id	sid	tid	token	lemma	pos
ejpam-4538	1	1	european	european	PROPN
ejpam-4538	1	2	journal	journal	PROPN
ejpam-4538	1	3	of	of	ADP
ejpam-4538	1	4	pure	pure	ADJ
ejpam-4538	1	5	and	and	CCONJ
ejpam-4538	1	6	applied	apply	VERB
ejpam-4538	1	7	mathematics	mathematic	NOUN
ejpam-4538	1	8	vol	vol	NOUN
ejpam-4538	1	9	.	.	PROPN
ejpam-4538	2	1	15	15	NUM
ejpam-4538	2	2	,	,	PUNCT
ejpam-4538	2	3	no	no	INTJ
ejpam-4538	2	4	.	.	NOUN
ejpam-4538	2	5	4	4	NUM
ejpam-4538	2	6	,	,	PUNCT
ejpam-4538	2	7	2022	2022	NUM
ejpam-4538	2	8	,	,	PUNCT
ejpam-4538	2	9	1683	1683	NUM
ejpam-4538	2	10	-	-	SYM
ejpam-4538	2	11	1693	1693	NUM
ejpam-4538	2	12	issn	issn	PROPN
ejpam-4538	2	13	1307	1307	NUM
ejpam-4538	2	14	-	-	SYM
ejpam-4538	2	15	5543	5543	NUM
ejpam-4538	2	16	–	–	PUNCT
ejpam-4538	2	17	ejpam.com	ejpam.com	X
ejpam-4538	2	18	published	publish	VERB
ejpam-4538	2	19	by	by	ADP
ejpam-4538	2	20	new	new	PROPN
ejpam-4538	2	21	york	york	PROPN
ejpam-4538	2	22	business	business	PROPN
ejpam-4538	2	23	global	global	PROPN
ejpam-4538	2	24	the	the	DET
ejpam-4538	2	25	convergent	convergent	NOUN
ejpam-4538	2	26	properties	property	NOUN
ejpam-4538	2	27	of	of	ADP
ejpam-4538	2	28	a	a	DET
ejpam-4538	2	29	new	new	ADJ
ejpam-4538	2	30	parameter	parameter	NOUN
ejpam-4538	2	31	for	for	ADP
ejpam-4538	2	32	unconstrained	unconstrained	ADJ
ejpam-4538	2	33	optimization	optimization	NOUN
ejpam-4538	2	34	ghada	ghada	NOUN
ejpam-4538	2	35	m.	m.	PROPN
ejpam-4538	2	36	al	al	PROPN
ejpam-4538	2	37	-	-	PUNCT
ejpam-4538	2	38	naemi	naemi	PROPN
ejpam-4538	2	39	department	department	NOUN
ejpam-4538	2	40	of	of	ADP
ejpam-4538	2	41	mathematics	mathematic	NOUN
ejpam-4538	2	42	,	,	PUNCT
ejpam-4538	2	43	faculty	faculty	NOUN
ejpam-4538	2	44	of	of	ADP
ejpam-4538	2	45	computer	computer	NOUN
ejpam-4538	2	46	science	science	NOUN
ejpam-4538	2	47	and	and	CCONJ
ejpam-4538	2	48	mathematics	mathematic	NOUN
ejpam-4538	2	49	,	,	PUNCT
ejpam-4538	2	50	university	university	NOUN
ejpam-4538	2	51	of	of	ADP
ejpam-4538	2	52	mosul	mosul	PROPN
ejpam-4538	2	53	,	,	PUNCT
ejpam-4538	2	54	mosul	mosul	PROPN
ejpam-4538	2	55	,	,	PUNCT
ejpam-4538	2	56	nineveh	nineveh	PROPN
ejpam-4538	2	57	,	,	PUNCT
ejpam-4538	2	58	iraq	iraq	PROPN
ejpam-4538	2	59	abstract	abstract	NOUN
ejpam-4538	2	60	.	.	PUNCT
ejpam-4538	3	1	because	because	SCONJ
ejpam-4538	3	2	of	of	ADP
ejpam-4538	3	3	its	its	PRON
ejpam-4538	3	4	simplicity	simplicity	NOUN
ejpam-4538	3	5	,	,	PUNCT
ejpam-4538	3	6	low	low	ADJ
ejpam-4538	3	7	memory	memory	NOUN
ejpam-4538	3	8	requirement	requirement	NOUN
ejpam-4538	3	9	,	,	PUNCT
ejpam-4538	3	10	low	low	ADJ
ejpam-4538	3	11	computational	computational	ADJ
ejpam-4538	3	12	cost	cost	NOUN
ejpam-4538	3	13	,	,	PUNCT
ejpam-4538	3	14	and	and	CCONJ
ejpam-4538	3	15	global	global	ADJ
ejpam-4538	3	16	convergence	convergence	NOUN
ejpam-4538	3	17	properties	property	NOUN
ejpam-4538	3	18	,	,	PUNCT
ejpam-4538	3	19	the	the	DET
ejpam-4538	3	20	conjugate	conjugate	ADJ
ejpam-4538	3	21	gradient	gradient	NOUN
ejpam-4538	3	22	(	(	PUNCT
ejpam-4538	3	23	cg	cg	NOUN
ejpam-4538	3	24	)	)	PUNCT
ejpam-4538	3	25	method	method	NOUN
ejpam-4538	3	26	is	be	AUX
ejpam-4538	3	27	the	the	DET
ejpam-4538	3	28	most	most	ADV
ejpam-4538	3	29	popular	popular	ADJ
ejpam-4538	3	30	iterative	iterative	NOUN
ejpam-4538	3	31	mathematical	mathematical	ADJ
ejpam-4538	3	32	technique	technique	NOUN
ejpam-4538	3	33	for	for	ADP
ejpam-4538	3	34	optimizing	optimize	VERB
ejpam-4538	3	35	both	both	CCONJ
ejpam-4538	3	36	linear	linear	ADJ
ejpam-4538	3	37	and	and	CCONJ
ejpam-4538	3	38	nonlinear	nonlinear	ADJ
ejpam-4538	3	39	systems	system	NOUN
ejpam-4538	3	40	.	.	PUNCT
ejpam-4538	4	1	some	some	DET
ejpam-4538	4	2	classical	classical	ADJ
ejpam-4538	4	3	cg	cg	NOUN
ejpam-4538	4	4	methods	method	NOUN
ejpam-4538	4	5	,	,	PUNCT
ejpam-4538	4	6	however	however	ADV
ejpam-4538	4	7	,	,	PUNCT
ejpam-4538	4	8	have	have	VERB
ejpam-4538	4	9	drawbacks	drawback	NOUN
ejpam-4538	4	10	such	such	ADJ
ejpam-4538	4	11	as	as	ADP
ejpam-4538	4	12	poor	poor	ADJ
ejpam-4538	4	13	global	global	ADJ
ejpam-4538	4	14	convergence	convergence	NOUN
ejpam-4538	4	15	and	and	CCONJ
ejpam-4538	4	16	numerical	numerical	ADJ
ejpam-4538	4	17	performance	performance	NOUN
ejpam-4538	4	18	in	in	ADP
ejpam-4538	4	19	terms	term	NOUN
ejpam-4538	4	20	of	of	ADP
ejpam-4538	4	21	iterations	iteration	NOUN
ejpam-4538	4	22	and	and	CCONJ
ejpam-4538	4	23	function	function	NOUN
ejpam-4538	4	24	evaluations	evaluation	NOUN
ejpam-4538	4	25	.	.	PUNCT
ejpam-4538	5	1	to	to	PART
ejpam-4538	5	2	address	address	VERB
ejpam-4538	5	3	these	these	DET
ejpam-4538	5	4	shortcomings	shortcoming	NOUN
ejpam-4538	5	5	,	,	PUNCT
ejpam-4538	5	6	researchers	researcher	NOUN
ejpam-4538	5	7	proposed	propose	VERB
ejpam-4538	5	8	new	new	ADJ
ejpam-4538	5	9	cg	cg	NOUN
ejpam-4538	5	10	parameter	parameter	NOUN
ejpam-4538	5	11	variants	variant	NOUN
ejpam-4538	5	12	with	with	ADP
ejpam-4538	5	13	efficient	efficient	ADJ
ejpam-4538	5	14	numerical	numerical	ADJ
ejpam-4538	5	15	results	result	NOUN
ejpam-4538	5	16	and	and	CCONJ
ejpam-4538	5	17	good	good	ADJ
ejpam-4538	5	18	convergence	convergence	NOUN
ejpam-4538	5	19	properties	property	NOUN
ejpam-4538	5	20	.	.	PUNCT
ejpam-4538	6	1	we	we	PRON
ejpam-4538	6	2	present	present	VERB
ejpam-4538	6	3	a	a	DET
ejpam-4538	6	4	new	new	ADJ
ejpam-4538	6	5	conjugate	conjugate	ADJ
ejpam-4538	6	6	gradient	gradient	NOUN
ejpam-4538	6	7	formula	formula	NOUN
ejpam-4538	6	8	βgh	βgh	X
ejpam-4538	7	1	k	k	PROPN
ejpam-4538	7	2	based	base	VERB
ejpam-4538	7	3	on	on	ADP
ejpam-4538	7	4	the	the	DET
ejpam-4538	7	5	memoryless	memoryless	NOUN
ejpam-4538	7	6	self	self	NOUN
ejpam-4538	7	7	-	-	PUNCT
ejpam-4538	7	8	scale	scale	NOUN
ejpam-4538	7	9	dfp	dfp	NOUN
ejpam-4538	7	10	quasi	quasi	PROPN
ejpam-4538	7	11	-	-	PROPN
ejpam-4538	7	12	newton	newton	PROPN
ejpam-4538	7	13	(	(	PUNCT
ejpam-4538	7	14	qn	qn	NOUN
ejpam-4538	7	15	)	)	PUNCT
ejpam-4538	7	16	method	method	NOUN
ejpam-4538	7	17	in	in	ADP
ejpam-4538	7	18	this	this	DET
ejpam-4538	7	19	paper	paper	NOUN
ejpam-4538	7	20	.	.	PUNCT
ejpam-4538	8	1	the	the	DET
ejpam-4538	8	2	proposed	propose	VERB
ejpam-4538	8	3	new	new	ADJ
ejpam-4538	8	4	formula	formula	NOUN
ejpam-4538	8	5	fulfills	fulfill	VERB
ejpam-4538	8	6	the	the	DET
ejpam-4538	8	7	sufficient	sufficient	ADJ
ejpam-4538	8	8	descent	descent	NOUN
ejpam-4538	8	9	property	property	NOUN
ejpam-4538	8	10	and	and	CCONJ
ejpam-4538	8	11	the	the	DET
ejpam-4538	8	12	global	global	ADJ
ejpam-4538	8	13	convergent	convergent	NOUN
ejpam-4538	8	14	condition	condition	NOUN
ejpam-4538	8	15	with	with	ADP
ejpam-4538	8	16	any	any	DET
ejpam-4538	8	17	proposed	propose	VERB
ejpam-4538	8	18	line	line	NOUN
ejpam-4538	8	19	research	research	NOUN
ejpam-4538	8	20	.	.	PUNCT
ejpam-4538	9	1	when	when	SCONJ
ejpam-4538	9	2	the	the	DET
ejpam-4538	9	3	exact	exact	ADJ
ejpam-4538	9	4	line	line	NOUN
ejpam-4538	9	5	search	search	NOUN
ejpam-4538	9	6	is	be	AUX
ejpam-4538	9	7	used	use	VERB
ejpam-4538	9	8	,	,	PUNCT
ejpam-4538	9	9	the	the	DET
ejpam-4538	9	10	proposed	propose	VERB
ejpam-4538	9	11	formula	formula	NOUN
ejpam-4538	9	12	is	be	AUX
ejpam-4538	9	13	reduced	reduce	VERB
ejpam-4538	9	14	to	to	ADP
ejpam-4538	9	15	the	the	DET
ejpam-4538	9	16	classical	classical	ADJ
ejpam-4538	9	17	hs	hs	PROPN
ejpam-4538	9	18	formula	formula	NOUN
ejpam-4538	9	19	.	.	PUNCT
ejpam-4538	10	1	finally	finally	ADV
ejpam-4538	10	2	,	,	PUNCT
ejpam-4538	10	3	we	we	PRON
ejpam-4538	10	4	conclude	conclude	VERB
ejpam-4538	10	5	that	that	SCONJ
ejpam-4538	10	6	our	our	PRON
ejpam-4538	10	7	proposed	propose	VERB
ejpam-4538	10	8	method	method	NOUN
ejpam-4538	10	9	is	be	AUX
ejpam-4538	10	10	effective	effective	ADJ
ejpam-4538	10	11	.	.	PUNCT
ejpam-4538	11	1	2020	2020	NUM
ejpam-4538	11	2	mathematics	mathematic	NOUN
ejpam-4538	11	3	subject	subject	NOUN
ejpam-4538	11	4	classifications	classification	NOUN
ejpam-4538	11	5	:	:	PUNCT
ejpam-4538	11	6	90c30	90c30	NUM
ejpam-4538	11	7	,	,	PUNCT
ejpam-4538	11	8	65k05	65k05	NUM
ejpam-4538	11	9	,	,	PUNCT
ejpam-4538	11	10	90c25	90c25	NUM
ejpam-4538	11	11	,	,	PUNCT
ejpam-4538	11	12	90c26	90c26	NUM
ejpam-4538	11	13	,	,	PUNCT
ejpam-4538	11	14	90c27	90c27	NOUN
ejpam-4538	11	15	key	key	ADJ
ejpam-4538	11	16	words	word	NOUN
ejpam-4538	11	17	and	and	CCONJ
ejpam-4538	11	18	phrases	phrase	NOUN
ejpam-4538	11	19	:	:	PUNCT
ejpam-4538	11	20	conjugate	conjugate	ADJ
ejpam-4538	11	21	gradient	gradient	NOUN
ejpam-4538	11	22	,	,	PUNCT
ejpam-4538	11	23	self	self	NOUN
ejpam-4538	11	24	-	-	PUNCT
ejpam-4538	11	25	scale	scale	NOUN
ejpam-4538	11	26	dfp	dfp	NOUN
ejpam-4538	11	27	,	,	PUNCT
ejpam-4538	11	28	strong	strong	ADJ
ejpam-4538	11	29	wolfe	wolfe	PROPN
ejpam-4538	11	30	-	-	PUNCT
ejpam-4538	11	31	powell	powell	PROPN
ejpam-4538	11	32	line	line	NOUN
ejpam-4538	11	33	search	search	NOUN
ejpam-4538	11	34	,	,	PUNCT
ejpam-4538	11	35	sufficient	sufficient	ADJ
ejpam-4538	11	36	descent	descent	NOUN
ejpam-4538	11	37	property	property	NOUN
ejpam-4538	11	38	1	1	NUM
ejpam-4538	11	39	.	.	PUNCT
ejpam-4538	11	40	introduction	introduction	NOUN
ejpam-4538	11	41	for	for	ADP
ejpam-4538	11	42	solving	solve	VERB
ejpam-4538	11	43	the	the	DET
ejpam-4538	11	44	unconstrained	unconstrained	ADJ
ejpam-4538	11	45	minimization	minimization	NOUN
ejpam-4538	11	46	problem	problem	NOUN
ejpam-4538	11	47	,	,	PUNCT
ejpam-4538	11	48	the	the	DET
ejpam-4538	11	49	quasi	quasi	PROPN
ejpam-4538	11	50	-	-	ADJ
ejpam-4538	11	51	newton	newton	PROPN
ejpam-4538	11	52	methods	method	NOUN
ejpam-4538	11	53	are	be	AUX
ejpam-4538	11	54	extremely	extremely	ADV
ejpam-4538	11	55	useful	useful	ADJ
ejpam-4538	11	56	and	and	CCONJ
ejpam-4538	11	57	efficient	efficient	ADJ
ejpam-4538	11	58	to	to	PART
ejpam-4538	11	59	solve	solve	VERB
ejpam-4538	11	60	.	.	PUNCT
ejpam-4538	12	1	min.z(x	min.z(x	NOUN
ejpam-4538	12	2	)	)	PUNCT
ejpam-4538	12	3	,	,	PUNCT
ejpam-4538	12	4	x	x	PROPN
ejpam-4538	12	5	∈	∈	PROPN
ejpam-4538	12	6	rn	rn	PROPN
ejpam-4538	12	7	(	(	PUNCT
ejpam-4538	12	8	1	1	NUM
ejpam-4538	12	9	)	)	PUNCT
ejpam-4538	12	10	where	where	SCONJ
ejpam-4538	12	11	z	z	NOUN
ejpam-4538	12	12	:	:	PUNCT
ejpam-4538	12	13	rn	rn	PROPN
ejpam-4538	12	14	→	→	SYM
ejpam-4538	12	15	r	r	NOUN
ejpam-4538	12	16	is	be	AUX
ejpam-4538	12	17	twice	twice	ADV
ejpam-4538	12	18	continuously	continuously	ADV
ejpam-4538	12	19	differentiable	differentiable	ADJ
ejpam-4538	13	1	[	[	X
ejpam-4538	13	2	5	5	NUM
ejpam-4538	13	3	]	]	PUNCT
ejpam-4538	13	4	.	.	PUNCT
ejpam-4538	14	1	broyden	broyden	PROPN
ejpam-4538	15	1	[	[	X
ejpam-4538	15	2	2	2	NUM
ejpam-4538	15	3	]	]	PUNCT
ejpam-4538	15	4	introduced	introduce	VERB
ejpam-4538	15	5	the	the	DET
ejpam-4538	15	6	qn	qn	NOUN
ejpam-4538	15	7	family	family	NOUN
ejpam-4538	15	8	of	of	ADP
ejpam-4538	15	9	variable	variable	ADJ
ejpam-4538	15	10	metric	metric	ADJ
ejpam-4538	15	11	formulas	formula	NOUN
ejpam-4538	15	12	in	in	ADP
ejpam-4538	15	13	1970	1970	NUM
ejpam-4538	15	14	,	,	PUNCT
ejpam-4538	15	15	which	which	PRON
ejpam-4538	15	16	is	be	AUX
ejpam-4538	15	17	the	the	DET
ejpam-4538	15	18	most	most	ADV
ejpam-4538	15	19	efficient	efficient	ADJ
ejpam-4538	15	20	technique	technique	NOUN
ejpam-4538	15	21	for	for	ADP
ejpam-4538	15	22	minimizing	minimize	VERB
ejpam-4538	15	23	a	a	DET
ejpam-4538	15	24	non	non	ADJ
ejpam-4538	15	25	-	-	ADJ
ejpam-4538	15	26	linear	linear	ADJ
ejpam-4538	15	27	function	function	NOUN
ejpam-4538	15	28	z(x	z(x	NUM
ejpam-4538	15	29	)	)	PUNCT
ejpam-4538	15	30	.	.	PUNCT
ejpam-4538	16	1	the	the	DET
ejpam-4538	16	2	following	follow	VERB
ejpam-4538	16	3	quasi	quasi	ADJ
ejpam-4538	16	4	-	-	PROPN
ejpam-4538	16	5	newton	newton	PROPN
ejpam-4538	16	6	equation	equation	NOUN
ejpam-4538	16	7	has	have	AUX
ejpam-4538	16	8	traditionally	traditionally	ADV
ejpam-4538	16	9	been	be	AUX
ejpam-4538	16	10	used	use	VERB
ejpam-4538	16	11	to	to	PART
ejpam-4538	16	12	update	update	VERB
ejpam-4538	16	13	the	the	DET
ejpam-4538	16	14	iterate	iterate	NOUN
ejpam-4538	16	15	matrix	matrix	NOUN
ejpam-4538	16	16	:	:	PUNCT
ejpam-4538	16	17	βk+1vk	βk+1vk	PUNCT
ejpam-4538	17	1	=	=	PUNCT
ejpam-4538	17	2	yk	yk	PROPN
ejpam-4538	17	3	(	(	PUNCT
ejpam-4538	17	4	2	2	NUM
ejpam-4538	17	5	)	)	PUNCT
ejpam-4538	17	6	doi	doi	NOUN
ejpam-4538	17	7	:	:	PUNCT
ejpam-4538	17	8	https://doi.org/10.29020/nybg.ejpam.v15i4.4538	https://doi.org/10.29020/nybg.ejpam.v15i4.4538	NOUN
ejpam-4538	17	9	email	email	NOUN
ejpam-4538	17	10	address	address	NOUN
ejpam-4538	17	11	:	:	PUNCT
ejpam-4538	17	12	drghadaalnaemi@uomosul.edu.iq	drghadaalnaemi@uomosul.edu.iq	ADV
ejpam-4538	17	13	(	(	PUNCT
ejpam-4538	17	14	g.	g.	PROPN
ejpam-4538	17	15	m.	m.	PROPN
ejpam-4538	17	16	al	al	PROPN
ejpam-4538	17	17	-	-	PUNCT
ejpam-4538	17	18	naemi	naemi	NOUN
ejpam-4538	17	19	)	)	PUNCT
ejpam-4538	17	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4538	17	21	1683	1683	NUM
ejpam-4538	18	1	©	©	PROPN
ejpam-4538	18	2	2022	2022	NUM
ejpam-4538	18	3	ejpam	ejpam	VERB
ejpam-4538	18	4	all	all	DET
ejpam-4538	18	5	rights	right	NOUN
ejpam-4538	18	6	reserved	reserve	VERB
ejpam-4538	18	7	.	.	PUNCT
ejpam-4538	19	1	g.	g.	PROPN
ejpam-4538	19	2	m.	m.	PROPN
ejpam-4538	20	1	al	al	PROPN
ejpam-4538	20	2	-	-	PUNCT
ejpam-4538	20	3	naemi	naemi	PROPN
ejpam-4538	20	4	/	/	SYM
ejpam-4538	20	5	eur	eur	PROPN
ejpam-4538	20	6	.	.	PUNCT
ejpam-4538	21	1	j.	j.	PROPN
ejpam-4538	21	2	pure	pure	PROPN
ejpam-4538	21	3	appl	appl	PROPN
ejpam-4538	21	4	.	.	PROPN
ejpam-4538	21	5	math	math	PROPN
ejpam-4538	21	6	,	,	PUNCT
ejpam-4538	21	7	15	15	NUM
ejpam-4538	21	8	(	(	PUNCT
ejpam-4538	21	9	4	4	NUM
ejpam-4538	21	10	)	)	PUNCT
ejpam-4538	21	11	(	(	PUNCT
ejpam-4538	21	12	2022	2022	NUM
ejpam-4538	21	13	)	)	PUNCT
ejpam-4538	21	14	,	,	PUNCT
ejpam-4538	21	15	1683	1683	NUM
ejpam-4538	21	16	-	-	SYM
ejpam-4538	21	17	1693	1693	NUM
ejpam-4538	21	18	1684	1684	NUM
ejpam-4538	21	19	we	we	PRON
ejpam-4538	21	20	have	have	VERB
ejpam-4538	21	21	vk	vk	NOUN
ejpam-4538	21	22	=	=	SYM
ejpam-4538	21	23	γkdk	γkdk	NOUN
ejpam-4538	22	1	=	=	PUNCT
ejpam-4538	22	2	xk+1	xk+1	PROPN
ejpam-4538	23	1	−	−	PROPN
ejpam-4538	23	2	xk	xk	PROPN
ejpam-4538	23	3	,	,	PUNCT
ejpam-4538	23	4	and	and	CCONJ
ejpam-4538	23	5	yk	yk	PROPN
ejpam-4538	23	6	=	=	PUNCT
ejpam-4538	23	7	gk+1	gk+1	PROPN
ejpam-4538	23	8	−	−	PROPN
ejpam-4538	23	9	gk	gk	PROPN
ejpam-4538	23	10	(	(	PUNCT
ejpam-4538	23	11	3	3	NUM
ejpam-4538	23	12	)	)	PUNCT
ejpam-4538	23	13	where	where	SCONJ
ejpam-4538	23	14	γk	γk	PROPN
ejpam-4538	23	15	>	>	X
ejpam-4538	23	16	0	0	NUM
ejpam-4538	23	17	is	be	AUX
ejpam-4538	23	18	determined	determine	VERB
ejpam-4538	23	19	by	by	ADP
ejpam-4538	23	20	a	a	DET
ejpam-4538	23	21	suitable	suitable	ADJ
ejpam-4538	23	22	line	line	NOUN
ejpam-4538	23	23	search	search	NOUN
ejpam-4538	23	24	.	.	PUNCT
ejpam-4538	24	1	iterative	iterative	NOUN
ejpam-4538	24	2	methods	method	NOUN
ejpam-4538	24	3	are	be	AUX
ejpam-4538	24	4	commonly	commonly	ADV
ejpam-4538	24	5	used	use	VERB
ejpam-4538	24	6	to	to	PART
ejpam-4538	24	7	solve	solve	VERB
ejpam-4538	24	8	(	(	PUNCT
ejpam-4538	24	9	1	1	NUM
ejpam-4538	24	10	)	)	PUNCT
ejpam-4538	24	11	,	,	PUNCT
ejpam-4538	24	12	and	and	CCONJ
ejpam-4538	24	13	the	the	DET
ejpam-4538	24	14	iterative	iterative	NOUN
ejpam-4538	24	15	formula	formula	NOUN
ejpam-4538	24	16	is	be	AUX
ejpam-4538	24	17	as	as	SCONJ
ejpam-4538	24	18	follows	follow	VERB
ejpam-4538	24	19	:	:	PUNCT
ejpam-4538	24	20	xk+1	xk+1	PROPN
ejpam-4538	25	1	=	=	SYM
ejpam-4538	25	2	xk	xk	PROPN
ejpam-4538	26	1	+	+	CCONJ
ejpam-4538	26	2	γkdk	γkdk	NOUN
ejpam-4538	26	3	,	,	PUNCT
ejpam-4538	26	4	k	k	PROPN
ejpam-4538	26	5	=	=	SYM
ejpam-4538	26	6	0	0	NUM
ejpam-4538	26	7	,	,	PUNCT
ejpam-4538	26	8	1	1	NUM
ejpam-4538	26	9	,	,	PUNCT
ejpam-4538	26	10	2	2	NUM
ejpam-4538	26	11	,	,	PUNCT
ejpam-4538	26	12	3	3	NUM
ejpam-4538	26	13	,	,	PUNCT
ejpam-4538	26	14	.	.	PUNCT
ejpam-4538	26	15	.	.	PUNCT
ejpam-4538	27	1	.	.	PUNCT
ejpam-4538	28	1	,	,	PUNCT
ejpam-4538	28	2	(	(	PUNCT
ejpam-4538	28	3	4	4	X
ejpam-4538	28	4	)	)	PUNCT
ejpam-4538	28	5	if	if	SCONJ
ejpam-4538	28	6	hk	hk	PROPN
ejpam-4538	28	7	is	be	AUX
ejpam-4538	28	8	to	to	PART
ejpam-4538	28	9	be	be	AUX
ejpam-4538	28	10	regarded	regard	VERB
ejpam-4538	28	11	as	as	ADP
ejpam-4538	28	12	a	a	DET
ejpam-4538	28	13	close	close	ADJ
ejpam-4538	28	14	approximation	approximation	NOUN
ejpam-4538	28	15	to	to	ADP
ejpam-4538	28	16	b−1	b−1	PROPN
ejpam-4538	28	17	k	k	PROPN
ejpam-4538	28	18	,	,	PUNCT
ejpam-4538	28	19	it	it	PRON
ejpam-4538	28	20	follows	follow	VERB
ejpam-4538	28	21	that	that	SCONJ
ejpam-4538	28	22	:	:	PUNCT
ejpam-4538	28	23	hk+1yk	hk+1yk	X
ejpam-4538	28	24	=	=	SYM
ejpam-4538	29	1	vk	vk	X
ejpam-4538	29	2	(	(	PUNCT
ejpam-4538	29	3	5	5	NUM
ejpam-4538	29	4	)	)	PUNCT
ejpam-4538	29	5	the	the	DET
ejpam-4538	29	6	direction	direction	NOUN
ejpam-4538	29	7	dk	dk	PROPN
ejpam-4538	29	8	is	be	AUX
ejpam-4538	29	9	obtained	obtain	VERB
ejpam-4538	29	10	by	by	ADP
ejpam-4538	29	11	solving	solve	VERB
ejpam-4538	29	12	the	the	DET
ejpam-4538	29	13	equation	equation	NOUN
ejpam-4538	29	14	the	the	DET
ejpam-4538	29	15	updating	update	VERB
ejpam-4538	29	16	matrix	matrix	NOUN
ejpam-4538	29	17	bk	bk	NOUN
ejpam-4538	29	18	is	be	AUX
ejpam-4538	29	19	required	require	VERB
ejpam-4538	29	20	to	to	PART
ejpam-4538	29	21	satisfy	satisfy	VERB
ejpam-4538	29	22	the	the	DET
ejpam-4538	29	23	equation	equation	NOUN
ejpam-4538	29	24	(	(	PUNCT
ejpam-4538	29	25	2	2	NUM
ejpam-4538	29	26	)	)	PUNCT
ejpam-4538	29	27	and	and	CCONJ
ejpam-4538	29	28	the	the	DET
ejpam-4538	29	29	usual	usual	ADJ
ejpam-4538	29	30	quasi	quasi	PROPN
ejpam-4538	29	31	-	-	ADJ
ejpam-4538	29	32	newton	newton	PROPN
ejpam-4538	29	33	equation	equation	NOUN
ejpam-4538	29	34	(	(	PUNCT
ejpam-4538	29	35	5	5	NUM
ejpam-4538	29	36	)	)	PUNCT
ejpam-4538	29	37	.	.	PUNCT
ejpam-4538	30	1	dk	dk	X
ejpam-4538	30	2	=	=	PUNCT
ejpam-4538	30	3	−hkgk	−hkgk	X
ejpam-4538	30	4	(	(	PUNCT
ejpam-4538	30	5	6	6	NUM
ejpam-4538	30	6	)	)	PUNCT
ejpam-4538	30	7	the	the	DET
ejpam-4538	30	8	nonlinear	nonlinear	ADJ
ejpam-4538	30	9	conjugate	conjugate	ADJ
ejpam-4538	30	10	gradient	gradient	NOUN
ejpam-4538	30	11	(	(	PUNCT
ejpam-4538	30	12	cg	cg	NOUN
ejpam-4538	30	13	)	)	PUNCT
ejpam-4538	30	14	method	method	NOUN
ejpam-4538	30	15	is	be	AUX
ejpam-4538	30	16	one	one	NUM
ejpam-4538	30	17	of	of	ADP
ejpam-4538	30	18	the	the	DET
ejpam-4538	30	19	most	most	ADV
ejpam-4538	30	20	well	well	ADV
ejpam-4538	30	21	-	-	PUNCT
ejpam-4538	30	22	known	know	VERB
ejpam-4538	30	23	methods	method	NOUN
ejpam-4538	30	24	for	for	ADP
ejpam-4538	30	25	solving	solve	VERB
ejpam-4538	30	26	the	the	DET
ejpam-4538	30	27	unconstrained	unconstrained	ADJ
ejpam-4538	30	28	optimization	optimization	NOUN
ejpam-4538	30	29	problem	problem	NOUN
ejpam-4538	30	30	(	(	PUNCT
ejpam-4538	30	31	1	1	NUM
ejpam-4538	30	32	)	)	PUNCT
ejpam-4538	30	33	,	,	PUNCT
ejpam-4538	30	34	which	which	PRON
ejpam-4538	30	35	is	be	AUX
ejpam-4538	30	36	especially	especially	ADV
ejpam-4538	30	37	useful	useful	ADJ
ejpam-4538	30	38	when	when	SCONJ
ejpam-4538	30	39	the	the	DET
ejpam-4538	30	40	dimension	dimension	NOUN
ejpam-4538	30	41	n	n	X
ejpam-4538	30	42	of	of	ADP
ejpam-4538	30	43	z(x	z(x	NUM
ejpam-4538	30	44	)	)	PUNCT
ejpam-4538	30	45	is	be	AUX
ejpam-4538	30	46	large	large	ADJ
ejpam-4538	30	47	[	[	X
ejpam-4538	30	48	7	7	NUM
ejpam-4538	30	49	]	]	PUNCT
ejpam-4538	30	50	.	.	PUNCT
ejpam-4538	31	1	this	this	PRON
ejpam-4538	31	2	is	be	AUX
ejpam-4538	31	3	because	because	SCONJ
ejpam-4538	31	4	the	the	DET
ejpam-4538	31	5	iteration	iteration	NOUN
ejpam-4538	31	6	is	be	AUX
ejpam-4538	31	7	simple	simple	ADJ
ejpam-4538	31	8	and	and	CCONJ
ejpam-4538	31	9	requires	require	VERB
ejpam-4538	31	10	little	little	ADJ
ejpam-4538	31	11	memory	memory	NOUN
ejpam-4538	31	12	.	.	PUNCT
ejpam-4538	32	1	the	the	DET
ejpam-4538	32	2	search	search	NOUN
ejpam-4538	32	3	direction	direction	NOUN
ejpam-4538	32	4	is	be	AUX
ejpam-4538	32	5	typically	typically	ADV
ejpam-4538	32	6	defined	define	VERB
ejpam-4538	32	7	as	as	ADP
ejpam-4538	32	8	:	:	PUNCT
ejpam-4538	32	9	dk	dk	X
ejpam-4538	32	10	=	=	X
ejpam-4538	32	11	{	{	PUNCT
ejpam-4538	32	12	−gk	−gk	NOUN
ejpam-4538	32	13	,	,	PUNCT
ejpam-4538	32	14	k	k	PROPN
ejpam-4538	33	1	=	=	SYM
ejpam-4538	33	2	0	0	NUM
ejpam-4538	33	3	−gk	−gk	NOUN
ejpam-4538	33	4	+	+	CCONJ
ejpam-4538	33	5	βkdk−1	βkdk−1	ADJ
ejpam-4538	33	6	,	,	PUNCT
ejpam-4538	33	7	k	k	PROPN
ejpam-4538	33	8	≥	≥	NUM
ejpam-4538	33	9	1	1	NUM
ejpam-4538	33	10	(	(	PUNCT
ejpam-4538	33	11	7	7	NUM
ejpam-4538	33	12	)	)	PUNCT
ejpam-4538	33	13	βk	βk	ADP
ejpam-4538	33	14	∈	∈	PROPN
ejpam-4538	33	15	r	r	NOUN
ejpam-4538	33	16	,	,	PUNCT
ejpam-4538	33	17	characterized	characterize	VERB
ejpam-4538	33	18	the	the	DET
ejpam-4538	33	19	cg	cg	NOUN
ejpam-4538	33	20	-	-	PUNCT
ejpam-4538	33	21	method	method	NOUN
ejpam-4538	33	22	.	.	PUNCT
ejpam-4538	34	1	if	if	SCONJ
ejpam-4538	34	2	f(x	f(x	PROPN
ejpam-4538	34	3	)	)	PUNCT
ejpam-4538	34	4	is	be	AUX
ejpam-4538	34	5	a	a	DET
ejpam-4538	34	6	strictly	strictly	ADV
ejpam-4538	34	7	convex	convex	ADJ
ejpam-4538	34	8	quadratic	quadratic	ADJ
ejpam-4538	34	9	function	function	NOUN
ejpam-4538	34	10	with	with	ADP
ejpam-4538	34	11	exact	exact	ADJ
ejpam-4538	34	12	line	line	NOUN
ejpam-4538	34	13	search	search	NOUN
ejpam-4538	34	14	,	,	PUNCT
ejpam-4538	34	15	the	the	DET
ejpam-4538	34	16	parameter	parameter	NOUN
ejpam-4538	34	17	βk	βk	NOUN
ejpam-4538	34	18	is	be	AUX
ejpam-4538	34	19	typically	typically	ADV
ejpam-4538	34	20	chosen	choose	VERB
ejpam-4538	34	21	to	to	PART
ejpam-4538	34	22	reduce	reduce	VERB
ejpam-4538	34	23	the	the	DET
ejpam-4538	34	24	linear	linear	ADJ
ejpam-4538	34	25	cg	cg	NOUN
ejpam-4538	34	26	-	-	PUNCT
ejpam-4538	34	27	method	method	NOUN
ejpam-4538	34	28	in	in	ADP
ejpam-4538	34	29	(	(	PUNCT
ejpam-4538	34	30	4	4	NUM
ejpam-4538	34	31	)	)	PUNCT
ejpam-4538	34	32	and	and	CCONJ
ejpam-4538	34	33	(	(	PUNCT
ejpam-4538	34	34	7	7	NUM
ejpam-4538	34	35	)	)	PUNCT
ejpam-4538	34	36	.	.	PUNCT
ejpam-4538	35	1	[	[	X
ejpam-4538	35	2	12][11][18][19][10][15][9	12][11][18][19][10][15][9	X
ejpam-4538	35	3	]	]	PUNCT
ejpam-4538	35	4	define	define	VERB
ejpam-4538	35	5	the	the	DET
ejpam-4538	35	6	six	six	NUM
ejpam-4538	35	7	pioneering	pioneering	ADJ
ejpam-4538	35	8	forms	form	NOUN
ejpam-4538	35	9	of	of	ADP
ejpam-4538	35	10	βk	βk	PROPN
ejpam-4538	35	11	.	.	PUNCT
ejpam-4538	35	12	βhs	βhs	PROPN
ejpam-4538	36	1	k	k	PROPN
ejpam-4538	36	2	=	=	PUNCT
ejpam-4538	36	3	gtk	gtk	PROPN
ejpam-4538	36	4	yk−1	yk−1	PROPN
ejpam-4538	36	5	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4538	36	6	;	;	PUNCT
ejpam-4538	36	7	βfr	βfr	PROPN
ejpam-4538	36	8	k	k	PROPN
ejpam-4538	36	9	=	=	SYM
ejpam-4538	36	10	gtk	gtk	PROPN
ejpam-4538	36	11	gk	gk	PROPN
ejpam-4538	36	12	gtk−1gk−1	gtk−1gk−1	PROPN
ejpam-4538	36	13	;	;	PUNCT
ejpam-4538	36	14	βprp	βprp	ADJ
ejpam-4538	36	15	k	k	NOUN
ejpam-4538	36	16	=	=	SYM
ejpam-4538	36	17	gtk	gtk	PROPN
ejpam-4538	36	18	yk−1	yk−1	PROPN
ejpam-4538	36	19	gtk−1gk−1	gtk−1gk−1	NOUN
ejpam-4538	36	20	;	;	PUNCT
ejpam-4538	36	21	βcd	βcd	NUM
ejpam-4538	36	22	k	k	X
ejpam-4538	37	1	=	=	SYM
ejpam-4538	37	2	gtk	gtk	PROPN
ejpam-4538	37	3	gk	gk	PROPN
ejpam-4538	37	4	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4538	37	5	;	;	PUNCT
ejpam-4538	37	6	βlsk	βlsk	PROPN
ejpam-4538	37	7	=	=	PUNCT
ejpam-4538	37	8	gtk	gtk	NOUN
ejpam-4538	37	9	yk−1	yk−1	PROPN
ejpam-4538	37	10	−gtk−1dk−1	−gtk−1dk−1	NOUN
ejpam-4538	37	11	;	;	PUNCT
ejpam-4538	37	12	βdy	βdy	NOUN
ejpam-4538	37	13	k	k	PROPN
ejpam-4538	37	14	=	=	SYM
ejpam-4538	37	15	gtk	gtk	PROPN
ejpam-4538	37	16	gk	gk	PROPN
ejpam-4538	37	17	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4538	37	18	;	;	PUNCT
ejpam-4538	37	19	many	many	ADJ
ejpam-4538	37	20	of	of	ADP
ejpam-4538	37	21	the	the	DET
ejpam-4538	37	22	classic	classic	ADJ
ejpam-4538	37	23	parameters	parameter	NOUN
ejpam-4538	37	24	βk	βk	AUX
ejpam-4538	37	25	mentioned	mention	VERB
ejpam-4538	37	26	above	above	ADV
ejpam-4538	37	27	have	have	AUX
ejpam-4538	37	28	been	be	AUX
ejpam-4538	37	29	modified	modify	VERB
ejpam-4538	37	30	by	by	ADP
ejpam-4538	37	31	a	a	DET
ejpam-4538	37	32	group	group	NOUN
ejpam-4538	37	33	of	of	ADP
ejpam-4538	37	34	researchers	researcher	NOUN
ejpam-4538	37	35	,	,	PUNCT
ejpam-4538	37	36	and	and	CCONJ
ejpam-4538	37	37	another	another	DET
ejpam-4538	37	38	group	group	NOUN
ejpam-4538	37	39	has	have	AUX
ejpam-4538	37	40	derived	derive	VERB
ejpam-4538	37	41	or	or	CCONJ
ejpam-4538	37	42	imposed	impose	VERB
ejpam-4538	37	43	new	new	ADJ
ejpam-4538	37	44	parameters	parameter	NOUN
ejpam-4538	37	45	βk	βk	ADP
ejpam-4538	37	46	;	;	PUNCT
ejpam-4538	37	47	however	however	ADV
ejpam-4538	37	48	,	,	PUNCT
ejpam-4538	37	49	not	not	PART
ejpam-4538	37	50	all	all	PRON
ejpam-4538	37	51	of	of	ADP
ejpam-4538	37	52	them	they	PRON
ejpam-4538	37	53	can	can	AUX
ejpam-4538	37	54	be	be	AUX
ejpam-4538	37	55	included	include	VERB
ejpam-4538	37	56	in	in	ADP
ejpam-4538	37	57	a	a	DET
ejpam-4538	37	58	research	research	NOUN
ejpam-4538	37	59	,	,	PUNCT
ejpam-4538	37	60	for	for	ADP
ejpam-4538	37	61	example	example	NOUN
ejpam-4538	37	62	,	,	PUNCT
ejpam-4538	37	63	see	see	VERB
ejpam-4538	37	64	[	[	X
ejpam-4538	37	65	13][21][16][1][22	13][21][16][1][22	NUM
ejpam-4538	37	66	]	]	PUNCT
ejpam-4538	37	67	.	.	PUNCT
ejpam-4538	38	1	to	to	PART
ejpam-4538	38	2	determine	determine	VERB
ejpam-4538	38	3	the	the	DET
ejpam-4538	38	4	convergence	convergence	NOUN
ejpam-4538	38	5	conditions	condition	NOUN
ejpam-4538	38	6	of	of	ADP
ejpam-4538	38	7	above	above	ADJ
ejpam-4538	38	8	methods	method	NOUN
ejpam-4538	38	9	,	,	PUNCT
ejpam-4538	38	10	it	it	PRON
ejpam-4538	38	11	is	be	AUX
ejpam-4538	38	12	usually	usually	ADV
ejpam-4538	38	13	necessary	necessary	ADJ
ejpam-4538	38	14	that	that	SCONJ
ejpam-4538	38	15	the	the	DET
ejpam-4538	38	16	step	step	NOUN
ejpam-4538	38	17	size	size	NOUN
ejpam-4538	38	18	γk	γk	PART
ejpam-4538	38	19	verify	verify	VERB
ejpam-4538	38	20	some	some	DET
ejpam-4538	38	21	properties	property	NOUN
ejpam-4538	38	22	,	,	PUNCT
ejpam-4538	38	23	one	one	NUM
ejpam-4538	38	24	of	of	ADP
ejpam-4538	38	25	which	which	PRON
ejpam-4538	38	26	is	be	AUX
ejpam-4538	38	27	the	the	DET
ejpam-4538	38	28	strong	strong	ADJ
ejpam-4538	38	29	wolfe	wolfe	PROPN
ejpam-4538	38	30	-	-	PUNCT
ejpam-4538	38	31	powel	powel	NOUN
ejpam-4538	38	32	line	line	NOUN
ejpam-4538	38	33	search	search	NOUN
ejpam-4538	38	34	(	(	PUNCT
ejpam-4538	38	35	swp	swp	NOUN
ejpam-4538	38	36	):	):	PUNCT
ejpam-4538	38	37	f(xk	f(xk	PROPN
ejpam-4538	38	38	+	+	CCONJ
ejpam-4538	38	39	γkdk	γkdk	NOUN
ejpam-4538	38	40	)	)	PUNCT
ejpam-4538	38	41	≤	≤	NUM
ejpam-4538	38	42	f(xk	f(xk	PROPN
ejpam-4538	38	43	)	)	PUNCT
ejpam-4538	38	44	+	+	CCONJ
ejpam-4538	38	45	ργkdk	ργkdk	NOUN
ejpam-4538	38	46	(	(	PUNCT
ejpam-4538	38	47	8)	8)	NUM
ejpam-4538	38	48	|g(xk	|g(xk	ADJ
ejpam-4538	38	49	+	+	SYM
ejpam-4538	38	50	γkdk	γkdk	NOUN
ejpam-4538	38	51	)	)	PUNCT
ejpam-4538	38	52	tdk|	tdk|	NOUN
ejpam-4538	38	53	≤	≤	NUM
ejpam-4538	38	54	σ|gtk	σ|gtk	NOUN
ejpam-4538	38	55	dk|	dk|	NOUN
ejpam-4538	38	56	(	(	PUNCT
ejpam-4538	38	57	9	9	NUM
ejpam-4538	38	58	)	)	PUNCT
ejpam-4538	38	59	where	where	SCONJ
ejpam-4538	38	60	0	0	NUM
ejpam-4538	38	61	<	<	X
ejpam-4538	38	62	σ	σ	X
ejpam-4538	38	63	<	<	X
ejpam-4538	38	64	0.5	0.5	NUM
ejpam-4538	38	65	<	<	X
ejpam-4538	38	66	ρ	ρ	PROPN
ejpam-4538	38	67	<	<	X
ejpam-4538	38	68	1	1	NUM
ejpam-4538	38	69	are	be	AUX
ejpam-4538	38	70	some	some	DET
ejpam-4538	38	71	fixed	fix	VERB
ejpam-4538	38	72	parameters	parameter	NOUN
ejpam-4538	38	73	.	.	PUNCT
ejpam-4538	39	1	the	the	DET
ejpam-4538	39	2	step	step	NOUN
ejpam-4538	39	3	-	-	PUNCT
ejpam-4538	39	4	size	size	NOUN
ejpam-4538	39	5	γk	γk	NOUN
ejpam-4538	39	6	plays	play	VERB
ejpam-4538	39	7	an	an	DET
ejpam-4538	39	8	essential	essential	ADJ
ejpam-4538	39	9	when	when	SCONJ
ejpam-4538	39	10	investigating	investigate	VERB
ejpam-4538	39	11	the	the	DET
ejpam-4538	39	12	sufficient	sufficient	ADJ
ejpam-4538	39	13	descent	descent	NOUN
ejpam-4538	39	14	condition	condition	NOUN
ejpam-4538	39	15	g.	g.	PROPN
ejpam-4538	39	16	m.	m.	PROPN
ejpam-4538	40	1	al	al	PROPN
ejpam-4538	40	2	-	-	PUNCT
ejpam-4538	40	3	naemi	naemi	PROPN
ejpam-4538	40	4	/	/	SYM
ejpam-4538	40	5	eur	eur	PROPN
ejpam-4538	40	6	.	.	PUNCT
ejpam-4538	41	1	j.	j.	PROPN
ejpam-4538	41	2	pure	pure	PROPN
ejpam-4538	41	3	appl	appl	PROPN
ejpam-4538	41	4	.	.	PROPN
ejpam-4538	41	5	math	math	PROPN
ejpam-4538	41	6	,	,	PUNCT
ejpam-4538	41	7	15	15	NUM
ejpam-4538	41	8	(	(	PUNCT
ejpam-4538	41	9	4	4	NUM
ejpam-4538	41	10	)	)	PUNCT
ejpam-4538	41	11	(	(	PUNCT
ejpam-4538	41	12	2022	2022	NUM
ejpam-4538	41	13	)	)	PUNCT
ejpam-4538	41	14	,	,	PUNCT
ejpam-4538	41	15	1683	1683	NUM
ejpam-4538	41	16	-	-	SYM
ejpam-4538	41	17	1693	1693	NUM
ejpam-4538	41	18	1685	1685	NUM
ejpam-4538	41	19	gtk	gtk	NOUN
ejpam-4538	41	20	dk	dk	PROPN
ejpam-4538	41	21	<	<	X
ejpam-4538	41	22	−ω||gk||2	−ω||gk||2	PROPN
ejpam-4538	41	23	,	,	PUNCT
ejpam-4538	41	24	ω	ω	X
ejpam-4538	41	25	>	>	X
ejpam-4538	41	26	0	0	PUNCT
ejpam-4538	42	1	(	(	PUNCT
ejpam-4538	42	2	10	10	NUM
ejpam-4538	42	3	)	)	PUNCT
ejpam-4538	42	4	and	and	CCONJ
ejpam-4538	42	5	global	global	ADJ
ejpam-4538	42	6	convergence	convergence	NOUN
ejpam-4538	42	7	properties	property	NOUN
ejpam-4538	42	8	lim	lim	PROPN
ejpam-4538	42	9	k→∞	k→∞	PROPN
ejpam-4538	42	10	||gk||2	||gk||2	PROPN
ejpam-4538	42	11	=	=	SYM
ejpam-4538	42	12	0	0	NUM
ejpam-4538	42	13	(	(	PUNCT
ejpam-4538	42	14	11	11	NUM
ejpam-4538	42	15	)	)	SYM
ejpam-4538	42	16	2	2	NUM
ejpam-4538	42	17	.	.	PUNCT
ejpam-4538	43	1	new	new	ADJ
ejpam-4538	43	2	formulas	formula	NOUN
ejpam-4538	43	3	for	for	ADP
ejpam-4538	43	4	β	β	NOUN
ejpam-4538	43	5	’s	’	NOUN
ejpam-4538	43	6	and	and	CCONJ
ejpam-4538	43	7	its	its	PRON
ejpam-4538	43	8	algorithm	algorithm	NOUN
ejpam-4538	43	9	the	the	DET
ejpam-4538	43	10	dfp	dfp	PROPN
ejpam-4538	43	11	update	update	NOUN
ejpam-4538	43	12	was	be	AUX
ejpam-4538	43	13	first	first	ADV
ejpam-4538	43	14	proposed	propose	VERB
ejpam-4538	43	15	by	by	ADP
ejpam-4538	43	16	davidon	davidon	NOUN
ejpam-4538	43	17	,	,	PUNCT
ejpam-4538	43	18	and	and	CCONJ
ejpam-4538	43	19	popularized	popularize	VERB
ejpam-4538	43	20	by	by	ADP
ejpam-4538	43	21	fletcher	fletcher	PROPN
ejpam-4538	43	22	and	and	CCONJ
ejpam-4538	43	23	powell	powell	PROPN
ejpam-4538	43	24	.	.	PUNCT
ejpam-4538	44	1	the	the	DET
ejpam-4538	44	2	dfp	dfp	NOUN
ejpam-4538	44	3	formula	formula	NOUN
ejpam-4538	44	4	can	can	AUX
ejpam-4538	44	5	be	be	AUX
ejpam-4538	44	6	expressed	express	VERB
ejpam-4538	44	7	as	as	SCONJ
ejpam-4538	44	8	follows	follow	VERB
ejpam-4538	44	9	:	:	PUNCT
ejpam-4538	44	10	hk	hk	PROPN
ejpam-4538	44	11	=	=	PUNCT
ejpam-4538	45	1	[	[	PUNCT
ejpam-4538	45	2	hk−1	hk−1	NOUN
ejpam-4538	45	3	+	+	CCONJ
ejpam-4538	46	1	vk−1v	vk−1v	NUM
ejpam-4538	46	2	t	t	NOUN
ejpam-4538	46	3	k−1	k−1	PROPN
ejpam-4538	46	4	ytk−1vk−1	ytk−1vk−1	X
ejpam-4538	47	1	−	−	PROPN
ejpam-4538	47	2	hk−1yk−1y	hk−1yk−1y	PROPN
ejpam-4538	47	3	t	t	PROPN
ejpam-4538	47	4	k−1hk−1	k−1hk−1	VERB
ejpam-4538	47	5	ytk−1hk−1yk−1	ytk−1hk−1yk−1	PRON
ejpam-4538	47	6	]	]	PUNCT
ejpam-4538	47	7	(	(	PUNCT
ejpam-4538	47	8	12	12	NUM
ejpam-4538	47	9	)	)	PUNCT
ejpam-4538	47	10	to	to	PART
ejpam-4538	47	11	scale	scale	VERB
ejpam-4538	47	12	the	the	DET
ejpam-4538	47	13	hessian	hessian	ADJ
ejpam-4538	47	14	matrix	matrix	NOUN
ejpam-4538	47	15	hk	hk	PROPN
ejpam-4538	47	16	,	,	PUNCT
ejpam-4538	47	17	we	we	PRON
ejpam-4538	47	18	will	will	AUX
ejpam-4538	47	19	use	use	VERB
ejpam-4538	47	20	the	the	DET
ejpam-4538	47	21	self	self	NOUN
ejpam-4538	47	22	-	-	PUNCT
ejpam-4538	47	23	scaling	scale	VERB
ejpam-4538	47	24	quasi	quasi	NOUN
ejpam-4538	47	25	-	-	ADJ
ejpam-4538	47	26	newton	newton	PROPN
ejpam-4538	47	27	method	method	NOUN
ejpam-4538	47	28	.	.	PUNCT
ejpam-4538	48	1	oren	oren	NOUN
ejpam-4538	49	1	[	[	X
ejpam-4538	49	2	17	17	NUM
ejpam-4538	49	3	]	]	PUNCT
ejpam-4538	49	4	introduced	introduce	VERB
ejpam-4538	49	5	self	self	NOUN
ejpam-4538	49	6	-	-	PUNCT
ejpam-4538	49	7	scaling	scale	VERB
ejpam-4538	49	8	variable	variable	ADJ
ejpam-4538	49	9	metric	metric	ADJ
ejpam-4538	49	10	algorithms	algorithm	NOUN
ejpam-4538	49	11	,	,	PUNCT
ejpam-4538	49	12	which	which	PRON
ejpam-4538	49	13	are	be	AUX
ejpam-4538	49	14	defined	define	VERB
ejpam-4538	49	15	as	as	ADP
ejpam-4538	49	16	ηk−1	ηk−1	NOUN
ejpam-4538	49	17	=	=	PUNCT
ejpam-4538	49	18	vtk−1yk−1	vtk−1yk−1	NOUN
ejpam-4538	49	19	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	49	20	(	(	PUNCT
ejpam-4538	49	21	13	13	NUM
ejpam-4538	49	22	)	)	PUNCT
ejpam-4538	49	23	which	which	PRON
ejpam-4538	49	24	is	be	AUX
ejpam-4538	49	25	a	a	DET
ejpam-4538	49	26	well	well	ADV
ejpam-4538	49	27	-	-	PUNCT
ejpam-4538	49	28	known	know	VERB
ejpam-4538	49	29	and	and	CCONJ
ejpam-4538	49	30	effective	effective	ADJ
ejpam-4538	49	31	adaptive	adaptive	ADJ
ejpam-4538	49	32	formula	formula	NOUN
ejpam-4538	49	33	.	.	PUNCT
ejpam-4538	50	1	our	our	PRON
ejpam-4538	50	2	proposed	propose	VERB
ejpam-4538	50	3	method	method	NOUN
ejpam-4538	50	4	’s	’s	PART
ejpam-4538	50	5	general	general	ADJ
ejpam-4538	50	6	strategy	strategy	NOUN
ejpam-4538	50	7	is	be	AUX
ejpam-4538	50	8	to	to	PART
ejpam-4538	50	9	scale	scale	VERB
ejpam-4538	50	10	all	all	DET
ejpam-4538	50	11	dfp	dfp	PROPN
ejpam-4538	50	12	terms	term	NOUN
ejpam-4538	50	13	,	,	PUNCT
ejpam-4538	50	14	i.e.	i.e.	X
ejpam-4538	50	15	update	update	VERB
ejpam-4538	50	16	the	the	DET
ejpam-4538	50	17	matrix	matrix	NOUN
ejpam-4538	50	18	by	by	ADP
ejpam-4538	50	19	self	self	NOUN
ejpam-4538	50	20	-	-	PUNCT
ejpam-4538	50	21	scaling	scale	VERB
ejpam-4538	50	22	dfp	dfp	NOUN
ejpam-4538	50	23	of	of	ADP
ejpam-4538	50	24	the	the	DET
ejpam-4538	50	25	form	form	NOUN
ejpam-4538	50	26	hk	hk	PROPN
ejpam-4538	50	27	=	=	PROPN
ejpam-4538	50	28	ηk−1	ηk−1	PROPN
ejpam-4538	50	29	[	[	PUNCT
ejpam-4538	50	30	hk−1	hk−1	PROPN
ejpam-4538	50	31	+	+	CCONJ
ejpam-4538	51	1	vk−1v	vk−1v	NUM
ejpam-4538	51	2	t	t	NOUN
ejpam-4538	51	3	k−1	k−1	PROPN
ejpam-4538	51	4	ytk−1vk−1	ytk−1vk−1	X
ejpam-4538	52	1	−	−	PROPN
ejpam-4538	52	2	hk−1yk−1y	hk−1yk−1y	PROPN
ejpam-4538	52	3	t	t	PROPN
ejpam-4538	52	4	k−1hk−1	k−1hk−1	VERB
ejpam-4538	52	5	ytk−1hk−1yk−1	ytk−1hk−1yk−1	PRON
ejpam-4538	52	6	]	]	PUNCT
ejpam-4538	52	7	(	(	PUNCT
ejpam-4538	52	8	14	14	NUM
ejpam-4538	52	9	)	)	PUNCT
ejpam-4538	52	10	the	the	DET
ejpam-4538	52	11	preceding	precede	VERB
ejpam-4538	52	12	self	self	NOUN
ejpam-4538	52	13	-	-	PUNCT
ejpam-4538	52	14	scaling	scale	VERB
ejpam-4538	52	15	dfp	dfp	NOUN
ejpam-4538	52	16	method	method	NOUN
ejpam-4538	52	17	is	be	AUX
ejpam-4538	52	18	transformed	transform	VERB
ejpam-4538	52	19	into	into	ADP
ejpam-4538	52	20	the	the	DET
ejpam-4538	52	21	memoryless	memoryless	NOUN
ejpam-4538	52	22	self	self	NOUN
ejpam-4538	52	23	-	-	PUNCT
ejpam-4538	52	24	scaling	scale	VERB
ejpam-4538	52	25	dfp	dfp	NOUN
ejpam-4538	52	26	method	method	NOUN
ejpam-4538	52	27	when	when	SCONJ
ejpam-4538	52	28	hk	hk	PROPN
ejpam-4538	52	29	is	be	AUX
ejpam-4538	52	30	substituted	substitute	VERB
ejpam-4538	52	31	for	for	ADP
ejpam-4538	52	32	i	i	PRON
ejpam-4538	52	33	(	(	PUNCT
ejpam-4538	52	34	i.e.	i.e.	X
ejpam-4538	52	35	hk	hk	PROPN
ejpam-4538	52	36	≡	≡	PROPN
ejpam-4538	52	37	i	i	PRON
ejpam-4538	52	38	,	,	PUNCT
ejpam-4538	52	39	where	where	SCONJ
ejpam-4538	52	40	i	i	PRON
ejpam-4538	52	41	is	be	AUX
ejpam-4538	52	42	the	the	DET
ejpam-4538	52	43	identity	identity	NOUN
ejpam-4538	52	44	matrix	matrix	NOUN
ejpam-4538	52	45	)	)	PUNCT
ejpam-4538	52	46	.	.	PUNCT
ejpam-4538	53	1	as	as	ADP
ejpam-4538	53	2	a	a	DET
ejpam-4538	53	3	result	result	NOUN
ejpam-4538	53	4	,	,	PUNCT
ejpam-4538	53	5	the	the	DET
ejpam-4538	53	6	memoryless	memoryless	PROPN
ejpam-4538	53	7	dfp	dfp	PROPN
ejpam-4538	53	8	formed	form	VERB
ejpam-4538	53	9	by	by	ADP
ejpam-4538	53	10	:	:	PUNCT
ejpam-4538	53	11	hk	hk	PROPN
ejpam-4538	53	12	=	=	PUNCT
ejpam-4538	53	13	vtk−1yk−1	vtk−1yk−1	AUX
ejpam-4538	53	14	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	54	1	[	[	PUNCT
ejpam-4538	54	2	i	i	PRON
ejpam-4538	54	3	+	+	CCONJ
ejpam-4538	55	1	vk−1v	vk−1v	NUM
ejpam-4538	55	2	t	t	NOUN
ejpam-4538	55	3	k−1	k−1	PROPN
ejpam-4538	55	4	ytk−1vk−1	ytk−1vk−1	VERB
ejpam-4538	56	1	−	−	PROPN
ejpam-4538	56	2	yk−1y	yk−1y	PROPN
ejpam-4538	56	3	t	t	PROPN
ejpam-4538	56	4	k−1	k−1	PROPN
ejpam-4538	56	5	ytk−1yk−1	ytk−1yk−1	PROPN
ejpam-4538	56	6	]	]	PUNCT
ejpam-4538	56	7	(	(	PUNCT
ejpam-4538	56	8	15	15	NUM
ejpam-4538	56	9	)	)	PUNCT
ejpam-4538	56	10	to	to	PART
ejpam-4538	56	11	derive	derive	VERB
ejpam-4538	56	12	the	the	DET
ejpam-4538	56	13	new	new	ADJ
ejpam-4538	56	14	formula	formula	NOUN
ejpam-4538	56	15	multiply	multiply	ADP
ejpam-4538	56	16	both	both	DET
ejpam-4538	56	17	sides	side	NOUN
ejpam-4538	56	18	of	of	ADP
ejpam-4538	56	19	equation	equation	NOUN
ejpam-4538	56	20	(	(	PUNCT
ejpam-4538	56	21	15	15	NUM
ejpam-4538	56	22	)	)	PUNCT
ejpam-4538	56	23	by	by	ADP
ejpam-4538	56	24	(	(	PUNCT
ejpam-4538	56	25	−gk	−gk	NOUN
ejpam-4538	56	26	)	)	PUNCT
ejpam-4538	56	27	,	,	PUNCT
ejpam-4538	56	28	we	we	PRON
ejpam-4538	56	29	have	have	VERB
ejpam-4538	56	30	(	(	PUNCT
ejpam-4538	56	31	6	6	NUM
ejpam-4538	56	32	)	)	PUNCT
ejpam-4538	56	33	and	and	CCONJ
ejpam-4538	56	34	in	in	ADP
ejpam-4538	56	35	the	the	DET
ejpam-4538	56	36	cg	cg	NOUN
ejpam-4538	56	37	(	(	PUNCT
ejpam-4538	56	38	7	7	NUM
ejpam-4538	56	39	)	)	PUNCT
ejpam-4538	56	40	,	,	PUNCT
ejpam-4538	56	41	hence	hence	ADV
ejpam-4538	56	42	−gk	−gk	NOUN
ejpam-4538	56	43	+	+	CCONJ
ejpam-4538	56	44	βkdk−1	βkdk−1	PUNCT
ejpam-4538	56	45	=	=	SYM
ejpam-4538	56	46	vtk−1yk−1	vtk−1yk−1	NOUN
ejpam-4538	56	47	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	56	48	[	[	PUNCT
ejpam-4538	56	49	−gk	−gk	NOUN
ejpam-4538	56	50	+	+	CCONJ
ejpam-4538	56	51	vtk−1gk	vtk−1gk	PROPN
ejpam-4538	56	52	ytk−1vk−1	ytk−1vk−1	PROPN
ejpam-4538	56	53	vk−1	vk−1	NOUN
ejpam-4538	56	54	−	−	VERB
ejpam-4538	56	55	ytk−1gk	ytk−1gk	PROPN
ejpam-4538	56	56	ytk−1yk−1	ytk−1yk−1	NOUN
ejpam-4538	56	57	yk−1	yk−1	PROPN
ejpam-4538	56	58	]	]	PUNCT
ejpam-4538	56	59	(	(	PUNCT
ejpam-4538	56	60	16	16	NUM
ejpam-4538	56	61	)	)	PUNCT
ejpam-4538	56	62	when	when	SCONJ
ejpam-4538	56	63	we	we	PRON
ejpam-4538	56	64	multiply	multiply	VERB
ejpam-4538	56	65	both	both	DET
ejpam-4538	56	66	sides	side	NOUN
ejpam-4538	56	67	of	of	ADP
ejpam-4538	56	68	(	(	PUNCT
ejpam-4538	56	69	16	16	NUM
ejpam-4538	56	70	)	)	PUNCT
ejpam-4538	56	71	by	by	ADP
ejpam-4538	56	72	yk−1	yk−1	PROPN
ejpam-4538	56	73	,	,	PUNCT
ejpam-4538	56	74	we	we	PRON
ejpam-4538	56	75	get	get	VERB
ejpam-4538	56	76	−gtk	−gtk	NOUN
ejpam-4538	56	77	yk−1+βkd	yk−1+βkd	PROPN
ejpam-4538	57	1	t	t	PROPN
ejpam-4538	57	2	k−1yk−1	k−1yk−1	PROPN
ejpam-4538	57	3	=	=	X
ejpam-4538	57	4	vtk−1yk−1	vtk−1yk−1	VERB
ejpam-4538	57	5	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	57	6	[	[	PUNCT
ejpam-4538	57	7	−gtk	−gtk	VERB
ejpam-4538	57	8	yk−1	yk−1	NOUN
ejpam-4538	57	9	+	+	CCONJ
ejpam-4538	57	10	vtk−1gk	vtk−1gk	PROPN
ejpam-4538	57	11	ytk−1vk−1	ytk−1vk−1	PROPN
ejpam-4538	57	12	vtk−1yk−1	vtk−1yk−1	NOUN
ejpam-4538	57	13	−	−	ADP
ejpam-4538	57	14	ytk−1gk	ytk−1gk	ADJ
ejpam-4538	57	15	ytk−1yk−1	ytk−1yk−1	NOUN
ejpam-4538	57	16	ytk−1yk−1	ytk−1yk−1	PROPN
ejpam-4538	57	17	]	]	PUNCT
ejpam-4538	57	18	g.	g.	PROPN
ejpam-4538	57	19	m.	m.	PROPN
ejpam-4538	57	20	al	al	PROPN
ejpam-4538	57	21	-	-	PUNCT
ejpam-4538	57	22	naemi	naemi	PROPN
ejpam-4538	57	23	/	/	SYM
ejpam-4538	57	24	eur	eur	PROPN
ejpam-4538	57	25	.	.	PUNCT
ejpam-4538	58	1	j.	j.	PROPN
ejpam-4538	58	2	pure	pure	PROPN
ejpam-4538	58	3	appl	appl	PROPN
ejpam-4538	58	4	.	.	PROPN
ejpam-4538	58	5	math	math	PROPN
ejpam-4538	58	6	,	,	PUNCT
ejpam-4538	58	7	15	15	NUM
ejpam-4538	58	8	(	(	PUNCT
ejpam-4538	58	9	4	4	NUM
ejpam-4538	58	10	)	)	PUNCT
ejpam-4538	58	11	(	(	PUNCT
ejpam-4538	58	12	2022	2022	NUM
ejpam-4538	58	13	)	)	PUNCT
ejpam-4538	58	14	,	,	PUNCT
ejpam-4538	58	15	1683	1683	NUM
ejpam-4538	58	16	-	-	SYM
ejpam-4538	58	17	1693	1693	NUM
ejpam-4538	58	18	1686	1686	NUM
ejpam-4538	58	19	βkd	βkd	VERB
ejpam-4538	59	1	t	t	NOUN
ejpam-4538	59	2	k−1yk−1	k−1yk−1	NOUN
ejpam-4538	59	3	=	=	PUNCT
ejpam-4538	59	4	gtk	gtk	NOUN
ejpam-4538	59	5	yk−1	yk−1	PROPN
ejpam-4538	59	6	−	−	PROPN
ejpam-4538	59	7	vtk−1yk−1	vtk−1yk−1	NOUN
ejpam-4538	59	8	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	59	9	vtk−1gk	vtk−1gk	PROPN
ejpam-4538	59	10	(	(	PUNCT
ejpam-4538	59	11	17	17	NUM
ejpam-4538	59	12	)	)	PUNCT
ejpam-4538	59	13	use	use	NOUN
ejpam-4538	59	14	vk−1	vk−1	NOUN
ejpam-4538	59	15	=	=	SYM
ejpam-4538	59	16	γk−1dk−1	γk−1dk−1	PROPN
ejpam-4538	59	17	in	in	ADV
ejpam-4538	59	18	(	(	PUNCT
ejpam-4538	59	19	17	17	NUM
ejpam-4538	59	20	)	)	PUNCT
ejpam-4538	59	21	,	,	PUNCT
ejpam-4538	59	22	we	we	PRON
ejpam-4538	59	23	have	have	AUX
ejpam-4538	59	24	βk	βk	VERB
ejpam-4538	59	25	=	=	NOUN
ejpam-4538	59	26	gtk	gtk	NOUN
ejpam-4538	59	27	yk−1	yk−1	PROPN
ejpam-4538	59	28	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	60	1	−	−	PROPN
ejpam-4538	61	1	(	(	PUNCT
ejpam-4538	61	2	γk−1d	γk−1d	PROPN
ejpam-4538	61	3	t	t	PROPN
ejpam-4538	61	4	k−1yk−1	k−1yk−1	PROPN
ejpam-4538	61	5	γ2k−1||dk−1||2	γ2k−1||dk−1||2	PROPN
ejpam-4538	61	6	)	)	PUNCT
ejpam-4538	61	7	(	(	PUNCT
ejpam-4538	61	8	γk−1d	γk−1d	PROPN
ejpam-4538	61	9	t	t	PROPN
ejpam-4538	61	10	k−1gk	k−1gk	NOUN
ejpam-4538	61	11	dtk−1yk−1	dtk−1yk−1	PROPN
ejpam-4538	61	12	)	)	PUNCT
ejpam-4538	61	13	βgh	βgh	X
ejpam-4538	62	1	k	k	X
ejpam-4538	62	2	=	=	SYM
ejpam-4538	62	3	gtk	gtk	VERB
ejpam-4538	62	4	yk−1	yk−1	PROPN
ejpam-4538	62	5	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	62	6	−	−	PRON
ejpam-4538	62	7	gtk	gtk	NOUN
ejpam-4538	62	8	dk−1	dk−1	PROPN
ejpam-4538	62	9	||vk−1||2	||vk−1||2	PROPN
ejpam-4538	62	10	(	(	PUNCT
ejpam-4538	62	11	18	18	NUM
ejpam-4538	62	12	)	)	PUNCT
ejpam-4538	62	13	it	it	PRON
ejpam-4538	62	14	should	should	AUX
ejpam-4538	62	15	be	be	AUX
ejpam-4538	62	16	noted	note	VERB
ejpam-4538	62	17	that	that	SCONJ
ejpam-4538	62	18	if	if	SCONJ
ejpam-4538	62	19	we	we	PRON
ejpam-4538	62	20	used	use	VERB
ejpam-4538	62	21	exact	exact	ADJ
ejpam-4538	62	22	line	line	NOUN
ejpam-4538	62	23	search	search	NOUN
ejpam-4538	62	24	βgh	βgh	PUNCT
ejpam-4538	63	1	k	k	X
ejpam-4538	63	2	=	=	PUNCT
ejpam-4538	63	3	βhs	βhs	PROPN
ejpam-4538	63	4	k	k	PROPN
ejpam-4538	63	5	.	.	PUNCT
ejpam-4538	64	1	now	now	ADV
ejpam-4538	64	2	,	,	PUNCT
ejpam-4538	64	3	we	we	PRON
ejpam-4538	64	4	will	will	AUX
ejpam-4538	64	5	go	go	VERB
ejpam-4538	64	6	over	over	ADP
ejpam-4538	64	7	the	the	DET
ejpam-4538	64	8	main	main	ADJ
ejpam-4538	64	9	steps	step	NOUN
ejpam-4538	64	10	of	of	ADP
ejpam-4538	64	11	the	the	DET
ejpam-4538	64	12	algorithm	algorithm	NOUN
ejpam-4538	64	13	that	that	PRON
ejpam-4538	64	14	was	be	AUX
ejpam-4538	64	15	used	use	VERB
ejpam-4538	64	16	to	to	PART
ejpam-4538	64	17	create	create	VERB
ejpam-4538	64	18	the	the	DET
ejpam-4538	64	19	new	new	ADJ
ejpam-4538	64	20	formula	formula	NOUN
ejpam-4538	64	21	of	of	ADP
ejpam-4538	64	22	βgh	βgh	X
ejpam-4538	65	1	k	k	PROPN
ejpam-4538	65	2	2.1	2.1	NUM
ejpam-4538	65	3	.	.	PUNCT
ejpam-4538	65	4	algorithm	algorithm	PROPN
ejpam-4538	65	5	a	a	PRON
ejpam-4538	65	6	given	give	VERB
ejpam-4538	65	7	x0	x0	PROPN
ejpam-4538	65	8	∈	∈	PROPN
ejpam-4538	65	9	rn	rn	PROPN
ejpam-4538	65	10	,	,	PUNCT
ejpam-4538	65	11	and	and	CCONJ
ejpam-4538	65	12	ε	ε	PROPN
ejpam-4538	65	13	>	>	X
ejpam-4538	65	14	0	0	PROPN
ejpam-4538	65	15	,	,	PUNCT
ejpam-4538	65	16	set	set	VERB
ejpam-4538	65	17	k	k	PROPN
ejpam-4538	66	1	=	=	PUNCT
ejpam-4538	66	2	0	0	PROPN
ejpam-4538	66	3	.	.	PUNCT
ejpam-4538	67	1	s1	s1	NOUN
ejpam-4538	67	2	:	:	PUNCT
ejpam-4538	67	3	put	put	VERB
ejpam-4538	67	4	dk	dk	NOUN
ejpam-4538	67	5	=	=	PUNCT
ejpam-4538	67	6	−gk	−gk	NOUN
ejpam-4538	67	7	,	,	PUNCT
ejpam-4538	67	8	if	if	SCONJ
ejpam-4538	67	9	||gk||	||gk||	VERB
ejpam-4538	67	10	<	<	X
ejpam-4538	67	11	ε	ε	PROPN
ejpam-4538	67	12	,	,	PUNCT
ejpam-4538	67	13	stop	stop	VERB
ejpam-4538	67	14	,	,	PUNCT
ejpam-4538	67	15	otherwise	otherwise	ADV
ejpam-4538	67	16	continue	continue	VERB
ejpam-4538	67	17	.	.	PUNCT
ejpam-4538	68	1	s2	s2	NOUN
ejpam-4538	68	2	:	:	PUNCT
ejpam-4538	68	3	calculate	calculate	NOUN
ejpam-4538	68	4	γk	γk	NOUN
ejpam-4538	68	5	by	by	ADP
ejpam-4538	68	6	using	use	VERB
ejpam-4538	68	7	(	(	PUNCT
ejpam-4538	68	8	8)	8)	NUM
ejpam-4538	68	9	and	and	CCONJ
ejpam-4538	68	10	(	(	PUNCT
ejpam-4538	68	11	9	9	NUM
ejpam-4538	68	12	)	)	PUNCT
ejpam-4538	68	13	.	.	PUNCT
ejpam-4538	69	1	s3	s3	NOUN
ejpam-4538	69	2	:	:	PUNCT
ejpam-4538	69	3	calculate	calculate	NOUN
ejpam-4538	69	4	xk+1	xk+1	PUNCT
ejpam-4538	69	5	by	by	ADP
ejpam-4538	69	6	(	(	PUNCT
ejpam-4538	69	7	4	4	NUM
ejpam-4538	69	8	)	)	PUNCT
ejpam-4538	69	9	,	,	PUNCT
ejpam-4538	69	10	and	and	CCONJ
ejpam-4538	69	11	gk+1	gk+1	NOUN
ejpam-4538	69	12	,	,	PUNCT
ejpam-4538	69	13	if	if	SCONJ
ejpam-4538	69	14	||gk+1||	||gk+1||	PROPN
ejpam-4538	69	15	<	<	X
ejpam-4538	69	16	ε	ε	PROPN
ejpam-4538	69	17	,	,	PUNCT
ejpam-4538	69	18	then	then	ADV
ejpam-4538	69	19	stop	stop	VERB
ejpam-4538	69	20	;	;	PUNCT
ejpam-4538	69	21	otherwise	otherwise	ADV
ejpam-4538	69	22	continue	continue	VERB
ejpam-4538	69	23	.	.	PUNCT
ejpam-4538	70	1	s4	s4	PROPN
ejpam-4538	70	2	:	:	PUNCT
ejpam-4538	70	3	calculate	calculate	NOUN
ejpam-4538	70	4	βgh	βgh	X
ejpam-4538	70	5	k	k	X
ejpam-4538	70	6	by	by	ADP
ejpam-4538	70	7	(	(	PUNCT
ejpam-4538	70	8	19	19	NUM
ejpam-4538	70	9	)	)	PUNCT
ejpam-4538	70	10	and	and	CCONJ
ejpam-4538	70	11	dk+1	dk+1	VERB
ejpam-4538	70	12	by	by	ADP
ejpam-4538	70	13	(	(	PUNCT
ejpam-4538	70	14	7	7	NUM
ejpam-4538	70	15	)	)	PUNCT
ejpam-4538	70	16	.	.	PUNCT
ejpam-4538	71	1	s5	s5	NOUN
ejpam-4538	71	2	:	:	PUNCT
ejpam-4538	71	3	if	if	SCONJ
ejpam-4538	71	4	the	the	DET
ejpam-4538	71	5	restarting	restarting	NOUN
ejpam-4538	71	6	criteria	criterion	NOUN
ejpam-4538	71	7	|gtk	|gtk	NOUN
ejpam-4538	71	8	gk−1|	gk−1|	X
ejpam-4538	71	9	≥	≥	NOUN
ejpam-4538	71	10	0.2||gk||2	0.2||gk||2	NUM
ejpam-4538	71	11	is	be	AUX
ejpam-4538	71	12	satisfy	satisfy	ADJ
ejpam-4538	71	13	,	,	PUNCT
ejpam-4538	71	14	proceed	proceed	VERB
ejpam-4538	71	15	to	to	ADP
ejpam-4538	71	16	s1	s1	NOUN
ejpam-4538	71	17	,	,	PUNCT
ejpam-4538	71	18	else	else	ADV
ejpam-4538	71	19	put	put	VERB
ejpam-4538	71	20	k	k	PROPN
ejpam-4538	72	1	=	=	PUNCT
ejpam-4538	72	2	k	k	PROPN
ejpam-4538	73	1	+	+	CCONJ
ejpam-4538	73	2	1	1	NUM
ejpam-4538	73	3	go	go	VERB
ejpam-4538	73	4	to	to	ADP
ejpam-4538	73	5	s2	s2	VERB
ejpam-4538	73	6	.	.	PUNCT
ejpam-4538	74	1	2.2	2.2	NUM
ejpam-4538	74	2	.	.	PUNCT
ejpam-4538	74	3	convergence	convergence	NOUN
ejpam-4538	74	4	property	property	NOUN
ejpam-4538	74	5	the	the	DET
ejpam-4538	74	6	following	follow	VERB
ejpam-4538	74	7	basic	basic	ADJ
ejpam-4538	74	8	assumptions	assumption	NOUN
ejpam-4538	74	9	on	on	ADP
ejpam-4538	74	10	the	the	DET
ejpam-4538	74	11	objective	objective	ADJ
ejpam-4538	74	12	function	function	NOUN
ejpam-4538	74	13	are	be	AUX
ejpam-4538	74	14	required	require	VERB
ejpam-4538	74	15	to	to	PART
ejpam-4538	74	16	determine	determine	VERB
ejpam-4538	74	17	the	the	DET
ejpam-4538	74	18	global	global	ADJ
ejpam-4538	74	19	convergence	convergence	NOUN
ejpam-4538	74	20	property	property	NOUN
ejpam-4538	74	21	for	for	ADP
ejpam-4538	74	22	algorithm	algorithm	NOUN
ejpam-4538	74	23	(	(	PUNCT
ejpam-4538	74	24	a	a	NOUN
ejpam-4538	74	25	)	)	PUNCT
ejpam-4538	74	26	.	.	PUNCT
ejpam-4538	75	1	2.3	2.3	NUM
ejpam-4538	75	2	.	.	PUNCT
ejpam-4538	76	1	assumption	assumption	PROPN
ejpam-4538	76	2	b	b	PROPN
ejpam-4538	76	3	i.	i.	PROPN
ejpam-4538	76	4	f(x	f(x	PROPN
ejpam-4538	76	5	)	)	PUNCT
ejpam-4538	76	6	is	be	AUX
ejpam-4538	76	7	constrained	constrain	VERB
ejpam-4538	76	8	by	by	ADP
ejpam-4538	76	9	the	the	DET
ejpam-4538	76	10	level	level	NOUN
ejpam-4538	76	11	set	set	VERB
ejpam-4538	76	12	from	from	ADP
ejpam-4538	76	13	below	below	ADP
ejpam-4538	76	14	ψ	ψ	NOUN
ejpam-4538	76	15	=	=	X
ejpam-4538	76	16	{	{	PUNCT
ejpam-4538	76	17	x	x	PROPN
ejpam-4538	76	18	∈	∈	PROPN
ejpam-4538	76	19	rn	rn	PROPN
ejpam-4538	76	20	,	,	PUNCT
ejpam-4538	76	21	f(x	f(x	PROPN
ejpam-4538	76	22	)	)	PUNCT
ejpam-4538	76	23	≤	≤	NUM
ejpam-4538	76	24	f(x0	f(x0	NOUN
ejpam-4538	76	25	)	)	PUNCT
ejpam-4538	76	26	}	}	PUNCT
ejpam-4538	76	27	,	,	PUNCT
ejpam-4538	76	28	where	where	SCONJ
ejpam-4538	76	29	x0	x0	PROPN
ejpam-4538	76	30	represents	represent	VERB
ejpam-4538	76	31	the	the	DET
ejpam-4538	76	32	starting	starting	NOUN
ejpam-4538	76	33	point	point	NOUN
ejpam-4538	76	34	.	.	PUNCT
ejpam-4538	77	1	namely	namely	ADV
ejpam-4538	77	2	,	,	PUNCT
ejpam-4538	77	3	there	there	PRON
ejpam-4538	77	4	exists	exist	VERB
ejpam-4538	77	5	τ	τ	PROPN
ejpam-4538	77	6	>	>	X
ejpam-4538	77	7	0	0	NUM
ejpam-4538	77	8	which	which	PRON
ejpam-4538	77	9	implies	imply	VERB
ejpam-4538	77	10	||xk||	||xk||	ADJ
ejpam-4538	77	11	≤	≤	PROPN
ejpam-4538	77	12	τ	τ	X
ejpam-4538	77	13	∀x	∀x	NUM
ejpam-4538	77	14	∈	∈	PROPN
ejpam-4538	77	15	ψ	ψ	X
ejpam-4538	77	16	[	[	X
ejpam-4538	77	17	3	3	NUM
ejpam-4538	77	18	]	]	PUNCT
ejpam-4538	77	19	.	.	PUNCT
ejpam-4538	78	1	ii	ii	PROPN
ejpam-4538	78	2	.	.	PUNCT
ejpam-4538	79	1	f(x	f(x	PROPN
ejpam-4538	79	2	)	)	PUNCT
ejpam-4538	80	1	it	it	PRON
ejpam-4538	80	2	is	be	AUX
ejpam-4538	80	3	a	a	DET
ejpam-4538	80	4	smooth	smooth	NOUN
ejpam-4538	80	5	in	in	ADP
ejpam-4538	80	6	a	a	DET
ejpam-4538	80	7	specific	specific	ADJ
ejpam-4538	80	8	neighborhood	neighborhood	NOUN
ejpam-4538	80	9	n	n	NOUN
ejpam-4538	80	10	of	of	ADP
ejpam-4538	80	11	ψ	ψ	NOUN
ejpam-4538	80	12	,	,	PUNCT
ejpam-4538	80	13	and	and	CCONJ
ejpam-4538	80	14	its	its	PRON
ejpam-4538	80	15	gradient	gradient	NOUN
ejpam-4538	80	16	is	be	AUX
ejpam-4538	80	17	lipschitz	lipschitz	NOUN
ejpam-4538	80	18	continuous	continuous	ADJ
ejpam-4538	80	19	,	,	PUNCT
ejpam-4538	80	20	i.e	i.e	NOUN
ejpam-4538	80	21	,	,	PUNCT
ejpam-4538	80	22	there	there	PRON
ejpam-4538	80	23	is	be	VERB
ejpam-4538	80	24	a	a	DET
ejpam-4538	80	25	constant	constant	ADJ
ejpam-4538	80	26	l	l	NOUN
ejpam-4538	80	27	greater	great	ADJ
ejpam-4538	80	28	than	than	ADP
ejpam-4538	80	29	zero	zero	NUM
ejpam-4538	80	30	,	,	PUNCT
ejpam-4538	80	31	such	such	ADJ
ejpam-4538	80	32	that	that	SCONJ
ejpam-4538	80	33	||∇f	||∇f	PROPN
ejpam-4538	80	34	(	(	PUNCT
ejpam-4538	80	35	x)−∇f	x)−∇f	X
ejpam-4538	80	36	(	(	PUNCT
ejpam-4538	80	37	y	y	NOUN
ejpam-4538	80	38	)	)	PUNCT
ejpam-4538	80	39	||	||	NOUN
ejpam-4538	81	1	≤	≤	PROPN
ejpam-4538	81	2	l||x−	l||x−	PROPN
ejpam-4538	81	3	y||	y||	PROPN
ejpam-4538	81	4	,	,	PUNCT
ejpam-4538	81	5	∀x	∀x	NUM
ejpam-4538	81	6	,	,	PUNCT
ejpam-4538	81	7	y	y	PROPN
ejpam-4538	81	8	∈	∈	PROPN
ejpam-4538	81	9	n	n	CCONJ
ejpam-4538	81	10	(	(	PUNCT
ejpam-4538	81	11	19	19	NUM
ejpam-4538	81	12	)	)	PUNCT
ejpam-4538	81	13	g.	g.	PROPN
ejpam-4538	81	14	m.	m.	PROPN
ejpam-4538	81	15	al	al	PROPN
ejpam-4538	81	16	-	-	PUNCT
ejpam-4538	81	17	naemi	naemi	PROPN
ejpam-4538	81	18	/	/	SYM
ejpam-4538	81	19	eur	eur	PROPN
ejpam-4538	81	20	.	.	PUNCT
ejpam-4538	82	1	j.	j.	PROPN
ejpam-4538	82	2	pure	pure	PROPN
ejpam-4538	82	3	appl	appl	PROPN
ejpam-4538	82	4	.	.	PROPN
ejpam-4538	82	5	math	math	PROPN
ejpam-4538	82	6	,	,	PUNCT
ejpam-4538	82	7	15	15	NUM
ejpam-4538	82	8	(	(	PUNCT
ejpam-4538	82	9	4	4	NUM
ejpam-4538	82	10	)	)	PUNCT
ejpam-4538	82	11	(	(	PUNCT
ejpam-4538	82	12	2022	2022	NUM
ejpam-4538	82	13	)	)	PUNCT
ejpam-4538	82	14	,	,	PUNCT
ejpam-4538	82	15	1683	1683	NUM
ejpam-4538	82	16	-	-	SYM
ejpam-4538	82	17	1693	1693	NUM
ejpam-4538	82	18	1687	1687	NUM
ejpam-4538	82	19	using	use	VERB
ejpam-4538	82	20	algorithm	algorithm	NOUN
ejpam-4538	82	21	(	(	PUNCT
ejpam-4538	82	22	a	a	X
ejpam-4538	82	23	)	)	PUNCT
ejpam-4538	82	24	,	,	PUNCT
ejpam-4538	82	25	there	there	PRON
ejpam-4538	82	26	is	be	VERB
ejpam-4538	82	27	now	now	ADV
ejpam-4538	82	28	a	a	DET
ejpam-4538	82	29	positive	positive	ADJ
ejpam-4538	82	30	constant	constant	ADJ
ejpam-4538	82	31	(	(	PUNCT
ejpam-4538	82	32	ω	ω	NOUN
ejpam-4538	82	33	)	)	PUNCT
ejpam-4538	82	34	,	,	PUNCT
ejpam-4538	82	35	resulting	result	VERB
ejpam-4538	82	36	in	in	ADP
ejpam-4538	82	37	0	0	NUM
ejpam-4538	82	38	<	<	X
ejpam-4538	82	39	||gk||	||gk||	X
ejpam-4538	82	40	≤	≤	NUM
ejpam-4538	82	41	ω	ω	NUM
ejpam-4538	82	42	,	,	PUNCT
ejpam-4538	82	43	∀x	∀x	X
ejpam-4538	82	44	∈	∈	PROPN
ejpam-4538	82	45	ψ	ψ	X
ejpam-4538	82	46	[	[	X
ejpam-4538	82	47	14	14	NUM
ejpam-4538	82	48	]	]	PUNCT
ejpam-4538	82	49	to	to	PART
ejpam-4538	82	50	attain	attain	VERB
ejpam-4538	82	51	global	global	ADJ
ejpam-4538	82	52	convergence	convergence	NOUN
ejpam-4538	82	53	,	,	PUNCT
ejpam-4538	82	54	algorithms	algorithm	NOUN
ejpam-4538	82	55	(	(	PUNCT
ejpam-4538	82	56	a	a	X
ejpam-4538	82	57	)	)	PUNCT
ejpam-4538	82	58	must	must	AUX
ejpam-4538	82	59	be	be	AUX
ejpam-4538	82	60	globally	globally	ADV
ejpam-4538	82	61	converged	converge	VERB
ejpam-4538	82	62	.	.	PUNCT
ejpam-4538	83	1	to	to	PART
ejpam-4538	83	2	begin	begin	VERB
ejpam-4538	83	3	,	,	PUNCT
ejpam-4538	83	4	we	we	PRON
ejpam-4538	83	5	will	will	AUX
ejpam-4538	83	6	look	look	VERB
ejpam-4538	83	7	into	into	ADP
ejpam-4538	83	8	the	the	DET
ejpam-4538	83	9	new	new	ADJ
ejpam-4538	83	10	proposed	propose	VERB
ejpam-4538	83	11	method	method	NOUN
ejpam-4538	83	12	’s	’s	PART
ejpam-4538	83	13	descent	descent	NOUN
ejpam-4538	83	14	property	property	NOUN
ejpam-4538	83	15	.	.	PUNCT
ejpam-4538	84	1	theorem	theorem	NOUN
ejpam-4538	84	2	1	1	NUM
ejpam-4538	84	3	.	.	PUNCT
ejpam-4538	84	4	impose	impose	VERB
ejpam-4538	84	5	that	that	SCONJ
ejpam-4538	84	6	assumptions	assumption	NOUN
ejpam-4538	84	7	(	(	PUNCT
ejpam-4538	84	8	b	b	NOUN
ejpam-4538	84	9	)	)	PUNCT
ejpam-4538	84	10	hold	hold	NOUN
ejpam-4538	84	11	.	.	PUNCT
ejpam-4538	85	1	suppose	suppose	VERB
ejpam-4538	85	2	the	the	DET
ejpam-4538	85	3	method	method	NOUN
ejpam-4538	85	4	of	of	ADP
ejpam-4538	85	5	the	the	DET
ejpam-4538	85	6	form	form	NOUN
ejpam-4538	85	7	(	(	PUNCT
ejpam-4538	85	8	4	4	NUM
ejpam-4538	85	9	)	)	PUNCT
ejpam-4538	85	10	and	and	CCONJ
ejpam-4538	85	11	(	(	PUNCT
ejpam-4538	85	12	7	7	X
ejpam-4538	85	13	)	)	PUNCT
ejpam-4538	85	14	with	with	ADP
ejpam-4538	85	15	βgh	βgh	X
ejpam-4538	85	16	k	k	PROPN
ejpam-4538	85	17	satisfy	satisfy	NOUN
ejpam-4538	85	18	(	(	PUNCT
ejpam-4538	85	19	18	18	NUM
ejpam-4538	85	20	)	)	PUNCT
ejpam-4538	85	21	,	,	PUNCT
ejpam-4538	85	22	and	and	CCONJ
ejpam-4538	85	23	the	the	DET
ejpam-4538	85	24	step	step	NOUN
ejpam-4538	85	25	size	size	NOUN
ejpam-4538	85	26	γk	γk	PROPN
ejpam-4538	85	27	satisfy	satisfy	PROPN
ejpam-4538	85	28	swp	swp	PROPN
ejpam-4538	85	29	line	line	NOUN
ejpam-4538	85	30	search	search	NOUN
ejpam-4538	85	31	(	(	PUNCT
ejpam-4538	85	32	8)	8)	NUM
ejpam-4538	85	33	and	and	CCONJ
ejpam-4538	85	34	(	(	PUNCT
ejpam-4538	85	35	9	9	NUM
ejpam-4538	85	36	)	)	PUNCT
ejpam-4538	85	37	,	,	PUNCT
ejpam-4538	85	38	then	then	ADV
ejpam-4538	85	39	there	there	PRON
ejpam-4538	85	40	exists	exist	VERB
ejpam-4538	85	41	a	a	DET
ejpam-4538	85	42	constant	constant	ADJ
ejpam-4538	85	43	ϑ	ϑ	X
ejpam-4538	85	44	>	>	X
ejpam-4538	85	45	0	0	PROPN
ejpam-4538	85	46	,	,	PUNCT
ejpam-4538	85	47	s.t	s.t	PROPN
ejpam-4538	85	48	.	.	PROPN
ejpam-4538	85	49	gtk	gtk	NOUN
ejpam-4538	85	50	dk	dk	PROPN
ejpam-4538	85	51	≤	≤	PROPN
ejpam-4538	85	52	−ϑ||gk||2	−ϑ||gk||2	PROPN
ejpam-4538	85	53	,	,	PUNCT
ejpam-4538	85	54	ϑ	ϑ	X
ejpam-4538	85	55	>	>	X
ejpam-4538	85	56	0	0	NUM
ejpam-4538	85	57	,	,	PUNCT
ejpam-4538	85	58	∀k	∀k	NOUN
ejpam-4538	85	59	≥	≥	NUM
ejpam-4538	85	60	0	0	NUM
ejpam-4538	85	61	(	(	PUNCT
ejpam-4538	85	62	20	20	NUM
ejpam-4538	85	63	)	)	PUNCT
ejpam-4538	85	64	proof	proof	NOUN
ejpam-4538	85	65	.	.	PUNCT
ejpam-4538	86	1	to	to	PART
ejpam-4538	86	2	begin	begin	VERB
ejpam-4538	86	3	,	,	PUNCT
ejpam-4538	86	4	the	the	DET
ejpam-4538	86	5	proof	proof	NOUN
ejpam-4538	86	6	is	be	AUX
ejpam-4538	86	7	trivial	trivial	ADJ
ejpam-4538	86	8	for	for	ADP
ejpam-4538	86	9	k	k	PROPN
ejpam-4538	86	10	=	=	SYM
ejpam-4538	86	11	0	0	NUM
ejpam-4538	86	12	,	,	PUNCT
ejpam-4538	86	13	i.e.	i.e.	X
ejpam-4538	86	14	d0	d0	NOUN
ejpam-4538	86	15	=	=	SYM
ejpam-4538	87	1	g0	g0	ADJ
ejpam-4538	87	2	⇒	⇒	PROPN
ejpam-4538	87	3	gt0	gt0	NOUN
ejpam-4538	87	4	d0	d0	NOUN
ejpam-4538	87	5	=	=	SYM
ejpam-4538	87	6	−||g0||2	−||g0||2	PROPN
ejpam-4538	87	7	multiplying	multiply	VERB
ejpam-4538	87	8	both	both	DET
ejpam-4538	87	9	sides	side	NOUN
ejpam-4538	87	10	of	of	ADP
ejpam-4538	87	11	(	(	PUNCT
ejpam-4538	87	12	7	7	NUM
ejpam-4538	87	13	)	)	PUNCT
ejpam-4538	87	14	by	by	ADP
ejpam-4538	87	15	gtk	gtk	NOUN
ejpam-4538	87	16	,	,	PUNCT
ejpam-4538	87	17	we	we	PRON
ejpam-4538	87	18	get	get	VERB
ejpam-4538	87	19	gtk	gtk	NOUN
ejpam-4538	87	20	dk	dk	NOUN
ejpam-4538	87	21	=	=	PUNCT
ejpam-4538	87	22	−gtk	−gtk	NOUN
ejpam-4538	87	23	gk	gk	NOUN
ejpam-4538	87	24	+	+	CCONJ
ejpam-4538	87	25	[	[	PUNCT
ejpam-4538	87	26	gtk	gtk	NOUN
ejpam-4538	87	27	yk−1	yk−1	PROPN
ejpam-4538	87	28	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	87	29	−	−	PRON
ejpam-4538	87	30	gtk	gtk	NOUN
ejpam-4538	87	31	dk−1	dk−1	PROPN
ejpam-4538	87	32	||dk−1||2	||dk−1||2	PROPN
ejpam-4538	87	33	]	]	PUNCT
ejpam-4538	87	34	gtk	gtk	NOUN
ejpam-4538	87	35	dk−1	dk−1	NOUN
ejpam-4538	87	36	=	=	SYM
ejpam-4538	87	37	−gtk	−gtk	NOUN
ejpam-4538	87	38	gk	gk	NOUN
ejpam-4538	87	39	+	+	NOUN
ejpam-4538	87	40	gtk	gtk	NOUN
ejpam-4538	87	41	yk−1	yk−1	PROPN
ejpam-4538	87	42	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	87	43	gtk	gtk	NOUN
ejpam-4538	87	44	dk−1	dk−1	NOUN
ejpam-4538	87	45	−	−	PROPN
ejpam-4538	88	1	(	(	PUNCT
ejpam-4538	88	2	gtk	gtk	NOUN
ejpam-4538	88	3	dk−1	dk−1	PROPN
ejpam-4538	88	4	)	)	PUNCT
ejpam-4538	88	5	2	2	NUM
ejpam-4538	89	1	||dk−1||2	||dk−1||2	PROPN
ejpam-4538	90	1	we	we	PRON
ejpam-4538	90	2	know	know	VERB
ejpam-4538	90	3	that	that	SCONJ
ejpam-4538	90	4	gtk	gtk	NOUN
ejpam-4538	90	5	dk−1	dk−1	PROPN
ejpam-4538	90	6	≤	≤	ADJ
ejpam-4538	90	7	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	90	8	,	,	PUNCT
ejpam-4538	90	9	and	and	CCONJ
ejpam-4538	90	10	g	g	PROPN
ejpam-4538	90	11	t	t	PROPN
ejpam-4538	90	12	k	k	PROPN
ejpam-4538	90	13	dk−1	dk−1	PROPN
ejpam-4538	90	14	≤	≤	PROPN
ejpam-4538	90	15	||gk||.||dk−1||	||gk||.||dk−1||	PROPN
ejpam-4538	90	16	gtk	gtk	NOUN
ejpam-4538	90	17	dk	dk	PROPN
ejpam-4538	90	18	≤	≤	PROPN
ejpam-4538	90	19	−||gk||2	−||gk||2	NOUN
ejpam-4538	90	20	+	+	PUNCT
ejpam-4538	90	21	gtk	gtk	VERB
ejpam-4538	90	22	yk−1	yk−1	PROPN
ejpam-4538	90	23	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	90	24	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	90	25	−	−	PROPN
ejpam-4538	90	26	(	(	PUNCT
ejpam-4538	90	27	||gk||.||dk−1||)2	||gk||.||dk−1||)2	NOUN
ejpam-4538	90	28	||dk−1||2	||dk−1||2	ADJ
ejpam-4538	90	29	=	=	SYM
ejpam-4538	90	30	−||gk||2	−||gk||2	NOUN
ejpam-4538	90	31	+	+	NUM
ejpam-4538	90	32	gtk	gtk	NOUN
ejpam-4538	90	33	yk−1	yk−1	PROPN
ejpam-4538	90	34	−	−	PROPN
ejpam-4538	90	35	||gk||2	||gk||2	PROPN
ejpam-4538	90	36	gtk	gtk	NOUN
ejpam-4538	90	37	yk−1	yk−1	NOUN
ejpam-4538	90	38	=	=	SYM
ejpam-4538	90	39	||gk||2	||gk||2	PROPN
ejpam-4538	90	40	−	−	PROPN
ejpam-4538	90	41	gtk	gtk	NOUN
ejpam-4538	90	42	gk−1	gk−1	PROPN
ejpam-4538	90	43	using	use	VERB
ejpam-4538	90	44	the	the	DET
ejpam-4538	90	45	restarting	restart	VERB
ejpam-4538	90	46	criteria	criterion	NOUN
ejpam-4538	90	47	,	,	PUNCT
ejpam-4538	90	48	i.e.	i.e.	X
ejpam-4538	90	49	gtk	gtk	NOUN
ejpam-4538	90	50	gk−1	gk−1	PROPN
ejpam-4538	90	51	≤	≤	NOUN
ejpam-4538	90	52	−0.2||gk||2	−0.2||gk||2	PROPN
ejpam-4538	90	53	,	,	PUNCT
ejpam-4538	90	54	yield	yield	VERB
ejpam-4538	90	55	gtk	gtk	NOUN
ejpam-4538	90	56	dk	dk	PRON
ejpam-4538	90	57	≤	≤	PROPN
ejpam-4538	90	58	−2||gk||2	−2||gk||2	PROPN
ejpam-4538	90	59	+	+	CCONJ
ejpam-4538	91	1	||gk||+	||gk||+	PROPN
ejpam-4538	91	2	0.2||gk||2	0.2||gk||2	NUM
ejpam-4538	91	3	gtk	gtk	NOUN
ejpam-4538	91	4	dk	dk	NOUN
ejpam-4538	91	5	≤	≤	NOUN
ejpam-4538	91	6	−0.8||gk||2	−0.8||gk||2	PUNCT
ejpam-4538	91	7	as	as	ADP
ejpam-4538	91	8	a	a	DET
ejpam-4538	91	9	result	result	NOUN
ejpam-4538	91	10	,	,	PUNCT
ejpam-4538	91	11	(	(	PUNCT
ejpam-4538	91	12	20	20	NUM
ejpam-4538	91	13	)	)	PUNCT
ejpam-4538	91	14	holds	hold	VERB
ejpam-4538	91	15	true	true	ADJ
ejpam-4538	91	16	for	for	ADP
ejpam-4538	91	17	all	all	DET
ejpam-4538	91	18	k.	k.	NOUN
ejpam-4538	91	19	after	after	ADP
ejpam-4538	91	20	demonstrating	demonstrate	VERB
ejpam-4538	91	21	that	that	DET
ejpam-4538	91	22	algorithm	algorithm	NOUN
ejpam-4538	91	23	(	(	PUNCT
ejpam-4538	91	24	a	a	X
ejpam-4538	91	25	)	)	PUNCT
ejpam-4538	91	26	satisfies	satisfy	VERB
ejpam-4538	91	27	the	the	DET
ejpam-4538	91	28	descent	descent	NOUN
ejpam-4538	91	29	property	property	NOUN
ejpam-4538	91	30	,	,	PUNCT
ejpam-4538	91	31	we	we	PRON
ejpam-4538	91	32	must	must	AUX
ejpam-4538	91	33	demonstrate	demonstrate	VERB
ejpam-4538	91	34	algorithm	algorithm	NOUN
ejpam-4538	91	35	(	(	PUNCT
ejpam-4538	91	36	a	a	X
ejpam-4538	91	37	)	)	PUNCT
ejpam-4538	91	38	global	global	ADJ
ejpam-4538	91	39	convergence	convergence	NOUN
ejpam-4538	91	40	under	under	ADP
ejpam-4538	91	41	assumption	assumption	NOUN
ejpam-4538	91	42	(	(	PUNCT
ejpam-4538	91	43	b	b	NOUN
ejpam-4538	91	44	)	)	PUNCT
ejpam-4538	91	45	.	.	PUNCT
ejpam-4538	92	1	we	we	PRON
ejpam-4538	92	2	require	require	VERB
ejpam-4538	92	3	the	the	DET
ejpam-4538	92	4	following	follow	VERB
ejpam-4538	92	5	lemmas	lemmas	PROPN
ejpam-4538	92	6	,	,	PUNCT
ejpam-4538	92	7	which	which	PRON
ejpam-4538	92	8	are	be	AUX
ejpam-4538	92	9	frequently	frequently	ADV
ejpam-4538	92	10	used	use	VERB
ejpam-4538	92	11	to	to	PART
ejpam-4538	92	12	demonstrate	demonstrate	VERB
ejpam-4538	92	13	global	global	ADJ
ejpam-4538	92	14	convergence	convergence	NOUN
ejpam-4538	92	15	and	and	CCONJ
ejpam-4538	92	16	zoutendijk	zoutendijk	NOUN
ejpam-4538	93	1	[	[	X
ejpam-4538	93	2	23	23	NUM
ejpam-4538	93	3	]	]	PUNCT
ejpam-4538	93	4	provides	provide	VERB
ejpam-4538	93	5	them	they	PRON
ejpam-4538	93	6	.	.	PUNCT
ejpam-4538	94	1	lemma	lemma	PROPN
ejpam-4538	94	2	1	1	X
ejpam-4538	94	3	.	.	PUNCT
ejpam-4538	95	1	let	let	VERB
ejpam-4538	95	2	the	the	DET
ejpam-4538	95	3	assumption	assumption	NOUN
ejpam-4538	95	4	(	(	PUNCT
ejpam-4538	95	5	b	b	X
ejpam-4538	95	6	)	)	PUNCT
ejpam-4538	95	7	be	be	AUX
ejpam-4538	95	8	correct	correct	ADJ
ejpam-4538	95	9	.	.	PUNCT
ejpam-4538	96	1	assume	assume	VERB
ejpam-4538	96	2	any	any	DET
ejpam-4538	96	3	iteration	iteration	NOUN
ejpam-4538	96	4	method	method	NOUN
ejpam-4538	96	5	(	(	PUNCT
ejpam-4538	96	6	4	4	NUM
ejpam-4538	96	7	)	)	PUNCT
ejpam-4538	96	8	and	and	CCONJ
ejpam-4538	96	9	(	(	PUNCT
ejpam-4538	96	10	7	7	NUM
ejpam-4538	96	11	)	)	PUNCT
ejpam-4538	96	12	,	,	PUNCT
ejpam-4538	96	13	and	and	CCONJ
ejpam-4538	96	14	γk	γk	PROPN
ejpam-4538	96	15	obtained	obtain	VERB
ejpam-4538	96	16	by	by	ADP
ejpam-4538	96	17	the	the	DET
ejpam-4538	96	18	swp	swp	NOUN
ejpam-4538	96	19	(	(	PUNCT
ejpam-4538	96	20	8)	8)	NUM
ejpam-4538	96	21	and	and	CCONJ
ejpam-4538	96	22	(	(	PUNCT
ejpam-4538	96	23	9	9	NUM
ejpam-4538	96	24	)	)	PUNCT
ejpam-4538	96	25	.	.	PUNCT
ejpam-4538	97	1	if∑	if∑	NOUN
ejpam-4538	97	2	k≥1	k≥1	NOUN
ejpam-4538	97	3	1	1	NUM
ejpam-4538	97	4	||dk||2	||dk||2	NOUN
ejpam-4538	97	5	=	=	SYM
ejpam-4538	97	6	∞	∞	PROPN
ejpam-4538	97	7	(	(	PUNCT
ejpam-4538	97	8	21	21	NUM
ejpam-4538	97	9	)	)	PUNCT
ejpam-4538	97	10	then	then	ADV
ejpam-4538	97	11	lim	lim	PROPN
ejpam-4538	97	12	inf	inf	PROPN
ejpam-4538	97	13	k→∞	k→∞	NOUN
ejpam-4538	97	14	||gk||	||gk||	X
ejpam-4538	97	15	=	=	SYM
ejpam-4538	97	16	0	0	NUM
ejpam-4538	98	1	(	(	PUNCT
ejpam-4538	98	2	22	22	NUM
ejpam-4538	98	3	)	)	PUNCT
ejpam-4538	98	4	g.	g.	PROPN
ejpam-4538	98	5	m.	m.	PROPN
ejpam-4538	98	6	al	al	PROPN
ejpam-4538	98	7	-	-	PUNCT
ejpam-4538	98	8	naemi	naemi	PROPN
ejpam-4538	98	9	/	/	SYM
ejpam-4538	98	10	eur	eur	PROPN
ejpam-4538	98	11	.	.	PUNCT
ejpam-4538	99	1	j.	j.	PROPN
ejpam-4538	99	2	pure	pure	PROPN
ejpam-4538	99	3	appl	appl	PROPN
ejpam-4538	99	4	.	.	PROPN
ejpam-4538	99	5	math	math	PROPN
ejpam-4538	99	6	,	,	PUNCT
ejpam-4538	99	7	15	15	NUM
ejpam-4538	99	8	(	(	PUNCT
ejpam-4538	99	9	4	4	NUM
ejpam-4538	99	10	)	)	PUNCT
ejpam-4538	99	11	(	(	PUNCT
ejpam-4538	99	12	2022	2022	NUM
ejpam-4538	99	13	)	)	PUNCT
ejpam-4538	99	14	,	,	PUNCT
ejpam-4538	99	15	1683	1683	NUM
ejpam-4538	99	16	-	-	SYM
ejpam-4538	99	17	1693	1693	NUM
ejpam-4538	99	18	1688	1688	NUM
ejpam-4538	99	19	theorem	theorem	NOUN
ejpam-4538	99	20	2	2	NUM
ejpam-4538	99	21	.	.	X
ejpam-4538	99	22	consider	consider	VERB
ejpam-4538	99	23	that	that	DET
ejpam-4538	99	24	assumption	assumption	NOUN
ejpam-4538	99	25	(	(	PUNCT
ejpam-4538	99	26	b	b	NOUN
ejpam-4538	99	27	)	)	PUNCT
ejpam-4538	99	28	established	establish	VERB
ejpam-4538	99	29	.	.	PUNCT
ejpam-4538	100	1	suppose	suppose	VERB
ejpam-4538	100	2	that	that	SCONJ
ejpam-4538	100	3	the	the	DET
ejpam-4538	100	4	algorithm	algorithm	NOUN
ejpam-4538	100	5	(	(	PUNCT
ejpam-4538	100	6	a	a	NOUN
ejpam-4538	100	7	)	)	PUNCT
ejpam-4538	100	8	,	,	PUNCT
ejpam-4538	100	9	and	and	CCONJ
ejpam-4538	100	10	γk	γk	PROPN
ejpam-4538	100	11	is	be	AUX
ejpam-4538	100	12	obtained	obtain	VERB
ejpam-4538	100	13	through	through	ADP
ejpam-4538	100	14	the	the	DET
ejpam-4538	100	15	swp	swp	NOUN
ejpam-4538	100	16	and	and	CCONJ
ejpam-4538	100	17	dk	dk	PROPN
ejpam-4538	100	18	is	be	AUX
ejpam-4538	100	19	the	the	DET
ejpam-4538	100	20	descent	descent	NOUN
ejpam-4538	100	21	direction	direction	NOUN
ejpam-4538	100	22	.	.	PUNCT
ejpam-4538	101	1	then	then	ADV
ejpam-4538	101	2	lim	lim	PROPN
ejpam-4538	101	3	inf	inf	PROPN
ejpam-4538	101	4	k→∞	k→∞	NOUN
ejpam-4538	101	5	||gk||	||gk||	X
ejpam-4538	101	6	=	=	SYM
ejpam-4538	101	7	0	0	X
ejpam-4538	101	8	.	.	PUNCT
ejpam-4538	102	1	proof	proof	NOUN
ejpam-4538	102	2	.	.	PUNCT
ejpam-4538	103	1	because	because	SCONJ
ejpam-4538	103	2	the	the	DET
ejpam-4538	103	3	descending	descend	VERB
ejpam-4538	103	4	property	property	NOUN
ejpam-4538	103	5	holds	hold	NOUN
ejpam-4538	103	6	,	,	PUNCT
ejpam-4538	103	7	we	we	PRON
ejpam-4538	103	8	now	now	ADV
ejpam-4538	103	9	have	have	VERB
ejpam-4538	103	10	dk	dk	PRON
ejpam-4538	103	11	̸=	̸=	PROPN
ejpam-4538	103	12	0	0	NUM
ejpam-4538	103	13	.	.	PUNCT
ejpam-4538	104	1	therefore	therefore	ADV
ejpam-4538	104	2	,	,	PUNCT
ejpam-4538	104	3	lemma	lemma	PROPN
ejpam-4538	104	4	(	(	PUNCT
ejpam-4538	104	5	2	2	NUM
ejpam-4538	104	6	)	)	PUNCT
ejpam-4538	104	7	is	be	AUX
ejpam-4538	104	8	sufficient	sufficient	ADJ
ejpam-4538	104	9	to	to	PART
ejpam-4538	104	10	show	show	VERB
ejpam-4538	104	11	that	that	SCONJ
ejpam-4538	104	12	||dk||	||dk||	PROPN
ejpam-4538	104	13	is	be	AUX
ejpam-4538	104	14	constrained	constrain	VERB
ejpam-4538	104	15	above	above	ADV
ejpam-4538	104	16	.	.	PUNCT
ejpam-4538	105	1	from	from	ADP
ejpam-4538	105	2	(	(	PUNCT
ejpam-4538	105	3	2	2	NUM
ejpam-4538	105	4	)	)	PUNCT
ejpam-4538	105	5	and	and	CCONJ
ejpam-4538	105	6	(	(	PUNCT
ejpam-4538	105	7	8)	8)	NUM
ejpam-4538	105	8	,	,	PUNCT
ejpam-4538	105	9	||dk||	||dk||	NOUN
ejpam-4538	105	10	=	=	SYM
ejpam-4538	105	11	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-4538	105	12	∣∣∣∣∣−gk	∣∣∣∣∣−gk	X
ejpam-4538	105	13	+	+	CCONJ
ejpam-4538	105	14	[	[	PUNCT
ejpam-4538	105	15	gtk	gtk	NOUN
ejpam-4538	105	16	yk−1	yk−1	NOUN
ejpam-4538	105	17	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4538	105	18	−	−	PROPN
ejpam-4538	105	19	dtk−1gk	dtk−1gk	PROPN
ejpam-4538	105	20	||dk−1||2	||dk−1||2	PROPN
ejpam-4538	105	21	]	]	PUNCT
ejpam-4538	105	22	dk−1	dk−1	PROPN
ejpam-4538	105	23	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-4538	105	24	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-4538	105	25	since	since	SCONJ
ejpam-4538	105	26	∣∣dtk−1yk−1	∣∣dtk−1yk−1	NUM
ejpam-4538	105	27	∣∣	∣∣	NUM
ejpam-4538	105	28	≥	≥	NUM
ejpam-4538	105	29	m||dk−1||.||yk−1||	m||dk−1||.||yk−1||	NOUN
ejpam-4538	105	30	,	,	PUNCT
ejpam-4538	105	31	where	where	SCONJ
ejpam-4538	105	32	m	m	VERB
ejpam-4538	105	33	>	>	X
ejpam-4538	105	34	0	0	PUNCT
ejpam-4538	106	1	[	[	X
ejpam-4538	106	2	20	20	NUM
ejpam-4538	106	3	]	]	PUNCT
ejpam-4538	106	4	,	,	PUNCT
ejpam-4538	106	5	so	so	ADV
ejpam-4538	106	6	||dk||	||dk||	VERB
ejpam-4538	106	7	≤	≤	PROPN
ejpam-4538	106	8	||gk||+	||gk||+	PROPN
ejpam-4538	106	9	||gk||.||yk−1||	||gk||.||yk−1||	PROPN
ejpam-4538	106	10	m||dk−1||.||yk−1||	m||dk−1||.||yk−1||	PROPN
ejpam-4538	106	11	−	−	NOUN
ejpam-4538	106	12	||gk||	||gk||	ADJ
ejpam-4538	106	13	≤	≤	NUM
ejpam-4538	106	14	(	(	PUNCT
ejpam-4538	106	15	1	1	NUM
ejpam-4538	106	16	m||dk−1||	m||dk−1||	NOUN
ejpam-4538	106	17	)	)	PUNCT
ejpam-4538	106	18	||gk||	||gk||	VERB
ejpam-4538	106	19	≤	≤	NUM
ejpam-4538	106	20	(	(	PUNCT
ejpam-4538	106	21	1	1	NUM
ejpam-4538	106	22	m.v	m.v	PROPN
ejpam-4538	106	23	)	)	PUNCT
ejpam-4538	106	24	ω	ω	PROPN
ejpam-4538	106	25	=	=	SYM
ejpam-4538	106	26	µ	µ	PROPN
ejpam-4538	106	27	⇒	⇒	NOUN
ejpam-4538	106	28	∑	∑	PUNCT
ejpam-4538	106	29	k≥1	k≥1	PROPN
ejpam-4538	106	30	1	1	NUM
ejpam-4538	106	31	||dk||2	||dk||2	NOUN
ejpam-4538	106	32	≥	≥	NOUN
ejpam-4538	106	33	1	1	NUM
ejpam-4538	106	34	µ2	µ2	PROPN
ejpam-4538	106	35	∑	∑	PUNCT
ejpam-4538	106	36	k≥1	k≥1	PROPN
ejpam-4538	106	37	1	1	NUM
ejpam-4538	106	38	=	=	SYM
ejpam-4538	106	39	∞	∞	NUM
ejpam-4538	106	40	as	as	ADP
ejpam-4538	106	41	a	a	DET
ejpam-4538	106	42	result	result	NOUN
ejpam-4538	106	43	,	,	PUNCT
ejpam-4538	106	44	(	(	PUNCT
ejpam-4538	106	45	24	24	NUM
ejpam-4538	106	46	)	)	PUNCT
ejpam-4538	106	47	applies	apply	VERB
ejpam-4538	106	48	to	to	ADP
ejpam-4538	106	49	all	all	PRON
ejpam-4538	106	50	k.	k.	PROPN
ejpam-4538	106	51	3	3	X
ejpam-4538	106	52	.	.	PUNCT
ejpam-4538	106	53	numerical	numerical	PROPN
ejpam-4538	106	54	results	result	NOUN
ejpam-4538	106	55	the	the	DET
ejpam-4538	106	56	main	main	ADJ
ejpam-4538	106	57	task	task	NOUN
ejpam-4538	106	58	in	in	ADP
ejpam-4538	106	59	this	this	DET
ejpam-4538	106	60	section	section	NOUN
ejpam-4538	106	61	is	be	AUX
ejpam-4538	106	62	to	to	PART
ejpam-4538	106	63	report	report	VERB
ejpam-4538	106	64	the	the	DET
ejpam-4538	106	65	algorithm	algorithm	NOUN
ejpam-4538	106	66	(	(	PUNCT
ejpam-4538	106	67	a	a	DET
ejpam-4538	106	68	performance	performance	NOUN
ejpam-4538	106	69	)	)	PUNCT
ejpam-4538	106	70	’s	’s	ADV
ejpam-4538	106	71	on	on	ADP
ejpam-4538	106	72	a	a	DET
ejpam-4538	106	73	set	set	NOUN
ejpam-4538	106	74	of	of	ADP
ejpam-4538	106	75	test	test	NOUN
ejpam-4538	106	76	functions	function	NOUN
ejpam-4538	106	77	.	.	PUNCT
ejpam-4538	107	1	all	all	DET
ejpam-4538	107	2	codes	code	NOUN
ejpam-4538	107	3	are	be	AUX
ejpam-4538	107	4	written	write	VERB
ejpam-4538	107	5	with	with	ADP
ejpam-4538	107	6	double	double	ADJ
ejpam-4538	107	7	precision	precision	NOUN
ejpam-4538	107	8	in	in	ADP
ejpam-4538	107	9	fortran	fortran	NOUN
ejpam-4538	107	10	.	.	PUNCT
ejpam-4538	108	1	we	we	PRON
ejpam-4538	108	2	chose	choose	VERB
ejpam-4538	108	3	twenty	twenty	NUM
ejpam-4538	108	4	unconstrained	unconstrained	ADJ
ejpam-4538	108	5	large	large	ADJ
ejpam-4538	108	6	-	-	PUNCT
ejpam-4538	108	7	scale	scale	NOUN
ejpam-4538	108	8	optimization	optimization	NOUN
ejpam-4538	108	9	test	test	NOUN
ejpam-4538	108	10	problems	problem	NOUN
ejpam-4538	108	11	.	.	PUNCT
ejpam-4538	109	1	we	we	PRON
ejpam-4538	109	2	considered	consider	VERB
ejpam-4538	109	3	two	two	NUM
ejpam-4538	109	4	experiments	experiment	NOUN
ejpam-4538	109	5	with	with	ADP
ejpam-4538	109	6	different	different	ADJ
ejpam-4538	109	7	numbers	number	NOUN
ejpam-4538	109	8	of	of	ADP
ejpam-4538	109	9	variables	variable	NOUN
ejpam-4538	109	10	(	(	PUNCT
ejpam-4538	109	11	n=100	n=100	NUM
ejpam-4538	109	12	and	and	CCONJ
ejpam-4538	109	13	1000	1000	NUM
ejpam-4538	109	14	)	)	PUNCT
ejpam-4538	109	15	for	for	ADP
ejpam-4538	109	16	each	each	DET
ejpam-4538	109	17	test	test	NOUN
ejpam-4538	109	18	function	function	NOUN
ejpam-4538	109	19	.	.	PUNCT
ejpam-4538	110	1	the	the	DET
ejpam-4538	110	2	test	test	NOUN
ejpam-4538	110	3	problems	problem	NOUN
ejpam-4538	110	4	are	be	AUX
ejpam-4538	110	5	from	from	ADP
ejpam-4538	110	6	the	the	DET
ejpam-4538	110	7	cute	cute	ADJ
ejpam-4538	110	8	[	[	X
ejpam-4538	110	9	6	6	NUM
ejpam-4538	110	10	]	]	PUNCT
ejpam-4538	110	11	library	library	NOUN
ejpam-4538	110	12	,	,	PUNCT
ejpam-4538	110	13	as	as	ADV
ejpam-4538	110	14	well	well	ADV
ejpam-4538	110	15	as	as	ADP
ejpam-4538	110	16	other	other	ADJ
ejpam-4538	110	17	large	large	ADJ
ejpam-4538	110	18	-	-	PUNCT
ejpam-4538	110	19	scale	scale	NOUN
ejpam-4538	110	20	optimization	optimization	NOUN
ejpam-4538	110	21	test	test	NOUN
ejpam-4538	110	22	problems	problem	NOUN
ejpam-4538	110	23	from	from	ADP
ejpam-4538	110	24	[	[	X
ejpam-4538	110	25	4	4	NUM
ejpam-4538	110	26	]	]	PUNCT
ejpam-4538	110	27	.	.	PUNCT
ejpam-4538	111	1	to	to	PART
ejpam-4538	111	2	assess	assess	VERB
ejpam-4538	111	3	the	the	DET
ejpam-4538	111	4	reliability	reliability	NOUN
ejpam-4538	111	5	of	of	ADP
ejpam-4538	111	6	our	our	PRON
ejpam-4538	111	7	algorithms	algorithm	NOUN
ejpam-4538	111	8	,	,	PUNCT
ejpam-4538	111	9	we	we	PRON
ejpam-4538	111	10	used	use	VERB
ejpam-4538	111	11	the	the	DET
ejpam-4538	111	12	same	same	ADJ
ejpam-4538	111	13	test	test	NOUN
ejpam-4538	111	14	functions	function	NOUN
ejpam-4538	111	15	to	to	PART
ejpam-4538	111	16	compare	compare	VERB
ejpam-4538	111	17	them	they	PRON
ejpam-4538	111	18	to	to	ADP
ejpam-4538	111	19	the	the	DET
ejpam-4538	111	20	well	well	ADV
ejpam-4538	111	21	-	-	PUNCT
ejpam-4538	111	22	known	know	VERB
ejpam-4538	111	23	routines	routine	NOUN
ejpam-4538	111	24	hs	hs	PROPN
ejpam-4538	111	25	,	,	PUNCT
ejpam-4538	111	26	dy	dy	PROPN
ejpam-4538	111	27	,	,	PUNCT
ejpam-4538	111	28	prp	prp	NOUN
ejpam-4538	111	29	and	and	CCONJ
ejpam-4538	111	30	ls	ls	PROPN
ejpam-4538	111	31	.	.	PUNCT
ejpam-4538	112	1	all	all	PRON
ejpam-4538	112	2	of	of	ADP
ejpam-4538	112	3	these	these	DET
ejpam-4538	112	4	algorithms	algorithm	NOUN
ejpam-4538	112	5	use	use	VERB
ejpam-4538	112	6	swp	swp	NOUN
ejpam-4538	112	7	(	(	PUNCT
ejpam-4538	112	8	8)	8)	NUM
ejpam-4538	112	9	and	and	CCONJ
ejpam-4538	112	10	(	(	PUNCT
ejpam-4538	112	11	9	9	NUM
ejpam-4538	112	12	)	)	PUNCT
ejpam-4538	112	13	line	line	NOUN
ejpam-4538	112	14	searches	search	NOUN
ejpam-4538	112	15	with	with	ADP
ejpam-4538	112	16	δ	δ	PROPN
ejpam-4538	112	17	=	=	PROPN
ejpam-4538	112	18	0.001	0.001	NUM
ejpam-4538	112	19	and	and	CCONJ
ejpam-4538	112	20	σ	σ	NUM
ejpam-4538	112	21	=	=	SYM
ejpam-4538	112	22	0.5	0.5	NUM
ejpam-4538	112	23	,	,	PUNCT
ejpam-4538	112	24	respectively	respectively	ADV
ejpam-4538	112	25	.	.	PUNCT
ejpam-4538	113	1	when	when	SCONJ
ejpam-4538	113	2	the	the	DET
ejpam-4538	113	3	following	follow	VERB
ejpam-4538	113	4	stopping	stop	VERB
ejpam-4538	113	5	criterion	criterion	NOUN
ejpam-4538	113	6	is	be	AUX
ejpam-4538	113	7	met	meet	VERB
ejpam-4538	113	8	||gk+1||	||gk+1||	NOUN
ejpam-4538	113	9	≤	≤	PROPN
ejpam-4538	113	10	10−5	10−5	NUM
ejpam-4538	113	11	,	,	PUNCT
ejpam-4538	113	12	all	all	PRON
ejpam-4538	113	13	of	of	ADP
ejpam-4538	113	14	these	these	DET
ejpam-4538	113	15	methods	method	NOUN
ejpam-4538	113	16	terminate	terminate	VERB
ejpam-4538	113	17	.	.	PUNCT
ejpam-4538	114	1	dolan	dolan	PROPN
ejpam-4538	114	2	and	and	CCONJ
ejpam-4538	114	3	mor’e	mor’e	NUM
ejpam-4538	114	4	created	create	VERB
ejpam-4538	114	5	performance	performance	NOUN
ejpam-4538	114	6	profiling	profiling	NOUN
ejpam-4538	114	7	software	software	NOUN
ejpam-4538	114	8	.	.	PUNCT
ejpam-4538	115	1	[	[	X
ejpam-4538	115	2	8	8	NUM
ejpam-4538	115	3	]	]	PUNCT
ejpam-4538	115	4	was	be	AUX
ejpam-4538	115	5	also	also	ADV
ejpam-4538	115	6	used	use	VERB
ejpam-4538	115	7	to	to	PART
ejpam-4538	115	8	analyze	analyze	VERB
ejpam-4538	115	9	the	the	DET
ejpam-4538	115	10	execution	execution	NOUN
ejpam-4538	115	11	figures	figure	NOUN
ejpam-4538	115	12	1	1	NUM
ejpam-4538	115	13	and	and	CCONJ
ejpam-4538	115	14	2	2	NUM
ejpam-4538	116	1	.	.	X
ejpam-4538	116	2	g.	g.	PROPN
ejpam-4538	116	3	m.	m.	PROPN
ejpam-4538	116	4	al	al	PROPN
ejpam-4538	116	5	-	-	PUNCT
ejpam-4538	116	6	naemi	naemi	PROPN
ejpam-4538	116	7	/	/	SYM
ejpam-4538	116	8	eur	eur	PROPN
ejpam-4538	116	9	.	.	PUNCT
ejpam-4538	117	1	j.	j.	PROPN
ejpam-4538	117	2	pure	pure	PROPN
ejpam-4538	117	3	appl	appl	PROPN
ejpam-4538	117	4	.	.	PROPN
ejpam-4538	117	5	math	math	PROPN
ejpam-4538	117	6	,	,	PUNCT
ejpam-4538	117	7	15	15	NUM
ejpam-4538	117	8	(	(	PUNCT
ejpam-4538	117	9	4	4	NUM
ejpam-4538	117	10	)	)	PUNCT
ejpam-4538	117	11	(	(	PUNCT
ejpam-4538	117	12	2022	2022	NUM
ejpam-4538	117	13	)	)	PUNCT
ejpam-4538	117	14	,	,	PUNCT
ejpam-4538	117	15	1683	1683	NUM
ejpam-4538	117	16	-	-	SYM
ejpam-4538	117	17	1693	1693	NUM
ejpam-4538	117	18	1689	1689	NUM
ejpam-4538	117	19	table	table	NOUN
ejpam-4538	117	20	1	1	NUM
ejpam-4538	117	21	:	:	PUNCT
ejpam-4538	117	22	comparison	comparison	NOUN
ejpam-4538	117	23	between	between	ADP
ejpam-4538	117	24	βhs	βhs	NOUN
ejpam-4538	117	25	,	,	PUNCT
ejpam-4538	117	26	βprp	βprp	NOUN
ejpam-4538	117	27	,	,	PUNCT
ejpam-4538	117	28	βls	βls	NOUN
ejpam-4538	117	29	,	,	PUNCT
ejpam-4538	117	30	and	and	CCONJ
ejpam-4538	117	31	βgh	βgh	ADV
ejpam-4538	117	32	with	with	ADP
ejpam-4538	117	33	n	n	PROPN
ejpam-4538	117	34	=	=	SYM
ejpam-4538	117	35	100	100	NUM
ejpam-4538	117	36	test	test	NOUN
ejpam-4538	117	37	functions	function	NOUN
ejpam-4538	117	38	βgh	βgh	X
ejpam-4538	118	1	k	k	PROPN
ejpam-4538	118	2	βhs	βhs	PROPN
ejpam-4538	118	3	k	k	PROPN
ejpam-4538	118	4	βprp	βprp	PROPN
ejpam-4538	118	5	k	k	PROPN
ejpam-4538	118	6	βlsk	βlsk	PROPN
ejpam-4538	118	7	noi	noi	PROPN
ejpam-4538	118	8	nof	nof	PROPN
ejpam-4538	118	9	noi	noi	PROPN
ejpam-4538	118	10	nof	nof	PROPN
ejpam-4538	118	11	noi	noi	PROPN
ejpam-4538	118	12	nof	nof	PROPN
ejpam-4538	118	13	noi	noi	PROPN
ejpam-4538	118	14	nof	nof	PROPN
ejpam-4538	118	15	wood	wood	PROPN
ejpam-4538	118	16	27	27	NUM
ejpam-4538	118	17	64	64	NUM
ejpam-4538	118	18	33	33	NUM
ejpam-4538	118	19	73	73	NUM
ejpam-4538	118	20	29	29	NUM
ejpam-4538	118	21	67	67	NUM
ejpam-4538	118	22	30	30	NUM
ejpam-4538	118	23	69	69	NUM
ejpam-4538	118	24	wolfe	wolfe	PROPN
ejpam-4538	118	25	54	54	NUM
ejpam-4538	118	26	101	101	NUM
ejpam-4538	118	27	55	55	NUM
ejpam-4538	118	28	103	103	NUM
ejpam-4538	118	29	57	57	NUM
ejpam-4538	118	30	114	114	NUM
ejpam-4538	118	31	55	55	NUM
ejpam-4538	118	32	115	115	NUM
ejpam-4538	118	33	rosen	rosen	PROPN
ejpam-4538	118	34	38	38	NUM
ejpam-4538	118	35	101	101	NUM
ejpam-4538	118	36	34	34	NUM
ejpam-4538	118	37	94	94	NUM
ejpam-4538	118	38	35	35	NUM
ejpam-4538	118	39	96	96	NUM
ejpam-4538	118	40	35	35	NUM
ejpam-4538	118	41	96	96	NUM
ejpam-4538	118	42	non	non	NOUN
ejpam-4538	118	43	28	28	NUM
ejpam-4538	118	44	67	67	NUM
ejpam-4538	118	45	30	30	NUM
ejpam-4538	118	46	78	78	NUM
ejpam-4538	118	47	32	32	NUM
ejpam-4538	118	48	81	81	NUM
ejpam-4538	118	49	31	31	NUM
ejpam-4538	118	50	80	80	NUM
ejpam-4538	118	51	shallow	shallow	ADJ
ejpam-4538	118	52	10	10	NUM
ejpam-4538	118	53	25	25	NUM
ejpam-4538	118	54	10	10	NUM
ejpam-4538	118	55	25	25	NUM
ejpam-4538	118	56	10	10	NUM
ejpam-4538	118	57	25	25	NUM
ejpam-4538	118	58	10	10	NUM
ejpam-4538	118	59	25	25	NUM
ejpam-4538	118	60	engval	engval	NOUN
ejpam-4538	118	61	1	1	NUM
ejpam-4538	118	62	21	21	NUM
ejpam-4538	118	63	44	44	NUM
ejpam-4538	118	64	22	22	NUM
ejpam-4538	118	65	46	46	NUM
ejpam-4538	118	66	24	24	NUM
ejpam-4538	118	67	46	46	NUM
ejpam-4538	118	68	22	22	NUM
ejpam-4538	118	69	46	46	NUM
ejpam-4538	118	70	diagonal	diagonal	ADJ
ejpam-4538	118	71	2	2	NUM
ejpam-4538	118	72	54	54	NUM
ejpam-4538	118	73	207	207	NUM
ejpam-4538	118	74	60	60	NUM
ejpam-4538	118	75	213	213	NUM
ejpam-4538	118	76	58	58	NUM
ejpam-4538	118	77	214	214	NUM
ejpam-4538	118	78	60	60	NUM
ejpam-4538	118	79	221	221	NUM
ejpam-4538	118	80	ex	ex	X
ejpam-4538	118	81	.	.	PUNCT
ejpam-4538	118	82	bd1	bd1	PROPN
ejpam-4538	118	83	20	20	NUM
ejpam-4538	118	84	40	40	NUM
ejpam-4538	118	85	22	22	NUM
ejpam-4538	118	86	46	46	NUM
ejpam-4538	118	87	19	19	NUM
ejpam-4538	118	88	39	39	NUM
ejpam-4538	118	89	23	23	NUM
ejpam-4538	118	90	48	48	NUM
ejpam-4538	118	91	ex	ex	X
ejpam-4538	118	92	.	.	PUNCT
ejpam-4538	118	93	wood	wood	NOUN
ejpam-4538	118	94	27	27	NUM
ejpam-4538	118	95	61	61	NUM
ejpam-4538	118	96	29	29	NUM
ejpam-4538	118	97	65	65	NUM
ejpam-4538	118	98	32	32	NUM
ejpam-4538	118	99	67	67	NUM
ejpam-4538	118	100	29	29	NUM
ejpam-4538	118	101	65	65	NUM
ejpam-4538	118	102	powell	powell	NOUN
ejpam-4538	118	103	31	31	NUM
ejpam-4538	118	104	92	92	NUM
ejpam-4538	118	105	37	37	NUM
ejpam-4538	118	106	104	104	NUM
ejpam-4538	118	107	39	39	NUM
ejpam-4538	118	108	112	112	NUM
ejpam-4538	118	109	41	41	NUM
ejpam-4538	118	110	118	118	NUM
ejpam-4538	118	111	dixnaanc	dixnaanc	NOUN
ejpam-4538	118	112	5	5	NUM
ejpam-4538	118	113	15	15	NUM
ejpam-4538	118	114	5	5	NUM
ejpam-4538	118	115	15	15	NUM
ejpam-4538	118	116	5	5	NUM
ejpam-4538	118	117	15	15	NUM
ejpam-4538	118	118	5	5	NUM
ejpam-4538	118	119	15	15	NUM
ejpam-4538	118	120	denschnf	denschnf	NOUN
ejpam-4538	118	121	21	21	NUM
ejpam-4538	118	122	44	44	NUM
ejpam-4538	118	123	24	24	NUM
ejpam-4538	118	124	51	51	NUM
ejpam-4538	118	125	28	28	NUM
ejpam-4538	118	126	60	60	NUM
ejpam-4538	118	127	26	26	NUM
ejpam-4538	118	128	56	56	NUM
ejpam-4538	118	129	dixmaanb	dixmaanb	PROPN
ejpam-4538	118	130	29	29	NUM
ejpam-4538	118	131	66	66	NUM
ejpam-4538	118	132	33	33	NUM
ejpam-4538	118	133	73	73	NUM
ejpam-4538	118	134	26	26	NUM
ejpam-4538	118	135	60	60	NUM
ejpam-4538	118	136	27	27	NUM
ejpam-4538	118	137	67	67	NUM
ejpam-4538	118	138	ex	ex	X
ejpam-4538	118	139	.	.	PROPN
ejpam-4538	118	140	rosen	rosen	PROPN
ejpam-4538	118	141	29	29	NUM
ejpam-4538	118	142	66	66	NUM
ejpam-4538	118	143	30	30	NUM
ejpam-4538	118	144	69	69	NUM
ejpam-4538	118	145	31	31	NUM
ejpam-4538	118	146	72	72	NUM
ejpam-4538	118	147	30	30	NUM
ejpam-4538	118	148	70	70	NUM
ejpam-4538	118	149	cubic	cubic	NOUN
ejpam-4538	118	150	14	14	NUM
ejpam-4538	118	151	39	39	NUM
ejpam-4538	118	152	17	17	NUM
ejpam-4538	118	153	46	46	NUM
ejpam-4538	118	154	21	21	NUM
ejpam-4538	118	155	51	51	NUM
ejpam-4538	118	156	16	16	NUM
ejpam-4538	118	157	44	44	NUM
ejpam-4538	118	158	ex	ex	X
ejpam-4538	118	159	.	.	PROPN
ejpam-4538	118	160	beal	beal	NOUN
ejpam-4538	118	161	u63	u63	NOUN
ejpam-4538	118	162	10	10	NUM
ejpam-4538	118	163	27	27	NUM
ejpam-4538	118	164	10	10	NUM
ejpam-4538	118	165	27	27	NUM
ejpam-4538	118	166	10	10	NUM
ejpam-4538	118	167	27	27	NUM
ejpam-4538	118	168	10	10	NUM
ejpam-4538	118	169	27	27	NUM
ejpam-4538	118	170	ex	ex	X
ejpam-4538	118	171	.	.	PROPN
ejpam-4538	118	172	tet	tet	NOUN
ejpam-4538	118	173	39	39	NUM
ejpam-4538	118	174	81	81	NUM
ejpam-4538	118	175	45	45	NUM
ejpam-4538	118	176	98	98	NUM
ejpam-4538	118	177	51	51	NUM
ejpam-4538	118	178	117	117	NUM
ejpam-4538	118	179	53	53	NUM
ejpam-4538	118	180	117	117	NUM
ejpam-4538	118	181	gen.tridiagonal-2	gen.tridiagonal-2	PROPN
ejpam-4538	118	182	116	116	NUM
ejpam-4538	118	183	251	251	NUM
ejpam-4538	118	184	120	120	NUM
ejpam-4538	118	185	255	255	NUM
ejpam-4538	118	186	123	123	NUM
ejpam-4538	118	187	261	261	NUM
ejpam-4538	118	188	125	125	NUM
ejpam-4538	118	189	268	268	NUM
ejpam-4538	118	190	diagonal	diagonal	ADJ
ejpam-4538	118	191	6	6	NUM
ejpam-4538	118	192	3	3	NUM
ejpam-4538	118	193	9	9	NUM
ejpam-4538	118	194	3	3	NUM
ejpam-4538	118	195	9	9	NUM
ejpam-4538	118	196	3	3	NUM
ejpam-4538	118	197	9	9	NUM
ejpam-4538	118	198	3	3	NUM
ejpam-4538	118	199	9	9	NUM
ejpam-4538	118	200	sum	sum	NOUN
ejpam-4538	118	201	16	16	NUM
ejpam-4538	118	202	77	77	NUM
ejpam-4538	118	203	18	18	NUM
ejpam-4538	118	204	82	82	NUM
ejpam-4538	118	205	21	21	NUM
ejpam-4538	118	206	110	110	NUM
ejpam-4538	118	207	20	20	NUM
ejpam-4538	118	208	103	103	NUM
ejpam-4538	118	209	total	total	NOUN
ejpam-4538	118	210	592	592	NUM
ejpam-4538	118	211	1477	1477	NUM
ejpam-4538	118	212	637	637	NUM
ejpam-4538	118	213	1542	1542	NUM
ejpam-4538	118	214	653	653	NUM
ejpam-4538	118	215	1643	1643	NUM
ejpam-4538	118	216	651	651	NUM
ejpam-4538	118	217	1600	1600	NUM
ejpam-4538	118	218	table	table	NOUN
ejpam-4538	118	219	2	2	NUM
ejpam-4538	118	220	:	:	PUNCT
ejpam-4538	118	221	the	the	DET
ejpam-4538	118	222	percentage	percentage	NOUN
ejpam-4538	118	223	between	between	ADP
ejpam-4538	118	224	prp	prp	PROPN
ejpam-4538	118	225	,	,	PUNCT
ejpam-4538	118	226	ls	ls	PROPN
ejpam-4538	118	227	,	,	PUNCT
ejpam-4538	118	228	hs	hs	PROPN
ejpam-4538	118	229	,	,	PUNCT
ejpam-4538	118	230	and	and	CCONJ
ejpam-4538	118	231	gh	gh	PROPN
ejpam-4538	118	232	for	for	ADP
ejpam-4538	118	233	n	n	PROPN
ejpam-4538	118	234	=	=	SYM
ejpam-4538	118	235	100	100	NUM
ejpam-4538	118	236	measurement	measurement	NOUN
ejpam-4538	118	237	prp	prp	PROPN
ejpam-4538	118	238	method	method	PROPN
ejpam-4538	118	239	ls	ls	PROPN
ejpam-4538	118	240	method	method	NOUN
ejpam-4538	118	241	hs	hs	PROPN
ejpam-4538	118	242	method	method	PROPN
ejpam-4538	118	243	gh	gh	PROPN
ejpam-4538	118	244	method	method	PROPN
ejpam-4538	118	245	noi	noi	PROPN
ejpam-4538	118	246	100	100	NUM
ejpam-4538	118	247	%	%	NOUN
ejpam-4538	118	248	99.69	99.69	NUM
ejpam-4538	118	249	%	%	NOUN
ejpam-4538	118	250	97.55	97.55	NUM
ejpam-4538	118	251	%	%	NOUN
ejpam-4538	118	252	90.66	90.66	NUM
ejpam-4538	118	253	%	%	NOUN
ejpam-4538	118	254	nof	nof	NOUN
ejpam-4538	118	255	100	100	NUM
ejpam-4538	118	256	%	%	NOUN
ejpam-4538	118	257	97.38	97.38	NUM
ejpam-4538	118	258	%	%	NOUN
ejpam-4538	118	259	93.85	93.85	NUM
ejpam-4538	118	260	%	%	NOUN
ejpam-4538	118	261	89.9	89.9	NUM
ejpam-4538	118	262	%	%	NOUN
ejpam-4538	118	263	g.	g.	PROPN
ejpam-4538	118	264	m.	m.	PROPN
ejpam-4538	119	1	al	al	PROPN
ejpam-4538	119	2	-	-	PUNCT
ejpam-4538	119	3	naemi	naemi	PROPN
ejpam-4538	119	4	/	/	SYM
ejpam-4538	119	5	eur	eur	PROPN
ejpam-4538	119	6	.	.	PUNCT
ejpam-4538	120	1	j.	j.	PROPN
ejpam-4538	120	2	pure	pure	PROPN
ejpam-4538	120	3	appl	appl	PROPN
ejpam-4538	120	4	.	.	PROPN
ejpam-4538	120	5	math	math	PROPN
ejpam-4538	120	6	,	,	PUNCT
ejpam-4538	120	7	15	15	NUM
ejpam-4538	120	8	(	(	PUNCT
ejpam-4538	120	9	4	4	NUM
ejpam-4538	120	10	)	)	PUNCT
ejpam-4538	120	11	(	(	PUNCT
ejpam-4538	120	12	2022	2022	NUM
ejpam-4538	120	13	)	)	PUNCT
ejpam-4538	120	14	,	,	PUNCT
ejpam-4538	120	15	1683	1683	NUM
ejpam-4538	120	16	-	-	SYM
ejpam-4538	120	17	1693	1693	NUM
ejpam-4538	120	18	1690	1690	NUM
ejpam-4538	120	19	table	table	NOUN
ejpam-4538	120	20	3	3	NUM
ejpam-4538	120	21	:	:	PUNCT
ejpam-4538	120	22	comparison	comparison	NOUN
ejpam-4538	120	23	between	between	ADP
ejpam-4538	120	24	βhs	βhs	NOUN
ejpam-4538	120	25	,	,	PUNCT
ejpam-4538	120	26	βprp	βprp	NOUN
ejpam-4538	120	27	,	,	PUNCT
ejpam-4538	120	28	βls	βls	NOUN
ejpam-4538	120	29	and	and	CCONJ
ejpam-4538	120	30	βgh	βgh	ADV
ejpam-4538	120	31	with	with	ADP
ejpam-4538	120	32	n	n	NOUN
ejpam-4538	120	33	=	=	SYM
ejpam-4538	120	34	1000	1000	NUM
ejpam-4538	120	35	test	test	NOUN
ejpam-4538	120	36	functions	function	NOUN
ejpam-4538	120	37	βgh	βgh	X
ejpam-4538	121	1	k	k	PROPN
ejpam-4538	121	2	βhs	βhs	PROPN
ejpam-4538	121	3	k	k	PROPN
ejpam-4538	121	4	βprp	βprp	PROPN
ejpam-4538	121	5	k	k	PROPN
ejpam-4538	121	6	βlsk	βlsk	PROPN
ejpam-4538	121	7	noi	noi	PROPN
ejpam-4538	121	8	nof	nof	PROPN
ejpam-4538	121	9	noi	noi	PROPN
ejpam-4538	121	10	nof	nof	PROPN
ejpam-4538	121	11	noi	noi	PROPN
ejpam-4538	121	12	nof	nof	PROPN
ejpam-4538	121	13	noi	noi	PROPN
ejpam-4538	121	14	nof	nof	PROPN
ejpam-4538	121	15	wood	wood	PROPN
ejpam-4538	121	16	32	32	NUM
ejpam-4538	121	17	74	74	NUM
ejpam-4538	121	18	36	36	NUM
ejpam-4538	121	19	84	84	NUM
ejpam-4538	121	20	35	35	NUM
ejpam-4538	121	21	81	81	NUM
ejpam-4538	121	22	37	37	NUM
ejpam-4538	121	23	87	87	NUM
ejpam-4538	121	24	wolfe	wolfe	PROPN
ejpam-4538	121	25	58	58	NUM
ejpam-4538	121	26	108	108	NUM
ejpam-4538	121	27	59	59	NUM
ejpam-4538	121	28	119	119	NUM
ejpam-4538	121	29	58	58	NUM
ejpam-4538	121	30	116	116	NUM
ejpam-4538	121	31	59	59	NUM
ejpam-4538	121	32	118	118	NUM
ejpam-4538	121	33	rosen	rosen	PROPN
ejpam-4538	121	34	38	38	NUM
ejpam-4538	121	35	101	101	NUM
ejpam-4538	121	36	34	34	NUM
ejpam-4538	121	37	94	94	NUM
ejpam-4538	121	38	35	35	NUM
ejpam-4538	121	39	96	96	NUM
ejpam-4538	121	40	35	35	NUM
ejpam-4538	121	41	96	96	NUM
ejpam-4538	121	42	non	non	NOUN
ejpam-4538	121	43	30	30	NUM
ejpam-4538	121	44	76	76	NUM
ejpam-4538	121	45	33	33	NUM
ejpam-4538	121	46	84	84	NUM
ejpam-4538	121	47	39	39	NUM
ejpam-4538	121	48	94	94	NUM
ejpam-4538	121	49	32	32	NUM
ejpam-4538	121	50	83	83	NUM
ejpam-4538	121	51	shallow	shallow	ADJ
ejpam-4538	121	52	10	10	NUM
ejpam-4538	121	53	25	25	NUM
ejpam-4538	121	54	10	10	NUM
ejpam-4538	121	55	25	25	NUM
ejpam-4538	121	56	10	10	NUM
ejpam-4538	121	57	25	25	NUM
ejpam-4538	121	58	10	10	NUM
ejpam-4538	121	59	25	25	NUM
ejpam-4538	121	60	engval	engval	NOUN
ejpam-4538	121	61	1	1	NUM
ejpam-4538	121	62	20	20	NUM
ejpam-4538	121	63	44	44	NUM
ejpam-4538	121	64	22	22	NUM
ejpam-4538	121	65	46	46	NUM
ejpam-4538	121	66	23	23	NUM
ejpam-4538	121	67	46	46	NUM
ejpam-4538	121	68	22	22	NUM
ejpam-4538	121	69	46	46	NUM
ejpam-4538	121	70	diagonal	diagonal	ADJ
ejpam-4538	121	71	2	2	NUM
ejpam-4538	121	72	54	54	NUM
ejpam-4538	121	73	207	207	NUM
ejpam-4538	121	74	62	62	NUM
ejpam-4538	121	75	225	225	NUM
ejpam-4538	121	76	58	58	NUM
ejpam-4538	121	77	214	214	NUM
ejpam-4538	121	78	59	59	NUM
ejpam-4538	121	79	219	219	NUM
ejpam-4538	121	80	ex	ex	X
ejpam-4538	121	81	.	.	PUNCT
ejpam-4538	121	82	bd1	bd1	PROPN
ejpam-4538	121	83	21	21	NUM
ejpam-4538	121	84	44	44	NUM
ejpam-4538	121	85	23	23	NUM
ejpam-4538	121	86	48	48	NUM
ejpam-4538	121	87	24	24	NUM
ejpam-4538	121	88	50	50	NUM
ejpam-4538	121	89	23	23	NUM
ejpam-4538	121	90	48	48	NUM
ejpam-4538	121	91	ex	ex	X
ejpam-4538	121	92	.	.	PUNCT
ejpam-4538	121	93	wood	wood	NOUN
ejpam-4538	121	94	27	27	NUM
ejpam-4538	121	95	61	61	NUM
ejpam-4538	121	96	30	30	NUM
ejpam-4538	121	97	67	67	NUM
ejpam-4538	121	98	30	30	NUM
ejpam-4538	121	99	67	67	NUM
ejpam-4538	121	100	29	29	NUM
ejpam-4538	121	101	65	65	NUM
ejpam-4538	121	102	powell	powell	NOUN
ejpam-4538	121	103	39	39	NUM
ejpam-4538	121	104	110	110	NUM
ejpam-4538	121	105	41	41	NUM
ejpam-4538	121	106	109	109	NUM
ejpam-4538	121	107	56	56	NUM
ejpam-4538	121	108	129	129	NUM
ejpam-4538	121	109	52	52	NUM
ejpam-4538	121	110	121	121	NUM
ejpam-4538	121	111	dixnaanc	dixnaanc	NOUN
ejpam-4538	121	112	5	5	NUM
ejpam-4538	121	113	15	15	NUM
ejpam-4538	121	114	5	5	NUM
ejpam-4538	121	115	15	15	NUM
ejpam-4538	121	116	5	5	NUM
ejpam-4538	121	117	15	15	NUM
ejpam-4538	121	118	5	5	NUM
ejpam-4538	121	119	15	15	NUM
ejpam-4538	121	120	denschnf	denschnf	NOUN
ejpam-4538	121	121	27	27	NUM
ejpam-4538	121	122	62	62	NUM
ejpam-4538	121	123	29	29	NUM
ejpam-4538	121	124	67	67	NUM
ejpam-4538	121	125	31	31	NUM
ejpam-4538	121	126	73	73	NUM
ejpam-4538	121	127	30	30	NUM
ejpam-4538	121	128	69	69	NUM
ejpam-4538	121	129	dixmaanb	dixmaanb	PROPN
ejpam-4538	121	130	35	35	NUM
ejpam-4538	121	131	75	75	NUM
ejpam-4538	121	132	39	39	NUM
ejpam-4538	121	133	89	89	NUM
ejpam-4538	121	134	32	32	NUM
ejpam-4538	121	135	67	67	NUM
ejpam-4538	121	136	34	34	NUM
ejpam-4538	121	137	72	72	NUM
ejpam-4538	121	138	ex	ex	X
ejpam-4538	121	139	.	.	PUNCT
ejpam-4538	122	1	rosen	rosen	PROPN
ejpam-4538	122	2	31	31	NUM
ejpam-4538	122	3	69	69	NUM
ejpam-4538	122	4	34	34	NUM
ejpam-4538	122	5	75	75	NUM
ejpam-4538	122	6	37	37	NUM
ejpam-4538	122	7	86	86	NUM
ejpam-4538	122	8	39	39	NUM
ejpam-4538	122	9	90	90	NUM
ejpam-4538	122	10	cubic	cubic	ADJ
ejpam-4538	122	11	16	16	NUM
ejpam-4538	122	12	41	41	NUM
ejpam-4538	122	13	18	18	NUM
ejpam-4538	122	14	50	50	NUM
ejpam-4538	122	15	21	21	NUM
ejpam-4538	122	16	59	59	NUM
ejpam-4538	122	17	20	20	NUM
ejpam-4538	122	18	55	55	NUM
ejpam-4538	122	19	ex	ex	X
ejpam-4538	122	20	.	.	PROPN
ejpam-4538	122	21	beal	beal	NOUN
ejpam-4538	122	22	u63	u63	NOUN
ejpam-4538	122	23	12	12	NUM
ejpam-4538	122	24	29	29	NUM
ejpam-4538	122	25	12	12	NUM
ejpam-4538	122	26	29	29	NUM
ejpam-4538	122	27	12	12	NUM
ejpam-4538	122	28	29	29	NUM
ejpam-4538	122	29	12	12	NUM
ejpam-4538	122	30	29	29	NUM
ejpam-4538	122	31	ex	ex	X
ejpam-4538	122	32	.	.	PROPN
ejpam-4538	122	33	tet	tet	NOUN
ejpam-4538	122	34	48	48	NUM
ejpam-4538	122	35	95	95	NUM
ejpam-4538	122	36	54	54	NUM
ejpam-4538	122	37	109	109	NUM
ejpam-4538	122	38	59	59	NUM
ejpam-4538	122	39	118	118	NUM
ejpam-4538	122	40	58	58	NUM
ejpam-4538	122	41	116	116	NUM
ejpam-4538	122	42	gen.tridiagonal-2	gen.tridiagonal-2	NOUN
ejpam-4538	122	43	121	121	NUM
ejpam-4538	122	44	232	232	NUM
ejpam-4538	122	45	125	125	NUM
ejpam-4538	122	46	234	234	NUM
ejpam-4538	122	47	127	127	NUM
ejpam-4538	122	48	239	239	NUM
ejpam-4538	122	49	130	130	NUM
ejpam-4538	122	50	241	241	NUM
ejpam-4538	122	51	diagonal	diagonal	ADJ
ejpam-4538	122	52	6	6	NUM
ejpam-4538	122	53	3	3	NUM
ejpam-4538	122	54	9	9	NUM
ejpam-4538	122	55	3	3	NUM
ejpam-4538	122	56	9	9	NUM
ejpam-4538	122	57	3	3	NUM
ejpam-4538	122	58	9	9	NUM
ejpam-4538	122	59	3	3	NUM
ejpam-4538	122	60	9	9	NUM
ejpam-4538	122	61	sum	sum	NOUN
ejpam-4538	122	62	19	19	NUM
ejpam-4538	122	63	83	83	NUM
ejpam-4538	122	64	20	20	NUM
ejpam-4538	122	65	87	87	NUM
ejpam-4538	122	66	23	23	NUM
ejpam-4538	122	67	115	115	NUM
ejpam-4538	122	68	22	22	NUM
ejpam-4538	122	69	107	107	NUM
ejpam-4538	122	70	total	total	NOUN
ejpam-4538	122	71	647	647	NUM
ejpam-4538	122	72	1571	1571	NUM
ejpam-4538	122	73	689	689	NUM
ejpam-4538	122	74	1663	1663	NUM
ejpam-4538	122	75	722	722	NUM
ejpam-4538	122	76	1759	1759	NUM
ejpam-4538	122	77	711	711	NUM
ejpam-4538	122	78	1691	1691	NUM
ejpam-4538	122	79	table	table	NOUN
ejpam-4538	122	80	2	2	NUM
ejpam-4538	122	81	shows	show	VERB
ejpam-4538	122	82	that	that	SCONJ
ejpam-4538	122	83	the	the	DET
ejpam-4538	122	84	proposed	propose	VERB
ejpam-4538	122	85	βgh	βgh	X
ejpam-4538	122	86	k	k	PROPN
ejpam-4538	122	87	formula	formula	NOUN
ejpam-4538	122	88	outperforms	outperform	VERB
ejpam-4538	122	89	the	the	DET
ejpam-4538	122	90	classic	classic	ADJ
ejpam-4538	122	91	βprp	βprp	NOUN
ejpam-4538	123	1	k	k	PROPN
ejpam-4538	123	2	,	,	PUNCT
ejpam-4538	123	3	βlsk	βlsk	ADJ
ejpam-4538	123	4	,	,	PUNCT
ejpam-4538	123	5	and	and	CCONJ
ejpam-4538	123	6	βhs	βhs	NOUN
ejpam-4538	123	7	k	k	PROPN
ejpam-4538	123	8	formulas	formula	NOUN
ejpam-4538	123	9	in	in	ADP
ejpam-4538	123	10	terms	term	NOUN
ejpam-4538	123	11	of	of	ADP
ejpam-4538	123	12	percentage	percentage	NOUN
ejpam-4538	123	13	performance	performance	NOUN
ejpam-4538	123	14	.	.	PUNCT
ejpam-4538	124	1	we	we	PRON
ejpam-4538	124	2	discovered	discover	VERB
ejpam-4538	124	3	that	that	SCONJ
ejpam-4538	124	4	the	the	DET
ejpam-4538	124	5	proposed	propose	VERB
ejpam-4538	124	6	gh	gh	PROPN
ejpam-4538	124	7	algorithm	algorithm	PROPN
ejpam-4538	124	8	saves	save	VERB
ejpam-4538	124	9	(	(	PUNCT
ejpam-4538	124	10	noi	noi	PROPN
ejpam-4538	124	11	,	,	PUNCT
ejpam-4538	124	12	9.34	9.34	NUM
ejpam-4538	124	13	%	%	NOUN
ejpam-4538	124	14	)	)	PUNCT
ejpam-4538	124	15	,	,	PUNCT
ejpam-4538	124	16	(	(	PUNCT
ejpam-4538	124	17	nof	nof	PROPN
ejpam-4538	124	18	,	,	PUNCT
ejpam-4538	124	19	10.1	10.1	NUM
ejpam-4538	124	20	%	%	NOUN
ejpam-4538	124	21	)	)	PUNCT
ejpam-4538	124	22	,	,	PUNCT
ejpam-4538	124	23	the	the	DET
ejpam-4538	124	24	ls	ls	ADJ
ejpam-4538	124	25	algorithm	algorithm	NOUN
ejpam-4538	124	26	saves	save	VERB
ejpam-4538	124	27	(	(	PUNCT
ejpam-4538	124	28	noi	noi	PROPN
ejpam-4538	124	29	,	,	PUNCT
ejpam-4538	124	30	0.31	0.31	NUM
ejpam-4538	124	31	%	%	NOUN
ejpam-4538	124	32	)	)	PUNCT
ejpam-4538	124	33	,	,	PUNCT
ejpam-4538	124	34	(	(	PUNCT
ejpam-4538	124	35	nof	nof	PROPN
ejpam-4538	124	36	,	,	PUNCT
ejpam-4538	124	37	2.62	2.62	NUM
ejpam-4538	124	38	%	%	NOUN
ejpam-4538	124	39	)	)	PUNCT
ejpam-4538	124	40	and	and	CCONJ
ejpam-4538	124	41	the	the	DET
ejpam-4538	124	42	hs	hs	PROPN
ejpam-4538	124	43	algorithm	algorithm	PROPN
ejpam-4538	124	44	saves	save	VERB
ejpam-4538	124	45	(	(	PUNCT
ejpam-4538	124	46	noi	noi	PROPN
ejpam-4538	124	47	,	,	PUNCT
ejpam-4538	124	48	2.45	2.45	NUM
ejpam-4538	124	49	%	%	NOUN
ejpam-4538	124	50	)	)	PUNCT
ejpam-4538	124	51	,	,	PUNCT
ejpam-4538	124	52	(	(	PUNCT
ejpam-4538	124	53	nof	nof	PROPN
ejpam-4538	124	54	,	,	PUNCT
ejpam-4538	124	55	6.15	6.15	NUM
ejpam-4538	124	56	%	%	NOUN
ejpam-4538	124	57	)	)	PUNCT
ejpam-4538	124	58	,	,	PUNCT
ejpam-4538	124	59	for	for	ADP
ejpam-4538	124	60	n	n	NOUN
ejpam-4538	124	61	=	=	SYM
ejpam-4538	124	62	100	100	NUM
ejpam-4538	124	63	.	.	PUNCT
ejpam-4538	124	64	table	table	NOUN
ejpam-4538	124	65	4	4	NUM
ejpam-4538	124	66	shows	show	VERB
ejpam-4538	124	67	that	that	SCONJ
ejpam-4538	124	68	the	the	DET
ejpam-4538	124	69	proposed	propose	VERB
ejpam-4538	124	70	βgh	βgh	X
ejpam-4538	124	71	k	k	PROPN
ejpam-4538	124	72	formula	formula	NOUN
ejpam-4538	124	73	outperforms	outperform	VERB
ejpam-4538	124	74	the	the	DET
ejpam-4538	124	75	classic	classic	ADJ
ejpam-4538	124	76	βprp	βprp	NOUN
ejpam-4538	125	1	k	k	PROPN
ejpam-4538	125	2	,	,	PUNCT
ejpam-4538	125	3	βlsk	βlsk	ADJ
ejpam-4538	125	4	,	,	PUNCT
ejpam-4538	125	5	and	and	CCONJ
ejpam-4538	125	6	βhs	βhs	NOUN
ejpam-4538	125	7	k	k	PROPN
ejpam-4538	125	8	formulas	formula	NOUN
ejpam-4538	125	9	in	in	ADP
ejpam-4538	125	10	terms	term	NOUN
ejpam-4538	125	11	of	of	ADP
ejpam-4538	125	12	percentage	percentage	NOUN
ejpam-4538	125	13	performance	performance	NOUN
ejpam-4538	125	14	.	.	PUNCT
ejpam-4538	126	1	we	we	PRON
ejpam-4538	126	2	discovered	discover	VERB
ejpam-4538	126	3	that	that	SCONJ
ejpam-4538	126	4	the	the	DET
ejpam-4538	126	5	proposed	propose	VERB
ejpam-4538	126	6	gh	gh	PROPN
ejpam-4538	126	7	algorithm	algorithm	PROPN
ejpam-4538	126	8	saves	save	VERB
ejpam-4538	126	9	(	(	PUNCT
ejpam-4538	126	10	noi	noi	PROPN
ejpam-4538	126	11	,	,	PUNCT
ejpam-4538	126	12	9.0	9.0	NUM
ejpam-4538	126	13	%	%	NOUN
ejpam-4538	126	14	)	)	PUNCT
ejpam-4538	126	15	,	,	PUNCT
ejpam-4538	126	16	(	(	PUNCT
ejpam-4538	126	17	nof	nof	PROPN
ejpam-4538	126	18	,	,	PUNCT
ejpam-4538	126	19	7.1	7.1	NUM
ejpam-4538	126	20	%	%	NOUN
ejpam-4538	126	21	)	)	PUNCT
ejpam-4538	126	22	,	,	PUNCT
ejpam-4538	126	23	the	the	DET
ejpam-4538	126	24	ls	ls	ADJ
ejpam-4538	126	25	algorithm	algorithm	NOUN
ejpam-4538	126	26	saves	save	VERB
ejpam-4538	126	27	(	(	PUNCT
ejpam-4538	126	28	noi	noi	PROPN
ejpam-4538	126	29	,	,	PUNCT
ejpam-4538	126	30	1.52	1.52	NUM
ejpam-4538	126	31	%	%	NOUN
ejpam-4538	126	32	)	)	PUNCT
ejpam-4538	126	33	,	,	PUNCT
ejpam-4538	126	34	(	(	PUNCT
ejpam-4538	126	35	nof	nof	PROPN
ejpam-4538	126	36	,	,	PUNCT
ejpam-4538	126	37	3.86	3.86	NUM
ejpam-4538	126	38	%	%	NOUN
ejpam-4538	126	39	)	)	PUNCT
ejpam-4538	126	40	and	and	CCONJ
ejpam-4538	126	41	the	the	DET
ejpam-4538	126	42	hs	hs	PROPN
ejpam-4538	126	43	algorithm	algorithm	PROPN
ejpam-4538	126	44	saves	save	VERB
ejpam-4538	126	45	(	(	PUNCT
ejpam-4538	126	46	noi	noi	PROPN
ejpam-4538	126	47	,	,	PUNCT
ejpam-4538	126	48	4.57	4.57	NUM
ejpam-4538	126	49	%	%	NOUN
ejpam-4538	126	50	)	)	PUNCT
ejpam-4538	126	51	,	,	PUNCT
ejpam-4538	126	52	(	(	PUNCT
ejpam-4538	126	53	nof	nof	PROPN
ejpam-4538	126	54	,	,	PUNCT
ejpam-4538	126	55	5.46	5.46	NUM
ejpam-4538	126	56	%	%	NOUN
ejpam-4538	126	57	)	)	PUNCT
ejpam-4538	126	58	,	,	PUNCT
ejpam-4538	126	59	for	for	ADP
ejpam-4538	126	60	n	n	NOUN
ejpam-4538	126	61	=	=	SYM
ejpam-4538	126	62	1000	1000	NUM
ejpam-4538	126	63	.	.	PUNCT
ejpam-4538	127	1	figures	figure	NOUN
ejpam-4538	127	2	(	(	PUNCT
ejpam-4538	127	3	1	1	NUM
ejpam-4538	127	4	)	)	PUNCT
ejpam-4538	127	5	(	(	PUNCT
ejpam-4538	127	6	a	a	X
ejpam-4538	127	7	)	)	PUNCT
ejpam-4538	127	8	and	and	CCONJ
ejpam-4538	127	9	(	(	PUNCT
ejpam-4538	127	10	b	b	X
ejpam-4538	127	11	)	)	PUNCT
ejpam-4538	127	12	depict	depict	VERB
ejpam-4538	127	13	the	the	DET
ejpam-4538	127	14	efficiency	efficiency	NOUN
ejpam-4538	127	15	of	of	ADP
ejpam-4538	127	16	the	the	DET
ejpam-4538	127	17	proposed	propose	VERB
ejpam-4538	127	18	method	method	NOUN
ejpam-4538	127	19	in	in	ADP
ejpam-4538	127	20	terms	term	NOUN
ejpam-4538	127	21	of	of	ADP
ejpam-4538	127	22	noi	noi	PROPN
ejpam-4538	127	23	for	for	ADP
ejpam-4538	127	24	n	n	NOUN
ejpam-4538	127	25	=	=	SYM
ejpam-4538	127	26	100	100	NUM
ejpam-4538	127	27	and	and	CCONJ
ejpam-4538	127	28	1000	1000	NUM
ejpam-4538	127	29	,	,	PUNCT
ejpam-4538	127	30	respectively	respectively	ADV
ejpam-4538	127	31	.	.	PUNCT
ejpam-4538	128	1	figures	figure	NOUN
ejpam-4538	128	2	(	(	PUNCT
ejpam-4538	128	3	2	2	NUM
ejpam-4538	128	4	:	:	PUNCT
ejpam-4538	128	5	(	(	PUNCT
ejpam-4538	128	6	c	c	NOUN
ejpam-4538	128	7	)	)	PUNCT
ejpam-4538	128	8	and	and	CCONJ
ejpam-4538	128	9	(	(	PUNCT
ejpam-4538	128	10	d	d	NOUN
ejpam-4538	128	11	)	)	PUNCT
ejpam-4538	128	12	)	)	PUNCT
ejpam-4538	128	13	demonstrate	demonstrate	VERB
ejpam-4538	128	14	the	the	DET
ejpam-4538	128	15	effectiveness	effectiveness	NOUN
ejpam-4538	128	16	of	of	ADP
ejpam-4538	128	17	the	the	DET
ejpam-4538	128	18	suggested	suggest	VERB
ejpam-4538	128	19	method	method	NOUN
ejpam-4538	128	20	in	in	ADP
ejpam-4538	128	21	terms	term	NOUN
ejpam-4538	128	22	of	of	ADP
ejpam-4538	128	23	nof	nof	PROPN
ejpam-4538	128	24	for	for	ADP
ejpam-4538	128	25	n	n	NOUN
ejpam-4538	128	26	=	=	SYM
ejpam-4538	128	27	100	100	NUM
ejpam-4538	128	28	and	and	CCONJ
ejpam-4538	128	29	1000	1000	NUM
ejpam-4538	128	30	,	,	PUNCT
ejpam-4538	128	31	respectively	respectively	ADV
ejpam-4538	128	32	.	.	PUNCT
ejpam-4538	128	33	table	table	NOUN
ejpam-4538	128	34	4	4	NUM
ejpam-4538	128	35	:	:	PUNCT
ejpam-4538	128	36	the	the	DET
ejpam-4538	128	37	percentage	percentage	NOUN
ejpam-4538	128	38	between	between	ADP
ejpam-4538	128	39	prp	prp	PROPN
ejpam-4538	128	40	,	,	PUNCT
ejpam-4538	128	41	ls	ls	PROPN
ejpam-4538	128	42	,	,	PUNCT
ejpam-4538	128	43	hs	hs	PROPN
ejpam-4538	128	44	,	,	PUNCT
ejpam-4538	128	45	and	and	CCONJ
ejpam-4538	128	46	gh	gh	PROPN
ejpam-4538	128	47	for	for	ADP
ejpam-4538	128	48	n	n	PROPN
ejpam-4538	128	49	=	=	SYM
ejpam-4538	128	50	1000	1000	NUM
ejpam-4538	128	51	measurement	measurement	NOUN
ejpam-4538	128	52	prp	prp	PROPN
ejpam-4538	128	53	method	method	PROPN
ejpam-4538	128	54	ls	ls	PROPN
ejpam-4538	128	55	method	method	NOUN
ejpam-4538	128	56	hs	hs	PROPN
ejpam-4538	128	57	method	method	PROPN
ejpam-4538	128	58	gh	gh	PROPN
ejpam-4538	128	59	method	method	PROPN
ejpam-4538	128	60	noi	noi	PROPN
ejpam-4538	128	61	100	100	NUM
ejpam-4538	128	62	%	%	NOUN
ejpam-4538	128	63	98.48	98.48	NUM
ejpam-4538	128	64	%	%	NOUN
ejpam-4538	128	65	95.43	95.43	NUM
ejpam-4538	128	66	%	%	NOUN
ejpam-4538	128	67	91.0	91.0	NUM
ejpam-4538	128	68	%	%	NOUN
ejpam-4538	128	69	nof	nof	NOUN
ejpam-4538	128	70	100	100	NUM
ejpam-4538	128	71	%	%	NOUN
ejpam-4538	128	72	96.14	96.14	NUM
ejpam-4538	128	73	%	%	NOUN
ejpam-4538	128	74	94.54	94.54	NUM
ejpam-4538	128	75	%	%	NOUN
ejpam-4538	128	76	92.9	92.9	NUM
ejpam-4538	128	77	%	%	NOUN
ejpam-4538	128	78	g.	g.	PROPN
ejpam-4538	128	79	m.	m.	PROPN
ejpam-4538	129	1	al	al	PROPN
ejpam-4538	129	2	-	-	PUNCT
ejpam-4538	129	3	naemi	naemi	PROPN
ejpam-4538	129	4	/	/	SYM
ejpam-4538	129	5	eur	eur	PROPN
ejpam-4538	129	6	.	.	PUNCT
ejpam-4538	130	1	j.	j.	PROPN
ejpam-4538	130	2	pure	pure	PROPN
ejpam-4538	130	3	appl	appl	PROPN
ejpam-4538	130	4	.	.	PROPN
ejpam-4538	130	5	math	math	PROPN
ejpam-4538	130	6	,	,	PUNCT
ejpam-4538	130	7	15	15	NUM
ejpam-4538	130	8	(	(	PUNCT
ejpam-4538	130	9	4	4	NUM
ejpam-4538	130	10	)	)	PUNCT
ejpam-4538	130	11	(	(	PUNCT
ejpam-4538	130	12	2022	2022	NUM
ejpam-4538	130	13	)	)	PUNCT
ejpam-4538	130	14	,	,	PUNCT
ejpam-4538	130	15	1683	1683	NUM
ejpam-4538	130	16	-	-	SYM
ejpam-4538	130	17	1693	1693	NUM
ejpam-4538	130	18	1691	1691	NUM
ejpam-4538	130	19	figure	figure	NOUN
ejpam-4538	130	20	1	1	NUM
ejpam-4538	130	21	:	:	PUNCT
ejpam-4538	130	22	the	the	DET
ejpam-4538	130	23	comparison	comparison	NOUN
ejpam-4538	130	24	based	base	VERB
ejpam-4538	130	25	(	(	PUNCT
ejpam-4538	130	26	noi	noi	PROPN
ejpam-4538	130	27	)	)	PUNCT
ejpam-4538	130	28	between	between	ADP
ejpam-4538	130	29	βhs	βhs	NOUN
ejpam-4538	130	30	,	,	PUNCT
ejpam-4538	130	31	βprp	βprp	NOUN
ejpam-4538	130	32	,	,	PUNCT
ejpam-4538	130	33	βls	βls	NOUN
ejpam-4538	130	34	,	,	PUNCT
ejpam-4538	130	35	and	and	CCONJ
ejpam-4538	130	36	new	new	ADJ
ejpam-4538	130	37	βgh	βgh	X
ejpam-4538	130	38	(	(	PUNCT
ejpam-4538	130	39	a	a	NOUN
ejpam-4538	130	40	)	)	PUNCT
ejpam-4538	130	41	n=100	n=100	PROPN
ejpam-4538	130	42	and	and	CCONJ
ejpam-4538	130	43	(	(	PUNCT
ejpam-4538	130	44	b	b	X
ejpam-4538	130	45	)	)	PUNCT
ejpam-4538	130	46	n=1000	n=1000	PROPN
ejpam-4538	130	47	figure	figure	NOUN
ejpam-4538	130	48	2	2	NUM
ejpam-4538	130	49	:	:	PUNCT
ejpam-4538	130	50	the	the	DET
ejpam-4538	130	51	comparison	comparison	NOUN
ejpam-4538	130	52	based	base	VERB
ejpam-4538	130	53	(	(	PUNCT
ejpam-4538	130	54	noi	noi	PROPN
ejpam-4538	130	55	)	)	PUNCT
ejpam-4538	130	56	between	between	ADP
ejpam-4538	130	57	βhs	βhs	NOUN
ejpam-4538	130	58	,	,	PUNCT
ejpam-4538	130	59	βprp	βprp	NOUN
ejpam-4538	130	60	,	,	PUNCT
ejpam-4538	130	61	βls	βls	NOUN
ejpam-4538	130	62	,	,	PUNCT
ejpam-4538	130	63	and	and	CCONJ
ejpam-4538	130	64	new	new	ADJ
ejpam-4538	130	65	βgh	βgh	X
ejpam-4538	130	66	(	(	PUNCT
ejpam-4538	130	67	c	c	NOUN
ejpam-4538	130	68	)	)	PUNCT
ejpam-4538	130	69	n=100	n=100	PROPN
ejpam-4538	130	70	and	and	CCONJ
ejpam-4538	130	71	(	(	PUNCT
ejpam-4538	130	72	d	d	X
ejpam-4538	130	73	)	)	PUNCT
ejpam-4538	130	74	n=1000	n=1000	PROPN
ejpam-4538	130	75	4	4	X
ejpam-4538	130	76	.	.	PUNCT
ejpam-4538	131	1	conclusion	conclusion	NOUN
ejpam-4538	131	2	we	we	PRON
ejpam-4538	131	3	present	present	VERB
ejpam-4538	131	4	a	a	DET
ejpam-4538	131	5	new	new	ADJ
ejpam-4538	131	6	parameter	parameter	NOUN
ejpam-4538	131	7	βgh	βgh	PROPN
ejpam-4538	132	1	k	k	PROPN
ejpam-4538	132	2	based	base	VERB
ejpam-4538	132	3	on	on	ADP
ejpam-4538	132	4	the	the	DET
ejpam-4538	132	5	memoryless	memoryless	NOUN
ejpam-4538	132	6	self	self	NOUN
ejpam-4538	132	7	-	-	PUNCT
ejpam-4538	132	8	scale	scale	NOUN
ejpam-4538	132	9	dfp	dfp	NOUN
ejpam-4538	132	10	qn	qn	PROPN
ejpam-4538	132	11	method	method	NOUN
ejpam-4538	132	12	in	in	ADP
ejpam-4538	132	13	this	this	DET
ejpam-4538	132	14	article	article	NOUN
ejpam-4538	132	15	.	.	PUNCT
ejpam-4538	133	1	any	any	DET
ejpam-4538	133	2	line	line	NOUN
ejpam-4538	133	3	search	search	NOUN
ejpam-4538	133	4	will	will	AUX
ejpam-4538	133	5	suffice	suffice	VERB
ejpam-4538	133	6	to	to	PART
ejpam-4538	133	7	ensure	ensure	VERB
ejpam-4538	133	8	adequate	adequate	ADJ
ejpam-4538	133	9	descent	descent	NOUN
ejpam-4538	133	10	property	property	NOUN
ejpam-4538	133	11	.	.	PUNCT
ejpam-4538	134	1	we	we	PRON
ejpam-4538	134	2	also	also	ADV
ejpam-4538	134	3	demonstrated	demonstrate	VERB
ejpam-4538	134	4	that	that	SCONJ
ejpam-4538	134	5	the	the	DET
ejpam-4538	134	6	zoutendijk	zoutendijk	NOUN
ejpam-4538	134	7	condition	condition	NOUN
ejpam-4538	134	8	holds	hold	VERB
ejpam-4538	134	9	and	and	CCONJ
ejpam-4538	134	10	that	that	SCONJ
ejpam-4538	134	11	the	the	DET
ejpam-4538	134	12	method	method	NOUN
ejpam-4538	134	13	is	be	AUX
ejpam-4538	134	14	globally	globally	ADV
ejpam-4538	134	15	convergent	convergent	ADJ
ejpam-4538	134	16	by	by	ADP
ejpam-4538	134	17	using	use	VERB
ejpam-4538	134	18	some	some	DET
ejpam-4538	134	19	step	step	NOUN
ejpam-4538	134	20	-	-	PUNCT
ejpam-4538	134	21	length	length	NOUN
ejpam-4538	134	22	technique	technique	NOUN
ejpam-4538	134	23	.	.	PUNCT
ejpam-4538	135	1	the	the	DET
ejpam-4538	135	2	numerical	numerical	ADJ
ejpam-4538	135	3	results	result	NOUN
ejpam-4538	135	4	demonstrated	demonstrate	VERB
ejpam-4538	135	5	the	the	DET
ejpam-4538	135	6	proposed	propose	VERB
ejpam-4538	135	7	algorithm	algorithm	NOUN
ejpam-4538	135	8	’s	’s	PART
ejpam-4538	135	9	efficiency	efficiency	NOUN
ejpam-4538	135	10	when	when	SCONJ
ejpam-4538	135	11	compared	compare	VERB
ejpam-4538	135	12	to	to	ADP
ejpam-4538	135	13	some	some	DET
ejpam-4538	135	14	standard	standard	ADJ
ejpam-4538	135	15	formulas	formula	NOUN
ejpam-4538	135	16	.	.	PUNCT
ejpam-4538	136	1	references	reference	NOUN
ejpam-4538	136	2	1692	1692	NUM
ejpam-4538	136	3	acknowledgements	acknowledgement	NOUN
ejpam-4538	136	4	the	the	DET
ejpam-4538	136	5	author	author	NOUN
ejpam-4538	136	6	wishes	wish	VERB
ejpam-4538	136	7	to	to	PART
ejpam-4538	136	8	thank	thank	VERB
ejpam-4538	136	9	the	the	DET
ejpam-4538	136	10	college	college	NOUN
ejpam-4538	136	11	of	of	ADP
ejpam-4538	136	12	comp	comp	PROPN
ejpam-4538	136	13	.	.	PUNCT
ejpam-4538	137	1	sci	sci	PROPN
ejpam-4538	137	2	.	.	PROPN
ejpam-4538	137	3	and	and	CCONJ
ejpam-4538	137	4	math	math	NOUN
ejpam-4538	137	5	.	.	PUNCT
ejpam-4538	138	1	at	at	ADP
ejpam-4538	138	2	the	the	DET
ejpam-4538	138	3	university	university	PROPN
ejpam-4538	138	4	of	of	ADP
ejpam-4538	138	5	mosul	mosul	PROPN
ejpam-4538	138	6	for	for	ADP
ejpam-4538	138	7	their	their	PRON
ejpam-4538	138	8	encouragement	encouragement	NOUN
ejpam-4538	138	9	.	.	PUNCT
ejpam-4538	139	1	references	reference	NOUN
ejpam-4538	139	2	[	[	X
ejpam-4538	139	3	1	1	NUM
ejpam-4538	139	4	]	]	PUNCT
ejpam-4538	139	5	abdelrahman	abdelrahman	NOUN
ejpam-4538	139	6	a	a	X
ejpam-4538	139	7	,	,	PUNCT
ejpam-4538	139	8	osman	osman	NOUN
ejpam-4538	140	1	o	o	NOUN
ejpam-4538	140	2	o	o	X
ejpam-4538	140	3	yousif	yousif	PROPN
ejpam-4538	140	4	,	,	PUNCT
ejpam-4538	140	5	and	and	CCONJ
ejpam-4538	140	6	khalid	khalid	PROPN
ejpam-4538	140	7	i	i	PROPN
ejpam-4538	140	8	osman	osman	PROPN
ejpam-4538	140	9	.	.	PUNCT
ejpam-4538	141	1	a	a	DET
ejpam-4538	141	2	robust	robust	ADJ
ejpam-4538	141	3	modification	modification	NOUN
ejpam-4538	141	4	of	of	ADP
ejpam-4538	141	5	hestenes	hestene	NOUN
ejpam-4538	141	6	–	–	PUNCT
ejpam-4538	141	7	stiefel	stiefel	NOUN
ejpam-4538	141	8	conjugate	conjugate	ADJ
ejpam-4538	141	9	gradient	gradient	NOUN
ejpam-4538	141	10	method	method	NOUN
ejpam-4538	141	11	with	with	ADP
ejpam-4538	141	12	strong	strong	ADJ
ejpam-4538	141	13	wolfe	wolfe	PROPN
ejpam-4538	141	14	line	line	NOUN
ejpam-4538	141	15	search	search	NOUN
ejpam-4538	141	16	.	.	PUNCT
ejpam-4538	142	1	journal	journal	NOUN
ejpam-4538	142	2	of	of	ADP
ejpam-4538	142	3	mathematics	mathematic	NOUN
ejpam-4538	142	4	and	and	CCONJ
ejpam-4538	142	5	statistics	statistic	NOUN
ejpam-4538	142	6	,	,	PUNCT
ejpam-4538	142	7	16(1):54–61	16(1):54–61	NUM
ejpam-4538	142	8	,	,	PUNCT
ejpam-4538	142	9	2020	2020	NUM
ejpam-4538	142	10	.	.	PUNCT
ejpam-4538	143	1	[	[	X
ejpam-4538	143	2	2	2	NUM
ejpam-4538	143	3	]	]	X
ejpam-4538	143	4	m	m	VERB
ejpam-4538	143	5	al	al	PROPN
ejpam-4538	143	6	-	-	PUNCT
ejpam-4538	143	7	baali	baali	PROPN
ejpam-4538	143	8	.	.	PUNCT
ejpam-4538	143	9	descent	descent	NOUN
ejpam-4538	143	10	property	property	NOUN
ejpam-4538	143	11	and	and	CCONJ
ejpam-4538	143	12	global	global	ADJ
ejpam-4538	143	13	convergence	convergence	NOUN
ejpam-4538	143	14	of	of	ADP
ejpam-4538	143	15	the	the	DET
ejpam-4538	143	16	fletcher	fletcher	NOUN
ejpam-4538	143	17	—	—	PUNCT
ejpam-4538	143	18	reeves	reeve	NOUN
ejpam-4538	143	19	method	method	VERB
ejpam-4538	143	20	with	with	ADP
ejpam-4538	143	21	inexact	inexact	ADJ
ejpam-4538	143	22	line	line	NOUN
ejpam-4538	143	23	search	search	NOUN
ejpam-4538	143	24	.	.	PUNCT
ejpam-4538	144	1	i	i	PRON
ejpam-4538	144	2	m	m	VERB
ejpam-4538	144	3	a	a	DET
ejpam-4538	144	4	journal	journal	NOUN
ejpam-4538	144	5	of	of	ADP
ejpam-4538	144	6	numerical	numerical	ADJ
ejpam-4538	144	7	analysis	analysis	NOUN
ejpam-4538	144	8	,	,	PUNCT
ejpam-4538	144	9	5(1):121–124	5(1):121–124	NUM
ejpam-4538	144	10	,	,	PUNCT
ejpam-4538	144	11	1985	1985	NUM
ejpam-4538	144	12	.	.	PUNCT
ejpam-4538	145	1	[	[	X
ejpam-4538	145	2	3	3	X
ejpam-4538	145	3	]	]	X
ejpam-4538	145	4	g	g	PROPN
ejpam-4538	145	5	m	m	PROPN
ejpam-4538	145	6	al	al	PROPN
ejpam-4538	145	7	-	-	PUNCT
ejpam-4538	145	8	naemi	naemi	NOUN
ejpam-4538	145	9	.	.	PUNCT
ejpam-4538	146	1	a	a	DET
ejpam-4538	146	2	new	new	ADJ
ejpam-4538	146	3	modified	modify	VERB
ejpam-4538	146	4	hs	hs	PROPN
ejpam-4538	146	5	algorithm	algorithm	PROPN
ejpam-4538	146	6	with	with	ADP
ejpam-4538	146	7	strong	strong	ADJ
ejpam-4538	146	8	powell	powell	PROPN
ejpam-4538	146	9	-	-	PUNCT
ejpam-4538	146	10	wolfe	wolfe	PROPN
ejpam-4538	146	11	line	line	NOUN
ejpam-4538	146	12	search	search	NOUN
ejpam-4538	146	13	for	for	ADP
ejpam-4538	146	14	unconstrained	unconstrained	ADJ
ejpam-4538	146	15	optimization	optimization	NOUN
ejpam-4538	146	16	.	.	PUNCT
ejpam-4538	147	1	eastern	eastern	ADJ
ejpam-4538	147	2	-	-	PUNCT
ejpam-4538	147	3	european	european	ADJ
ejpam-4538	147	4	journal	journal	NOUN
ejpam-4538	147	5	of	of	ADP
ejpam-4538	147	6	enterprise	enterprise	NOUN
ejpam-4538	147	7	technologies	technology	NOUN
ejpam-4538	147	8	,	,	PUNCT
ejpam-4538	147	9	2(4):116	2(4):116	NUM
ejpam-4538	147	10	,	,	PUNCT
ejpam-4538	147	11	2022	2022	NUM
ejpam-4538	147	12	.	.	PUNCT
ejpam-4538	148	1	[	[	X
ejpam-4538	148	2	4	4	X
ejpam-4538	148	3	]	]	PUNCT
ejpam-4538	148	4	n	n	PRON
ejpam-4538	148	5	andrei	andrei	NOUN
ejpam-4538	148	6	.	.	PUNCT
ejpam-4538	149	1	an	an	DET
ejpam-4538	149	2	unconstrained	unconstrained	ADJ
ejpam-4538	149	3	optimization	optimization	NOUN
ejpam-4538	149	4	test	test	NOUN
ejpam-4538	149	5	functions	function	NOUN
ejpam-4538	149	6	collection	collection	NOUN
ejpam-4538	149	7	.	.	PUNCT
ejpam-4538	150	1	advance	advance	NOUN
ejpam-4538	150	2	modeling	modeling	NOUN
ejpam-4538	150	3	and	and	CCONJ
ejpam-4538	150	4	optimization	optimization	NOUN
ejpam-4538	150	5	,	,	PUNCT
ejpam-4538	150	6	10(1):147–161	10(1):147–161	PROPN
ejpam-4538	150	7	,	,	PUNCT
ejpam-4538	150	8	2008	2008	NUM
ejpam-4538	150	9	.	.	PUNCT
ejpam-4538	151	1	[	[	X
ejpam-4538	151	2	5	5	NUM
ejpam-4538	151	3	]	]	PUNCT
ejpam-4538	151	4	n	n	PRON
ejpam-4538	151	5	andrei	andrei	NOUN
ejpam-4538	151	6	.	.	PUNCT
ejpam-4538	152	1	nonlinear	nonlinear	ADJ
ejpam-4538	152	2	conjugate	conjugate	ADJ
ejpam-4538	152	3	gradient	gradient	ADJ
ejpam-4538	152	4	methods	method	NOUN
ejpam-4538	152	5	for	for	ADP
ejpam-4538	152	6	unconstrained	unconstrained	ADJ
ejpam-4538	152	7	optimization	optimization	NOUN
ejpam-4538	152	8	.	.	PUNCT
ejpam-4538	153	1	springer	springer	NOUN
ejpam-4538	153	2	international	international	ADJ
ejpam-4538	153	3	publishing	publishing	NOUN
ejpam-4538	153	4	,	,	PUNCT
ejpam-4538	153	5	2020	2020	NUM
ejpam-4538	153	6	.	.	PUNCT
ejpam-4538	154	1	[	[	X
ejpam-4538	154	2	6	6	NUM
ejpam-4538	154	3	]	]	X
ejpam-4538	154	4	i	i	PRON
ejpam-4538	154	5	bongartz	bongartz	VERB
ejpam-4538	154	6	,	,	PUNCT
ejpam-4538	154	7	a	a	DET
ejpam-4538	154	8	r	r	NOUN
ejpam-4538	154	9	conn	conn	PROPN
ejpam-4538	154	10	,	,	PUNCT
ejpam-4538	154	11	n	n	PRON
ejpam-4538	154	12	gould	gould	NOUN
ejpam-4538	154	13	,	,	PUNCT
ejpam-4538	154	14	and	and	CCONJ
ejpam-4538	154	15	ph	ph	ADJ
ejpam-4538	154	16	l	l	NOUN
ejpam-4538	154	17	toint	toint	NOUN
ejpam-4538	154	18	.	.	PUNCT
ejpam-4538	155	1	cute	cute	ADJ
ejpam-4538	155	2	:	:	PUNCT
ejpam-4538	155	3	constrained	constrained	ADJ
ejpam-4538	155	4	and	and	CCONJ
ejpam-4538	155	5	unconstrained	unconstrained	ADJ
ejpam-4538	155	6	testing	testing	NOUN
ejpam-4538	155	7	environment	environment	NOUN
ejpam-4538	155	8	.	.	PUNCT
ejpam-4538	156	1	acm	acm	PROPN
ejpam-4538	156	2	transactions	transaction	NOUN
ejpam-4538	156	3	on	on	ADP
ejpam-4538	156	4	mathematical	mathematical	ADJ
ejpam-4538	156	5	software	software	NOUN
ejpam-4538	156	6	(	(	PUNCT
ejpam-4538	156	7	toms	tom	NOUN
ejpam-4538	156	8	)	)	PUNCT
ejpam-4538	156	9	,	,	PUNCT
ejpam-4538	156	10	21(1):123–160	21(1):123–160	PROPN
ejpam-4538	156	11	,	,	PUNCT
ejpam-4538	156	12	1995	1995	NUM
ejpam-4538	156	13	.	.	PUNCT
ejpam-4538	157	1	[	[	X
ejpam-4538	157	2	7	7	X
ejpam-4538	157	3	]	]	X
ejpam-4538	157	4	y	y	PROPN
ejpam-4538	157	5	chen	chen	PROPN
ejpam-4538	157	6	.	.	PUNCT
ejpam-4538	158	1	global	global	ADJ
ejpam-4538	158	2	convergence	convergence	NOUN
ejpam-4538	158	3	of	of	ADP
ejpam-4538	158	4	a	a	DET
ejpam-4538	158	5	new	new	ADJ
ejpam-4538	158	6	conjugate	conjugate	ADJ
ejpam-4538	158	7	gradient	gradient	NOUN
ejpam-4538	158	8	method	method	NOUN
ejpam-4538	158	9	with	with	ADP
ejpam-4538	158	10	wolfe	wolfe	PROPN
ejpam-4538	158	11	type	type	NOUN
ejpam-4538	158	12	line	line	NOUN
ejpam-4538	158	13	search	search	NOUN
ejpam-4538	158	14	.	.	PUNCT
ejpam-4538	159	1	journal	journal	NOUN
ejpam-4538	159	2	of	of	ADP
ejpam-4538	159	3	information	information	NOUN
ejpam-4538	159	4	and	and	CCONJ
ejpam-4538	159	5	computing	computing	NOUN
ejpam-4538	159	6	science	science	NOUN
ejpam-4538	159	7	,	,	PUNCT
ejpam-4538	159	8	7(1):67–71	7(1):67–71	NUM
ejpam-4538	159	9	,	,	PUNCT
ejpam-4538	159	10	2012	2012	NUM
ejpam-4538	159	11	.	.	PUNCT
ejpam-4538	160	1	[	[	X
ejpam-4538	160	2	8	8	NUM
ejpam-4538	160	3	]	]	X
ejpam-4538	160	4	dolan	dolan	PROPN
ejpam-4538	160	5	elizabeth	elizabeth	PROPN
ejpam-4538	160	6	d	d	PROPN
ejpam-4538	160	7	and	and	CCONJ
ejpam-4538	160	8	moré	moré	ADJ
ejpam-4538	160	9	jorge	jorge	PROPN
ejpam-4538	160	10	j.	j.	PROPN
ejpam-4538	160	11	benchmarking	benchmarke	VERB
ejpam-4538	160	12	optimization	optimization	NOUN
ejpam-4538	160	13	software	software	NOUN
ejpam-4538	160	14	with	with	ADP
ejpam-4538	160	15	performance	performance	NOUN
ejpam-4538	160	16	profiles	profile	NOUN
ejpam-4538	160	17	.	.	PUNCT
ejpam-4538	161	1	mathematical	mathematical	ADJ
ejpam-4538	161	2	programming	programming	NOUN
ejpam-4538	161	3	,	,	PUNCT
ejpam-4538	161	4	91(2):201–213	91(2):201–213	PROPN
ejpam-4538	161	5	,	,	PUNCT
ejpam-4538	161	6	2002	2002	NUM
ejpam-4538	161	7	.	.	PUNCT
ejpam-4538	162	1	[	[	X
ejpam-4538	162	2	9	9	NUM
ejpam-4538	162	3	]	]	X
ejpam-4538	162	4	y	y	NOUN
ejpam-4538	162	5	h	h	NOUN
ejpam-4538	162	6	dai	dai	PROPN
ejpam-4538	162	7	and	and	CCONJ
ejpam-4538	162	8	y	y	PROPN
ejpam-4538	162	9	yuan	yuan	PROPN
ejpam-4538	162	10	.	.	PUNCT
ejpam-4538	163	1	a	a	DET
ejpam-4538	163	2	nonlinear	nonlinear	ADJ
ejpam-4538	163	3	conjugate	conjugate	ADJ
ejpam-4538	163	4	gradient	gradient	NOUN
ejpam-4538	163	5	method	method	NOUN
ejpam-4538	163	6	with	with	ADP
ejpam-4538	163	7	a	a	DET
ejpam-4538	163	8	strong	strong	ADJ
ejpam-4538	163	9	global	global	ADJ
ejpam-4538	163	10	convergence	convergence	NOUN
ejpam-4538	163	11	property	property	NOUN
ejpam-4538	163	12	.	.	PUNCT
ejpam-4538	164	1	siam	siam	PROPN
ejpam-4538	164	2	journal	journal	PROPN
ejpam-4538	164	3	on	on	ADP
ejpam-4538	164	4	optimization	optimization	NOUN
ejpam-4538	164	5	,	,	PUNCT
ejpam-4538	164	6	10(1):177–182	10(1):177–182	NUM
ejpam-4538	164	7	,	,	PUNCT
ejpam-4538	164	8	1999	1999	NUM
ejpam-4538	164	9	.	.	PUNCT
ejpam-4538	165	1	[	[	X
ejpam-4538	165	2	10	10	NUM
ejpam-4538	165	3	]	]	X
ejpam-4538	165	4	r	r	NOUN
ejpam-4538	165	5	fletcher	fletcher	NOUN
ejpam-4538	165	6	.	.	PUNCT
ejpam-4538	166	1	practical	practical	ADJ
ejpam-4538	166	2	methods	method	NOUN
ejpam-4538	166	3	of	of	ADP
ejpam-4538	166	4	optimization	optimization	NOUN
ejpam-4538	166	5	.	.	PUNCT
ejpam-4538	167	1	john	john	PROPN
ejpam-4538	167	2	wiley	wiley	PROPN
ejpam-4538	167	3	&	&	CCONJ
ejpam-4538	167	4	sons	son	NOUN
ejpam-4538	167	5	,	,	PUNCT
ejpam-4538	167	6	1987	1987	NUM
ejpam-4538	167	7	.	.	PUNCT
ejpam-4538	168	1	[	[	X
ejpam-4538	168	2	11	11	NUM
ejpam-4538	168	3	]	]	X
ejpam-4538	168	4	r	r	NOUN
ejpam-4538	168	5	fletcher	fletcher	NOUN
ejpam-4538	168	6	and	and	CCONJ
ejpam-4538	168	7	c	c	PROPN
ejpam-4538	168	8	m	m	PROPN
ejpam-4538	168	9	reeves	reeves	PROPN
ejpam-4538	168	10	.	.	PUNCT
ejpam-4538	169	1	function	function	NOUN
ejpam-4538	169	2	minimization	minimization	NOUN
ejpam-4538	169	3	by	by	ADP
ejpam-4538	169	4	conjugate	conjugate	ADJ
ejpam-4538	169	5	gradients	gradient	NOUN
ejpam-4538	169	6	.	.	PUNCT
ejpam-4538	170	1	the	the	DET
ejpam-4538	170	2	computer	computer	NOUN
ejpam-4538	170	3	journal	journal	NOUN
ejpam-4538	170	4	,	,	PUNCT
ejpam-4538	170	5	7(2):149–154	7(2):149–154	NUM
ejpam-4538	170	6	,	,	PUNCT
ejpam-4538	170	7	1964	1964	NUM
ejpam-4538	170	8	.	.	PUNCT
ejpam-4538	171	1	[	[	X
ejpam-4538	171	2	12	12	NUM
ejpam-4538	171	3	]	]	X
ejpam-4538	171	4	m	m	VERB
ejpam-4538	171	5	r	r	NOUN
ejpam-4538	171	6	hestenes	hestene	NOUN
ejpam-4538	171	7	and	and	CCONJ
ejpam-4538	171	8	e	e	NOUN
ejpam-4538	171	9	stiefel	stiefel	NOUN
ejpam-4538	171	10	.	.	PUNCT
ejpam-4538	172	1	methods	method	NOUN
ejpam-4538	172	2	of	of	ADP
ejpam-4538	172	3	conjugate	conjugate	ADJ
ejpam-4538	172	4	gradients	gradient	NOUN
ejpam-4538	172	5	for	for	ADP
ejpam-4538	172	6	solving	solve	VERB
ejpam-4538	172	7	.	.	PUNCT
ejpam-4538	173	1	journal	journal	PROPN
ejpam-4538	173	2	of	of	ADP
ejpam-4538	173	3	research	research	NOUN
ejpam-4538	173	4	of	of	ADP
ejpam-4538	173	5	the	the	DET
ejpam-4538	173	6	national	national	PROPN
ejpam-4538	173	7	bureau	bureau	PROPN
ejpam-4538	173	8	of	of	ADP
ejpam-4538	173	9	standards	standard	NOUN
ejpam-4538	173	10	,	,	PUNCT
ejpam-4538	173	11	49(6):409	49(6):409	NUM
ejpam-4538	173	12	,	,	PUNCT
ejpam-4538	173	13	1952	1952	NUM
ejpam-4538	173	14	.	.	PUNCT
ejpam-4538	174	1	[	[	X
ejpam-4538	174	2	13	13	NUM
ejpam-4538	174	3	]	]	X
ejpam-4538	174	4	ishak	ishak	PROPN
ejpam-4538	174	5	m	m	PROPN
ejpam-4538	174	6	i	i	PROPN
ejpam-4538	174	7	,	,	PUNCT
ejpam-4538	174	8	marjugi	marjugi	PROPN
ejpam-4538	174	9	s	s	PROPN
ejpam-4538	174	10	m	m	NOUN
ejpam-4538	174	11	,	,	PUNCT
ejpam-4538	174	12	and	and	CCONJ
ejpam-4538	174	13	june	june	PROPN
ejpam-4538	174	14	l.	l.	PROPN
ejpam-4538	175	1	a	a	DET
ejpam-4538	175	2	new	new	ADJ
ejpam-4538	175	3	modified	modify	VERB
ejpam-4538	175	4	conjugate	conjugate	ADJ
ejpam-4538	175	5	gradient	gradient	NOUN
ejpam-4538	175	6	method	method	NOUN
ejpam-4538	175	7	under	under	ADP
ejpam-4538	175	8	the	the	DET
ejpam-4538	175	9	strong	strong	ADJ
ejpam-4538	175	10	wolfe	wolfe	PROPN
ejpam-4538	175	11	line	line	NOUN
ejpam-4538	175	12	search	search	NOUN
ejpam-4538	175	13	for	for	ADP
ejpam-4538	175	14	solving	solve	VERB
ejpam-4538	175	15	unconstrained	unconstrained	ADJ
ejpam-4538	175	16	optimization	optimization	NOUN
ejpam-4538	175	17	problems	problem	NOUN
ejpam-4538	175	18	.	.	PUNCT
ejpam-4538	176	1	mathematical	mathematical	ADJ
ejpam-4538	176	2	modeling	modeling	NOUN
ejpam-4538	176	3	and	and	CCONJ
ejpam-4538	176	4	computing	computing	NOUN
ejpam-4538	176	5	,	,	PUNCT
ejpam-4538	176	6	9(1):111–118	9(1):111–118	NUM
ejpam-4538	176	7	,	,	PUNCT
ejpam-4538	176	8	2022	2022	NUM
ejpam-4538	176	9	.	.	PUNCT
ejpam-4538	177	1	references	reference	NOUN
ejpam-4538	177	2	1693	1693	NUM
ejpam-4538	177	3	[	[	X
ejpam-4538	177	4	14	14	NUM
ejpam-4538	177	5	]	]	X
ejpam-4538	177	6	f	f	PROPN
ejpam-4538	177	7	n	n	PRON
ejpam-4538	177	8	jardow	jardow	PROPN
ejpam-4538	177	9	and	and	CCONJ
ejpam-4538	177	10	g	g	PROPN
ejpam-4538	177	11	m	m	PROPN
ejpam-4538	177	12	al	al	PROPN
ejpam-4538	177	13	-	-	PUNCT
ejpam-4538	177	14	naemi	naemi	NOUN
ejpam-4538	177	15	.	.	PUNCT
ejpam-4538	178	1	a	a	DET
ejpam-4538	178	2	new	new	ADJ
ejpam-4538	178	3	hybrid	hybrid	ADJ
ejpam-4538	178	4	conjugate	conjugate	ADJ
ejpam-4538	178	5	gradient	gradient	ADJ
ejpam-4538	178	6	algorithm	algorithm	NOUN
ejpam-4538	178	7	as	as	ADP
ejpam-4538	178	8	a	a	DET
ejpam-4538	178	9	convex	convex	NOUN
ejpam-4538	178	10	combination	combination	NOUN
ejpam-4538	178	11	of	of	ADP
ejpam-4538	178	12	mmwu	mmwu	NOUN
ejpam-4538	178	13	and	and	CCONJ
ejpam-4538	178	14	rmil	rmil	NOUN
ejpam-4538	178	15	nonlinear	nonlinear	ADJ
ejpam-4538	178	16	problems	problem	NOUN
ejpam-4538	178	17	.	.	PUNCT
ejpam-4538	179	1	journal	journal	NOUN
ejpam-4538	179	2	of	of	ADP
ejpam-4538	179	3	interdisciplinary	interdisciplinary	ADJ
ejpam-4538	179	4	mathematics	mathematic	NOUN
ejpam-4538	179	5	,	,	PUNCT
ejpam-4538	179	6	24(3):637–655	24(3):637–655	NUM
ejpam-4538	179	7	,	,	PUNCT
ejpam-4538	179	8	2021	2021	NUM
ejpam-4538	179	9	.	.	PUNCT
ejpam-4538	180	1	[	[	X
ejpam-4538	180	2	15	15	NUM
ejpam-4538	180	3	]	]	X
ejpam-4538	180	4	y	y	PROPN
ejpam-4538	180	5	liu	liu	PROPN
ejpam-4538	180	6	and	and	CCONJ
ejpam-4538	180	7	c	c	PROPN
ejpam-4538	180	8	storey	storey	NOUN
ejpam-4538	180	9	.	.	PUNCT
ejpam-4538	181	1	efficient	efficient	ADJ
ejpam-4538	181	2	generalized	generalize	VERB
ejpam-4538	181	3	conjugate	conjugate	ADJ
ejpam-4538	181	4	gradient	gradient	ADJ
ejpam-4538	181	5	algorithms	algorithm	NOUN
ejpam-4538	181	6	,	,	PUNCT
ejpam-4538	181	7	part	part	NOUN
ejpam-4538	181	8	1	1	NUM
ejpam-4538	181	9	:	:	PUNCT
ejpam-4538	181	10	theory	theory	NOUN
ejpam-4538	181	11	.	.	PUNCT
ejpam-4538	182	1	journal	journal	NOUN
ejpam-4538	182	2	of	of	ADP
ejpam-4538	182	3	optimization	optimization	NOUN
ejpam-4538	182	4	theory	theory	NOUN
ejpam-4538	182	5	and	and	CCONJ
ejpam-4538	182	6	applications	application	NOUN
ejpam-4538	182	7	,	,	PUNCT
ejpam-4538	182	8	69(1):129–137	69(1):129–137	NUM
ejpam-4538	182	9	,	,	PUNCT
ejpam-4538	182	10	1991	1991	NUM
ejpam-4538	182	11	.	.	PUNCT
ejpam-4538	183	1	[	[	X
ejpam-4538	183	2	16	16	NUM
ejpam-4538	183	3	]	]	X
ejpam-4538	183	4	oke	oke	NOUN
ejpam-4538	183	5	m	m	PROPN
ejpam-4538	183	6	o	o	NOUN
ejpam-4538	183	7	,	,	PUNCT
ejpam-4538	183	8	oyelade	oyelade	VERB
ejpam-4538	183	9	t	t	PROPN
ejpam-4538	183	10	a	a	X
ejpam-4538	183	11	,	,	PUNCT
ejpam-4538	183	12	and	and	CCONJ
ejpam-4538	183	13	raji	raji	PROPN
ejpam-4538	183	14	r	r	NOUN
ejpam-4538	183	15	a.	a.	NOUN
ejpam-4538	183	16	on	on	ADP
ejpam-4538	183	17	a	a	DET
ejpam-4538	183	18	modified	modify	VERB
ejpam-4538	183	19	conjugate	conjugate	ADJ
ejpam-4538	183	20	gradient	gradient	NOUN
ejpam-4538	183	21	method	method	NOUN
ejpam-4538	183	22	for	for	ADP
ejpam-4538	183	23	solving	solve	VERB
ejpam-4538	183	24	nonlinear	nonlinear	ADJ
ejpam-4538	183	25	unconstrained	unconstrained	ADJ
ejpam-4538	183	26	optimization	optimization	NOUN
ejpam-4538	183	27	problems	problem	NOUN
ejpam-4538	183	28	.	.	PUNCT
ejpam-4538	184	1	european	european	ADJ
ejpam-4538	184	2	journal	journal	PROPN
ejpam-4538	184	3	of	of	ADP
ejpam-4538	184	4	basic	basic	ADJ
ejpam-4538	184	5	and	and	CCONJ
ejpam-4538	184	6	applied	applied	ADJ
ejpam-4538	184	7	sciences	science	NOUN
ejpam-4538	184	8	,	,	PUNCT
ejpam-4538	184	9	6(2):17–23	6(2):17–23	NUM
ejpam-4538	184	10	,	,	PUNCT
ejpam-4538	184	11	2019	2019	NUM
ejpam-4538	184	12	.	.	PUNCT
ejpam-4538	185	1	[	[	X
ejpam-4538	185	2	17	17	NUM
ejpam-4538	185	3	]	]	SYM
ejpam-4538	185	4	s	s	PART
ejpam-4538	185	5	s	s	X
ejpam-4538	185	6	oren	oren	NOUN
ejpam-4538	185	7	and	and	CCONJ
ejpam-4538	185	8	d	d	NOUN
ejpam-4538	185	9	g	g	NOUN
ejpam-4538	185	10	luenberger	luenberger	NOUN
ejpam-4538	185	11	.	.	PUNCT
ejpam-4538	186	1	self	self	NOUN
ejpam-4538	186	2	-	-	PUNCT
ejpam-4538	186	3	scaling	scale	VERB
ejpam-4538	186	4	variable	variable	ADJ
ejpam-4538	186	5	metric	metric	ADJ
ejpam-4538	186	6	(	(	PUNCT
ejpam-4538	186	7	ssvm	ssvm	NOUN
ejpam-4538	186	8	)	)	PUNCT
ejpam-4538	186	9	algorithms	algorithm	NOUN
ejpam-4538	186	10	:	:	PUNCT
ejpam-4538	186	11	part	part	NOUN
ejpam-4538	186	12	i	i	PRON
ejpam-4538	186	13	:	:	PUNCT
ejpam-4538	186	14	criteria	criterion	NOUN
ejpam-4538	186	15	and	and	CCONJ
ejpam-4538	186	16	sufficient	sufficient	ADJ
ejpam-4538	186	17	conditions	condition	NOUN
ejpam-4538	186	18	for	for	ADP
ejpam-4538	186	19	scaling	scale	VERB
ejpam-4538	186	20	a	a	DET
ejpam-4538	186	21	class	class	NOUN
ejpam-4538	186	22	of	of	ADP
ejpam-4538	186	23	algorithms	algorithm	NOUN
ejpam-4538	186	24	.	.	PUNCT
ejpam-4538	187	1	management	management	NOUN
ejpam-4538	187	2	science	science	NOUN
ejpam-4538	187	3	,	,	PUNCT
ejpam-4538	187	4	20(5):845–862	20(5):845–862	NUM
ejpam-4538	187	5	,	,	PUNCT
ejpam-4538	187	6	1974	1974	NUM
ejpam-4538	187	7	.	.	PUNCT
ejpam-4538	188	1	[	[	X
ejpam-4538	188	2	18	18	NUM
ejpam-4538	188	3	]	]	X
ejpam-4538	188	4	e	e	NOUN
ejpam-4538	188	5	polak	polak	NOUN
ejpam-4538	188	6	and	and	CCONJ
ejpam-4538	188	7	g	g	PROPN
ejpam-4538	188	8	ribiere	ribiere	NOUN
ejpam-4538	188	9	.	.	PUNCT
ejpam-4538	189	1	note	note	VERB
ejpam-4538	189	2	sur	sur	PROPN
ejpam-4538	189	3	la	la	X
ejpam-4538	189	4	convergence	convergence	NOUN
ejpam-4538	189	5	de	de	X
ejpam-4538	189	6	méthodes	méthodes	X
ejpam-4538	189	7	de	de	PROPN
ejpam-4538	189	8	directions	direction	NOUN
ejpam-4538	189	9	conjuguées	conjuguées	PROPN
ejpam-4538	189	10	.	.	PUNCT
ejpam-4538	190	1	revue	revue	PROPN
ejpam-4538	190	2	française	française	PROPN
ejpam-4538	190	3	d’informatique	d’informatique	NOUN
ejpam-4538	190	4	et	et	X
ejpam-4538	190	5	de	de	X
ejpam-4538	190	6	recherche	recherche	X
ejpam-4538	190	7	opérationnelle	opérationnelle	PROPN
ejpam-4538	190	8	.	.	PUNCT
ejpam-4538	191	1	série	série	PROPN
ejpam-4538	191	2	rouge	rouge	PROPN
ejpam-4538	191	3	,	,	PUNCT
ejpam-4538	191	4	3(16):35	3(16):35	NUM
ejpam-4538	191	5	–	–	PUNCT
ejpam-4538	191	6	43	43	NUM
ejpam-4538	191	7	,	,	PUNCT
ejpam-4538	191	8	1969	1969	NUM
ejpam-4538	191	9	.	.	PUNCT
ejpam-4538	192	1	[	[	X
ejpam-4538	192	2	19	19	NUM
ejpam-4538	192	3	]	]	SYM
ejpam-4538	192	4	b	b	PROPN
ejpam-4538	192	5	t	t	PROPN
ejpam-4538	192	6	polyak	polyak	NOUN
ejpam-4538	192	7	.	.	PUNCT
ejpam-4538	193	1	the	the	DET
ejpam-4538	193	2	conjugate	conjugate	ADJ
ejpam-4538	193	3	gradient	gradient	NOUN
ejpam-4538	193	4	method	method	NOUN
ejpam-4538	193	5	in	in	ADP
ejpam-4538	193	6	extremal	extremal	ADJ
ejpam-4538	193	7	problems	problem	NOUN
ejpam-4538	193	8	.	.	PUNCT
ejpam-4538	194	1	ussr	ussr	ADJ
ejpam-4538	194	2	computational	computational	ADJ
ejpam-4538	194	3	mathematics	mathematic	NOUN
ejpam-4538	194	4	and	and	CCONJ
ejpam-4538	194	5	mathematical	mathematical	ADJ
ejpam-4538	194	6	physics	physics	NOUN
ejpam-4538	194	7	,	,	PUNCT
ejpam-4538	194	8	9(4):94–112	9(4):94–112	NUM
ejpam-4538	194	9	,	,	PUNCT
ejpam-4538	194	10	1969	1969	NUM
ejpam-4538	194	11	.	.	PUNCT
ejpam-4538	195	1	[	[	X
ejpam-4538	195	2	20	20	NUM
ejpam-4538	195	3	]	]	SYM
ejpam-4538	195	4	h	h	NOUN
ejpam-4538	195	5	yabe	yabe	NOUN
ejpam-4538	195	6	and	and	CCONJ
ejpam-4538	195	7	m	m	PROPN
ejpam-4538	195	8	takano	takano	PROPN
ejpam-4538	195	9	.	.	PUNCT
ejpam-4538	196	1	global	global	ADJ
ejpam-4538	196	2	convergence	convergence	NOUN
ejpam-4538	196	3	properties	property	NOUN
ejpam-4538	196	4	of	of	ADP
ejpam-4538	196	5	new	new	ADJ
ejpam-4538	196	6	nonlinear	nonlinear	ADJ
ejpam-4538	196	7	conjugate	conjugate	ADJ
ejpam-4538	196	8	gradient	gradient	NOUN
ejpam-4538	196	9	methods	method	NOUN
ejpam-4538	196	10	for	for	ADP
ejpam-4538	196	11	unconstrained	unconstrained	ADJ
ejpam-4538	196	12	optimization	optimization	NOUN
ejpam-4538	196	13	.	.	PUNCT
ejpam-4538	197	1	computational	computational	ADJ
ejpam-4538	197	2	optimization	optimization	NOUN
ejpam-4538	197	3	and	and	CCONJ
ejpam-4538	197	4	application	application	NOUN
ejpam-4538	197	5	,	,	PUNCT
ejpam-4538	197	6	28:203–225	28:203–225	PROPN
ejpam-4538	197	7	,	,	PUNCT
ejpam-4538	197	8	2004	2004	NUM
ejpam-4538	197	9	.	.	PUNCT
ejpam-4538	198	1	[	[	X
ejpam-4538	198	2	21	21	NUM
ejpam-4538	198	3	]	]	X
ejpam-4538	198	4	salleh	salleh	PROPN
ejpam-4538	198	5	zabidin	zabidin	PROPN
ejpam-4538	198	6	,	,	PUNCT
ejpam-4538	198	7	alhamzi	alhamzi	PROPN
ejpam-4538	198	8	ghaliah	ghaliah	PROPN
ejpam-4538	198	9	,	,	PUNCT
ejpam-4538	198	10	masmali	masmali	PROPN
ejpam-4538	198	11	ibitsam	ibitsam	PROPN
ejpam-4538	198	12	,	,	PUNCT
ejpam-4538	198	13	and	and	CCONJ
ejpam-4538	198	14	alhawarat	alhawarat	PROPN
ejpam-4538	198	15	ahmad	ahmad	PROPN
ejpam-4538	198	16	.	.	PUNCT
ejpam-4538	199	1	a	a	DET
ejpam-4538	199	2	modified	modified	ADJ
ejpam-4538	199	3	liu	liu	PROPN
ejpam-4538	199	4	and	and	CCONJ
ejpam-4538	199	5	storey	storey	PROPN
ejpam-4538	199	6	conjugate	conjugate	VERB
ejpam-4538	199	7	gradient	gradient	NOUN
ejpam-4538	199	8	method	method	NOUN
ejpam-4538	199	9	for	for	ADP
ejpam-4538	199	10	large	large	ADJ
ejpam-4538	199	11	scale	scale	NOUN
ejpam-4538	199	12	unconstrained	unconstrained	ADJ
ejpam-4538	199	13	optimization	optimization	NOUN
ejpam-4538	199	14	problems	problem	NOUN
ejpam-4538	199	15	.	.	PUNCT
ejpam-4538	200	1	algorithms	algorithm	NOUN
ejpam-4538	200	2	,	,	PUNCT
ejpam-4538	200	3	14(8):227	14(8):227	NUM
ejpam-4538	200	4	,	,	PUNCT
ejpam-4538	200	5	2021	2021	NUM
ejpam-4538	200	6	.	.	PUNCT
ejpam-4538	201	1	[	[	X
ejpam-4538	201	2	22	22	NUM
ejpam-4538	201	3	]	]	X
ejpam-4538	201	4	yutao	yutao	PROPN
ejpam-4538	201	5	zheng	zheng	PROPN
ejpam-4538	201	6	.	.	PUNCT
ejpam-4538	202	1	a	a	DET
ejpam-4538	202	2	new	new	ADJ
ejpam-4538	202	3	family	family	NOUN
ejpam-4538	202	4	of	of	ADP
ejpam-4538	202	5	dai	dai	PROPN
ejpam-4538	202	6	-	-	PUNCT
ejpam-4538	202	7	liao	liao	PROPN
ejpam-4538	202	8	conjugate	conjugate	PROPN
ejpam-4538	202	9	gradient	gradient	ADJ
ejpam-4538	202	10	methods	method	NOUN
ejpam-4538	202	11	with	with	ADP
ejpam-4538	202	12	modified	modified	ADJ
ejpam-4538	202	13	secant	secant	ADJ
ejpam-4538	202	14	equation	equation	NOUN
ejpam-4538	202	15	for	for	ADP
ejpam-4538	202	16	unconstrained	unconstrained	ADJ
ejpam-4538	202	17	optimization	optimization	NOUN
ejpam-4538	202	18	.	.	PUNCT
ejpam-4538	203	1	rairo	rairo	NOUN
ejpam-4538	203	2	-	-	PUNCT
ejpam-4538	203	3	operations	operation	NOUN
ejpam-4538	203	4	research	research	NOUN
ejpam-4538	203	5	,	,	PUNCT
ejpam-4538	203	6	55(6):3281–3291	55(6):3281–3291	PROPN
ejpam-4538	203	7	,	,	PUNCT
ejpam-4538	203	8	2021	2021	NUM
ejpam-4538	203	9	.	.	PUNCT
ejpam-4538	204	1	[	[	X
ejpam-4538	204	2	23	23	NUM
ejpam-4538	204	3	]	]	X
ejpam-4538	204	4	g	g	PROPN
ejpam-4538	204	5	zoutendijk	zoutendijk	PROPN
ejpam-4538	204	6	.	.	PUNCT
ejpam-4538	205	1	nonlinear	nonlinear	ADJ
ejpam-4538	205	2	programming	programming	NOUN
ejpam-4538	205	3	,	,	PUNCT
ejpam-4538	205	4	computational	computational	ADJ
ejpam-4538	205	5	methods	method	NOUN
ejpam-4538	205	6	.	.	PUNCT
ejpam-4538	206	1	integer	integer	NOUN
ejpam-4538	206	2	and	and	CCONJ
ejpam-4538	206	3	nonlinear	nonlinear	ADJ
ejpam-4538	206	4	programming	programming	NOUN
ejpam-4538	206	5	,	,	PUNCT
ejpam-4538	206	6	pages	page	NOUN
ejpam-4538	206	7	37–86	37–86	NUM
ejpam-4538	206	8	,	,	PUNCT
ejpam-4538	206	9	1970	1970	NUM
ejpam-4538	206	10	.	.	PUNCT