id	sid	tid	token	lemma	pos
ejpam-6145	1	1	european	european	PROPN
ejpam-6145	1	2	journal	journal	PROPN
ejpam-6145	1	3	of	of	ADP
ejpam-6145	1	4	pure	pure	ADJ
ejpam-6145	1	5	and	and	CCONJ
ejpam-6145	1	6	applied	applied	ADJ
ejpam-6145	1	7	mathematics	mathematic	NOUN
ejpam-6145	1	8	2025	2025	NUM
ejpam-6145	1	9	,	,	PUNCT
ejpam-6145	1	10	vol	vol	NOUN
ejpam-6145	1	11	.	.	PROPN
ejpam-6145	1	12	18	18	NUM
ejpam-6145	1	13	,	,	PUNCT
ejpam-6145	1	14	issue	issue	NOUN
ejpam-6145	1	15	3	3	NUM
ejpam-6145	1	16	,	,	PUNCT
ejpam-6145	1	17	article	article	NOUN
ejpam-6145	1	18	number	number	NOUN
ejpam-6145	1	19	6145	6145	NUM
ejpam-6145	1	20	issn	issn	PROPN
ejpam-6145	1	21	1307	1307	NUM
ejpam-6145	1	22	-	-	SYM
ejpam-6145	1	23	5543	5543	NUM
ejpam-6145	1	24	–	–	PUNCT
ejpam-6145	1	25	ejpam.com	ejpam.com	X
ejpam-6145	1	26	published	publish	VERB
ejpam-6145	1	27	by	by	ADP
ejpam-6145	1	28	new	new	PROPN
ejpam-6145	1	29	york	york	PROPN
ejpam-6145	1	30	business	business	PROPN
ejpam-6145	1	31	global	global	PROPN
ejpam-6145	1	32	modifying	modify	VERB
ejpam-6145	1	33	spectral	spectral	ADJ
ejpam-6145	1	34	conjugate	conjugate	ADJ
ejpam-6145	1	35	gradient	gradient	NOUN
ejpam-6145	1	36	method	method	NOUN
ejpam-6145	1	37	for	for	ADP
ejpam-6145	1	38	solving	solve	VERB
ejpam-6145	1	39	unconstrained	unconstrained	ADJ
ejpam-6145	1	40	optimization	optimization	NOUN
ejpam-6145	1	41	problems	problem	NOUN
ejpam-6145	1	42	kamal	kamal	PROPN
ejpam-6145	1	43	jameel	jameel	PROPN
ejpam-6145	1	44	murad1,∗	murad1,∗	PROPN
ejpam-6145	1	45	,	,	PUNCT
ejpam-6145	1	46	salah	salah	PROPN
ejpam-6145	1	47	gazi	gazi	PROPN
ejpam-6145	1	48	shareef1	shareef1	PROPN
ejpam-6145	2	1	1	1	NUM
ejpam-6145	2	2	department	department	NOUN
ejpam-6145	2	3	of	of	ADP
ejpam-6145	2	4	mathematics	mathematic	NOUN
ejpam-6145	2	5	,	,	PUNCT
ejpam-6145	2	6	college	college	NOUN
ejpam-6145	2	7	of	of	ADP
ejpam-6145	2	8	science	science	NOUN
ejpam-6145	2	9	,	,	PUNCT
ejpam-6145	2	10	university	university	NOUN
ejpam-6145	2	11	of	of	ADP
ejpam-6145	2	12	zakho	zakho	PROPN
ejpam-6145	2	13	,	,	PUNCT
ejpam-6145	2	14	kurdistan	kurdistan	ADJ
ejpam-6145	2	15	region	region	NOUN
ejpam-6145	2	16	,	,	PUNCT
ejpam-6145	2	17	iraq	iraq	PROPN
ejpam-6145	2	18	abstract	abstract	NOUN
ejpam-6145	2	19	.	.	PUNCT
ejpam-6145	3	1	this	this	DET
ejpam-6145	3	2	paper	paper	NOUN
ejpam-6145	3	3	proposes	propose	VERB
ejpam-6145	3	4	a	a	DET
ejpam-6145	3	5	new	new	ADJ
ejpam-6145	3	6	spectral	spectral	ADJ
ejpam-6145	3	7	conjugate	conjugate	ADJ
ejpam-6145	3	8	gradient	gradient	NOUN
ejpam-6145	3	9	method	method	NOUN
ejpam-6145	3	10	for	for	ADP
ejpam-6145	3	11	large	large	ADJ
ejpam-6145	3	12	-	-	PUNCT
ejpam-6145	3	13	scale	scale	NOUN
ejpam-6145	3	14	unconstrained	unconstrained	ADJ
ejpam-6145	3	15	optimization	optimization	NOUN
ejpam-6145	3	16	,	,	PUNCT
ejpam-6145	3	17	designed	design	VERB
ejpam-6145	3	18	to	to	PART
ejpam-6145	3	19	improve	improve	VERB
ejpam-6145	3	20	convergence	convergence	NOUN
ejpam-6145	3	21	efficiency	efficiency	NOUN
ejpam-6145	3	22	by	by	ADP
ejpam-6145	3	23	reducing	reduce	VERB
ejpam-6145	3	24	both	both	PRON
ejpam-6145	3	25	iteration	iteration	NOUN
ejpam-6145	3	26	counts	count	NOUN
ejpam-6145	3	27	and	and	CCONJ
ejpam-6145	3	28	function	function	NOUN
ejpam-6145	3	29	evaluations	evaluation	NOUN
ejpam-6145	3	30	.	.	PUNCT
ejpam-6145	4	1	the	the	DET
ejpam-6145	4	2	method	method	NOUN
ejpam-6145	4	3	introduces	introduce	VERB
ejpam-6145	4	4	a	a	DET
ejpam-6145	4	5	modified	modified	ADJ
ejpam-6145	4	6	spectral	spectral	ADJ
ejpam-6145	4	7	coefficient	coefficient	NOUN
ejpam-6145	4	8	and	and	CCONJ
ejpam-6145	4	9	a	a	DET
ejpam-6145	4	10	new	new	ADJ
ejpam-6145	4	11	search	search	NOUN
ejpam-6145	4	12	direction	direction	NOUN
ejpam-6145	4	13	formula	formula	NOUN
ejpam-6145	4	14	that	that	PRON
ejpam-6145	4	15	guarantees	guarantee	VERB
ejpam-6145	4	16	descent	descent	NOUN
ejpam-6145	4	17	and	and	CCONJ
ejpam-6145	4	18	sufficient	sufficient	ADJ
ejpam-6145	4	19	descent	descent	NOUN
ejpam-6145	4	20	conditions	condition	NOUN
ejpam-6145	4	21	at	at	ADP
ejpam-6145	4	22	every	every	DET
ejpam-6145	4	23	iteration	iteration	NOUN
ejpam-6145	4	24	,	,	PUNCT
ejpam-6145	4	25	without	without	ADP
ejpam-6145	4	26	increasing	increase	VERB
ejpam-6145	4	27	the	the	DET
ejpam-6145	4	28	per	per	ADP
ejpam-6145	4	29	-	-	PUNCT
ejpam-6145	4	30	iteration	iteration	NOUN
ejpam-6145	4	31	computational	computational	ADJ
ejpam-6145	4	32	burden	burden	NOUN
ejpam-6145	4	33	.	.	PUNCT
ejpam-6145	5	1	unlike	unlike	ADP
ejpam-6145	5	2	existing	exist	VERB
ejpam-6145	5	3	methods	method	NOUN
ejpam-6145	5	4	such	such	ADJ
ejpam-6145	5	5	as	as	ADP
ejpam-6145	5	6	the	the	DET
ejpam-6145	5	7	classical	classical	ADJ
ejpam-6145	5	8	conjugate	conjugate	ADJ
ejpam-6145	5	9	gradient	gradient	ADJ
ejpam-6145	5	10	algorithm	algorithm	NOUN
ejpam-6145	5	11	,	,	PUNCT
ejpam-6145	5	12	the	the	DET
ejpam-6145	5	13	proposed	propose	VERB
ejpam-6145	5	14	scheme	scheme	NOUN
ejpam-6145	5	15	integrates	integrate	NOUN
ejpam-6145	5	16	spectral	spectral	ADJ
ejpam-6145	5	17	scaling	scaling	NOUN
ejpam-6145	5	18	in	in	ADP
ejpam-6145	5	19	a	a	DET
ejpam-6145	5	20	way	way	NOUN
ejpam-6145	5	21	that	that	PRON
ejpam-6145	5	22	enhances	enhance	VERB
ejpam-6145	5	23	direction	direction	NOUN
ejpam-6145	5	24	quality	quality	NOUN
ejpam-6145	5	25	and	and	CCONJ
ejpam-6145	5	26	step	step	NOUN
ejpam-6145	5	27	stability	stability	NOUN
ejpam-6145	5	28	.	.	PUNCT
ejpam-6145	6	1	theoretical	theoretical	ADJ
ejpam-6145	6	2	analysis	analysis	NOUN
ejpam-6145	6	3	establishes	establish	VERB
ejpam-6145	6	4	global	global	ADJ
ejpam-6145	6	5	convergence	convergence	NOUN
ejpam-6145	6	6	under	under	ADP
ejpam-6145	6	7	standard	standard	ADJ
ejpam-6145	6	8	assumptions	assumption	NOUN
ejpam-6145	6	9	.	.	PUNCT
ejpam-6145	7	1	extensive	extensive	ADJ
ejpam-6145	7	2	numerical	numerical	ADJ
ejpam-6145	7	3	experiments	experiment	NOUN
ejpam-6145	7	4	on	on	ADP
ejpam-6145	7	5	a	a	DET
ejpam-6145	7	6	diverse	diverse	ADJ
ejpam-6145	7	7	set	set	NOUN
ejpam-6145	7	8	of	of	ADP
ejpam-6145	7	9	test	test	NOUN
ejpam-6145	7	10	problems	problem	NOUN
ejpam-6145	7	11	demonstrate	demonstrate	VERB
ejpam-6145	7	12	the	the	DET
ejpam-6145	7	13	superior	superior	ADJ
ejpam-6145	7	14	performance	performance	NOUN
ejpam-6145	7	15	of	of	ADP
ejpam-6145	7	16	the	the	DET
ejpam-6145	7	17	proposed	propose	VERB
ejpam-6145	7	18	method	method	NOUN
ejpam-6145	7	19	over	over	ADP
ejpam-6145	7	20	the	the	DET
ejpam-6145	7	21	classical	classical	ADJ
ejpam-6145	7	22	conjugate	conjugate	ADJ
ejpam-6145	7	23	gradient	gradient	NOUN
ejpam-6145	7	24	and	and	CCONJ
ejpam-6145	7	25	spectral	spectral	ADJ
ejpam-6145	7	26	conjugate	conjugate	ADJ
ejpam-6145	7	27	gradient	gradient	ADJ
ejpam-6145	7	28	methods	method	NOUN
ejpam-6145	7	29	,	,	PUNCT
ejpam-6145	7	30	particularly	particularly	ADV
ejpam-6145	7	31	in	in	ADP
ejpam-6145	7	32	scenarios	scenario	NOUN
ejpam-6145	7	33	where	where	SCONJ
ejpam-6145	7	34	fast	fast	ADJ
ejpam-6145	7	35	convergence	convergence	NOUN
ejpam-6145	7	36	and	and	CCONJ
ejpam-6145	7	37	low	low	ADJ
ejpam-6145	7	38	evaluation	evaluation	NOUN
ejpam-6145	7	39	cost	cost	NOUN
ejpam-6145	7	40	are	be	AUX
ejpam-6145	7	41	critical	critical	ADJ
ejpam-6145	7	42	.	.	PUNCT
ejpam-6145	8	1	these	these	DET
ejpam-6145	8	2	results	result	NOUN
ejpam-6145	8	3	suggest	suggest	VERB
ejpam-6145	8	4	that	that	SCONJ
ejpam-6145	8	5	the	the	DET
ejpam-6145	8	6	proposed	propose	VERB
ejpam-6145	8	7	method	method	NOUN
ejpam-6145	8	8	offers	offer	VERB
ejpam-6145	8	9	a	a	DET
ejpam-6145	8	10	robust	robust	ADJ
ejpam-6145	8	11	and	and	CCONJ
ejpam-6145	8	12	computationally	computationally	ADV
ejpam-6145	8	13	efficient	efficient	ADJ
ejpam-6145	8	14	alternative	alternative	NOUN
ejpam-6145	8	15	for	for	ADP
ejpam-6145	8	16	solving	solve	VERB
ejpam-6145	8	17	unconstrained	unconstrained	ADJ
ejpam-6145	8	18	optimization	optimization	NOUN
ejpam-6145	8	19	problems	problem	NOUN
ejpam-6145	8	20	.	.	PUNCT
ejpam-6145	9	1	future	future	ADJ
ejpam-6145	9	2	work	work	NOUN
ejpam-6145	9	3	will	will	AUX
ejpam-6145	9	4	explore	explore	VERB
ejpam-6145	9	5	its	its	PRON
ejpam-6145	9	6	application	application	NOUN
ejpam-6145	9	7	to	to	ADP
ejpam-6145	9	8	structured	structured	ADJ
ejpam-6145	9	9	and	and	CCONJ
ejpam-6145	9	10	real	real	ADJ
ejpam-6145	9	11	-	-	PUNCT
ejpam-6145	9	12	world	world	NOUN
ejpam-6145	9	13	large	large	ADJ
ejpam-6145	9	14	-	-	PUNCT
ejpam-6145	9	15	scale	scale	NOUN
ejpam-6145	9	16	problems	problem	NOUN
ejpam-6145	9	17	.	.	PUNCT
ejpam-6145	10	1	2020	2020	NUM
ejpam-6145	10	2	mathematics	mathematic	NOUN
ejpam-6145	10	3	subject	subject	NOUN
ejpam-6145	10	4	classifications	classification	NOUN
ejpam-6145	10	5	:	:	PUNCT
ejpam-6145	10	6	65k05	65k05	NUM
ejpam-6145	10	7	,	,	PUNCT
ejpam-6145	10	8	46n10	46n10	NUM
ejpam-6145	10	9	,	,	PUNCT
ejpam-6145	10	10	90c26	90c26	NUM
ejpam-6145	10	11	,	,	PUNCT
ejpam-6145	10	12	90c30	90c30	NUM
ejpam-6145	10	13	key	key	ADJ
ejpam-6145	10	14	words	word	NOUN
ejpam-6145	10	15	and	and	CCONJ
ejpam-6145	10	16	phrases	phrase	NOUN
ejpam-6145	10	17	:	:	PUNCT
ejpam-6145	10	18	unconstrained	unconstrained	ADJ
ejpam-6145	10	19	optimization	optimization	NOUN
ejpam-6145	10	20	,	,	PUNCT
ejpam-6145	10	21	spectral	spectral	ADJ
ejpam-6145	10	22	conjugate	conjugate	ADJ
ejpam-6145	10	23	gradient	gradient	NOUN
ejpam-6145	10	24	,	,	PUNCT
ejpam-6145	10	25	global	global	ADJ
ejpam-6145	10	26	convergence	convergence	NOUN
ejpam-6145	10	27	,	,	PUNCT
ejpam-6145	10	28	descent	descent	NOUN
ejpam-6145	10	29	conditions	condition	NOUN
ejpam-6145	10	30	1	1	NUM
ejpam-6145	10	31	.	.	PUNCT
ejpam-6145	10	32	introduction	introduction	NOUN
ejpam-6145	10	33	this	this	DET
ejpam-6145	10	34	paper	paper	NOUN
ejpam-6145	10	35	addresses	address	VERB
ejpam-6145	10	36	the	the	DET
ejpam-6145	10	37	unconstrained	unconstrained	ADJ
ejpam-6145	10	38	optimization	optimization	NOUN
ejpam-6145	10	39	problem	problem	NOUN
ejpam-6145	10	40	:	:	PUNCT
ejpam-6145	10	41	min{f(x	min{f(x	NOUN
ejpam-6145	10	42	)	)	PUNCT
ejpam-6145	10	43	:	:	PUNCT
ejpam-6145	11	1	x	x	X
ejpam-6145	11	2	∈	∈	PROPN
ejpam-6145	11	3	rn	rn	PROPN
ejpam-6145	11	4	}	}	PUNCT
ejpam-6145	11	5	,	,	PUNCT
ejpam-6145	11	6	(	(	PUNCT
ejpam-6145	11	7	1	1	X
ejpam-6145	11	8	)	)	PUNCT
ejpam-6145	11	9	where	where	SCONJ
ejpam-6145	11	10	the	the	DET
ejpam-6145	11	11	objective	objective	ADJ
ejpam-6145	11	12	function	function	NOUN
ejpam-6145	11	13	f	f	PROPN
ejpam-6145	11	14	:	:	PUNCT
ejpam-6145	11	15	rn	rn	PROPN
ejpam-6145	11	16	→	→	SYM
ejpam-6145	11	17	r	r	NOUN
ejpam-6145	11	18	has	have	VERB
ejpam-6145	11	19	continuous	continuous	ADJ
ejpam-6145	11	20	partial	partial	ADJ
ejpam-6145	11	21	derivatives	derivative	NOUN
ejpam-6145	11	22	,	,	PUNCT
ejpam-6145	11	23	and	and	CCONJ
ejpam-6145	11	24	its	its	PRON
ejpam-6145	11	25	gradient	gradient	NOUN
ejpam-6145	11	26	∇f(x	∇f(x	PROPN
ejpam-6145	11	27	)	)	PUNCT
ejpam-6145	11	28	=	=	SYM
ejpam-6145	11	29	g(x	g(x	NOUN
ejpam-6145	11	30	)	)	PUNCT
ejpam-6145	11	31	is	be	AUX
ejpam-6145	11	32	available	available	ADJ
ejpam-6145	11	33	for	for	ADP
ejpam-6145	11	34	evaluation	evaluation	NOUN
ejpam-6145	11	35	.	.	PUNCT
ejpam-6145	12	1	unconstrained	unconstrained	ADJ
ejpam-6145	12	2	optimization	optimization	NOUN
ejpam-6145	12	3	plays	play	VERB
ejpam-6145	12	4	a	a	DET
ejpam-6145	12	5	crucial	crucial	ADJ
ejpam-6145	12	6	role	role	NOUN
ejpam-6145	12	7	in	in	ADP
ejpam-6145	12	8	a	a	DET
ejpam-6145	12	9	wide	wide	ADJ
ejpam-6145	12	10	array	array	NOUN
ejpam-6145	12	11	of	of	ADP
ejpam-6145	12	12	applications	application	NOUN
ejpam-6145	12	13	,	,	PUNCT
ejpam-6145	12	14	including	include	VERB
ejpam-6145	12	15	machine	machine	NOUN
ejpam-6145	12	16	learning	learn	VERB
ejpam-6145	12	17	[	[	X
ejpam-6145	12	18	1–3	1–3	NOUN
ejpam-6145	12	19	]	]	X
ejpam-6145	12	20	,	,	PUNCT
ejpam-6145	12	21	image	image	NOUN
ejpam-6145	12	22	processing	processing	NOUN
ejpam-6145	12	23	[	[	X
ejpam-6145	12	24	4	4	NUM
ejpam-6145	12	25	–	–	PUNCT
ejpam-6145	12	26	6	6	NUM
ejpam-6145	12	27	]	]	PUNCT
ejpam-6145	12	28	,	,	PUNCT
ejpam-6145	12	29	and	and	CCONJ
ejpam-6145	12	30	portfolio	portfolio	NOUN
ejpam-6145	12	31	optimization	optimization	NOUN
ejpam-6145	12	32	,	,	PUNCT
ejpam-6145	12	33	as	as	ADV
ejpam-6145	12	34	well	well	ADV
ejpam-6145	12	35	as	as	ADP
ejpam-6145	12	36	in	in	ADP
ejpam-6145	12	37	fields	field	NOUN
ejpam-6145	12	38	such	such	ADJ
ejpam-6145	12	39	as	as	ADP
ejpam-6145	12	40	economics	economic	NOUN
ejpam-6145	12	41	,	,	PUNCT
ejpam-6145	12	42	engineering	engineering	NOUN
ejpam-6145	12	43	,	,	PUNCT
ejpam-6145	12	44	management	management	NOUN
ejpam-6145	12	45	science	science	NOUN
ejpam-6145	12	46	,	,	PUNCT
ejpam-6145	12	47	and	and	CCONJ
ejpam-6145	12	48	industrial	industrial	ADJ
ejpam-6145	12	49	applications	application	NOUN
ejpam-6145	13	1	[	[	X
ejpam-6145	13	2	7–11	7–11	NOUN
ejpam-6145	13	3	]	]	PUNCT
ejpam-6145	13	4	.	.	PUNCT
ejpam-6145	14	1	various	various	ADJ
ejpam-6145	14	2	methods	method	NOUN
ejpam-6145	14	3	have	have	AUX
ejpam-6145	14	4	been	be	AUX
ejpam-6145	14	5	proposed	propose	VERB
ejpam-6145	14	6	for	for	ADP
ejpam-6145	14	7	∗corresponding	∗corresponde	VERB
ejpam-6145	14	8	author	author	NOUN
ejpam-6145	14	9	.	.	PUNCT
ejpam-6145	15	1	doi	doi	NOUN
ejpam-6145	15	2	:	:	PUNCT
ejpam-6145	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6145	https://doi.org/10.29020/nybg.ejpam.v18i3.6145	NUM
ejpam-6145	15	4	email	email	NOUN
ejpam-6145	15	5	addresses	address	NOUN
ejpam-6145	15	6	:	:	PUNCT
ejpam-6145	15	7	kamal.murad@uoz.edu.krd	kamal.murad@uoz.edu.krd	PROPN
ejpam-6145	15	8	(	(	PUNCT
ejpam-6145	15	9	k.	k.	PROPN
ejpam-6145	15	10	j.	j.	PROPN
ejpam-6145	15	11	murad	murad	PROPN
ejpam-6145	15	12	)	)	PUNCT
ejpam-6145	15	13	,	,	PUNCT
ejpam-6145	15	14	salah.shareef@uoz.edu.krd	salah.shareef@uoz.edu.krd	PROPN
ejpam-6145	15	15	(	(	PUNCT
ejpam-6145	15	16	s.	s.	PROPN
ejpam-6145	15	17	g.	g.	PROPN
ejpam-6145	15	18	shareef	shareef	PROPN
ejpam-6145	15	19	)	)	PUNCT
ejpam-6145	15	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6145	16	1	1	1	NUM
ejpam-6145	16	2	copyright	copyright	NOUN
ejpam-6145	16	3	:	:	PUNCT
ejpam-6145	16	4	©	©	PROPN
ejpam-6145	16	5	2025	2025	NUM
ejpam-6145	16	6	the	the	DET
ejpam-6145	16	7	author(s	author(s	NOUN
ejpam-6145	16	8	)	)	PUNCT
ejpam-6145	16	9	.	.	PUNCT
ejpam-6145	17	1	(	(	PUNCT
ejpam-6145	17	2	cc	cc	NOUN
ejpam-6145	17	3	by	by	ADP
ejpam-6145	17	4	-	-	PUNCT
ejpam-6145	17	5	nc	nc	PROPN
ejpam-6145	17	6	4.0	4.0	NUM
ejpam-6145	17	7	)	)	PUNCT
ejpam-6145	17	8	k.	k.	PROPN
ejpam-6145	17	9	j.	j.	PROPN
ejpam-6145	17	10	murad	murad	PROPN
ejpam-6145	17	11	,	,	PUNCT
ejpam-6145	17	12	s.	s.	PROPN
ejpam-6145	17	13	g.	g.	PROPN
ejpam-6145	17	14	shareef	shareef	PROPN
ejpam-6145	17	15	/	/	PUNCT
ejpam-6145	17	16	eur	eur	PROPN
ejpam-6145	17	17	.	.	PUNCT
ejpam-6145	18	1	j.	j.	PROPN
ejpam-6145	18	2	pure	pure	PROPN
ejpam-6145	18	3	appl	appl	PROPN
ejpam-6145	18	4	.	.	PROPN
ejpam-6145	18	5	math	math	PROPN
ejpam-6145	18	6	,	,	PUNCT
ejpam-6145	18	7	18	18	NUM
ejpam-6145	18	8	(	(	PUNCT
ejpam-6145	18	9	3	3	NUM
ejpam-6145	18	10	)	)	PUNCT
ejpam-6145	18	11	(	(	PUNCT
ejpam-6145	18	12	2025	2025	NUM
ejpam-6145	18	13	)	)	PUNCT
ejpam-6145	18	14	,	,	PUNCT
ejpam-6145	18	15	6145	6145	NUM
ejpam-6145	18	16	2	2	NUM
ejpam-6145	18	17	of	of	ADP
ejpam-6145	18	18	17	17	NUM
ejpam-6145	18	19	solving	solving	NOUN
ejpam-6145	18	20	problem	problem	NOUN
ejpam-6145	18	21	(	(	PUNCT
ejpam-6145	18	22	1	1	NUM
ejpam-6145	18	23	)	)	PUNCT
ejpam-6145	18	24	,	,	PUNCT
ejpam-6145	18	25	including	include	VERB
ejpam-6145	18	26	newton	newton	NOUN
ejpam-6145	18	27	-	-	PUNCT
ejpam-6145	18	28	type	type	NOUN
ejpam-6145	18	29	methods	method	NOUN
ejpam-6145	18	30	,	,	PUNCT
ejpam-6145	18	31	quasi	quasi	ADJ
ejpam-6145	18	32	-	-	ADJ
ejpam-6145	18	33	newton	newton	PROPN
ejpam-6145	18	34	methods	method	NOUN
ejpam-6145	18	35	,	,	PUNCT
ejpam-6145	18	36	spectral	spectral	ADJ
ejpam-6145	18	37	gradient	gradient	NOUN
ejpam-6145	18	38	methods	method	NOUN
ejpam-6145	18	39	,	,	PUNCT
ejpam-6145	18	40	and	and	CCONJ
ejpam-6145	18	41	conjugate	conjugate	ADJ
ejpam-6145	18	42	gradient	gradient	NOUN
ejpam-6145	18	43	(	(	PUNCT
ejpam-6145	18	44	cg	cg	NOUN
ejpam-6145	18	45	)	)	PUNCT
ejpam-6145	18	46	methods	method	NOUN
ejpam-6145	18	47	[	[	X
ejpam-6145	18	48	12–14	12–14	NUM
ejpam-6145	18	49	]	]	X
ejpam-6145	18	50	.	.	PUNCT
ejpam-6145	19	1	in	in	ADP
ejpam-6145	19	2	addition	addition	NOUN
ejpam-6145	19	3	,	,	PUNCT
ejpam-6145	19	4	derivative	derivative	ADJ
ejpam-6145	19	5	-	-	PUNCT
ejpam-6145	19	6	free	free	ADJ
ejpam-6145	19	7	optimization	optimization	NOUN
ejpam-6145	19	8	techniques	technique	NOUN
ejpam-6145	19	9	such	such	ADJ
ejpam-6145	19	10	as	as	ADP
ejpam-6145	19	11	the	the	DET
ejpam-6145	19	12	nelder	nelder	ADJ
ejpam-6145	19	13	–	–	PUNCT
ejpam-6145	19	14	mead	mead	NOUN
ejpam-6145	19	15	simplex	simplex	NOUN
ejpam-6145	19	16	method	method	NOUN
ejpam-6145	19	17	,	,	PUNCT
ejpam-6145	19	18	generalized	generalize	VERB
ejpam-6145	19	19	simulated	simulated	ADJ
ejpam-6145	19	20	annealing	annealing	NOUN
ejpam-6145	19	21	,	,	PUNCT
ejpam-6145	19	22	and	and	CCONJ
ejpam-6145	19	23	genetic	genetic	ADJ
ejpam-6145	19	24	algorithms	algorithm	NOUN
ejpam-6145	19	25	are	be	AUX
ejpam-6145	19	26	also	also	ADV
ejpam-6145	19	27	used	use	VERB
ejpam-6145	19	28	[	[	PUNCT
ejpam-6145	19	29	15–17	15–17	NUM
ejpam-6145	19	30	]	]	PUNCT
ejpam-6145	19	31	.	.	PUNCT
ejpam-6145	20	1	this	this	DET
ejpam-6145	20	2	paper	paper	NOUN
ejpam-6145	20	3	specifically	specifically	ADV
ejpam-6145	20	4	focuses	focus	VERB
ejpam-6145	20	5	on	on	ADP
ejpam-6145	20	6	cg	cg	NOUN
ejpam-6145	20	7	methods	method	NOUN
ejpam-6145	20	8	and	and	CCONJ
ejpam-6145	20	9	introduces	introduce	VERB
ejpam-6145	20	10	a	a	DET
ejpam-6145	20	11	new	new	ADJ
ejpam-6145	20	12	spectral	spectral	ADJ
ejpam-6145	20	13	conjugate	conjugate	ADJ
ejpam-6145	20	14	gradient	gradient	NOUN
ejpam-6145	20	15	method	method	NOUN
ejpam-6145	20	16	designed	design	VERB
ejpam-6145	20	17	to	to	PART
ejpam-6145	20	18	efficiently	efficiently	ADV
ejpam-6145	20	19	tackle	tackle	VERB
ejpam-6145	20	20	large	large	ADJ
ejpam-6145	20	21	-	-	PUNCT
ejpam-6145	20	22	scale	scale	NOUN
ejpam-6145	20	23	instances	instance	NOUN
ejpam-6145	20	24	of	of	ADP
ejpam-6145	20	25	problem	problem	NOUN
ejpam-6145	20	26	(	(	PUNCT
ejpam-6145	20	27	1	1	NUM
ejpam-6145	20	28	)	)	PUNCT
ejpam-6145	20	29	.	.	PUNCT
ejpam-6145	21	1	recently	recently	ADV
ejpam-6145	21	2	,	,	PUNCT
ejpam-6145	21	3	geometric	geometric	ADJ
ejpam-6145	21	4	optimization	optimization	NOUN
ejpam-6145	21	5	approaches	approach	NOUN
ejpam-6145	21	6	have	have	AUX
ejpam-6145	21	7	garnered	garner	VERB
ejpam-6145	21	8	increasing	increase	VERB
ejpam-6145	21	9	interest	interest	NOUN
ejpam-6145	21	10	.	.	PUNCT
ejpam-6145	22	1	the	the	DET
ejpam-6145	22	2	application	application	NOUN
ejpam-6145	22	3	of	of	ADP
ejpam-6145	22	4	riemannian	riemannian	ADJ
ejpam-6145	22	5	geometry	geometry	NOUN
ejpam-6145	22	6	to	to	ADP
ejpam-6145	22	7	optimization	optimization	NOUN
ejpam-6145	22	8	problems	problem	NOUN
ejpam-6145	22	9	,	,	PUNCT
ejpam-6145	22	10	particularly	particularly	ADV
ejpam-6145	22	11	on	on	ADP
ejpam-6145	22	12	matrix	matrix	NOUN
ejpam-6145	22	13	manifolds	manifold	NOUN
ejpam-6145	22	14	,	,	PUNCT
ejpam-6145	22	15	has	have	AUX
ejpam-6145	22	16	led	lead	VERB
ejpam-6145	22	17	to	to	ADP
ejpam-6145	22	18	the	the	DET
ejpam-6145	22	19	development	development	NOUN
ejpam-6145	22	20	of	of	ADP
ejpam-6145	22	21	structure	structure	NOUN
ejpam-6145	22	22	-	-	PUNCT
ejpam-6145	22	23	preserving	preserve	VERB
ejpam-6145	22	24	methods	method	NOUN
ejpam-6145	22	25	.	.	PUNCT
ejpam-6145	23	1	for	for	ADP
ejpam-6145	23	2	example	example	NOUN
ejpam-6145	23	3	,	,	PUNCT
ejpam-6145	23	4	arif	arif	PROPN
ejpam-6145	23	5	et	et	PROPN
ejpam-6145	23	6	al	al	PROPN
ejpam-6145	23	7	.	.	PUNCT
ejpam-6145	24	1	[	[	X
ejpam-6145	24	2	18	18	NUM
ejpam-6145	24	3	]	]	PUNCT
ejpam-6145	24	4	proposed	propose	VERB
ejpam-6145	24	5	an	an	DET
ejpam-6145	24	6	extended	extended	ADJ
ejpam-6145	24	7	hamiltonian	hamiltonian	ADJ
ejpam-6145	24	8	algorithm	algorithm	NOUN
ejpam-6145	24	9	(	(	PUNCT
ejpam-6145	24	10	eha	eha	NOUN
ejpam-6145	24	11	)	)	PUNCT
ejpam-6145	24	12	for	for	ADP
ejpam-6145	24	13	solving	solve	VERB
ejpam-6145	24	14	the	the	DET
ejpam-6145	24	15	algebraic	algebraic	ADJ
ejpam-6145	24	16	lyapunov	lyapunov	ADJ
ejpam-6145	24	17	equation	equation	NOUN
ejpam-6145	24	18	on	on	ADP
ejpam-6145	24	19	the	the	DET
ejpam-6145	24	20	manifold	manifold	NOUN
ejpam-6145	24	21	of	of	ADP
ejpam-6145	24	22	positive	positive	ADJ
ejpam-6145	24	23	-	-	PUNCT
ejpam-6145	24	24	definite	definite	ADJ
ejpam-6145	24	25	hermitian	hermitian	ADJ
ejpam-6145	24	26	matrices	matrix	NOUN
ejpam-6145	24	27	.	.	PUNCT
ejpam-6145	25	1	this	this	DET
ejpam-6145	25	2	approach	approach	NOUN
ejpam-6145	25	3	utilizes	utilize	VERB
ejpam-6145	25	4	a	a	DET
ejpam-6145	25	5	geodesic	geodesic	NOUN
ejpam-6145	25	6	-	-	PUNCT
ejpam-6145	25	7	based	base	VERB
ejpam-6145	25	8	cost	cost	NOUN
ejpam-6145	25	9	function	function	NOUN
ejpam-6145	25	10	and	and	CCONJ
ejpam-6145	25	11	exhibits	exhibit	VERB
ejpam-6145	25	12	superior	superior	ADJ
ejpam-6145	25	13	convergence	convergence	NOUN
ejpam-6145	25	14	compared	compare	VERB
ejpam-6145	25	15	to	to	ADP
ejpam-6145	25	16	traditional	traditional	ADJ
ejpam-6145	25	17	gradient	gradient	NOUN
ejpam-6145	25	18	-	-	PUNCT
ejpam-6145	25	19	based	base	VERB
ejpam-6145	25	20	methods	method	NOUN
ejpam-6145	25	21	.	.	PUNCT
ejpam-6145	26	1	in	in	ADP
ejpam-6145	26	2	addition	addition	NOUN
ejpam-6145	26	3	,	,	PUNCT
ejpam-6145	26	4	studies	study	NOUN
ejpam-6145	26	5	on	on	ADP
ejpam-6145	26	6	the	the	DET
ejpam-6145	26	7	geometry	geometry	NOUN
ejpam-6145	26	8	of	of	ADP
ejpam-6145	26	9	statistical	statistical	ADJ
ejpam-6145	26	10	manifolds	manifold	NOUN
ejpam-6145	26	11	,	,	PUNCT
ejpam-6145	26	12	such	such	ADJ
ejpam-6145	26	13	as	as	ADP
ejpam-6145	26	14	the	the	DET
ejpam-6145	26	15	freund	freund	PROPN
ejpam-6145	26	16	manifold	manifold	NOUN
ejpam-6145	26	17	[	[	X
ejpam-6145	26	18	19	19	NUM
ejpam-6145	26	19	]	]	PUNCT
ejpam-6145	26	20	and	and	CCONJ
ejpam-6145	26	21	gamma	gamma	PROPN
ejpam-6145	26	22	exponential	exponential	PROPN
ejpam-6145	26	23	manifold	manifold	NOUN
ejpam-6145	26	24	[	[	X
ejpam-6145	26	25	20	20	NUM
ejpam-6145	26	26	]	]	PUNCT
ejpam-6145	26	27	,	,	PUNCT
ejpam-6145	26	28	have	have	AUX
ejpam-6145	26	29	provided	provide	VERB
ejpam-6145	26	30	insights	insight	NOUN
ejpam-6145	26	31	into	into	ADP
ejpam-6145	26	32	the	the	DET
ejpam-6145	26	33	role	role	NOUN
ejpam-6145	26	34	of	of	ADP
ejpam-6145	26	35	geodesic	geodesic	ADJ
ejpam-6145	26	36	instability	instability	NOUN
ejpam-6145	26	37	and	and	CCONJ
ejpam-6145	26	38	jacobi	jacobi	PROPN
ejpam-6145	26	39	fields	field	NOUN
ejpam-6145	26	40	in	in	ADP
ejpam-6145	26	41	understanding	understand	VERB
ejpam-6145	26	42	optimization	optimization	NOUN
ejpam-6145	26	43	paths	path	NOUN
ejpam-6145	26	44	in	in	ADP
ejpam-6145	26	45	curved	curved	ADJ
ejpam-6145	26	46	spaces	space	NOUN
ejpam-6145	26	47	.	.	PUNCT
ejpam-6145	27	1	these	these	DET
ejpam-6145	27	2	geometric	geometric	ADJ
ejpam-6145	27	3	insights	insight	NOUN
ejpam-6145	27	4	inspire	inspire	VERB
ejpam-6145	27	5	us	we	PRON
ejpam-6145	27	6	to	to	PART
ejpam-6145	27	7	enhance	enhance	VERB
ejpam-6145	27	8	classical	classical	ADJ
ejpam-6145	27	9	cg	cg	NOUN
ejpam-6145	27	10	methods	method	NOUN
ejpam-6145	27	11	by	by	ADP
ejpam-6145	27	12	incorporating	incorporate	VERB
ejpam-6145	27	13	curvature	curvature	NOUN
ejpam-6145	27	14	-	-	PUNCT
ejpam-6145	27	15	aware	aware	ADJ
ejpam-6145	27	16	spectral	spectral	ADJ
ejpam-6145	27	17	adjustments	adjustment	NOUN
ejpam-6145	27	18	to	to	PART
ejpam-6145	27	19	improve	improve	VERB
ejpam-6145	27	20	both	both	DET
ejpam-6145	27	21	convergence	convergence	NOUN
ejpam-6145	27	22	and	and	CCONJ
ejpam-6145	27	23	robustness	robustness	NOUN
ejpam-6145	27	24	,	,	PUNCT
ejpam-6145	27	25	particularly	particularly	ADV
ejpam-6145	27	26	in	in	ADP
ejpam-6145	27	27	high	high	ADV
ejpam-6145	27	28	-	-	PUNCT
ejpam-6145	27	29	dimensional	dimensional	ADJ
ejpam-6145	27	30	and	and	CCONJ
ejpam-6145	27	31	ill	ill	ADV
ejpam-6145	27	32	-	-	PUNCT
ejpam-6145	27	33	conditioned	condition	VERB
ejpam-6145	27	34	settings	setting	NOUN
ejpam-6145	27	35	.	.	PUNCT
ejpam-6145	28	1	motivated	motivate	VERB
ejpam-6145	28	2	by	by	ADP
ejpam-6145	28	3	such	such	ADJ
ejpam-6145	28	4	developments	development	NOUN
ejpam-6145	28	5	,	,	PUNCT
ejpam-6145	28	6	we	we	PRON
ejpam-6145	28	7	propose	propose	VERB
ejpam-6145	28	8	a	a	DET
ejpam-6145	28	9	new	new	ADJ
ejpam-6145	28	10	spectral	spectral	ADJ
ejpam-6145	28	11	conjugate	conjugate	ADJ
ejpam-6145	28	12	gradient	gradient	NOUN
ejpam-6145	28	13	method	method	NOUN
ejpam-6145	28	14	tailored	tailor	VERB
ejpam-6145	28	15	to	to	ADP
ejpam-6145	28	16	large	large	ADJ
ejpam-6145	28	17	-	-	PUNCT
ejpam-6145	28	18	scale	scale	NOUN
ejpam-6145	28	19	optimization	optimization	NOUN
ejpam-6145	28	20	problems	problem	NOUN
ejpam-6145	28	21	.	.	PUNCT
ejpam-6145	29	1	our	our	PRON
ejpam-6145	29	2	method	method	NOUN
ejpam-6145	29	3	incorporates	incorporate	VERB
ejpam-6145	29	4	adaptive	adaptive	ADJ
ejpam-6145	29	5	spectral	spectral	ADJ
ejpam-6145	29	6	parameters	parameter	NOUN
ejpam-6145	29	7	,	,	PUNCT
ejpam-6145	29	8	while	while	SCONJ
ejpam-6145	29	9	maintaining	maintain	VERB
ejpam-6145	29	10	the	the	DET
ejpam-6145	29	11	simplicity	simplicity	NOUN
ejpam-6145	29	12	and	and	CCONJ
ejpam-6145	29	13	memory	memory	NOUN
ejpam-6145	29	14	efficiency	efficiency	NOUN
ejpam-6145	29	15	characteristic	characteristic	NOUN
ejpam-6145	29	16	of	of	ADP
ejpam-6145	29	17	traditional	traditional	ADJ
ejpam-6145	29	18	cg	cg	NOUN
ejpam-6145	29	19	schemes	scheme	NOUN
ejpam-6145	29	20	.	.	PUNCT
ejpam-6145	30	1	cg	cg	NOUN
ejpam-6145	30	2	methods	method	NOUN
ejpam-6145	30	3	are	be	AUX
ejpam-6145	30	4	widely	widely	ADV
ejpam-6145	30	5	recognized	recognize	VERB
ejpam-6145	30	6	for	for	ADP
ejpam-6145	30	7	their	their	PRON
ejpam-6145	30	8	simplicity	simplicity	NOUN
ejpam-6145	30	9	,	,	PUNCT
ejpam-6145	30	10	efficiency	efficiency	NOUN
ejpam-6145	30	11	,	,	PUNCT
ejpam-6145	30	12	and	and	CCONJ
ejpam-6145	30	13	low	low	ADJ
ejpam-6145	30	14	memory	memory	NOUN
ejpam-6145	30	15	requirements	requirement	NOUN
ejpam-6145	30	16	,	,	PUNCT
ejpam-6145	30	17	making	make	VERB
ejpam-6145	30	18	them	they	PRON
ejpam-6145	30	19	highly	highly	ADV
ejpam-6145	30	20	suitable	suitable	ADJ
ejpam-6145	30	21	for	for	ADP
ejpam-6145	30	22	large	large	ADJ
ejpam-6145	30	23	-	-	PUNCT
ejpam-6145	30	24	scale	scale	NOUN
ejpam-6145	30	25	optimization	optimization	NOUN
ejpam-6145	30	26	problems	problem	NOUN
ejpam-6145	30	27	.	.	PUNCT
ejpam-6145	31	1	the	the	DET
ejpam-6145	31	2	standard	standard	ADJ
ejpam-6145	31	3	iteration	iteration	NOUN
ejpam-6145	31	4	scheme	scheme	NOUN
ejpam-6145	31	5	of	of	ADP
ejpam-6145	31	6	classical	classical	ADJ
ejpam-6145	31	7	cg	cg	NOUN
ejpam-6145	31	8	methods	method	NOUN
ejpam-6145	31	9	is	be	AUX
ejpam-6145	31	10	given	give	VERB
ejpam-6145	31	11	by	by	ADP
ejpam-6145	31	12	:	:	PUNCT
ejpam-6145	31	13	xk+1	xk+1	PROPN
ejpam-6145	31	14	=	=	SYM
ejpam-6145	31	15	xk	xk	PROPN
ejpam-6145	31	16	+	+	CCONJ
ejpam-6145	31	17	αkdk	αkdk	NOUN
ejpam-6145	31	18	,	,	PUNCT
ejpam-6145	31	19	(	(	PUNCT
ejpam-6145	31	20	2	2	X
ejpam-6145	31	21	)	)	PUNCT
ejpam-6145	31	22	where	where	SCONJ
ejpam-6145	31	23	dk	dk	PROPN
ejpam-6145	31	24	denotes	denote	VERB
ejpam-6145	31	25	the	the	DET
ejpam-6145	31	26	search	search	NOUN
ejpam-6145	31	27	direction	direction	NOUN
ejpam-6145	31	28	,	,	PUNCT
ejpam-6145	31	29	which	which	PRON
ejpam-6145	31	30	is	be	AUX
ejpam-6145	31	31	defined	define	VERB
ejpam-6145	31	32	as	as	ADP
ejpam-6145	31	33	:	:	PUNCT
ejpam-6145	31	34	dk+1	dk+1	X
ejpam-6145	31	35	=	=	SYM
ejpam-6145	31	36	{	{	PUNCT
ejpam-6145	31	37	−g0	−g0	PROPN
ejpam-6145	31	38	,	,	PUNCT
ejpam-6145	31	39	k	k	PROPN
ejpam-6145	31	40	=	=	SYM
ejpam-6145	31	41	0	0	NUM
ejpam-6145	31	42	,	,	PUNCT
ejpam-6145	31	43	−gk+1	−gk+1	PROPN
ejpam-6145	31	44	+	+	CCONJ
ejpam-6145	31	45	βkdk	βkdk	NOUN
ejpam-6145	31	46	,	,	PUNCT
ejpam-6145	31	47	k	k	PROPN
ejpam-6145	31	48	≥	≥	NUM
ejpam-6145	31	49	1	1	NUM
ejpam-6145	31	50	.	.	PUNCT
ejpam-6145	32	1	(	(	PUNCT
ejpam-6145	32	2	3	3	X
ejpam-6145	32	3	)	)	PUNCT
ejpam-6145	32	4	here	here	ADV
ejpam-6145	32	5	,	,	PUNCT
ejpam-6145	32	6	gk	gk	PROPN
ejpam-6145	32	7	=	=	SYM
ejpam-6145	32	8	g(xk	g(xk	PROPN
ejpam-6145	32	9	)	)	PUNCT
ejpam-6145	32	10	,	,	PUNCT
ejpam-6145	32	11	βk	βk	VERB
ejpam-6145	32	12	is	be	AUX
ejpam-6145	32	13	the	the	DET
ejpam-6145	32	14	conjugate	conjugate	ADJ
ejpam-6145	32	15	parameter	parameter	NOUN
ejpam-6145	32	16	,	,	PUNCT
ejpam-6145	32	17	and	and	CCONJ
ejpam-6145	32	18	αk	αk	INTJ
ejpam-6145	32	19	is	be	AUX
ejpam-6145	32	20	the	the	DET
ejpam-6145	32	21	step	step	NOUN
ejpam-6145	32	22	size	size	NOUN
ejpam-6145	32	23	,	,	PUNCT
ejpam-6145	32	24	which	which	PRON
ejpam-6145	32	25	can	can	AUX
ejpam-6145	32	26	be	be	AUX
ejpam-6145	32	27	computed	compute	VERB
ejpam-6145	32	28	using	use	VERB
ejpam-6145	32	29	exact	exact	ADJ
ejpam-6145	32	30	or	or	CCONJ
ejpam-6145	32	31	inexact	inexact	ADJ
ejpam-6145	32	32	line	line	NOUN
ejpam-6145	32	33	search	search	NOUN
ejpam-6145	32	34	techniques	technique	NOUN
ejpam-6145	32	35	.	.	PUNCT
ejpam-6145	33	1	due	due	ADP
ejpam-6145	33	2	to	to	ADP
ejpam-6145	33	3	the	the	DET
ejpam-6145	33	4	computational	computational	ADJ
ejpam-6145	33	5	cost	cost	NOUN
ejpam-6145	33	6	associated	associate	VERB
ejpam-6145	33	7	with	with	ADP
ejpam-6145	33	8	exact	exact	ADJ
ejpam-6145	33	9	line	line	NOUN
ejpam-6145	33	10	search	search	NOUN
ejpam-6145	33	11	,	,	PUNCT
ejpam-6145	33	12	inexact	inexact	ADJ
ejpam-6145	33	13	line	line	NOUN
ejpam-6145	33	14	searches	search	NOUN
ejpam-6145	33	15	such	such	ADJ
ejpam-6145	33	16	as	as	ADP
ejpam-6145	33	17	the	the	DET
ejpam-6145	33	18	wolfe	wolfe	PROPN
ejpam-6145	33	19	conditions	condition	NOUN
ejpam-6145	33	20	are	be	AUX
ejpam-6145	33	21	often	often	ADV
ejpam-6145	33	22	employed	employ	VERB
ejpam-6145	33	23	:	:	PUNCT
ejpam-6145	33	24	{	{	PUNCT
ejpam-6145	33	25	f(xk	f(xk	X
ejpam-6145	33	26	+	+	NUM
ejpam-6145	33	27	αkdk	αkdk	NOUN
ejpam-6145	33	28	)	)	PUNCT
ejpam-6145	33	29	≤	≤	NUM
ejpam-6145	33	30	f(xk	f(xk	PROPN
ejpam-6145	33	31	)	)	PUNCT
ejpam-6145	34	1	+	+	CCONJ
ejpam-6145	34	2	δαkg	δαkg	NOUN
ejpam-6145	34	3	t	t	PROPN
ejpam-6145	34	4	k	k	PROPN
ejpam-6145	34	5	dk	dk	PROPN
ejpam-6145	34	6	,	,	PUNCT
ejpam-6145	34	7	g(xk	g(xk	PROPN
ejpam-6145	34	8	+	+	CCONJ
ejpam-6145	34	9	αkdk	αkdk	NOUN
ejpam-6145	34	10	)	)	PUNCT
ejpam-6145	34	11	tdk	tdk	NOUN
ejpam-6145	34	12	≥	≥	PROPN
ejpam-6145	34	13	σgtk	σgtk	PROPN
ejpam-6145	34	14	dk	dk	PROPN
ejpam-6145	34	15	,	,	PUNCT
ejpam-6145	34	16	(	(	PUNCT
ejpam-6145	34	17	4	4	NUM
ejpam-6145	34	18	)	)	PUNCT
ejpam-6145	34	19	or	or	CCONJ
ejpam-6145	34	20	the	the	DET
ejpam-6145	34	21	strong	strong	ADJ
ejpam-6145	34	22	wolfe	wolfe	PROPN
ejpam-6145	34	23	conditions	condition	NOUN
ejpam-6145	34	24	:	:	PUNCT
ejpam-6145	34	25	{	{	PUNCT
ejpam-6145	34	26	f(xk	f(xk	X
ejpam-6145	34	27	+	+	NUM
ejpam-6145	34	28	αkdk	αkdk	NOUN
ejpam-6145	34	29	)	)	PUNCT
ejpam-6145	34	30	≤	≤	NUM
ejpam-6145	34	31	f(xk	f(xk	PROPN
ejpam-6145	34	32	)	)	PUNCT
ejpam-6145	34	33	+	+	CCONJ
ejpam-6145	34	34	δαkg	δαkg	NOUN
ejpam-6145	34	35	t	t	PROPN
ejpam-6145	34	36	k	k	PROPN
ejpam-6145	34	37	dk	dk	PROPN
ejpam-6145	34	38	,	,	PUNCT
ejpam-6145	34	39	|g(xk	|g(xk	PROPN
ejpam-6145	34	40	+	+	SYM
ejpam-6145	34	41	αkdk	αkdk	NOUN
ejpam-6145	34	42	)	)	PUNCT
ejpam-6145	34	43	tdk|	tdk|	VERB
ejpam-6145	34	44	≤	≤	NUM
ejpam-6145	34	45	σ|gtk	σ|gtk	NOUN
ejpam-6145	34	46	dk|	dk|	NOUN
ejpam-6145	34	47	.	.	PUNCT
ejpam-6145	35	1	(	(	PUNCT
ejpam-6145	35	2	5	5	NUM
ejpam-6145	35	3	)	)	PUNCT
ejpam-6145	35	4	k.	k.	PROPN
ejpam-6145	35	5	j.	j.	PROPN
ejpam-6145	35	6	murad	murad	PROPN
ejpam-6145	35	7	,	,	PUNCT
ejpam-6145	35	8	s.	s.	PROPN
ejpam-6145	35	9	g.	g.	PROPN
ejpam-6145	35	10	shareef	shareef	PROPN
ejpam-6145	35	11	/	/	PUNCT
ejpam-6145	35	12	eur	eur	PROPN
ejpam-6145	35	13	.	.	PUNCT
ejpam-6145	36	1	j.	j.	PROPN
ejpam-6145	36	2	pure	pure	PROPN
ejpam-6145	36	3	appl	appl	PROPN
ejpam-6145	36	4	.	.	PROPN
ejpam-6145	36	5	math	math	PROPN
ejpam-6145	36	6	,	,	PUNCT
ejpam-6145	36	7	18	18	NUM
ejpam-6145	36	8	(	(	PUNCT
ejpam-6145	36	9	3	3	NUM
ejpam-6145	36	10	)	)	PUNCT
ejpam-6145	36	11	(	(	PUNCT
ejpam-6145	36	12	2025	2025	NUM
ejpam-6145	36	13	)	)	PUNCT
ejpam-6145	36	14	,	,	PUNCT
ejpam-6145	36	15	6145	6145	NUM
ejpam-6145	36	16	3	3	NUM
ejpam-6145	36	17	of	of	ADP
ejpam-6145	36	18	17	17	NUM
ejpam-6145	36	19	in	in	ADP
ejpam-6145	36	20	these	these	DET
ejpam-6145	36	21	conditions	condition	NOUN
ejpam-6145	37	1	,	,	PUNCT
ejpam-6145	37	2	the	the	DET
ejpam-6145	37	3	parameters	parameter	NOUN
ejpam-6145	37	4	δ	δ	PROPN
ejpam-6145	37	5	and	and	CCONJ
ejpam-6145	37	6	σ	σ	PROPN
ejpam-6145	37	7	are	be	AUX
ejpam-6145	37	8	chosen	choose	VERB
ejpam-6145	37	9	such	such	ADJ
ejpam-6145	37	10	that	that	SCONJ
ejpam-6145	37	11	0	0	NUM
ejpam-6145	37	12	<	<	X
ejpam-6145	37	13	δ	δ	X
ejpam-6145	37	14	<	<	X
ejpam-6145	37	15	σ	σ	X
ejpam-6145	37	16	<	<	X
ejpam-6145	37	17	1	1	NUM
ejpam-6145	37	18	.	.	PUNCT
ejpam-6145	37	19	different	different	ADJ
ejpam-6145	37	20	choices	choice	NOUN
ejpam-6145	37	21	of	of	ADP
ejpam-6145	37	22	the	the	DET
ejpam-6145	37	23	parameter	parameter	NOUN
ejpam-6145	37	24	βk	βk	ADP
ejpam-6145	37	25	lead	lead	NOUN
ejpam-6145	37	26	to	to	ADP
ejpam-6145	37	27	various	various	ADJ
ejpam-6145	37	28	cg	cg	NOUN
ejpam-6145	37	29	methods	method	NOUN
ejpam-6145	37	30	,	,	PUNCT
ejpam-6145	37	31	the	the	DET
ejpam-6145	37	32	most	most	ADV
ejpam-6145	37	33	well	well	ADV
ejpam-6145	37	34	-	-	PUNCT
ejpam-6145	37	35	known	know	VERB
ejpam-6145	37	36	of	of	ADP
ejpam-6145	37	37	which	which	PRON
ejpam-6145	37	38	include	include	VERB
ejpam-6145	37	39	hestenes	hestene	NOUN
ejpam-6145	37	40	-	-	PUNCT
ejpam-6145	37	41	stiefel	stiefel	NOUN
ejpam-6145	37	42	(	(	PUNCT
ejpam-6145	37	43	hs	hs	X
ejpam-6145	37	44	)	)	PUNCT
ejpam-6145	38	1	[	[	X
ejpam-6145	38	2	21	21	NUM
ejpam-6145	38	3	]	]	PUNCT
ejpam-6145	38	4	,	,	PUNCT
ejpam-6145	38	5	fletcher	fletcher	PROPN
ejpam-6145	38	6	-	-	PUNCT
ejpam-6145	38	7	reeves	reeves	PROPN
ejpam-6145	38	8	(	(	PUNCT
ejpam-6145	38	9	fr	fr	PROPN
ejpam-6145	38	10	)	)	PUNCT
ejpam-6145	39	1	[	[	X
ejpam-6145	39	2	22	22	NUM
ejpam-6145	39	3	]	]	PUNCT
ejpam-6145	39	4	,	,	PUNCT
ejpam-6145	39	5	polak	polak	NOUN
ejpam-6145	39	6	-	-	PUNCT
ejpam-6145	39	7	ribièrepolyak	ribièrepolyak	PROPN
ejpam-6145	39	8	(	(	PUNCT
ejpam-6145	39	9	prp	prp	PROPN
ejpam-6145	39	10	)	)	PUNCT
ejpam-6145	40	1	[	[	X
ejpam-6145	40	2	23	23	NUM
ejpam-6145	40	3	,	,	PUNCT
ejpam-6145	40	4	24	24	NUM
ejpam-6145	40	5	]	]	PUNCT
ejpam-6145	40	6	,	,	PUNCT
ejpam-6145	40	7	liu	liu	PROPN
ejpam-6145	40	8	-	-	PUNCT
ejpam-6145	40	9	storey	storey	PROPN
ejpam-6145	40	10	(	(	PUNCT
ejpam-6145	40	11	ls	ls	PROPN
ejpam-6145	40	12	)	)	PUNCT
ejpam-6145	40	13	[	[	X
ejpam-6145	40	14	25	25	NUM
ejpam-6145	40	15	]	]	PUNCT
ejpam-6145	40	16	,	,	PUNCT
ejpam-6145	40	17	dai	dai	PROPN
ejpam-6145	40	18	-	-	PUNCT
ejpam-6145	40	19	yuan	yuan	PROPN
ejpam-6145	40	20	(	(	PUNCT
ejpam-6145	40	21	dy	dy	X
ejpam-6145	40	22	)	)	PUNCT
ejpam-6145	41	1	[	[	X
ejpam-6145	41	2	26	26	NUM
ejpam-6145	41	3	]	]	PUNCT
ejpam-6145	41	4	,	,	PUNCT
ejpam-6145	41	5	and	and	CCONJ
ejpam-6145	41	6	conjugate	conjugate	ADJ
ejpam-6145	41	7	-	-	PUNCT
ejpam-6145	41	8	descent	descent	NOUN
ejpam-6145	41	9	(	(	PUNCT
ejpam-6145	41	10	cd	cd	PROPN
ejpam-6145	41	11	)	)	PUNCT
ejpam-6145	42	1	[	[	X
ejpam-6145	42	2	27	27	NUM
ejpam-6145	42	3	]	]	PUNCT
ejpam-6145	42	4	.	.	PUNCT
ejpam-6145	43	1	for	for	ADP
ejpam-6145	43	2	example	example	NOUN
ejpam-6145	43	3	:	:	PUNCT
ejpam-6145	43	4	βhs	βhs	NOUN
ejpam-6145	43	5	k	k	PROPN
ejpam-6145	44	1	=	=	PUNCT
ejpam-6145	45	1	gtk+1yk	gtk+1yk	NOUN
ejpam-6145	45	2	ytk	ytk	NOUN
ejpam-6145	45	3	dk	dk	PROPN
ejpam-6145	45	4	,	,	PUNCT
ejpam-6145	45	5	(	(	PUNCT
ejpam-6145	45	6	6	6	NUM
ejpam-6145	45	7	)	)	PUNCT
ejpam-6145	45	8	βfr	βfr	PROPN
ejpam-6145	46	1	k	k	NOUN
ejpam-6145	46	2	=	=	PUNCT
ejpam-6145	46	3	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-6145	46	4	∥gk∥2	∥gk∥2	PROPN
ejpam-6145	46	5	,	,	PUNCT
ejpam-6145	46	6	(	(	PUNCT
ejpam-6145	46	7	7	7	X
ejpam-6145	46	8	)	)	PUNCT
ejpam-6145	46	9	βprp	βprp	NOUN
ejpam-6145	47	1	k	k	NOUN
ejpam-6145	47	2	=	=	PUNCT
ejpam-6145	47	3	gtk+1yk	gtk+1yk	PROPN
ejpam-6145	47	4	∥gk∥2	∥gk∥2	PROPN
ejpam-6145	47	5	,	,	PUNCT
ejpam-6145	47	6	(	(	PUNCT
ejpam-6145	47	7	8)	8)	NUM
ejpam-6145	47	8	βls	βls	NOUN
ejpam-6145	47	9	k	k	NOUN
ejpam-6145	48	1	=	=	PUNCT
ejpam-6145	48	2	gtk+1yk	gtk+1yk	NOUN
ejpam-6145	48	3	−gtk	−gtk	NOUN
ejpam-6145	48	4	dk	dk	X
ejpam-6145	48	5	,	,	PUNCT
ejpam-6145	48	6	(	(	PUNCT
ejpam-6145	48	7	9	9	X
ejpam-6145	48	8	)	)	PUNCT
ejpam-6145	48	9	βdy	βdy	NOUN
ejpam-6145	48	10	k	k	NOUN
ejpam-6145	49	1	=	=	PUNCT
ejpam-6145	49	2	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-6145	49	3	ytk	ytk	NOUN
ejpam-6145	49	4	dk	dk	PROPN
ejpam-6145	49	5	,	,	PUNCT
ejpam-6145	49	6	(	(	PUNCT
ejpam-6145	49	7	10	10	NUM
ejpam-6145	49	8	)	)	PUNCT
ejpam-6145	49	9	βcd	βcd	NOUN
ejpam-6145	49	10	k	k	NOUN
ejpam-6145	49	11	=	=	SYM
ejpam-6145	49	12	∥gk+1∥2	∥gk+1∥2	X
ejpam-6145	49	13	−gtk	−gtk	X
ejpam-6145	49	14	dk	dk	X
ejpam-6145	49	15	,	,	PUNCT
ejpam-6145	49	16	(	(	PUNCT
ejpam-6145	49	17	11	11	NUM
ejpam-6145	49	18	)	)	PUNCT
ejpam-6145	49	19	where	where	SCONJ
ejpam-6145	49	20	yk	yk	NOUN
ejpam-6145	49	21	=	=	PROPN
ejpam-6145	49	22	gk+1	gk+1	NOUN
ejpam-6145	49	23	−	−	PROPN
ejpam-6145	49	24	gk	gk	PROPN
ejpam-6145	49	25	and	and	CCONJ
ejpam-6145	49	26	∥	∥	PRON
ejpam-6145	49	27	·	·	PUNCT
ejpam-6145	49	28	∥	∥	PUNCT
ejpam-6145	49	29	denotes	denote	VERB
ejpam-6145	49	30	the	the	DET
ejpam-6145	49	31	euclidean	euclidean	ADJ
ejpam-6145	49	32	norm	norm	NOUN
ejpam-6145	49	33	.	.	PUNCT
ejpam-6145	50	1	theoretically	theoretically	ADV
ejpam-6145	50	2	,	,	PUNCT
ejpam-6145	50	3	for	for	ADP
ejpam-6145	50	4	strongly	strongly	ADV
ejpam-6145	50	5	convex	convex	VERB
ejpam-6145	50	6	quadratic	quadratic	ADJ
ejpam-6145	50	7	functions	function	NOUN
ejpam-6145	50	8	,	,	PUNCT
ejpam-6145	50	9	all	all	DET
ejpam-6145	50	10	choices	choice	NOUN
ejpam-6145	50	11	of	of	ADP
ejpam-6145	50	12	βk	βk	NOUN
ejpam-6145	50	13	are	be	AUX
ejpam-6145	50	14	equivalent	equivalent	ADJ
ejpam-6145	50	15	when	when	SCONJ
ejpam-6145	50	16	exact	exact	ADJ
ejpam-6145	50	17	minimization	minimization	NOUN
ejpam-6145	50	18	is	be	AUX
ejpam-6145	50	19	applied	apply	VERB
ejpam-6145	50	20	.	.	PUNCT
ejpam-6145	51	1	however	however	ADV
ejpam-6145	51	2	,	,	PUNCT
ejpam-6145	51	3	for	for	ADP
ejpam-6145	51	4	non	non	ADJ
ejpam-6145	51	5	-	-	ADJ
ejpam-6145	51	6	quadratic	quadratic	ADJ
ejpam-6145	51	7	objective	objective	ADJ
ejpam-6145	51	8	functions	function	NOUN
ejpam-6145	51	9	,	,	PUNCT
ejpam-6145	51	10	the	the	DET
ejpam-6145	51	11	performance	performance	NOUN
ejpam-6145	51	12	varies	vary	VERB
ejpam-6145	51	13	significantly	significantly	ADV
ejpam-6145	51	14	depending	depend	VERB
ejpam-6145	51	15	on	on	ADP
ejpam-6145	51	16	the	the	DET
ejpam-6145	51	17	choice	choice	NOUN
ejpam-6145	51	18	of	of	ADP
ejpam-6145	51	19	βk	βk	ADP
ejpam-6145	51	20	[	[	X
ejpam-6145	51	21	28	28	NUM
ejpam-6145	51	22	]	]	PUNCT
ejpam-6145	51	23	.	.	PUNCT
ejpam-6145	52	1	among	among	ADP
ejpam-6145	52	2	these	these	DET
ejpam-6145	52	3	methods	method	NOUN
ejpam-6145	52	4	,	,	PUNCT
ejpam-6145	52	5	the	the	DET
ejpam-6145	52	6	prp	prp	NOUN
ejpam-6145	52	7	method	method	NOUN
ejpam-6145	52	8	has	have	AUX
ejpam-6145	52	9	been	be	AUX
ejpam-6145	52	10	shown	show	VERB
ejpam-6145	52	11	to	to	PART
ejpam-6145	52	12	be	be	AUX
ejpam-6145	52	13	more	more	ADV
ejpam-6145	52	14	computationally	computationally	ADV
ejpam-6145	52	15	efficient	efficient	ADJ
ejpam-6145	52	16	than	than	ADP
ejpam-6145	52	17	the	the	DET
ejpam-6145	52	18	fr	fr	ADJ
ejpam-6145	52	19	method	method	NOUN
ejpam-6145	52	20	and	and	CCONJ
ejpam-6145	52	21	has	have	VERB
ejpam-6145	52	22	global	global	ADJ
ejpam-6145	52	23	convergence	convergence	NOUN
ejpam-6145	52	24	properties	property	NOUN
ejpam-6145	52	25	under	under	ADP
ejpam-6145	52	26	exact	exact	ADJ
ejpam-6145	52	27	line	line	NOUN
ejpam-6145	52	28	search	search	NOUN
ejpam-6145	52	29	when	when	SCONJ
ejpam-6145	52	30	the	the	DET
ejpam-6145	52	31	objective	objective	ADJ
ejpam-6145	52	32	function	function	NOUN
ejpam-6145	52	33	is	be	AUX
ejpam-6145	52	34	convex	convex	NOUN
ejpam-6145	52	35	[	[	X
ejpam-6145	52	36	24	24	NUM
ejpam-6145	52	37	]	]	PUNCT
ejpam-6145	52	38	.	.	PUNCT
ejpam-6145	53	1	several	several	ADJ
ejpam-6145	53	2	variations	variation	NOUN
ejpam-6145	53	3	of	of	ADP
ejpam-6145	53	4	cg	cg	NOUN
ejpam-6145	53	5	methods	method	NOUN
ejpam-6145	53	6	have	have	AUX
ejpam-6145	53	7	been	be	AUX
ejpam-6145	53	8	proposed	propose	VERB
ejpam-6145	53	9	to	to	PART
ejpam-6145	53	10	improve	improve	VERB
ejpam-6145	53	11	their	their	PRON
ejpam-6145	53	12	performance	performance	NOUN
ejpam-6145	53	13	further	far	ADV
ejpam-6145	53	14	[	[	X
ejpam-6145	53	15	29–34	29–34	NUM
ejpam-6145	53	16	]	]	PUNCT
ejpam-6145	53	17	.	.	PUNCT
ejpam-6145	54	1	building	build	VERB
ejpam-6145	54	2	on	on	ADP
ejpam-6145	54	3	the	the	DET
ejpam-6145	54	4	spectral	spectral	ADJ
ejpam-6145	54	5	gradient	gradient	ADJ
ejpam-6145	54	6	approach	approach	NOUN
ejpam-6145	54	7	[	[	X
ejpam-6145	54	8	35	35	NUM
ejpam-6145	54	9	]	]	PUNCT
ejpam-6145	54	10	,	,	PUNCT
ejpam-6145	54	11	bergin	bergin	PROPN
ejpam-6145	54	12	et	et	PROPN
ejpam-6145	54	13	al	al	PROPN
ejpam-6145	54	14	.	.	PUNCT
ejpam-6145	55	1	[	[	X
ejpam-6145	55	2	36	36	NUM
ejpam-6145	55	3	]	]	PUNCT
ejpam-6145	55	4	introduced	introduce	VERB
ejpam-6145	55	5	the	the	DET
ejpam-6145	55	6	spectral	spectral	ADJ
ejpam-6145	55	7	conjugate	conjugate	ADJ
ejpam-6145	55	8	gradient	gradient	NOUN
ejpam-6145	55	9	(	(	PUNCT
ejpam-6145	55	10	b	b	NOUN
ejpam-6145	55	11	-	-	PUNCT
ejpam-6145	55	12	scg	scg	ADJ
ejpam-6145	55	13	)	)	PUNCT
ejpam-6145	55	14	method	method	NOUN
ejpam-6145	55	15	,	,	PUNCT
ejpam-6145	55	16	where	where	SCONJ
ejpam-6145	55	17	the	the	DET
ejpam-6145	55	18	search	search	NOUN
ejpam-6145	55	19	direction	direction	NOUN
ejpam-6145	55	20	is	be	AUX
ejpam-6145	55	21	defined	define	VERB
ejpam-6145	55	22	by	by	ADP
ejpam-6145	55	23	:	:	PUNCT
ejpam-6145	55	24	dk+1	dk+1	X
ejpam-6145	55	25	=	=	SYM
ejpam-6145	55	26	{	{	PUNCT
ejpam-6145	55	27	−g0	−g0	PROPN
ejpam-6145	55	28	,	,	PUNCT
ejpam-6145	55	29	k	k	PROPN
ejpam-6145	55	30	=	=	SYM
ejpam-6145	55	31	0	0	NUM
ejpam-6145	55	32	,	,	PUNCT
ejpam-6145	55	33	−θkgk+1	−θkgk+1	PUNCT
ejpam-6145	56	1	+	+	CCONJ
ejpam-6145	56	2	βkdk	βkdk	NOUN
ejpam-6145	56	3	,	,	PUNCT
ejpam-6145	56	4	k	k	PROPN
ejpam-6145	56	5	≥	≥	NUM
ejpam-6145	56	6	1	1	NUM
ejpam-6145	56	7	.	.	PUNCT
ejpam-6145	57	1	(	(	PUNCT
ejpam-6145	57	2	12	12	NUM
ejpam-6145	57	3	)	)	PUNCT
ejpam-6145	57	4	here	here	ADV
ejpam-6145	57	5	,	,	PUNCT
ejpam-6145	57	6	θk	θk	PROPN
ejpam-6145	57	7	is	be	AUX
ejpam-6145	57	8	the	the	DET
ejpam-6145	57	9	spectral	spectral	ADJ
ejpam-6145	57	10	parameter	parameter	NOUN
ejpam-6145	57	11	,	,	PUNCT
ejpam-6145	57	12	and	and	CCONJ
ejpam-6145	57	13	βk	βk	NOUN
ejpam-6145	57	14	is	be	AUX
ejpam-6145	57	15	the	the	DET
ejpam-6145	57	16	conjugate	conjugate	ADJ
ejpam-6145	57	17	parameter	parameter	NOUN
ejpam-6145	57	18	defined	define	VERB
ejpam-6145	57	19	as	as	ADP
ejpam-6145	57	20	:	:	PUNCT
ejpam-6145	57	21	θk	θk	NOUN
ejpam-6145	57	22	=	=	SYM
ejpam-6145	57	23	vtk	vtk	PROPN
ejpam-6145	57	24	vk	vk	INTJ
ejpam-6145	57	25	vtk	vtk	PROPN
ejpam-6145	57	26	yk	yk	PROPN
ejpam-6145	57	27	,	,	PUNCT
ejpam-6145	57	28	βk	βk	ADV
ejpam-6145	57	29	=	=	PUNCT
ejpam-6145	57	30	(	(	PUNCT
ejpam-6145	58	1	θkyk	θkyk	NOUN
ejpam-6145	58	2	−	−	PROPN
ejpam-6145	58	3	vk	vk	PROPN
ejpam-6145	58	4	)	)	PUNCT
ejpam-6145	58	5	t	t	PROPN
ejpam-6145	58	6	gk+1	gk+1	NOUN
ejpam-6145	58	7	dtk	dtk	PROPN
ejpam-6145	58	8	yk	yk	PROPN
ejpam-6145	58	9	.	.	PUNCT
ejpam-6145	59	1	(	(	PUNCT
ejpam-6145	59	2	13	13	NUM
ejpam-6145	59	3	)	)	PUNCT
ejpam-6145	59	4	the	the	DET
ejpam-6145	59	5	scg	scg	PROPN
ejpam-6145	59	6	method	method	NOUN
ejpam-6145	59	7	reduces	reduce	VERB
ejpam-6145	59	8	to	to	ADP
ejpam-6145	59	9	the	the	DET
ejpam-6145	59	10	classical	classical	ADJ
ejpam-6145	59	11	cg	cg	NOUN
ejpam-6145	59	12	method	method	NOUN
ejpam-6145	59	13	when	when	SCONJ
ejpam-6145	59	14	θk	θk	X
ejpam-6145	59	15	=	=	SYM
ejpam-6145	59	16	1	1	NUM
ejpam-6145	59	17	and	and	CCONJ
ejpam-6145	59	18	to	to	ADP
ejpam-6145	59	19	the	the	DET
ejpam-6145	59	20	spectral	spectral	ADJ
ejpam-6145	59	21	gradient	gradient	NOUN
ejpam-6145	59	22	method	method	NOUN
ejpam-6145	59	23	when	when	SCONJ
ejpam-6145	59	24	βk	βk	ADV
ejpam-6145	59	25	=	=	NOUN
ejpam-6145	59	26	0	0	PROPN
ejpam-6145	59	27	.	.	PUNCT
ejpam-6145	60	1	the	the	DET
ejpam-6145	60	2	scg	scg	NOUN
ejpam-6145	60	3	[	[	X
ejpam-6145	60	4	37	37	NUM
ejpam-6145	60	5	]	]	PUNCT
ejpam-6145	60	6	was	be	AUX
ejpam-6145	60	7	modified	modify	VERB
ejpam-6145	60	8	by	by	ADP
ejpam-6145	60	9	yu	yu	PROPN
ejpam-6145	60	10	et	et	PROPN
ejpam-6145	60	11	al	al	PROPN
ejpam-6145	60	12	.	.	PUNCT
ejpam-6145	61	1	[	[	X
ejpam-6145	61	2	38	38	NUM
ejpam-6145	61	3	]	]	PUNCT
ejpam-6145	61	4	in	in	ADP
ejpam-6145	61	5	order	order	NOUN
ejpam-6145	61	6	to	to	PART
ejpam-6145	61	7	achieve	achieve	VERB
ejpam-6145	61	8	the	the	DET
ejpam-6145	61	9	descent	descent	NOUN
ejpam-6145	61	10	directions	direction	NOUN
ejpam-6145	61	11	.	.	PUNCT
ejpam-6145	62	1	other	other	ADJ
ejpam-6145	62	2	modifications	modification	NOUN
ejpam-6145	62	3	based	base	VERB
ejpam-6145	62	4	on	on	ADP
ejpam-6145	62	5	different	different	ADJ
ejpam-6145	62	6	descent	descent	NOUN
ejpam-6145	62	7	conditions	condition	NOUN
ejpam-6145	62	8	have	have	AUX
ejpam-6145	62	9	been	be	AUX
ejpam-6145	62	10	suggested	suggest	VERB
ejpam-6145	62	11	by	by	ADP
ejpam-6145	62	12	wan	wan	PROPN
ejpam-6145	62	13	et	et	PROPN
ejpam-6145	62	14	al	al	PROPN
ejpam-6145	62	15	.	.	PUNCT
ejpam-6145	63	1	[	[	X
ejpam-6145	63	2	39	39	NUM
ejpam-6145	63	3	]	]	PUNCT
ejpam-6145	63	4	and	and	CCONJ
ejpam-6145	63	5	zhang	zhang	PROPN
ejpam-6145	63	6	et	et	PROPN
ejpam-6145	63	7	al	al	PROPN
ejpam-6145	63	8	.	.	PUNCT
ejpam-6145	64	1	[	[	X
ejpam-6145	64	2	40	40	NUM
ejpam-6145	64	3	]	]	PUNCT
ejpam-6145	64	4	,	,	PUNCT
ejpam-6145	64	5	focusing	focus	VERB
ejpam-6145	64	6	on	on	ADP
ejpam-6145	64	7	prp	prp	NOUN
ejpam-6145	64	8	and	and	CCONJ
ejpam-6145	64	9	fr	fr	PROPN
ejpam-6145	64	10	k.	k.	PROPN
ejpam-6145	65	1	j.	j.	PROPN
ejpam-6145	65	2	murad	murad	PROPN
ejpam-6145	65	3	,	,	PUNCT
ejpam-6145	65	4	s.	s.	PROPN
ejpam-6145	65	5	g.	g.	PROPN
ejpam-6145	65	6	shareef	shareef	PROPN
ejpam-6145	65	7	/	/	PUNCT
ejpam-6145	65	8	eur	eur	PROPN
ejpam-6145	65	9	.	.	PUNCT
ejpam-6145	66	1	j.	j.	PROPN
ejpam-6145	66	2	pure	pure	PROPN
ejpam-6145	66	3	appl	appl	PROPN
ejpam-6145	66	4	.	.	PROPN
ejpam-6145	66	5	math	math	PROPN
ejpam-6145	66	6	,	,	PUNCT
ejpam-6145	66	7	18	18	NUM
ejpam-6145	66	8	(	(	PUNCT
ejpam-6145	66	9	3	3	NUM
ejpam-6145	66	10	)	)	PUNCT
ejpam-6145	66	11	(	(	PUNCT
ejpam-6145	66	12	2025	2025	NUM
ejpam-6145	66	13	)	)	PUNCT
ejpam-6145	66	14	,	,	PUNCT
ejpam-6145	66	15	6145	6145	NUM
ejpam-6145	66	16	4	4	NUM
ejpam-6145	66	17	of	of	ADP
ejpam-6145	66	18	17	17	NUM
ejpam-6145	66	19	variants	variant	NOUN
ejpam-6145	66	20	.	.	PUNCT
ejpam-6145	67	1	moreover	moreover	ADV
ejpam-6145	67	2	,	,	PUNCT
ejpam-6145	67	3	leveraging	leverage	VERB
ejpam-6145	67	4	the	the	DET
ejpam-6145	67	5	strong	strong	ADJ
ejpam-6145	67	6	convergence	convergence	NOUN
ejpam-6145	67	7	of	of	ADP
ejpam-6145	67	8	the	the	DET
ejpam-6145	67	9	newton	newton	PROPN
ejpam-6145	67	10	method	method	NOUN
ejpam-6145	67	11	,	,	PUNCT
ejpam-6145	67	12	andrei	andrei	NOUN
ejpam-6145	68	1	[	[	X
ejpam-6145	68	2	41	41	NUM
ejpam-6145	68	3	]	]	PUNCT
ejpam-6145	68	4	introduced	introduce	VERB
ejpam-6145	68	5	an	an	DET
ejpam-6145	68	6	accelerated	accelerated	ADJ
ejpam-6145	68	7	cg	cg	NOUN
ejpam-6145	68	8	approach	approach	NOUN
ejpam-6145	68	9	that	that	PRON
ejpam-6145	68	10	integrates	integrate	VERB
ejpam-6145	68	11	newton	newton	PROPN
ejpam-6145	68	12	’s	’s	PART
ejpam-6145	68	13	method	method	NOUN
ejpam-6145	68	14	to	to	PART
ejpam-6145	68	15	improve	improve	VERB
ejpam-6145	68	16	cg	cg	NOUN
ejpam-6145	68	17	performance	performance	NOUN
ejpam-6145	68	18	.	.	PUNCT
ejpam-6145	69	1	recently	recently	ADV
ejpam-6145	69	2	,	,	PUNCT
ejpam-6145	69	3	modern	modern	ADJ
ejpam-6145	69	4	cg	cg	NOUN
ejpam-6145	69	5	variants	variant	NOUN
ejpam-6145	69	6	and	and	CCONJ
ejpam-6145	69	7	alternative	alternative	ADJ
ejpam-6145	69	8	optimization	optimization	NOUN
ejpam-6145	69	9	methods	method	NOUN
ejpam-6145	69	10	have	have	AUX
ejpam-6145	69	11	been	be	AUX
ejpam-6145	69	12	proposed	propose	VERB
ejpam-6145	69	13	to	to	PART
ejpam-6145	69	14	enhance	enhance	VERB
ejpam-6145	69	15	robustness	robustness	NOUN
ejpam-6145	69	16	and	and	CCONJ
ejpam-6145	69	17	efficiency	efficiency	NOUN
ejpam-6145	69	18	,	,	PUNCT
ejpam-6145	69	19	particularly	particularly	ADV
ejpam-6145	69	20	for	for	ADP
ejpam-6145	69	21	large	large	ADJ
ejpam-6145	69	22	-	-	PUNCT
ejpam-6145	69	23	scale	scale	NOUN
ejpam-6145	69	24	or	or	CCONJ
ejpam-6145	69	25	noisy	noisy	ADJ
ejpam-6145	69	26	problems	problem	NOUN
ejpam-6145	69	27	.	.	PUNCT
ejpam-6145	70	1	hybrid	hybrid	ADJ
ejpam-6145	70	2	cg	cg	NOUN
ejpam-6145	70	3	methods	method	NOUN
ejpam-6145	70	4	combine	combine	VERB
ejpam-6145	70	5	conjugate	conjugate	ADJ
ejpam-6145	70	6	directions	direction	NOUN
ejpam-6145	70	7	with	with	ADP
ejpam-6145	70	8	quasi	quasi	NOUN
ejpam-6145	70	9	-	-	PROPN
ejpam-6145	70	10	newton	newton	PROPN
ejpam-6145	70	11	updates	update	NOUN
ejpam-6145	70	12	or	or	CCONJ
ejpam-6145	70	13	restart	restart	NOUN
ejpam-6145	70	14	strategies	strategy	NOUN
ejpam-6145	70	15	[	[	X
ejpam-6145	70	16	28	28	NUM
ejpam-6145	70	17	,	,	PUNCT
ejpam-6145	70	18	42	42	NUM
ejpam-6145	70	19	]	]	PUNCT
ejpam-6145	70	20	,	,	PUNCT
ejpam-6145	70	21	while	while	SCONJ
ejpam-6145	70	22	stochastic	stochastic	ADJ
ejpam-6145	70	23	cg	cg	NOUN
ejpam-6145	70	24	techniques	technique	NOUN
ejpam-6145	70	25	address	address	VERB
ejpam-6145	70	26	gradient	gradient	ADJ
ejpam-6145	70	27	uncertainty	uncertainty	NOUN
ejpam-6145	70	28	in	in	ADP
ejpam-6145	70	29	datadriven	datadriven	ADJ
ejpam-6145	70	30	applications	application	NOUN
ejpam-6145	70	31	[	[	X
ejpam-6145	70	32	43	43	NUM
ejpam-6145	70	33	]	]	PUNCT
ejpam-6145	70	34	.	.	PUNCT
ejpam-6145	71	1	moreover	moreover	ADV
ejpam-6145	71	2	,	,	PUNCT
ejpam-6145	71	3	quasi	quasi	ADJ
ejpam-6145	71	4	-	-	NOUN
ejpam-6145	71	5	newton	newton	PROPN
ejpam-6145	71	6	approaches	approach	VERB
ejpam-6145	71	7	such	such	ADJ
ejpam-6145	71	8	as	as	ADP
ejpam-6145	71	9	the	the	DET
ejpam-6145	71	10	limited	limited	ADJ
ejpam-6145	71	11	-	-	PUNCT
ejpam-6145	71	12	memory	memory	NOUN
ejpam-6145	71	13	bfgs	bfg	NOUN
ejpam-6145	71	14	(	(	PUNCT
ejpam-6145	71	15	l	l	NOUN
ejpam-6145	71	16	-	-	ADJ
ejpam-6145	71	17	bfgs	bfgs	ADJ
ejpam-6145	71	18	)	)	PUNCT
ejpam-6145	71	19	method	method	NOUN
ejpam-6145	71	20	[	[	X
ejpam-6145	71	21	44	44	NUM
ejpam-6145	71	22	]	]	PUNCT
ejpam-6145	71	23	are	be	AUX
ejpam-6145	71	24	widely	widely	ADV
ejpam-6145	71	25	used	use	VERB
ejpam-6145	71	26	due	due	ADP
ejpam-6145	71	27	to	to	ADP
ejpam-6145	71	28	their	their	PRON
ejpam-6145	71	29	fast	fast	ADJ
ejpam-6145	71	30	convergence	convergence	NOUN
ejpam-6145	71	31	and	and	CCONJ
ejpam-6145	71	32	low	low	ADJ
ejpam-6145	71	33	memory	memory	NOUN
ejpam-6145	71	34	requirements	requirement	NOUN
ejpam-6145	71	35	.	.	PUNCT
ejpam-6145	72	1	compared	compare	VERB
ejpam-6145	72	2	to	to	ADP
ejpam-6145	72	3	these	these	DET
ejpam-6145	72	4	methods	method	NOUN
ejpam-6145	72	5	,	,	PUNCT
ejpam-6145	72	6	our	our	PRON
ejpam-6145	72	7	approach	approach	NOUN
ejpam-6145	72	8	preserves	preserve	VERB
ejpam-6145	72	9	the	the	DET
ejpam-6145	72	10	simplicity	simplicity	NOUN
ejpam-6145	72	11	and	and	CCONJ
ejpam-6145	72	12	memory	memory	NOUN
ejpam-6145	72	13	efficiency	efficiency	NOUN
ejpam-6145	72	14	of	of	ADP
ejpam-6145	72	15	classical	classical	ADJ
ejpam-6145	72	16	cg	cg	NOUN
ejpam-6145	72	17	methods	method	NOUN
ejpam-6145	72	18	while	while	SCONJ
ejpam-6145	72	19	incorporating	incorporate	VERB
ejpam-6145	72	20	spectral	spectral	ADJ
ejpam-6145	72	21	features	feature	NOUN
ejpam-6145	72	22	that	that	PRON
ejpam-6145	72	23	improve	improve	VERB
ejpam-6145	72	24	convergence	convergence	NOUN
ejpam-6145	72	25	behavior	behavior	NOUN
ejpam-6145	72	26	without	without	ADP
ejpam-6145	72	27	relying	rely	VERB
ejpam-6145	72	28	on	on	ADP
ejpam-6145	72	29	hessian	hessian	ADJ
ejpam-6145	72	30	approximations	approximation	NOUN
ejpam-6145	72	31	or	or	CCONJ
ejpam-6145	72	32	stochastic	stochastic	ADJ
ejpam-6145	72	33	estimates	estimate	NOUN
ejpam-6145	72	34	.	.	PUNCT
ejpam-6145	73	1	in	in	ADP
ejpam-6145	73	2	this	this	DET
ejpam-6145	73	3	paper	paper	NOUN
ejpam-6145	73	4	,	,	PUNCT
ejpam-6145	73	5	we	we	PRON
ejpam-6145	73	6	propose	propose	VERB
ejpam-6145	73	7	a	a	DET
ejpam-6145	73	8	novel	novel	ADJ
ejpam-6145	73	9	spectral	spectral	ADJ
ejpam-6145	73	10	conjugate	conjugate	ADJ
ejpam-6145	73	11	gradient	gradient	NOUN
ejpam-6145	73	12	method	method	NOUN
ejpam-6145	73	13	that	that	PRON
ejpam-6145	73	14	incorporates	incorporate	VERB
ejpam-6145	73	15	a	a	DET
ejpam-6145	73	16	modified	modify	VERB
ejpam-6145	73	17	gradient	gradient	NOUN
ejpam-6145	73	18	and	and	CCONJ
ejpam-6145	73	19	an	an	DET
ejpam-6145	73	20	alternative	alternative	ADJ
ejpam-6145	73	21	search	search	NOUN
ejpam-6145	73	22	direction	direction	NOUN
ejpam-6145	73	23	,	,	PUNCT
ejpam-6145	73	24	as	as	SCONJ
ejpam-6145	73	25	given	give	VERB
ejpam-6145	73	26	by	by	ADP
ejpam-6145	73	27	eq	eq	PROPN
ejpam-6145	73	28	.	.	PUNCT
ejpam-6145	74	1	(	(	PUNCT
ejpam-6145	74	2	12	12	NUM
ejpam-6145	74	3	)	)	PUNCT
ejpam-6145	74	4	.	.	PUNCT
ejpam-6145	75	1	our	our	PRON
ejpam-6145	75	2	method	method	NOUN
ejpam-6145	75	3	ensures	ensure	VERB
ejpam-6145	75	4	that	that	SCONJ
ejpam-6145	75	5	the	the	DET
ejpam-6145	75	6	descent	descent	NOUN
ejpam-6145	75	7	and	and	CCONJ
ejpam-6145	75	8	sufficient	sufficient	ADJ
ejpam-6145	75	9	descent	descent	NOUN
ejpam-6145	75	10	properties	property	NOUN
ejpam-6145	75	11	are	be	AUX
ejpam-6145	75	12	satisfied	satisfied	ADJ
ejpam-6145	75	13	per	per	ADP
ejpam-6145	75	14	iteration	iteration	NOUN
ejpam-6145	75	15	,	,	PUNCT
ejpam-6145	75	16	without	without	ADP
ejpam-6145	75	17	adding	add	VERB
ejpam-6145	75	18	computational	computational	ADJ
ejpam-6145	75	19	overhead	overhead	NOUN
ejpam-6145	75	20	.	.	PUNCT
ejpam-6145	76	1	under	under	ADP
ejpam-6145	76	2	appropriate	appropriate	ADJ
ejpam-6145	76	3	assumptions	assumption	NOUN
ejpam-6145	76	4	,	,	PUNCT
ejpam-6145	76	5	we	we	PRON
ejpam-6145	76	6	establish	establish	VERB
ejpam-6145	76	7	the	the	DET
ejpam-6145	76	8	global	global	ADJ
ejpam-6145	76	9	convergence	convergence	NOUN
ejpam-6145	76	10	of	of	ADP
ejpam-6145	76	11	the	the	DET
ejpam-6145	76	12	proposed	propose	VERB
ejpam-6145	76	13	method	method	NOUN
ejpam-6145	76	14	.	.	PUNCT
ejpam-6145	77	1	the	the	DET
ejpam-6145	77	2	remainder	remainder	NOUN
ejpam-6145	77	3	of	of	ADP
ejpam-6145	77	4	this	this	DET
ejpam-6145	77	5	paper	paper	NOUN
ejpam-6145	77	6	is	be	AUX
ejpam-6145	77	7	organized	organize	VERB
ejpam-6145	77	8	as	as	SCONJ
ejpam-6145	77	9	follows	follow	VERB
ejpam-6145	77	10	.	.	PUNCT
ejpam-6145	78	1	in	in	ADP
ejpam-6145	78	2	section	section	NOUN
ejpam-6145	78	3	2	2	NUM
ejpam-6145	78	4	,	,	PUNCT
ejpam-6145	78	5	we	we	PRON
ejpam-6145	78	6	introduce	introduce	VERB
ejpam-6145	78	7	the	the	DET
ejpam-6145	78	8	proposed	propose	VERB
ejpam-6145	78	9	spectral	spectral	ADJ
ejpam-6145	78	10	conjugate	conjugate	ADJ
ejpam-6145	78	11	gradient	gradient	ADJ
ejpam-6145	78	12	algorithm	algorithm	NOUN
ejpam-6145	78	13	.	.	PUNCT
ejpam-6145	79	1	section	section	NOUN
ejpam-6145	79	2	3	3	NUM
ejpam-6145	79	3	presents	present	VERB
ejpam-6145	79	4	the	the	DET
ejpam-6145	79	5	analysis	analysis	NOUN
ejpam-6145	79	6	of	of	ADP
ejpam-6145	79	7	the	the	DET
ejpam-6145	79	8	sufficient	sufficient	ADJ
ejpam-6145	79	9	descent	descent	NOUN
ejpam-6145	79	10	property	property	NOUN
ejpam-6145	79	11	and	and	CCONJ
ejpam-6145	79	12	the	the	DET
ejpam-6145	79	13	global	global	ADJ
ejpam-6145	79	14	convergence	convergence	NOUN
ejpam-6145	79	15	of	of	ADP
ejpam-6145	79	16	the	the	DET
ejpam-6145	79	17	method	method	NOUN
ejpam-6145	79	18	.	.	PUNCT
ejpam-6145	80	1	in	in	ADP
ejpam-6145	80	2	section	section	NOUN
ejpam-6145	80	3	4	4	NUM
ejpam-6145	80	4	,	,	PUNCT
ejpam-6145	80	5	we	we	PRON
ejpam-6145	80	6	provide	provide	VERB
ejpam-6145	80	7	numerical	numerical	ADJ
ejpam-6145	80	8	experiments	experiment	NOUN
ejpam-6145	80	9	that	that	PRON
ejpam-6145	80	10	compare	compare	VERB
ejpam-6145	80	11	the	the	DET
ejpam-6145	80	12	proposed	propose	VERB
ejpam-6145	80	13	method	method	NOUN
ejpam-6145	80	14	with	with	ADP
ejpam-6145	80	15	the	the	DET
ejpam-6145	80	16	hs	hs	PROPN
ejpam-6145	80	17	-	-	NOUN
ejpam-6145	80	18	cg	cg	NOUN
ejpam-6145	80	19	and	and	CCONJ
ejpam-6145	80	20	b	b	NOUN
ejpam-6145	80	21	-	-	PUNCT
ejpam-6145	80	22	scg	scg	ADJ
ejpam-6145	80	23	methods	method	NOUN
ejpam-6145	80	24	.	.	PUNCT
ejpam-6145	81	1	finally	finally	ADV
ejpam-6145	81	2	,	,	PUNCT
ejpam-6145	81	3	section	section	NOUN
ejpam-6145	81	4	5	5	NUM
ejpam-6145	81	5	summarizes	summarize	NOUN
ejpam-6145	81	6	the	the	DET
ejpam-6145	81	7	main	main	ADJ
ejpam-6145	81	8	contributions	contribution	NOUN
ejpam-6145	81	9	and	and	CCONJ
ejpam-6145	81	10	outlines	outline	VERB
ejpam-6145	81	11	directions	direction	NOUN
ejpam-6145	81	12	for	for	ADP
ejpam-6145	81	13	future	future	ADJ
ejpam-6145	81	14	research	research	NOUN
ejpam-6145	81	15	.	.	PUNCT
ejpam-6145	82	1	2	2	X
ejpam-6145	82	2	.	.	X
ejpam-6145	82	3	the	the	DET
ejpam-6145	82	4	new	new	ADJ
ejpam-6145	82	5	spectral	spectral	ADJ
ejpam-6145	82	6	conjugate	conjugate	ADJ
ejpam-6145	82	7	gradient	gradient	ADJ
ejpam-6145	82	8	algorithm	algorithm	NOUN
ejpam-6145	82	9	in	in	ADP
ejpam-6145	82	10	this	this	DET
ejpam-6145	82	11	section	section	NOUN
ejpam-6145	82	12	,	,	PUNCT
ejpam-6145	82	13	we	we	PRON
ejpam-6145	82	14	introduce	introduce	VERB
ejpam-6145	82	15	a	a	DET
ejpam-6145	82	16	new	new	ADJ
ejpam-6145	82	17	spectral	spectral	ADJ
ejpam-6145	82	18	conjugate	conjugate	ADJ
ejpam-6145	82	19	gradient	gradient	NOUN
ejpam-6145	82	20	(	(	PUNCT
ejpam-6145	82	21	new	new	ADJ
ejpam-6145	82	22	-	-	PUNCT
ejpam-6145	82	23	scg	scg	NOUN
ejpam-6145	82	24	)	)	PUNCT
ejpam-6145	82	25	method	method	NOUN
ejpam-6145	82	26	to	to	PART
ejpam-6145	82	27	solve	solve	VERB
ejpam-6145	82	28	unconstrained	unconstrained	ADJ
ejpam-6145	82	29	optimization	optimization	NOUN
ejpam-6145	82	30	problems	problem	NOUN
ejpam-6145	82	31	of	of	ADP
ejpam-6145	82	32	the	the	DET
ejpam-6145	82	33	form	form	NOUN
ejpam-6145	82	34	(	(	PUNCT
ejpam-6145	82	35	1	1	NUM
ejpam-6145	82	36	)	)	PUNCT
ejpam-6145	82	37	,	,	PUNCT
ejpam-6145	82	38	utilizing	utilize	VERB
ejpam-6145	82	39	a	a	DET
ejpam-6145	82	40	modified	modified	ADJ
ejpam-6145	82	41	gradientdifference	gradientdifference	NOUN
ejpam-6145	82	42	vector	vector	NOUN
ejpam-6145	82	43	inspired	inspire	VERB
ejpam-6145	82	44	by	by	ADP
ejpam-6145	82	45	[	[	X
ejpam-6145	82	46	45	45	NUM
ejpam-6145	82	47	]	]	PUNCT
ejpam-6145	82	48	.	.	PUNCT
ejpam-6145	83	1	we	we	PRON
ejpam-6145	83	2	define	define	VERB
ejpam-6145	83	3	the	the	DET
ejpam-6145	83	4	adjusted	adjust	VERB
ejpam-6145	83	5	gradient	gradient	NOUN
ejpam-6145	83	6	-	-	PUNCT
ejpam-6145	83	7	difference	difference	NOUN
ejpam-6145	83	8	vector	vector	NOUN
ejpam-6145	83	9	as	as	SCONJ
ejpam-6145	83	10	follows	follow	VERB
ejpam-6145	83	11	:	:	PUNCT
ejpam-6145	83	12	y∗k	y∗k	PROPN
ejpam-6145	83	13	=	=	SYM
ejpam-6145	83	14	yk	yk	PROPN
ejpam-6145	83	15	+	+	CCONJ
ejpam-6145	83	16	(	(	PUNCT
ejpam-6145	83	17	0.2−	0.2−	NOUN
ejpam-6145	83	18	ρk	ρk	NOUN
ejpam-6145	83	19	)	)	PUNCT
ejpam-6145	83	20	(	(	PUNCT
ejpam-6145	83	21	1−	1−	NUM
ejpam-6145	83	22	ρk	ρk	NOUN
ejpam-6145	83	23	)	)	PUNCT
ejpam-6145	83	24	·	·	PUNCT
ejpam-6145	83	25	∥vk∥	∥vk∥	NOUN
ejpam-6145	84	1	−	−	NOUN
ejpam-6145	84	2	2	2	NUM
ejpam-6145	84	3	√	√	PROPN
ejpam-6145	84	4	ϵm(1	ϵm(1	PROPN
ejpam-6145	84	5	+	+	ADJ
ejpam-6145	84	6	∥xk+1∥	∥xk+1∥	NOUN
ejpam-6145	84	7	)	)	PUNCT
ejpam-6145	84	8	2	2	NUM
ejpam-6145	84	9	√	√	PROPN
ejpam-6145	84	10	ϵm(1	ϵm(1	PROPN
ejpam-6145	84	11	+	+	ADJ
ejpam-6145	84	12	∥xk+1∥	∥xk+1∥	NOUN
ejpam-6145	84	13	)	)	PUNCT
ejpam-6145	84	14	·	·	PUNCT
ejpam-6145	84	15	yk	yk	PROPN
ejpam-6145	84	16	,	,	PUNCT
ejpam-6145	84	17	(	(	PUNCT
ejpam-6145	84	18	14	14	NUM
ejpam-6145	84	19	)	)	PUNCT
ejpam-6145	84	20	where	where	SCONJ
ejpam-6145	84	21	vk	vk	ADV
ejpam-6145	84	22	=	=	SYM
ejpam-6145	84	23	xk+1	xk+1	PROPN
ejpam-6145	84	24	−	−	PROPN
ejpam-6145	84	25	xk	xk	PROPN
ejpam-6145	84	26	,	,	PUNCT
ejpam-6145	84	27	and	and	CCONJ
ejpam-6145	84	28	yk	yk	PROPN
ejpam-6145	84	29	=	=	PUNCT
ejpam-6145	84	30	gk+1	gk+1	NOUN
ejpam-6145	84	31	−	−	PROPN
ejpam-6145	84	32	gk	gk	PROPN
ejpam-6145	84	33	.	.	PUNCT
ejpam-6145	85	1	here	here	ADV
ejpam-6145	85	2	,	,	PUNCT
ejpam-6145	85	3	0.2	0.2	NUM
ejpam-6145	85	4	<	<	X
ejpam-6145	85	5	ρk	ρk	ADP
ejpam-6145	85	6	<	<	X
ejpam-6145	85	7	1	1	NUM
ejpam-6145	85	8	and	and	CCONJ
ejpam-6145	85	9	ϵm	ϵm	PROPN
ejpam-6145	85	10	represents	represent	VERB
ejpam-6145	85	11	machine	machine	NOUN
ejpam-6145	85	12	precision	precision	NOUN
ejpam-6145	85	13	,	,	PUNCT
ejpam-6145	85	14	typically	typically	ADV
ejpam-6145	85	15	around	around	ADP
ejpam-6145	85	16	10−16	10−16	PROPN
ejpam-6145	85	17	.	.	PUNCT
ejpam-6145	86	1	the	the	DET
ejpam-6145	86	2	new	new	ADJ
ejpam-6145	86	3	search	search	NOUN
ejpam-6145	86	4	direction	direction	NOUN
ejpam-6145	86	5	is	be	AUX
ejpam-6145	86	6	given	give	VERB
ejpam-6145	86	7	by	by	ADP
ejpam-6145	86	8	:	:	PUNCT
ejpam-6145	86	9	dnew	dnew	PROPN
ejpam-6145	86	10	-	-	PUNCT
ejpam-6145	86	11	scg	scg	PROPN
ejpam-6145	86	12	k+1	k+1	X
ejpam-6145	87	1	=	=	X
ejpam-6145	88	1	{	{	PUNCT
ejpam-6145	89	1	−g1	−g1	PROPN
ejpam-6145	89	2	,	,	PUNCT
ejpam-6145	89	3	k	k	PROPN
ejpam-6145	89	4	=	=	SYM
ejpam-6145	89	5	0	0	NUM
ejpam-6145	89	6	,	,	PUNCT
ejpam-6145	89	7	−θkgk+1	−θkgk+1	PUNCT
ejpam-6145	90	1	+	+	CCONJ
ejpam-6145	90	2	βkdk	βkdk	NOUN
ejpam-6145	90	3	,	,	PUNCT
ejpam-6145	90	4	k	k	PROPN
ejpam-6145	90	5	≥	≥	NUM
ejpam-6145	90	6	1	1	NUM
ejpam-6145	90	7	.	.	PUNCT
ejpam-6145	90	8	(	(	PUNCT
ejpam-6145	90	9	15	15	NUM
ejpam-6145	90	10	)	)	PUNCT
ejpam-6145	90	11	where	where	SCONJ
ejpam-6145	90	12	θk	θk	NOUN
ejpam-6145	90	13	is	be	AUX
ejpam-6145	90	14	a	a	DET
ejpam-6145	90	15	spectral	spectral	ADJ
ejpam-6145	90	16	scaling	scaling	NOUN
ejpam-6145	90	17	parameter	parameter	NOUN
ejpam-6145	90	18	,	,	PUNCT
ejpam-6145	90	19	and	and	CCONJ
ejpam-6145	90	20	βk	βk	NOUN
ejpam-6145	90	21	is	be	AUX
ejpam-6145	90	22	a	a	DET
ejpam-6145	90	23	conjugate	conjugate	ADJ
ejpam-6145	90	24	gradient	gradient	NOUN
ejpam-6145	90	25	parameter	parameter	NOUN
ejpam-6145	90	26	.	.	PUNCT
ejpam-6145	91	1	k.	k.	PROPN
ejpam-6145	91	2	j.	j.	PROPN
ejpam-6145	91	3	murad	murad	PROPN
ejpam-6145	91	4	,	,	PUNCT
ejpam-6145	91	5	s.	s.	PROPN
ejpam-6145	91	6	g.	g.	PROPN
ejpam-6145	91	7	shareef	shareef	PROPN
ejpam-6145	91	8	/	/	PUNCT
ejpam-6145	91	9	eur	eur	PROPN
ejpam-6145	91	10	.	.	PUNCT
ejpam-6145	92	1	j.	j.	PROPN
ejpam-6145	92	2	pure	pure	PROPN
ejpam-6145	92	3	appl	appl	PROPN
ejpam-6145	92	4	.	.	PROPN
ejpam-6145	92	5	math	math	PROPN
ejpam-6145	92	6	,	,	PUNCT
ejpam-6145	92	7	18	18	NUM
ejpam-6145	92	8	(	(	PUNCT
ejpam-6145	92	9	3	3	NUM
ejpam-6145	92	10	)	)	PUNCT
ejpam-6145	92	11	(	(	PUNCT
ejpam-6145	92	12	2025	2025	NUM
ejpam-6145	92	13	)	)	PUNCT
ejpam-6145	92	14	,	,	PUNCT
ejpam-6145	92	15	6145	6145	NUM
ejpam-6145	92	16	5	5	NUM
ejpam-6145	92	17	of	of	ADP
ejpam-6145	92	18	17	17	NUM
ejpam-6145	92	19	dai	dai	PROPN
ejpam-6145	92	20	and	and	CCONJ
ejpam-6145	92	21	liao	liao	PROPN
ejpam-6145	93	1	[	[	X
ejpam-6145	93	2	46	46	NUM
ejpam-6145	93	3	]	]	PUNCT
ejpam-6145	93	4	proposed	propose	VERB
ejpam-6145	93	5	the	the	DET
ejpam-6145	93	6	classical	classical	ADJ
ejpam-6145	93	7	conjugacy	conjugacy	ADJ
ejpam-6145	93	8	condition	condition	NOUN
ejpam-6145	93	9	:	:	PUNCT
ejpam-6145	93	10	dtk+1yk	dtk+1yk	PROPN
ejpam-6145	93	11	=	=	SYM
ejpam-6145	93	12	−tgtk+1vk	−tgtk+1vk	PROPN
ejpam-6145	93	13	,	,	PUNCT
ejpam-6145	93	14	where	where	SCONJ
ejpam-6145	93	15	t	t	PROPN
ejpam-6145	93	16	≥	≥	NOUN
ejpam-6145	93	17	0	0	NUM
ejpam-6145	93	18	,	,	PUNCT
ejpam-6145	93	19	(	(	PUNCT
ejpam-6145	93	20	16	16	NUM
ejpam-6145	93	21	)	)	PUNCT
ejpam-6145	93	22	which	which	PRON
ejpam-6145	93	23	we	we	PRON
ejpam-6145	93	24	modify	modify	VERB
ejpam-6145	93	25	by	by	ADP
ejpam-6145	93	26	substituting	substitute	VERB
ejpam-6145	93	27	yk	yk	PROPN
ejpam-6145	93	28	with	with	ADP
ejpam-6145	93	29	y∗k	y∗k	PROPN
ejpam-6145	93	30	,	,	PUNCT
ejpam-6145	93	31	yielding	yield	VERB
ejpam-6145	93	32	:	:	PUNCT
ejpam-6145	93	33	dtk+1yk	dtk+1yk	PROPN
ejpam-6145	93	34	=	=	PUNCT
ejpam-6145	93	35	−tgtk+1vk	−tgtk+1vk	PROPN
ejpam-6145	93	36	1	1	NUM
ejpam-6145	94	1	+	+	NOUN
ejpam-6145	94	2	m1m2	m1m2	X
ejpam-6145	94	3	,	,	PUNCT
ejpam-6145	94	4	(	(	PUNCT
ejpam-6145	94	5	17	17	NUM
ejpam-6145	94	6	)	)	PUNCT
ejpam-6145	94	7	with	with	ADP
ejpam-6145	94	8	:	:	PUNCT
ejpam-6145	94	9	m1	m1	NOUN
ejpam-6145	94	10	=	=	SYM
ejpam-6145	94	11	0.2−	0.2−	NOUN
ejpam-6145	94	12	ρk	ρk	ADP
ejpam-6145	94	13	1−	1−	NUM
ejpam-6145	94	14	ρk	ρk	NOUN
ejpam-6145	94	15	,	,	PUNCT
ejpam-6145	94	16	m2	m2	PROPN
ejpam-6145	94	17	=	=	PROPN
ejpam-6145	94	18	∥vk∥	∥vk∥	NOUN
ejpam-6145	94	19	−	−	NOUN
ejpam-6145	94	20	2	2	NUM
ejpam-6145	94	21	√	√	PROPN
ejpam-6145	94	22	ϵm(1	ϵm(1	PROPN
ejpam-6145	94	23	+	+	ADJ
ejpam-6145	94	24	∥xk+1∥	∥xk+1∥	NOUN
ejpam-6145	94	25	)	)	PUNCT
ejpam-6145	94	26	2	2	NUM
ejpam-6145	94	27	√	√	PROPN
ejpam-6145	94	28	ϵm(1	ϵm(1	PROPN
ejpam-6145	94	29	+	+	ADJ
ejpam-6145	94	30	∥xk+1∥	∥xk+1∥	NOUN
ejpam-6145	94	31	)	)	PUNCT
ejpam-6145	94	32	.	.	PUNCT
ejpam-6145	95	1	(	(	PUNCT
ejpam-6145	95	2	18	18	NUM
ejpam-6145	95	3	)	)	PUNCT
ejpam-6145	95	4	multiplying	multiply	VERB
ejpam-6145	95	5	both	both	DET
ejpam-6145	95	6	sides	side	NOUN
ejpam-6145	95	7	of	of	ADP
ejpam-6145	95	8	eq	eq	PROPN
ejpam-6145	95	9	.	.	PUNCT
ejpam-6145	96	1	(	(	PUNCT
ejpam-6145	96	2	15	15	NUM
ejpam-6145	96	3	)	)	PUNCT
ejpam-6145	96	4	by	by	ADP
ejpam-6145	96	5	yk	yk	PROPN
ejpam-6145	96	6	and	and	CCONJ
ejpam-6145	96	7	using	use	VERB
ejpam-6145	96	8	eq	eq	X
ejpam-6145	96	9	.	.	PUNCT
ejpam-6145	97	1	(	(	PUNCT
ejpam-6145	97	2	17	17	NUM
ejpam-6145	97	3	)	)	PUNCT
ejpam-6145	97	4	,	,	PUNCT
ejpam-6145	97	5	we	we	PRON
ejpam-6145	97	6	define	define	VERB
ejpam-6145	97	7	the	the	DET
ejpam-6145	97	8	spectral	spectral	ADJ
ejpam-6145	97	9	parameter	parameter	NOUN
ejpam-6145	97	10	as	as	ADP
ejpam-6145	97	11	:	:	PUNCT
ejpam-6145	97	12	θk	θk	NOUN
ejpam-6145	97	13	=	=	SYM
ejpam-6145	97	14	βkd	βkd	PROPN
ejpam-6145	98	1	t	t	PROPN
ejpam-6145	98	2	k	k	PROPN
ejpam-6145	98	3	yk	yk	PROPN
ejpam-6145	99	1	+	+	CCONJ
ejpam-6145	99	2	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	99	3	1+m1m2	1+m1m2	NUM
ejpam-6145	99	4	gtk+1yk	gtk+1yk	NOUN
ejpam-6145	99	5	.	.	PUNCT
ejpam-6145	100	1	(	(	PUNCT
ejpam-6145	100	2	19	19	NUM
ejpam-6145	100	3	)	)	PUNCT
ejpam-6145	100	4	in	in	ADP
ejpam-6145	100	5	particular	particular	ADJ
ejpam-6145	100	6	,	,	PUNCT
ejpam-6145	100	7	if	if	SCONJ
ejpam-6145	100	8	we	we	PRON
ejpam-6145	100	9	take	take	VERB
ejpam-6145	100	10	βk	βk	ADV
ejpam-6145	100	11	=	=	PUNCT
ejpam-6145	100	12	βhs	βhs	NOUN
ejpam-6145	100	13	k	k	PROPN
ejpam-6145	100	14	(	(	PUNCT
ejpam-6145	100	15	hestenes	hestene	NOUN
ejpam-6145	100	16	-	-	PUNCT
ejpam-6145	100	17	stiefel	stiefel	NOUN
ejpam-6145	100	18	formula	formula	NOUN
ejpam-6145	100	19	)	)	PUNCT
ejpam-6145	100	20	,	,	PUNCT
ejpam-6145	100	21	then	then	ADV
ejpam-6145	100	22	:	:	PUNCT
ejpam-6145	100	23	θk	θk	NOUN
ejpam-6145	100	24	=	=	SYM
ejpam-6145	100	25	1	1	NUM
ejpam-6145	100	26	+	+	NUM
ejpam-6145	100	27	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	100	28	(	(	PUNCT
ejpam-6145	100	29	1	1	NUM
ejpam-6145	100	30	+	+	NOUN
ejpam-6145	100	31	m1m2)gtk+1yk	m1m2)gtk+1yk	X
ejpam-6145	100	32	.	.	PUNCT
ejpam-6145	101	1	(	(	PUNCT
ejpam-6145	101	2	20	20	NUM
ejpam-6145	101	3	)	)	PUNCT
ejpam-6145	101	4	remark	remark	NOUN
ejpam-6145	101	5	1	1	NUM
ejpam-6145	101	6	.	.	PUNCT
ejpam-6145	102	1	when	when	SCONJ
ejpam-6145	102	2	t	t	NOUN
ejpam-6145	102	3	=	=	SYM
ejpam-6145	102	4	0	0	PROPN
ejpam-6145	102	5	,	,	PUNCT
ejpam-6145	102	6	the	the	DET
ejpam-6145	102	7	proposed	propose	VERB
ejpam-6145	102	8	spectral	spectral	ADJ
ejpam-6145	102	9	parameter	parameter	NOUN
ejpam-6145	102	10	in	in	ADP
ejpam-6145	102	11	eq	eq	ADP
ejpam-6145	102	12	.	.	PUNCT
ejpam-6145	103	1	(	(	PUNCT
ejpam-6145	103	2	20	20	NUM
ejpam-6145	103	3	)	)	PUNCT
ejpam-6145	103	4	reduces	reduce	VERB
ejpam-6145	103	5	to	to	ADP
ejpam-6145	103	6	θk	θk	NOUN
ejpam-6145	103	7	=	=	SYM
ejpam-6145	103	8	1	1	NUM
ejpam-6145	103	9	,	,	PUNCT
ejpam-6145	103	10	which	which	PRON
ejpam-6145	103	11	implies	imply	VERB
ejpam-6145	103	12	that	that	SCONJ
ejpam-6145	103	13	the	the	DET
ejpam-6145	103	14	search	search	NOUN
ejpam-6145	103	15	direction	direction	NOUN
ejpam-6145	103	16	becomes	become	VERB
ejpam-6145	103	17	:	:	PUNCT
ejpam-6145	103	18	dnew	dnew	PROPN
ejpam-6145	103	19	-	-	PUNCT
ejpam-6145	103	20	scg	scg	PROPN
ejpam-6145	103	21	k+1	k+1	X
ejpam-6145	103	22	=	=	SYM
ejpam-6145	103	23	−gk+1	−gk+1	PROPN
ejpam-6145	103	24	+	+	CCONJ
ejpam-6145	103	25	βhs	βhs	NOUN
ejpam-6145	103	26	k	k	PROPN
ejpam-6145	103	27	dk	dk	PROPN
ejpam-6145	103	28	,	,	PUNCT
ejpam-6145	103	29	(	(	PUNCT
ejpam-6145	103	30	21	21	NUM
ejpam-6145	103	31	)	)	PUNCT
ejpam-6145	103	32	i.e.	i.e.	X
ejpam-6145	103	33	,	,	PUNCT
ejpam-6145	103	34	the	the	DET
ejpam-6145	103	35	method	method	NOUN
ejpam-6145	103	36	reduces	reduce	VERB
ejpam-6145	103	37	to	to	ADP
ejpam-6145	103	38	the	the	DET
ejpam-6145	103	39	classical	classical	ADJ
ejpam-6145	103	40	hs	hs	PROPN
ejpam-6145	103	41	conjugate	conjugate	ADJ
ejpam-6145	103	42	gradient	gradient	NOUN
ejpam-6145	103	43	method	method	NOUN
ejpam-6145	103	44	.	.	PUNCT
ejpam-6145	104	1	therefore	therefore	ADV
ejpam-6145	104	2	,	,	PUNCT
ejpam-6145	104	3	the	the	DET
ejpam-6145	104	4	proposed	propose	VERB
ejpam-6145	104	5	algorithm	algorithm	NOUN
ejpam-6145	104	6	can	can	AUX
ejpam-6145	104	7	be	be	AUX
ejpam-6145	104	8	seen	see	VERB
ejpam-6145	104	9	as	as	ADP
ejpam-6145	104	10	a	a	DET
ejpam-6145	104	11	spectral	spectral	ADJ
ejpam-6145	104	12	extension	extension	NOUN
ejpam-6145	104	13	of	of	ADP
ejpam-6145	104	14	the	the	DET
ejpam-6145	104	15	hs	hs	PROPN
ejpam-6145	104	16	method	method	PROPN
ejpam-6145	104	17	.	.	PUNCT
ejpam-6145	105	1	based	base	VERB
ejpam-6145	105	2	on	on	ADP
ejpam-6145	105	3	the	the	DET
ejpam-6145	105	4	above	above	ADJ
ejpam-6145	105	5	analysis	analysis	NOUN
ejpam-6145	105	6	,	,	PUNCT
ejpam-6145	105	7	we	we	PRON
ejpam-6145	105	8	propose	propose	VERB
ejpam-6145	105	9	the	the	DET
ejpam-6145	105	10	following	follow	VERB
ejpam-6145	105	11	algorithm	algorithm	NOUN
ejpam-6145	105	12	:	:	PUNCT
ejpam-6145	105	13	k.	k.	PROPN
ejpam-6145	105	14	j.	j.	PROPN
ejpam-6145	105	15	murad	murad	PROPN
ejpam-6145	105	16	,	,	PUNCT
ejpam-6145	105	17	s.	s.	PROPN
ejpam-6145	105	18	g.	g.	PROPN
ejpam-6145	105	19	shareef	shareef	PROPN
ejpam-6145	105	20	/	/	PUNCT
ejpam-6145	105	21	eur	eur	PROPN
ejpam-6145	105	22	.	.	PUNCT
ejpam-6145	106	1	j.	j.	PROPN
ejpam-6145	106	2	pure	pure	PROPN
ejpam-6145	106	3	appl	appl	PROPN
ejpam-6145	106	4	.	.	PROPN
ejpam-6145	106	5	math	math	PROPN
ejpam-6145	106	6	,	,	PUNCT
ejpam-6145	106	7	18	18	NUM
ejpam-6145	106	8	(	(	PUNCT
ejpam-6145	106	9	3	3	NUM
ejpam-6145	106	10	)	)	PUNCT
ejpam-6145	106	11	(	(	PUNCT
ejpam-6145	106	12	2025	2025	NUM
ejpam-6145	106	13	)	)	PUNCT
ejpam-6145	106	14	,	,	PUNCT
ejpam-6145	106	15	6145	6145	NUM
ejpam-6145	106	16	6	6	NUM
ejpam-6145	106	17	of	of	ADP
ejpam-6145	106	18	17	17	NUM
ejpam-6145	106	19	algorithm	algorithm	NOUN
ejpam-6145	106	20	1	1	NUM
ejpam-6145	106	21	new	new	ADJ
ejpam-6145	106	22	spectral	spectral	ADJ
ejpam-6145	106	23	conjugate	conjugate	ADJ
ejpam-6145	106	24	gradient	gradient	ADJ
ejpam-6145	106	25	algorithm	algorithm	NOUN
ejpam-6145	106	26	1	1	NUM
ejpam-6145	106	27	:	:	PUNCT
ejpam-6145	106	28	input	input	NOUN
ejpam-6145	106	29	:	:	PUNCT
ejpam-6145	106	30	initial	initial	ADJ
ejpam-6145	106	31	guess	guess	NOUN
ejpam-6145	106	32	x0	x0	PROPN
ejpam-6145	106	33	,	,	PUNCT
ejpam-6145	106	34	tolerance	tolerance	NOUN
ejpam-6145	106	35	ϵ	ϵ	NOUN
ejpam-6145	106	36	,	,	PUNCT
ejpam-6145	106	37	parameters	parameter	NOUN
ejpam-6145	106	38	t	t	PROPN
ejpam-6145	106	39	≥	≥	NUM
ejpam-6145	106	40	0	0	NUM
ejpam-6145	106	41	,	,	PUNCT
ejpam-6145	106	42	0.2	0.2	NUM
ejpam-6145	106	43	<	<	X
ejpam-6145	106	44	ρk	ρk	ADP
ejpam-6145	106	45	<	<	X
ejpam-6145	106	46	1	1	NUM
ejpam-6145	106	47	2	2	NUM
ejpam-6145	106	48	:	:	PUNCT
ejpam-6145	106	49	compute	compute	NOUN
ejpam-6145	106	50	g0	g0	NOUN
ejpam-6145	106	51	=	=	PROPN
ejpam-6145	106	52	∇f(x0	∇f(x0	PROPN
ejpam-6145	106	53	)	)	PUNCT
ejpam-6145	106	54	,	,	PUNCT
ejpam-6145	106	55	set	set	VERB
ejpam-6145	106	56	d0	d0	NOUN
ejpam-6145	106	57	=	=	SYM
ejpam-6145	106	58	−g0	−g0	PROPN
ejpam-6145	106	59	,	,	PUNCT
ejpam-6145	106	60	k	k	PROPN
ejpam-6145	107	1	=	=	SYM
ejpam-6145	107	2	0	0	NUM
ejpam-6145	107	3	3	3	NUM
ejpam-6145	107	4	:	:	PUNCT
ejpam-6145	107	5	while	while	SCONJ
ejpam-6145	107	6	∥gk∥	∥gk∥	PROPN
ejpam-6145	107	7	>	>	X
ejpam-6145	108	1	ϵ	ϵ	X
ejpam-6145	108	2	do	do	VERB
ejpam-6145	108	3	4	4	NUM
ejpam-6145	108	4	:	:	PUNCT
ejpam-6145	108	5	if	if	SCONJ
ejpam-6145	108	6	∥gk∥	∥gk∥	NUM
ejpam-6145	108	7	=	=	SYM
ejpam-6145	108	8	0	0	NUM
ejpam-6145	108	9	,	,	PUNCT
ejpam-6145	108	10	then	then	ADV
ejpam-6145	108	11	stop	stop	VERB
ejpam-6145	108	12	;	;	PUNCT
ejpam-6145	108	13	otherwise	otherwise	ADV
ejpam-6145	108	14	,	,	PUNCT
ejpam-6145	108	15	proceed	proceed	VERB
ejpam-6145	108	16	to	to	PART
ejpam-6145	108	17	step	step	VERB
ejpam-6145	108	18	5	5	NUM
ejpam-6145	108	19	.	.	NOUN
ejpam-6145	109	1	5	5	NUM
ejpam-6145	109	2	:	:	PUNCT
ejpam-6145	109	3	compute	compute	VERB
ejpam-6145	109	4	the	the	DET
ejpam-6145	109	5	step	step	NOUN
ejpam-6145	109	6	size	size	NOUN
ejpam-6145	109	7	αk	αk	NOUN
ejpam-6145	109	8	by	by	ADP
ejpam-6145	109	9	minimizing	minimize	VERB
ejpam-6145	109	10	f(xk	f(xk	PROPN
ejpam-6145	109	11	+	+	CCONJ
ejpam-6145	109	12	αkdk	αkdk	NOUN
ejpam-6145	109	13	)	)	PUNCT
ejpam-6145	109	14	.	.	PUNCT
ejpam-6145	110	1	6	6	NUM
ejpam-6145	110	2	:	:	PUNCT
ejpam-6145	110	3	xk+1	xk+1	PROPN
ejpam-6145	110	4	=	=	SYM
ejpam-6145	110	5	xk	xk	PROPN
ejpam-6145	111	1	+	+	CCONJ
ejpam-6145	111	2	αkdk	αkdk	NOUN
ejpam-6145	111	3	7	7	NUM
ejpam-6145	111	4	:	:	PUNCT
ejpam-6145	111	5	gk+1	gk+1	NOUN
ejpam-6145	111	6	=	=	SYM
ejpam-6145	111	7	∇f(xk+1	∇f(xk+1	ADP
ejpam-6145	111	8	)	)	PUNCT
ejpam-6145	111	9	8	8	NUM
ejpam-6145	111	10	:	:	PUNCT
ejpam-6145	111	11	yk	yk	NOUN
ejpam-6145	111	12	=	=	PUNCT
ejpam-6145	111	13	gk+1	gk+1	NOUN
ejpam-6145	111	14	−	−	PROPN
ejpam-6145	111	15	gk	gk	PROPN
ejpam-6145	111	16	,	,	PUNCT
ejpam-6145	111	17	vk	vk	X
ejpam-6145	111	18	=	=	SYM
ejpam-6145	111	19	xk+1	xk+1	PROPN
ejpam-6145	111	20	−	−	PROPN
ejpam-6145	111	21	xk	xk	PROPN
ejpam-6145	111	22	9	9	NUM
ejpam-6145	111	23	:	:	PUNCT
ejpam-6145	111	24	m1	m1	PROPN
ejpam-6145	111	25	=	=	SYM
ejpam-6145	111	26	(	(	PUNCT
ejpam-6145	111	27	0.2−ρk	0.2−ρk	NUM
ejpam-6145	111	28	)	)	PUNCT
ejpam-6145	111	29	(	(	PUNCT
ejpam-6145	111	30	1−ρk	1−ρk	NUM
ejpam-6145	111	31	)	)	PUNCT
ejpam-6145	111	32	10	10	NUM
ejpam-6145	111	33	:	:	PUNCT
ejpam-6145	111	34	m2	m2	PROPN
ejpam-6145	111	35	=	=	SYM
ejpam-6145	111	36	∥vk∥−2	∥vk∥−2	PROPN
ejpam-6145	111	37	√	√	NUM
ejpam-6145	111	38	ϵm(1+∥xk+1∥	ϵm(1+∥xk+1∥	PROPN
ejpam-6145	111	39	)	)	PUNCT
ejpam-6145	111	40	2	2	NUM
ejpam-6145	111	41	√	√	PROPN
ejpam-6145	111	42	ϵm(1+∥xk+1∥	ϵm(1+∥xk+1∥	PROPN
ejpam-6145	111	43	)	)	PUNCT
ejpam-6145	111	44	11	11	NUM
ejpam-6145	111	45	:	:	PUNCT
ejpam-6145	111	46	βk	βk	NOUN
ejpam-6145	111	47	=	=	PUNCT
ejpam-6145	111	48	gtk+1yk	gtk+1yk	NOUN
ejpam-6145	111	49	ytk	ytk	NOUN
ejpam-6145	111	50	dk	dk	PROPN
ejpam-6145	111	51	12	12	NUM
ejpam-6145	111	52	:	:	PUNCT
ejpam-6145	111	53	θk	θk	NOUN
ejpam-6145	111	54	=	=	SYM
ejpam-6145	111	55	1	1	NUM
ejpam-6145	112	1	+	+	NUM
ejpam-6145	112	2	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	112	3	(	(	PUNCT
ejpam-6145	112	4	1+m1m2)gtk+1yk	1+m1m2)gtk+1yk	NUM
ejpam-6145	112	5	13	13	NUM
ejpam-6145	112	6	:	:	PUNCT
ejpam-6145	112	7	dk+1	dk+1	NOUN
ejpam-6145	112	8	=	=	SYM
ejpam-6145	112	9	−θkgk+1	−θkgk+1	X
ejpam-6145	112	10	+	+	CCONJ
ejpam-6145	112	11	βkdk	βkdk	ADJ
ejpam-6145	112	12	14	14	NUM
ejpam-6145	112	13	:	:	PUNCT
ejpam-6145	112	14	if	if	SCONJ
ejpam-6145	112	15	∥gk+1∥2	∥gk+1∥2	ADJ
ejpam-6145	112	16	≤	≤	NUM
ejpam-6145	112	17	|gtk	|gtk	NOUN
ejpam-6145	112	18	gk+1|/0.2	gk+1|/0.2	NOUN
ejpam-6145	112	19	,	,	PUNCT
ejpam-6145	112	20	go	go	VERB
ejpam-6145	112	21	to	to	PART
ejpam-6145	112	22	step	step	VERB
ejpam-6145	112	23	4	4	NUM
ejpam-6145	112	24	;	;	PUNCT
ejpam-6145	112	25	otherwise	otherwise	ADV
ejpam-6145	112	26	,	,	PUNCT
ejpam-6145	112	27	set	set	VERB
ejpam-6145	112	28	k	k	PROPN
ejpam-6145	112	29	=	=	PUNCT
ejpam-6145	113	1	k	k	PROPN
ejpam-6145	114	1	+	+	CCONJ
ejpam-6145	114	2	1	1	NUM
ejpam-6145	114	3	and	and	CCONJ
ejpam-6145	114	4	repeat	repeat	VERB
ejpam-6145	114	5	step	step	NOUN
ejpam-6145	114	6	5	5	NUM
ejpam-6145	114	7	.	.	NOUN
ejpam-6145	114	8	15	15	NUM
ejpam-6145	114	9	:	:	PUNCT
ejpam-6145	114	10	end	end	VERB
ejpam-6145	114	11	while	while	SCONJ
ejpam-6145	114	12	16	16	NUM
ejpam-6145	114	13	:	:	PUNCT
ejpam-6145	114	14	output	output	NOUN
ejpam-6145	114	15	:	:	PUNCT
ejpam-6145	114	16	xk	xk	PROPN
ejpam-6145	114	17	3	3	X
ejpam-6145	114	18	.	.	PUNCT
ejpam-6145	114	19	algorithm	algorithm	PROPN
ejpam-6145	114	20	characteristics	characteristic	NOUN
ejpam-6145	114	21	this	this	DET
ejpam-6145	114	22	section	section	NOUN
ejpam-6145	114	23	discusses	discuss	VERB
ejpam-6145	114	24	the	the	DET
ejpam-6145	114	25	descent	descent	NOUN
ejpam-6145	114	26	properties	property	NOUN
ejpam-6145	114	27	,	,	PUNCT
ejpam-6145	114	28	sufficient	sufficient	ADJ
ejpam-6145	114	29	descent	descent	NOUN
ejpam-6145	114	30	conditions	condition	NOUN
ejpam-6145	114	31	,	,	PUNCT
ejpam-6145	114	32	and	and	CCONJ
ejpam-6145	114	33	global	global	ADJ
ejpam-6145	114	34	convergence	convergence	NOUN
ejpam-6145	114	35	of	of	ADP
ejpam-6145	114	36	the	the	DET
ejpam-6145	114	37	proposed	propose	VERB
ejpam-6145	114	38	algorithm	algorithm	NOUN
ejpam-6145	114	39	.	.	PUNCT
ejpam-6145	115	1	theorem	theorem	VERB
ejpam-6145	115	2	1	1	NUM
ejpam-6145	115	3	:	:	PUNCT
ejpam-6145	115	4	if	if	SCONJ
ejpam-6145	115	5	the	the	DET
ejpam-6145	115	6	search	search	NOUN
ejpam-6145	115	7	direction	direction	NOUN
ejpam-6145	115	8	dk+1	dk+1	NOUN
ejpam-6145	115	9	is	be	AUX
ejpam-6145	115	10	generated	generate	VERB
ejpam-6145	115	11	by	by	ADP
ejpam-6145	115	12	equation	equation	NOUN
ejpam-6145	115	13	(	(	PUNCT
ejpam-6145	115	14	15	15	NUM
ejpam-6145	115	15	)	)	PUNCT
ejpam-6145	115	16	,	,	PUNCT
ejpam-6145	115	17	where	where	SCONJ
ejpam-6145	115	18	βk	βk	NOUN
ejpam-6145	115	19	is	be	AUX
ejpam-6145	115	20	defined	define	VERB
ejpam-6145	115	21	by	by	ADP
ejpam-6145	115	22	equation	equation	NOUN
ejpam-6145	115	23	(	(	PUNCT
ejpam-6145	115	24	6	6	NUM
ejpam-6145	115	25	)	)	PUNCT
ejpam-6145	115	26	and	and	CCONJ
ejpam-6145	115	27	the	the	DET
ejpam-6145	115	28	spectral	spectral	ADJ
ejpam-6145	115	29	parameter	parameter	NOUN
ejpam-6145	115	30	θk	θk	PROPN
ejpam-6145	115	31	is	be	AUX
ejpam-6145	115	32	given	give	VERB
ejpam-6145	115	33	by	by	ADP
ejpam-6145	115	34	equation	equation	NOUN
ejpam-6145	115	35	(	(	PUNCT
ejpam-6145	115	36	20	20	NUM
ejpam-6145	115	37	)	)	PUNCT
ejpam-6145	115	38	,	,	PUNCT
ejpam-6145	115	39	then	then	ADV
ejpam-6145	115	40	:	:	PUNCT
ejpam-6145	115	41	gtk+1dk+1	gtk+1dk+1	VERB
ejpam-6145	115	42	≤	≤	NUM
ejpam-6145	115	43	0	0	NUM
ejpam-6145	115	44	.	.	PUNCT
ejpam-6145	116	1	(	(	PUNCT
ejpam-6145	116	2	22	22	NUM
ejpam-6145	116	3	)	)	PUNCT
ejpam-6145	116	4	proof	proof	NOUN
ejpam-6145	116	5	:	:	PUNCT
ejpam-6145	116	6	by	by	ADP
ejpam-6145	116	7	multiplying	multiply	VERB
ejpam-6145	116	8	both	both	DET
ejpam-6145	116	9	sides	side	NOUN
ejpam-6145	116	10	of	of	ADP
ejpam-6145	116	11	equation	equation	NOUN
ejpam-6145	116	12	(	(	PUNCT
ejpam-6145	116	13	15	15	NUM
ejpam-6145	116	14	)	)	PUNCT
ejpam-6145	116	15	by	by	ADP
ejpam-6145	116	16	gk+1	gk+1	NOUN
ejpam-6145	116	17	,	,	PUNCT
ejpam-6145	116	18	we	we	PRON
ejpam-6145	116	19	obtain	obtain	VERB
ejpam-6145	116	20	:	:	PUNCT
ejpam-6145	116	21	gtk+1dk+1	gtk+1dk+1	X
ejpam-6145	116	22	=	=	PUNCT
ejpam-6145	117	1	−	−	PROPN
ejpam-6145	117	2	(	(	PUNCT
ejpam-6145	117	3	1	1	NUM
ejpam-6145	117	4	+	+	CCONJ
ejpam-6145	117	5	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	117	6	(	(	PUNCT
ejpam-6145	117	7	1	1	NUM
ejpam-6145	117	8	+	+	NOUN
ejpam-6145	117	9	m1m2)gtk+1yk	m1m2)gtk+1yk	NOUN
ejpam-6145	117	10	)	)	PUNCT
ejpam-6145	117	11	gtk+1gk+1	gtk+1gk+1	VERB
ejpam-6145	118	1	+	+	CCONJ
ejpam-6145	118	2	gtk+1yk	gtk+1yk	PROPN
ejpam-6145	118	3	dtk	dtk	PROPN
ejpam-6145	118	4	yk	yk	PROPN
ejpam-6145	118	5	gtk+1dk	gtk+1dk	PROPN
ejpam-6145	118	6	.	.	PUNCT
ejpam-6145	119	1	(	(	PUNCT
ejpam-6145	119	2	23	23	X
ejpam-6145	119	3	)	)	PUNCT
ejpam-6145	119	4	simplifying	simplify	VERB
ejpam-6145	119	5	this	this	DET
ejpam-6145	119	6	expression	expression	NOUN
ejpam-6145	119	7	,	,	PUNCT
ejpam-6145	119	8	we	we	PRON
ejpam-6145	119	9	get	get	VERB
ejpam-6145	119	10	:	:	PUNCT
ejpam-6145	119	11	gtk+1dk+1	gtk+1dk+1	NOUN
ejpam-6145	119	12	=	=	PUNCT
ejpam-6145	119	13	−gtk+1gk+1	−gtk+1gk+1	ADJ
ejpam-6145	120	1	+	+	CCONJ
ejpam-6145	121	1	gtk+1yk	gtk+1yk	PROPN
ejpam-6145	121	2	dtk	dtk	PROPN
ejpam-6145	121	3	yk	yk	PROPN
ejpam-6145	121	4	gtk+1dk	gtk+1dk	PROPN
ejpam-6145	121	5	−	−	PROPN
ejpam-6145	121	6	tgtk+1vkg	tgtk+1vkg	NOUN
ejpam-6145	121	7	t	t	NOUN
ejpam-6145	121	8	k+1gk+1	k+1gk+1	NOUN
ejpam-6145	121	9	(	(	PUNCT
ejpam-6145	121	10	1	1	NUM
ejpam-6145	121	11	+	+	NOUN
ejpam-6145	121	12	m1m2)gtk+1yk	m1m2)gtk+1yk	X
ejpam-6145	121	13	.	.	PUNCT
ejpam-6145	122	1	(	(	PUNCT
ejpam-6145	122	2	24	24	NUM
ejpam-6145	122	3	)	)	PUNCT
ejpam-6145	122	4	in	in	ADP
ejpam-6145	122	5	the	the	DET
ejpam-6145	122	6	case	case	NOUN
ejpam-6145	122	7	of	of	ADP
ejpam-6145	122	8	an	an	DET
ejpam-6145	122	9	exact	exact	ADJ
ejpam-6145	122	10	search	search	NOUN
ejpam-6145	122	11	direction	direction	NOUN
ejpam-6145	122	12	,	,	PUNCT
ejpam-6145	122	13	the	the	DET
ejpam-6145	122	14	descent	descent	NOUN
ejpam-6145	122	15	condition	condition	NOUN
ejpam-6145	122	16	is	be	AUX
ejpam-6145	122	17	satisfied	satisfied	ADJ
ejpam-6145	122	18	:	:	PUNCT
ejpam-6145	122	19	gtk+1dk+1	gtk+1dk+1	VERB
ejpam-6145	122	20	=	=	SYM
ejpam-6145	122	21	−∥gk+1∥2	−∥gk+1∥2	ADJ
ejpam-6145	122	22	≤	≤	NOUN
ejpam-6145	122	23	0	0	NUM
ejpam-6145	122	24	.	.	PUNCT
ejpam-6145	123	1	(	(	PUNCT
ejpam-6145	123	2	25	25	NUM
ejpam-6145	123	3	)	)	PUNCT
ejpam-6145	123	4	k.	k.	PROPN
ejpam-6145	123	5	j.	j.	PROPN
ejpam-6145	123	6	murad	murad	PROPN
ejpam-6145	123	7	,	,	PUNCT
ejpam-6145	123	8	s.	s.	PROPN
ejpam-6145	123	9	g.	g.	PROPN
ejpam-6145	123	10	shareef	shareef	PROPN
ejpam-6145	123	11	/	/	PUNCT
ejpam-6145	123	12	eur	eur	PROPN
ejpam-6145	123	13	.	.	PUNCT
ejpam-6145	124	1	j.	j.	PROPN
ejpam-6145	124	2	pure	pure	PROPN
ejpam-6145	124	3	appl	appl	PROPN
ejpam-6145	124	4	.	.	PROPN
ejpam-6145	124	5	math	math	PROPN
ejpam-6145	124	6	,	,	PUNCT
ejpam-6145	124	7	18	18	NUM
ejpam-6145	124	8	(	(	PUNCT
ejpam-6145	124	9	3	3	NUM
ejpam-6145	124	10	)	)	PUNCT
ejpam-6145	124	11	(	(	PUNCT
ejpam-6145	124	12	2025	2025	NUM
ejpam-6145	124	13	)	)	PUNCT
ejpam-6145	124	14	,	,	PUNCT
ejpam-6145	124	15	6145	6145	NUM
ejpam-6145	124	16	7	7	NUM
ejpam-6145	124	17	of	of	ADP
ejpam-6145	124	18	17	17	NUM
ejpam-6145	124	19	for	for	ADP
ejpam-6145	124	20	an	an	DET
ejpam-6145	124	21	inexact	inexact	ADJ
ejpam-6145	124	22	search	search	NOUN
ejpam-6145	124	23	direction	direction	NOUN
ejpam-6145	124	24	(	(	PUNCT
ejpam-6145	124	25	gtk+1dk	gtk+1dk	PROPN
ejpam-6145	124	26	̸=	̸=	PROPN
ejpam-6145	124	27	0	0	NUM
ejpam-6145	124	28	)	)	PUNCT
ejpam-6145	124	29	,	,	PUNCT
ejpam-6145	124	30	we	we	PRON
ejpam-6145	124	31	use	use	VERB
ejpam-6145	124	32	the	the	DET
ejpam-6145	124	33	following	follow	VERB
ejpam-6145	124	34	inequalities	inequality	NOUN
ejpam-6145	124	35	:	:	PUNCT
ejpam-6145	124	36	gtk+1vk	gtk+1vk	PROPN
ejpam-6145	124	37	≤	≤	NUM
ejpam-6145	124	38	vtk	vtk	PROPN
ejpam-6145	124	39	yk	yk	PROPN
ejpam-6145	124	40	,	,	PUNCT
ejpam-6145	124	41	gtk+1yk	gtk+1yk	ADJ
ejpam-6145	124	42	≤	≤	NUM
ejpam-6145	124	43	∥gk+1∥∥yk∥.	∥gk+1∥∥yk∥.	NOUN
ejpam-6145	124	44	(	(	PUNCT
ejpam-6145	124	45	26	26	NUM
ejpam-6145	124	46	)	)	PUNCT
ejpam-6145	124	47	from	from	ADP
ejpam-6145	124	48	these	these	PRON
ejpam-6145	124	49	,	,	PUNCT
ejpam-6145	124	50	we	we	PRON
ejpam-6145	124	51	derive	derive	VERB
ejpam-6145	124	52	:	:	PUNCT
ejpam-6145	124	53	gtk+1dk+1	gtk+1dk+1	NUM
ejpam-6145	124	54	≤	≤	NUM
ejpam-6145	125	1	−	−	ADP
ejpam-6145	126	1	(	(	PUNCT
ejpam-6145	126	2	1−	1−	NUM
ejpam-6145	126	3	∥yk∥	∥yk∥	NUM
ejpam-6145	126	4	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	126	5	)	)	PUNCT
ejpam-6145	126	6	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-6145	126	7	−	−	PROPN
ejpam-6145	127	1	(	(	PUNCT
ejpam-6145	127	2	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	127	3	(	(	PUNCT
ejpam-6145	127	4	1	1	NUM
ejpam-6145	127	5	+	+	NOUN
ejpam-6145	127	6	m1m2)gtk+1yk	m1m2)gtk+1yk	NOUN
ejpam-6145	127	7	)	)	PUNCT
ejpam-6145	127	8	gtk+1gk+1	gtk+1gk+1	PROPN
ejpam-6145	127	9	.	.	PUNCT
ejpam-6145	127	10	(	(	PUNCT
ejpam-6145	127	11	27	27	NUM
ejpam-6145	127	12	)	)	PUNCT
ejpam-6145	127	13	since	since	SCONJ
ejpam-6145	127	14	0	0	NUM
ejpam-6145	127	15	≤	≤	NUM
ejpam-6145	127	16	∥yk∥	∥yk∥	PUNCT
ejpam-6145	127	17	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	127	18	≤	≤	NUM
ejpam-6145	127	19	1	1	NUM
ejpam-6145	127	20	and	and	CCONJ
ejpam-6145	127	21	using	use	VERB
ejpam-6145	127	22	the	the	DET
ejpam-6145	127	23	inequalities	inequality	NOUN
ejpam-6145	127	24	in	in	ADP
ejpam-6145	127	25	(	(	PUNCT
ejpam-6145	127	26	26	26	NUM
ejpam-6145	127	27	)	)	PUNCT
ejpam-6145	127	28	,	,	PUNCT
ejpam-6145	127	29	we	we	PRON
ejpam-6145	127	30	can	can	AUX
ejpam-6145	127	31	rewrite	rewrite	VERB
ejpam-6145	127	32	equation	equation	NOUN
ejpam-6145	127	33	(	(	PUNCT
ejpam-6145	127	34	27	27	NUM
ejpam-6145	127	35	)	)	PUNCT
ejpam-6145	127	36	as	as	ADP
ejpam-6145	127	37	:	:	PUNCT
ejpam-6145	127	38	gtk+1dk+1	gtk+1dk+1	NUM
ejpam-6145	127	39	≤	≤	NUM
ejpam-6145	127	40	−	−	NOUN
ejpam-6145	127	41	tvtk	tvtk	PROPN
ejpam-6145	127	42	yk∥gk+1∥	yk∥gk+1∥	PROPN
ejpam-6145	127	43	(	(	PUNCT
ejpam-6145	127	44	1	1	NUM
ejpam-6145	127	45	+	+	NOUN
ejpam-6145	127	46	m1m2)∥yk∥	m1m2)∥yk∥	X
ejpam-6145	127	47	.	.	PUNCT
ejpam-6145	128	1	(	(	PUNCT
ejpam-6145	128	2	28	28	NUM
ejpam-6145	128	3	)	)	PUNCT
ejpam-6145	128	4	since	since	SCONJ
ejpam-6145	128	5	t	t	PROPN
ejpam-6145	128	6	,	,	PUNCT
ejpam-6145	128	7	vtk	vtk	PROPN
ejpam-6145	128	8	yk	yk	PROPN
ejpam-6145	128	9	,	,	PUNCT
ejpam-6145	128	10	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	128	11	,	,	PUNCT
ejpam-6145	128	12	and	and	CCONJ
ejpam-6145	128	13	∥yk∥	∥yk∥	PRON
ejpam-6145	128	14	are	be	AUX
ejpam-6145	128	15	non	non	ADJ
ejpam-6145	128	16	-	-	ADJ
ejpam-6145	128	17	negative	negative	ADJ
ejpam-6145	128	18	,	,	PUNCT
ejpam-6145	128	19	and	and	CCONJ
ejpam-6145	128	20	m1	m1	PROPN
ejpam-6145	128	21	<	<	X
ejpam-6145	128	22	0	0	PROPN
ejpam-6145	128	23	,	,	PUNCT
ejpam-6145	128	24	m2	m2	PROPN
ejpam-6145	128	25	<	<	X
ejpam-6145	128	26	0	0	PUNCT
ejpam-6145	128	27	imply	imply	VERB
ejpam-6145	128	28	that	that	SCONJ
ejpam-6145	128	29	m1m2	m1m2	AUX
ejpam-6145	128	30	>	>	X
ejpam-6145	128	31	0	0	NUM
ejpam-6145	128	32	,	,	PUNCT
ejpam-6145	128	33	it	it	PRON
ejpam-6145	128	34	follows	follow	VERB
ejpam-6145	128	35	that	that	PRON
ejpam-6145	128	36	:	:	PUNCT
ejpam-6145	128	37	gtk+1dk+1	gtk+1dk+1	VERB
ejpam-6145	128	38	≤	≤	NUM
ejpam-6145	128	39	0	0	NUM
ejpam-6145	128	40	.	.	PUNCT
ejpam-6145	129	1	(	(	PUNCT
ejpam-6145	129	2	29	29	NUM
ejpam-6145	129	3	)	)	PUNCT
ejpam-6145	129	4	this	this	PRON
ejpam-6145	129	5	completes	complete	VERB
ejpam-6145	129	6	the	the	DET
ejpam-6145	129	7	proof	proof	NOUN
ejpam-6145	129	8	.	.	PUNCT
ejpam-6145	130	1	theorem	theorem	NOUN
ejpam-6145	130	2	2	2	NUM
ejpam-6145	130	3	:	:	PUNCT
ejpam-6145	130	4	the	the	DET
ejpam-6145	130	5	search	search	NOUN
ejpam-6145	130	6	direction	direction	NOUN
ejpam-6145	130	7	dk+1	dk+1	NOUN
ejpam-6145	130	8	,	,	PUNCT
ejpam-6145	130	9	defined	define	VERB
ejpam-6145	130	10	by	by	ADP
ejpam-6145	130	11	equation	equation	NOUN
ejpam-6145	130	12	(	(	PUNCT
ejpam-6145	130	13	15	15	NUM
ejpam-6145	130	14	)	)	PUNCT
ejpam-6145	130	15	,	,	PUNCT
ejpam-6145	130	16	where	where	SCONJ
ejpam-6145	130	17	βk	βk	NOUN
ejpam-6145	130	18	is	be	AUX
ejpam-6145	130	19	from	from	ADP
ejpam-6145	130	20	equation	equation	NOUN
ejpam-6145	130	21	(	(	PUNCT
ejpam-6145	130	22	6	6	NUM
ejpam-6145	130	23	)	)	PUNCT
ejpam-6145	130	24	and	and	CCONJ
ejpam-6145	130	25	the	the	DET
ejpam-6145	130	26	spectral	spectral	ADJ
ejpam-6145	130	27	parameter	parameter	NOUN
ejpam-6145	130	28	θk	θk	PROPN
ejpam-6145	130	29	is	be	AUX
ejpam-6145	130	30	given	give	VERB
ejpam-6145	130	31	by	by	ADP
ejpam-6145	130	32	equation	equation	NOUN
ejpam-6145	130	33	(	(	PUNCT
ejpam-6145	130	34	20	20	NUM
ejpam-6145	130	35	)	)	PUNCT
ejpam-6145	130	36	,	,	PUNCT
ejpam-6145	130	37	satisfies	satisfy	VERB
ejpam-6145	130	38	:	:	PUNCT
ejpam-6145	130	39	gtk+1dk+1	gtk+1dk+1	NUM
ejpam-6145	130	40	≤	≤	NOUN
ejpam-6145	130	41	−µ∥gk+1∥2	−µ∥gk+1∥2	ADV
ejpam-6145	130	42	,	,	PUNCT
ejpam-6145	130	43	(	(	PUNCT
ejpam-6145	130	44	30	30	NUM
ejpam-6145	130	45	)	)	PUNCT
ejpam-6145	130	46	where	where	SCONJ
ejpam-6145	130	47	µ	µ	X
ejpam-6145	130	48	>	>	X
ejpam-6145	130	49	0	0	NUM
ejpam-6145	130	50	is	be	AUX
ejpam-6145	130	51	a	a	DET
ejpam-6145	130	52	positive	positive	ADJ
ejpam-6145	130	53	constant	constant	NOUN
ejpam-6145	130	54	.	.	PUNCT
ejpam-6145	131	1	proof	proof	NOUN
ejpam-6145	131	2	:	:	PUNCT
ejpam-6145	131	3	from	from	ADP
ejpam-6145	131	4	theorem	theorem	ADJ
ejpam-6145	131	5	1	1	NUM
ejpam-6145	131	6	and	and	CCONJ
ejpam-6145	131	7	equation	equation	NOUN
ejpam-6145	131	8	(	(	PUNCT
ejpam-6145	131	9	28	28	NUM
ejpam-6145	131	10	)	)	PUNCT
ejpam-6145	131	11	,	,	PUNCT
ejpam-6145	131	12	we	we	PRON
ejpam-6145	131	13	have	have	VERB
ejpam-6145	131	14	:	:	PUNCT
ejpam-6145	131	15	gtk+1dk+1	gtk+1dk+1	VERB
ejpam-6145	131	16	≤	≤	NUM
ejpam-6145	132	1	−	−	NOUN
ejpam-6145	132	2	[	[	PUNCT
ejpam-6145	132	3	tvtk	tvtk	PROPN
ejpam-6145	132	4	yk	yk	PROPN
ejpam-6145	132	5	(	(	PUNCT
ejpam-6145	132	6	1	1	NUM
ejpam-6145	132	7	+	+	ADJ
ejpam-6145	132	8	m1m2)∥yk∥∥gk+1∥	m1m2)∥yk∥∥gk+1∥	NOUN
ejpam-6145	132	9	]	]	PUNCT
ejpam-6145	132	10	∥gk+1∥2	∥gk+1∥2	X
ejpam-6145	132	11	.	.	PUNCT
ejpam-6145	133	1	(	(	PUNCT
ejpam-6145	133	2	31	31	NUM
ejpam-6145	133	3	)	)	PUNCT
ejpam-6145	133	4	let	let	VERB
ejpam-6145	133	5	:	:	PUNCT
ejpam-6145	133	6	µ	µ	X
ejpam-6145	133	7	=	=	PUNCT
ejpam-6145	133	8	tvtk	tvtk	PROPN
ejpam-6145	133	9	yk	yk	PROPN
ejpam-6145	133	10	(	(	PUNCT
ejpam-6145	133	11	1	1	NUM
ejpam-6145	133	12	+	+	ADJ
ejpam-6145	133	13	m1m2)∥yk∥∥gk+1∥	m1m2)∥yk∥∥gk+1∥	NOUN
ejpam-6145	133	14	>	>	X
ejpam-6145	133	15	0	0	NUM
ejpam-6145	133	16	.	.	PUNCT
ejpam-6145	134	1	(	(	PUNCT
ejpam-6145	134	2	32	32	NUM
ejpam-6145	134	3	)	)	PUNCT
ejpam-6145	134	4	this	this	PRON
ejpam-6145	134	5	completes	complete	VERB
ejpam-6145	134	6	the	the	DET
ejpam-6145	134	7	proof	proof	NOUN
ejpam-6145	134	8	.	.	PUNCT
ejpam-6145	135	1	the	the	DET
ejpam-6145	135	2	global	global	ADJ
ejpam-6145	135	3	convergence	convergence	NOUN
ejpam-6145	135	4	of	of	ADP
ejpam-6145	135	5	the	the	DET
ejpam-6145	135	6	algorithm	algorithm	NOUN
ejpam-6145	135	7	is	be	AUX
ejpam-6145	135	8	guaranteed	guarantee	VERB
ejpam-6145	135	9	under	under	ADP
ejpam-6145	135	10	the	the	DET
ejpam-6145	135	11	following	following	ADJ
ejpam-6145	135	12	assumptions	assumption	NOUN
ejpam-6145	135	13	:	:	PUNCT
ejpam-6145	135	14	assumptions	assumption	NOUN
ejpam-6145	135	15	i	i	PRON
ejpam-6145	135	16	•	•	VERB
ejpam-6145	136	1	the	the	DET
ejpam-6145	136	2	level	level	NOUN
ejpam-6145	136	3	set	set	NOUN
ejpam-6145	136	4	s	s	PART
ejpam-6145	136	5	=	=	PUNCT
ejpam-6145	136	6	{	{	PUNCT
ejpam-6145	136	7	x	x	X
ejpam-6145	136	8	|	|	ADV
ejpam-6145	136	9	f(x	f(x	PROPN
ejpam-6145	136	10	)	)	PUNCT
ejpam-6145	136	11	≤	≤	NUM
ejpam-6145	136	12	f(x0	f(x0	NOUN
ejpam-6145	136	13	)	)	PUNCT
ejpam-6145	136	14	}	}	PUNCT
ejpam-6145	136	15	is	be	AUX
ejpam-6145	136	16	bounded	bound	VERB
ejpam-6145	136	17	.	.	PUNCT
ejpam-6145	137	1	•	•	NUM
ejpam-6145	137	2	the	the	DET
ejpam-6145	137	3	function	function	NOUN
ejpam-6145	137	4	f	f	PROPN
ejpam-6145	137	5	is	be	AUX
ejpam-6145	137	6	continuously	continuously	ADV
ejpam-6145	137	7	differentiable	differentiable	ADJ
ejpam-6145	137	8	in	in	ADP
ejpam-6145	137	9	some	some	DET
ejpam-6145	137	10	neighborhood	neighborhood	NOUN
ejpam-6145	137	11	n	n	NOUN
ejpam-6145	137	12	and	and	CCONJ
ejpam-6145	137	13	its	its	PRON
ejpam-6145	137	14	gradient	gradient	NOUN
ejpam-6145	137	15	satisfies	satisfy	VERB
ejpam-6145	137	16	the	the	DET
ejpam-6145	137	17	lipschitz	lipschitz	NOUN
ejpam-6145	137	18	condition	condition	NOUN
ejpam-6145	137	19	:	:	PUNCT
ejpam-6145	137	20	∥g(x)−	∥g(x)−	ADJ
ejpam-6145	137	21	g(y)∥	g(y)∥	VERB
ejpam-6145	137	22	≤	≤	PUNCT
ejpam-6145	137	23	l∥x−	l∥x−	ADJ
ejpam-6145	137	24	y∥	y∥	NOUN
ejpam-6145	137	25	,	,	PUNCT
ejpam-6145	137	26	∀x	∀x	NUM
ejpam-6145	137	27	,	,	PUNCT
ejpam-6145	137	28	y	y	PROPN
ejpam-6145	137	29	∈	∈	PROPN
ejpam-6145	137	30	s.	s.	PROPN
ejpam-6145	137	31	(	(	PUNCT
ejpam-6145	137	32	33	33	NUM
ejpam-6145	137	33	)	)	PUNCT
ejpam-6145	138	1	k.	k.	PROPN
ejpam-6145	138	2	j.	j.	PROPN
ejpam-6145	138	3	murad	murad	PROPN
ejpam-6145	138	4	,	,	PUNCT
ejpam-6145	138	5	s.	s.	PROPN
ejpam-6145	138	6	g.	g.	PROPN
ejpam-6145	138	7	shareef	shareef	PROPN
ejpam-6145	138	8	/	/	PUNCT
ejpam-6145	138	9	eur	eur	PROPN
ejpam-6145	138	10	.	.	PUNCT
ejpam-6145	139	1	j.	j.	PROPN
ejpam-6145	139	2	pure	pure	PROPN
ejpam-6145	139	3	appl	appl	PROPN
ejpam-6145	139	4	.	.	PROPN
ejpam-6145	139	5	math	math	PROPN
ejpam-6145	139	6	,	,	PUNCT
ejpam-6145	139	7	18	18	NUM
ejpam-6145	139	8	(	(	PUNCT
ejpam-6145	139	9	3	3	NUM
ejpam-6145	139	10	)	)	PUNCT
ejpam-6145	139	11	(	(	PUNCT
ejpam-6145	139	12	2025	2025	NUM
ejpam-6145	139	13	)	)	PUNCT
ejpam-6145	139	14	,	,	PUNCT
ejpam-6145	139	15	6145	6145	NUM
ejpam-6145	139	16	8	8	NUM
ejpam-6145	139	17	of	of	ADP
ejpam-6145	139	18	17	17	NUM
ejpam-6145	139	19	•	•	NOUN
ejpam-6145	139	20	there	there	PRON
ejpam-6145	139	21	exists	exist	VERB
ejpam-6145	139	22	a	a	DET
ejpam-6145	139	23	constant	constant	ADJ
ejpam-6145	139	24	b	b	NOUN
ejpam-6145	139	25	>	>	X
ejpam-6145	139	26	0	0	NUM
ejpam-6145	139	27	such	such	ADJ
ejpam-6145	139	28	that	that	SCONJ
ejpam-6145	139	29	:	:	PUNCT
ejpam-6145	139	30	∥g(x)∥	∥g(x)∥	PROPN
ejpam-6145	139	31	≤	≤	PROPN
ejpam-6145	139	32	b	b	PROPN
ejpam-6145	139	33	,	,	PUNCT
ejpam-6145	139	34	∀x	∀x	X
ejpam-6145	139	35	∈	∈	PROPN
ejpam-6145	139	36	s.	s.	PROPN
ejpam-6145	139	37	(	(	PUNCT
ejpam-6145	139	38	34	34	NUM
ejpam-6145	139	39	)	)	PUNCT
ejpam-6145	139	40	using	use	VERB
ejpam-6145	139	41	these	these	DET
ejpam-6145	139	42	assumptions	assumption	NOUN
ejpam-6145	139	43	,	,	PUNCT
ejpam-6145	139	44	we	we	PRON
ejpam-6145	139	45	derive	derive	VERB
ejpam-6145	139	46	the	the	DET
ejpam-6145	139	47	following	follow	VERB
ejpam-6145	139	48	result	result	NOUN
ejpam-6145	139	49	:	:	PUNCT
ejpam-6145	139	50	lemma	lemma	PROPN
ejpam-6145	139	51	1	1	NUM
ejpam-6145	139	52	:	:	PUNCT
ejpam-6145	139	53	[	[	X
ejpam-6145	139	54	46	46	NUM
ejpam-6145	139	55	]	]	X
ejpam-6145	139	56	let	let	VERB
ejpam-6145	139	57	assumptions	assumption	NOUN
ejpam-6145	139	58	(	(	PUNCT
ejpam-6145	139	59	i	i	NOUN
ejpam-6145	139	60	)	)	PUNCT
ejpam-6145	139	61	hold	hold	VERB
ejpam-6145	139	62	.	.	PUNCT
ejpam-6145	140	1	consider	consider	VERB
ejpam-6145	140	2	the	the	DET
ejpam-6145	140	3	methods	method	NOUN
ejpam-6145	140	4	(	(	PUNCT
ejpam-6145	140	5	1	1	NUM
ejpam-6145	140	6	)	)	PUNCT
ejpam-6145	140	7	and	and	CCONJ
ejpam-6145	140	8	(	(	PUNCT
ejpam-6145	140	9	2	2	NUM
ejpam-6145	140	10	)	)	PUNCT
ejpam-6145	140	11	,	,	PUNCT
ejpam-6145	140	12	where	where	SCONJ
ejpam-6145	140	13	dk+1	dk+1	NOUN
ejpam-6145	140	14	is	be	AUX
ejpam-6145	140	15	a	a	DET
ejpam-6145	140	16	descent	descent	NOUN
ejpam-6145	140	17	direction	direction	NOUN
ejpam-6145	140	18	and	and	CCONJ
ejpam-6145	140	19	αk	αk	SCONJ
ejpam-6145	140	20	satisfies	satisfy	VERB
ejpam-6145	140	21	the	the	DET
ejpam-6145	140	22	standard	standard	ADJ
ejpam-6145	140	23	wolfe	wolfe	PROPN
ejpam-6145	140	24	line	line	PROPN
ejpam-6145	140	25	search	search	NOUN
ejpam-6145	140	26	.	.	PUNCT
ejpam-6145	141	1	if∑	if∑	NOUN
ejpam-6145	141	2	k≥1	k≥1	NOUN
ejpam-6145	141	3	1	1	NUM
ejpam-6145	141	4	∥dk+1∥2	∥dk+1∥2	NOUN
ejpam-6145	141	5	=	=	SYM
ejpam-6145	141	6	∞	∞	PROPN
ejpam-6145	141	7	,	,	PUNCT
ejpam-6145	141	8	(	(	PUNCT
ejpam-6145	141	9	35	35	NUM
ejpam-6145	141	10	)	)	PUNCT
ejpam-6145	141	11	then	then	ADV
ejpam-6145	141	12	it	it	PRON
ejpam-6145	141	13	follows	follow	VERB
ejpam-6145	141	14	that	that	SCONJ
ejpam-6145	141	15	lim	lim	PROPN
ejpam-6145	141	16	k→∞	k→∞	PROPN
ejpam-6145	141	17	inf	inf	PROPN
ejpam-6145	141	18	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	141	19	=	=	NOUN
ejpam-6145	141	20	0	0	NUM
ejpam-6145	141	21	.	.	PUNCT
ejpam-6145	142	1	(	(	PUNCT
ejpam-6145	142	2	36	36	NUM
ejpam-6145	142	3	)	)	PUNCT
ejpam-6145	142	4	theorem	theorem	VERB
ejpam-6145	142	5	3	3	NUM
ejpam-6145	142	6	:	:	PUNCT
ejpam-6145	142	7	assuming	assume	VERB
ejpam-6145	142	8	that	that	SCONJ
ejpam-6145	142	9	assumptions	assumption	NOUN
ejpam-6145	142	10	(	(	PUNCT
ejpam-6145	142	11	i	i	NOUN
ejpam-6145	142	12	)	)	PUNCT
ejpam-6145	142	13	hold	hold	VERB
ejpam-6145	142	14	,	,	PUNCT
ejpam-6145	142	15	and	and	CCONJ
ejpam-6145	142	16	the	the	DET
ejpam-6145	142	17	sequences	sequence	NOUN
ejpam-6145	142	18	{	{	PUNCT
ejpam-6145	142	19	xk	xk	NOUN
ejpam-6145	142	20	}	}	PUNCT
ejpam-6145	142	21	,	,	PUNCT
ejpam-6145	142	22	{	{	PUNCT
ejpam-6145	142	23	dk	dk	X
ejpam-6145	142	24	}	}	PUNCT
ejpam-6145	142	25	,	,	PUNCT
ejpam-6145	142	26	{	{	PUNCT
ejpam-6145	142	27	gk	gk	NOUN
ejpam-6145	142	28	}	}	PUNCT
ejpam-6145	142	29	,	,	PUNCT
ejpam-6145	142	30	and	and	CCONJ
ejpam-6145	142	31	{	{	PUNCT
ejpam-6145	142	32	αk	αk	AUX
ejpam-6145	142	33	}	}	PUNCT
ejpam-6145	142	34	are	be	AUX
ejpam-6145	142	35	generated	generate	VERB
ejpam-6145	142	36	by	by	ADP
ejpam-6145	142	37	algorithm	algorithm	NOUN
ejpam-6145	142	38	1	1	NUM
ejpam-6145	142	39	,	,	PUNCT
ejpam-6145	142	40	we	we	PRON
ejpam-6145	142	41	conclude	conclude	VERB
ejpam-6145	142	42	that	that	SCONJ
ejpam-6145	142	43	lim	lim	PROPN
ejpam-6145	142	44	k→∞	k→∞	PROPN
ejpam-6145	142	45	inf	inf	PROPN
ejpam-6145	142	46	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	142	47	=	=	NOUN
ejpam-6145	142	48	0	0	NUM
ejpam-6145	142	49	.	.	PUNCT
ejpam-6145	143	1	(	(	PUNCT
ejpam-6145	143	2	37	37	NUM
ejpam-6145	143	3	)	)	PUNCT
ejpam-6145	143	4	proof	proof	NOUN
ejpam-6145	143	5	:	:	PUNCT
ejpam-6145	143	6	starting	start	VERB
ejpam-6145	143	7	from	from	ADP
ejpam-6145	143	8	equation	equation	NOUN
ejpam-6145	143	9	(	(	PUNCT
ejpam-6145	143	10	15	15	NUM
ejpam-6145	143	11	)	)	PUNCT
ejpam-6145	143	12	and	and	CCONJ
ejpam-6145	143	13	using	use	VERB
ejpam-6145	143	14	the	the	DET
ejpam-6145	143	15	parameters	parameter	NOUN
ejpam-6145	143	16	βk	βk	ADP
ejpam-6145	143	17	from	from	ADP
ejpam-6145	143	18	equation	equation	NOUN
ejpam-6145	143	19	(	(	PUNCT
ejpam-6145	143	20	6	6	NUM
ejpam-6145	143	21	)	)	PUNCT
ejpam-6145	143	22	and	and	CCONJ
ejpam-6145	143	23	the	the	DET
ejpam-6145	143	24	spectral	spectral	ADJ
ejpam-6145	143	25	parameter	parameter	NOUN
ejpam-6145	143	26	θk	θk	NOUN
ejpam-6145	143	27	from	from	ADP
ejpam-6145	143	28	equation	equation	NOUN
ejpam-6145	143	29	(	(	PUNCT
ejpam-6145	143	30	20	20	NUM
ejpam-6145	143	31	)	)	PUNCT
ejpam-6145	143	32	,	,	PUNCT
ejpam-6145	143	33	we	we	PRON
ejpam-6145	143	34	obtain	obtain	VERB
ejpam-6145	143	35	the	the	DET
ejpam-6145	143	36	following	follow	VERB
ejpam-6145	143	37	expression	expression	NOUN
ejpam-6145	143	38	:	:	PUNCT
ejpam-6145	144	1	∥dk+1∥	∥dk+1∥	NOUN
ejpam-6145	144	2	=	=	SYM
ejpam-6145	144	3	∥	∥	NUM
ejpam-6145	144	4	−	−	NOUN
ejpam-6145	144	5	(	(	PUNCT
ejpam-6145	144	6	1	1	NUM
ejpam-6145	145	1	+	+	CCONJ
ejpam-6145	145	2	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	145	3	(	(	PUNCT
ejpam-6145	145	4	1	1	NUM
ejpam-6145	145	5	+	+	NOUN
ejpam-6145	145	6	m1m2)gtk+1yk	m1m2)gtk+1yk	NOUN
ejpam-6145	145	7	)	)	PUNCT
ejpam-6145	145	8	gk+1	gk+1	NOUN
ejpam-6145	146	1	+	+	CCONJ
ejpam-6145	146	2	gtk+1yk	gtk+1yk	PROPN
ejpam-6145	146	3	dtk	dtk	PROPN
ejpam-6145	146	4	yk	yk	PROPN
ejpam-6145	146	5	dk∥.	dk∥.	PROPN
ejpam-6145	146	6	(	(	PUNCT
ejpam-6145	146	7	38	38	NUM
ejpam-6145	146	8	)	)	PUNCT
ejpam-6145	146	9	this	this	PRON
ejpam-6145	146	10	leads	lead	VERB
ejpam-6145	146	11	to	to	ADP
ejpam-6145	146	12	the	the	DET
ejpam-6145	146	13	following	following	NOUN
ejpam-6145	146	14	bound	bind	VERB
ejpam-6145	146	15	on	on	ADP
ejpam-6145	146	16	∥dk+1∥	∥dk+1∥	NOUN
ejpam-6145	146	17	:	:	PUNCT
ejpam-6145	146	18	∥dk+1∥	∥dk+1∥	NUM
ejpam-6145	146	19	≤	≤	NUM
ejpam-6145	146	20	∣∣∣∣∣1	∣∣∣∣∣1	VERB
ejpam-6145	147	1	+	+	X
ejpam-6145	147	2	tgtk+1vk	tgtk+1vk	PROPN
ejpam-6145	147	3	(	(	PUNCT
ejpam-6145	147	4	1	1	NUM
ejpam-6145	147	5	+	+	NOUN
ejpam-6145	147	6	m1m2)gtk+1yk	m1m2)gtk+1yk	ADJ
ejpam-6145	147	7	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-6145	147	8	∥gk+1∥+	∥gk+1∥+	X
ejpam-6145	147	9	∣∣∣∣∣gtk+1yk	∣∣∣∣∣gtk+1yk	PROPN
ejpam-6145	147	10	dtk	dtk	PROPN
ejpam-6145	147	11	yk	yk	PROPN
ejpam-6145	147	12	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6145	147	13	∥dk∥.	∥dk∥.	PROPN
ejpam-6145	147	14	(	(	PUNCT
ejpam-6145	147	15	39	39	NUM
ejpam-6145	147	16	)	)	PUNCT
ejpam-6145	147	17	from	from	ADP
ejpam-6145	147	18	equation	equation	NOUN
ejpam-6145	147	19	(	(	PUNCT
ejpam-6145	147	20	26	26	NUM
ejpam-6145	147	21	)	)	PUNCT
ejpam-6145	147	22	,	,	PUNCT
ejpam-6145	147	23	we	we	PRON
ejpam-6145	147	24	have	have	VERB
ejpam-6145	147	25	:	:	PUNCT
ejpam-6145	147	26	∥dk+1∥	∥dk+1∥	NUM
ejpam-6145	147	27	≤	≤	NUM
ejpam-6145	147	28	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-6145	147	29	+	+	X
ejpam-6145	147	30	t	t	NOUN
ejpam-6145	147	31	(	(	PUNCT
ejpam-6145	147	32	1	1	NUM
ejpam-6145	147	33	+	+	NOUN
ejpam-6145	147	34	m1m2	m1m2	X
ejpam-6145	147	35	)	)	PUNCT
ejpam-6145	147	36	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6145	147	37	∥vk∥+	∥vk∥+	PROPN
ejpam-6145	147	38	∣∣∣∣∥gk+1∥∥yk∥	∣∣∣∣∥gk+1∥∥yk∥	PUNCT
ejpam-6145	148	1	dtk	dtk	PROPN
ejpam-6145	148	2	yk	yk	PROPN
ejpam-6145	148	3	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6145	148	4	∥dk∥.	∥dk∥.	PROPN
ejpam-6145	148	5	(	(	PUNCT
ejpam-6145	148	6	40	40	NUM
ejpam-6145	148	7	)	)	PUNCT
ejpam-6145	148	8	using	use	VERB
ejpam-6145	148	9	equation	equation	NOUN
ejpam-6145	148	10	(	(	PUNCT
ejpam-6145	148	11	34	34	NUM
ejpam-6145	148	12	)	)	PUNCT
ejpam-6145	148	13	and	and	CCONJ
ejpam-6145	148	14	the	the	DET
ejpam-6145	148	15	lipschitz	lipschitz	NOUN
ejpam-6145	148	16	condition	condition	NOUN
ejpam-6145	148	17	∥yk∥	∥yk∥	PRON
ejpam-6145	148	18	≤	≤	NUM
ejpam-6145	148	19	l∥vk∥	l∥vk∥	NOUN
ejpam-6145	148	20	,	,	PUNCT
ejpam-6145	148	21	along	along	ADP
ejpam-6145	148	22	with	with	ADP
ejpam-6145	148	23	the	the	DET
ejpam-6145	148	24	fact	fact	NOUN
ejpam-6145	148	25	that	that	SCONJ
ejpam-6145	148	26	ytk	ytk	PROPN
ejpam-6145	148	27	vk	vk	PROPN
ejpam-6145	148	28	≥	≥	PROPN
ejpam-6145	148	29	ϑ∥vk∥2	ϑ∥vk∥2	PROPN
ejpam-6145	148	30	,	,	PUNCT
ejpam-6145	148	31	we	we	PRON
ejpam-6145	148	32	obtain	obtain	VERB
ejpam-6145	148	33	:	:	PUNCT
ejpam-6145	148	34	∥dk+1∥	∥dk+1∥	NUM
ejpam-6145	148	35	≤	≤	NUM
ejpam-6145	148	36	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-6145	148	37	+	+	X
ejpam-6145	148	38	t	t	NOUN
ejpam-6145	148	39	(	(	PUNCT
ejpam-6145	148	40	1	1	NUM
ejpam-6145	148	41	+	+	NOUN
ejpam-6145	148	42	m1m2	m1m2	X
ejpam-6145	148	43	)	)	PUNCT
ejpam-6145	148	44	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6145	148	45	∥vk∥+	∥vk∥+	PROPN
ejpam-6145	148	46	αkbl∥vk∥	αkbl∥vk∥	PROPN
ejpam-6145	148	47	ϑ∥vk∥2	ϑ∥vk∥2	PROPN
ejpam-6145	148	48	∥dk∥	∥dk∥	PROPN
ejpam-6145	148	49	,	,	PUNCT
ejpam-6145	148	50	(	(	PUNCT
ejpam-6145	148	51	41	41	NUM
ejpam-6145	148	52	)	)	PUNCT
ejpam-6145	148	53	which	which	PRON
ejpam-6145	148	54	simplifies	simplify	VERB
ejpam-6145	148	55	to	to	PART
ejpam-6145	148	56	:	:	PUNCT
ejpam-6145	148	57	∥dk+1∥	∥dk+1∥	NUM
ejpam-6145	148	58	≤	≤	NUM
ejpam-6145	148	59	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-6145	148	60	+	+	X
ejpam-6145	148	61	t	t	NOUN
ejpam-6145	148	62	(	(	PUNCT
ejpam-6145	148	63	1	1	NUM
ejpam-6145	148	64	+	+	NOUN
ejpam-6145	148	65	m1m2	m1m2	X
ejpam-6145	148	66	)	)	PUNCT
ejpam-6145	149	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6145	149	2	∥vk∥+	∥vk∥+	PROPN
ejpam-6145	149	3	bl	bl	PROPN
ejpam-6145	149	4	ϑ	ϑ	PROPN
ejpam-6145	149	5	.	.	PUNCT
ejpam-6145	150	1	(	(	PUNCT
ejpam-6145	150	2	42	42	NUM
ejpam-6145	150	3	)	)	PUNCT
ejpam-6145	150	4	k.	k.	PROPN
ejpam-6145	150	5	j.	j.	PROPN
ejpam-6145	150	6	murad	murad	PROPN
ejpam-6145	150	7	,	,	PUNCT
ejpam-6145	150	8	s.	s.	PROPN
ejpam-6145	150	9	g.	g.	PROPN
ejpam-6145	150	10	shareef	shareef	PROPN
ejpam-6145	150	11	/	/	PUNCT
ejpam-6145	150	12	eur	eur	PROPN
ejpam-6145	150	13	.	.	PUNCT
ejpam-6145	151	1	j.	j.	PROPN
ejpam-6145	151	2	pure	pure	PROPN
ejpam-6145	151	3	appl	appl	PROPN
ejpam-6145	151	4	.	.	PROPN
ejpam-6145	151	5	math	math	PROPN
ejpam-6145	151	6	,	,	PUNCT
ejpam-6145	151	7	18	18	NUM
ejpam-6145	151	8	(	(	PUNCT
ejpam-6145	151	9	3	3	NUM
ejpam-6145	151	10	)	)	PUNCT
ejpam-6145	151	11	(	(	PUNCT
ejpam-6145	151	12	2025	2025	NUM
ejpam-6145	151	13	)	)	PUNCT
ejpam-6145	151	14	,	,	PUNCT
ejpam-6145	151	15	6145	6145	NUM
ejpam-6145	151	16	9	9	NUM
ejpam-6145	151	17	of	of	ADP
ejpam-6145	151	18	17	17	NUM
ejpam-6145	151	19	since	since	SCONJ
ejpam-6145	151	20	∥vk∥	∥vk∥	NOUN
ejpam-6145	151	21	=	=	SYM
ejpam-6145	151	22	∥x−xk∥	∥x−xk∥	PROPN
ejpam-6145	151	23	,	,	PUNCT
ejpam-6145	151	24	we	we	PRON
ejpam-6145	151	25	define	define	VERB
ejpam-6145	151	26	d	d	X
ejpam-6145	151	27	=	=	PUNCT
ejpam-6145	151	28	max{∥x−xk∥	max{∥x−xk∥	VERB
ejpam-6145	151	29	}	}	PUNCT
ejpam-6145	151	30	for	for	ADP
ejpam-6145	151	31	all	all	DET
ejpam-6145	151	32	x	x	NOUN
ejpam-6145	151	33	,	,	PUNCT
ejpam-6145	151	34	xk	xk	PROPN
ejpam-6145	151	35	∈	∈	PROPN
ejpam-6145	151	36	r.	r.	PROPN
ejpam-6145	151	37	thus	thus	ADV
ejpam-6145	151	38	,	,	PUNCT
ejpam-6145	151	39	equation	equation	NOUN
ejpam-6145	151	40	(	(	PUNCT
ejpam-6145	151	41	35	35	NUM
ejpam-6145	151	42	)	)	PUNCT
ejpam-6145	151	43	becomes	become	VERB
ejpam-6145	151	44	:	:	PUNCT
ejpam-6145	151	45	∥dk+1∥	∥dk+1∥	NOUN
ejpam-6145	151	46	≤	≤	NOUN
ejpam-6145	151	47	b+	b+	VERB
ejpam-6145	151	48	td	td	X
ejpam-6145	151	49	(	(	PUNCT
ejpam-6145	151	50	1	1	NUM
ejpam-6145	151	51	+	+	NOUN
ejpam-6145	151	52	m1m2	m1m2	X
ejpam-6145	151	53	)	)	PUNCT
ejpam-6145	151	54	+	+	CCONJ
ejpam-6145	151	55	bl	bl	PROPN
ejpam-6145	151	56	ϑ	ϑ	X
ejpam-6145	151	57	=	=	X
ejpam-6145	151	58	ϕ.	ϕ.	PROPN
ejpam-6145	151	59	(	(	PUNCT
ejpam-6145	151	60	43	43	NUM
ejpam-6145	151	61	)	)	PUNCT
ejpam-6145	151	62	it	it	PRON
ejpam-6145	151	63	follows	follow	VERB
ejpam-6145	151	64	that	that	SCONJ
ejpam-6145	151	65	:	:	PUNCT
ejpam-6145	151	66	∑	∑	PUNCT
ejpam-6145	151	67	k≥1	k≥1	PROPN
ejpam-6145	151	68	1	1	NUM
ejpam-6145	151	69	∥dk+1∥2	∥dk+1∥2	ADJ
ejpam-6145	151	70	≥	≥	NOUN
ejpam-6145	151	71	∑	∑	PUNCT
ejpam-6145	151	72	k≥1	k≥1	PROPN
ejpam-6145	151	73	1	1	NUM
ejpam-6145	151	74	ϕ2	ϕ2	ADV
ejpam-6145	151	75	=	=	SYM
ejpam-6145	151	76	∞.	∞.	PROPN
ejpam-6145	151	77	(	(	PUNCT
ejpam-6145	151	78	44	44	NUM
ejpam-6145	151	79	)	)	PUNCT
ejpam-6145	151	80	by	by	ADP
ejpam-6145	151	81	applying	apply	VERB
ejpam-6145	151	82	lemma	lemma	PROPN
ejpam-6145	151	83	1	1	NUM
ejpam-6145	151	84	,	,	PUNCT
ejpam-6145	151	85	we	we	PRON
ejpam-6145	151	86	conclude	conclude	VERB
ejpam-6145	151	87	that	that	PRON
ejpam-6145	151	88	:	:	PUNCT
ejpam-6145	151	89	lim	lim	PROPN
ejpam-6145	151	90	k→∞	k→∞	PROPN
ejpam-6145	151	91	inf	inf	PROPN
ejpam-6145	151	92	∥gk+1∥	∥gk+1∥	NUM
ejpam-6145	151	93	=	=	NOUN
ejpam-6145	151	94	0	0	NUM
ejpam-6145	151	95	,	,	PUNCT
ejpam-6145	151	96	(	(	PUNCT
ejpam-6145	151	97	45	45	NUM
ejpam-6145	151	98	)	)	PUNCT
ejpam-6145	151	99	which	which	PRON
ejpam-6145	151	100	completes	complete	VERB
ejpam-6145	151	101	the	the	DET
ejpam-6145	151	102	proof	proof	NOUN
ejpam-6145	151	103	.	.	PUNCT
ejpam-6145	152	1	4	4	X
ejpam-6145	152	2	.	.	X
ejpam-6145	152	3	numerical	numerical	ADJ
ejpam-6145	152	4	results	result	NOUN
ejpam-6145	152	5	for	for	ADP
ejpam-6145	152	6	unconstrained	unconstrained	ADJ
ejpam-6145	152	7	optimization	optimization	NOUN
ejpam-6145	152	8	this	this	DET
ejpam-6145	152	9	section	section	NOUN
ejpam-6145	152	10	presents	present	VERB
ejpam-6145	152	11	the	the	DET
ejpam-6145	152	12	results	result	NOUN
ejpam-6145	152	13	of	of	ADP
ejpam-6145	152	14	implementing	implement	VERB
ejpam-6145	152	15	the	the	DET
ejpam-6145	152	16	new	new	ADJ
ejpam-6145	152	17	-	-	PUNCT
ejpam-6145	152	18	scg	scg	NOUN
ejpam-6145	152	19	algorithm	algorithm	NOUN
ejpam-6145	152	20	for	for	ADP
ejpam-6145	152	21	solving	solve	VERB
ejpam-6145	152	22	unconstrained	unconstrained	ADJ
ejpam-6145	152	23	optimization	optimization	NOUN
ejpam-6145	152	24	problems	problem	NOUN
ejpam-6145	152	25	.	.	PUNCT
ejpam-6145	153	1	a	a	DET
ejpam-6145	153	2	comparative	comparative	ADJ
ejpam-6145	153	3	analysis	analysis	NOUN
ejpam-6145	153	4	is	be	AUX
ejpam-6145	153	5	conducted	conduct	VERB
ejpam-6145	153	6	between	between	ADP
ejpam-6145	153	7	the	the	DET
ejpam-6145	153	8	proposed	propose	VERB
ejpam-6145	153	9	algorithm	algorithm	NOUN
ejpam-6145	153	10	and	and	CCONJ
ejpam-6145	153	11	the	the	DET
ejpam-6145	153	12	classical	classical	ADJ
ejpam-6145	153	13	hs	hs	PROPN
ejpam-6145	153	14	and	and	CCONJ
ejpam-6145	153	15	b	b	PROPN
ejpam-6145	153	16	-	-	PUNCT
ejpam-6145	153	17	scg	scg	ADJ
ejpam-6145	153	18	methods	method	NOUN
ejpam-6145	153	19	.	.	PUNCT
ejpam-6145	154	1	the	the	DET
ejpam-6145	154	2	tests	test	NOUN
ejpam-6145	154	3	were	be	AUX
ejpam-6145	154	4	carried	carry	VERB
ejpam-6145	154	5	out	out	ADP
ejpam-6145	154	6	using	use	VERB
ejpam-6145	154	7	well	well	ADV
ejpam-6145	154	8	-	-	PUNCT
ejpam-6145	154	9	established	establish	VERB
ejpam-6145	154	10	benchmark	benchmark	NOUN
ejpam-6145	154	11	functions	function	NOUN
ejpam-6145	154	12	[	[	X
ejpam-6145	154	13	47	47	NUM
ejpam-6145	154	14	]	]	PUNCT
ejpam-6145	154	15	with	with	ADP
ejpam-6145	154	16	varying	vary	VERB
ejpam-6145	154	17	problem	problem	NOUN
ejpam-6145	154	18	dimensions	dimension	NOUN
ejpam-6145	154	19	.	.	PUNCT
ejpam-6145	155	1	all	all	DET
ejpam-6145	155	2	codes	code	NOUN
ejpam-6145	155	3	were	be	AUX
ejpam-6145	155	4	developed	develop	VERB
ejpam-6145	155	5	in	in	ADP
ejpam-6145	155	6	fortran	fortran	NOUN
ejpam-6145	155	7	95	95	NUM
ejpam-6145	155	8	,	,	PUNCT
ejpam-6145	155	9	and	and	CCONJ
ejpam-6145	155	10	the	the	DET
ejpam-6145	155	11	line	line	NOUN
ejpam-6145	155	12	search	search	NOUN
ejpam-6145	155	13	routine	routine	NOUN
ejpam-6145	155	14	employed	employ	VERB
ejpam-6145	155	15	cubic	cubic	ADJ
ejpam-6145	155	16	interpolation	interpolation	NOUN
ejpam-6145	155	17	based	base	VERB
ejpam-6145	155	18	on	on	ADP
ejpam-6145	155	19	both	both	DET
ejpam-6145	155	20	function	function	NOUN
ejpam-6145	155	21	and	and	CCONJ
ejpam-6145	155	22	gradient	gradient	NOUN
ejpam-6145	155	23	evaluations	evaluation	NOUN
ejpam-6145	155	24	.	.	PUNCT
ejpam-6145	156	1	the	the	DET
ejpam-6145	156	2	letter	letter	NOUN
ejpam-6145	156	3	’	'	PUNCT
ejpam-6145	156	4	f	f	NOUN
ejpam-6145	156	5	’	'	PUNCT
ejpam-6145	156	6	in	in	ADP
ejpam-6145	156	7	the	the	DET
ejpam-6145	156	8	tables	table	NOUN
ejpam-6145	156	9	indicates	indicate	VERB
ejpam-6145	156	10	that	that	SCONJ
ejpam-6145	156	11	the	the	DET
ejpam-6145	156	12	method	method	NOUN
ejpam-6145	156	13	failed	fail	VERB
ejpam-6145	156	14	to	to	PART
ejpam-6145	156	15	locate	locate	VERB
ejpam-6145	156	16	the	the	DET
ejpam-6145	156	17	minimum	minimum	NOUN
ejpam-6145	156	18	.	.	PUNCT
ejpam-6145	157	1	table	table	NOUN
ejpam-6145	157	2	1	1	NUM
ejpam-6145	157	3	reports	report	VERB
ejpam-6145	157	4	the	the	DET
ejpam-6145	157	5	performance	performance	NOUN
ejpam-6145	157	6	of	of	ADP
ejpam-6145	157	7	the	the	DET
ejpam-6145	157	8	algorithms	algorithm	NOUN
ejpam-6145	157	9	in	in	ADP
ejpam-6145	157	10	terms	term	NOUN
ejpam-6145	157	11	of	of	ADP
ejpam-6145	157	12	the	the	DET
ejpam-6145	157	13	number	number	NOUN
ejpam-6145	157	14	of	of	ADP
ejpam-6145	157	15	iterations	iteration	NOUN
ejpam-6145	157	16	(	(	PUNCT
ejpam-6145	157	17	noi	noi	PROPN
ejpam-6145	157	18	)	)	PUNCT
ejpam-6145	157	19	and	and	CCONJ
ejpam-6145	157	20	the	the	DET
ejpam-6145	157	21	number	number	NOUN
ejpam-6145	157	22	of	of	ADP
ejpam-6145	157	23	function	function	NOUN
ejpam-6145	157	24	evaluations	evaluation	NOUN
ejpam-6145	157	25	(	(	PUNCT
ejpam-6145	157	26	nof	nof	PROPN
ejpam-6145	157	27	)	)	PUNCT
ejpam-6145	157	28	.	.	PUNCT
ejpam-6145	158	1	the	the	DET
ejpam-6145	158	2	summary	summary	NOUN
ejpam-6145	158	3	in	in	ADP
ejpam-6145	158	4	table	table	NOUN
ejpam-6145	158	5	2	2	NUM
ejpam-6145	158	6	further	far	ADV
ejpam-6145	158	7	confirms	confirm	VERB
ejpam-6145	158	8	that	that	SCONJ
ejpam-6145	158	9	the	the	DET
ejpam-6145	158	10	new	new	ADJ
ejpam-6145	158	11	-	-	PUNCT
ejpam-6145	158	12	scg	scg	NOUN
ejpam-6145	158	13	algorithm	algorithm	NOUN
ejpam-6145	158	14	outperforms	outperform	NOUN
ejpam-6145	158	15	both	both	DET
ejpam-6145	158	16	hs	hs	PROPN
ejpam-6145	158	17	and	and	CCONJ
ejpam-6145	158	18	b	b	PROPN
ejpam-6145	158	19	-	-	PUNCT
ejpam-6145	158	20	scg	scg	ADJ
ejpam-6145	158	21	methods	method	NOUN
ejpam-6145	158	22	with	with	ADP
ejpam-6145	158	23	respect	respect	NOUN
ejpam-6145	158	24	to	to	ADP
ejpam-6145	158	25	noi	noi	PROPN
ejpam-6145	158	26	and	and	CCONJ
ejpam-6145	158	27	nof	nof	PROPN
ejpam-6145	158	28	metrics	metric	NOUN
ejpam-6145	158	29	.	.	PUNCT
ejpam-6145	159	1	all	all	DET
ejpam-6145	159	2	tests	test	NOUN
ejpam-6145	159	3	were	be	AUX
ejpam-6145	159	4	initialized	initialize	VERB
ejpam-6145	159	5	from	from	ADP
ejpam-6145	159	6	standard	standard	ADJ
ejpam-6145	159	7	starting	starting	NOUN
ejpam-6145	159	8	points	point	NOUN
ejpam-6145	159	9	,	,	PUNCT
ejpam-6145	159	10	and	and	CCONJ
ejpam-6145	159	11	the	the	DET
ejpam-6145	159	12	comparative	comparative	ADJ
ejpam-6145	159	13	numerical	numerical	ADJ
ejpam-6145	159	14	results	result	NOUN
ejpam-6145	159	15	are	be	AUX
ejpam-6145	159	16	visualized	visualize	VERB
ejpam-6145	159	17	in	in	ADP
ejpam-6145	159	18	figures	figure	NOUN
ejpam-6145	159	19	1a	1a	PROPN
ejpam-6145	159	20	and	and	CCONJ
ejpam-6145	159	21	1b	1b	NUM
ejpam-6145	159	22	.	.	PUNCT
ejpam-6145	160	1	the	the	DET
ejpam-6145	160	2	relative	relative	ADJ
ejpam-6145	160	3	performance	performance	NOUN
ejpam-6145	160	4	of	of	ADP
ejpam-6145	160	5	the	the	DET
ejpam-6145	160	6	new	new	ADJ
ejpam-6145	160	7	-	-	PUNCT
ejpam-6145	160	8	scg	scg	NOUN
ejpam-6145	160	9	,	,	PUNCT
ejpam-6145	160	10	hs	hs	PROPN
ejpam-6145	160	11	,	,	PUNCT
ejpam-6145	160	12	and	and	CCONJ
ejpam-6145	160	13	b	b	X
ejpam-6145	160	14	-	-	PUNCT
ejpam-6145	160	15	scg	scg	ADJ
ejpam-6145	160	16	methods	method	NOUN
ejpam-6145	160	17	is	be	AUX
ejpam-6145	160	18	assessed	assess	VERB
ejpam-6145	160	19	using	use	VERB
ejpam-6145	160	20	performance	performance	NOUN
ejpam-6145	160	21	profiles	profile	NOUN
ejpam-6145	160	22	in	in	ADP
ejpam-6145	160	23	accordance	accordance	NOUN
ejpam-6145	160	24	with	with	ADP
ejpam-6145	160	25	the	the	DET
ejpam-6145	160	26	approach	approach	NOUN
ejpam-6145	160	27	described	describe	VERB
ejpam-6145	160	28	in	in	ADP
ejpam-6145	160	29	[	[	X
ejpam-6145	160	30	48	48	NUM
ejpam-6145	160	31	]	]	PUNCT
ejpam-6145	160	32	.	.	PUNCT
ejpam-6145	161	1	let	let	VERB
ejpam-6145	161	2	s	s	PRON
ejpam-6145	161	3	=	=	SYM
ejpam-6145	161	4	2	2	NUM
ejpam-6145	161	5	represent	represent	VERB
ejpam-6145	161	6	the	the	DET
ejpam-6145	161	7	set	set	NOUN
ejpam-6145	161	8	of	of	ADP
ejpam-6145	161	9	solvers	solver	NOUN
ejpam-6145	161	10	being	be	AUX
ejpam-6145	161	11	compared	compare	VERB
ejpam-6145	161	12	,	,	PUNCT
ejpam-6145	161	13	and	and	CCONJ
ejpam-6145	161	14	p	p	NOUN
ejpam-6145	161	15	=	=	SYM
ejpam-6145	161	16	72	72	NUM
ejpam-6145	161	17	denote	denote	VERB
ejpam-6145	161	18	the	the	DET
ejpam-6145	161	19	total	total	ADJ
ejpam-6145	161	20	number	number	NOUN
ejpam-6145	161	21	of	of	ADP
ejpam-6145	161	22	test	test	NOUN
ejpam-6145	161	23	problems	problem	NOUN
ejpam-6145	161	24	.	.	PUNCT
ejpam-6145	162	1	let	let	VERB
ejpam-6145	162	2	lp	lp	NOUN
ejpam-6145	162	3	,	,	PUNCT
ejpam-6145	162	4	s	s	AUX
ejpam-6145	162	5	represent	represent	VERB
ejpam-6145	162	6	the	the	DET
ejpam-6145	162	7	number	number	NOUN
ejpam-6145	162	8	of	of	ADP
ejpam-6145	162	9	objective	objective	ADJ
ejpam-6145	162	10	function	function	NOUN
ejpam-6145	162	11	evaluations	evaluation	NOUN
ejpam-6145	162	12	required	require	VERB
ejpam-6145	162	13	by	by	ADP
ejpam-6145	162	14	solver	solver	NOUN
ejpam-6145	162	15	s	s	PROPN
ejpam-6145	162	16	to	to	PART
ejpam-6145	162	17	solve	solve	VERB
ejpam-6145	162	18	problem	problem	NOUN
ejpam-6145	162	19	p.	p.	NOUN
ejpam-6145	163	1	the	the	DET
ejpam-6145	163	2	performance	performance	NOUN
ejpam-6145	163	3	ratio	ratio	NOUN
ejpam-6145	163	4	is	be	AUX
ejpam-6145	163	5	defined	define	VERB
ejpam-6145	163	6	as	as	ADP
ejpam-6145	163	7	rp	rp	NOUN
ejpam-6145	163	8	,	,	PUNCT
ejpam-6145	163	9	s	s	NOUN
ejpam-6145	163	10	=	=	SYM
ejpam-6145	163	11	lp	lp	PROPN
ejpam-6145	163	12	,	,	PUNCT
ejpam-6145	163	13	s	s	PART
ejpam-6145	163	14	l∗p	l∗p	PUNCT
ejpam-6145	163	15	,	,	PUNCT
ejpam-6145	163	16	where	where	SCONJ
ejpam-6145	163	17	l∗p	l∗p	PUNCT
ejpam-6145	163	18	is	be	AUX
ejpam-6145	163	19	the	the	DET
ejpam-6145	163	20	minimum	minimum	ADJ
ejpam-6145	163	21	number	number	NOUN
ejpam-6145	163	22	of	of	ADP
ejpam-6145	163	23	evaluations	evaluation	NOUN
ejpam-6145	163	24	among	among	ADP
ejpam-6145	163	25	all	all	DET
ejpam-6145	163	26	solvers	solver	NOUN
ejpam-6145	163	27	:	:	PUNCT
ejpam-6145	163	28	l∗p	l∗p	PUNCT
ejpam-6145	163	29	=	=	SYM
ejpam-6145	163	30	min{lp	min{lp	NOUN
ejpam-6145	163	31	,	,	PUNCT
ejpam-6145	163	32	s	s	PART
ejpam-6145	163	33	:	:	PUNCT
ejpam-6145	163	34	s	s	VERB
ejpam-6145	163	35	∈	∈	PROPN
ejpam-6145	163	36	s	s	PART
ejpam-6145	163	37	}	}	PUNCT
ejpam-6145	163	38	.	.	PUNCT
ejpam-6145	164	1	it	it	PRON
ejpam-6145	164	2	is	be	AUX
ejpam-6145	164	3	evident	evident	ADJ
ejpam-6145	164	4	that	that	SCONJ
ejpam-6145	164	5	rp	rp	NOUN
ejpam-6145	164	6	,	,	PUNCT
ejpam-6145	164	7	s	s	PART
ejpam-6145	164	8	≥	≥	NOUN
ejpam-6145	164	9	1	1	NUM
ejpam-6145	164	10	for	for	ADP
ejpam-6145	164	11	all	all	DET
ejpam-6145	164	12	p	p	NOUN
ejpam-6145	164	13	and	and	CCONJ
ejpam-6145	164	14	s.	s.	PROPN
ejpam-6145	164	15	if	if	SCONJ
ejpam-6145	164	16	a	a	DET
ejpam-6145	164	17	solver	solver	NOUN
ejpam-6145	164	18	fails	fail	VERB
ejpam-6145	164	19	to	to	PART
ejpam-6145	164	20	solve	solve	VERB
ejpam-6145	164	21	a	a	DET
ejpam-6145	164	22	problem	problem	NOUN
ejpam-6145	164	23	,	,	PUNCT
ejpam-6145	164	24	the	the	DET
ejpam-6145	164	25	ratio	ratio	NOUN
ejpam-6145	164	26	rp	rp	NOUN
ejpam-6145	164	27	,	,	PUNCT
ejpam-6145	164	28	s	s	PART
ejpam-6145	164	29	is	be	AUX
ejpam-6145	164	30	assigned	assign	VERB
ejpam-6145	164	31	a	a	DET
ejpam-6145	164	32	large	large	ADJ
ejpam-6145	164	33	number	number	NOUN
ejpam-6145	164	34	m	m	NOUN
ejpam-6145	164	35	.	.	PUNCT
ejpam-6145	165	1	k.	k.	PROPN
ejpam-6145	165	2	j.	j.	PROPN
ejpam-6145	165	3	murad	murad	PROPN
ejpam-6145	165	4	,	,	PUNCT
ejpam-6145	165	5	s.	s.	PROPN
ejpam-6145	165	6	g.	g.	PROPN
ejpam-6145	165	7	shareef	shareef	PROPN
ejpam-6145	165	8	/	/	PUNCT
ejpam-6145	165	9	eur	eur	PROPN
ejpam-6145	165	10	.	.	PUNCT
ejpam-6145	166	1	j.	j.	PROPN
ejpam-6145	166	2	pure	pure	PROPN
ejpam-6145	166	3	appl	appl	PROPN
ejpam-6145	166	4	.	.	PROPN
ejpam-6145	166	5	math	math	PROPN
ejpam-6145	166	6	,	,	PUNCT
ejpam-6145	166	7	18	18	NUM
ejpam-6145	166	8	(	(	PUNCT
ejpam-6145	166	9	3	3	NUM
ejpam-6145	166	10	)	)	PUNCT
ejpam-6145	166	11	(	(	PUNCT
ejpam-6145	166	12	2025	2025	NUM
ejpam-6145	166	13	)	)	PUNCT
ejpam-6145	166	14	,	,	PUNCT
ejpam-6145	166	15	6145	6145	NUM
ejpam-6145	166	16	10	10	NUM
ejpam-6145	166	17	of	of	ADP
ejpam-6145	166	18	17	17	NUM
ejpam-6145	166	19	the	the	DET
ejpam-6145	166	20	performance	performance	NOUN
ejpam-6145	166	21	profile	profile	NOUN
ejpam-6145	166	22	for	for	ADP
ejpam-6145	166	23	each	each	DET
ejpam-6145	166	24	solver	solver	NOUN
ejpam-6145	166	25	s	s	NOUN
ejpam-6145	166	26	is	be	AUX
ejpam-6145	166	27	given	give	VERB
ejpam-6145	166	28	by	by	ADP
ejpam-6145	166	29	the	the	DET
ejpam-6145	166	30	cumulative	cumulative	ADJ
ejpam-6145	166	31	distribution	distribution	NOUN
ejpam-6145	166	32	function	function	NOUN
ejpam-6145	166	33	of	of	ADP
ejpam-6145	166	34	the	the	DET
ejpam-6145	166	35	performance	performance	NOUN
ejpam-6145	166	36	ratio	ratio	NOUN
ejpam-6145	166	37	rp	rp	NOUN
ejpam-6145	166	38	,	,	PUNCT
ejpam-6145	166	39	s	s	PART
ejpam-6145	166	40	:	:	PUNCT
ejpam-6145	166	41	pτ	pτ	X
ejpam-6145	166	42	(	(	PUNCT
ejpam-6145	166	43	τ	τ	X
ejpam-6145	166	44	)	)	PUNCT
ejpam-6145	166	45	=	=	PUNCT
ejpam-6145	166	46	|{p	|{p	X
ejpam-6145	166	47	∈	∈	PROPN
ejpam-6145	166	48	p	p	X
ejpam-6145	166	49	:	:	PUNCT
ejpam-6145	166	50	rp	rp	NOUN
ejpam-6145	166	51	,	,	PUNCT
ejpam-6145	166	52	s	s	PART
ejpam-6145	166	53	≤	≤	NOUN
ejpam-6145	166	54	τ}|	τ}|	NOUN
ejpam-6145	166	55	np	np	INTJ
ejpam-6145	166	56	.	.	PUNCT
ejpam-6145	167	1	here	here	ADV
ejpam-6145	167	2	,	,	PUNCT
ejpam-6145	167	3	ps(1	ps(1	PROPN
ejpam-6145	167	4	)	)	PUNCT
ejpam-6145	167	5	represents	represent	VERB
ejpam-6145	167	6	the	the	DET
ejpam-6145	167	7	percentage	percentage	NOUN
ejpam-6145	167	8	of	of	ADP
ejpam-6145	167	9	problems	problem	NOUN
ejpam-6145	167	10	for	for	ADP
ejpam-6145	167	11	which	which	PRON
ejpam-6145	167	12	solver	solver	NOUN
ejpam-6145	167	13	s	s	VERB
ejpam-6145	167	14	is	be	AUX
ejpam-6145	167	15	the	the	DET
ejpam-6145	167	16	best	good	ADJ
ejpam-6145	167	17	.	.	PUNCT
ejpam-6145	168	1	table	table	NOUN
ejpam-6145	168	2	1	1	NUM
ejpam-6145	168	3	:	:	PUNCT
ejpam-6145	168	4	comparison	comparison	NOUN
ejpam-6145	168	5	of	of	ADP
ejpam-6145	168	6	performance	performance	NOUN
ejpam-6145	168	7	metrics	metric	NOUN
ejpam-6145	168	8	(	(	PUNCT
ejpam-6145	168	9	noi	noi	PROPN
ejpam-6145	168	10	and	and	CCONJ
ejpam-6145	168	11	nof	nof	PROPN
ejpam-6145	168	12	)	)	PUNCT
ejpam-6145	168	13	for	for	ADP
ejpam-6145	168	14	different	different	ADJ
ejpam-6145	168	15	methods	method	NOUN
ejpam-6145	168	16	across	across	ADP
ejpam-6145	168	17	various	various	ADJ
ejpam-6145	168	18	test	test	NOUN
ejpam-6145	168	19	functions	function	NOUN
ejpam-6145	168	20	and	and	CCONJ
ejpam-6145	168	21	dimensions	dimension	NOUN
ejpam-6145	168	22	method	method	NOUN
ejpam-6145	168	23	classical	classical	ADJ
ejpam-6145	168	24	hs	hs	PROPN
ejpam-6145	168	25	b	b	PROPN
ejpam-6145	168	26	-	-	PUNCT
ejpam-6145	168	27	scg	scg	ADJ
ejpam-6145	168	28	new	new	ADJ
ejpam-6145	168	29	-	-	PUNCT
ejpam-6145	168	30	scg	scg	NOUN
ejpam-6145	168	31	test	test	NOUN
ejpam-6145	168	32	function	function	NOUN
ejpam-6145	168	33	dimensions	dimensions	PROPN
ejpam-6145	168	34	noi	noi	PROPN
ejpam-6145	168	35	nof	nof	PROPN
ejpam-6145	168	36	noi	noi	PROPN
ejpam-6145	168	37	nof	nof	PROPN
ejpam-6145	168	38	noi	noi	PROPN
ejpam-6145	168	39	nof	nof	PROPN
ejpam-6145	168	40	wolfe	wolfe	PROPN
ejpam-6145	168	41	4	4	NUM
ejpam-6145	168	42	11	11	NUM
ejpam-6145	168	43	24	24	NUM
ejpam-6145	168	44	11	11	NUM
ejpam-6145	168	45	29	29	NUM
ejpam-6145	168	46	11	11	NUM
ejpam-6145	168	47	25	25	NUM
ejpam-6145	168	48	10	10	NUM
ejpam-6145	168	49	32	32	NUM
ejpam-6145	168	50	65	65	NUM
ejpam-6145	168	51	32	32	NUM
ejpam-6145	168	52	71	71	NUM
ejpam-6145	168	53	32	32	NUM
ejpam-6145	168	54	65	65	NUM
ejpam-6145	168	55	100	100	NUM
ejpam-6145	168	56	49	49	NUM
ejpam-6145	168	57	99	99	NUM
ejpam-6145	168	58	49	49	NUM
ejpam-6145	168	59	100	100	NUM
ejpam-6145	168	60	44	44	NUM
ejpam-6145	168	61	89	89	NUM
ejpam-6145	168	62	500	500	NUM
ejpam-6145	168	63	52	52	NUM
ejpam-6145	168	64	105	105	NUM
ejpam-6145	168	65	52	52	NUM
ejpam-6145	168	66	107	107	NUM
ejpam-6145	168	67	46	46	NUM
ejpam-6145	168	68	93	93	NUM
ejpam-6145	168	69	1000	1000	NUM
ejpam-6145	168	70	70	70	NUM
ejpam-6145	168	71	141	141	NUM
ejpam-6145	168	72	60	60	NUM
ejpam-6145	168	73	122	122	NUM
ejpam-6145	168	74	50	50	NUM
ejpam-6145	168	75	101	101	NUM
ejpam-6145	168	76	5000	5000	NUM
ejpam-6145	168	77	165	165	NUM
ejpam-6145	168	78	348	348	NUM
ejpam-6145	168	79	168	168	NUM
ejpam-6145	168	80	338	338	NUM
ejpam-6145	168	81	129	129	NUM
ejpam-6145	168	82	270	270	NUM
ejpam-6145	168	83	g	g	NOUN
ejpam-6145	168	84	-	-	PUNCT
ejpam-6145	168	85	central	central	ADJ
ejpam-6145	168	86	4	4	NUM
ejpam-6145	168	87	22	22	NUM
ejpam-6145	168	88	159	159	NUM
ejpam-6145	168	89	16	16	NUM
ejpam-6145	168	90	77	77	NUM
ejpam-6145	168	91	21	21	NUM
ejpam-6145	168	92	147	147	NUM
ejpam-6145	168	93	10	10	NUM
ejpam-6145	168	94	22	22	NUM
ejpam-6145	168	95	159	159	NUM
ejpam-6145	168	96	16	16	NUM
ejpam-6145	168	97	103	103	NUM
ejpam-6145	168	98	22	22	NUM
ejpam-6145	168	99	160	160	NUM
ejpam-6145	168	100	100	100	NUM
ejpam-6145	168	101	22	22	NUM
ejpam-6145	168	102	159	159	NUM
ejpam-6145	168	103	19	19	NUM
ejpam-6145	168	104	103	103	NUM
ejpam-6145	168	105	22	22	NUM
ejpam-6145	168	106	160	160	NUM
ejpam-6145	168	107	500	500	NUM
ejpam-6145	168	108	23	23	NUM
ejpam-6145	168	109	171	171	NUM
ejpam-6145	168	110	28	28	NUM
ejpam-6145	168	111	153	153	NUM
ejpam-6145	168	112	22	22	NUM
ejpam-6145	168	113	160	160	NUM
ejpam-6145	168	114	1000	1000	NUM
ejpam-6145	168	115	23	23	NUM
ejpam-6145	168	116	171	171	NUM
ejpam-6145	168	117	34	34	NUM
ejpam-6145	168	118	186	186	NUM
ejpam-6145	168	119	22	22	NUM
ejpam-6145	168	120	160	160	NUM
ejpam-6145	168	121	5000	5000	NUM
ejpam-6145	168	122	28	28	NUM
ejpam-6145	168	123	248	248	NUM
ejpam-6145	168	124	52	52	NUM
ejpam-6145	168	125	287	287	NUM
ejpam-6145	168	126	26	26	NUM
ejpam-6145	168	127	214	214	NUM
ejpam-6145	168	128	non	non	ADJ
ejpam-6145	168	129	-	-	ADJ
ejpam-6145	168	130	diagonal	diagonal	ADJ
ejpam-6145	168	131	4	4	NUM
ejpam-6145	168	132	24	24	NUM
ejpam-6145	168	133	64	64	NUM
ejpam-6145	168	134	30	30	NUM
ejpam-6145	168	135	223	223	NUM
ejpam-6145	168	136	24	24	NUM
ejpam-6145	168	137	64	64	NUM
ejpam-6145	168	138	10	10	NUM
ejpam-6145	168	139	26	26	NUM
ejpam-6145	168	140	72	72	NUM
ejpam-6145	168	141	29	29	NUM
ejpam-6145	168	142	238	238	NUM
ejpam-6145	168	143	26	26	NUM
ejpam-6145	168	144	72	72	NUM
ejpam-6145	168	145	100	100	NUM
ejpam-6145	168	146	29	29	NUM
ejpam-6145	168	147	79	79	NUM
ejpam-6145	168	148	27	27	NUM
ejpam-6145	168	149	285	285	NUM
ejpam-6145	168	150	29	29	NUM
ejpam-6145	168	151	79	79	NUM
ejpam-6145	168	152	500	500	NUM
ejpam-6145	169	1	f	f	NOUN
ejpam-6145	169	2	f	f	PROPN
ejpam-6145	169	3	27	27	NUM
ejpam-6145	169	4	335	335	NUM
ejpam-6145	169	5	29	29	NUM
ejpam-6145	169	6	79	79	NUM
ejpam-6145	169	7	1000	1000	NUM
ejpam-6145	169	8	29	29	NUM
ejpam-6145	169	9	79	79	NUM
ejpam-6145	169	10	30	30	NUM
ejpam-6145	169	11	385	385	NUM
ejpam-6145	169	12	29	29	NUM
ejpam-6145	169	13	79	79	NUM
ejpam-6145	169	14	5000	5000	NUM
ejpam-6145	169	15	30	30	NUM
ejpam-6145	169	16	81	81	NUM
ejpam-6145	169	17	30	30	NUM
ejpam-6145	169	18	420	420	NUM
ejpam-6145	169	19	30	30	NUM
ejpam-6145	169	20	81	81	NUM
ejpam-6145	169	21	powell	powell	NOUN
ejpam-6145	169	22	4	4	NUM
ejpam-6145	169	23	37	37	NUM
ejpam-6145	169	24	102	102	NUM
ejpam-6145	169	25	47	47	NUM
ejpam-6145	169	26	231	231	NUM
ejpam-6145	169	27	34	34	NUM
ejpam-6145	169	28	93	93	NUM
ejpam-6145	169	29	10	10	NUM
ejpam-6145	169	30	37	37	NUM
ejpam-6145	169	31	102	102	NUM
ejpam-6145	169	32	47	47	NUM
ejpam-6145	169	33	231	231	NUM
ejpam-6145	169	34	34	34	NUM
ejpam-6145	169	35	93	93	NUM
ejpam-6145	169	36	100	100	NUM
ejpam-6145	169	37	40	40	NUM
ejpam-6145	169	38	117	117	NUM
ejpam-6145	169	39	47	47	NUM
ejpam-6145	169	40	231	231	NUM
ejpam-6145	169	41	34	34	NUM
ejpam-6145	169	42	93	93	NUM
ejpam-6145	169	43	500	500	NUM
ejpam-6145	169	44	44	44	NUM
ejpam-6145	169	45	136	136	NUM
ejpam-6145	169	46	47	47	NUM
ejpam-6145	169	47	231	231	NUM
ejpam-6145	169	48	34	34	NUM
ejpam-6145	169	49	93	93	NUM
ejpam-6145	169	50	1000	1000	NUM
ejpam-6145	169	51	44	44	NUM
ejpam-6145	169	52	136	136	NUM
ejpam-6145	169	53	51	51	NUM
ejpam-6145	169	54	254	254	NUM
ejpam-6145	169	55	34	34	NUM
ejpam-6145	169	56	93	93	NUM
ejpam-6145	169	57	5000	5000	NUM
ejpam-6145	169	58	44	44	NUM
ejpam-6145	169	59	136	136	NUM
ejpam-6145	169	60	55	55	NUM
ejpam-6145	169	61	280	280	NUM
ejpam-6145	169	62	34	34	NUM
ejpam-6145	169	63	93	93	NUM
ejpam-6145	169	64	rosen	rosen	PROPN
ejpam-6145	169	65	4	4	NUM
ejpam-6145	169	66	30	30	NUM
ejpam-6145	169	67	83	83	NUM
ejpam-6145	169	68	30	30	NUM
ejpam-6145	169	69	83	83	NUM
ejpam-6145	169	70	16	16	NUM
ejpam-6145	169	71	44	44	NUM
ejpam-6145	169	72	10	10	NUM
ejpam-6145	169	73	30	30	NUM
ejpam-6145	169	74	83	83	NUM
ejpam-6145	169	75	30	30	NUM
ejpam-6145	169	76	83	83	NUM
ejpam-6145	169	77	16	16	NUM
ejpam-6145	169	78	44	44	NUM
ejpam-6145	169	79	100	100	NUM
ejpam-6145	169	80	30	30	NUM
ejpam-6145	169	81	83	83	NUM
ejpam-6145	169	82	30	30	NUM
ejpam-6145	169	83	83	83	NUM
ejpam-6145	169	84	17	17	NUM
ejpam-6145	169	85	47	47	NUM
ejpam-6145	169	86	500	500	NUM
ejpam-6145	169	87	30	30	NUM
ejpam-6145	169	88	83	83	NUM
ejpam-6145	169	89	30	30	NUM
ejpam-6145	169	90	83	83	NUM
ejpam-6145	169	91	17	17	NUM
ejpam-6145	169	92	47	47	NUM
ejpam-6145	169	93	1000	1000	NUM
ejpam-6145	169	94	30	30	NUM
ejpam-6145	169	95	83	83	NUM
ejpam-6145	169	96	30	30	NUM
ejpam-6145	169	97	83	83	NUM
ejpam-6145	169	98	17	17	NUM
ejpam-6145	169	99	47	47	NUM
ejpam-6145	169	100	5000	5000	NUM
ejpam-6145	169	101	30	30	NUM
ejpam-6145	169	102	83	83	NUM
ejpam-6145	169	103	30	30	NUM
ejpam-6145	169	104	83	83	NUM
ejpam-6145	169	105	17	17	NUM
ejpam-6145	169	106	47	47	NUM
ejpam-6145	169	107	miele	miele	NOUN
ejpam-6145	169	108	4	4	NUM
ejpam-6145	169	109	28	28	NUM
ejpam-6145	169	110	85	85	NUM
ejpam-6145	169	111	40	40	NUM
ejpam-6145	169	112	138	138	NUM
ejpam-6145	169	113	28	28	NUM
ejpam-6145	169	114	89	89	NUM
ejpam-6145	169	115	k.	k.	PROPN
ejpam-6145	169	116	j.	j.	PROPN
ejpam-6145	169	117	murad	murad	PROPN
ejpam-6145	169	118	,	,	PUNCT
ejpam-6145	169	119	s.	s.	PROPN
ejpam-6145	169	120	g.	g.	PROPN
ejpam-6145	169	121	shareef	shareef	PROPN
ejpam-6145	169	122	/	/	PUNCT
ejpam-6145	169	123	eur	eur	PROPN
ejpam-6145	169	124	.	.	PUNCT
ejpam-6145	170	1	j.	j.	PROPN
ejpam-6145	170	2	pure	pure	PROPN
ejpam-6145	170	3	appl	appl	PROPN
ejpam-6145	170	4	.	.	PROPN
ejpam-6145	170	5	math	math	PROPN
ejpam-6145	170	6	,	,	PUNCT
ejpam-6145	170	7	18	18	NUM
ejpam-6145	170	8	(	(	PUNCT
ejpam-6145	170	9	3	3	NUM
ejpam-6145	170	10	)	)	PUNCT
ejpam-6145	170	11	(	(	PUNCT
ejpam-6145	170	12	2025	2025	NUM
ejpam-6145	170	13	)	)	PUNCT
ejpam-6145	170	14	,	,	PUNCT
ejpam-6145	170	15	6145	6145	NUM
ejpam-6145	170	16	11	11	NUM
ejpam-6145	170	17	of	of	ADP
ejpam-6145	170	18	17	17	NUM
ejpam-6145	170	19	10	10	NUM
ejpam-6145	170	20	31	31	NUM
ejpam-6145	170	21	102	102	NUM
ejpam-6145	170	22	43	43	NUM
ejpam-6145	170	23	150	150	NUM
ejpam-6145	170	24	28	28	NUM
ejpam-6145	170	25	89	89	NUM
ejpam-6145	170	26	100	100	NUM
ejpam-6145	170	27	33	33	NUM
ejpam-6145	170	28	114	114	NUM
ejpam-6145	170	29	49	49	NUM
ejpam-6145	170	30	186	186	NUM
ejpam-6145	170	31	28	28	NUM
ejpam-6145	170	32	89	89	NUM
ejpam-6145	170	33	500	500	NUM
ejpam-6145	170	34	40	40	NUM
ejpam-6145	170	35	146	146	NUM
ejpam-6145	170	36	55	55	NUM
ejpam-6145	170	37	218	218	NUM
ejpam-6145	170	38	29	29	NUM
ejpam-6145	170	39	102	102	NUM
ejpam-6145	170	40	1000	1000	NUM
ejpam-6145	170	41	46	46	NUM
ejpam-6145	170	42	176	176	NUM
ejpam-6145	170	43	55	55	NUM
ejpam-6145	170	44	218	218	NUM
ejpam-6145	170	45	29	29	NUM
ejpam-6145	170	46	102	102	NUM
ejpam-6145	170	47	5000	5000	NUM
ejpam-6145	170	48	54	54	NUM
ejpam-6145	170	49	211	211	NUM
ejpam-6145	170	50	61	61	NUM
ejpam-6145	170	51	247	247	NUM
ejpam-6145	170	52	30	30	NUM
ejpam-6145	170	53	105	105	NUM
ejpam-6145	170	54	wood	wood	NOUN
ejpam-6145	170	55	4	4	NUM
ejpam-6145	170	56	30	30	NUM
ejpam-6145	170	57	68	68	NUM
ejpam-6145	170	58	30	30	NUM
ejpam-6145	170	59	68	68	NUM
ejpam-6145	170	60	26	26	NUM
ejpam-6145	170	61	60	60	NUM
ejpam-6145	170	62	10	10	NUM
ejpam-6145	170	63	30	30	NUM
ejpam-6145	170	64	68	68	NUM
ejpam-6145	170	65	30	30	NUM
ejpam-6145	170	66	68	68	NUM
ejpam-6145	170	67	26	26	NUM
ejpam-6145	170	68	60	60	NUM
ejpam-6145	170	69	100	100	NUM
ejpam-6145	170	70	30	30	NUM
ejpam-6145	170	71	68	68	NUM
ejpam-6145	170	72	30	30	NUM
ejpam-6145	170	73	68	68	NUM
ejpam-6145	170	74	26	26	NUM
ejpam-6145	170	75	60	60	NUM
ejpam-6145	170	76	500	500	NUM
ejpam-6145	170	77	30	30	NUM
ejpam-6145	170	78	68	68	NUM
ejpam-6145	170	79	30	30	NUM
ejpam-6145	170	80	68	68	NUM
ejpam-6145	170	81	26	26	NUM
ejpam-6145	170	82	60	60	NUM
ejpam-6145	170	83	1000	1000	NUM
ejpam-6145	170	84	30	30	NUM
ejpam-6145	170	85	68	68	NUM
ejpam-6145	170	86	30	30	NUM
ejpam-6145	170	87	68	68	NUM
ejpam-6145	170	88	26	26	NUM
ejpam-6145	170	89	60	60	NUM
ejpam-6145	170	90	5000	5000	NUM
ejpam-6145	170	91	30	30	NUM
ejpam-6145	170	92	68	68	NUM
ejpam-6145	170	93	30	30	NUM
ejpam-6145	170	94	68	68	NUM
ejpam-6145	170	95	27	27	NUM
ejpam-6145	170	96	62	62	NUM
ejpam-6145	170	97	sum	sum	NOUN
ejpam-6145	170	98	4	4	NUM
ejpam-6145	170	99	3	3	NUM
ejpam-6145	170	100	11	11	NUM
ejpam-6145	170	101	3	3	NUM
ejpam-6145	170	102	11	11	NUM
ejpam-6145	170	103	3	3	NUM
ejpam-6145	170	104	11	11	NUM
ejpam-6145	170	105	10	10	NUM
ejpam-6145	170	106	6	6	NUM
ejpam-6145	170	107	34	34	NUM
ejpam-6145	170	108	6	6	NUM
ejpam-6145	170	109	26	26	NUM
ejpam-6145	170	110	6	6	NUM
ejpam-6145	170	111	28	28	NUM
ejpam-6145	170	112	100	100	NUM
ejpam-6145	170	113	14	14	NUM
ejpam-6145	170	114	81	81	NUM
ejpam-6145	170	115	17	17	NUM
ejpam-6145	170	116	88	88	NUM
ejpam-6145	170	117	15	15	NUM
ejpam-6145	170	118	89	89	NUM
ejpam-6145	170	119	500	500	NUM
ejpam-6145	170	120	21	21	NUM
ejpam-6145	170	121	124	124	NUM
ejpam-6145	170	122	28	28	NUM
ejpam-6145	170	123	162	162	NUM
ejpam-6145	170	124	20	20	NUM
ejpam-6145	170	125	104	104	NUM
ejpam-6145	170	126	1000	1000	NUM
ejpam-6145	170	127	23	23	NUM
ejpam-6145	170	128	128	128	NUM
ejpam-6145	170	129	42	42	NUM
ejpam-6145	170	130	199	199	NUM
ejpam-6145	170	131	25	25	NUM
ejpam-6145	170	132	139	139	NUM
ejpam-6145	170	133	5000	5000	NUM
ejpam-6145	170	134	31	31	NUM
ejpam-6145	170	135	159	159	NUM
ejpam-6145	170	136	43	43	NUM
ejpam-6145	170	137	227	227	NUM
ejpam-6145	170	138	28	28	NUM
ejpam-6145	170	139	117	117	NUM
ejpam-6145	170	140	edger	edger	NOUN
ejpam-6145	170	141	4	4	NUM
ejpam-6145	170	142	5	5	NUM
ejpam-6145	170	143	14	14	NUM
ejpam-6145	170	144	5	5	NUM
ejpam-6145	170	145	14	14	NUM
ejpam-6145	170	146	5	5	NUM
ejpam-6145	170	147	14	14	NUM
ejpam-6145	170	148	10	10	NUM
ejpam-6145	170	149	5	5	NUM
ejpam-6145	170	150	14	14	NUM
ejpam-6145	170	151	5	5	NUM
ejpam-6145	170	152	14	14	NUM
ejpam-6145	170	153	5	5	NUM
ejpam-6145	170	154	14	14	NUM
ejpam-6145	170	155	100	100	NUM
ejpam-6145	170	156	5	5	NUM
ejpam-6145	170	157	14	14	NUM
ejpam-6145	170	158	5	5	NUM
ejpam-6145	170	159	14	14	NUM
ejpam-6145	170	160	5	5	NUM
ejpam-6145	170	161	14	14	NUM
ejpam-6145	170	162	500	500	NUM
ejpam-6145	170	163	6	6	NUM
ejpam-6145	170	164	16	16	NUM
ejpam-6145	170	165	6	6	NUM
ejpam-6145	170	166	16	16	NUM
ejpam-6145	170	167	5	5	NUM
ejpam-6145	170	168	14	14	NUM
ejpam-6145	170	169	1000	1000	NUM
ejpam-6145	170	170	6	6	NUM
ejpam-6145	170	171	16	16	NUM
ejpam-6145	170	172	6	6	NUM
ejpam-6145	170	173	16	16	NUM
ejpam-6145	170	174	5	5	NUM
ejpam-6145	170	175	14	14	NUM
ejpam-6145	170	176	5000	5000	NUM
ejpam-6145	170	177	6	6	NUM
ejpam-6145	170	178	16	16	NUM
ejpam-6145	170	179	6	6	NUM
ejpam-6145	170	180	16	16	NUM
ejpam-6145	170	181	6	6	NUM
ejpam-6145	170	182	17	17	NUM
ejpam-6145	170	183	shallow	shallow	ADJ
ejpam-6145	170	184	4	4	NUM
ejpam-6145	170	185	8	8	NUM
ejpam-6145	170	186	21	21	NUM
ejpam-6145	170	187	8	8	NUM
ejpam-6145	170	188	21	21	NUM
ejpam-6145	170	189	8	8	NUM
ejpam-6145	170	190	21	21	NUM
ejpam-6145	170	191	10	10	NUM
ejpam-6145	170	192	8	8	NUM
ejpam-6145	170	193	21	21	NUM
ejpam-6145	170	194	8	8	NUM
ejpam-6145	170	195	21	21	NUM
ejpam-6145	170	196	8	8	NUM
ejpam-6145	170	197	21	21	NUM
ejpam-6145	170	198	100	100	NUM
ejpam-6145	170	199	8	8	NUM
ejpam-6145	170	200	21	21	NUM
ejpam-6145	170	201	8	8	NUM
ejpam-6145	170	202	21	21	NUM
ejpam-6145	170	203	8	8	NUM
ejpam-6145	170	204	21	21	NUM
ejpam-6145	170	205	500	500	NUM
ejpam-6145	170	206	8	8	NUM
ejpam-6145	170	207	21	21	NUM
ejpam-6145	170	208	8	8	NUM
ejpam-6145	170	209	21	21	NUM
ejpam-6145	170	210	8	8	NUM
ejpam-6145	170	211	21	21	NUM
ejpam-6145	170	212	1000	1000	NUM
ejpam-6145	170	213	9	9	NUM
ejpam-6145	170	214	24	24	NUM
ejpam-6145	170	215	9	9	NUM
ejpam-6145	170	216	24	24	NUM
ejpam-6145	170	217	8	8	NUM
ejpam-6145	170	218	21	21	NUM
ejpam-6145	170	219	5000	5000	NUM
ejpam-6145	170	220	9	9	NUM
ejpam-6145	170	221	24	24	NUM
ejpam-6145	170	222	9	9	NUM
ejpam-6145	170	223	24	24	NUM
ejpam-6145	170	224	8	8	NUM
ejpam-6145	170	225	21	21	NUM
ejpam-6145	170	226	cubic	cubic	NOUN
ejpam-6145	170	227	4	4	NUM
ejpam-6145	170	228	12	12	NUM
ejpam-6145	170	229	35	35	NUM
ejpam-6145	170	230	22	22	NUM
ejpam-6145	170	231	141	141	NUM
ejpam-6145	170	232	12	12	NUM
ejpam-6145	170	233	35	35	NUM
ejpam-6145	170	234	10	10	NUM
ejpam-6145	170	235	13	13	NUM
ejpam-6145	170	236	37	37	NUM
ejpam-6145	170	237	22	22	NUM
ejpam-6145	170	238	141	141	NUM
ejpam-6145	170	239	13	13	NUM
ejpam-6145	170	240	37	37	NUM
ejpam-6145	170	241	100	100	NUM
ejpam-6145	170	242	13	13	NUM
ejpam-6145	170	243	37	37	NUM
ejpam-6145	170	244	22	22	NUM
ejpam-6145	170	245	141	141	NUM
ejpam-6145	170	246	13	13	NUM
ejpam-6145	170	247	37	37	NUM
ejpam-6145	170	248	500	500	NUM
ejpam-6145	170	249	13	13	NUM
ejpam-6145	170	250	37	37	NUM
ejpam-6145	170	251	22	22	NUM
ejpam-6145	170	252	141	141	NUM
ejpam-6145	170	253	13	13	NUM
ejpam-6145	170	254	37	37	NUM
ejpam-6145	170	255	1000	1000	NUM
ejpam-6145	170	256	13	13	NUM
ejpam-6145	170	257	37	37	NUM
ejpam-6145	170	258	22	22	NUM
ejpam-6145	170	259	141	141	NUM
ejpam-6145	170	260	13	13	NUM
ejpam-6145	170	261	37	37	NUM
ejpam-6145	170	262	5000	5000	NUM
ejpam-6145	170	263	13	13	NUM
ejpam-6145	170	264	37	37	NUM
ejpam-6145	170	265	22	22	NUM
ejpam-6145	170	266	141	141	NUM
ejpam-6145	170	267	13	13	NUM
ejpam-6145	170	268	37	37	NUM
ejpam-6145	170	269	beale	beale	NOUN
ejpam-6145	170	270	4	4	NUM
ejpam-6145	170	271	11	11	NUM
ejpam-6145	170	272	28	28	NUM
ejpam-6145	170	273	11	11	NUM
ejpam-6145	170	274	28	28	NUM
ejpam-6145	170	275	11	11	NUM
ejpam-6145	170	276	28	28	NUM
ejpam-6145	170	277	10	10	NUM
ejpam-6145	170	278	11	11	NUM
ejpam-6145	170	279	28	28	NUM
ejpam-6145	170	280	11	11	NUM
ejpam-6145	170	281	28	28	NUM
ejpam-6145	170	282	11	11	NUM
ejpam-6145	170	283	28	28	NUM
ejpam-6145	170	284	100	100	NUM
ejpam-6145	170	285	12	12	NUM
ejpam-6145	170	286	30	30	NUM
ejpam-6145	170	287	12	12	NUM
ejpam-6145	170	288	30	30	NUM
ejpam-6145	170	289	12	12	NUM
ejpam-6145	170	290	30	30	NUM
ejpam-6145	170	291	500	500	NUM
ejpam-6145	170	292	12	12	NUM
ejpam-6145	170	293	30	30	NUM
ejpam-6145	170	294	12	12	NUM
ejpam-6145	170	295	30	30	NUM
ejpam-6145	170	296	12	12	NUM
ejpam-6145	170	297	30	30	NUM
ejpam-6145	170	298	1000	1000	NUM
ejpam-6145	170	299	12	12	NUM
ejpam-6145	170	300	30	30	NUM
ejpam-6145	170	301	12	12	NUM
ejpam-6145	170	302	30	30	NUM
ejpam-6145	170	303	12	12	NUM
ejpam-6145	170	304	30	30	NUM
ejpam-6145	170	305	5000	5000	NUM
ejpam-6145	170	306	12	12	NUM
ejpam-6145	170	307	30	30	NUM
ejpam-6145	170	308	12	12	NUM
ejpam-6145	170	309	30	30	NUM
ejpam-6145	170	310	12	12	NUM
ejpam-6145	170	311	30	30	NUM
ejpam-6145	170	312	total	total	ADJ
ejpam-6145	170	313	1852	1852	NUM
ejpam-6145	170	314	5927	5927	NUM
ejpam-6145	170	315	2091	2091	NUM
ejpam-6145	170	316	9040	9040	NUM
ejpam-6145	170	317	1570	1570	NUM
ejpam-6145	170	318	4967	4967	NUM
ejpam-6145	170	319	k.	k.	PROPN
ejpam-6145	170	320	j.	j.	PROPN
ejpam-6145	170	321	murad	murad	PROPN
ejpam-6145	170	322	,	,	PUNCT
ejpam-6145	170	323	s.	s.	PROPN
ejpam-6145	170	324	g.	g.	PROPN
ejpam-6145	170	325	shareef	shareef	PROPN
ejpam-6145	170	326	/	/	PUNCT
ejpam-6145	170	327	eur	eur	PROPN
ejpam-6145	170	328	.	.	PUNCT
ejpam-6145	171	1	j.	j.	PROPN
ejpam-6145	171	2	pure	pure	PROPN
ejpam-6145	171	3	appl	appl	PROPN
ejpam-6145	171	4	.	.	PROPN
ejpam-6145	171	5	math	math	PROPN
ejpam-6145	171	6	,	,	PUNCT
ejpam-6145	171	7	18	18	NUM
ejpam-6145	171	8	(	(	PUNCT
ejpam-6145	171	9	3	3	NUM
ejpam-6145	171	10	)	)	PUNCT
ejpam-6145	171	11	(	(	PUNCT
ejpam-6145	171	12	2025	2025	NUM
ejpam-6145	171	13	)	)	PUNCT
ejpam-6145	171	14	,	,	PUNCT
ejpam-6145	171	15	6145	6145	NUM
ejpam-6145	171	16	12	12	NUM
ejpam-6145	171	17	of	of	ADP
ejpam-6145	171	18	17	17	NUM
ejpam-6145	171	19	table	table	NOUN
ejpam-6145	171	20	2	2	NUM
ejpam-6145	171	21	:	:	PUNCT
ejpam-6145	171	22	comparing	compare	VERB
ejpam-6145	171	23	the	the	DET
ejpam-6145	171	24	rate	rate	NOUN
ejpam-6145	171	25	of	of	ADP
ejpam-6145	171	26	improvement	improvement	NOUN
ejpam-6145	171	27	between	between	ADP
ejpam-6145	171	28	the	the	DET
ejpam-6145	171	29	new	new	ADJ
ejpam-6145	171	30	-	-	PUNCT
ejpam-6145	171	31	scg	scg	NOUN
ejpam-6145	171	32	method	method	NOUN
ejpam-6145	171	33	and	and	CCONJ
ejpam-6145	171	34	the	the	DET
ejpam-6145	171	35	classical	classical	ADJ
ejpam-6145	171	36	hs	hs	PROPN
ejpam-6145	171	37	and	and	CCONJ
ejpam-6145	171	38	b	b	PROPN
ejpam-6145	171	39	-	-	PUNCT
ejpam-6145	171	40	scg	scg	ADJ
ejpam-6145	171	41	methods	method	NOUN
ejpam-6145	171	42	.	.	PUNCT
ejpam-6145	172	1	methods	method	NOUN
ejpam-6145	172	2	noi	noi	PROPN
ejpam-6145	172	3	(	(	PUNCT
ejpam-6145	172	4	%	%	INTJ
ejpam-6145	172	5	)	)	PUNCT
ejpam-6145	172	6	nof	nof	PROPN
ejpam-6145	172	7	(	(	PUNCT
ejpam-6145	172	8	%	%	NOUN
ejpam-6145	172	9	)	)	PUNCT
ejpam-6145	172	10	classical	classical	ADJ
ejpam-6145	172	11	hs	hs	PROPN
ejpam-6145	172	12	100.00	100.00	NUM
ejpam-6145	172	13	100.00	100.00	NUM
ejpam-6145	172	14	new	new	ADJ
ejpam-6145	172	15	-	-	PUNCT
ejpam-6145	172	16	scg	scg	NOUN
ejpam-6145	172	17	84.77	84.77	NUM
ejpam-6145	172	18	83.80	83.80	NUM
ejpam-6145	172	19	b	b	X
ejpam-6145	172	20	-	-	PUNCT
ejpam-6145	172	21	scg	scg	NOUN
ejpam-6145	172	22	100.00	100.00	NUM
ejpam-6145	172	23	100.00	100.00	NUM
ejpam-6145	172	24	new	new	ADJ
ejpam-6145	172	25	-	-	PUNCT
ejpam-6145	172	26	scg	scg	NOUN
ejpam-6145	172	27	75.08	75.08	NUM
ejpam-6145	172	28	54.94	54.94	NUM
ejpam-6145	172	29	rate	rate	NOUN
ejpam-6145	172	30	of	of	ADP
ejpam-6145	172	31	improvement	improvement	NOUN
ejpam-6145	172	32	(	(	PUNCT
ejpam-6145	172	33	%	%	INTJ
ejpam-6145	172	34	)	)	PUNCT
ejpam-6145	172	35	compared	compare	VERB
ejpam-6145	172	36	with	with	ADP
ejpam-6145	172	37	noi	noi	PROPN
ejpam-6145	172	38	nof	nof	PROPN
ejpam-6145	172	39	classical	classical	PROPN
ejpam-6145	172	40	hs	hs	PROPN
ejpam-6145	172	41	15.23	15.23	NUM
ejpam-6145	172	42	16.20	16.20	NUM
ejpam-6145	172	43	b	b	X
ejpam-6145	172	44	-	-	PUNCT
ejpam-6145	172	45	scg	scg	NOUN
ejpam-6145	172	46	24.92	24.92	NUM
ejpam-6145	172	47	45.06	45.06	NUM
ejpam-6145	172	48	the	the	DET
ejpam-6145	172	49	table	table	NOUN
ejpam-6145	172	50	2	2	NUM
ejpam-6145	172	51	compares	compare	VERB
ejpam-6145	172	52	the	the	DET
ejpam-6145	172	53	performance	performance	NOUN
ejpam-6145	172	54	of	of	ADP
ejpam-6145	172	55	the	the	DET
ejpam-6145	172	56	proposed	propose	VERB
ejpam-6145	172	57	new	new	ADJ
ejpam-6145	172	58	-	-	PUNCT
ejpam-6145	172	59	scg	scg	NOUN
ejpam-6145	172	60	algorithm	algorithm	NOUN
ejpam-6145	172	61	with	with	ADP
ejpam-6145	172	62	both	both	CCONJ
ejpam-6145	172	63	the	the	DET
ejpam-6145	172	64	classical	classical	ADJ
ejpam-6145	172	65	hs	hs	PROPN
ejpam-6145	172	66	and	and	CCONJ
ejpam-6145	172	67	the	the	DET
ejpam-6145	172	68	b	b	PROPN
ejpam-6145	172	69	-	-	PUNCT
ejpam-6145	172	70	scg	scg	ADJ
ejpam-6145	172	71	methods	method	NOUN
ejpam-6145	172	72	in	in	ADP
ejpam-6145	172	73	terms	term	NOUN
ejpam-6145	172	74	of	of	ADP
ejpam-6145	172	75	the	the	DET
ejpam-6145	172	76	noi	noi	PROPN
ejpam-6145	172	77	and	and	CCONJ
ejpam-6145	172	78	the	the	DET
ejpam-6145	172	79	nof	nof	PROPN
ejpam-6145	172	80	.	.	PUNCT
ejpam-6145	173	1	the	the	DET
ejpam-6145	173	2	analysis	analysis	NOUN
ejpam-6145	173	3	of	of	ADP
ejpam-6145	173	4	the	the	DET
ejpam-6145	173	5	data	datum	NOUN
ejpam-6145	173	6	reveals	reveal	VERB
ejpam-6145	173	7	the	the	DET
ejpam-6145	173	8	following	follow	VERB
ejpam-6145	173	9	improvements	improvement	NOUN
ejpam-6145	173	10	:	:	PUNCT
ejpam-6145	173	11	•	•	NUM
ejpam-6145	173	12	compared	compare	VERB
ejpam-6145	173	13	with	with	ADP
ejpam-6145	173	14	classical	classical	ADJ
ejpam-6145	173	15	hs	hs	NOUN
ejpam-6145	173	16	:	:	PUNCT
ejpam-6145	173	17	–	–	PUNCT
ejpam-6145	173	18	improvement	improvement	NOUN
ejpam-6145	173	19	in	in	ADP
ejpam-6145	173	20	noi	noi	PROPN
ejpam-6145	173	21	:	:	PUNCT
ejpam-6145	173	22	the	the	DET
ejpam-6145	173	23	new	new	ADJ
ejpam-6145	173	24	-	-	PUNCT
ejpam-6145	173	25	scg	scg	NOUN
ejpam-6145	173	26	algorithm	algorithm	NOUN
ejpam-6145	173	27	achieves	achieve	VERB
ejpam-6145	173	28	a	a	DET
ejpam-6145	173	29	15.23	15.23	NUM
ejpam-6145	173	30	%	%	NOUN
ejpam-6145	173	31	reduction	reduction	NOUN
ejpam-6145	173	32	in	in	ADP
ejpam-6145	173	33	the	the	DET
ejpam-6145	173	34	noi	noi	PROPN
ejpam-6145	173	35	,	,	PUNCT
ejpam-6145	173	36	indicating	indicate	VERB
ejpam-6145	173	37	faster	fast	ADJ
ejpam-6145	173	38	convergence	convergence	NOUN
ejpam-6145	173	39	.	.	PUNCT
ejpam-6145	174	1	–	–	PUNCT
ejpam-6145	174	2	improvement	improvement	NOUN
ejpam-6145	174	3	in	in	ADP
ejpam-6145	174	4	nof	nof	PROPN
ejpam-6145	174	5	:	:	PUNCT
ejpam-6145	174	6	there	there	PRON
ejpam-6145	174	7	is	be	VERB
ejpam-6145	174	8	a	a	DET
ejpam-6145	174	9	16.20	16.20	NUM
ejpam-6145	174	10	%	%	NOUN
ejpam-6145	174	11	reduction	reduction	NOUN
ejpam-6145	174	12	in	in	ADP
ejpam-6145	174	13	the	the	DET
ejpam-6145	174	14	nof	nof	NOUN
ejpam-6145	174	15	,	,	PUNCT
ejpam-6145	174	16	suggesting	suggest	VERB
ejpam-6145	174	17	higher	high	ADJ
ejpam-6145	174	18	computational	computational	ADJ
ejpam-6145	174	19	efficiency	efficiency	NOUN
ejpam-6145	174	20	.	.	PUNCT
ejpam-6145	175	1	–	–	PUNCT
ejpam-6145	175	2	overall	overall	ADJ
ejpam-6145	175	3	average	average	ADJ
ejpam-6145	175	4	improvement	improvement	NOUN
ejpam-6145	175	5	:	:	PUNCT
ejpam-6145	175	6	the	the	DET
ejpam-6145	175	7	mean	mean	NOUN
ejpam-6145	175	8	of	of	ADP
ejpam-6145	175	9	both	both	DET
ejpam-6145	175	10	improvements	improvement	NOUN
ejpam-6145	175	11	(	(	PUNCT
ejpam-6145	175	12	noi	noi	PROPN
ejpam-6145	175	13	and	and	CCONJ
ejpam-6145	175	14	nof	nof	PROPN
ejpam-6145	175	15	)	)	PUNCT
ejpam-6145	175	16	is	be	AUX
ejpam-6145	175	17	approximately	approximately	ADV
ejpam-6145	175	18	15.72	15.72	NUM
ejpam-6145	175	19	%	%	NOUN
ejpam-6145	175	20	,	,	PUNCT
ejpam-6145	175	21	demonstrating	demonstrate	VERB
ejpam-6145	175	22	the	the	DET
ejpam-6145	175	23	new	new	ADJ
ejpam-6145	175	24	-	-	PUNCT
ejpam-6145	175	25	scg	scg	NOUN
ejpam-6145	175	26	method	method	NOUN
ejpam-6145	175	27	’s	’s	PART
ejpam-6145	175	28	significant	significant	ADJ
ejpam-6145	175	29	advantage	advantage	NOUN
ejpam-6145	175	30	over	over	ADP
ejpam-6145	175	31	the	the	DET
ejpam-6145	175	32	classical	classical	ADJ
ejpam-6145	175	33	hs	hs	PROPN
ejpam-6145	175	34	method	method	NOUN
ejpam-6145	175	35	.	.	PUNCT
ejpam-6145	176	1	•	•	NUM
ejpam-6145	177	1	compared	compare	VERB
ejpam-6145	177	2	with	with	ADP
ejpam-6145	177	3	b	b	NOUN
ejpam-6145	177	4	-	-	PUNCT
ejpam-6145	177	5	scg	scg	NOUN
ejpam-6145	177	6	:	:	PUNCT
ejpam-6145	177	7	–	–	PUNCT
ejpam-6145	177	8	improvement	improvement	NOUN
ejpam-6145	177	9	in	in	ADP
ejpam-6145	177	10	noi	noi	PROPN
ejpam-6145	177	11	:	:	PUNCT
ejpam-6145	177	12	the	the	DET
ejpam-6145	177	13	new	new	ADJ
ejpam-6145	177	14	-	-	PUNCT
ejpam-6145	177	15	scg	scg	NOUN
ejpam-6145	177	16	method	method	NOUN
ejpam-6145	177	17	reduces	reduce	VERB
ejpam-6145	177	18	the	the	DET
ejpam-6145	177	19	noi	noi	PROPN
ejpam-6145	177	20	by	by	ADP
ejpam-6145	177	21	24.92	24.92	NUM
ejpam-6145	177	22	%	%	NOUN
ejpam-6145	177	23	,	,	PUNCT
ejpam-6145	177	24	showing	show	VERB
ejpam-6145	177	25	a	a	DET
ejpam-6145	177	26	more	more	ADV
ejpam-6145	177	27	pronounced	pronounced	ADJ
ejpam-6145	177	28	convergence	convergence	NOUN
ejpam-6145	177	29	speedup	speedup	NOUN
ejpam-6145	177	30	.	.	PUNCT
ejpam-6145	178	1	–	–	PUNCT
ejpam-6145	178	2	improvement	improvement	NOUN
ejpam-6145	178	3	in	in	ADP
ejpam-6145	178	4	nof	nof	PROPN
ejpam-6145	178	5	:	:	PUNCT
ejpam-6145	178	6	the	the	DET
ejpam-6145	178	7	reduction	reduction	NOUN
ejpam-6145	178	8	in	in	ADP
ejpam-6145	178	9	function	function	NOUN
ejpam-6145	178	10	evaluations	evaluation	NOUN
ejpam-6145	178	11	reaches	reach	VERB
ejpam-6145	178	12	45.06	45.06	NUM
ejpam-6145	178	13	%	%	NOUN
ejpam-6145	178	14	,	,	PUNCT
ejpam-6145	178	15	highlighting	highlight	VERB
ejpam-6145	178	16	a	a	DET
ejpam-6145	178	17	substantial	substantial	ADJ
ejpam-6145	178	18	gain	gain	NOUN
ejpam-6145	178	19	in	in	ADP
ejpam-6145	178	20	computational	computational	ADJ
ejpam-6145	178	21	cost	cost	NOUN
ejpam-6145	178	22	.	.	PUNCT
ejpam-6145	179	1	–	–	PUNCT
ejpam-6145	179	2	overall	overall	ADJ
ejpam-6145	179	3	average	average	ADJ
ejpam-6145	179	4	improvement	improvement	NOUN
ejpam-6145	179	5	:	:	PUNCT
ejpam-6145	179	6	the	the	DET
ejpam-6145	179	7	average	average	NOUN
ejpam-6145	179	8	of	of	ADP
ejpam-6145	179	9	both	both	DET
ejpam-6145	179	10	metrics	metric	NOUN
ejpam-6145	179	11	yields	yield	VERB
ejpam-6145	179	12	an	an	DET
ejpam-6145	179	13	overall	overall	ADJ
ejpam-6145	179	14	improvement	improvement	NOUN
ejpam-6145	179	15	of	of	ADP
ejpam-6145	179	16	approximately	approximately	ADV
ejpam-6145	179	17	34.99	34.99	NUM
ejpam-6145	179	18	%	%	NOUN
ejpam-6145	179	19	,	,	PUNCT
ejpam-6145	179	20	clearly	clearly	ADV
ejpam-6145	179	21	indicating	indicate	VERB
ejpam-6145	179	22	that	that	SCONJ
ejpam-6145	179	23	the	the	DET
ejpam-6145	179	24	new	new	ADJ
ejpam-6145	179	25	-	-	PUNCT
ejpam-6145	179	26	scg	scg	NOUN
ejpam-6145	179	27	method	method	NOUN
ejpam-6145	179	28	outperforms	outperform	VERB
ejpam-6145	179	29	the	the	DET
ejpam-6145	179	30	b	b	PROPN
ejpam-6145	179	31	-	-	PUNCT
ejpam-6145	179	32	scg	scg	ADJ
ejpam-6145	179	33	method	method	NOUN
ejpam-6145	179	34	in	in	ADP
ejpam-6145	179	35	both	both	DET
ejpam-6145	179	36	convergence	convergence	NOUN
ejpam-6145	179	37	rate	rate	NOUN
ejpam-6145	179	38	and	and	CCONJ
ejpam-6145	179	39	computational	computational	ADJ
ejpam-6145	179	40	efficiency	efficiency	NOUN
ejpam-6145	179	41	.	.	PUNCT
ejpam-6145	180	1	these	these	DET
ejpam-6145	180	2	results	result	NOUN
ejpam-6145	180	3	confirm	confirm	VERB
ejpam-6145	180	4	that	that	SCONJ
ejpam-6145	180	5	the	the	DET
ejpam-6145	180	6	proposed	propose	VERB
ejpam-6145	180	7	new	new	ADJ
ejpam-6145	180	8	-	-	PUNCT
ejpam-6145	180	9	scg	scg	NOUN
ejpam-6145	180	10	algorithm	algorithm	NOUN
ejpam-6145	180	11	offers	offer	VERB
ejpam-6145	180	12	consistent	consistent	ADJ
ejpam-6145	180	13	and	and	CCONJ
ejpam-6145	180	14	notable	notable	ADJ
ejpam-6145	180	15	improvements	improvement	NOUN
ejpam-6145	180	16	over	over	ADP
ejpam-6145	180	17	both	both	CCONJ
ejpam-6145	180	18	classical	classical	ADJ
ejpam-6145	180	19	hs	hs	PROPN
ejpam-6145	180	20	and	and	CCONJ
ejpam-6145	180	21	b	b	PROPN
ejpam-6145	180	22	-	-	PUNCT
ejpam-6145	180	23	scg	scg	ADJ
ejpam-6145	180	24	methods	method	NOUN
ejpam-6145	180	25	.	.	PUNCT
ejpam-6145	181	1	its	its	PRON
ejpam-6145	181	2	reduced	reduced	ADJ
ejpam-6145	181	3	number	number	NOUN
ejpam-6145	181	4	of	of	ADP
ejpam-6145	181	5	iterations	iteration	NOUN
ejpam-6145	181	6	and	and	CCONJ
ejpam-6145	181	7	function	function	NOUN
ejpam-6145	181	8	evaluations	evaluation	NOUN
ejpam-6145	181	9	collectively	collectively	ADV
ejpam-6145	181	10	contribute	contribute	VERB
ejpam-6145	181	11	to	to	ADP
ejpam-6145	181	12	faster	fast	ADJ
ejpam-6145	181	13	and	and	CCONJ
ejpam-6145	181	14	more	more	ADJ
ejpam-6145	181	15	cost	cost	NOUN
ejpam-6145	181	16	-	-	PUNCT
ejpam-6145	181	17	effective	effective	ADJ
ejpam-6145	181	18	optimization	optimization	NOUN
ejpam-6145	181	19	performance	performance	NOUN
ejpam-6145	181	20	.	.	PUNCT
ejpam-6145	182	1	k.	k.	PROPN
ejpam-6145	182	2	j.	j.	PROPN
ejpam-6145	182	3	murad	murad	PROPN
ejpam-6145	182	4	,	,	PUNCT
ejpam-6145	182	5	s.	s.	PROPN
ejpam-6145	182	6	g.	g.	PROPN
ejpam-6145	182	7	shareef	shareef	PROPN
ejpam-6145	182	8	/	/	PUNCT
ejpam-6145	182	9	eur	eur	PROPN
ejpam-6145	182	10	.	.	PUNCT
ejpam-6145	183	1	j.	j.	PROPN
ejpam-6145	183	2	pure	pure	PROPN
ejpam-6145	183	3	appl	appl	PROPN
ejpam-6145	183	4	.	.	PROPN
ejpam-6145	183	5	math	math	PROPN
ejpam-6145	183	6	,	,	PUNCT
ejpam-6145	183	7	18	18	NUM
ejpam-6145	183	8	(	(	PUNCT
ejpam-6145	183	9	3	3	NUM
ejpam-6145	183	10	)	)	PUNCT
ejpam-6145	183	11	(	(	PUNCT
ejpam-6145	183	12	2025	2025	NUM
ejpam-6145	183	13	)	)	PUNCT
ejpam-6145	183	14	,	,	PUNCT
ejpam-6145	183	15	6145	6145	NUM
ejpam-6145	183	16	13	13	NUM
ejpam-6145	183	17	of	of	ADP
ejpam-6145	183	18	17	17	NUM
ejpam-6145	183	19	0	0	NUM
ejpam-6145	183	20	0.2	0.2	NUM
ejpam-6145	183	21	0.4	0.4	NUM
ejpam-6145	183	22	0.6	0.6	NUM
ejpam-6145	183	23	0.8	0.8	NUM
ejpam-6145	183	24	1	1	NUM
ejpam-6145	183	25	1.2	1.2	NUM
ejpam-6145	183	26	0	0	NUM
ejpam-6145	183	27	0.1	0.1	NUM
ejpam-6145	183	28	0.2	0.2	NUM
ejpam-6145	183	29	0.3	0.3	NUM
ejpam-6145	183	30	0.4	0.4	NUM
ejpam-6145	183	31	0.5	0.5	NUM
ejpam-6145	183	32	0.6	0.6	NUM
ejpam-6145	183	33	0.7	0.7	NUM
ejpam-6145	183	34	0.8	0.8	NUM
ejpam-6145	183	35	0.9	0.9	NUM
ejpam-6145	183	36	1	1	NUM
ejpam-6145	183	37	τ	τ	PROPN
ejpam-6145	183	38	p	p	X
ejpam-6145	183	39	s	s	X
ejpam-6145	183	40	(	(	PUNCT
ejpam-6145	183	41	τ	τ	PROPN
ejpam-6145	183	42	)	)	PUNCT
ejpam-6145	183	43	classical	classical	PROPN
ejpam-6145	183	44	hs	hs	PROPN
ejpam-6145	183	45	b−scg	b−scg	PROPN
ejpam-6145	183	46	new−scg	new−scg	PROPN
ejpam-6145	183	47	(	(	PUNCT
ejpam-6145	183	48	a	a	PRON
ejpam-6145	183	49	)	)	PUNCT
ejpam-6145	183	50	performance	performance	NOUN
ejpam-6145	183	51	profiles	profile	NOUN
ejpam-6145	183	52	based	base	VERB
ejpam-6145	183	53	on	on	ADP
ejpam-6145	183	54	the	the	DET
ejpam-6145	183	55	noi	noi	PROPN
ejpam-6145	183	56	.	.	PROPN
ejpam-6145	183	57	0	0	NUM
ejpam-6145	184	1	0.5	0.5	NUM
ejpam-6145	184	2	1	1	NUM
ejpam-6145	184	3	1.5	1.5	NUM
ejpam-6145	184	4	2	2	NUM
ejpam-6145	184	5	2.5	2.5	NUM
ejpam-6145	184	6	0	0	NUM
ejpam-6145	184	7	0.1	0.1	NUM
ejpam-6145	184	8	0.2	0.2	NUM
ejpam-6145	184	9	0.3	0.3	NUM
ejpam-6145	184	10	0.4	0.4	NUM
ejpam-6145	184	11	0.5	0.5	NUM
ejpam-6145	184	12	0.6	0.6	NUM
ejpam-6145	184	13	0.7	0.7	NUM
ejpam-6145	184	14	0.8	0.8	NUM
ejpam-6145	184	15	0.9	0.9	NUM
ejpam-6145	184	16	1	1	NUM
ejpam-6145	184	17	τ	τ	PROPN
ejpam-6145	184	18	p	p	X
ejpam-6145	184	19	s	s	X
ejpam-6145	184	20	(	(	PUNCT
ejpam-6145	184	21	τ	τ	PROPN
ejpam-6145	184	22	)	)	PUNCT
ejpam-6145	184	23	classical	classical	PROPN
ejpam-6145	185	1	hs	hs	PROPN
ejpam-6145	185	2	b−scg	b−scg	PROPN
ejpam-6145	185	3	new−scg	new−scg	PROPN
ejpam-6145	185	4	(	(	PUNCT
ejpam-6145	185	5	b	b	NOUN
ejpam-6145	185	6	)	)	PUNCT
ejpam-6145	185	7	performance	performance	NOUN
ejpam-6145	185	8	profiles	profile	NOUN
ejpam-6145	185	9	based	base	VERB
ejpam-6145	185	10	on	on	ADP
ejpam-6145	185	11	the	the	DET
ejpam-6145	185	12	nof	nof	PROPN
ejpam-6145	185	13	.	.	PUNCT
ejpam-6145	186	1	figure	figure	NOUN
ejpam-6145	186	2	1	1	NUM
ejpam-6145	186	3	:	:	PUNCT
ejpam-6145	186	4	performance	performance	NOUN
ejpam-6145	186	5	profiles	profile	NOUN
ejpam-6145	186	6	of	of	ADP
ejpam-6145	186	7	the	the	DET
ejpam-6145	186	8	new	new	ADJ
ejpam-6145	186	9	method	method	NOUN
ejpam-6145	186	10	.	.	PUNCT
ejpam-6145	187	1	5	5	X
ejpam-6145	187	2	.	.	X
ejpam-6145	187	3	conclusion	conclusion	NOUN
ejpam-6145	187	4	this	this	DET
ejpam-6145	187	5	paper	paper	NOUN
ejpam-6145	187	6	proposed	propose	VERB
ejpam-6145	187	7	a	a	DET
ejpam-6145	187	8	novel	novel	ADJ
ejpam-6145	187	9	search	search	NOUN
ejpam-6145	187	10	method	method	NOUN
ejpam-6145	187	11	,	,	PUNCT
ejpam-6145	187	12	the	the	DET
ejpam-6145	187	13	new	new	ADJ
ejpam-6145	187	14	-	-	PUNCT
ejpam-6145	187	15	scg	scg	NOUN
ejpam-6145	187	16	algorithm	algorithm	NOUN
ejpam-6145	187	17	,	,	PUNCT
ejpam-6145	187	18	designed	design	VERB
ejpam-6145	187	19	to	to	PART
ejpam-6145	187	20	enhance	enhance	VERB
ejpam-6145	187	21	the	the	DET
ejpam-6145	187	22	efficiency	efficiency	NOUN
ejpam-6145	187	23	of	of	ADP
ejpam-6145	187	24	large	large	ADJ
ejpam-6145	187	25	-	-	PUNCT
ejpam-6145	187	26	scale	scale	NOUN
ejpam-6145	187	27	unconstrained	unconstrained	ADJ
ejpam-6145	187	28	optimization	optimization	NOUN
ejpam-6145	187	29	problems	problem	NOUN
ejpam-6145	187	30	.	.	PUNCT
ejpam-6145	188	1	the	the	DET
ejpam-6145	188	2	theoretical	theoretical	ADJ
ejpam-6145	188	3	properties	property	NOUN
ejpam-6145	188	4	of	of	ADP
ejpam-6145	188	5	the	the	DET
ejpam-6145	188	6	method	method	NOUN
ejpam-6145	188	7	were	be	AUX
ejpam-6145	188	8	thoroughly	thoroughly	ADV
ejpam-6145	188	9	analyzed	analyze	VERB
ejpam-6145	188	10	,	,	PUNCT
ejpam-6145	188	11	including	include	VERB
ejpam-6145	188	12	proofs	proof	NOUN
ejpam-6145	188	13	for	for	ADP
ejpam-6145	188	14	both	both	PRON
ejpam-6145	188	15	descent	descent	NOUN
ejpam-6145	188	16	and	and	CCONJ
ejpam-6145	188	17	sufficient	sufficient	ADJ
ejpam-6145	188	18	descent	descent	NOUN
ejpam-6145	188	19	conditions	condition	NOUN
ejpam-6145	188	20	and	and	CCONJ
ejpam-6145	188	21	global	global	ADJ
ejpam-6145	188	22	convergent	convergent	NOUN
ejpam-6145	188	23	,	,	PUNCT
ejpam-6145	188	24	establishing	establish	VERB
ejpam-6145	188	25	its	its	PRON
ejpam-6145	188	26	robustness	robustness	NOUN
ejpam-6145	188	27	.	.	PUNCT
ejpam-6145	189	1	numerical	numerical	ADJ
ejpam-6145	189	2	evaluations	evaluation	NOUN
ejpam-6145	189	3	demonstrated	demonstrate	VERB
ejpam-6145	189	4	that	that	SCONJ
ejpam-6145	189	5	the	the	DET
ejpam-6145	189	6	new	new	ADJ
ejpam-6145	189	7	-	-	PUNCT
ejpam-6145	189	8	scg	scg	NOUN
ejpam-6145	189	9	algorithm	algorithm	NOUN
ejpam-6145	189	10	significantly	significantly	ADV
ejpam-6145	189	11	outperforms	outperform	VERB
ejpam-6145	189	12	classical	classical	ADJ
ejpam-6145	189	13	optimization	optimization	NOUN
ejpam-6145	189	14	methods	method	NOUN
ejpam-6145	189	15	such	such	ADJ
ejpam-6145	189	16	as	as	ADP
ejpam-6145	189	17	hs	hs	PROPN
ejpam-6145	189	18	and	and	CCONJ
ejpam-6145	189	19	b	b	PROPN
ejpam-6145	189	20	-	-	PUNCT
ejpam-6145	189	21	scg	scg	ADJ
ejpam-6145	189	22	methods	method	NOUN
ejpam-6145	189	23	.	.	PUNCT
ejpam-6145	190	1	specifically	specifically	ADV
ejpam-6145	190	2	,	,	PUNCT
ejpam-6145	190	3	the	the	DET
ejpam-6145	190	4	new	new	ADJ
ejpam-6145	190	5	-	-	PUNCT
ejpam-6145	190	6	scg	scg	NOUN
ejpam-6145	190	7	algorithm	algorithm	NOUN
ejpam-6145	190	8	achieved	achieve	VERB
ejpam-6145	190	9	a	a	DET
ejpam-6145	190	10	15.23	15.23	NUM
ejpam-6145	190	11	%	%	NOUN
ejpam-6145	190	12	reduction	reduction	NOUN
ejpam-6145	190	13	in	in	ADP
ejpam-6145	190	14	the	the	DET
ejpam-6145	190	15	noi	noi	PROPN
ejpam-6145	190	16	and	and	CCONJ
ejpam-6145	190	17	a	a	DET
ejpam-6145	190	18	16.20	16.20	NUM
ejpam-6145	190	19	%	%	NOUN
ejpam-6145	190	20	reduction	reduction	NOUN
ejpam-6145	190	21	in	in	ADP
ejpam-6145	190	22	the	the	DET
ejpam-6145	190	23	nof	nof	NOUN
ejpam-6145	190	24	when	when	SCONJ
ejpam-6145	190	25	compared	compare	VERB
ejpam-6145	190	26	to	to	ADP
ejpam-6145	190	27	the	the	DET
ejpam-6145	190	28	hs	hs	PROPN
ejpam-6145	190	29	method	method	NOUN
ejpam-6145	190	30	.	.	PUNCT
ejpam-6145	191	1	in	in	ADP
ejpam-6145	191	2	comparison	comparison	NOUN
ejpam-6145	191	3	to	to	ADP
ejpam-6145	191	4	b	b	NOUN
ejpam-6145	191	5	-	-	PUNCT
ejpam-6145	191	6	scg	scg	NOUN
ejpam-6145	191	7	,	,	PUNCT
ejpam-6145	191	8	the	the	DET
ejpam-6145	191	9	new	new	ADJ
ejpam-6145	191	10	-	-	PUNCT
ejpam-6145	191	11	scg	scg	NOUN
ejpam-6145	191	12	method	method	NOUN
ejpam-6145	191	13	showed	show	VERB
ejpam-6145	191	14	even	even	ADV
ejpam-6145	191	15	more	more	ADV
ejpam-6145	191	16	substantial	substantial	ADJ
ejpam-6145	191	17	improvements	improvement	NOUN
ejpam-6145	191	18	,	,	PUNCT
ejpam-6145	191	19	with	with	ADP
ejpam-6145	191	20	reductions	reduction	NOUN
ejpam-6145	191	21	of	of	ADP
ejpam-6145	191	22	24.92	24.92	NUM
ejpam-6145	191	23	%	%	NOUN
ejpam-6145	191	24	in	in	ADP
ejpam-6145	191	25	noi	noi	PROPN
ejpam-6145	191	26	and	and	CCONJ
ejpam-6145	191	27	45.06	45.06	NUM
ejpam-6145	191	28	%	%	NOUN
ejpam-6145	191	29	in	in	ADP
ejpam-6145	191	30	nof	nof	PROPN
ejpam-6145	191	31	.	.	PUNCT
ejpam-6145	192	1	these	these	DET
ejpam-6145	192	2	findings	finding	NOUN
ejpam-6145	192	3	underscore	underscore	VERB
ejpam-6145	192	4	the	the	DET
ejpam-6145	192	5	superior	superior	ADJ
ejpam-6145	192	6	efficiency	efficiency	NOUN
ejpam-6145	192	7	of	of	ADP
ejpam-6145	192	8	the	the	DET
ejpam-6145	192	9	new	new	ADJ
ejpam-6145	192	10	-	-	PUNCT
ejpam-6145	192	11	scg	scg	NOUN
ejpam-6145	192	12	method	method	NOUN
ejpam-6145	192	13	in	in	ADP
ejpam-6145	192	14	reducing	reduce	VERB
ejpam-6145	192	15	computational	computational	ADJ
ejpam-6145	192	16	costs	cost	NOUN
ejpam-6145	192	17	while	while	SCONJ
ejpam-6145	192	18	enhancing	enhance	VERB
ejpam-6145	192	19	convergence	convergence	NOUN
ejpam-6145	192	20	speed	speed	NOUN
ejpam-6145	192	21	.	.	PUNCT
ejpam-6145	193	1	to	to	PART
ejpam-6145	193	2	provide	provide	VERB
ejpam-6145	193	3	a	a	DET
ejpam-6145	193	4	more	more	ADV
ejpam-6145	193	5	comprehensive	comprehensive	ADJ
ejpam-6145	193	6	assessment	assessment	NOUN
ejpam-6145	193	7	,	,	PUNCT
ejpam-6145	193	8	future	future	ADJ
ejpam-6145	193	9	studies	study	NOUN
ejpam-6145	193	10	will	will	AUX
ejpam-6145	193	11	expand	expand	VERB
ejpam-6145	193	12	the	the	DET
ejpam-6145	193	13	evaluation	evaluation	NOUN
ejpam-6145	193	14	of	of	ADP
ejpam-6145	193	15	the	the	DET
ejpam-6145	193	16	new	new	ADJ
ejpam-6145	193	17	-	-	PUNCT
ejpam-6145	193	18	scg	scg	NOUN
ejpam-6145	193	19	algorithm	algorithm	NOUN
ejpam-6145	193	20	by	by	ADP
ejpam-6145	193	21	applying	apply	VERB
ejpam-6145	193	22	it	it	PRON
ejpam-6145	193	23	to	to	ADP
ejpam-6145	193	24	non	non	ADJ
ejpam-6145	193	25	-	-	ADJ
ejpam-6145	193	26	convex	convex	ADJ
ejpam-6145	193	27	and	and	CCONJ
ejpam-6145	193	28	non	non	ADJ
ejpam-6145	193	29	-	-	ADJ
ejpam-6145	193	30	smooth	smooth	ADJ
ejpam-6145	193	31	optimization	optimization	NOUN
ejpam-6145	193	32	problems	problem	NOUN
ejpam-6145	193	33	,	,	PUNCT
ejpam-6145	193	34	which	which	PRON
ejpam-6145	193	35	are	be	AUX
ejpam-6145	193	36	typically	typically	ADV
ejpam-6145	193	37	more	more	ADV
ejpam-6145	193	38	complex	complex	ADJ
ejpam-6145	193	39	both	both	CCONJ
ejpam-6145	193	40	theoretically	theoretically	ADV
ejpam-6145	193	41	and	and	CCONJ
ejpam-6145	193	42	computationally	computationally	ADV
ejpam-6145	193	43	.	.	PUNCT
ejpam-6145	194	1	furthermore	furthermore	ADV
ejpam-6145	194	2	,	,	PUNCT
ejpam-6145	194	3	comparisons	comparison	NOUN
ejpam-6145	194	4	will	will	AUX
ejpam-6145	194	5	be	be	AUX
ejpam-6145	194	6	made	make	VERB
ejpam-6145	194	7	with	with	ADP
ejpam-6145	194	8	other	other	ADJ
ejpam-6145	194	9	optimization	optimization	NOUN
ejpam-6145	194	10	techniques	technique	NOUN
ejpam-6145	194	11	widely	widely	ADV
ejpam-6145	194	12	used	use	VERB
ejpam-6145	194	13	in	in	ADP
ejpam-6145	194	14	real	real	ADJ
ejpam-6145	194	15	-	-	PUNCT
ejpam-6145	194	16	world	world	NOUN
ejpam-6145	194	17	applications	application	NOUN
ejpam-6145	194	18	,	,	PUNCT
ejpam-6145	194	19	such	such	ADJ
ejpam-6145	194	20	as	as	ADP
ejpam-6145	194	21	in	in	ADP
ejpam-6145	194	22	engineering	engineering	NOUN
ejpam-6145	194	23	design	design	NOUN
ejpam-6145	194	24	,	,	PUNCT
ejpam-6145	194	25	control	control	NOUN
ejpam-6145	194	26	systems	system	NOUN
ejpam-6145	194	27	,	,	PUNCT
ejpam-6145	194	28	and	and	CCONJ
ejpam-6145	194	29	machine	machine	NOUN
ejpam-6145	194	30	learning	learning	NOUN
ejpam-6145	194	31	.	.	PUNCT
ejpam-6145	195	1	this	this	DET
ejpam-6145	195	2	broader	broad	ADJ
ejpam-6145	195	3	scope	scope	NOUN
ejpam-6145	195	4	will	will	AUX
ejpam-6145	195	5	help	help	VERB
ejpam-6145	195	6	evaluate	evaluate	VERB
ejpam-6145	195	7	the	the	DET
ejpam-6145	195	8	algorithm	algorithm	NOUN
ejpam-6145	195	9	’s	’s	PART
ejpam-6145	195	10	general	general	ADJ
ejpam-6145	195	11	applicability	applicability	NOUN
ejpam-6145	195	12	in	in	ADP
ejpam-6145	195	13	solving	solve	VERB
ejpam-6145	195	14	diverse	diverse	ADJ
ejpam-6145	195	15	,	,	PUNCT
ejpam-6145	195	16	real	real	ADJ
ejpam-6145	195	17	-	-	PUNCT
ejpam-6145	195	18	world	world	NOUN
ejpam-6145	195	19	optimization	optimization	NOUN
ejpam-6145	195	20	problems	problem	NOUN
ejpam-6145	195	21	.	.	PUNCT
ejpam-6145	196	1	while	while	SCONJ
ejpam-6145	196	2	this	this	DET
ejpam-6145	196	3	study	study	NOUN
ejpam-6145	196	4	focuses	focus	VERB
ejpam-6145	196	5	primarily	primarily	ADV
ejpam-6145	196	6	on	on	ADP
ejpam-6145	196	7	the	the	DET
ejpam-6145	196	8	theoretical	theoretical	ADJ
ejpam-6145	196	9	and	and	CCONJ
ejpam-6145	196	10	numerical	numerical	ADJ
ejpam-6145	196	11	analysis	analysis	NOUN
ejpam-6145	196	12	of	of	ADP
ejpam-6145	196	13	the	the	DET
ejpam-6145	196	14	new	new	ADJ
ejpam-6145	196	15	-	-	PUNCT
ejpam-6145	196	16	scg	scg	NOUN
ejpam-6145	196	17	algorithm	algorithm	NOUN
ejpam-6145	196	18	,	,	PUNCT
ejpam-6145	196	19	future	future	ADJ
ejpam-6145	196	20	research	research	NOUN
ejpam-6145	196	21	will	will	AUX
ejpam-6145	196	22	explore	explore	VERB
ejpam-6145	196	23	its	its	PRON
ejpam-6145	196	24	practical	practical	ADJ
ejpam-6145	196	25	implications	implication	NOUN
ejpam-6145	196	26	,	,	PUNCT
ejpam-6145	196	27	especially	especially	ADV
ejpam-6145	196	28	in	in	ADP
ejpam-6145	196	29	engineering	engineering	NOUN
ejpam-6145	196	30	fields	field	NOUN
ejpam-6145	196	31	.	.	PUNCT
ejpam-6145	197	1	for	for	ADP
ejpam-6145	197	2	example	example	NOUN
ejpam-6145	197	3	,	,	PUNCT
ejpam-6145	197	4	applications	application	NOUN
ejpam-6145	197	5	in	in	ADP
ejpam-6145	197	6	structural	structural	ADJ
ejpam-6145	197	7	optimization	optimization	NOUN
ejpam-6145	197	8	,	,	PUNCT
ejpam-6145	197	9	process	process	NOUN
ejpam-6145	197	10	k.	k.	PROPN
ejpam-6145	197	11	j.	j.	PROPN
ejpam-6145	197	12	murad	murad	PROPN
ejpam-6145	197	13	,	,	PUNCT
ejpam-6145	197	14	s.	s.	PROPN
ejpam-6145	197	15	g.	g.	PROPN
ejpam-6145	197	16	shareef	shareef	PROPN
ejpam-6145	197	17	/	/	PUNCT
ejpam-6145	197	18	eur	eur	PROPN
ejpam-6145	197	19	.	.	PUNCT
ejpam-6145	198	1	j.	j.	PROPN
ejpam-6145	198	2	pure	pure	PROPN
ejpam-6145	198	3	appl	appl	PROPN
ejpam-6145	198	4	.	.	PROPN
ejpam-6145	198	5	math	math	PROPN
ejpam-6145	198	6	,	,	PUNCT
ejpam-6145	198	7	18	18	NUM
ejpam-6145	198	8	(	(	PUNCT
ejpam-6145	198	9	3	3	NUM
ejpam-6145	198	10	)	)	PUNCT
ejpam-6145	198	11	(	(	PUNCT
ejpam-6145	198	12	2025	2025	NUM
ejpam-6145	198	13	)	)	PUNCT
ejpam-6145	198	14	,	,	PUNCT
ejpam-6145	198	15	6145	6145	NUM
ejpam-6145	198	16	14	14	NUM
ejpam-6145	198	17	of	of	ADP
ejpam-6145	198	18	17	17	NUM
ejpam-6145	198	19	control	control	NOUN
ejpam-6145	198	20	,	,	PUNCT
ejpam-6145	198	21	and	and	CCONJ
ejpam-6145	198	22	large	large	ADJ
ejpam-6145	198	23	-	-	PUNCT
ejpam-6145	198	24	scale	scale	NOUN
ejpam-6145	198	25	machine	machine	NOUN
ejpam-6145	198	26	learning	learning	NOUN
ejpam-6145	198	27	models	model	NOUN
ejpam-6145	198	28	could	could	AUX
ejpam-6145	198	29	benefit	benefit	VERB
ejpam-6145	198	30	from	from	ADP
ejpam-6145	198	31	the	the	DET
ejpam-6145	198	32	improved	improved	ADJ
ejpam-6145	198	33	computational	computational	ADJ
ejpam-6145	198	34	efficiency	efficiency	NOUN
ejpam-6145	198	35	and	and	CCONJ
ejpam-6145	198	36	reduced	reduce	VERB
ejpam-6145	198	37	cost	cost	NOUN
ejpam-6145	198	38	associated	associate	VERB
ejpam-6145	198	39	with	with	ADP
ejpam-6145	198	40	this	this	DET
ejpam-6145	198	41	method	method	NOUN
ejpam-6145	198	42	.	.	PUNCT
ejpam-6145	199	1	in	in	ADP
ejpam-6145	199	2	addition	addition	NOUN
ejpam-6145	199	3	to	to	ADP
ejpam-6145	199	4	these	these	DET
ejpam-6145	199	5	practical	practical	ADJ
ejpam-6145	199	6	considerations	consideration	NOUN
ejpam-6145	199	7	,	,	PUNCT
ejpam-6145	199	8	future	future	ADJ
ejpam-6145	199	9	work	work	NOUN
ejpam-6145	199	10	will	will	AUX
ejpam-6145	199	11	address	address	VERB
ejpam-6145	199	12	the	the	DET
ejpam-6145	199	13	limitations	limitation	NOUN
ejpam-6145	199	14	of	of	ADP
ejpam-6145	199	15	the	the	DET
ejpam-6145	199	16	proposed	propose	VERB
ejpam-6145	199	17	algorithm	algorithm	NOUN
ejpam-6145	199	18	.	.	PUNCT
ejpam-6145	200	1	in	in	ADP
ejpam-6145	200	2	particular	particular	ADJ
ejpam-6145	200	3	,	,	PUNCT
ejpam-6145	200	4	further	further	ADJ
ejpam-6145	200	5	analysis	analysis	NOUN
ejpam-6145	200	6	is	be	AUX
ejpam-6145	200	7	needed	need	VERB
ejpam-6145	200	8	on	on	ADP
ejpam-6145	200	9	the	the	DET
ejpam-6145	200	10	algorithm	algorithm	NOUN
ejpam-6145	200	11	’s	’s	PART
ejpam-6145	200	12	performance	performance	NOUN
ejpam-6145	200	13	in	in	ADP
ejpam-6145	200	14	the	the	DET
ejpam-6145	200	15	presence	presence	NOUN
ejpam-6145	200	16	of	of	ADP
ejpam-6145	200	17	ill	ill	ADV
ejpam-6145	200	18	-	-	PUNCT
ejpam-6145	200	19	conditioned	condition	VERB
ejpam-6145	200	20	optimization	optimization	NOUN
ejpam-6145	200	21	problems	problem	NOUN
ejpam-6145	200	22	,	,	PUNCT
ejpam-6145	200	23	where	where	SCONJ
ejpam-6145	200	24	traditional	traditional	ADJ
ejpam-6145	200	25	methods	method	NOUN
ejpam-6145	200	26	may	may	AUX
ejpam-6145	200	27	struggle	struggle	VERB
ejpam-6145	200	28	.	.	PUNCT
ejpam-6145	201	1	future	future	ADJ
ejpam-6145	201	2	versions	version	NOUN
ejpam-6145	201	3	of	of	ADP
ejpam-6145	201	4	the	the	DET
ejpam-6145	201	5	new	new	ADJ
ejpam-6145	201	6	-	-	PUNCT
ejpam-6145	201	7	scg	scg	NOUN
ejpam-6145	201	8	algorithm	algorithm	NOUN
ejpam-6145	201	9	will	will	AUX
ejpam-6145	201	10	also	also	ADV
ejpam-6145	201	11	seek	seek	VERB
ejpam-6145	201	12	to	to	PART
ejpam-6145	201	13	extend	extend	VERB
ejpam-6145	201	14	its	its	PRON
ejpam-6145	201	15	applicability	applicability	NOUN
ejpam-6145	201	16	to	to	ADP
ejpam-6145	201	17	constrained	constrain	VERB
ejpam-6145	201	18	optimization	optimization	NOUN
ejpam-6145	201	19	problems	problem	NOUN
ejpam-6145	201	20	and	and	CCONJ
ejpam-6145	201	21	non	non	ADJ
ejpam-6145	201	22	-	-	ADJ
ejpam-6145	201	23	smooth	smooth	ADJ
ejpam-6145	201	24	objective	objective	ADJ
ejpam-6145	201	25	functions	function	NOUN
ejpam-6145	201	26	,	,	PUNCT
ejpam-6145	201	27	ensuring	ensure	VERB
ejpam-6145	201	28	that	that	SCONJ
ejpam-6145	201	29	it	it	PRON
ejpam-6145	201	30	can	can	AUX
ejpam-6145	201	31	handle	handle	VERB
ejpam-6145	201	32	a	a	DET
ejpam-6145	201	33	broader	broad	ADJ
ejpam-6145	201	34	class	class	NOUN
ejpam-6145	201	35	of	of	ADP
ejpam-6145	201	36	problems	problem	NOUN
ejpam-6145	201	37	encountered	encounter	VERB
ejpam-6145	201	38	in	in	ADP
ejpam-6145	201	39	engineering	engineering	NOUN
ejpam-6145	201	40	and	and	CCONJ
ejpam-6145	201	41	industrial	industrial	ADJ
ejpam-6145	201	42	applications	application	NOUN
ejpam-6145	201	43	.	.	PUNCT
ejpam-6145	202	1	in	in	ADP
ejpam-6145	202	2	summary	summary	NOUN
ejpam-6145	202	3	,	,	PUNCT
ejpam-6145	202	4	the	the	DET
ejpam-6145	202	5	new	new	ADJ
ejpam-6145	202	6	-	-	PUNCT
ejpam-6145	202	7	scg	scg	NOUN
ejpam-6145	202	8	algorithm	algorithm	NOUN
ejpam-6145	202	9	presents	present	VERB
ejpam-6145	202	10	a	a	DET
ejpam-6145	202	11	promising	promising	ADJ
ejpam-6145	202	12	advancement	advancement	NOUN
ejpam-6145	202	13	in	in	ADP
ejpam-6145	202	14	large	large	ADJ
ejpam-6145	202	15	-	-	PUNCT
ejpam-6145	202	16	scale	scale	NOUN
ejpam-6145	202	17	unconstrained	unconstrained	ADJ
ejpam-6145	202	18	optimization	optimization	NOUN
ejpam-6145	202	19	.	.	PUNCT
ejpam-6145	203	1	with	with	ADP
ejpam-6145	203	2	its	its	PRON
ejpam-6145	203	3	superior	superior	ADJ
ejpam-6145	203	4	computational	computational	ADJ
ejpam-6145	203	5	efficiency	efficiency	NOUN
ejpam-6145	203	6	and	and	CCONJ
ejpam-6145	203	7	theoretical	theoretical	ADJ
ejpam-6145	203	8	foundation	foundation	NOUN
ejpam-6145	203	9	,	,	PUNCT
ejpam-6145	203	10	it	it	PRON
ejpam-6145	203	11	holds	hold	VERB
ejpam-6145	203	12	significant	significant	ADJ
ejpam-6145	203	13	potential	potential	NOUN
ejpam-6145	203	14	for	for	ADP
ejpam-6145	203	15	a	a	DET
ejpam-6145	203	16	wide	wide	ADJ
ejpam-6145	203	17	range	range	NOUN
ejpam-6145	203	18	of	of	ADP
ejpam-6145	203	19	practical	practical	ADJ
ejpam-6145	203	20	applications	application	NOUN
ejpam-6145	203	21	,	,	PUNCT
ejpam-6145	203	22	while	while	SCONJ
ejpam-6145	203	23	offering	offer	VERB
ejpam-6145	203	24	several	several	ADJ
ejpam-6145	203	25	avenues	avenue	NOUN
ejpam-6145	203	26	for	for	ADP
ejpam-6145	203	27	future	future	ADJ
ejpam-6145	203	28	enhancement	enhancement	NOUN
ejpam-6145	203	29	and	and	CCONJ
ejpam-6145	203	30	refinement	refinement	NOUN
ejpam-6145	203	31	.	.	PUNCT
ejpam-6145	204	1	references	reference	NOUN
ejpam-6145	204	2	[	[	X
ejpam-6145	204	3	1	1	NUM
ejpam-6145	204	4	]	]	PUNCT
ejpam-6145	204	5	a.	a.	PROPN
ejpam-6145	204	6	l.	l.	PROPN
ejpam-6145	204	7	ibrahim	ibrahim	PROPN
ejpam-6145	204	8	,	,	PUNCT
ejpam-6145	204	9	b.	b.	PROPN
ejpam-6145	204	10	g.	g.	PROPN
ejpam-6145	204	11	fathi	fathi	PROPN
ejpam-6145	204	12	,	,	PUNCT
ejpam-6145	204	13	and	and	CCONJ
ejpam-6145	204	14	m.	m.	PROPN
ejpam-6145	204	15	b.	b.	PROPN
ejpam-6145	204	16	abdulrazzaq	abdulrazzaq	PROPN
ejpam-6145	204	17	.	.	PUNCT
ejpam-6145	205	1	improving	improve	VERB
ejpam-6145	205	2	three	three	NUM
ejpam-6145	205	3	-	-	PUNCT
ejpam-6145	205	4	term	term	NOUN
ejpam-6145	205	5	conjugate	conjugate	ADJ
ejpam-6145	205	6	gradient	gradient	NOUN
ejpam-6145	205	7	methods	method	NOUN
ejpam-6145	205	8	for	for	ADP
ejpam-6145	205	9	training	train	VERB
ejpam-6145	205	10	artificial	artificial	ADJ
ejpam-6145	205	11	neural	neural	ADJ
ejpam-6145	205	12	networks	network	NOUN
ejpam-6145	205	13	in	in	ADP
ejpam-6145	205	14	accurate	accurate	ADJ
ejpam-6145	205	15	heart	heart	NOUN
ejpam-6145	205	16	disease	disease	NOUN
ejpam-6145	205	17	prediction	prediction	NOUN
ejpam-6145	205	18	.	.	PUNCT
ejpam-6145	206	1	neural	neural	ADJ
ejpam-6145	206	2	computing	computing	NOUN
ejpam-6145	206	3	and	and	CCONJ
ejpam-6145	206	4	applications	application	NOUN
ejpam-6145	206	5	,	,	PUNCT
ejpam-6145	206	6	2025	2025	NUM
ejpam-6145	206	7	.	.	PUNCT
ejpam-6145	207	1	[	[	X
ejpam-6145	207	2	2	2	NUM
ejpam-6145	207	3	]	]	PUNCT
ejpam-6145	207	4	b.	b.	PROPN
ejpam-6145	207	5	a.	a.	PROPN
ejpam-6145	207	6	hassan	hassan	PROPN
ejpam-6145	207	7	,	,	PUNCT
ejpam-6145	207	8	i.	i.	PROPN
ejpam-6145	207	9	a.	a.	PROPN
ejpam-6145	207	10	r.	r.	PROPN
ejpam-6145	207	11	moghrabi	moghrabi	PROPN
ejpam-6145	207	12	,	,	PUNCT
ejpam-6145	207	13	a.	a.	PROPN
ejpam-6145	207	14	l.	l.	PROPN
ejpam-6145	207	15	ibrahim	ibrahim	PROPN
ejpam-6145	207	16	,	,	PUNCT
ejpam-6145	207	17	and	and	CCONJ
ejpam-6145	207	18	h.	h.	PROPN
ejpam-6145	207	19	n.	n.	PROPN
ejpam-6145	207	20	jabbar	jabbar	PROPN
ejpam-6145	207	21	.	.	PUNCT
ejpam-6145	207	22	improved	improve	VERB
ejpam-6145	207	23	conjugate	conjugate	ADJ
ejpam-6145	207	24	gradient	gradient	NOUN
ejpam-6145	207	25	methods	method	NOUN
ejpam-6145	207	26	for	for	ADP
ejpam-6145	207	27	unconstrained	unconstrained	ADJ
ejpam-6145	207	28	minimization	minimization	NOUN
ejpam-6145	207	29	problems	problem	NOUN
ejpam-6145	207	30	and	and	CCONJ
ejpam-6145	207	31	training	train	VERB
ejpam-6145	207	32	recurrent	recurrent	ADJ
ejpam-6145	207	33	neural	neural	ADJ
ejpam-6145	207	34	network	network	NOUN
ejpam-6145	207	35	.	.	PUNCT
ejpam-6145	208	1	engineering	engineering	NOUN
ejpam-6145	208	2	reports	report	NOUN
ejpam-6145	208	3	,	,	PUNCT
ejpam-6145	208	4	7	7	NUM
ejpam-6145	208	5	:	:	SYM
ejpam-6145	208	6	e70019	e70019	NUM
ejpam-6145	208	7	,	,	PUNCT
ejpam-6145	208	8	2025	2025	NUM
ejpam-6145	208	9	.	.	PUNCT
ejpam-6145	209	1	[	[	X
ejpam-6145	209	2	3	3	X
ejpam-6145	209	3	]	]	X
ejpam-6145	209	4	d.	d.	PROPN
ejpam-6145	209	5	h.	h.	PROPN
ejpam-6145	209	6	omar	omar	PROPN
ejpam-6145	209	7	,	,	PUNCT
ejpam-6145	209	8	a.	a.	PROPN
ejpam-6145	209	9	l.	l.	PROPN
ejpam-6145	209	10	ibrahim	ibrahim	PROPN
ejpam-6145	209	11	,	,	PUNCT
ejpam-6145	209	12	m.	m.	NOUN
ejpam-6145	209	13	m.	m.	PROPN
ejpam-6145	209	14	hassan	hassan	PROPN
ejpam-6145	209	15	,	,	PUNCT
ejpam-6145	209	16	b.	b.	PROPN
ejpam-6145	209	17	g.	g.	PROPN
ejpam-6145	209	18	fathi	fathi	PROPN
ejpam-6145	209	19	,	,	PUNCT
ejpam-6145	209	20	and	and	CCONJ
ejpam-6145	209	21	d.	d.	PROPN
ejpam-6145	209	22	a.	a.	PROPN
ejpam-6145	209	23	sulaiman	sulaiman	PROPN
ejpam-6145	209	24	.	.	PUNCT
ejpam-6145	210	1	enhanced	enhance	VERB
ejpam-6145	210	2	conjugate	conjugate	ADJ
ejpam-6145	210	3	gradient	gradient	NOUN
ejpam-6145	210	4	method	method	NOUN
ejpam-6145	210	5	for	for	ADP
ejpam-6145	210	6	unconstrained	unconstrained	ADJ
ejpam-6145	210	7	optimization	optimization	NOUN
ejpam-6145	210	8	and	and	CCONJ
ejpam-6145	210	9	its	its	PRON
ejpam-6145	210	10	application	application	NOUN
ejpam-6145	210	11	in	in	ADP
ejpam-6145	210	12	neural	neural	ADJ
ejpam-6145	210	13	networks	network	NOUN
ejpam-6145	210	14	.	.	PUNCT
ejpam-6145	211	1	european	european	ADJ
ejpam-6145	211	2	journal	journal	PROPN
ejpam-6145	211	3	of	of	ADP
ejpam-6145	211	4	pure	pure	ADJ
ejpam-6145	211	5	and	and	CCONJ
ejpam-6145	211	6	applied	applied	ADJ
ejpam-6145	211	7	mathematics	mathematic	NOUN
ejpam-6145	211	8	,	,	PUNCT
ejpam-6145	211	9	17(4):2692	17(4):2692	NUM
ejpam-6145	211	10	–	–	PUNCT
ejpam-6145	211	11	2705	2705	NUM
ejpam-6145	211	12	,	,	PUNCT
ejpam-6145	211	13	2024	2024	NUM
ejpam-6145	211	14	.	.	PUNCT
ejpam-6145	212	1	[	[	X
ejpam-6145	212	2	4	4	X
ejpam-6145	212	3	]	]	PUNCT
ejpam-6145	212	4	b.	b.	PROPN
ejpam-6145	212	5	a.	a.	PROPN
ejpam-6145	212	6	hassan	hassan	PROPN
ejpam-6145	212	7	and	and	CCONJ
ejpam-6145	212	8	h.	h.	PROPN
ejpam-6145	212	9	a.	a.	PROPN
ejpam-6145	212	10	alashoor	alashoor	PROPN
ejpam-6145	212	11	.	.	PUNCT
ejpam-6145	213	1	pediment	pediment	NOUN
ejpam-6145	213	2	new	new	ADJ
ejpam-6145	213	3	parameters	parameter	NOUN
ejpam-6145	213	4	for	for	ADP
ejpam-6145	213	5	a	a	DET
ejpam-6145	213	6	conjugate	conjugate	ADJ
ejpam-6145	213	7	gradient	gradient	NOUN
ejpam-6145	213	8	method	method	NOUN
ejpam-6145	213	9	and	and	CCONJ
ejpam-6145	213	10	using	use	VERB
ejpam-6145	213	11	it	it	PRON
ejpam-6145	213	12	in	in	ADP
ejpam-6145	213	13	restoring	restore	VERB
ejpam-6145	213	14	distorted	distorted	ADJ
ejpam-6145	213	15	images	image	NOUN
ejpam-6145	213	16	.	.	PUNCT
ejpam-6145	214	1	in	in	ADP
ejpam-6145	214	2	proceedings	proceeding	NOUN
ejpam-6145	214	3	of	of	ADP
ejpam-6145	214	4	the	the	DET
ejpam-6145	214	5	8th	8th	ADJ
ejpam-6145	214	6	international	international	ADJ
ejpam-6145	214	7	conference	conference	NOUN
ejpam-6145	214	8	on	on	ADP
ejpam-6145	214	9	contemporary	contemporary	ADJ
ejpam-6145	214	10	information	information	NOUN
ejpam-6145	214	11	technology	technology	NOUN
ejpam-6145	214	12	and	and	CCONJ
ejpam-6145	214	13	mathematics	mathematic	NOUN
ejpam-6145	214	14	(	(	PUNCT
ejpam-6145	214	15	iccitm	iccitm	ADJ
ejpam-6145	214	16	)	)	PUNCT
ejpam-6145	214	17	,	,	PUNCT
ejpam-6145	214	18	2022	2022	NUM
ejpam-6145	214	19	.	.	PUNCT
ejpam-6145	215	1	[	[	X
ejpam-6145	215	2	5	5	X
ejpam-6145	215	3	]	]	PUNCT
ejpam-6145	215	4	b.	b.	PROPN
ejpam-6145	215	5	a.	a.	PROPN
ejpam-6145	215	6	hassan	hassan	PROPN
ejpam-6145	215	7	and	and	CCONJ
ejpam-6145	215	8	h.	h.	PROPN
ejpam-6145	215	9	a.	a.	PROPN
ejpam-6145	215	10	alashoor	alashoor	PROPN
ejpam-6145	215	11	.	.	PUNCT
ejpam-6145	216	1	a	a	DET
ejpam-6145	216	2	new	new	ADJ
ejpam-6145	216	3	type	type	NOUN
ejpam-6145	216	4	coefficient	coefficient	NOUN
ejpam-6145	216	5	conjugate	conjugate	ADJ
ejpam-6145	216	6	on	on	ADP
ejpam-6145	216	7	the	the	DET
ejpam-6145	216	8	gradient	gradient	ADJ
ejpam-6145	216	9	methods	method	NOUN
ejpam-6145	216	10	for	for	ADP
ejpam-6145	216	11	impulse	impulse	ADJ
ejpam-6145	216	12	noise	noise	NOUN
ejpam-6145	216	13	removal	removal	NOUN
ejpam-6145	216	14	in	in	ADP
ejpam-6145	216	15	images	image	NOUN
ejpam-6145	216	16	.	.	PUNCT
ejpam-6145	217	1	european	european	ADJ
ejpam-6145	217	2	journal	journal	PROPN
ejpam-6145	217	3	of	of	ADP
ejpam-6145	217	4	pure	pure	ADJ
ejpam-6145	217	5	and	and	CCONJ
ejpam-6145	217	6	applied	applied	ADJ
ejpam-6145	217	7	mathematics	mathematic	NOUN
ejpam-6145	217	8	,	,	PUNCT
ejpam-6145	217	9	15(4):2043–2053	15(4):2043–2053	NUM
ejpam-6145	217	10	,	,	PUNCT
ejpam-6145	217	11	2022	2022	NUM
ejpam-6145	217	12	.	.	PUNCT
ejpam-6145	218	1	[	[	X
ejpam-6145	218	2	6	6	NUM
ejpam-6145	218	3	]	]	PUNCT
ejpam-6145	218	4	a.	a.	PROPN
ejpam-6145	218	5	l.	l.	PROPN
ejpam-6145	218	6	ibrahim	ibrahim	PROPN
ejpam-6145	218	7	,	,	PUNCT
ejpam-6145	218	8	b.	b.	PROPN
ejpam-6145	218	9	g.	g.	PROPN
ejpam-6145	218	10	fathi	fathi	PROPN
ejpam-6145	218	11	,	,	PUNCT
ejpam-6145	218	12	and	and	CCONJ
ejpam-6145	218	13	m.	m.	PROPN
ejpam-6145	218	14	b.	b.	PROPN
ejpam-6145	218	15	abdulrazzaq	abdulrazzaq	PROPN
ejpam-6145	218	16	.	.	PUNCT
ejpam-6145	219	1	conjugate	conjugate	ADJ
ejpam-6145	219	2	gradient	gradient	NOUN
ejpam-6145	219	3	techniques	technique	NOUN
ejpam-6145	219	4	:	:	PUNCT
ejpam-6145	219	5	enhancing	enhance	VERB
ejpam-6145	219	6	optimization	optimization	NOUN
ejpam-6145	219	7	efficiency	efficiency	NOUN
ejpam-6145	219	8	for	for	ADP
ejpam-6145	219	9	large	large	ADJ
ejpam-6145	219	10	-	-	PUNCT
ejpam-6145	219	11	scale	scale	NOUN
ejpam-6145	219	12	problems	problem	NOUN
ejpam-6145	219	13	and	and	CCONJ
ejpam-6145	219	14	image	image	NOUN
ejpam-6145	219	15	restoration	restoration	NOUN
ejpam-6145	219	16	.	.	PUNCT
ejpam-6145	220	1	numerical	numerical	PROPN
ejpam-6145	220	2	algebra	algebra	PROPN
ejpam-6145	220	3	,	,	PUNCT
ejpam-6145	220	4	control	control	NOUN
ejpam-6145	220	5	and	and	CCONJ
ejpam-6145	220	6	optimization	optimization	NOUN
ejpam-6145	220	7	,	,	PUNCT
ejpam-6145	220	8	2025	2025	NUM
ejpam-6145	220	9	.	.	PUNCT
ejpam-6145	221	1	[	[	X
ejpam-6145	221	2	7	7	NUM
ejpam-6145	221	3	]	]	PUNCT
ejpam-6145	221	4	a.	a.	NOUN
ejpam-6145	221	5	m.	m.	NOUN
ejpam-6145	221	6	awwal	awwal	PROPN
ejpam-6145	221	7	,	,	PUNCT
ejpam-6145	221	8	p.	p.	PROPN
ejpam-6145	221	9	kumam	kumam	PROPN
ejpam-6145	221	10	,	,	PUNCT
ejpam-6145	221	11	l.	l.	PROPN
ejpam-6145	221	12	wang	wang	PROPN
ejpam-6145	221	13	,	,	PUNCT
ejpam-6145	221	14	s.	s.	PROPN
ejpam-6145	221	15	huang	huang	PROPN
ejpam-6145	221	16	,	,	PUNCT
ejpam-6145	221	17	and	and	CCONJ
ejpam-6145	221	18	w.	w.	PROPN
ejpam-6145	221	19	kumam	kumam	PROPN
ejpam-6145	221	20	.	.	PUNCT
ejpam-6145	222	1	inertial	inertial	PROPN
ejpam-6145	222	2	based	base	VERB
ejpam-6145	222	3	derivative	derivative	ADJ
ejpam-6145	222	4	-	-	PUNCT
ejpam-6145	222	5	free	free	ADJ
ejpam-6145	222	6	method	method	NOUN
ejpam-6145	222	7	for	for	ADP
ejpam-6145	222	8	system	system	NOUN
ejpam-6145	222	9	of	of	ADP
ejpam-6145	222	10	monotone	monotone	ADJ
ejpam-6145	222	11	nonlinear	nonlinear	ADJ
ejpam-6145	222	12	equations	equation	NOUN
ejpam-6145	222	13	and	and	CCONJ
ejpam-6145	222	14	application	application	NOUN
ejpam-6145	222	15	.	.	PUNCT
ejpam-6145	223	1	ieee	ieee	NOUN
ejpam-6145	223	2	access	access	NOUN
ejpam-6145	223	3	,	,	PUNCT
ejpam-6145	223	4	8:226921–226930	8:226921–226930	NUM
ejpam-6145	223	5	,	,	PUNCT
ejpam-6145	223	6	2020	2020	NUM
ejpam-6145	223	7	.	.	PUNCT
ejpam-6145	224	1	[	[	X
ejpam-6145	224	2	8	8	NUM
ejpam-6145	224	3	]	]	X
ejpam-6145	224	4	i.	i.	NOUN
ejpam-6145	224	5	sulaiman	sulaiman	PROPN
ejpam-6145	224	6	and	and	CCONJ
ejpam-6145	224	7	m.	m.	PROPN
ejpam-6145	224	8	mamat	mamat	PROPN
ejpam-6145	224	9	.	.	PUNCT
ejpam-6145	225	1	a	a	DET
ejpam-6145	225	2	new	new	ADJ
ejpam-6145	225	3	conjugate	conjugate	ADJ
ejpam-6145	225	4	gradient	gradient	NOUN
ejpam-6145	225	5	method	method	NOUN
ejpam-6145	225	6	with	with	ADP
ejpam-6145	225	7	descent	descent	NOUN
ejpam-6145	225	8	properties	property	NOUN
ejpam-6145	225	9	and	and	CCONJ
ejpam-6145	225	10	its	its	PRON
ejpam-6145	225	11	application	application	NOUN
ejpam-6145	225	12	to	to	PART
ejpam-6145	225	13	regression	regression	VERB
ejpam-6145	225	14	analysis	analysis	NOUN
ejpam-6145	225	15	.	.	PUNCT
ejpam-6145	226	1	journal	journal	PROPN
ejpam-6145	226	2	of	of	ADP
ejpam-6145	226	3	numerical	numerical	ADJ
ejpam-6145	226	4	analysis	analysis	NOUN
ejpam-6145	226	5	,	,	PUNCT
ejpam-6145	226	6	industrial	industrial	ADJ
ejpam-6145	226	7	and	and	CCONJ
ejpam-6145	226	8	applied	apply	VERB
ejpam-6145	226	9	mathematics	mathematic	NOUN
ejpam-6145	226	10	,	,	PUNCT
ejpam-6145	226	11	12(1–2):25–39	12(1–2):25–39	NUM
ejpam-6145	226	12	,	,	PUNCT
ejpam-6145	226	13	2020	2020	NUM
ejpam-6145	226	14	.	.	PUNCT
ejpam-6145	227	1	[	[	X
ejpam-6145	227	2	9	9	NUM
ejpam-6145	227	3	]	]	PUNCT
ejpam-6145	227	4	z.	z.	PROPN
ejpam-6145	227	5	dai	dai	PROPN
ejpam-6145	227	6	and	and	CCONJ
ejpam-6145	227	7	j.	j.	PROPN
ejpam-6145	227	8	kang	kang	PROPN
ejpam-6145	227	9	.	.	PUNCT
ejpam-6145	228	1	some	some	DET
ejpam-6145	228	2	new	new	ADJ
ejpam-6145	228	3	efficient	efficient	ADJ
ejpam-6145	228	4	mean	mean	ADJ
ejpam-6145	228	5	-	-	PUNCT
ejpam-6145	228	6	variance	variance	NOUN
ejpam-6145	228	7	portfolio	portfolio	NOUN
ejpam-6145	228	8	selection	selection	NOUN
ejpam-6145	228	9	models	model	NOUN
ejpam-6145	228	10	.	.	PUNCT
ejpam-6145	229	1	international	international	ADJ
ejpam-6145	229	2	journal	journal	PROPN
ejpam-6145	229	3	of	of	ADP
ejpam-6145	229	4	finance	finance	NOUN
ejpam-6145	229	5	and	and	CCONJ
ejpam-6145	229	6	economics	economic	NOUN
ejpam-6145	229	7	,	,	PUNCT
ejpam-6145	229	8	pages	page	NOUN
ejpam-6145	229	9	1–13	1–13	NOUN
ejpam-6145	229	10	,	,	PUNCT
ejpam-6145	229	11	2021	2021	NUM
ejpam-6145	229	12	.	.	PUNCT
ejpam-6145	230	1	k.	k.	PROPN
ejpam-6145	230	2	j.	j.	PROPN
ejpam-6145	230	3	murad	murad	PROPN
ejpam-6145	230	4	,	,	PUNCT
ejpam-6145	230	5	s.	s.	PROPN
ejpam-6145	230	6	g.	g.	PROPN
ejpam-6145	230	7	shareef	shareef	PROPN
ejpam-6145	230	8	/	/	PUNCT
ejpam-6145	230	9	eur	eur	PROPN
ejpam-6145	230	10	.	.	PUNCT
ejpam-6145	231	1	j.	j.	PROPN
ejpam-6145	231	2	pure	pure	PROPN
ejpam-6145	231	3	appl	appl	PROPN
ejpam-6145	231	4	.	.	PROPN
ejpam-6145	231	5	math	math	PROPN
ejpam-6145	231	6	,	,	PUNCT
ejpam-6145	231	7	18	18	NUM
ejpam-6145	231	8	(	(	PUNCT
ejpam-6145	231	9	3	3	NUM
ejpam-6145	231	10	)	)	PUNCT
ejpam-6145	231	11	(	(	PUNCT
ejpam-6145	231	12	2025	2025	NUM
ejpam-6145	231	13	)	)	PUNCT
ejpam-6145	231	14	,	,	PUNCT
ejpam-6145	231	15	6145	6145	NUM
ejpam-6145	231	16	15	15	NUM
ejpam-6145	231	17	of	of	ADP
ejpam-6145	231	18	17	17	NUM
ejpam-6145	231	19	[	[	SYM
ejpam-6145	231	20	10	10	NUM
ejpam-6145	231	21	]	]	PUNCT
ejpam-6145	231	22	b.	b.	PROPN
ejpam-6145	231	23	a.	a.	PROPN
ejpam-6145	231	24	hassan	hassan	PROPN
ejpam-6145	231	25	and	and	CCONJ
ejpam-6145	231	26	a.	a.	NOUN
ejpam-6145	231	27	a.	a.	PROPN
ejpam-6145	231	28	saad	saad	PROPN
ejpam-6145	231	29	.	.	PUNCT
ejpam-6145	232	1	explaining	explain	VERB
ejpam-6145	232	2	new	new	ADJ
ejpam-6145	232	3	parameters	parameter	NOUN
ejpam-6145	232	4	conjugate	conjugate	VERB
ejpam-6145	232	5	analysis	analysis	NOUN
ejpam-6145	232	6	based	base	VERB
ejpam-6145	232	7	on	on	ADP
ejpam-6145	232	8	the	the	DET
ejpam-6145	232	9	quadratic	quadratic	ADJ
ejpam-6145	232	10	model	model	NOUN
ejpam-6145	232	11	.	.	PUNCT
ejpam-6145	233	1	journal	journal	PROPN
ejpam-6145	233	2	of	of	ADP
ejpam-6145	233	3	interdisciplinary	interdisciplinary	ADJ
ejpam-6145	233	4	mathematics	mathematic	NOUN
ejpam-6145	233	5	,	,	PUNCT
ejpam-6145	233	6	26(6):1219–1229	26(6):1219–1229	NUM
ejpam-6145	233	7	,	,	PUNCT
ejpam-6145	233	8	2023	2023	NUM
ejpam-6145	233	9	.	.	PUNCT
ejpam-6145	234	1	[	[	X
ejpam-6145	234	2	11	11	NUM
ejpam-6145	234	3	]	]	PUNCT
ejpam-6145	234	4	b.	b.	PROPN
ejpam-6145	234	5	a.	a.	PROPN
ejpam-6145	234	6	hassan	hassan	PROPN
ejpam-6145	234	7	,	,	PUNCT
ejpam-6145	234	8	h.	h.	PROPN
ejpam-6145	234	9	n.	n.	PROPN
ejpam-6145	234	10	jabbar	jabbar	PROPN
ejpam-6145	234	11	,	,	PUNCT
ejpam-6145	234	12	and	and	CCONJ
ejpam-6145	234	13	y.	y.	NOUN
ejpam-6145	234	14	a.	a.	NOUN
ejpam-6145	234	15	laylani	laylani	PROPN
ejpam-6145	234	16	.	.	PUNCT
ejpam-6145	235	1	upscaling	upscale	VERB
ejpam-6145	235	2	parameters	parameter	NOUN
ejpam-6145	235	3	for	for	ADP
ejpam-6145	235	4	conjugate	conjugate	ADJ
ejpam-6145	235	5	gradient	gradient	NOUN
ejpam-6145	235	6	method	method	NOUN
ejpam-6145	235	7	in	in	ADP
ejpam-6145	235	8	unconstrained	unconstrained	ADJ
ejpam-6145	235	9	optimization	optimization	NOUN
ejpam-6145	235	10	.	.	PUNCT
ejpam-6145	236	1	journal	journal	PROPN
ejpam-6145	236	2	of	of	ADP
ejpam-6145	236	3	interdisciplinary	interdisciplinary	ADJ
ejpam-6145	236	4	mathematics	mathematic	NOUN
ejpam-6145	236	5	,	,	PUNCT
ejpam-6145	236	6	26(6):1171–1180	26(6):1171–1180	NUM
ejpam-6145	236	7	,	,	PUNCT
ejpam-6145	236	8	2023	2023	NUM
ejpam-6145	236	9	.	.	PUNCT
ejpam-6145	237	1	[	[	X
ejpam-6145	237	2	12	12	NUM
ejpam-6145	237	3	]	]	X
ejpam-6145	237	4	b.	b.	PROPN
ejpam-6145	237	5	hassan	hassan	PROPN
ejpam-6145	237	6	and	and	CCONJ
ejpam-6145	237	7	a.	a.	PROPN
ejpam-6145	237	8	saad	saad	PROPN
ejpam-6145	237	9	.	.	PUNCT
ejpam-6145	238	1	elastic	elastic	ADJ
ejpam-6145	238	2	conjugate	conjugate	ADJ
ejpam-6145	238	3	gradient	gradient	ADJ
ejpam-6145	238	4	methods	method	NOUN
ejpam-6145	238	5	to	to	PART
ejpam-6145	238	6	solve	solve	VERB
ejpam-6145	238	7	iteration	iteration	NOUN
ejpam-6145	238	8	problems	problem	NOUN
ejpam-6145	238	9	.	.	PUNCT
ejpam-6145	239	1	journal	journal	NOUN
ejpam-6145	239	2	of	of	ADP
ejpam-6145	239	3	interdisciplinary	interdisciplinary	ADJ
ejpam-6145	239	4	mathematics	mathematic	NOUN
ejpam-6145	239	5	,	,	PUNCT
ejpam-6145	239	6	2024	2024	NUM
ejpam-6145	239	7	.	.	PUNCT
ejpam-6145	240	1	[	[	X
ejpam-6145	240	2	13	13	NUM
ejpam-6145	240	3	]	]	X
ejpam-6145	240	4	g.	g.	PROPN
ejpam-6145	240	5	yuan	yuan	PROPN
ejpam-6145	240	6	,	,	PUNCT
ejpam-6145	240	7	z.	z.	PROPN
ejpam-6145	240	8	wei	wei	PROPN
ejpam-6145	240	9	,	,	PUNCT
ejpam-6145	240	10	and	and	CCONJ
ejpam-6145	240	11	z.	z.	PROPN
ejpam-6145	240	12	wang	wang	PROPN
ejpam-6145	240	13	.	.	PUNCT
ejpam-6145	241	1	gradient	gradient	PROPN
ejpam-6145	241	2	trust	trust	NOUN
ejpam-6145	241	3	region	region	NOUN
ejpam-6145	241	4	algorithm	algorithm	NOUN
ejpam-6145	241	5	with	with	ADP
ejpam-6145	241	6	limited	limited	ADJ
ejpam-6145	241	7	memory	memory	NOUN
ejpam-6145	241	8	bfgs	bfgs	ADJ
ejpam-6145	241	9	update	update	NOUN
ejpam-6145	241	10	for	for	ADP
ejpam-6145	241	11	nonsmooth	nonsmooth	ADJ
ejpam-6145	241	12	convex	convex	NOUN
ejpam-6145	241	13	minimization	minimization	NOUN
ejpam-6145	241	14	.	.	PUNCT
ejpam-6145	242	1	computational	computational	ADJ
ejpam-6145	242	2	optimization	optimization	NOUN
ejpam-6145	242	3	and	and	CCONJ
ejpam-6145	242	4	applications	application	NOUN
ejpam-6145	242	5	,	,	PUNCT
ejpam-6145	242	6	54:45–64	54:45–64	PROPN
ejpam-6145	242	7	,	,	PUNCT
ejpam-6145	242	8	2013	2013	NUM
ejpam-6145	242	9	.	.	PUNCT
ejpam-6145	243	1	[	[	X
ejpam-6145	243	2	14	14	NUM
ejpam-6145	243	3	]	]	X
ejpam-6145	243	4	b.	b.	PROPN
ejpam-6145	243	5	g.	g.	PROPN
ejpam-6145	243	6	fathi	fathi	PROPN
ejpam-6145	243	7	and	and	CCONJ
ejpam-6145	243	8	a.	a.	PROPN
ejpam-6145	243	9	l.	l.	PROPN
ejpam-6145	243	10	ibrahim	ibrahim	PROPN
ejpam-6145	243	11	.	.	PUNCT
ejpam-6145	244	1	a	a	DET
ejpam-6145	244	2	new	new	ADJ
ejpam-6145	244	3	quasi	quasi	NOUN
ejpam-6145	244	4	-	-	NOUN
ejpam-6145	244	5	newton	newton	PROPN
ejpam-6145	244	6	method	method	NOUN
ejpam-6145	244	7	with	with	ADP
ejpam-6145	244	8	pcg	pcg	PROPN
ejpam-6145	244	9	method	method	NOUN
ejpam-6145	244	10	for	for	ADP
ejpam-6145	244	11	nonlinear	nonlinear	ADJ
ejpam-6145	244	12	optimization	optimization	NOUN
ejpam-6145	244	13	problems	problem	NOUN
ejpam-6145	244	14	.	.	PUNCT
ejpam-6145	245	1	mathematics	mathematic	NOUN
ejpam-6145	245	2	and	and	CCONJ
ejpam-6145	245	3	statistics	statistic	NOUN
ejpam-6145	245	4	,	,	PUNCT
ejpam-6145	245	5	11(1):191–198	11(1):191–198	PROPN
ejpam-6145	245	6	,	,	PUNCT
ejpam-6145	245	7	2023	2023	NUM
ejpam-6145	245	8	.	.	PUNCT
ejpam-6145	246	1	[	[	X
ejpam-6145	246	2	15	15	NUM
ejpam-6145	246	3	]	]	X
ejpam-6145	246	4	y.	y.	PROPN
ejpam-6145	246	5	xiang	xiang	PROPN
ejpam-6145	246	6	and	and	CCONJ
ejpam-6145	246	7	x.	x.	PROPN
ejpam-6145	246	8	g.	g.	PROPN
ejpam-6145	246	9	gong	gong	PROPN
ejpam-6145	246	10	.	.	PUNCT
ejpam-6145	247	1	efficiency	efficiency	NOUN
ejpam-6145	247	2	of	of	ADP
ejpam-6145	247	3	generalized	generalized	ADJ
ejpam-6145	247	4	simulated	simulated	ADJ
ejpam-6145	247	5	annealing	annealing	NOUN
ejpam-6145	247	6	.	.	PUNCT
ejpam-6145	248	1	physical	physical	ADJ
ejpam-6145	248	2	review	review	PROPN
ejpam-6145	248	3	e	e	PROPN
ejpam-6145	248	4	,	,	PUNCT
ejpam-6145	248	5	62:4473–4476	62:4473–4476	PROPN
ejpam-6145	248	6	,	,	PUNCT
ejpam-6145	248	7	2000	2000	NUM
ejpam-6145	248	8	.	.	PUNCT
ejpam-6145	249	1	[	[	X
ejpam-6145	249	2	16	16	NUM
ejpam-6145	249	3	]	]	X
ejpam-6145	249	4	q.	q.	PROPN
ejpam-6145	249	5	yuan	yuan	PROPN
ejpam-6145	249	6	and	and	CCONJ
ejpam-6145	249	7	f.	f.	PROPN
ejpam-6145	249	8	qian	qian	PROPN
ejpam-6145	249	9	.	.	PUNCT
ejpam-6145	250	1	a	a	DET
ejpam-6145	250	2	hybrid	hybrid	ADJ
ejpam-6145	250	3	genetic	genetic	ADJ
ejpam-6145	250	4	algorithm	algorithm	NOUN
ejpam-6145	250	5	for	for	ADP
ejpam-6145	250	6	twice	twice	ADV
ejpam-6145	250	7	continuously	continuously	ADV
ejpam-6145	250	8	differentiable	differentiable	ADJ
ejpam-6145	250	9	nlp	nlp	NOUN
ejpam-6145	250	10	problems	problem	NOUN
ejpam-6145	250	11	.	.	PUNCT
ejpam-6145	251	1	computers	computer	NOUN
ejpam-6145	251	2	chemical	chemical	PROPN
ejpam-6145	251	3	engineering	engineering	NOUN
ejpam-6145	251	4	,	,	PUNCT
ejpam-6145	251	5	34:36–41	34:36–41	PROPN
ejpam-6145	251	6	,	,	PUNCT
ejpam-6145	251	7	2010	2010	NUM
ejpam-6145	251	8	.	.	PUNCT
ejpam-6145	252	1	[	[	X
ejpam-6145	252	2	17	17	NUM
ejpam-6145	252	3	]	]	X
ejpam-6145	252	4	f.	f.	PROPN
ejpam-6145	252	5	c.	c.	PROPN
ejpam-6145	252	6	gao	gao	PROPN
ejpam-6145	252	7	and	and	CCONJ
ejpam-6145	252	8	l.	l.	PROPN
ejpam-6145	252	9	x.	x.	PROPN
ejpam-6145	252	10	han	han	PROPN
ejpam-6145	252	11	.	.	PUNCT
ejpam-6145	253	1	implementing	implement	VERB
ejpam-6145	253	2	the	the	DET
ejpam-6145	253	3	nelder	nelder	ADJ
ejpam-6145	253	4	-	-	PUNCT
ejpam-6145	253	5	mead	mead	NOUN
ejpam-6145	253	6	simplex	simplex	NOUN
ejpam-6145	253	7	algorithm	algorithm	NOUN
ejpam-6145	253	8	with	with	ADP
ejpam-6145	253	9	adaptive	adaptive	ADJ
ejpam-6145	253	10	parameters	parameter	NOUN
ejpam-6145	253	11	.	.	PUNCT
ejpam-6145	254	1	computational	computational	ADJ
ejpam-6145	254	2	optimization	optimization	NOUN
ejpam-6145	254	3	and	and	CCONJ
ejpam-6145	254	4	applications	application	NOUN
ejpam-6145	254	5	,	,	PUNCT
ejpam-6145	254	6	51:259–277	51:259–277	PROPN
ejpam-6145	254	7	,	,	PUNCT
ejpam-6145	254	8	2012	2012	NUM
ejpam-6145	254	9	.	.	PUNCT
ejpam-6145	255	1	[	[	X
ejpam-6145	255	2	18	18	NUM
ejpam-6145	255	3	]	]	PUNCT
ejpam-6145	255	4	m.	m.	PROPN
ejpam-6145	255	5	s.	s.	PROPN
ejpam-6145	255	6	arif	arif	PROPN
ejpam-6145	255	7	,	,	PUNCT
ejpam-6145	255	8	m.	m.	NOUN
ejpam-6145	255	9	bibi	bibi	NOUN
ejpam-6145	255	10	,	,	PUNCT
ejpam-6145	255	11	and	and	CCONJ
ejpam-6145	255	12	a.	a.	PROPN
ejpam-6145	255	13	jhangir	jhangir	PROPN
ejpam-6145	255	14	.	.	PUNCT
ejpam-6145	256	1	solution	solution	NOUN
ejpam-6145	256	2	of	of	ADP
ejpam-6145	256	3	algebraic	algebraic	ADJ
ejpam-6145	256	4	lyapunov	lyapunov	ADJ
ejpam-6145	256	5	equation	equation	NOUN
ejpam-6145	256	6	on	on	ADP
ejpam-6145	256	7	positive	positive	ADJ
ejpam-6145	256	8	-	-	PUNCT
ejpam-6145	256	9	definite	definite	ADJ
ejpam-6145	256	10	hermitian	hermitian	ADJ
ejpam-6145	256	11	matrices	matrix	NOUN
ejpam-6145	256	12	by	by	ADP
ejpam-6145	256	13	using	use	VERB
ejpam-6145	256	14	extended	extended	ADJ
ejpam-6145	256	15	hamiltonian	hamiltonian	ADJ
ejpam-6145	256	16	algorithm	algorithm	NOUN
ejpam-6145	256	17	.	.	PUNCT
ejpam-6145	257	1	computers	computer	NOUN
ejpam-6145	257	2	,	,	PUNCT
ejpam-6145	257	3	materials	material	NOUN
ejpam-6145	257	4	continua	continuum	NOUN
ejpam-6145	257	5	,	,	PUNCT
ejpam-6145	257	6	54(2):181–195	54(2):181–195	NOUN
ejpam-6145	257	7	,	,	PUNCT
ejpam-6145	257	8	2018	2018	NUM
ejpam-6145	257	9	.	.	PUNCT
ejpam-6145	258	1	[	[	X
ejpam-6145	258	2	19	19	NUM
ejpam-6145	258	3	]	]	PUNCT
ejpam-6145	258	4	m.	m.	PROPN
ejpam-6145	258	5	s.	s.	PROPN
ejpam-6145	258	6	arif	arif	PROPN
ejpam-6145	258	7	,	,	PUNCT
ejpam-6145	258	8	e.	e.	PROPN
ejpam-6145	258	9	c.	c.	PROPN
ejpam-6145	258	10	zhang	zhang	PROPN
ejpam-6145	258	11	,	,	PUNCT
ejpam-6145	258	12	and	and	CCONJ
ejpam-6145	258	13	h.	h.	PROPN
ejpam-6145	258	14	f.	f.	PROPN
ejpam-6145	258	15	sun	sun	PROPN
ejpam-6145	258	16	.	.	PUNCT
ejpam-6145	259	1	jacobi	jacobi	PROPN
ejpam-6145	259	2	fields	field	VERB
ejpam-6145	259	3	on	on	ADP
ejpam-6145	259	4	the	the	DET
ejpam-6145	259	5	manifold	manifold	NOUN
ejpam-6145	259	6	of	of	ADP
ejpam-6145	259	7	freund	freund	PROPN
ejpam-6145	259	8	.	.	PUNCT
ejpam-6145	260	1	journal	journal	PROPN
ejpam-6145	260	2	of	of	ADP
ejpam-6145	260	3	interdisciplinary	interdisciplinary	ADJ
ejpam-6145	260	4	mathematics	mathematic	NOUN
ejpam-6145	260	5	,	,	PUNCT
ejpam-6145	260	6	22(5):181–188	22(5):181–188	NOUN
ejpam-6145	260	7	,	,	PUNCT
ejpam-6145	260	8	2015	2015	NUM
ejpam-6145	260	9	.	.	PUNCT
ejpam-6145	261	1	[	[	X
ejpam-6145	261	2	20	20	NUM
ejpam-6145	261	3	]	]	PUNCT
ejpam-6145	261	4	m.	m.	PROPN
ejpam-6145	261	5	s.	s.	PROPN
ejpam-6145	261	6	arif	arif	PROPN
ejpam-6145	261	7	,	,	PUNCT
ejpam-6145	261	8	e.	e.	PROPN
ejpam-6145	261	9	c.	c.	PROPN
ejpam-6145	261	10	zhang	zhang	PROPN
ejpam-6145	261	11	,	,	PUNCT
ejpam-6145	261	12	and	and	CCONJ
ejpam-6145	261	13	h.	h.	PROPN
ejpam-6145	261	14	f.	f.	PROPN
ejpam-6145	261	15	sun	sun	PROPN
ejpam-6145	261	16	.	.	PUNCT
ejpam-6145	262	1	jacobi	jacobi	PROPN
ejpam-6145	262	2	fields	field	VERB
ejpam-6145	262	3	on	on	ADP
ejpam-6145	262	4	the	the	DET
ejpam-6145	262	5	manifold	manifold	NOUN
ejpam-6145	262	6	of	of	ADP
ejpam-6145	262	7	gamma	gamma	NOUN
ejpam-6145	262	8	exponential	exponential	NOUN
ejpam-6145	262	9	.	.	PUNCT
ejpam-6145	263	1	journal	journal	PROPN
ejpam-6145	263	2	of	of	ADP
ejpam-6145	263	3	interdisciplinary	interdisciplinary	ADJ
ejpam-6145	263	4	mathematics	mathematic	NOUN
ejpam-6145	263	5	,	,	PUNCT
ejpam-6145	263	6	22(5):609–619	22(5):609–619	NUM
ejpam-6145	263	7	,	,	PUNCT
ejpam-6145	263	8	2019	2019	NUM
ejpam-6145	263	9	.	.	PUNCT
ejpam-6145	264	1	[	[	X
ejpam-6145	264	2	21	21	NUM
ejpam-6145	264	3	]	]	PUNCT
ejpam-6145	264	4	m.	m.	PROPN
ejpam-6145	264	5	r.	r.	PROPN
ejpam-6145	264	6	hestenes	hestenes	PROPN
ejpam-6145	264	7	and	and	CCONJ
ejpam-6145	264	8	e.	e.	PROPN
ejpam-6145	264	9	stiefel	stiefel	PROPN
ejpam-6145	264	10	.	.	PUNCT
ejpam-6145	265	1	methods	method	NOUN
ejpam-6145	265	2	of	of	ADP
ejpam-6145	265	3	conjugate	conjugate	ADJ
ejpam-6145	265	4	gradients	gradient	NOUN
ejpam-6145	265	5	for	for	ADP
ejpam-6145	265	6	solving	solve	VERB
ejpam-6145	265	7	.	.	PUNCT
ejpam-6145	266	1	journal	journal	PROPN
ejpam-6145	266	2	of	of	ADP
ejpam-6145	266	3	research	research	NOUN
ejpam-6145	266	4	of	of	ADP
ejpam-6145	266	5	the	the	DET
ejpam-6145	266	6	national	national	PROPN
ejpam-6145	266	7	bureau	bureau	PROPN
ejpam-6145	266	8	of	of	ADP
ejpam-6145	266	9	standards	standard	NOUN
ejpam-6145	266	10	,	,	PUNCT
ejpam-6145	266	11	49(1):409–436	49(1):409–436	NOUN
ejpam-6145	266	12	,	,	PUNCT
ejpam-6145	266	13	1952	1952	NUM
ejpam-6145	266	14	.	.	PUNCT
ejpam-6145	267	1	[	[	X
ejpam-6145	267	2	22	22	NUM
ejpam-6145	267	3	]	]	PUNCT
ejpam-6145	267	4	r.	r.	PROPN
ejpam-6145	267	5	fletcher	fletcher	PROPN
ejpam-6145	267	6	and	and	CCONJ
ejpam-6145	267	7	c.	c.	PROPN
ejpam-6145	267	8	m.	m.	PROPN
ejpam-6145	267	9	reeves	reeves	PROPN
ejpam-6145	267	10	.	.	PUNCT
ejpam-6145	268	1	function	function	NOUN
ejpam-6145	268	2	minimization	minimization	NOUN
ejpam-6145	268	3	by	by	ADP
ejpam-6145	268	4	conjugate	conjugate	ADJ
ejpam-6145	268	5	gradients	gradient	NOUN
ejpam-6145	268	6	.	.	PUNCT
ejpam-6145	269	1	the	the	DET
ejpam-6145	269	2	computer	computer	NOUN
ejpam-6145	269	3	journal	journal	NOUN
ejpam-6145	269	4	,	,	PUNCT
ejpam-6145	269	5	7(2):149–154	7(2):149–154	NUM
ejpam-6145	269	6	,	,	PUNCT
ejpam-6145	269	7	1964	1964	NUM
ejpam-6145	269	8	.	.	PUNCT
ejpam-6145	270	1	[	[	X
ejpam-6145	270	2	23	23	NUM
ejpam-6145	270	3	]	]	X
ejpam-6145	270	4	b.	b.	PROPN
ejpam-6145	270	5	t.	t.	PROPN
ejpam-6145	270	6	polyak	polyak	PROPN
ejpam-6145	270	7	.	.	PUNCT
ejpam-6145	271	1	the	the	DET
ejpam-6145	271	2	conjugate	conjugate	ADJ
ejpam-6145	271	3	gradient	gradient	NOUN
ejpam-6145	271	4	method	method	NOUN
ejpam-6145	271	5	in	in	ADP
ejpam-6145	271	6	extremal	extremal	ADJ
ejpam-6145	271	7	problems	problem	NOUN
ejpam-6145	271	8	.	.	PUNCT
ejpam-6145	272	1	zhurnal	zhurnal	ADJ
ejpam-6145	273	1	vychislitel’noi	vychislitel’noi	INTJ
ejpam-6145	273	2	matematiki	matematiki	PRON
ejpam-6145	274	1	i	i	PRON
ejpam-6145	274	2	matematicheskoi	matematicheskoi	VERB
ejpam-6145	274	3	fiziki	fiziki	ADJ
ejpam-6145	274	4	,	,	PUNCT
ejpam-6145	274	5	9(4):807–821	9(4):807–821	NUM
ejpam-6145	274	6	,	,	PUNCT
ejpam-6145	274	7	1969	1969	NUM
ejpam-6145	274	8	.	.	PUNCT
ejpam-6145	275	1	[	[	X
ejpam-6145	275	2	24	24	NUM
ejpam-6145	275	3	]	]	X
ejpam-6145	275	4	e.	e.	PROPN
ejpam-6145	275	5	polak	polak	PROPN
ejpam-6145	275	6	and	and	CCONJ
ejpam-6145	275	7	g.	g.	PROPN
ejpam-6145	275	8	ribière	ribière	PROPN
ejpam-6145	275	9	.	.	PUNCT
ejpam-6145	276	1	note	note	VERB
ejpam-6145	276	2	sur	sur	PROPN
ejpam-6145	276	3	la	la	X
ejpam-6145	276	4	convergence	convergence	NOUN
ejpam-6145	276	5	de	de	X
ejpam-6145	276	6	méthodes	méthodes	X
ejpam-6145	276	7	de	de	PROPN
ejpam-6145	276	8	directions	direction	NOUN
ejpam-6145	276	9	conjuguées	conjuguées	PROPN
ejpam-6145	276	10	.	.	PUNCT
ejpam-6145	277	1	revue	revue	PROPN
ejpam-6145	277	2	française	française	PROPN
ejpam-6145	277	3	d’informatique	d’informatique	NOUN
ejpam-6145	277	4	et	et	X
ejpam-6145	277	5	de	de	X
ejpam-6145	277	6	recherche	recherche	X
ejpam-6145	277	7	opérationnelle	opérationnelle	PROPN
ejpam-6145	277	8	,	,	PUNCT
ejpam-6145	277	9	16:35–43	16:35–43	NUM
ejpam-6145	277	10	,	,	PUNCT
ejpam-6145	277	11	1969	1969	NUM
ejpam-6145	277	12	.	.	PUNCT
ejpam-6145	278	1	[	[	X
ejpam-6145	278	2	25	25	NUM
ejpam-6145	278	3	]	]	X
ejpam-6145	278	4	y.	y.	PROPN
ejpam-6145	278	5	liu	liu	PROPN
ejpam-6145	278	6	and	and	CCONJ
ejpam-6145	278	7	c.	c.	PROPN
ejpam-6145	278	8	storey	storey	PROPN
ejpam-6145	278	9	.	.	PUNCT
ejpam-6145	279	1	efficient	efficient	ADJ
ejpam-6145	279	2	generalized	generalize	VERB
ejpam-6145	279	3	conjugate	conjugate	ADJ
ejpam-6145	279	4	gradient	gradient	ADJ
ejpam-6145	279	5	algorithms	algorithm	NOUN
ejpam-6145	279	6	,	,	PUNCT
ejpam-6145	279	7	part	part	NOUN
ejpam-6145	279	8	1	1	NUM
ejpam-6145	279	9	:	:	PUNCT
ejpam-6145	279	10	theory	theory	NOUN
ejpam-6145	279	11	.	.	PUNCT
ejpam-6145	280	1	journal	journal	NOUN
ejpam-6145	280	2	of	of	ADP
ejpam-6145	280	3	optimization	optimization	NOUN
ejpam-6145	280	4	theory	theory	NOUN
ejpam-6145	280	5	and	and	CCONJ
ejpam-6145	280	6	applications	application	NOUN
ejpam-6145	280	7	,	,	PUNCT
ejpam-6145	280	8	69:129–137	69:129–137	NUM
ejpam-6145	280	9	,	,	PUNCT
ejpam-6145	280	10	1991	1991	NUM
ejpam-6145	280	11	.	.	PUNCT
ejpam-6145	281	1	[	[	X
ejpam-6145	281	2	26	26	NUM
ejpam-6145	281	3	]	]	X
ejpam-6145	281	4	y.	y.	PROPN
ejpam-6145	281	5	h.	h.	PROPN
ejpam-6145	281	6	dai	dai	PROPN
ejpam-6145	281	7	and	and	CCONJ
ejpam-6145	281	8	y.	y.	PROPN
ejpam-6145	281	9	yuan	yuan	PROPN
ejpam-6145	281	10	.	.	PUNCT
ejpam-6145	282	1	a	a	DET
ejpam-6145	282	2	nonlinear	nonlinear	ADJ
ejpam-6145	282	3	conjugate	conjugate	ADJ
ejpam-6145	282	4	gradient	gradient	NOUN
ejpam-6145	282	5	method	method	NOUN
ejpam-6145	282	6	with	with	ADP
ejpam-6145	282	7	a	a	DET
ejpam-6145	282	8	strong	strong	ADJ
ejpam-6145	282	9	global	global	ADJ
ejpam-6145	282	10	convergence	convergence	NOUN
ejpam-6145	282	11	property	property	NOUN
ejpam-6145	282	12	.	.	PUNCT
ejpam-6145	283	1	siam	siam	PROPN
ejpam-6145	283	2	journal	journal	PROPN
ejpam-6145	283	3	on	on	ADP
ejpam-6145	283	4	optimization	optimization	NOUN
ejpam-6145	283	5	,	,	PUNCT
ejpam-6145	283	6	10(1):177–182	10(1):177–182	NUM
ejpam-6145	283	7	,	,	PUNCT
ejpam-6145	283	8	1999	1999	NUM
ejpam-6145	283	9	.	.	PUNCT
ejpam-6145	284	1	[	[	X
ejpam-6145	284	2	27	27	NUM
ejpam-6145	284	3	]	]	PUNCT
ejpam-6145	284	4	r.	r.	PROPN
ejpam-6145	284	5	fletcher	fletcher	PROPN
ejpam-6145	284	6	.	.	PUNCT
ejpam-6145	285	1	practical	practical	ADJ
ejpam-6145	285	2	methods	method	NOUN
ejpam-6145	285	3	of	of	ADP
ejpam-6145	285	4	optimization	optimization	NOUN
ejpam-6145	285	5	,	,	PUNCT
ejpam-6145	285	6	volume	volume	NOUN
ejpam-6145	285	7	1	1	NUM
ejpam-6145	285	8	:	:	PUNCT
ejpam-6145	285	9	unconstrained	unconstrained	ADJ
ejpam-6145	285	10	optimization	optimization	NOUN
ejpam-6145	285	11	.	.	PUNCT
ejpam-6145	286	1	john	john	PROPN
ejpam-6145	286	2	wiley	wiley	PROPN
ejpam-6145	286	3	sons	son	NOUN
ejpam-6145	286	4	,	,	PUNCT
ejpam-6145	286	5	1987	1987	NUM
ejpam-6145	286	6	.	.	PUNCT
ejpam-6145	287	1	[	[	X
ejpam-6145	287	2	28	28	NUM
ejpam-6145	287	3	]	]	X
ejpam-6145	287	4	w.	w.	PROPN
ejpam-6145	287	5	w.	w.	PROPN
ejpam-6145	287	6	hager	hager	PROPN
ejpam-6145	287	7	and	and	CCONJ
ejpam-6145	287	8	h.	h.	PROPN
ejpam-6145	287	9	zhang	zhang	PROPN
ejpam-6145	287	10	.	.	PUNCT
ejpam-6145	288	1	a	a	DET
ejpam-6145	288	2	survey	survey	NOUN
ejpam-6145	288	3	of	of	ADP
ejpam-6145	288	4	nonlinear	nonlinear	ADJ
ejpam-6145	288	5	conjugate	conjugate	ADJ
ejpam-6145	288	6	gradient	gradient	ADJ
ejpam-6145	288	7	methods	method	NOUN
ejpam-6145	288	8	.	.	PUNCT
ejpam-6145	289	1	pacific	pacific	PROPN
ejpam-6145	289	2	journal	journal	PROPN
ejpam-6145	289	3	of	of	ADP
ejpam-6145	289	4	optimization	optimization	NOUN
ejpam-6145	289	5	,	,	PUNCT
ejpam-6145	289	6	2(1):35–58	2(1):35–58	NUM
ejpam-6145	289	7	,	,	PUNCT
ejpam-6145	289	8	2006	2006	NUM
ejpam-6145	289	9	.	.	PUNCT
ejpam-6145	290	1	k.	k.	PROPN
ejpam-6145	290	2	j.	j.	PROPN
ejpam-6145	290	3	murad	murad	PROPN
ejpam-6145	290	4	,	,	PUNCT
ejpam-6145	290	5	s.	s.	PROPN
ejpam-6145	290	6	g.	g.	PROPN
ejpam-6145	290	7	shareef	shareef	PROPN
ejpam-6145	290	8	/	/	PUNCT
ejpam-6145	290	9	eur	eur	PROPN
ejpam-6145	290	10	.	.	PUNCT
ejpam-6145	291	1	j.	j.	PROPN
ejpam-6145	291	2	pure	pure	PROPN
ejpam-6145	291	3	appl	appl	PROPN
ejpam-6145	291	4	.	.	PROPN
ejpam-6145	291	5	math	math	PROPN
ejpam-6145	291	6	,	,	PUNCT
ejpam-6145	291	7	18	18	NUM
ejpam-6145	291	8	(	(	PUNCT
ejpam-6145	291	9	3	3	NUM
ejpam-6145	291	10	)	)	PUNCT
ejpam-6145	291	11	(	(	PUNCT
ejpam-6145	291	12	2025	2025	NUM
ejpam-6145	291	13	)	)	PUNCT
ejpam-6145	291	14	,	,	PUNCT
ejpam-6145	291	15	6145	6145	NUM
ejpam-6145	291	16	16	16	NUM
ejpam-6145	291	17	of	of	ADP
ejpam-6145	291	18	17	17	NUM
ejpam-6145	291	19	[	[	SYM
ejpam-6145	291	20	29	29	NUM
ejpam-6145	291	21	]	]	X
ejpam-6145	291	22	b.	b.	PROPN
ejpam-6145	291	23	h.	h.	PROPN
ejpam-6145	291	24	jahwar	jahwar	PROPN
ejpam-6145	291	25	,	,	PUNCT
ejpam-6145	291	26	a.	a.	PROPN
ejpam-6145	291	27	l.	l.	PROPN
ejpam-6145	291	28	ibrahim	ibrahim	PROPN
ejpam-6145	291	29	,	,	PUNCT
ejpam-6145	291	30	s.	s.	PROPN
ejpam-6145	291	31	m.	m.	PROPN
ejpam-6145	291	32	ajeel	ajeel	PROPN
ejpam-6145	291	33	,	,	PUNCT
ejpam-6145	291	34	and	and	CCONJ
ejpam-6145	291	35	s.	s.	PROPN
ejpam-6145	291	36	g.	g.	PROPN
ejpam-6145	291	37	shareef	shareef	PROPN
ejpam-6145	291	38	.	.	PROPN
ejpam-6145	292	1	two	two	NUM
ejpam-6145	292	2	new	new	ADJ
ejpam-6145	292	3	classes	class	NOUN
ejpam-6145	292	4	of	of	ADP
ejpam-6145	292	5	conjugate	conjugate	ADJ
ejpam-6145	292	6	gradient	gradient	NOUN
ejpam-6145	292	7	method	method	NOUN
ejpam-6145	292	8	based	base	VERB
ejpam-6145	292	9	on	on	ADP
ejpam-6145	292	10	logistic	logistic	ADJ
ejpam-6145	292	11	mapping	mapping	NOUN
ejpam-6145	292	12	.	.	PUNCT
ejpam-6145	293	1	telkomnika	telkomnika	PROPN
ejpam-6145	293	2	,	,	PUNCT
ejpam-6145	293	3	22(1):86–94	22(1):86–94	NUM
ejpam-6145	293	4	,	,	PUNCT
ejpam-6145	293	5	2024	2024	NUM
ejpam-6145	293	6	.	.	PUNCT
ejpam-6145	294	1	[	[	X
ejpam-6145	294	2	30	30	NUM
ejpam-6145	294	3	]	]	X
ejpam-6145	294	4	b.	b.	PROPN
ejpam-6145	294	5	a.	a.	PROPN
ejpam-6145	294	6	hassan	hassan	PROPN
ejpam-6145	294	7	,	,	PUNCT
ejpam-6145	294	8	h.	h.	PROPN
ejpam-6145	294	9	jabbar	jabbar	PROPN
ejpam-6145	294	10	,	,	PUNCT
ejpam-6145	294	11	and	and	CCONJ
ejpam-6145	294	12	a.	a.	NOUN
ejpam-6145	294	13	bayati	bayati	PROPN
ejpam-6145	294	14	.	.	PUNCT
ejpam-6145	295	1	a	a	DET
ejpam-6145	295	2	new	new	ADJ
ejpam-6145	295	3	class	class	NOUN
ejpam-6145	295	4	of	of	ADP
ejpam-6145	295	5	nonlinear	nonlinear	ADJ
ejpam-6145	295	6	conjugate	conjugate	ADJ
ejpam-6145	295	7	gradient	gradient	NOUN
ejpam-6145	295	8	method	method	NOUN
ejpam-6145	295	9	for	for	ADP
ejpam-6145	295	10	solving	solve	VERB
ejpam-6145	295	11	unconstrained	unconstrained	ADJ
ejpam-6145	295	12	minimization	minimization	NOUN
ejpam-6145	295	13	problems	problem	NOUN
ejpam-6145	295	14	.	.	PUNCT
ejpam-6145	296	1	in	in	ADP
ejpam-6145	296	2	conference	conference	NOUN
ejpam-6145	296	3	(	(	PUNCT
ejpam-6145	296	4	exact	exact	ADJ
ejpam-6145	296	5	venue	venue	NOUN
ejpam-6145	296	6	not	not	PART
ejpam-6145	296	7	specified	specify	VERB
ejpam-6145	296	8	)	)	PUNCT
ejpam-6145	296	9	,	,	PUNCT
ejpam-6145	296	10	2019	2019	NUM
ejpam-6145	296	11	.	.	PUNCT
ejpam-6145	297	1	[	[	X
ejpam-6145	297	2	31	31	NUM
ejpam-6145	297	3	]	]	PUNCT
ejpam-6145	297	4	b.	b.	PROPN
ejpam-6145	297	5	a.	a.	PROPN
ejpam-6145	297	6	hassan	hassan	PROPN
ejpam-6145	297	7	and	and	CCONJ
ejpam-6145	297	8	h.	h.	PROPN
ejpam-6145	297	9	a.	a.	PROPN
ejpam-6145	297	10	alashoor	alashoor	PROPN
ejpam-6145	297	11	.	.	PUNCT
ejpam-6145	298	1	on	on	ADP
ejpam-6145	298	2	image	image	NOUN
ejpam-6145	298	3	restoration	restoration	NOUN
ejpam-6145	298	4	problems	problem	NOUN
ejpam-6145	298	5	using	use	VERB
ejpam-6145	298	6	new	new	ADJ
ejpam-6145	298	7	conjugate	conjugate	ADJ
ejpam-6145	298	8	gradient	gradient	ADJ
ejpam-6145	298	9	methods	method	NOUN
ejpam-6145	298	10	.	.	PUNCT
ejpam-6145	299	1	indonesian	indonesian	ADJ
ejpam-6145	299	2	journal	journal	PROPN
ejpam-6145	299	3	of	of	ADP
ejpam-6145	299	4	electrical	electrical	ADJ
ejpam-6145	299	5	engineering	engineering	NOUN
ejpam-6145	299	6	and	and	CCONJ
ejpam-6145	299	7	computer	computer	NOUN
ejpam-6145	299	8	science	science	NOUN
ejpam-6145	299	9	,	,	PUNCT
ejpam-6145	299	10	29(3):1438–1445	29(3):1438–1445	PROPN
ejpam-6145	299	11	,	,	PUNCT
ejpam-6145	299	12	2023	2023	NUM
ejpam-6145	299	13	.	.	PUNCT
ejpam-6145	300	1	[	[	X
ejpam-6145	300	2	32	32	NUM
ejpam-6145	300	3	]	]	PUNCT
ejpam-6145	300	4	s.	s.	PROPN
ejpam-6145	300	5	g.	g.	PROPN
ejpam-6145	300	6	shareef	shareef	PROPN
ejpam-6145	300	7	and	and	CCONJ
ejpam-6145	300	8	a.	a.	PROPN
ejpam-6145	300	9	l.	l.	PROPN
ejpam-6145	300	10	ibrahim	ibrahim	PROPN
ejpam-6145	300	11	.	.	PUNCT
ejpam-6145	301	1	a	a	DET
ejpam-6145	301	2	new	new	ADJ
ejpam-6145	301	3	conjugate	conjugate	ADJ
ejpam-6145	301	4	gradient	gradient	NOUN
ejpam-6145	301	5	for	for	ADP
ejpam-6145	301	6	unconstrained	unconstrained	ADJ
ejpam-6145	301	7	optimization	optimization	NOUN
ejpam-6145	301	8	based	base	VERB
ejpam-6145	301	9	on	on	ADP
ejpam-6145	301	10	step	step	NOUN
ejpam-6145	301	11	size	size	NOUN
ejpam-6145	301	12	of	of	ADP
ejpam-6145	301	13	barzilai	barzilai	NOUN
ejpam-6145	301	14	and	and	CCONJ
ejpam-6145	301	15	borwein	borwein	ADJ
ejpam-6145	301	16	.	.	PUNCT
ejpam-6145	302	1	scientific	scientific	ADJ
ejpam-6145	302	2	journal	journal	NOUN
ejpam-6145	302	3	of	of	ADP
ejpam-6145	302	4	university	university	PROPN
ejpam-6145	302	5	of	of	ADP
ejpam-6145	302	6	zakho	zakho	PROPN
ejpam-6145	302	7	,	,	PUNCT
ejpam-6145	302	8	4(1):104–114	4(1):104–114	NUM
ejpam-6145	302	9	,	,	PUNCT
ejpam-6145	302	10	2016	2016	NUM
ejpam-6145	302	11	.	.	PUNCT
ejpam-6145	303	1	[	[	X
ejpam-6145	303	2	33	33	NUM
ejpam-6145	303	3	]	]	PUNCT
ejpam-6145	303	4	a.	a.	PROPN
ejpam-6145	303	5	l.	l.	PROPN
ejpam-6145	303	6	ibrahim	ibrahim	PROPN
ejpam-6145	303	7	,	,	PUNCT
ejpam-6145	303	8	m.	m.	NOUN
ejpam-6145	303	9	a.	a.	PROPN
ejpam-6145	303	10	sadiq	sadiq	PROPN
ejpam-6145	303	11	,	,	PUNCT
ejpam-6145	303	12	and	and	CCONJ
ejpam-6145	303	13	s.	s.	PROPN
ejpam-6145	303	14	g.	g.	PROPN
ejpam-6145	303	15	shareef	shareef	PROPN
ejpam-6145	303	16	.	.	PUNCT
ejpam-6145	304	1	a	a	DET
ejpam-6145	304	2	new	new	ADJ
ejpam-6145	304	3	conjugate	conjugate	ADJ
ejpam-6145	304	4	gradient	gradient	ADJ
ejpam-6145	304	5	coefficient	coefficient	NOUN
ejpam-6145	304	6	for	for	ADP
ejpam-6145	304	7	unconstrained	unconstrained	ADJ
ejpam-6145	304	8	optimization	optimization	NOUN
ejpam-6145	304	9	based	base	VERB
ejpam-6145	304	10	on	on	ADP
ejpam-6145	304	11	dai	dai	PROPN
ejpam-6145	304	12	-	-	PUNCT
ejpam-6145	304	13	liao	liao	PROPN
ejpam-6145	304	14	.	.	PUNCT
ejpam-6145	304	15	scientific	scientific	ADJ
ejpam-6145	304	16	journal	journal	NOUN
ejpam-6145	304	17	of	of	ADP
ejpam-6145	304	18	university	university	PROPN
ejpam-6145	304	19	of	of	ADP
ejpam-6145	304	20	zakho	zakho	PROPN
ejpam-6145	304	21	,	,	PUNCT
ejpam-6145	304	22	7(1):34–36	7(1):34–36	NUM
ejpam-6145	304	23	,	,	PUNCT
ejpam-6145	304	24	2019	2019	NUM
ejpam-6145	304	25	.	.	PUNCT
ejpam-6145	305	1	[	[	X
ejpam-6145	305	2	34	34	NUM
ejpam-6145	305	3	]	]	X
ejpam-6145	305	4	b.	b.	PROPN
ejpam-6145	305	5	a.	a.	PROPN
ejpam-6145	305	6	hassan	hassan	PROPN
ejpam-6145	305	7	,	,	PUNCT
ejpam-6145	305	8	i.	i.	PROPN
ejpam-6145	305	9	a.	a.	PROPN
ejpam-6145	305	10	r.	r.	PROPN
ejpam-6145	305	11	moghrabi	moghrabi	PROPN
ejpam-6145	305	12	,	,	PUNCT
ejpam-6145	305	13	and	and	CCONJ
ejpam-6145	305	14	i.	i.	PROPN
ejpam-6145	305	15	m.	m.	PROPN
ejpam-6145	305	16	sulaiman	sulaiman	PROPN
ejpam-6145	305	17	.	.	PUNCT
ejpam-6145	306	1	new	new	ADJ
ejpam-6145	306	2	conjugate	conjugate	ADJ
ejpam-6145	306	3	gradient	gradient	NOUN
ejpam-6145	306	4	image	image	NOUN
ejpam-6145	306	5	processing	processing	NOUN
ejpam-6145	306	6	methods	method	NOUN
ejpam-6145	306	7	.	.	PUNCT
ejpam-6145	307	1	asian	asian	ADJ
ejpam-6145	307	2	-	-	PUNCT
ejpam-6145	307	3	european	european	ADJ
ejpam-6145	307	4	journal	journal	NOUN
ejpam-6145	307	5	of	of	ADP
ejpam-6145	307	6	mathematics	mathematic	NOUN
ejpam-6145	307	7	,	,	PUNCT
ejpam-6145	307	8	16(6	16(6	NUM
ejpam-6145	307	9	)	)	PUNCT
ejpam-6145	307	10	,	,	PUNCT
ejpam-6145	307	11	2023	2023	NUM
ejpam-6145	307	12	.	.	PUNCT
ejpam-6145	308	1	[	[	X
ejpam-6145	308	2	35	35	NUM
ejpam-6145	308	3	]	]	X
ejpam-6145	308	4	j.	j.	PROPN
ejpam-6145	308	5	barzilai	barzilai	PROPN
ejpam-6145	308	6	and	and	CCONJ
ejpam-6145	308	7	j.	j.	PROPN
ejpam-6145	308	8	borwein	borwein	PROPN
ejpam-6145	308	9	.	.	PUNCT
ejpam-6145	309	1	two	two	NUM
ejpam-6145	309	2	-	-	PUNCT
ejpam-6145	309	3	point	point	NOUN
ejpam-6145	309	4	step	step	NOUN
ejpam-6145	309	5	size	size	NOUN
ejpam-6145	309	6	gradient	gradient	NOUN
ejpam-6145	309	7	methods	method	NOUN
ejpam-6145	309	8	.	.	PUNCT
ejpam-6145	310	1	i	i	PRON
ejpam-6145	310	2	m	m	VERB
ejpam-6145	310	3	a	a	DET
ejpam-6145	310	4	journal	journal	NOUN
ejpam-6145	310	5	of	of	ADP
ejpam-6145	310	6	numerical	numerical	ADJ
ejpam-6145	310	7	analysis	analysis	NOUN
ejpam-6145	310	8	,	,	PUNCT
ejpam-6145	310	9	8:141–148	8:141–148	NOUN
ejpam-6145	310	10	,	,	PUNCT
ejpam-6145	310	11	1988	1988	NUM
ejpam-6145	310	12	.	.	PUNCT
ejpam-6145	311	1	[	[	X
ejpam-6145	311	2	36	36	NUM
ejpam-6145	311	3	]	]	X
ejpam-6145	311	4	e.	e.	PROPN
ejpam-6145	311	5	g.	g.	PROPN
ejpam-6145	311	6	birgin	birgin	PROPN
ejpam-6145	311	7	and	and	CCONJ
ejpam-6145	311	8	j.	j.	PROPN
ejpam-6145	311	9	m.	m.	PROPN
ejpam-6145	311	10	mart́ınez	mart́ınez	PROPN
ejpam-6145	311	11	.	.	PUNCT
ejpam-6145	312	1	a	a	DET
ejpam-6145	312	2	spectral	spectral	ADJ
ejpam-6145	312	3	conjugate	conjugate	ADJ
ejpam-6145	312	4	gradient	gradient	NOUN
ejpam-6145	312	5	method	method	NOUN
ejpam-6145	312	6	for	for	ADP
ejpam-6145	312	7	unconstrained	unconstrained	ADJ
ejpam-6145	312	8	optimization	optimization	NOUN
ejpam-6145	312	9	.	.	PUNCT
ejpam-6145	313	1	applied	apply	VERB
ejpam-6145	313	2	mathematical	mathematical	ADJ
ejpam-6145	313	3	optimization	optimization	NOUN
ejpam-6145	313	4	,	,	PUNCT
ejpam-6145	313	5	43:117–128	43:117–128	PROPN
ejpam-6145	313	6	,	,	PUNCT
ejpam-6145	313	7	2001	2001	NUM
ejpam-6145	313	8	.	.	PUNCT
ejpam-6145	314	1	[	[	X
ejpam-6145	314	2	37	37	NUM
ejpam-6145	314	3	]	]	PUNCT
ejpam-6145	314	4	z.	z.	PROPN
ejpam-6145	314	5	liu	liu	PROPN
ejpam-6145	314	6	and	and	CCONJ
ejpam-6145	314	7	h.	h.	PROPN
ejpam-6145	314	8	liu	liu	PROPN
ejpam-6145	314	9	.	.	PUNCT
ejpam-6145	315	1	an	an	DET
ejpam-6145	315	2	efficient	efficient	ADJ
ejpam-6145	315	3	gradient	gradient	NOUN
ejpam-6145	315	4	method	method	NOUN
ejpam-6145	315	5	with	with	ADP
ejpam-6145	315	6	approximate	approximate	ADJ
ejpam-6145	315	7	optimal	optimal	ADJ
ejpam-6145	315	8	stepsize	stepsize	NOUN
ejpam-6145	315	9	for	for	ADP
ejpam-6145	315	10	large	large	ADJ
ejpam-6145	315	11	-	-	PUNCT
ejpam-6145	315	12	scale	scale	NOUN
ejpam-6145	315	13	unconstrained	unconstrained	ADJ
ejpam-6145	315	14	optimization	optimization	NOUN
ejpam-6145	315	15	.	.	PUNCT
ejpam-6145	316	1	numerical	numerical	ADJ
ejpam-6145	316	2	algorithms	algorithms	PROPN
ejpam-6145	316	3	,	,	PUNCT
ejpam-6145	316	4	78(1):21–39	78(1):21–39	NUM
ejpam-6145	316	5	,	,	PUNCT
ejpam-6145	316	6	2017	2017	NUM
ejpam-6145	316	7	.	.	PUNCT
ejpam-6145	317	1	[	[	X
ejpam-6145	317	2	38	38	NUM
ejpam-6145	317	3	]	]	PUNCT
ejpam-6145	317	4	g.	g.	PROPN
ejpam-6145	317	5	yu	yu	PROPN
ejpam-6145	317	6	,	,	PUNCT
ejpam-6145	317	7	l.	l.	PROPN
ejpam-6145	317	8	guan	guan	PROPN
ejpam-6145	317	9	,	,	PUNCT
ejpam-6145	317	10	and	and	CCONJ
ejpam-6145	317	11	w.	w.	PROPN
ejpam-6145	317	12	chen	chen	PROPN
ejpam-6145	317	13	.	.	PUNCT
ejpam-6145	318	1	spectral	spectral	ADJ
ejpam-6145	318	2	conjugate	conjugate	ADJ
ejpam-6145	318	3	gradient	gradient	ADJ
ejpam-6145	318	4	methods	method	NOUN
ejpam-6145	318	5	with	with	ADP
ejpam-6145	318	6	sufficient	sufficient	ADJ
ejpam-6145	318	7	descent	descent	NOUN
ejpam-6145	318	8	property	property	NOUN
ejpam-6145	318	9	for	for	ADP
ejpam-6145	318	10	large	large	ADJ
ejpam-6145	318	11	-	-	PUNCT
ejpam-6145	318	12	scale	scale	NOUN
ejpam-6145	318	13	unconstrained	unconstrained	ADJ
ejpam-6145	318	14	optimization	optimization	NOUN
ejpam-6145	318	15	.	.	PUNCT
ejpam-6145	319	1	optimization	optimization	NOUN
ejpam-6145	319	2	methods	method	NOUN
ejpam-6145	319	3	and	and	CCONJ
ejpam-6145	319	4	software	software	NOUN
ejpam-6145	319	5	,	,	PUNCT
ejpam-6145	319	6	23(2):275–293	23(2):275–293	PROPN
ejpam-6145	319	7	,	,	PUNCT
ejpam-6145	319	8	2008	2008	NUM
ejpam-6145	319	9	.	.	PUNCT
ejpam-6145	320	1	[	[	X
ejpam-6145	320	2	39	39	NUM
ejpam-6145	320	3	]	]	PUNCT
ejpam-6145	320	4	z.	z.	PROPN
ejpam-6145	320	5	wan	wan	PROPN
ejpam-6145	320	6	,	,	PUNCT
ejpam-6145	320	7	z.	z.	PROPN
ejpam-6145	320	8	yang	yang	PROPN
ejpam-6145	320	9	,	,	PUNCT
ejpam-6145	320	10	and	and	CCONJ
ejpam-6145	320	11	y.	y.	PROPN
ejpam-6145	320	12	wang	wang	PROPN
ejpam-6145	320	13	.	.	PUNCT
ejpam-6145	321	1	new	new	ADJ
ejpam-6145	321	2	spectral	spectral	ADJ
ejpam-6145	321	3	prp	prp	PROPN
ejpam-6145	321	4	conjugate	conjugate	ADJ
ejpam-6145	321	5	gradient	gradient	NOUN
ejpam-6145	321	6	method	method	NOUN
ejpam-6145	321	7	for	for	ADP
ejpam-6145	321	8	unconstrained	unconstrained	ADJ
ejpam-6145	321	9	optimization	optimization	NOUN
ejpam-6145	321	10	.	.	PUNCT
ejpam-6145	322	1	applied	apply	VERB
ejpam-6145	322	2	mathematics	mathematics	NOUN
ejpam-6145	322	3	letters	letter	NOUN
ejpam-6145	322	4	,	,	PUNCT
ejpam-6145	322	5	24(1):16–22	24(1):16–22	NUM
ejpam-6145	322	6	,	,	PUNCT
ejpam-6145	322	7	2011	2011	NUM
ejpam-6145	322	8	.	.	PUNCT
ejpam-6145	323	1	[	[	X
ejpam-6145	323	2	40	40	NUM
ejpam-6145	323	3	]	]	PUNCT
ejpam-6145	323	4	l.	l.	PROPN
ejpam-6145	323	5	zhang	zhang	PROPN
ejpam-6145	323	6	,	,	PUNCT
ejpam-6145	323	7	w.	w.	PROPN
ejpam-6145	323	8	zhou	zhou	PROPN
ejpam-6145	323	9	,	,	PUNCT
ejpam-6145	323	10	and	and	CCONJ
ejpam-6145	323	11	d.	d.	PROPN
ejpam-6145	323	12	li	li	PROPN
ejpam-6145	323	13	.	.	PROPN
ejpam-6145	324	1	global	global	ADJ
ejpam-6145	324	2	convergence	convergence	NOUN
ejpam-6145	324	3	of	of	ADP
ejpam-6145	324	4	a	a	DET
ejpam-6145	324	5	modified	modify	VERB
ejpam-6145	324	6	fletcher	fletcher	NOUN
ejpam-6145	324	7	–	–	PUNCT
ejpam-6145	324	8	reeves	reeve	NOUN
ejpam-6145	324	9	conjugate	conjugate	VERB
ejpam-6145	324	10	gradient	gradient	ADJ
ejpam-6145	324	11	method	method	NOUN
ejpam-6145	324	12	with	with	ADP
ejpam-6145	324	13	armijo	armijo	PROPN
ejpam-6145	324	14	-	-	PUNCT
ejpam-6145	324	15	type	type	NOUN
ejpam-6145	324	16	line	line	NOUN
ejpam-6145	324	17	search	search	NOUN
ejpam-6145	324	18	.	.	PUNCT
ejpam-6145	325	1	numerische	numerische	PROPN
ejpam-6145	325	2	mathematik	mathematik	PROPN
ejpam-6145	325	3	,	,	PUNCT
ejpam-6145	325	4	104(4):561–572	104(4):561–572	NUM
ejpam-6145	325	5	,	,	PUNCT
ejpam-6145	325	6	2006	2006	NUM
ejpam-6145	325	7	.	.	PUNCT
ejpam-6145	326	1	[	[	X
ejpam-6145	326	2	41	41	NUM
ejpam-6145	326	3	]	]	X
ejpam-6145	326	4	n.	n.	PROPN
ejpam-6145	326	5	andrei	andrei	PROPN
ejpam-6145	326	6	.	.	PUNCT
ejpam-6145	327	1	new	new	ADJ
ejpam-6145	327	2	accelerated	accelerate	VERB
ejpam-6145	327	3	conjugate	conjugate	ADJ
ejpam-6145	327	4	gradient	gradient	NOUN
ejpam-6145	327	5	algorithms	algorithm	NOUN
ejpam-6145	327	6	as	as	ADP
ejpam-6145	327	7	a	a	DET
ejpam-6145	327	8	modification	modification	NOUN
ejpam-6145	327	9	of	of	ADP
ejpam-6145	327	10	dai	dai	PROPN
ejpam-6145	327	11	–	–	PUNCT
ejpam-6145	327	12	yuan	yuan	PROPN
ejpam-6145	327	13	’s	’s	PART
ejpam-6145	327	14	computational	computational	ADJ
ejpam-6145	327	15	scheme	scheme	NOUN
ejpam-6145	327	16	for	for	ADP
ejpam-6145	327	17	unconstrained	unconstrained	ADJ
ejpam-6145	327	18	optimization	optimization	NOUN
ejpam-6145	327	19	.	.	PUNCT
ejpam-6145	328	1	journal	journal	PROPN
ejpam-6145	328	2	of	of	ADP
ejpam-6145	328	3	computational	computational	ADJ
ejpam-6145	328	4	and	and	CCONJ
ejpam-6145	328	5	applied	applied	ADJ
ejpam-6145	328	6	mathematics	mathematic	NOUN
ejpam-6145	328	7	,	,	PUNCT
ejpam-6145	328	8	234(12):3397–3410	234(12):3397–3410	NUM
ejpam-6145	328	9	,	,	PUNCT
ejpam-6145	328	10	2010	2010	NUM
ejpam-6145	328	11	.	.	PUNCT
ejpam-6145	329	1	[	[	X
ejpam-6145	329	2	42	42	NUM
ejpam-6145	329	3	]	]	X
ejpam-6145	329	4	n.	n.	PROPN
ejpam-6145	329	5	andrei	andrei	PROPN
ejpam-6145	329	6	.	.	PUNCT
ejpam-6145	330	1	an	an	DET
ejpam-6145	330	2	accelerated	accelerate	VERB
ejpam-6145	330	3	conjugate	conjugate	ADJ
ejpam-6145	330	4	gradient	gradient	ADJ
ejpam-6145	330	5	algorithm	algorithm	NOUN
ejpam-6145	330	6	for	for	ADP
ejpam-6145	330	7	unconstrained	unconstrained	ADJ
ejpam-6145	330	8	optimization	optimization	NOUN
ejpam-6145	330	9	.	.	PUNCT
ejpam-6145	331	1	applied	apply	VERB
ejpam-6145	331	2	mathematics	mathematic	NOUN
ejpam-6145	331	3	and	and	CCONJ
ejpam-6145	331	4	computation	computation	NOUN
ejpam-6145	331	5	,	,	PUNCT
ejpam-6145	331	6	204(2):870–876	204(2):870–876	NUM
ejpam-6145	331	7	,	,	PUNCT
ejpam-6145	331	8	2008	2008	NUM
ejpam-6145	331	9	.	.	PUNCT
ejpam-6145	332	1	[	[	X
ejpam-6145	332	2	43	43	NUM
ejpam-6145	332	3	]	]	PUNCT
ejpam-6145	332	4	x.	x.	PROPN
ejpam-6145	332	5	wang	wang	PROPN
ejpam-6145	332	6	,	,	PUNCT
ejpam-6145	332	7	s.	s.	PROPN
ejpam-6145	332	8	ma	ma	PROPN
ejpam-6145	332	9	,	,	PUNCT
ejpam-6145	332	10	d.	d.	PROPN
ejpam-6145	332	11	goldfarb	goldfarb	PROPN
ejpam-6145	332	12	,	,	PUNCT
ejpam-6145	332	13	and	and	CCONJ
ejpam-6145	332	14	w.	w.	PROPN
ejpam-6145	332	15	liu	liu	PROPN
ejpam-6145	332	16	.	.	PUNCT
ejpam-6145	333	1	stochastic	stochastic	ADJ
ejpam-6145	333	2	quasi	quasi	PROPN
ejpam-6145	333	3	-	-	ADJ
ejpam-6145	333	4	newton	newton	PROPN
ejpam-6145	333	5	methods	method	NOUN
ejpam-6145	333	6	for	for	ADP
ejpam-6145	333	7	nonconvex	nonconvex	NOUN
ejpam-6145	333	8	stochastic	stochastic	ADJ
ejpam-6145	333	9	optimization	optimization	NOUN
ejpam-6145	333	10	.	.	PUNCT
ejpam-6145	334	1	siam	siam	PROPN
ejpam-6145	334	2	journal	journal	PROPN
ejpam-6145	334	3	on	on	ADP
ejpam-6145	334	4	optimization	optimization	NOUN
ejpam-6145	334	5	,	,	PUNCT
ejpam-6145	334	6	27(2):927–956	27(2):927–956	PROPN
ejpam-6145	334	7	,	,	PUNCT
ejpam-6145	334	8	2017	2017	NUM
ejpam-6145	334	9	.	.	PUNCT
ejpam-6145	335	1	[	[	X
ejpam-6145	335	2	44	44	NUM
ejpam-6145	335	3	]	]	PUNCT
ejpam-6145	335	4	d.	d.	PROPN
ejpam-6145	335	5	c.	c.	PROPN
ejpam-6145	335	6	liu	liu	PROPN
ejpam-6145	335	7	and	and	CCONJ
ejpam-6145	335	8	j.	j.	PROPN
ejpam-6145	335	9	nocedal	nocedal	PROPN
ejpam-6145	335	10	.	.	PUNCT
ejpam-6145	336	1	on	on	ADP
ejpam-6145	336	2	the	the	DET
ejpam-6145	336	3	limited	limited	ADJ
ejpam-6145	336	4	memory	memory	NOUN
ejpam-6145	336	5	bfgs	bfgs	ADJ
ejpam-6145	336	6	method	method	NOUN
ejpam-6145	336	7	for	for	ADP
ejpam-6145	336	8	large	large	ADJ
ejpam-6145	336	9	scale	scale	NOUN
ejpam-6145	336	10	optimization	optimization	NOUN
ejpam-6145	336	11	.	.	PUNCT
ejpam-6145	337	1	mathematical	mathematical	ADJ
ejpam-6145	337	2	programming	programming	NOUN
ejpam-6145	337	3	,	,	PUNCT
ejpam-6145	337	4	45(1–3):503–528	45(1–3):503–528	PROPN
ejpam-6145	337	5	,	,	PUNCT
ejpam-6145	337	6	1989	1989	NUM
ejpam-6145	337	7	.	.	PUNCT
ejpam-6145	338	1	[	[	X
ejpam-6145	338	2	45	45	NUM
ejpam-6145	338	3	]	]	PUNCT
ejpam-6145	338	4	m.	m.	NOUN
ejpam-6145	338	5	j.	j.	PROPN
ejpam-6145	338	6	d.	d.	PROPN
ejpam-6145	338	7	powell	powell	PROPN
ejpam-6145	338	8	.	.	PUNCT
ejpam-6145	339	1	algorithms	algorithm	NOUN
ejpam-6145	339	2	for	for	ADP
ejpam-6145	339	3	nonlinear	nonlinear	ADJ
ejpam-6145	339	4	constraints	constraint	NOUN
ejpam-6145	339	5	that	that	PRON
ejpam-6145	339	6	use	use	VERB
ejpam-6145	339	7	lagrangian	lagrangian	ADJ
ejpam-6145	339	8	functions	function	NOUN
ejpam-6145	339	9	.	.	PUNCT
ejpam-6145	340	1	mathematical	mathematical	ADJ
ejpam-6145	340	2	programming	programming	NOUN
ejpam-6145	340	3	,	,	PUNCT
ejpam-6145	340	4	14:224–248	14:224–248	NUM
ejpam-6145	340	5	,	,	PUNCT
ejpam-6145	340	6	1978	1978	NUM
ejpam-6145	340	7	.	.	PUNCT
ejpam-6145	341	1	k.	k.	PROPN
ejpam-6145	341	2	j.	j.	PROPN
ejpam-6145	341	3	murad	murad	PROPN
ejpam-6145	341	4	,	,	PUNCT
ejpam-6145	341	5	s.	s.	PROPN
ejpam-6145	341	6	g.	g.	PROPN
ejpam-6145	341	7	shareef	shareef	PROPN
ejpam-6145	341	8	/	/	PUNCT
ejpam-6145	341	9	eur	eur	PROPN
ejpam-6145	341	10	.	.	PUNCT
ejpam-6145	342	1	j.	j.	PROPN
ejpam-6145	342	2	pure	pure	PROPN
ejpam-6145	342	3	appl	appl	PROPN
ejpam-6145	342	4	.	.	PROPN
ejpam-6145	342	5	math	math	PROPN
ejpam-6145	342	6	,	,	PUNCT
ejpam-6145	342	7	18	18	NUM
ejpam-6145	342	8	(	(	PUNCT
ejpam-6145	342	9	3	3	NUM
ejpam-6145	342	10	)	)	PUNCT
ejpam-6145	342	11	(	(	PUNCT
ejpam-6145	342	12	2025	2025	NUM
ejpam-6145	342	13	)	)	PUNCT
ejpam-6145	342	14	,	,	PUNCT
ejpam-6145	342	15	6145	6145	NUM
ejpam-6145	342	16	17	17	NUM
ejpam-6145	342	17	of	of	ADP
ejpam-6145	342	18	17	17	NUM
ejpam-6145	342	19	[	[	X
ejpam-6145	342	20	46	46	NUM
ejpam-6145	342	21	]	]	X
ejpam-6145	342	22	y.	y.	PROPN
ejpam-6145	342	23	dai	dai	PROPN
ejpam-6145	342	24	,	,	PUNCT
ejpam-6145	342	25	j.	j.	PROPN
ejpam-6145	342	26	han	han	PROPN
ejpam-6145	342	27	,	,	PUNCT
ejpam-6145	342	28	g.	g.	PROPN
ejpam-6145	342	29	liu	liu	PROPN
ejpam-6145	342	30	,	,	PUNCT
ejpam-6145	342	31	d.	d.	PROPN
ejpam-6145	342	32	sun	sun	PROPN
ejpam-6145	342	33	,	,	PUNCT
ejpam-6145	342	34	h.	h.	PROPN
ejpam-6145	342	35	yin	yin	PROPN
ejpam-6145	342	36	,	,	PUNCT
ejpam-6145	342	37	and	and	CCONJ
ejpam-6145	342	38	y.	y.	PROPN
ejpam-6145	342	39	yuan	yuan	PROPN
ejpam-6145	342	40	.	.	PUNCT
ejpam-6145	343	1	convergence	convergence	NOUN
ejpam-6145	343	2	properties	property	NOUN
ejpam-6145	343	3	of	of	ADP
ejpam-6145	343	4	nonlinear	nonlinear	ADJ
ejpam-6145	343	5	conjugate	conjugate	ADJ
ejpam-6145	343	6	gradient	gradient	ADJ
ejpam-6145	343	7	methods	method	NOUN
ejpam-6145	343	8	.	.	PUNCT
ejpam-6145	344	1	siam	siam	PROPN
ejpam-6145	344	2	journal	journal	PROPN
ejpam-6145	344	3	on	on	ADP
ejpam-6145	344	4	optimization	optimization	NOUN
ejpam-6145	344	5	,	,	PUNCT
ejpam-6145	344	6	10:345–358	10:345–358	PROPN
ejpam-6145	344	7	,	,	PUNCT
ejpam-6145	344	8	1999	1999	NUM
ejpam-6145	344	9	.	.	PUNCT
ejpam-6145	345	1	[	[	X
ejpam-6145	345	2	47	47	NUM
ejpam-6145	345	3	]	]	X
ejpam-6145	345	4	n.	n.	PROPN
ejpam-6145	345	5	andrei	andrei	PROPN
ejpam-6145	345	6	.	.	PUNCT
ejpam-6145	346	1	an	an	DET
ejpam-6145	346	2	unconstrained	unconstrained	ADJ
ejpam-6145	346	3	optimization	optimization	NOUN
ejpam-6145	346	4	test	test	NOUN
ejpam-6145	346	5	functions	function	NOUN
ejpam-6145	346	6	collection	collection	NOUN
ejpam-6145	346	7	.	.	PUNCT
ejpam-6145	347	1	advances	advance	NOUN
ejpam-6145	347	2	in	in	ADP
ejpam-6145	347	3	modeling	modeling	NOUN
ejpam-6145	347	4	and	and	CCONJ
ejpam-6145	347	5	optimization	optimization	NOUN
ejpam-6145	347	6	,	,	PUNCT
ejpam-6145	347	7	10(1):147–161	10(1):147–161	PROPN
ejpam-6145	347	8	,	,	PUNCT
ejpam-6145	347	9	2008	2008	NUM
ejpam-6145	347	10	.	.	PUNCT
ejpam-6145	348	1	[	[	X
ejpam-6145	348	2	48	48	NUM
ejpam-6145	348	3	]	]	PUNCT
ejpam-6145	348	4	e.	e.	PROPN
ejpam-6145	348	5	d.	d.	PROPN
ejpam-6145	348	6	dolan	dolan	PROPN
ejpam-6145	348	7	and	and	CCONJ
ejpam-6145	348	8	j.	j.	PROPN
ejpam-6145	348	9	j.	j.	PROPN
ejpam-6145	348	10	moré.	moré.	PROPN
ejpam-6145	348	11	benchmarking	benchmarke	VERB
ejpam-6145	348	12	optimization	optimization	NOUN
ejpam-6145	348	13	software	software	NOUN
ejpam-6145	348	14	with	with	ADP
ejpam-6145	348	15	performance	performance	NOUN
ejpam-6145	348	16	profiles	profile	NOUN
ejpam-6145	348	17	.	.	PUNCT
ejpam-6145	349	1	mathematical	mathematical	ADJ
ejpam-6145	349	2	programming	programming	NOUN
ejpam-6145	349	3	,	,	PUNCT
ejpam-6145	349	4	91:201	91:201	NUM
ejpam-6145	349	5	,	,	PUNCT
ejpam-6145	349	6	2002	2002	NUM
ejpam-6145	349	7	.	.	PUNCT