4364	158	4	computation	computation	NOUN
ejpam-4364	158	5	,	,	PUNCT
ejpam-4364	158	6	219(4):2041–2052	219(4):2041–2052	PRON
ejpam-4364	158	7	,	,	PUNCT
ejpam-4364	158	8	2012	2012	NUM
ejpam-4364	158	9	.	.	PUNCT
ejpam-4364	159	1	[	[	X
ejpam-4364	159	2	12	12	NUM
ejpam-4364	159	3	]	]	X
ejpam-4364	159	4	reeves	reeves	PROPN
ejpam-4364	159	5	fletcher	fletcher	PROPN
ejpam-4364	159	6	and	and	CCONJ
ejpam-4364	159	7	colin	colin	PROPN
ejpam-4364	159	8	m	m	PROPN
ejpam-4364	159	9	reeves	reeves	PROPN
ejpam-4364	159	10	.	.	PUNCT
ejpam-4364	160	1	function	function	NOUN
ejpam-4364	160	2	minimization	minimization	NOUN
ejpam-4364	160	3	by	by	ADP
ejpam-4364	160	4	conjugate	conjugate	ADJ
ejpam-4364	160	5	gradients	gradient	NOUN
ejpam-4364	160	6	.	.	PUNCT
ejpam-4364	161	1	the	the	DET
ejpam-4364	161	2	computer	computer	NOUN
ejpam-4364	161	3	journal	journal	NOUN
ejpam-4364	161	4	,	,	PUNCT
ejpam-4364	161	5	7(2):149–154	7(2):149–154	NUM
ejpam-4364	161	6	,	,	PUNCT
ejpam-4364	161	7	1964	1964	NUM
ejpam-4364	161	8	.	.	PUNCT
ejpam-4364	162	1	[	[	X
ejpam-4364	162	2	13	13	NUM
ejpam-4364	162	3	]	]	SYM
ejpam-4364	162	4	basim	basim	NOUN
ejpam-4364	162	5	a	a	DET
ejpam-4364	162	6	hassan	hassan	PROPN
ejpam-4364	162	7	.	.	PUNCT
ejpam-4364	163	1	a	a	DET
ejpam-4364	163	2	new	new	ADJ
ejpam-4364	163	3	formula	formula	NOUN
ejpam-4364	163	4	for	for	ADP
ejpam-4364	163	5	conjugate	conjugate	ADJ
ejpam-4364	163	6	parameter	parameter	NOUN
ejpam-4364	163	7	computation	computation	NOUN
ejpam-4364	163	8	based	base	VERB
ejpam-4364	163	9	on	on	ADP
ejpam-4364	163	10	the	the	DET
ejpam-4364	163	11	quadratic	quadratic	ADJ
ejpam-4364	163	12	model	model	NOUN
ejpam-4364	163	13	.	.	PUNCT
ejpam-4364	164	1	indonesian	indonesian	ADJ
ejpam-4364	164	2	journal	journal	PROPN
ejpam-4364	164	3	of	of	ADP
ejpam-4364	164	4	electrical	electrical	ADJ
ejpam-4364	164	5	engineering	engineering	NOUN
ejpam-4364	164	6	and	and	CCONJ
ejpam-4364	164	7	computer	computer	NOUN
ejpam-4364	164	8	science	science	NOUN
ejpam-4364	164	9	,	,	PUNCT
ejpam-4364	164	10	3(3):954–961	3(3):954–961	PROPN
ejpam-4364	164	11	,	,	PUNCT
ejpam-4364	164	12	2019	2019	NUM
ejpam-4364	164	13	.	.	PUNCT
ejpam-4364	165	1	[	[	X
ejpam-4364	165	2	14	14	NUM
ejpam-4364	165	3	]	]	X
ejpam-4364	165	4	basim	basim	NOUN
ejpam-4364	165	5	a	a	DET
ejpam-4364	165	6	hassan	hassan	PROPN
ejpam-4364	165	7	,	,	PUNCT
ejpam-4364	165	8	sawsan	sawsan	NOUN
ejpam-4364	165	9	s	s	PROPN
ejpam-4364	165	10	ismael	ismael	PROPN
ejpam-4364	165	11	,	,	PUNCT
ejpam-4364	165	12	and	and	CCONJ
ejpam-4364	165	13	osam	osam	PROPN
ejpam-4364	165	14	m	m	PROPN
ejpam-4364	165	15	taher	taher	PROPN
ejpam-4364	165	16	.	.	PUNCT
ejpam-4364	166	1	a	a	DET
ejpam-4364	166	2	new	new	ADJ
ejpam-4364	166	3	spectral	spectral	ADJ
ejpam-4364	166	4	gradient	gradient	NOUN
ejpam-4364	166	5	coefficient	coefficient	NOUN
ejpam-4364	166	6	is	be	AUX
ejpam-4364	166	7	based	base	VERB
ejpam-4364	166	8	on	on	ADP
ejpam-4364	166	9	the	the	DET
ejpam-4364	166	10	convex	convex	ADJ
ejpam-4364	166	11	combination	combination	NOUN
ejpam-4364	166	12	of	of	ADP
ejpam-4364	166	13	the	the	DET
ejpam-4364	166	14	two	two	NUM
ejpam-4364	166	15	different	different	ADJ
ejpam-4364	166	16	conjugate	conjugate	ADJ
ejpam-4364	166	17	coefficients	coefficient	NOUN
ejpam-4364	166	18	for	for	ADP
ejpam-4364	166	19	optimization	optimization	NOUN
ejpam-4364	166	20	.	.	PUNCT
ejpam-4364	167	1	international	international	ADJ
ejpam-4364	167	2	journal	journal	NOUN
ejpam-4364	167	3	of	of	ADP
ejpam-4364	167	4	enhanced	enhanced	ADJ
ejpam-4364	167	5	research	research	NOUN
ejpam-4364	167	6	in	in	ADP
ejpam-4364	167	7	science	science	NOUN
ejpam-4364	167	8	,	,	PUNCT
ejpam-4364	167	9	technology	technology	NOUN
ejpam-4364	167	10	engineering	engineering	NOUN
ejpam-4364	167	11	,	,	PUNCT
ejpam-4364	167	12	7(2):44–50	7(2):44–50	NUM
ejpam-4364	167	13	,	,	PUNCT
ejpam-4364	167	14	2018	2018	NUM
ejpam-4364	167	15	.	.	PUNCT
ejpam-4364	168	1	[	[	X
ejpam-4364	168	2	15	15	NUM
ejpam-4364	168	3	]	]	X
ejpam-4364	168	4	basim	basim	PROPN
ejpam-4364	168	5	abbas	abbas	PROPN
ejpam-4364	168	6	hassan	hassan	PROPN
ejpam-4364	168	7	,	,	PUNCT
ejpam-4364	168	8	zeyad	zeyad	PROPN
ejpam-4364	168	9	m.	m.	PROPN
ejpam-4364	168	10	abdullah	abdullah	PROPN
ejpam-4364	168	11	,	,	PUNCT
ejpam-4364	168	12	and	and	CCONJ
ejpam-4364	168	13	hawraz	hawraz	PROPN
ejpam-4364	168	14	n.	n.	PROPN
ejpam-4364	168	15	jabbar	jabbar	PROPN
ejpam-4364	168	16	.	.	PUNCT
ejpam-4364	169	1	a	a	DET
ejpam-4364	169	2	descent	descent	NOUN
ejpam-4364	169	3	extension	extension	NOUN
ejpam-4364	169	4	of	of	ADP
ejpam-4364	169	5	the	the	DET
ejpam-4364	169	6	dai	dai	PROPN
ejpam-4364	169	7	yuan	yuan	PROPN
ejpam-4364	169	8	conjugate	conjugate	ADJ
ejpam-4364	169	9	gradient	gradient	NOUN
ejpam-4364	169	10	technique	technique	NOUN
ejpam-4364	169	11	.	.	PUNCT
ejpam-4364	170	1	indonesian	indonesian	ADJ
ejpam-4364	170	2	journal	journal	PROPN
ejpam-4364	170	3	of	of	ADP
ejpam-4364	170	4	electrical	electrical	ADJ
ejpam-4364	170	5	engineering	engineering	NOUN
ejpam-4364	170	6	and	and	CCONJ
ejpam-4364	170	7	computer	computer	NOUN
ejpam-4364	170	8	science	science	NOUN
ejpam-4364	170	9	,	,	PUNCT
ejpam-4364	170	10	16(2):661	16(2):661	ADV
ejpam-4364	170	11	,	,	PUNCT
ejpam-4364	170	12	nov	nov	PROPN
ejpam-4364	170	13	2019	2019	NUM
ejpam-4364	170	14	.	.	PUNCT
ejpam-4364	171	1	[	[	X
ejpam-4364	171	2	16	16	NUM
ejpam-4364	171	3	]	]	X
ejpam-4364	171	4	basim	basim	PROPN
ejpam-4364	171	5	abbas	abbas	PROPN
ejpam-4364	171	6	hassan	hassan	PROPN
ejpam-4364	171	7	,	,	PUNCT
ejpam-4364	171	8	hussein	hussein	PROPN
ejpam-4364	171	9	o.	o.	PROPN
ejpam-4364	171	10	dahawi	dahawi	PROPN
ejpam-4364	171	11	,	,	PUNCT
ejpam-4364	171	12	and	and	CCONJ
ejpam-4364	171	13	azzam	azzam	PROPN
ejpam-4364	171	14	s.	s.	PROPN
ejpam-4364	171	15	younus	younus	PROPN
ejpam-4364	171	16	.	.	PUNCT
ejpam-4364	172	1	a	a	DET
ejpam-4364	172	2	new	new	ADJ
ejpam-4364	172	3	kind	kind	NOUN
ejpam-4364	172	4	of	of	ADP
ejpam-4364	172	5	parameter	parameter	NOUN
ejpam-4364	172	6	conjugate	conjugate	ADJ
ejpam-4364	172	7	gradient	gradient	NOUN
ejpam-4364	172	8	for	for	ADP
ejpam-4364	172	9	unconstrained	unconstrained	ADJ
ejpam-4364	172	10	optimization	optimization	NOUN
ejpam-4364	172	11	.	.	PUNCT
ejpam-4364	173	1	indonesian	indonesian	ADJ
ejpam-4364	173	2	journal	journal	PROPN
ejpam-4364	173	3	of	of	ADP
ejpam-4364	173	4	electrical	electrical	ADJ
ejpam-4364	173	5	engineering	engineering	NOUN
ejpam-4364	173	6	and	and	CCONJ
ejpam-4364	173	7	computer	computer	NOUN
ejpam-4364	173	8	science	science	NOUN
ejpam-4364	173	9	,	,	PUNCT
ejpam-4364	173	10	17(1):404	17(1):404	NUM
ejpam-4364	173	11	,	,	PUNCT
ejpam-4364	173	12	jan	jan	PROPN
ejpam-4364	173	13	2020	2020	NUM
ejpam-4364	173	14	.	.	PUNCT
ejpam-4364	174	1	[	[	X
ejpam-4364	174	2	17	17	NUM
ejpam-4364	174	3	]	]	X
ejpam-4364	174	4	magnus	magnus	PROPN
ejpam-4364	174	5	r	r	NOUN
ejpam-4364	174	6	hestenes	hestene	NOUN
ejpam-4364	174	7	and	and	CCONJ
ejpam-4364	174	8	eduard	eduard	PROPN
ejpam-4364	174	9	stiefel	stiefel	PROPN
ejpam-4364	174	10	.	.	PUNCT
ejpam-4364	175	1	methods	method	NOUN
ejpam-4364	175	2	of	of	ADP
ejpam-4364	175	3	conjugate	conjugate	ADJ
ejpam-4364	175	4	gradients	gradient	NOUN
ejpam-4364	175	5	for	for	ADP
ejpam-4364	175	6	solving	solve	VERB
ejpam-4364	175	7	.	.	PUNCT
ejpam-4364	176	1	journal	journal	PROPN
ejpam-4364	176	2	of	of	ADP
ejpam-4364	176	3	research	research	NOUN
ejpam-4364	176	4	of	of	ADP
ejpam-4364	176	5	the	the	DET
ejpam-4364	176	6	national	national	PROPN
ejpam-4364	176	7	bureau	bureau	PROPN
ejpam-4364	176	8	of	of	ADP
ejpam-4364	176	9	standards	standard	NOUN
ejpam-4364	176	10	,	,	PUNCT
ejpam-4364	176	11	49(6):409	49(6):409	NUM
ejpam-4364	176	12	,	,	PUNCT
ejpam-4364	176	13	1952	1952	NUM
ejpam-4364	176	14	.	.	PUNCT
ejpam-4364	177	1	[	[	X
ejpam-4364	177	2	18	18	NUM
ejpam-4364	177	3	]	]	SYM
ejpam-4364	177	4	hawraz	hawraz	PROPN
ejpam-4364	177	5	n.	n.	PROPN
ejpam-4364	177	6	jabbar	jabbar	PROPN
ejpam-4364	177	7	and	and	CCONJ
ejpam-4364	177	8	basim	basim	PROPN
ejpam-4364	177	9	a.	a.	PROPN
ejpam-4364	177	10	hassan	hassan	PROPN
ejpam-4364	177	11	.	.	PUNCT
ejpam-4364	178	1	two	two	NUM
ejpam-4364	178	2	-	-	PUNCT
ejpam-4364	178	3	versions	version	NOUN
ejpam-4364	178	4	of	of	ADP
ejpam-4364	178	5	descent	descent	NOUN
ejpam-4364	178	6	conjugate	conjugate	ADJ
ejpam-4364	178	7	gradient	gradient	ADJ
ejpam-4364	178	8	methods	method	NOUN
ejpam-4364	178	9	for	for	ADP
ejpam-4364	178	10	large	large	ADJ
ejpam-4364	178	11	-	-	PUNCT
ejpam-4364	178	12	scale	scale	NOUN
ejpam-4364	178	13	unconstrained	unconstrained	ADJ
ejpam-4364	178	14	optimization	optimization	NOUN
ejpam-4364	178	15	.	.	PUNCT
ejpam-4364	179	1	indonesian	indonesian	ADJ
ejpam-4364	179	2	journal	journal	PROPN
ejpam-4364	179	3	of	of	ADP
ejpam-4364	179	4	electrical	electrical	ADJ
ejpam-4364	179	5	engineering	engineering	NOUN
ejpam-4364	179	6	and	and	CCONJ
ejpam-4364	179	7	computer	computer	NOUN
ejpam-4364	179	8	science	science	NOUN
ejpam-4364	179	9	,	,	PUNCT
ejpam-4364	179	10	22(3):1643	22(3):1643	NUM
ejpam-4364	179	11	,	,	PUNCT
ejpam-4364	179	12	jun	jun	PROPN
ejpam-4364	179	13	2021	2021	NUM
ejpam-4364	179	14	.	.	PUNCT
ejpam-4364	180	1	[	[	X
ejpam-4364	180	2	19	19	NUM
ejpam-4364	180	3	]	]	X
ejpam-4364	180	4	hailin	hailin	PROPN
ejpam-4364	180	5	liu	liu	PROPN
ejpam-4364	180	6	.	.	PUNCT
ejpam-4364	181	1	a	a	DET
ejpam-4364	181	2	mixture	mixture	NOUN
ejpam-4364	181	3	conjugate	conjugate	ADJ
ejpam-4364	181	4	gradient	gradient	NOUN
ejpam-4364	181	5	method	method	NOUN
ejpam-4364	181	6	for	for	ADP
ejpam-4364	181	7	unconstrained	unconstrained	ADJ
ejpam-4364	181	8	optimization	optimization	NOUN
ejpam-4364	181	9	.	.	PUNCT
ejpam-4364	182	1	in	in	ADP
ejpam-4364	182	2	2010	2010	NUM
ejpam-4364	182	3	third	third	ADJ
ejpam-4364	182	4	international	international	ADJ
ejpam-4364	182	5	symposium	symposium	NOUN
ejpam-4364	182	6	on	on	ADP
ejpam-4364	182	7	intelligent	intelligent	ADJ
ejpam-4364	182	8	information	information	NOUN
ejpam-4364	182	9	technology	technology	NOUN
ejpam-4364	182	10	and	and	CCONJ
ejpam-4364	182	11	security	security	NOUN
ejpam-4364	182	12	informatics	informatic	NOUN
ejpam-4364	182	13	,	,	PUNCT
ejpam-4364	182	14	pages	page	NOUN
ejpam-4364	182	15	26–29	26–29	NOUN
ejpam-4364	182	16	.	.	PUNCT
ejpam-4364	182	17	ieee	ieee	PROPN
ejpam-4364	182	18	,	,	PUNCT
ejpam-4364	182	19	2010	2010	NUM
ejpam-4364	182	20	.	.	PUNCT
ejpam-4364	183	1	[	[	X
ejpam-4364	183	2	20	20	NUM
ejpam-4364	183	3	]	]	PUNCT
ejpam-4364	183	4	elijah	elijah	PROPN
ejpam-4364	183	5	polak	polak	PROPN
ejpam-4364	183	6	and	and	CCONJ
ejpam-4364	183	7	gerard	gerard	PROPN
ejpam-4364	183	8	ribiere	ribiere	PROPN
ejpam-4364	183	9	.	.	PUNCT
ejpam-4364	184	1	note	note	VERB
ejpam-4364	184	2	sur	sur	PROPN
ejpam-4364	184	3	la	la	X
ejpam-4364	184	4	convergence	convergence	NOUN
ejpam-4364	184	5	de	de	X
ejpam-4364	184	6	méthodes	méthodes	X
ejpam-4364	184	7	de	de	PROPN
ejpam-4364	184	8	directions	direction	NOUN
ejpam-4364	184	9	conjuguées	conjuguées	PROPN
ejpam-4364	184	10	.	.	PUNCT
ejpam-4364	185	1	esaim	esaim	NOUN
ejpam-4364	185	2	:	:	PUNCT
ejpam-4364	185	3	mathematical	mathematical	ADJ
ejpam-4364	185	4	modelling	modelling	NOUN
ejpam-4364	185	5	and	and	CCONJ
ejpam-4364	185	6	numerical	numerical	ADJ
ejpam-4364	185	7	analysis	analysis	NOUN
ejpam-4364	185	8	-	-	PUNCT
ejpam-4364	185	9	modélisation	modélisation	NOUN
ejpam-4364	185	10	mathématique	mathématique	NOUN
ejpam-4364	185	11	et	et	NOUN
ejpam-4364	185	12	analyse	analyse	PROPN
ejpam-4364	185	13	numérique	numérique	NOUN
ejpam-4364	185	14	,	,	PUNCT
ejpam-4364	185	15	3(r1):35–43	3(r1):35–43	NUM
ejpam-4364	185	16	,	,	PUNCT
ejpam-4364	185	17	1969	1969	NUM
ejpam-4364	185	18	.	.	PUNCT
ejpam-4364	186	1	[	[	X
ejpam-4364	186	2	21	21	NUM
ejpam-4364	186	3	]	]	PUNCT
ejpam-4364	186	4	boris	boris	PROPN
ejpam-4364	186	5	teodorovich	teodorovich	PROPN
ejpam-4364	186	6	polyak	polyak	PROPN
ejpam-4364	186	7	.	.	PUNCT
ejpam-4364	187	1	the	the	DET
ejpam-4364	187	2	conjugate	conjugate	ADJ
ejpam-4364	187	3	gradient	gradient	NOUN
ejpam-4364	187	4	method	method	NOUN
ejpam-4364	187	5	in	in	ADP
ejpam-4364	187	6	extremal	extremal	ADJ
ejpam-4364	187	7	problems	problem	NOUN
ejpam-4364	187	8	.	.	PUNCT
ejpam-4364	188	1	ussr	ussr	ADJ
ejpam-4364	188	2	computational	computational	ADJ
ejpam-4364	188	3	mathematics	mathematic	NOUN
ejpam-4364	188	4	and	and	CCONJ
ejpam-4364	188	5	mathematical	mathematical	ADJ
ejpam-4364	188	6	physics	physics	NOUN
ejpam-4364	188	7	,	,	PUNCT
ejpam-4364	188	8	9(4):94–112	9(4):94–112	NUM
ejpam-4364	188	9	,	,	PUNCT
ejpam-4364	188	10	1969	1969	NUM
ejpam-4364	188	11	.	.	PUNCT
ejpam-4364	189	1	references	reference	NOUN
ejpam-4364	189	2	795	795	NUM
ejpam-4364	189	3	[	[	SYM
ejpam-4364	189	4	22	22	NUM
ejpam-4364	189	5	]	]	PUNCT
ejpam-4364	189	6	aseel	aseel	PROPN
ejpam-4364	189	7	m	m	PROPN
ejpam-4364	189	8	qasim	qasim	PROPN
ejpam-4364	189	9	,	,	PUNCT
ejpam-4364	189	10	zinah	zinah	PROPN
ejpam-4364	189	11	f	f	PROPN
ejpam-4364	189	12	salih	salih	PROPN
ejpam-4364	189	13	,	,	PUNCT
ejpam-4364	189	14	and	and	CCONJ
ejpam-4364	189	15	basim	basim	PROPN
ejpam-4364	189	16	a	a	DET
ejpam-4364	189	17	hassan	hassan	PROPN
ejpam-4364	189	18	.	.	PUNCT
ejpam-4364	190	1	a	a	DET
ejpam-4364	190	2	new	new	ADJ
ejpam-4364	190	3	conjugate	conjugate	ADJ
ejpam-4364	190	4	gradient	gradient	NOUN
ejpam-4364	190	5	algorithms	algorithm	NOUN
ejpam-4364	190	6	using	use	VERB
ejpam-4364	190	7	conjugacy	conjugacy	ADJ
ejpam-4364	190	8	condition	condition	NOUN
ejpam-4364	190	9	for	for	ADP
ejpam-4364	190	10	solving	solve	VERB
ejpam-4364	190	11	unconstrained	unconstrained	ADJ
ejpam-4364	190	12	optimization	optimization	NOUN
ejpam-4364	190	13	.	.	PUNCT
ejpam-4364	191	1	indonesian	indonesian	ADJ
ejpam-4364	191	2	journal	journal	PROPN
ejpam-4364	191	3	of	of	ADP
ejpam-4364	191	4	electrical	electrical	ADJ
ejpam-4364	191	5	engineering	engineering	NOUN
ejpam-4364	191	6	and	and	CCONJ
ejpam-4364	191	7	computer	computer	NOUN
ejpam-4364	191	8	science	science	NOUN
ejpam-4364	191	9	,	,	PUNCT
ejpam-4364	191	10	24(3):1654–1660	24(3):1654–1660	NUM
ejpam-4364	191	11	,	,	PUNCT
ejpam-4364	191	12	2021	2021	NUM
ejpam-4364	191	13	.	.	PUNCT
ejpam-4364	192	1	[	[	X
ejpam-4364	192	2	23	23	NUM
ejpam-4364	192	3	]	]	X
ejpam-4364	192	4	marcos	marcos	PROPN
ejpam-4364	192	5	raydan	raydan	PROPN
ejpam-4364	192	6	.	.	PUNCT
ejpam-4364	193	1	on	on	ADP
ejpam-4364	193	2	the	the	DET
ejpam-4364	193	3	barzilai	barzilai	NOUN
ejpam-4364	193	4	and	and	CCONJ
ejpam-4364	193	5	borwein	borwein	ADJ
ejpam-4364	193	6	choice	choice	NOUN
ejpam-4364	193	7	of	of	ADP
ejpam-4364	193	8	steplength	steplength	NOUN
ejpam-4364	193	9	for	for	ADP
ejpam-4364	193	10	the	the	DET
ejpam-4364	193	11	gradient	gradient	NOUN
ejpam-4364	193	12	method	method	NOUN
ejpam-4364	193	13	.	.	PUNCT
ejpam-4364	194	1	i	i	PRON
ejpam-4364	194	2	m	m	VERB
ejpam-4364	194	3	a	a	DET
ejpam-4364	194	4	journal	journal	NOUN
ejpam-4364	194	5	of	of	ADP
ejpam-4364	194	6	numerical	numerical	ADJ
ejpam-4364	194	7	analysis	analysis	NOUN
ejpam-4364	194	8	,	,	PUNCT
ejpam-4364	194	9	13(3):321–326	13(3):321–326	NUM
ejpam-4364	194	10	,	,	PUNCT
ejpam-4364	194	11	1993	1993	NUM
ejpam-4364	194	12	.	.	PUNCT
ejpam-4364	195	1	[	[	X
ejpam-4364	195	2	24	24	NUM
ejpam-4364	195	3	]	]	X
ejpam-4364	195	4	jian	jian	PROPN
ejpam-4364	195	5	wang	wang	PROPN
ejpam-4364	195	6	and	and	CCONJ
ejpam-4364	195	7	xuebin	xuebin	PROPN
ejpam-4364	195	8	chi	chi	PROPN
ejpam-4364	195	9	.	.	PUNCT
ejpam-4364	196	1	cg	cg	PROPN
ejpam-4364	196	2	global	global	ADJ
ejpam-4364	196	3	convergence	convergence	NOUN
ejpam-4364	196	4	properties	property	NOUN
ejpam-4364	196	5	with	with	ADP
ejpam-4364	196	6	goldstein	goldstein	PROPN
ejpam-4364	196	7	linesearch	linesearch	PROPN
ejpam-4364	196	8	.	.	PUNCT
ejpam-4364	197	1	bulletin	bulletin	NOUN
ejpam-4364	197	2	of	of	ADP
ejpam-4364	197	3	the	the	DET
ejpam-4364	197	4	brazilian	brazilian	ADJ
ejpam-4364	197	5	mathematical	mathematical	ADJ
ejpam-4364	197	6	society	society	NOUN
ejpam-4364	197	7	,	,	PUNCT
ejpam-4364	197	8	36(2):197–204	36(2):197–204	PROPN
ejpam-4364	197	9	,	,	PUNCT
ejpam-4364	197	10	2005	2005	NUM
ejpam-4364	197	11	.	.	PUNCT
ejpam-4364	198	1	[	[	X
ejpam-4364	198	2	25	25	NUM
ejpam-4364	198	3	]	]	PUNCT
ejpam-4364	198	4	shengwei	shengwei	NOUN
ejpam-4364	198	5	yao	yao	PROPN
ejpam-4364	198	6	,	,	PUNCT
ejpam-4364	198	7	xiwen	xiwen	PROPN
ejpam-4364	198	8	lu	lu	PROPN
ejpam-4364	198	9	,	,	PUNCT
ejpam-4364	198	10	and	and	CCONJ
ejpam-4364	198	11	bin	bin	PROPN
ejpam-4364	198	12	qin	qin	PROPN
ejpam-4364	198	13	.	.	PUNCT
ejpam-4364	199	1	a	a	DET
ejpam-4364	199	2	modified	modify	VERB
ejpam-4364	199	3	conjugacy	conjugacy	ADJ
ejpam-4364	199	4	condition	condition	NOUN
ejpam-4364	199	5	and	and	CCONJ
ejpam-4364	199	6	related	relate	VERB
ejpam-4364	199	7	nonlinear	nonlinear	ADJ
ejpam-4364	199	8	conjugate	conjugate	ADJ
ejpam-4364	199	9	gradient	gradient	NOUN
ejpam-4364	199	10	method	method	NOUN
ejpam-4364	199	11	.	.	PUNCT
ejpam-4364	200	1	mathematical	mathematical	ADJ
ejpam-4364	200	2	problems	problem	NOUN
ejpam-4364	200	3	in	in	ADP
ejpam-4364	200	4	engineering	engineering	NOUN
ejpam-4364	200	5	,	,	PUNCT
ejpam-4364	200	6	2014:1	2014:1	NUM
ejpam-4364	200	7	–	–	PUNCT
ejpam-4364	200	8	9	9	NUM
ejpam-4364	200	9	,	,	PUNCT
ejpam-4364	200	10	2014	2014	NUM
ejpam-4364	200	11	.	.	PUNCT
ejpam-4364	201	1	[	[	X
ejpam-4364	201	2	26	26	NUM
ejpam-4364	201	3	]	]	X
ejpam-4364	201	4	gonglin	gonglin	PROPN
ejpam-4364	201	5	yuan	yuan	PROPN
ejpam-4364	201	6	and	and	CCONJ
ejpam-4364	201	7	xiwen	xiwen	PROPN
ejpam-4364	201	8	lu	lu	PROPN
ejpam-4364	201	9	.	.	PUNCT
ejpam-4364	202	1	a	a	DET
ejpam-4364	202	2	modified	modify	VERB
ejpam-4364	202	3	prp	prp	NOUN
ejpam-4364	202	4	conjugate	conjugate	VERB
ejpam-4364	202	5	gradient	gradient	ADJ
ejpam-4364	202	6	method	method	NOUN
ejpam-4364	202	7	.	.	PUNCT
ejpam-4364	203	1	annals	annal	NOUN
ejpam-4364	203	2	of	of	ADP
ejpam-4364	203	3	operations	operation	NOUN
ejpam-4364	203	4	research	research	NOUN
ejpam-4364	203	5	,	,	PUNCT
ejpam-4364	203	6	166(1):73–90	166(1):73–90	NUM
ejpam-4364	203	7	,	,	PUNCT
ejpam-4364	203	8	2009	2009	NUM
ejpam-4364	203	9	.	.	PUNCT
ejpam-4364	204	1	[	[	X
ejpam-4364	204	2	27	27	NUM
ejpam-4364	204	3	]	]	X
ejpam-4364	204	4	li	li	PROPN
ejpam-4364	204	5	zhang	zhang	PROPN
ejpam-4364	204	6	,	,	PUNCT
ejpam-4364	204	7	weijun	weijun	PROPN
ejpam-4364	204	8	zhou	zhou	PROPN
ejpam-4364	204	9	,	,	PUNCT
ejpam-4364	204	10	and	and	CCONJ
ejpam-4364	204	11	dong	dong	PROPN
ejpam-4364	204	12	-	-	PUNCT
ejpam-4364	204	13	hui	hui	PROPN
ejpam-4364	204	14	li	li	PROPN
ejpam-4364	204	15	.	.	PUNCT
ejpam-4364	205	1	a	a	DET
ejpam-4364	205	2	descent	descent	NOUN
ejpam-4364	205	3	modified	modify	VERB
ejpam-4364	205	4	polak	polak	PROPN
ejpam-4364	205	5	–	–	PUNCT
ejpam-4364	205	6	ribière	ribière	NOUN
ejpam-4364	205	7	–	–	PUNCT
ejpam-4364	205	8	polyak	polyak	NOUN
ejpam-4364	205	9	conjugate	conjugate	ADJ
ejpam-4364	205	10	gradient	gradient	NOUN
ejpam-4364	205	11	method	method	NOUN
ejpam-4364	205	12	and	and	CCONJ
ejpam-4364	205	13	its	its	PRON
ejpam-4364	205	14	global	global	ADJ
ejpam-4364	205	15	convergence	convergence	NOUN
ejpam-4364	205	16	.	.	PUNCT
ejpam-4364	206	1	i	i	PRON
ejpam-4364	206	2	m	m	VERB
ejpam-4364	206	3	a	a	DET
ejpam-4364	206	4	journal	journal	NOUN
ejpam-4364	206	5	of	of	ADP
ejpam-4364	206	6	numerical	numerical	ADJ
ejpam-4364	206	7	analysis	analysis	NOUN
ejpam-4364	206	8	,	,	PUNCT
ejpam-4364	206	9	26(4):629–640	26(4):629–640	NOUN
ejpam-4364	206	10	,	,	PUNCT
ejpam-4364	206	11	2006	2006	NUM
ejpam-4364	206	12	.	.	PUNCT
ejpam-4364	207	1	[	[	X
ejpam-4364	207	2	28	28	NUM
ejpam-4364	207	3	]	]	X
ejpam-4364	207	4	li	li	PROPN
ejpam-4364	207	5	zhang	zhang	PROPN
ejpam-4364	207	6	,	,	PUNCT
ejpam-4364	207	7	weijun	weijun	PROPN
ejpam-4364	207	8	zhou	zhou	PROPN
ejpam-4364	207	9	,	,	PUNCT
ejpam-4364	207	10	and	and	CCONJ
ejpam-4364	207	11	donghui	donghui	PROPN
ejpam-4364	207	12	li	li	PROPN
ejpam-4364	207	13	.	.	PROPN
ejpam-4364	207	14	global	global	ADJ
ejpam-4364	207	15	convergence	convergence	NOUN
ejpam-4364	207	16	of	of	ADP
ejpam-4364	207	17	a	a	DET
ejpam-4364	207	18	modified	modify	VERB
ejpam-4364	207	19	fletcher	fletcher	NOUN
ejpam-4364	207	20	–	–	PUNCT
ejpam-4364	207	21	reeves	reeve	NOUN
ejpam-4364	207	22	conjugate	conjugate	VERB
ejpam-4364	207	23	gradient	gradient	ADJ
ejpam-4364	207	24	method	method	NOUN
ejpam-4364	207	25	with	with	ADP
ejpam-4364	207	26	armijo	armijo	PROPN
ejpam-4364	207	27	-	-	PUNCT
ejpam-4364	207	28	type	type	NOUN
ejpam-4364	207	29	line	line	NOUN
ejpam-4364	207	30	search	search	NOUN
ejpam-4364	207	31	.	.	PUNCT
ejpam-4364	208	1	numerische	numerische	PROPN
ejpam-4364	208	2	mathematik	mathematik	PROPN
ejpam-4364	208	3	,	,	PUNCT
ejpam-4364	208	4	104(4):561–572	104(4):561–572	NUM
ejpam-4364	208	5	,	,	PUNCT
ejpam-4364	208	6	2006	2006	NUM
ejpam-4364	208	7	.	.	PUNCT
ejpam-4364	209	1	[	[	X
ejpam-4364	209	2	29	29	NUM
ejpam-4364	209	3	]	]	PUNCT
ejpam-4364	209	4	anwa	anwa	PROPN
ejpam-4364	209	5	zhou	zhou	PROPN
ejpam-4364	209	6	,	,	PUNCT
ejpam-4364	209	7	zhibin	zhibin	PROPN
ejpam-4364	209	8	zhu	zhu	PROPN
ejpam-4364	209	9	,	,	PUNCT
ejpam-4364	209	10	hao	hao	PROPN
ejpam-4364	209	11	fan	fan	PROPN
ejpam-4364	209	12	,	,	PUNCT
ejpam-4364	209	13	and	and	CCONJ
ejpam-4364	209	14	qian	qian	PROPN
ejpam-4364	209	15	qing	qing	NOUN
ejpam-4364	209	16	.	.	PUNCT
ejpam-4364	210	1	three	three	NUM
ejpam-4364	210	2	new	new	ADJ
ejpam-4364	210	3	hybrid	hybrid	ADJ
ejpam-4364	210	4	conjugate	conjugate	ADJ
ejpam-4364	210	5	gradient	gradient	ADJ
ejpam-4364	210	6	methods	method	NOUN
ejpam-4364	210	7	for	for	ADP
ejpam-4364	210	8	optimization	optimization	NOUN
ejpam-4364	210	9	.	.	PUNCT
ejpam-4364	211	1	applied	apply	VERB
ejpam-4364	211	2	mathematics	mathematic	NOUN
ejpam-4364	211	3	,	,	PUNCT
ejpam-4364	211	4	2(3):303	2(3):303	NUM
ejpam-4364	211	5	,	,	PUNCT
ejpam-4364	211	6	2011	2011	NUM
ejpam-4364	211	7	.	.	PUNCT
ejpam-4364	212	1	[	[	X
ejpam-4364	212	2	30	30	NUM
ejpam-4364	212	3	]	]	X
ejpam-4364	212	4	g	g	PROPN
ejpam-4364	212	5	zoutendijk	zoutendijk	PROPN
ejpam-4364	212	6	.	.	PUNCT
ejpam-4364	213	1	nonlinear	nonlinear	ADJ
ejpam-4364	213	2	programming	programming	NOUN
ejpam-4364	213	3	,	,	PUNCT
ejpam-4364	213	4	computational	computational	ADJ
ejpam-4364	213	5	methods	method	NOUN
ejpam-4364	213	6	.	.	PUNCT
ejpam-4364	214	1	integer	integer	NOUN
ejpam-4364	214	2	and	and	CCONJ
ejpam-4364	214	3	nonlinear	nonlinear	ADJ
ejpam-4364	214	4	programming	programming	NOUN
ejpam-4364	214	5	,	,	PUNCT
ejpam-4364	214	6	pages	page	NOUN
ejpam-4364	214	7	37–86	37–86	NUM
ejpam-4364	214	8	,	,	PUNCT
ejpam-4364	214	9	1970	1970	NUM
ejpam-4364	214	10	.	.	PUNCT