id	sid	tid	token	lemma	pos
ejpam-4619	1	1	european	european	PROPN
ejpam-4619	1	2	journal	journal	PROPN
ejpam-4619	1	3	of	of	ADP
ejpam-4619	1	4	pure	pure	ADJ
ejpam-4619	1	5	and	and	CCONJ
ejpam-4619	1	6	applied	apply	VERB
ejpam-4619	1	7	mathematics	mathematic	NOUN
ejpam-4619	1	8	vol	vol	NOUN
ejpam-4619	1	9	.	.	PUNCT
ejpam-4619	2	1	16	16	NUM
ejpam-4619	2	2	,	,	PUNCT
ejpam-4619	2	3	no	no	INTJ
ejpam-4619	2	4	.	.	NOUN
ejpam-4619	2	5	1	1	NUM
ejpam-4619	2	6	,	,	PUNCT
ejpam-4619	2	7	2023	2023	NUM
ejpam-4619	2	8	,	,	PUNCT
ejpam-4619	2	9	233	233	NUM
ejpam-4619	2	10	-	-	SYM
ejpam-4619	2	11	242	242	NUM
ejpam-4619	2	12	issn	issn	PROPN
ejpam-4619	2	13	1307	1307	NUM
ejpam-4619	2	14	-	-	SYM
ejpam-4619	2	15	5543	5543	NUM
ejpam-4619	2	16	–	–	PUNCT
ejpam-4619	2	17	ejpam.com	ejpam.com	X
ejpam-4619	2	18	published	publish	VERB
ejpam-4619	2	19	by	by	ADP
ejpam-4619	2	20	new	new	PROPN
ejpam-4619	2	21	york	york	PROPN
ejpam-4619	2	22	business	business	PROPN
ejpam-4619	2	23	global	global	PROPN
ejpam-4619	2	24	a	a	DET
ejpam-4619	2	25	new	new	ADJ
ejpam-4619	2	26	scalar	scalar	NOUN
ejpam-4619	2	27	of	of	ADP
ejpam-4619	2	28	conjugate	conjugate	ADJ
ejpam-4619	2	29	gradient	gradient	ADJ
ejpam-4619	2	30	methods	method	NOUN
ejpam-4619	2	31	for	for	ADP
ejpam-4619	2	32	solving	solve	VERB
ejpam-4619	2	33	unconstrained	unconstrained	ADJ
ejpam-4619	2	34	minimization	minimization	NOUN
ejpam-4619	2	35	saja	saja	PROPN
ejpam-4619	2	36	o.	o.	PROPN
ejpam-4619	2	37	mohammad	mohammad	PROPN
ejpam-4619	2	38	t.1	t.1	PROPN
ejpam-4619	2	39	,	,	PUNCT
ejpam-4619	2	40	hamsa	hamsa	NOUN
ejpam-4619	2	41	th	th	PROPN
ejpam-4619	2	42	.	.	PUNCT
ejpam-4619	3	1	saeed	saeed	PROPN
ejpam-4619	3	2	chilmeran2	chilmeran2	PROPN
ejpam-4619	3	3	,	,	PUNCT
ejpam-4619	3	4	rana	rana	PROPN
ejpam-4619	3	5	z.	z.	PROPN
ejpam-4619	3	6	al	al	PROPN
ejpam-4619	3	7	-	-	PROPN
ejpam-4619	3	8	kawaz3,∗	kawaz3,∗	ADJ
ejpam-4619	3	9	1	1	NUM
ejpam-4619	3	10	department	department	NOUN
ejpam-4619	3	11	of	of	ADP
ejpam-4619	3	12	mathematics	mathematic	NOUN
ejpam-4619	3	13	,	,	PUNCT
ejpam-4619	3	14	college	college	NOUN
ejpam-4619	3	15	of	of	ADP
ejpam-4619	3	16	basic	basic	ADJ
ejpam-4619	3	17	education	education	NOUN
ejpam-4619	3	18	,	,	PUNCT
ejpam-4619	3	19	university	university	NOUN
ejpam-4619	3	20	of	of	ADP
ejpam-4619	3	21	mosul	mosul	PROPN
ejpam-4619	3	22	,	,	PUNCT
ejpam-4619	3	23	mosul	mosul	PROPN
ejpam-4619	3	24	,	,	PUNCT
ejpam-4619	3	25	iraq	iraq	PROPN
ejpam-4619	3	26	2	2	NUM
ejpam-4619	3	27	department	department	NOUN
ejpam-4619	3	28	of	of	ADP
ejpam-4619	3	29	mathematics	mathematic	NOUN
ejpam-4619	3	30	,	,	PUNCT
ejpam-4619	3	31	college	college	NOUN
ejpam-4619	3	32	of	of	ADP
ejpam-4619	3	33	computer	computer	NOUN
ejpam-4619	3	34	sciences	sciences	PROPN
ejpam-4619	3	35	and	and	CCONJ
ejpam-4619	3	36	mathematics	mathematic	NOUN
ejpam-4619	3	37	,	,	PUNCT
ejpam-4619	3	38	university	university	PROPN
ejpam-4619	3	39	of	of	ADP
ejpam-4619	3	40	mosul	mosul	PROPN
ejpam-4619	3	41	,	,	PUNCT
ejpam-4619	3	42	iraq	iraq	PROPN
ejpam-4619	3	43	3	3	NUM
ejpam-4619	3	44	department	department	NOUN
ejpam-4619	3	45	of	of	ADP
ejpam-4619	3	46	mathematics	mathematics	PROPN
ejpam-4619	3	47	,	,	PUNCT
ejpam-4619	3	48	college	college	NOUN
ejpam-4619	3	49	of	of	ADP
ejpam-4619	3	50	basic	basic	ADJ
ejpam-4619	3	51	education	education	NOUN
ejpam-4619	3	52	,	,	PUNCT
ejpam-4619	3	53	university	university	NOUN
ejpam-4619	3	54	of	of	ADP
ejpam-4619	3	55	telafer	telafer	PROPN
ejpam-4619	3	56	,	,	PUNCT
ejpam-4619	3	57	mosul	mosul	PROPN
ejpam-4619	3	58	,	,	PUNCT
ejpam-4619	3	59	iraq	iraq	PROPN
ejpam-4619	3	60	abstract	abstract	NOUN
ejpam-4619	3	61	.	.	PUNCT
ejpam-4619	4	1	in	in	ADP
ejpam-4619	4	2	this	this	DET
ejpam-4619	4	3	paper	paper	NOUN
ejpam-4619	4	4	,	,	PUNCT
ejpam-4619	4	5	we	we	PRON
ejpam-4619	4	6	derive	derive	VERB
ejpam-4619	4	7	a	a	DET
ejpam-4619	4	8	search	search	NOUN
ejpam-4619	4	9	direction	direction	NOUN
ejpam-4619	4	10	for	for	ADP
ejpam-4619	4	11	the	the	DET
ejpam-4619	4	12	conjugate	conjugate	ADJ
ejpam-4619	4	13	-	-	PUNCT
ejpam-4619	4	14	gradient	gradient	NOUN
ejpam-4619	4	15	method	method	NOUN
ejpam-4619	4	16	based	base	VERB
ejpam-4619	4	17	on	on	ADP
ejpam-4619	4	18	the	the	DET
ejpam-4619	4	19	use	use	NOUN
ejpam-4619	4	20	of	of	ADP
ejpam-4619	4	21	the	the	DET
ejpam-4619	4	22	self	self	NOUN
ejpam-4619	4	23	-	-	PUNCT
ejpam-4619	4	24	scaling	scale	VERB
ejpam-4619	4	25	quasi	quasi	NOUN
ejpam-4619	4	26	newton	newton	PROPN
ejpam-4619	4	27	-	-	PUNCT
ejpam-4619	4	28	method	method	NOUN
ejpam-4619	4	29	,	,	PUNCT
ejpam-4619	4	30	and	and	CCONJ
ejpam-4619	4	31	the	the	DET
ejpam-4619	4	32	usefulness	usefulness	NOUN
ejpam-4619	4	33	of	of	ADP
ejpam-4619	4	34	the	the	DET
ejpam-4619	4	35	new	new	ADJ
ejpam-4619	4	36	method	method	NOUN
ejpam-4619	4	37	is	be	AUX
ejpam-4619	4	38	to	to	PART
ejpam-4619	4	39	solve	solve	VERB
ejpam-4619	4	40	unconstrained	unconstrained	ADJ
ejpam-4619	4	41	optimization	optimization	NOUN
ejpam-4619	4	42	problems	problem	NOUN
ejpam-4619	4	43	with	with	ADP
ejpam-4619	4	44	large	large	ADJ
ejpam-4619	4	45	dimensions	dimension	NOUN
ejpam-4619	4	46	.	.	PUNCT
ejpam-4619	5	1	to	to	PART
ejpam-4619	5	2	clarify	clarify	VERB
ejpam-4619	5	3	the	the	DET
ejpam-4619	5	4	importance	importance	NOUN
ejpam-4619	5	5	of	of	ADP
ejpam-4619	5	6	the	the	DET
ejpam-4619	5	7	proposed	propose	VERB
ejpam-4619	5	8	method	method	NOUN
ejpam-4619	5	9	,	,	PUNCT
ejpam-4619	5	10	we	we	PRON
ejpam-4619	5	11	have	have	AUX
ejpam-4619	5	12	shown	show	VERB
ejpam-4619	5	13	its	its	PRON
ejpam-4619	5	14	characteristics	characteristic	NOUN
ejpam-4619	5	15	in	in	ADP
ejpam-4619	5	16	terms	term	NOUN
ejpam-4619	5	17	of	of	ADP
ejpam-4619	5	18	the	the	DET
ejpam-4619	5	19	sufficient	sufficient	ADJ
ejpam-4619	5	20	descent	descent	NOUN
ejpam-4619	5	21	condition	condition	NOUN
ejpam-4619	5	22	and	and	CCONJ
ejpam-4619	5	23	the	the	DET
ejpam-4619	5	24	theoretically	theoretically	ADV
ejpam-4619	5	25	global	global	ADJ
ejpam-4619	5	26	convergence	convergence	NOUN
ejpam-4619	5	27	condition	condition	NOUN
ejpam-4619	5	28	.	.	PUNCT
ejpam-4619	6	1	numerically	numerically	ADV
ejpam-4619	6	2	,	,	PUNCT
ejpam-4619	6	3	we	we	PRON
ejpam-4619	6	4	applied	apply	VERB
ejpam-4619	6	5	the	the	DET
ejpam-4619	6	6	proposed	propose	VERB
ejpam-4619	6	7	method	method	NOUN
ejpam-4619	6	8	to	to	ADP
ejpam-4619	6	9	a	a	DET
ejpam-4619	6	10	variety	variety	NOUN
ejpam-4619	6	11	of	of	ADP
ejpam-4619	6	12	known	know	VERB
ejpam-4619	6	13	test	test	NOUN
ejpam-4619	6	14	functions	function	NOUN
ejpam-4619	6	15	to	to	PART
ejpam-4619	6	16	prove	prove	VERB
ejpam-4619	6	17	its	its	PRON
ejpam-4619	6	18	effectiveness	effectiveness	NOUN
ejpam-4619	6	19	.	.	PUNCT
ejpam-4619	7	1	when	when	SCONJ
ejpam-4619	7	2	compared	compare	VERB
ejpam-4619	7	3	with	with	ADP
ejpam-4619	7	4	some	some	DET
ejpam-4619	7	5	previous	previous	ADJ
ejpam-4619	7	6	methods	method	NOUN
ejpam-4619	7	7	in	in	ADP
ejpam-4619	7	8	the	the	DET
ejpam-4619	7	9	same	same	ADJ
ejpam-4619	7	10	direction	direction	NOUN
ejpam-4619	7	11	,	,	PUNCT
ejpam-4619	7	12	the	the	DET
ejpam-4619	7	13	proposed	propose	VERB
ejpam-4619	7	14	method	method	NOUN
ejpam-4619	7	15	proved	prove	VERB
ejpam-4619	7	16	to	to	PART
ejpam-4619	7	17	be	be	AUX
ejpam-4619	7	18	superior	superior	ADJ
ejpam-4619	7	19	to	to	ADP
ejpam-4619	7	20	them	they	PRON
ejpam-4619	7	21	that	that	SCONJ
ejpam-4619	7	22	the	the	DET
ejpam-4619	7	23	tools	tool	NOUN
ejpam-4619	7	24	used	use	VERB
ejpam-4619	7	25	for	for	ADP
ejpam-4619	7	26	this	this	DET
ejpam-4619	7	27	purpose	purpose	NOUN
ejpam-4619	7	28	.	.	PUNCT
ejpam-4619	8	1	2020	2020	NUM
ejpam-4619	8	2	mathematics	mathematic	NOUN
ejpam-4619	8	3	subject	subject	NOUN
ejpam-4619	8	4	classifications	classification	NOUN
ejpam-4619	8	5	:	:	PUNCT
ejpam-4619	8	6	65k05	65k05	NUM
ejpam-4619	8	7	,	,	PUNCT
ejpam-4619	8	8	90c53	90c53	NUM
ejpam-4619	8	9	,	,	PUNCT
ejpam-4619	8	10	65k10	65k10	NUM
ejpam-4619	8	11	,	,	PUNCT
ejpam-4619	8	12	49m37	49m37	NUM
ejpam-4619	8	13	key	key	ADJ
ejpam-4619	8	14	words	word	NOUN
ejpam-4619	8	15	and	and	CCONJ
ejpam-4619	8	16	phrases	phrase	NOUN
ejpam-4619	8	17	:	:	PUNCT
ejpam-4619	8	18	conjugate	conjugate	ADJ
ejpam-4619	8	19	-	-	PUNCT
ejpam-4619	8	20	gradient	gradient	NOUN
ejpam-4619	8	21	,	,	PUNCT
ejpam-4619	8	22	self	self	NOUN
ejpam-4619	8	23	-	-	PUNCT
ejpam-4619	8	24	scaling	scaling	ADJ
ejpam-4619	8	25	,	,	PUNCT
ejpam-4619	8	26	quasi	quasi	PROPN
ejpam-4619	8	27	newton	newton	PROPN
ejpam-4619	8	28	-	-	PUNCT
ejpam-4619	8	29	method	method	NOUN
ejpam-4619	8	30	,	,	PUNCT
ejpam-4619	8	31	sufficient	sufficient	ADJ
ejpam-4619	8	32	descent	descent	NOUN
ejpam-4619	8	33	,	,	PUNCT
ejpam-4619	8	34	global	global	ADJ
ejpam-4619	8	35	convergence	convergence	NOUN
ejpam-4619	8	36	1	1	NUM
ejpam-4619	8	37	.	.	PUNCT
ejpam-4619	9	1	introduction	introduction	NOUN
ejpam-4619	9	2	optimization	optimization	NOUN
ejpam-4619	9	3	methods	method	NOUN
ejpam-4619	9	4	are	be	AUX
ejpam-4619	9	5	divided	divide	VERB
ejpam-4619	9	6	into	into	ADP
ejpam-4619	9	7	two	two	NUM
ejpam-4619	9	8	types	type	NOUN
ejpam-4619	9	9	:	:	PUNCT
ejpam-4619	9	10	methods	method	NOUN
ejpam-4619	9	11	that	that	PRON
ejpam-4619	9	12	depend	depend	VERB
ejpam-4619	9	13	on	on	ADP
ejpam-4619	9	14	the	the	DET
ejpam-4619	9	15	existence	existence	NOUN
ejpam-4619	9	16	of	of	ADP
ejpam-4619	9	17	a	a	DET
ejpam-4619	9	18	target	target	NOUN
ejpam-4619	9	19	function	function	NOUN
ejpam-4619	9	20	and	and	CCONJ
ejpam-4619	9	21	a	a	DET
ejpam-4619	9	22	set	set	NOUN
ejpam-4619	9	23	of	of	ADP
ejpam-4619	9	24	restrictions	restriction	NOUN
ejpam-4619	9	25	,	,	PUNCT
ejpam-4619	9	26	regardless	regardless	ADV
ejpam-4619	9	27	of	of	ADP
ejpam-4619	9	28	the	the	DET
ejpam-4619	9	29	number	number	NOUN
ejpam-4619	9	30	of	of	ADP
ejpam-4619	9	31	variables	variable	NOUN
ejpam-4619	9	32	used	use	VERB
ejpam-4619	9	33	in	in	ADP
ejpam-4619	9	34	the	the	DET
ejpam-4619	9	35	issue	issue	NOUN
ejpam-4619	9	36	,	,	PUNCT
ejpam-4619	9	37	and	and	CCONJ
ejpam-4619	9	38	they	they	PRON
ejpam-4619	9	39	have	have	VERB
ejpam-4619	9	40	much	much	ADJ
ejpam-4619	9	41	wide	wide	ADJ
ejpam-4619	9	42	life	life	NOUN
ejpam-4619	9	43	and	and	CCONJ
ejpam-4619	9	44	engineering	engineering	NOUN
ejpam-4619	9	45	applications	application	NOUN
ejpam-4619	9	46	to	to	ADP
ejpam-4619	9	47	this	this	DET
ejpam-4619	9	48	day	day	NOUN
ejpam-4619	9	49	called	call	VERB
ejpam-4619	9	50	(	(	PUNCT
ejpam-4619	9	51	constrained	constrain	VERB
ejpam-4619	9	52	optimization	optimization	NOUN
ejpam-4619	9	53	methods	method	NOUN
ejpam-4619	9	54	)	)	PUNCT
ejpam-4619	9	55	and	and	CCONJ
ejpam-4619	9	56	a	a	DET
ejpam-4619	9	57	second	second	ADJ
ejpam-4619	9	58	type	type	NOUN
ejpam-4619	9	59	that	that	PRON
ejpam-4619	9	60	depends	depend	VERB
ejpam-4619	9	61	only	only	ADV
ejpam-4619	9	62	on	on	ADP
ejpam-4619	9	63	the	the	DET
ejpam-4619	9	64	presence	presence	NOUN
ejpam-4619	9	65	of	of	ADP
ejpam-4619	9	66	an	an	DET
ejpam-4619	9	67	objective	objective	ADJ
ejpam-4619	9	68	function	function	NOUN
ejpam-4619	9	69	without	without	ADP
ejpam-4619	9	70	restrictions	restriction	NOUN
ejpam-4619	9	71	is	be	AUX
ejpam-4619	9	72	called	call	VERB
ejpam-4619	9	73	(	(	PUNCT
ejpam-4619	9	74	unconstrained	unconstrained	ADJ
ejpam-4619	9	75	optimization	optimization	NOUN
ejpam-4619	9	76	methods	method	NOUN
ejpam-4619	9	77	)	)	PUNCT
ejpam-4619	9	78	also	also	ADV
ejpam-4619	9	79	,	,	PUNCT
ejpam-4619	9	80	regardless	regardless	ADV
ejpam-4619	9	81	of	of	ADP
ejpam-4619	9	82	the	the	DET
ejpam-4619	9	83	number	number	NOUN
ejpam-4619	9	84	of	of	ADP
ejpam-4619	9	85	the	the	DET
ejpam-4619	9	86	issue	issue	NOUN
ejpam-4619	9	87	variables	variable	VERB
ejpam-4619	9	88	,	,	PUNCT
ejpam-4619	9	89	and	and	CCONJ
ejpam-4619	9	90	it	it	PRON
ejpam-4619	9	91	has	have	VERB
ejpam-4619	9	92	wider	wide	ADJ
ejpam-4619	9	93	applications	application	NOUN
ejpam-4619	9	94	than	than	ADP
ejpam-4619	9	95	the	the	DET
ejpam-4619	9	96	first	first	ADJ
ejpam-4619	9	97	type	type	NOUN
ejpam-4619	9	98	.	.	PUNCT
ejpam-4619	10	1	the	the	DET
ejpam-4619	10	2	conjugate	conjugate	ADJ
ejpam-4619	10	3	-	-	PUNCT
ejpam-4619	10	4	gradient	gradient	NOUN
ejpam-4619	10	5	methods	method	NOUN
ejpam-4619	10	6	were	be	AUX
ejpam-4619	10	7	influential	influential	ADJ
ejpam-4619	10	8	in	in	ADP
ejpam-4619	10	9	the	the	DET
ejpam-4619	10	10	field	field	NOUN
ejpam-4619	10	11	of	of	ADP
ejpam-4619	10	12	finding	find	VERB
ejpam-4619	10	13	minimization	minimization	NOUN
ejpam-4619	10	14	for	for	ADP
ejpam-4619	10	15	quadratic	quadratic	ADJ
ejpam-4619	10	16	and	and	CCONJ
ejpam-4619	10	17	convex	convex	NOUN
ejpam-4619	10	18	functions	function	NOUN
ejpam-4619	10	19	because	because	SCONJ
ejpam-4619	10	20	they	they	PRON
ejpam-4619	10	21	do	do	AUX
ejpam-4619	10	22	not	not	PART
ejpam-4619	10	23	need	need	VERB
ejpam-4619	10	24	to	to	PART
ejpam-4619	10	25	store	store	VERB
ejpam-4619	10	26	∗corresponding	∗corresponde	VERB
ejpam-4619	10	27	author	author	NOUN
ejpam-4619	10	28	.	.	PUNCT
ejpam-4619	11	1	doi	doi	NOUN
ejpam-4619	11	2	:	:	PUNCT
ejpam-4619	11	3	https://doi.org/10.29020/nybg.ejpam.v16i1.4619	https://doi.org/10.29020/nybg.ejpam.v16i1.4619	NUM
ejpam-4619	11	4	email	email	NOUN
ejpam-4619	11	5	addresses	address	NOUN
ejpam-4619	11	6	:	:	PUNCT
ejpam-4619	11	7	saja-othmanmt@uomosul.edu.iq	saja-othmanmt@uomosul.edu.iq	PROPN
ejpam-4619	11	8	(	(	PUNCT
ejpam-4619	11	9	s.	s.	PROPN
ejpam-4619	11	10	mohammad	mohammad	PROPN
ejpam-4619	11	11	t.	t.	PROPN
ejpam-4619	11	12	)	)	PUNCT
ejpam-4619	11	13	,	,	PUNCT
ejpam-4619	11	14	hamsathrot@uomosul.edu.iq	hamsathrot@uomosul.edu.iq	X
ejpam-4619	11	15	(	(	PUNCT
ejpam-4619	11	16	h.	h.	PROPN
ejpam-4619	11	17	chilmeran	chilmeran	PROPN
ejpam-4619	11	18	)	)	PUNCT
ejpam-4619	11	19	,	,	PUNCT
ejpam-4619	11	20	rana.alkawaz@yahoo.com	rana.alkawaz@yahoo.com	PROPN
ejpam-4619	11	21	,	,	PUNCT
ejpam-4619	11	22	ranazidan@uotelafer.edu.iq	ranazidan@uotelafer.edu.iq	NOUN
ejpam-4619	11	23	(	(	PUNCT
ejpam-4619	11	24	r.	r.	PROPN
ejpam-4619	11	25	al	al	PROPN
ejpam-4619	11	26	-	-	PUNCT
ejpam-4619	11	27	kawaz	kawaz	PROPN
ejpam-4619	11	28	)	)	PUNCT
ejpam-4619	11	29	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4619	12	1	233	233	NUM
ejpam-4619	13	1	©	©	ADP
ejpam-4619	13	2	2023	2023	NUM
ejpam-4619	13	3	ejpam	ejpam	NOUN
ejpam-4619	13	4	all	all	DET
ejpam-4619	13	5	rights	right	NOUN
ejpam-4619	13	6	reserved	reserve	VERB
ejpam-4619	13	7	.	.	PUNCT
ejpam-4619	14	1	s.	s.	PROPN
ejpam-4619	14	2	mohammad	mohammad	PROPN
ejpam-4619	14	3	t.	t.	PROPN
ejpam-4619	14	4	,	,	PUNCT
ejpam-4619	14	5	h.	h.	PROPN
ejpam-4619	14	6	chilmeran	chilmeran	PROPN
ejpam-4619	14	7	,	,	PUNCT
ejpam-4619	14	8	r.	r.	PROPN
ejpam-4619	14	9	al	al	PROPN
ejpam-4619	14	10	-	-	PUNCT
ejpam-4619	14	11	kawaz	kawaz	PROPN
ejpam-4619	14	12	/	/	SYM
ejpam-4619	14	13	eur	eur	PROPN
ejpam-4619	14	14	.	.	PUNCT
ejpam-4619	15	1	j.	j.	PROPN
ejpam-4619	15	2	pure	pure	PROPN
ejpam-4619	15	3	appl	appl	PROPN
ejpam-4619	15	4	.	.	PROPN
ejpam-4619	15	5	math	math	PROPN
ejpam-4619	15	6	,	,	PUNCT
ejpam-4619	15	7	16	16	NUM
ejpam-4619	15	8	(	(	PUNCT
ejpam-4619	15	9	1	1	NUM
ejpam-4619	15	10	)	)	PUNCT
ejpam-4619	15	11	(	(	PUNCT
ejpam-4619	15	12	2023	2023	NUM
ejpam-4619	15	13	)	)	PUNCT
ejpam-4619	15	14	,	,	PUNCT
ejpam-4619	15	15	233	233	NUM
ejpam-4619	15	16	-	-	SYM
ejpam-4619	15	17	242	242	NUM
ejpam-4619	15	18	234	234	NUM
ejpam-4619	15	19	any	any	DET
ejpam-4619	15	20	matrix	matrix	NOUN
ejpam-4619	15	21	during	during	ADP
ejpam-4619	15	22	their	their	PRON
ejpam-4619	15	23	implementation	implementation	NOUN
ejpam-4619	15	24	.	.	PUNCT
ejpam-4619	16	1	an	an	DET
ejpam-4619	16	2	unconstrained	unconstrained	ADJ
ejpam-4619	16	3	optimization	optimization	NOUN
ejpam-4619	16	4	problem	problem	NOUN
ejpam-4619	16	5	known	know	VERB
ejpam-4619	16	6	as	as	ADP
ejpam-4619	16	7	minimizing	minimize	VERB
ejpam-4619	16	8	a	a	DET
ejpam-4619	16	9	function	function	NOUN
ejpam-4619	16	10	is	be	AUX
ejpam-4619	16	11	defined	define	VERB
ejpam-4619	16	12	as	as	ADP
ejpam-4619	16	13	:	:	PUNCT
ejpam-4619	16	14	minimizex∈rnf(x	minimizex∈rnf(x	PROPN
ejpam-4619	16	15	)	)	PUNCT
ejpam-4619	16	16	(	(	PUNCT
ejpam-4619	16	17	1	1	X
ejpam-4619	16	18	)	)	PUNCT
ejpam-4619	16	19	as	as	SCONJ
ejpam-4619	16	20	the	the	DET
ejpam-4619	16	21	function	function	NOUN
ejpam-4619	16	22	in	in	ADP
ejpam-4619	16	23	1	1	NUM
ejpam-4619	16	24	is	be	AUX
ejpam-4619	16	25	for	for	ADP
ejpam-4619	16	26	the	the	DET
ejpam-4619	16	27	real	real	ADJ
ejpam-4619	16	28	variable	variable	NOUN
ejpam-4619	16	29	,	,	PUNCT
ejpam-4619	16	30	which	which	PRON
ejpam-4619	16	31	can	can	AUX
ejpam-4619	16	32	use	use	VERB
ejpam-4619	16	33	iterative	iterative	NOUN
ejpam-4619	16	34	methods	method	NOUN
ejpam-4619	16	35	to	to	PART
ejpam-4619	16	36	solve	solve	VERB
ejpam-4619	16	37	it	it	PRON
ejpam-4619	16	38	,	,	PUNCT
ejpam-4619	16	39	such	such	ADJ
ejpam-4619	16	40	as	as	ADP
ejpam-4619	16	41	the	the	DET
ejpam-4619	16	42	conjugate	conjugate	ADJ
ejpam-4619	16	43	-	-	PUNCT
ejpam-4619	16	44	gradient	gradient	NOUN
ejpam-4619	16	45	method	method	NOUN
ejpam-4619	16	46	(	(	PUNCT
ejpam-4619	16	47	cg	cg	NOUN
ejpam-4619	16	48	)	)	PUNCT
ejpam-4619	16	49	or	or	CCONJ
ejpam-4619	16	50	newton	newton	PROPN
ejpam-4619	16	51	’s	’s	PART
ejpam-4619	16	52	methods	method	NOUN
ejpam-4619	16	53	or	or	CCONJ
ejpam-4619	16	54	quasi	quasi	NOUN
ejpam-4619	16	55	-	-	PROPN
ejpam-4619	16	56	newton	newton	PROPN
ejpam-4619	16	57	(	(	PUNCT
ejpam-4619	16	58	qn	qn	NOUN
ejpam-4619	16	59	)	)	PUNCT
ejpam-4619	16	60	,	,	PUNCT
ejpam-4619	16	61	which	which	PRON
ejpam-4619	16	62	use	use	VERB
ejpam-4619	16	63	the	the	DET
ejpam-4619	16	64	update	update	NOUN
ejpam-4619	16	65	new	new	ADJ
ejpam-4619	16	66	-	-	PUNCT
ejpam-4619	16	67	point	point	NOUN
ejpam-4619	16	68	through	through	ADP
ejpam-4619	16	69	:	:	PUNCT
ejpam-4619	16	70	xk+1	xk+1	PROPN
ejpam-4619	17	1	=	=	SYM
ejpam-4619	17	2	xk	xk	PROPN
ejpam-4619	18	1	+	+	CCONJ
ejpam-4619	18	2	τkpk	τkpk	PROPN
ejpam-4619	18	3	(	(	PUNCT
ejpam-4619	18	4	2	2	NUM
ejpam-4619	18	5	)	)	PUNCT
ejpam-4619	18	6	most	most	ADJ
ejpam-4619	18	7	of	of	ADP
ejpam-4619	18	8	the	the	DET
ejpam-4619	18	9	iterative	iterative	NOUN
ejpam-4619	18	10	methods	method	NOUN
ejpam-4619	18	11	focus	focus	VERB
ejpam-4619	18	12	on	on	ADP
ejpam-4619	18	13	the	the	DET
ejpam-4619	18	14	length	length	NOUN
ejpam-4619	18	15	of	of	ADP
ejpam-4619	18	16	the	the	DET
ejpam-4619	18	17	step	step	NOUN
ejpam-4619	18	18	τk	τk	SCONJ
ejpam-4619	18	19	specified	specify	VERB
ejpam-4619	18	20	for	for	ADP
ejpam-4619	18	21	the	the	DET
ejpam-4619	18	22	necessary	necessary	ADJ
ejpam-4619	18	23	distance	distance	NOUN
ejpam-4619	18	24	to	to	ADP
ejpam-4619	18	25	the	the	DET
ejpam-4619	18	26	search	search	NOUN
ejpam-4619	18	27	direction	direction	NOUN
ejpam-4619	18	28	pk+1	pk+1	NOUN
ejpam-4619	18	29	which	which	PRON
ejpam-4619	18	30	is	be	AUX
ejpam-4619	18	31	obtained	obtain	VERB
ejpam-4619	18	32	from	from	ADP
ejpam-4619	18	33	(	(	PUNCT
ejpam-4619	18	34	cg	cg	NOUN
ejpam-4619	18	35	)	)	PUNCT
ejpam-4619	18	36	i.e.	i.e.	ADV
ejpam-4619	18	37	:	:	PUNCT
ejpam-4619	18	38	pk+1	pk+1	X
ejpam-4619	18	39	=	=	SYM
ejpam-4619	18	40	−µk+1	−µk+1	NOUN
ejpam-4619	18	41	+	+	CCONJ
ejpam-4619	18	42	γkpk	γkpk	ADJ
ejpam-4619	18	43	(	(	PUNCT
ejpam-4619	18	44	3	3	NUM
ejpam-4619	18	45	)	)	PUNCT
ejpam-4619	18	46	where	where	SCONJ
ejpam-4619	18	47	µk+1	µk+1	ADV
ejpam-4619	18	48	=	=	SYM
ejpam-4619	18	49	∇f(xk+1	∇f(xk+1	ADJ
ejpam-4619	18	50	)	)	PUNCT
ejpam-4619	18	51	.	.	PUNCT
ejpam-4619	19	1	in	in	ADP
ejpam-4619	19	2	the	the	DET
ejpam-4619	19	3	past	past	ADJ
ejpam-4619	19	4	several	several	ADJ
ejpam-4619	19	5	decades	decade	NOUN
ejpam-4619	19	6	,	,	PUNCT
ejpam-4619	19	7	γk	γk	PROPN
ejpam-4619	19	8	has	have	AUX
ejpam-4619	19	9	been	be	AUX
ejpam-4619	19	10	defined	define	VERB
ejpam-4619	19	11	in	in	ADP
ejpam-4619	19	12	several	several	ADJ
ejpam-4619	19	13	scientific	scientific	ADJ
ejpam-4619	19	14	papers	paper	NOUN
ejpam-4619	19	15	such	such	ADJ
ejpam-4619	19	16	as	as	ADP
ejpam-4619	19	17	[	[	X
ejpam-4619	19	18	15	15	NUM
ejpam-4619	19	19	,	,	PUNCT
ejpam-4619	19	20	17	17	NUM
ejpam-4619	19	21	,	,	PUNCT
ejpam-4619	19	22	18	18	NUM
ejpam-4619	19	23	,	,	PUNCT
ejpam-4619	19	24	21	21	NUM
ejpam-4619	19	25	]	]	PUNCT
ejpam-4619	19	26	.	.	PUNCT
ejpam-4619	20	1	to	to	PART
ejpam-4619	20	2	ensure	ensure	VERB
ejpam-4619	20	3	the	the	DET
ejpam-4619	20	4	convergence	convergence	NOUN
ejpam-4619	20	5	and	and	CCONJ
ejpam-4619	20	6	descent	descent	NOUN
ejpam-4619	20	7	direction	direction	NOUN
ejpam-4619	20	8	of	of	ADP
ejpam-4619	20	9	this	this	DET
ejpam-4619	20	10	method	method	NOUN
ejpam-4619	20	11	when	when	SCONJ
ejpam-4619	20	12	solving	solve	VERB
ejpam-4619	20	13	different	different	ADJ
ejpam-4619	20	14	types	type	NOUN
ejpam-4619	20	15	of	of	ADP
ejpam-4619	20	16	general	general	ADJ
ejpam-4619	20	17	functions	function	NOUN
ejpam-4619	20	18	,	,	PUNCT
ejpam-4619	20	19	we	we	PRON
ejpam-4619	20	20	need	need	VERB
ejpam-4619	20	21	to	to	PART
ejpam-4619	20	22	calculate	calculate	VERB
ejpam-4619	20	23	the	the	DET
ejpam-4619	20	24	step	step	NOUN
ejpam-4619	20	25	length	length	NOUN
ejpam-4619	20	26	with	with	ADP
ejpam-4619	20	27	one	one	NUM
ejpam-4619	20	28	of	of	ADP
ejpam-4619	20	29	the	the	DET
ejpam-4619	20	30	inexact	inexact	ADJ
ejpam-4619	20	31	lines	line	NOUN
ejpam-4619	20	32	search	search	VERB
ejpam-4619	20	33	such	such	ADJ
ejpam-4619	20	34	as	as	ADP
ejpam-4619	20	35	the	the	DET
ejpam-4619	20	36	wolfe	wolfe	PROPN
ejpam-4619	20	37	line	line	PROPN
ejpam-4619	20	38	search	search	PROPN
ejpam-4619	20	39	(	(	PUNCT
ejpam-4619	20	40	wls	wl	NOUN
ejpam-4619	20	41	)	)	PUNCT
ejpam-4619	20	42	,	,	PUNCT
ejpam-4619	20	43	from	from	ADP
ejpam-4619	20	44	which	which	PRON
ejpam-4619	20	45	two	two	NUM
ejpam-4619	20	46	main	main	ADJ
ejpam-4619	20	47	types	type	NOUN
ejpam-4619	20	48	emerge	emerge	VERB
ejpam-4619	20	49	:	:	PUNCT
ejpam-4619	20	50	(	(	PUNCT
ejpam-4619	20	51	i	i	NOUN
ejpam-4619	20	52	)	)	PUNCT
ejpam-4619	20	53	weak	weak	ADJ
ejpam-4619	20	54	type	type	NOUN
ejpam-4619	20	55	called	call	VERB
ejpam-4619	20	56	wolfe	wolfe	PROPN
ejpam-4619	20	57	’s	’s	PART
ejpam-4619	20	58	weak	weak	ADJ
ejpam-4619	20	59	line	line	NOUN
ejpam-4619	20	60	search	search	NOUN
ejpam-4619	20	61	(	(	PUNCT
ejpam-4619	20	62	wwls	wwl	NOUN
ejpam-4619	20	63	)	)	PUNCT
ejpam-4619	20	64	and	and	CCONJ
ejpam-4619	20	65	it	it	PRON
ejpam-4619	20	66	defines	define	VERB
ejpam-4619	20	67	:	:	PUNCT
ejpam-4619	20	68	fk+1	fk+1	NUM
ejpam-4619	20	69	−	−	PROPN
ejpam-4619	20	70	fk	fk	INTJ
ejpam-4619	20	71	≤	≤	NOUN
ejpam-4619	20	72	δτkµk	δτkµk	ADV
ejpam-4619	20	73	t	t	PROPN
ejpam-4619	20	74	pk	pk	X
ejpam-4619	20	75	(	(	PUNCT
ejpam-4619	20	76	4	4	NUM
ejpam-4619	20	77	)	)	PUNCT
ejpam-4619	20	78	µk+1	µk+1	NUM
ejpam-4619	20	79	t	t	PROPN
ejpam-4619	20	80	pk	pk	PROPN
ejpam-4619	20	81	≥	≥	PROPN
ejpam-4619	20	82	σµk	σµk	PROPN
ejpam-4619	20	83	t	t	PROPN
ejpam-4619	20	84	pk	pk	PROPN
ejpam-4619	20	85	(	(	PUNCT
ejpam-4619	20	86	5	5	NUM
ejpam-4619	20	87	)	)	PUNCT
ejpam-4619	20	88	(	(	PUNCT
ejpam-4619	20	89	ii	ii	NOUN
ejpam-4619	20	90	)	)	PUNCT
ejpam-4619	20	91	a	a	DET
ejpam-4619	20	92	strong	strong	ADJ
ejpam-4619	20	93	type	type	NOUN
ejpam-4619	20	94	is	be	AUX
ejpam-4619	20	95	called	call	VERB
ejpam-4619	20	96	wolfe	wolfe	PROPN
ejpam-4619	20	97	’s	’s	PART
ejpam-4619	20	98	strong	strong	ADJ
ejpam-4619	20	99	line	line	NOUN
ejpam-4619	20	100	search	search	NOUN
ejpam-4619	20	101	(	(	PUNCT
ejpam-4619	20	102	wsls	wsls	NOUN
ejpam-4619	20	103	)	)	PUNCT
ejpam-4619	20	104	and	and	CCONJ
ejpam-4619	20	105	it	it	PRON
ejpam-4619	20	106	defines	define	VERB
ejpam-4619	20	107	as	as	ADP
ejpam-4619	20	108	:	:	PUNCT
ejpam-4619	20	109	fk+1	fk+1	NUM
ejpam-4619	20	110	−	−	PROPN
ejpam-4619	20	111	fk	fk	INTJ
ejpam-4619	20	112	≤	≤	NOUN
ejpam-4619	20	113	δτkµk	δτkµk	ADV
ejpam-4619	20	114	t	t	PROPN
ejpam-4619	20	115	pk	pk	X
ejpam-4619	20	116	(	(	PUNCT
ejpam-4619	20	117	6	6	NUM
ejpam-4619	20	118	)	)	PUNCT
ejpam-4619	20	119	|µk+1	|µk+1	NOUN
ejpam-4619	20	120	t	t	NOUN
ejpam-4619	20	121	pk|	pk|	NOUN
ejpam-4619	20	122	≤	≤	NUM
ejpam-4619	20	123	−σµk	−σµk	NOUN
ejpam-4619	20	124	t	t	PROPN
ejpam-4619	20	125	pk	pk	PROPN
ejpam-4619	20	126	(	(	PUNCT
ejpam-4619	20	127	7	7	NUM
ejpam-4619	20	128	)	)	PUNCT
ejpam-4619	20	129	where	where	SCONJ
ejpam-4619	20	130	0	0	NUM
ejpam-4619	20	131	<	<	X
ejpam-4619	20	132	δ	δ	X
ejpam-4619	20	133	<	<	X
ejpam-4619	20	134	σ	σ	X
ejpam-4619	20	135	<	<	X
ejpam-4619	20	136	1	1	NUM
ejpam-4619	20	137	.	.	PUNCT
ejpam-4619	21	1	this	this	PRON
ejpam-4619	21	2	is	be	AUX
ejpam-4619	21	3	now	now	ADV
ejpam-4619	21	4	a	a	DET
ejpam-4619	21	5	very	very	ADV
ejpam-4619	21	6	mature	mature	ADJ
ejpam-4619	21	7	field	field	NOUN
ejpam-4619	21	8	to	to	PART
ejpam-4619	21	9	be	be	AUX
ejpam-4619	21	10	now	now	ADV
ejpam-4619	21	11	converted	convert	VERB
ejpam-4619	21	12	into	into	ADP
ejpam-4619	21	13	many	many	ADJ
ejpam-4619	21	14	updated	update	VERB
ejpam-4619	21	15	and	and	CCONJ
ejpam-4619	21	16	expanded	expand	VERB
ejpam-4619	21	17	formats	format	NOUN
ejpam-4619	21	18	and	and	CCONJ
ejpam-4619	21	19	with	with	ADP
ejpam-4619	21	20	different	different	ADJ
ejpam-4619	21	21	applications	application	NOUN
ejpam-4619	21	22	as	as	ADP
ejpam-4619	21	23	in	in	ADP
ejpam-4619	21	24	[	[	X
ejpam-4619	21	25	1–3	1–3	NOUN
ejpam-4619	21	26	,	,	PUNCT
ejpam-4619	21	27	8	8	NUM
ejpam-4619	21	28	,	,	PUNCT
ejpam-4619	21	29	11–14	11–14	NUM
ejpam-4619	21	30	,	,	PUNCT
ejpam-4619	21	31	19	19	NUM
ejpam-4619	21	32	]	]	PUNCT
ejpam-4619	21	33	.	.	PUNCT
ejpam-4619	22	1	later	later	ADV
ejpam-4619	22	2	,	,	PUNCT
ejpam-4619	22	3	the	the	DET
ejpam-4619	22	4	field	field	NOUN
ejpam-4619	22	5	of	of	ADP
ejpam-4619	22	6	application	application	NOUN
ejpam-4619	22	7	gradually	gradually	ADV
ejpam-4619	22	8	expanded	expand	VERB
ejpam-4619	22	9	to	to	PART
ejpam-4619	22	10	include	include	VERB
ejpam-4619	22	11	conjugate	conjugate	ADJ
ejpam-4619	22	12	gradient	gradient	ADJ
ejpam-4619	22	13	directions	direction	NOUN
ejpam-4619	22	14	for	for	ADP
ejpam-4619	22	15	solving	solve	VERB
ejpam-4619	22	16	non	non	ADJ
ejpam-4619	22	17	-	-	ADJ
ejpam-4619	22	18	linear	linear	ADJ
ejpam-4619	22	19	systems	system	NOUN
ejpam-4619	22	20	as	as	ADP
ejpam-4619	22	21	in	in	ADP
ejpam-4619	22	22	[	[	X
ejpam-4619	22	23	5–7	5–7	NOUN
ejpam-4619	22	24	]	]	X
ejpam-4619	22	25	.	.	PUNCT
ejpam-4619	23	1	2	2	X
ejpam-4619	23	2	.	.	X
ejpam-4619	23	3	a	a	DET
ejpam-4619	23	4	new	new	ADJ
ejpam-4619	23	5	parameter	parameter	NOUN
ejpam-4619	23	6	for	for	ADP
ejpam-4619	23	7	γk	γk	NOUN
ejpam-4619	23	8	in	in	ADP
ejpam-4619	23	9	this	this	DET
ejpam-4619	23	10	experiment	experiment	NOUN
ejpam-4619	23	11	,	,	PUNCT
ejpam-4619	23	12	we	we	PRON
ejpam-4619	23	13	introduce	introduce	VERB
ejpam-4619	23	14	a	a	DET
ejpam-4619	23	15	new	new	ADJ
ejpam-4619	23	16	parameter	parameter	NOUN
ejpam-4619	23	17	,	,	PUNCT
ejpam-4619	23	18	γk	γk	NOUN
ejpam-4619	23	19	,	,	PUNCT
ejpam-4619	23	20	to	to	PART
ejpam-4619	23	21	improve	improve	VERB
ejpam-4619	23	22	the	the	DET
ejpam-4619	23	23	cg	cg	NOUN
ejpam-4619	23	24	orientation	orientation	NOUN
ejpam-4619	23	25	based	base	VERB
ejpam-4619	23	26	on	on	ADP
ejpam-4619	23	27	a	a	DET
ejpam-4619	23	28	quasi	quasi	ADJ
ejpam-4619	23	29	-	-	ADJ
ejpam-4619	23	30	newton	newton	PROPN
ejpam-4619	23	31	update	update	NOUN
ejpam-4619	23	32	of	of	ADP
ejpam-4619	23	33	matrix	matrix	NOUN
ejpam-4619	23	34	approximation	approximation	NOUN
ejpam-4619	23	35	ak	ak	PROPN
ejpam-4619	23	36	known	know	VERB
ejpam-4619	23	37	as	as	ADP
ejpam-4619	23	38	a	a	DET
ejpam-4619	23	39	modified	modify	VERB
ejpam-4619	23	40	(	(	PUNCT
ejpam-4619	23	41	dfpqn	dfpqn	PROPN
ejpam-4619	23	42	)	)	PUNCT
ejpam-4619	23	43	consisting	consist	VERB
ejpam-4619	23	44	of	of	ADP
ejpam-4619	23	45	:	:	PUNCT
ejpam-4619	23	46	ak+1	ak+1	X
ejpam-4619	23	47	=	=	SYM
ejpam-4619	23	48	ak	ak	PROPN
ejpam-4619	23	49	−	−	PROPN
ejpam-4619	23	50	akωkω	akωkω	PROPN
ejpam-4619	23	51	t	t	PROPN
ejpam-4619	23	52	k	k	PROPN
ejpam-4619	23	53	ak	ak	PROPN
ejpam-4619	23	54	ωt	ωt	PROPN
ejpam-4619	23	55	k	k	PROPN
ejpam-4619	23	56	akωk	akωk	NOUN
ejpam-4619	23	57	+	+	CCONJ
ejpam-4619	23	58	sks	sks	PROPN
ejpam-4619	23	59	t	t	PROPN
ejpam-4619	23	60	k	k	PROPN
ejpam-4619	23	61	stk	stk	PROPN
ejpam-4619	23	62	ωk	ωk	ADP
ejpam-4619	23	63	(	(	PUNCT
ejpam-4619	23	64	8)	8)	NUM
ejpam-4619	23	65	s.	s.	PROPN
ejpam-4619	23	66	mohammad	mohammad	PROPN
ejpam-4619	23	67	t.	t.	PROPN
ejpam-4619	23	68	,	,	PUNCT
ejpam-4619	23	69	h.	h.	PROPN
ejpam-4619	23	70	chilmeran	chilmeran	PROPN
ejpam-4619	23	71	,	,	PUNCT
ejpam-4619	23	72	r.	r.	PROPN
ejpam-4619	23	73	al	al	PROPN
ejpam-4619	23	74	-	-	PUNCT
ejpam-4619	23	75	kawaz	kawaz	PROPN
ejpam-4619	23	76	/	/	SYM
ejpam-4619	23	77	eur	eur	PROPN
ejpam-4619	23	78	.	.	PUNCT
ejpam-4619	24	1	j.	j.	PROPN
ejpam-4619	24	2	pure	pure	PROPN
ejpam-4619	24	3	appl	appl	PROPN
ejpam-4619	24	4	.	.	PROPN
ejpam-4619	24	5	math	math	PROPN
ejpam-4619	24	6	,	,	PUNCT
ejpam-4619	24	7	16	16	NUM
ejpam-4619	24	8	(	(	PUNCT
ejpam-4619	24	9	1	1	NUM
ejpam-4619	24	10	)	)	PUNCT
ejpam-4619	24	11	(	(	PUNCT
ejpam-4619	24	12	2023	2023	NUM
ejpam-4619	24	13	)	)	PUNCT
ejpam-4619	24	14	,	,	PUNCT
ejpam-4619	24	15	233	233	NUM
ejpam-4619	24	16	-	-	SYM
ejpam-4619	24	17	242	242	NUM
ejpam-4619	24	18	235	235	NUM
ejpam-4619	24	19	where	where	SCONJ
ejpam-4619	24	20	sk	sk	VERB
ejpam-4619	24	21	=	=	SYM
ejpam-4619	24	22	xk+1	xk+1	PROPN
ejpam-4619	24	23	−	−	PROPN
ejpam-4619	24	24	xk	xk	PROPN
ejpam-4619	24	25	,	,	PUNCT
ejpam-4619	24	26	yk	yk	PROPN
ejpam-4619	24	27	=	=	PUNCT
ejpam-4619	24	28	µk+1	µk+1	VERB
ejpam-4619	24	29	−	−	NOUN
ejpam-4619	24	30	µk	µk	NOUN
ejpam-4619	24	31	and	and	CCONJ
ejpam-4619	24	32	ωk	ωk	ADP
ejpam-4619	24	33	=	=	PROPN
ejpam-4619	24	34	yk	yk	PROPN
ejpam-4619	25	1	+	+	CCONJ
ejpam-4619	25	2	ρk	ρk	PROPN
ejpam-4619	25	3	∥sk∥2	∥sk∥2	PROPN
ejpam-4619	25	4	sk	sk	PROPN
ejpam-4619	25	5	(	(	PUNCT
ejpam-4619	25	6	9	9	NUM
ejpam-4619	25	7	)	)	PUNCT
ejpam-4619	25	8	ρk	ρk	NOUN
ejpam-4619	25	9	=	=	NOUN
ejpam-4619	25	10	2[fk	2[fk	NUM
ejpam-4619	25	11	−	−	NUM
ejpam-4619	25	12	fk+1	fk+1	NOUN
ejpam-4619	25	13	]	]	X
ejpam-4619	25	14	+	+	CCONJ
ejpam-4619	25	15	(	(	PUNCT
ejpam-4619	25	16	µk+1	µk+1	NUM
ejpam-4619	25	17	+	+	CCONJ
ejpam-4619	25	18	µk	µk	X
ejpam-4619	25	19	)	)	PUNCT
ejpam-4619	25	20	t	t	NOUN
ejpam-4619	25	21	sk	sk	NOUN
ejpam-4619	25	22	(	(	PUNCT
ejpam-4619	25	23	10	10	NUM
ejpam-4619	25	24	)	)	PUNCT
ejpam-4619	25	25	to	to	PART
ejpam-4619	25	26	learn	learn	VERB
ejpam-4619	25	27	more	more	ADJ
ejpam-4619	25	28	about	about	ADP
ejpam-4619	25	29	equations	equation	NOUN
ejpam-4619	25	30	(	(	PUNCT
ejpam-4619	25	31	9	9	NUM
ejpam-4619	25	32	)	)	PUNCT
ejpam-4619	25	33	and	and	CCONJ
ejpam-4619	25	34	(	(	PUNCT
ejpam-4619	25	35	10	10	NUM
ejpam-4619	25	36	)	)	PUNCT
ejpam-4619	25	37	you	you	PRON
ejpam-4619	25	38	can	can	AUX
ejpam-4619	25	39	see	see	VERB
ejpam-4619	25	40	[	[	X
ejpam-4619	25	41	22	22	NUM
ejpam-4619	25	42	]	]	PUNCT
ejpam-4619	25	43	.	.	PUNCT
ejpam-4619	26	1	we	we	PRON
ejpam-4619	26	2	suggest	suggest	VERB
ejpam-4619	26	3	multiplying	multiply	VERB
ejpam-4619	26	4	the	the	DET
ejpam-4619	26	5	updated	update	VERB
ejpam-4619	26	6	dfb	dfb	PROPN
ejpam-4619	26	7	matrix	matrix	NOUN
ejpam-4619	26	8	by	by	ADP
ejpam-4619	26	9	self	self	NOUN
ejpam-4619	26	10	-	-	PUNCT
ejpam-4619	26	11	scaling	scale	VERB
ejpam-4619	26	12	ηk+1	ηk+1	NOUN
ejpam-4619	26	13	=	=	SYM
ejpam-4619	26	14	ytk	ytk	NUM
ejpam-4619	26	15	sk	sk	INTJ
ejpam-4619	27	1	µt	µt	PROPN
ejpam-4619	27	2	k	k	PROPN
ejpam-4619	27	3	akµk	akµk	NOUN
ejpam-4619	27	4	which	which	PRON
ejpam-4619	27	5	is	be	AUX
ejpam-4619	27	6	defined	define	VERB
ejpam-4619	27	7	in	in	ADP
ejpam-4619	27	8	[	[	X
ejpam-4619	27	9	4	4	NUM
ejpam-4619	27	10	]	]	PUNCT
ejpam-4619	27	11	to	to	PART
ejpam-4619	27	12	get	get	VERB
ejpam-4619	27	13	:	:	PUNCT
ejpam-4619	27	14	ak+1	ak+1	VERB
ejpam-4619	27	15	=	=	SYM
ejpam-4619	27	16	ytk	ytk	NUM
ejpam-4619	27	17	sk	sk	INTJ
ejpam-4619	27	18	µt	µt	PRON
ejpam-4619	27	19	kakµk	kakµk	PROPN
ejpam-4619	27	20	(	(	PUNCT
ejpam-4619	27	21	ak	ak	PROPN
ejpam-4619	27	22	−	−	PROPN
ejpam-4619	27	23	akωkω	akωkω	PROPN
ejpam-4619	27	24	t	t	PROPN
ejpam-4619	27	25	k	k	PROPN
ejpam-4619	27	26	ak	ak	PROPN
ejpam-4619	27	27	ωt	ωt	PROPN
ejpam-4619	27	28	k	k	PROPN
ejpam-4619	27	29	akωk	akωk	NOUN
ejpam-4619	27	30	+	+	CCONJ
ejpam-4619	27	31	sks	sks	PROPN
ejpam-4619	27	32	t	t	PROPN
ejpam-4619	27	33	k	k	PROPN
ejpam-4619	27	34	stk	stk	PROPN
ejpam-4619	27	35	ωk	ωk	ADP
ejpam-4619	27	36	)	)	PUNCT
ejpam-4619	27	37	(	(	PUNCT
ejpam-4619	27	38	11	11	NUM
ejpam-4619	27	39	)	)	PUNCT
ejpam-4619	27	40	also	also	ADV
ejpam-4619	27	41	,	,	PUNCT
ejpam-4619	27	42	replace	replace	VERB
ejpam-4619	27	43	yk	yk	PROPN
ejpam-4619	27	44	in	in	ADP
ejpam-4619	27	45	the	the	DET
ejpam-4619	27	46	ηk+1	ηk+1	NOUN
ejpam-4619	27	47	formula	formula	NOUN
ejpam-4619	27	48	to	to	ADP
ejpam-4619	27	49	the	the	DET
ejpam-4619	27	50	ωk	ωk	NOUN
ejpam-4619	27	51	.	.	PUNCT
ejpam-4619	28	1	as	as	ADP
ejpam-4619	28	2	for	for	ADP
ejpam-4619	28	3	the	the	DET
ejpam-4619	28	4	search	search	NOUN
ejpam-4619	28	5	direction	direction	NOUN
ejpam-4619	28	6	for	for	ADP
ejpam-4619	28	7	a	a	DET
ejpam-4619	28	8	method	method	NOUN
ejpam-4619	28	9	qn	qn	NOUN
ejpam-4619	28	10	,	,	PUNCT
ejpam-4619	28	11	it	it	PRON
ejpam-4619	28	12	is	be	AUX
ejpam-4619	28	13	:	:	PUNCT
ejpam-4619	28	14	pk+1	pk+1	NUM
ejpam-4619	28	15	=	=	SYM
ejpam-4619	28	16	−ak+1µk+1	−ak+1µk+1	X
ejpam-4619	28	17	(	(	PUNCT
ejpam-4619	28	18	12	12	NUM
ejpam-4619	28	19	)	)	PUNCT
ejpam-4619	28	20	now	now	ADV
ejpam-4619	28	21	we	we	PRON
ejpam-4619	28	22	substitute	substitute	VERB
ejpam-4619	28	23	equation	equation	NOUN
ejpam-4619	28	24	(	(	PUNCT
ejpam-4619	28	25	11	11	NUM
ejpam-4619	28	26	)	)	PUNCT
ejpam-4619	28	27	into	into	ADP
ejpam-4619	28	28	the	the	DET
ejpam-4619	28	29	equation	equation	NOUN
ejpam-4619	28	30	(	(	PUNCT
ejpam-4619	28	31	12	12	NUM
ejpam-4619	28	32	)	)	PUNCT
ejpam-4619	28	33	,	,	PUNCT
ejpam-4619	28	34	that	that	PRON
ejpam-4619	28	35	is	be	AUX
ejpam-4619	28	36	:	:	PUNCT
ejpam-4619	28	37	pk+1	pk+1	NUM
ejpam-4619	28	38	=	=	SYM
ejpam-4619	29	1	−	−	PROPN
ejpam-4619	30	1	(	(	PUNCT
ejpam-4619	30	2	ωt	ωt	INTJ
ejpam-4619	30	3	k	k	INTJ
ejpam-4619	30	4	sk	sk	INTJ
ejpam-4619	30	5	µt	µt	PROPN
ejpam-4619	30	6	kakµk	kakµk	PROPN
ejpam-4619	30	7	(	(	PUNCT
ejpam-4619	30	8	ak	ak	PROPN
ejpam-4619	30	9	−	−	PROPN
ejpam-4619	30	10	akωkω	akωkω	PROPN
ejpam-4619	30	11	t	t	PROPN
ejpam-4619	30	12	k	k	PROPN
ejpam-4619	30	13	ak	ak	PROPN
ejpam-4619	30	14	ωt	ωt	PROPN
ejpam-4619	30	15	k	k	PROPN
ejpam-4619	30	16	akωk	akωk	NOUN
ejpam-4619	30	17	+	+	CCONJ
ejpam-4619	30	18	sks	sks	PROPN
ejpam-4619	30	19	t	t	PROPN
ejpam-4619	30	20	k	k	PROPN
ejpam-4619	30	21	stk	stk	PROPN
ejpam-4619	30	22	ωk	ωk	ADP
ejpam-4619	30	23	)	)	PUNCT
ejpam-4619	30	24	)	)	PUNCT
ejpam-4619	31	1	µk+1	µk+1	X
ejpam-4619	31	2	(	(	PUNCT
ejpam-4619	31	3	13	13	NUM
ejpam-4619	31	4	)	)	PUNCT
ejpam-4619	31	5	then	then	ADV
ejpam-4619	31	6	we	we	PRON
ejpam-4619	31	7	make	make	VERB
ejpam-4619	31	8	the	the	DET
ejpam-4619	31	9	search	search	NOUN
ejpam-4619	31	10	direction	direction	NOUN
ejpam-4619	31	11	memoryless	memoryless	NOUN
ejpam-4619	31	12	,	,	PUNCT
ejpam-4619	31	13	i.e.	i.e.	X
ejpam-4619	31	14	by	by	ADP
ejpam-4619	31	15	replacing	replace	VERB
ejpam-4619	31	16	each	each	DET
ejpam-4619	31	17	ak	ak	PROPN
ejpam-4619	32	1	=	=	SYM
ejpam-4619	33	1	i	i	PROPN
ejpam-4619	33	2	,	,	PUNCT
ejpam-4619	33	3	we	we	PRON
ejpam-4619	33	4	get	get	VERB
ejpam-4619	33	5	:	:	PUNCT
ejpam-4619	33	6	pk+1	pk+1	NUM
ejpam-4619	33	7	=	=	SYM
ejpam-4619	33	8	−	−	PROPN
ejpam-4619	33	9	ωt	ωt	INTJ
ejpam-4619	33	10	k	k	PROPN
ejpam-4619	33	11	sk	sk	PROPN
ejpam-4619	34	1	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	35	1	(	(	PUNCT
ejpam-4619	35	2	µk+1	µk+1	ADP
ejpam-4619	35	3	−	−	PROPN
ejpam-4619	35	4	ωt	ωt	ADP
ejpam-4619	35	5	k	k	PROPN
ejpam-4619	35	6	µk+1	µk+1	ADP
ejpam-4619	35	7	∥ωk∥2	∥ωk∥2	PROPN
ejpam-4619	35	8	ωk	ωk	ADP
ejpam-4619	35	9	+	+	CCONJ
ejpam-4619	36	1	stk	stk	PROPN
ejpam-4619	36	2	µk+1	µk+1	VERB
ejpam-4619	36	3	stk	stk	PROPN
ejpam-4619	36	4	ωk	ωk	ADP
ejpam-4619	36	5	sk	sk	INTJ
ejpam-4619	36	6	)	)	PUNCT
ejpam-4619	36	7	(	(	PUNCT
ejpam-4619	36	8	14	14	NUM
ejpam-4619	36	9	)	)	PUNCT
ejpam-4619	36	10	to	to	PART
ejpam-4619	36	11	increase	increase	VERB
ejpam-4619	36	12	the	the	DET
ejpam-4619	36	13	efficiency	efficiency	NOUN
ejpam-4619	36	14	of	of	ADP
ejpam-4619	36	15	the	the	DET
ejpam-4619	36	16	search	search	NOUN
ejpam-4619	36	17	direction	direction	NOUN
ejpam-4619	36	18	for	for	ADP
ejpam-4619	36	19	cg	cg	NOUN
ejpam-4619	36	20	methods	method	NOUN
ejpam-4619	36	21	,	,	PUNCT
ejpam-4619	36	22	we	we	PRON
ejpam-4619	36	23	equate	equate	VERB
ejpam-4619	36	24	it	it	PRON
ejpam-4619	36	25	with	with	ADP
ejpam-4619	36	26	the	the	DET
ejpam-4619	36	27	new	new	ADJ
ejpam-4619	36	28	search	search	NOUN
ejpam-4619	36	29	direction	direction	NOUN
ejpam-4619	36	30	for	for	ADP
ejpam-4619	36	31	qn	qn	NOUN
ejpam-4619	36	32	methods	method	NOUN
ejpam-4619	36	33	,	,	PUNCT
ejpam-4619	36	34	and	and	CCONJ
ejpam-4619	36	35	we	we	PRON
ejpam-4619	36	36	deduce	deduce	VERB
ejpam-4619	36	37	from	from	ADP
ejpam-4619	36	38	the	the	DET
ejpam-4619	36	39	equation	equation	NOUN
ejpam-4619	36	40	a	a	DET
ejpam-4619	36	41	new	new	ADJ
ejpam-4619	36	42	γk	γk	PROPN
ejpam-4619	36	43	parameter	parameter	NOUN
ejpam-4619	36	44	as	as	ADP
ejpam-4619	36	45	in	in	ADP
ejpam-4619	36	46	the	the	DET
ejpam-4619	36	47	following	follow	VERB
ejpam-4619	36	48	steps	step	NOUN
ejpam-4619	36	49	:	:	PUNCT
ejpam-4619	36	50	−µk+1	−µk+1	NOUN
ejpam-4619	36	51	+	+	CCONJ
ejpam-4619	36	52	γksk	γksk	NOUN
ejpam-4619	36	53	=	=	SYM
ejpam-4619	36	54	−	−	PROPN
ejpam-4619	37	1	ωt	ωt	INTJ
ejpam-4619	37	2	k	k	PROPN
ejpam-4619	37	3	sk	sk	PROPN
ejpam-4619	37	4	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	38	1	(	(	PUNCT
ejpam-4619	38	2	µk+1	µk+1	ADP
ejpam-4619	38	3	−	−	PROPN
ejpam-4619	38	4	ωt	ωt	ADP
ejpam-4619	38	5	k	k	PROPN
ejpam-4619	38	6	µk+1	µk+1	ADP
ejpam-4619	38	7	∥ωk∥2	∥ωk∥2	PROPN
ejpam-4619	38	8	ωk	ωk	ADP
ejpam-4619	38	9	+	+	CCONJ
ejpam-4619	39	1	stk	stk	PROPN
ejpam-4619	39	2	µk+1	µk+1	VERB
ejpam-4619	39	3	stk	stk	PROPN
ejpam-4619	39	4	ωk	ωk	ADP
ejpam-4619	39	5	sk	sk	INTJ
ejpam-4619	39	6	)	)	PUNCT
ejpam-4619	39	7	(	(	PUNCT
ejpam-4619	39	8	15	15	X
ejpam-4619	39	9	)	)	PUNCT
ejpam-4619	39	10	we	we	PRON
ejpam-4619	39	11	multiply	multiply	VERB
ejpam-4619	39	12	both	both	DET
ejpam-4619	39	13	sides	side	NOUN
ejpam-4619	39	14	of	of	ADP
ejpam-4619	39	15	the	the	DET
ejpam-4619	39	16	equation	equation	NOUN
ejpam-4619	39	17	(	(	PUNCT
ejpam-4619	39	18	15	15	NUM
ejpam-4619	39	19	)	)	PUNCT
ejpam-4619	39	20	by	by	ADP
ejpam-4619	39	21	ωk	ωk	PART
ejpam-4619	39	22	to	to	PART
ejpam-4619	39	23	get	get	VERB
ejpam-4619	39	24	:	:	PUNCT
ejpam-4619	39	25	−ωt	−ωt	NOUN
ejpam-4619	39	26	k	k	X
ejpam-4619	39	27	µk+1	µk+1	ADP
ejpam-4619	39	28	+	+	CCONJ
ejpam-4619	39	29	γkω	γkω	PROPN
ejpam-4619	39	30	t	t	PROPN
ejpam-4619	39	31	k	k	NOUN
ejpam-4619	39	32	sk	sk	PROPN
ejpam-4619	39	33	=	=	SYM
ejpam-4619	39	34	−	−	PROPN
ejpam-4619	39	35	ωt	ωt	INTJ
ejpam-4619	39	36	k	k	PROPN
ejpam-4619	39	37	sk	sk	VERB
ejpam-4619	39	38	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	39	39	ωt	ωt	ADP
ejpam-4619	39	40	k	k	PROPN
ejpam-4619	39	41	µk+1	µk+1	X
ejpam-4619	40	1	+	+	CCONJ
ejpam-4619	40	2	ωt	ωt	PART
ejpam-4619	40	3	k	k	PROPN
ejpam-4619	40	4	sk	sk	X
ejpam-4619	40	5	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	40	6	ωt	ωt	ADP
ejpam-4619	40	7	k	k	PROPN
ejpam-4619	40	8	µk+1	µk+1	PROPN
ejpam-4619	40	9	∥ωk∥2	∥ωk∥2	PROPN
ejpam-4619	40	10	ωt	ωt	PROPN
ejpam-4619	40	11	k	k	PROPN
ejpam-4619	40	12	ωk	ωk	ADP
ejpam-4619	40	13	−	−	PROPN
ejpam-4619	41	1	ωt	ωt	INTJ
ejpam-4619	41	2	k	k	PROPN
ejpam-4619	41	3	sk	sk	PROPN
ejpam-4619	41	4	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	41	5	stk	stk	PROPN
ejpam-4619	41	6	µk+1	µk+1	VERB
ejpam-4619	41	7	stk	stk	PROPN
ejpam-4619	41	8	ωk	ωk	ADP
ejpam-4619	41	9	ωt	ωt	ADP
ejpam-4619	41	10	k	k	PROPN
ejpam-4619	41	11	sk	sk	INTJ
ejpam-4619	41	12	(	(	PUNCT
ejpam-4619	41	13	16	16	NUM
ejpam-4619	41	14	)	)	PUNCT
ejpam-4619	41	15	by	by	ADP
ejpam-4619	41	16	simplifying	simplify	VERB
ejpam-4619	41	17	equation	equation	NOUN
ejpam-4619	41	18	(	(	PUNCT
ejpam-4619	41	19	16	16	NUM
ejpam-4619	41	20	):	):	PUNCT
ejpam-4619	41	21	γk	γk	NOUN
ejpam-4619	41	22	=	=	SYM
ejpam-4619	41	23	ωt	ωt	PROPN
ejpam-4619	41	24	k	k	PROPN
ejpam-4619	41	25	µk+1	µk+1	NUM
ejpam-4619	41	26	ωt	ωt	PART
ejpam-4619	41	27	k	k	PROPN
ejpam-4619	41	28	sk	sk	ADP
ejpam-4619	41	29	−	−	PROPN
ejpam-4619	41	30	ωt	ωt	INTJ
ejpam-4619	41	31	k	k	PROPN
ejpam-4619	41	32	sk	sk	PROPN
ejpam-4619	41	33	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	41	34	ωt	ωt	ADP
ejpam-4619	41	35	k	k	PROPN
ejpam-4619	41	36	µk+1	µk+1	NUM
ejpam-4619	41	37	ωt	ωt	PART
ejpam-4619	41	38	k	k	PROPN
ejpam-4619	41	39	sk	sk	PROPN
ejpam-4619	42	1	+	+	X
ejpam-4619	42	2	ωt	ωt	PART
ejpam-4619	42	3	k	k	PROPN
ejpam-4619	42	4	sk	sk	X
ejpam-4619	42	5	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	42	6	ωt	ωt	ADP
ejpam-4619	42	7	k	k	PROPN
ejpam-4619	42	8	µk+1	µk+1	PROPN
ejpam-4619	42	9	∥ωk∥2	∥ωk∥2	PROPN
ejpam-4619	42	10	∥ωk∥2	∥ωk∥2	PROPN
ejpam-4619	43	1	ωt	ωt	AUX
ejpam-4619	43	2	k	k	PROPN
ejpam-4619	43	3	sk	sk	VERB
ejpam-4619	43	4	−	−	PROPN
ejpam-4619	44	1	ωt	ωt	INTJ
ejpam-4619	44	2	k	k	PROPN
ejpam-4619	44	3	sk	sk	PROPN
ejpam-4619	44	4	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	44	5	stk	stk	PROPN
ejpam-4619	44	6	µk+1	µk+1	VERB
ejpam-4619	44	7	stk	stk	PROPN
ejpam-4619	44	8	ωk	ωk	ADP
ejpam-4619	44	9	ωt	ωt	ADV
ejpam-4619	44	10	k	k	INTJ
ejpam-4619	44	11	sk	sk	INTJ
ejpam-4619	44	12	ωt	ωt	INTJ
ejpam-4619	44	13	k	k	PROPN
ejpam-4619	44	14	sk	sk	INTJ
ejpam-4619	44	15	(	(	PUNCT
ejpam-4619	44	16	17	17	NUM
ejpam-4619	44	17	)	)	PUNCT
ejpam-4619	44	18	then	then	ADV
ejpam-4619	44	19	γshr	γshr	NOUN
ejpam-4619	44	20	k	k	PROPN
ejpam-4619	45	1	=	=	PUNCT
ejpam-4619	45	2	ωt	ωt	ADP
ejpam-4619	45	3	k	k	PROPN
ejpam-4619	45	4	µk+1	µk+1	NUM
ejpam-4619	45	5	ωt	ωt	PART
ejpam-4619	45	6	k	k	PROPN
ejpam-4619	45	7	sk	sk	PROPN
ejpam-4619	45	8	−	−	PROPN
ejpam-4619	45	9	stk	stk	PROPN
ejpam-4619	45	10	µk+1	µk+1	ADP
ejpam-4619	45	11	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	45	12	(	(	PUNCT
ejpam-4619	45	13	18	18	NUM
ejpam-4619	45	14	)	)	PUNCT
ejpam-4619	45	15	s.	s.	PROPN
ejpam-4619	45	16	mohammad	mohammad	PROPN
ejpam-4619	45	17	t.	t.	PROPN
ejpam-4619	45	18	,	,	PUNCT
ejpam-4619	45	19	h.	h.	PROPN
ejpam-4619	45	20	chilmeran	chilmeran	PROPN
ejpam-4619	45	21	,	,	PUNCT
ejpam-4619	45	22	r.	r.	PROPN
ejpam-4619	45	23	al	al	PROPN
ejpam-4619	45	24	-	-	PUNCT
ejpam-4619	45	25	kawaz	kawaz	PROPN
ejpam-4619	45	26	/	/	SYM
ejpam-4619	45	27	eur	eur	PROPN
ejpam-4619	45	28	.	.	PUNCT
ejpam-4619	46	1	j.	j.	PROPN
ejpam-4619	46	2	pure	pure	PROPN
ejpam-4619	46	3	appl	appl	PROPN
ejpam-4619	46	4	.	.	PROPN
ejpam-4619	46	5	math	math	PROPN
ejpam-4619	46	6	,	,	PUNCT
ejpam-4619	46	7	16	16	NUM
ejpam-4619	46	8	(	(	PUNCT
ejpam-4619	46	9	1	1	NUM
ejpam-4619	46	10	)	)	PUNCT
ejpam-4619	46	11	(	(	PUNCT
ejpam-4619	46	12	2023	2023	NUM
ejpam-4619	46	13	)	)	PUNCT
ejpam-4619	46	14	,	,	PUNCT
ejpam-4619	46	15	233	233	NUM
ejpam-4619	46	16	-	-	SYM
ejpam-4619	46	17	242	242	NUM
ejpam-4619	46	18	236	236	NUM
ejpam-4619	46	19	equation	equation	NOUN
ejpam-4619	46	20	(	(	PUNCT
ejpam-4619	46	21	18	18	NUM
ejpam-4619	46	22	)	)	PUNCT
ejpam-4619	46	23	is	be	AUX
ejpam-4619	46	24	the	the	DET
ejpam-4619	46	25	new	new	ADJ
ejpam-4619	46	26	formula	formula	NOUN
ejpam-4619	46	27	of	of	ADP
ejpam-4619	46	28	the	the	DET
ejpam-4619	46	29	parameter	parameter	NOUN
ejpam-4619	46	30	γshr	γshr	PROPN
ejpam-4619	46	31	k	k	PROPN
ejpam-4619	47	1	that	that	PRON
ejpam-4619	47	2	can	can	AUX
ejpam-4619	47	3	be	be	AUX
ejpam-4619	47	4	inserted	insert	VERB
ejpam-4619	47	5	into	into	ADP
ejpam-4619	47	6	the	the	DET
ejpam-4619	47	7	search	search	NOUN
ejpam-4619	47	8	direction	direction	NOUN
ejpam-4619	47	9	of	of	ADP
ejpam-4619	47	10	the	the	DET
ejpam-4619	47	11	cg	cg	NOUN
ejpam-4619	47	12	(	(	PUNCT
ejpam-4619	47	13	3	3	NUM
ejpam-4619	47	14	)	)	PUNCT
ejpam-4619	47	15	to	to	PART
ejpam-4619	47	16	give	give	VERB
ejpam-4619	47	17	a	a	DET
ejpam-4619	47	18	new	new	ADJ
ejpam-4619	47	19	search	search	NOUN
ejpam-4619	47	20	direction	direction	NOUN
ejpam-4619	47	21	formula	formula	NOUN
ejpam-4619	47	22	as	as	ADP
ejpam-4619	47	23	in	in	ADP
ejpam-4619	47	24	:	:	PUNCT
ejpam-4619	47	25	pk+1	pk+1	X
ejpam-4619	47	26	=	=	SYM
ejpam-4619	47	27	−µk+1	−µk+1	PROPN
ejpam-4619	48	1	+	+	CCONJ
ejpam-4619	48	2	γshr	γshr	NOUN
ejpam-4619	48	3	k	k	PROPN
ejpam-4619	48	4	sk	sk	INTJ
ejpam-4619	48	5	(	(	PUNCT
ejpam-4619	48	6	19	19	NUM
ejpam-4619	48	7	)	)	PUNCT
ejpam-4619	48	8	the	the	DET
ejpam-4619	48	9	following	follow	VERB
ejpam-4619	48	10	theorem	theorem	NOUN
ejpam-4619	48	11	is	be	AUX
ejpam-4619	48	12	to	to	PART
ejpam-4619	48	13	test	test	VERB
ejpam-4619	48	14	the	the	DET
ejpam-4619	48	15	property	property	NOUN
ejpam-4619	48	16	of	of	ADP
ejpam-4619	48	17	sufficient	sufficient	ADJ
ejpam-4619	48	18	descent	descent	NOUN
ejpam-4619	48	19	for	for	ADP
ejpam-4619	48	20	the	the	DET
ejpam-4619	48	21	new	new	ADJ
ejpam-4619	48	22	search	search	NOUN
ejpam-4619	48	23	direction	direction	NOUN
ejpam-4619	48	24	mentioned	mention	VERB
ejpam-4619	48	25	in	in	ADP
ejpam-4619	48	26	the	the	DET
ejpam-4619	48	27	equations	equation	NOUN
ejpam-4619	48	28	(	(	PUNCT
ejpam-4619	48	29	18	18	NUM
ejpam-4619	48	30	)	)	PUNCT
ejpam-4619	48	31	and	and	CCONJ
ejpam-4619	48	32	(	(	PUNCT
ejpam-4619	48	33	19	19	NUM
ejpam-4619	48	34	)	)	PUNCT
ejpam-4619	48	35	that	that	PRON
ejpam-4619	48	36	is	be	AUX
ejpam-4619	48	37	:	:	PUNCT
ejpam-4619	48	38	theorem	theorem	ADJ
ejpam-4619	48	39	1	1	X
ejpam-4619	48	40	.	.	PUNCT
ejpam-4619	48	41	suppose	suppose	VERB
ejpam-4619	48	42	xk	xk	PROPN
ejpam-4619	48	43	is	be	AUX
ejpam-4619	48	44	generated	generate	VERB
ejpam-4619	48	45	by	by	ADP
ejpam-4619	48	46	the	the	DET
ejpam-4619	48	47	new	new	ADJ
ejpam-4619	48	48	algorithm	algorithm	NOUN
ejpam-4619	48	49	in	in	ADP
ejpam-4619	48	50	equations	equation	NOUN
ejpam-4619	48	51	(	(	PUNCT
ejpam-4619	48	52	18	18	NUM
ejpam-4619	48	53	)	)	PUNCT
ejpam-4619	48	54	and	and	CCONJ
ejpam-4619	48	55	(	(	PUNCT
ejpam-4619	48	56	19	19	NUM
ejpam-4619	48	57	)	)	PUNCT
ejpam-4619	48	58	with	with	ADP
ejpam-4619	48	59	the	the	DET
ejpam-4619	48	60	step	step	NOUN
ejpam-4619	48	61	τk	τk	SCONJ
ejpam-4619	48	62	is	be	AUX
ejpam-4619	48	63	computed	compute	VERB
ejpam-4619	48	64	by	by	ADP
ejpam-4619	48	65	applying	apply	VERB
ejpam-4619	48	66	the	the	DET
ejpam-4619	48	67	(	(	PUNCT
ejpam-4619	48	68	wsls	wsls	NOUN
ejpam-4619	48	69	)	)	PUNCT
ejpam-4619	48	70	condition	condition	NOUN
ejpam-4619	48	71	in	in	ADP
ejpam-4619	48	72	(	(	PUNCT
ejpam-4619	48	73	6	6	NUM
ejpam-4619	48	74	)	)	PUNCT
ejpam-4619	48	75	and	and	CCONJ
ejpam-4619	48	76	(	(	PUNCT
ejpam-4619	48	77	7	7	X
ejpam-4619	48	78	)	)	PUNCT
ejpam-4619	48	79	then	then	ADV
ejpam-4619	48	80	the	the	DET
ejpam-4619	48	81	direction	direction	NOUN
ejpam-4619	48	82	is	be	AUX
ejpam-4619	48	83	sufficiently	sufficiently	ADV
ejpam-4619	48	84	-	-	PUNCT
ejpam-4619	48	85	descent	descent	NOUN
ejpam-4619	48	86	i.e.	i.e.	ADV
ejpam-4619	48	87	:	:	PUNCT
ejpam-4619	48	88	ptk+1µk+1	ptk+1µk+1	VERB
ejpam-4619	48	89	≤	≤	ADJ
ejpam-4619	48	90	−	−	PROPN
ejpam-4619	49	1	(	(	PUNCT
ejpam-4619	49	2	1−	1−	NUM
ejpam-4619	49	3	u	u	NOUN
ejpam-4619	49	4	)	)	PUNCT
ejpam-4619	49	5	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	49	6	(	(	PUNCT
ejpam-4619	49	7	20	20	NUM
ejpam-4619	49	8	)	)	PUNCT
ejpam-4619	49	9	proof	proof	NOUN
ejpam-4619	49	10	.	.	PUNCT
ejpam-4619	50	1	from	from	ADP
ejpam-4619	50	2	the	the	DET
ejpam-4619	50	3	new	new	ADJ
ejpam-4619	50	4	search	search	NOUN
ejpam-4619	50	5	direction	direction	NOUN
ejpam-4619	50	6	equation	equation	NOUN
ejpam-4619	50	7	(	(	PUNCT
ejpam-4619	50	8	19	19	NUM
ejpam-4619	50	9	)	)	PUNCT
ejpam-4619	50	10	and	and	CCONJ
ejpam-4619	50	11	multiplying	multiply	VERB
ejpam-4619	50	12	it	it	PRON
ejpam-4619	50	13	from	from	ADP
ejpam-4619	50	14	both	both	DET
ejpam-4619	50	15	directions	direction	NOUN
ejpam-4619	50	16	by	by	ADP
ejpam-4619	50	17	(	(	PUNCT
ejpam-4619	50	18	µk+1	µk+1	NUM
ejpam-4619	50	19	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	50	20	)	)	PUNCT
ejpam-4619	50	21	we	we	PRON
ejpam-4619	50	22	get	get	VERB
ejpam-4619	50	23	:	:	PUNCT
ejpam-4619	50	24	ptk+1µk+1	ptk+1µk+1	VERB
ejpam-4619	50	25	∥µk+1∥2	∥µk+1∥2	PROPN
ejpam-4619	51	1	+	+	CCONJ
ejpam-4619	51	2	1	1	NUM
ejpam-4619	51	3	=	=	SYM
ejpam-4619	51	4	(	(	PUNCT
ejpam-4619	51	5	ωt	ωt	ADP
ejpam-4619	51	6	k	k	PROPN
ejpam-4619	51	7	µk+1	µk+1	NUM
ejpam-4619	51	8	ωt	ωt	PART
ejpam-4619	52	1	k	k	PROPN
ejpam-4619	53	1	sk	sk	PROPN
ejpam-4619	54	1	−	−	PROPN
ejpam-4619	54	2	stk	stk	PROPN
ejpam-4619	54	3	µk+1	µk+1	NUM
ejpam-4619	54	4	∥µk∥2	∥µk∥2	PUNCT
ejpam-4619	54	5	)	)	PUNCT
ejpam-4619	54	6	stk	stk	PROPN
ejpam-4619	54	7	µk+1	µk+1	NUM
ejpam-4619	54	8	∥µk+1∥2	∥µk+1∥2	PROPN
ejpam-4619	54	9	(	(	PUNCT
ejpam-4619	54	10	21	21	NUM
ejpam-4619	54	11	)	)	PUNCT
ejpam-4619	54	12	since	since	SCONJ
ejpam-4619	54	13	ωt	ωt	ADP
ejpam-4619	54	14	k	k	PROPN
ejpam-4619	54	15	µk+1	µk+1	PROPN
ejpam-4619	54	16	≤	≤	NUM
ejpam-4619	54	17	∥ωk∥∥µk+1∥	∥ωk∥∥µk+1∥	PUNCT
ejpam-4619	54	18	and	and	CCONJ
ejpam-4619	54	19	stk	stk	PROPN
ejpam-4619	54	20	µk+1	µk+1	NUM
ejpam-4619	54	21	≤	≤	PROPN
ejpam-4619	54	22	stk	stk	PROPN
ejpam-4619	54	23	ωk	ωk	ADP
ejpam-4619	54	24	,	,	PUNCT
ejpam-4619	54	25	that	that	ADV
ejpam-4619	54	26	is	be	AUX
ejpam-4619	54	27	ptk+1µk+1	ptk+1µk+1	VERB
ejpam-4619	54	28	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	55	1	+	+	CCONJ
ejpam-4619	55	2	1	1	NUM
ejpam-4619	55	3	≤	≤	NOUN
ejpam-4619	55	4	(	(	PUNCT
ejpam-4619	55	5	∥ωk∥∥µk+1∥	∥ωk∥∥µk+1∥	ADP
ejpam-4619	55	6	ωt	ωt	PART
ejpam-4619	55	7	k	k	PROPN
ejpam-4619	55	8	sk	sk	PROPN
ejpam-4619	55	9	−	−	PROPN
ejpam-4619	55	10	stk	stk	PROPN
ejpam-4619	55	11	ωk	ωk	ADP
ejpam-4619	55	12	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	55	13	)	)	PUNCT
ejpam-4619	56	1	stk	stk	PROPN
ejpam-4619	56	2	ωk	ωk	ADP
ejpam-4619	56	3	∥µk+1∥2	∥µk+1∥2	PROPN
ejpam-4619	56	4	ptk+1µk+1	ptk+1µk+1	X
ejpam-4619	56	5	∥µk+1∥2	∥µk+1∥2	PROPN
ejpam-4619	57	1	+	+	CCONJ
ejpam-4619	57	2	1	1	NUM
ejpam-4619	57	3	≤	≤	NUM
ejpam-4619	57	4	∥ωk∥∥µk+1∥	∥ωk∥∥µk+1∥	ADP
ejpam-4619	57	5	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	57	6	−	−	PROPN
ejpam-4619	58	1	(	(	PUNCT
ejpam-4619	58	2	stk	stk	PROPN
ejpam-4619	58	3	ωk	ωk	ADP
ejpam-4619	58	4	)	)	PUNCT
ejpam-4619	58	5	2	2	NUM
ejpam-4619	58	6	∥µk∥2∥µk+1∥2	∥µk∥2∥µk+1∥2	NOUN
ejpam-4619	58	7	ptk+1µk+1	ptk+1µk+1	X
ejpam-4619	58	8	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	59	1	+	+	CCONJ
ejpam-4619	59	2	1	1	NUM
ejpam-4619	59	3	≤	≤	NUM
ejpam-4619	59	4	∥ωk∥	∥ωk∥	ADP
ejpam-4619	59	5	∥µk+1∥	∥µk+1∥	NUM
ejpam-4619	59	6	−	−	PROPN
ejpam-4619	60	1	(	(	PUNCT
ejpam-4619	60	2	stk	stk	PROPN
ejpam-4619	60	3	ωk	ωk	ADP
ejpam-4619	60	4	)	)	PUNCT
ejpam-4619	60	5	2	2	NUM
ejpam-4619	60	6	∥µk∥2∥µk+1∥2	∥µk∥2∥µk+1∥2	NOUN
ejpam-4619	60	7	ptk+1µk+1	ptk+1µk+1	X
ejpam-4619	60	8	∥µk+1∥2	∥µk+1∥2	NOUN
ejpam-4619	61	1	+	+	CCONJ
ejpam-4619	61	2	1	1	NUM
ejpam-4619	61	3	≤	≤	NOUN
ejpam-4619	61	4	∥ωk∥	∥ωk∥	ADP
ejpam-4619	61	5	∥µk+1∥	∥µk+1∥	NUM
ejpam-4619	61	6	let	let	VERB
ejpam-4619	61	7	u	u	PRON
ejpam-4619	61	8	=	=	NOUN
ejpam-4619	61	9	∥ωk∥	∥ωk∥	PRON
ejpam-4619	61	10	∥µk+1∥	∥µk+1∥	NUM
ejpam-4619	61	11	.	.	PUNCT
ejpam-4619	62	1	so	so	ADV
ejpam-4619	62	2	we	we	PRON
ejpam-4619	62	3	got	get	VERB
ejpam-4619	62	4	the	the	DET
ejpam-4619	62	5	equation	equation	NOUN
ejpam-4619	62	6	(	(	PUNCT
ejpam-4619	62	7	20	20	NUM
ejpam-4619	62	8	)	)	PUNCT
ejpam-4619	62	9	we	we	PRON
ejpam-4619	62	10	need	need	VERB
ejpam-4619	62	11	to	to	PART
ejpam-4619	62	12	prove	prove	VERB
ejpam-4619	62	13	.	.	PUNCT
ejpam-4619	63	1	3	3	X
ejpam-4619	63	2	.	.	X
ejpam-4619	63	3	global	global	ADJ
ejpam-4619	63	4	convergence	convergence	NOUN
ejpam-4619	63	5	property	property	NOUN
ejpam-4619	63	6	before	before	ADP
ejpam-4619	63	7	starting	start	VERB
ejpam-4619	63	8	this	this	DET
ejpam-4619	63	9	section	section	NOUN
ejpam-4619	63	10	,	,	PUNCT
ejpam-4619	63	11	we	we	PRON
ejpam-4619	63	12	need	need	VERB
ejpam-4619	63	13	to	to	PART
ejpam-4619	63	14	make	make	VERB
ejpam-4619	63	15	some	some	DET
ejpam-4619	63	16	assumptions	assumption	NOUN
ejpam-4619	63	17	necessary	necessary	ADJ
ejpam-4619	63	18	to	to	PART
ejpam-4619	63	19	prove	prove	VERB
ejpam-4619	63	20	the	the	DET
ejpam-4619	63	21	convergence	convergence	NOUN
ejpam-4619	63	22	of	of	ADP
ejpam-4619	63	23	the	the	DET
ejpam-4619	63	24	new	new	ADJ
ejpam-4619	63	25	algorithm	algorithm	NOUN
ejpam-4619	63	26	(	(	PUNCT
ejpam-4619	63	27	shr	shr	PROPN
ejpam-4619	63	28	-	-	PUNCT
ejpam-4619	63	29	cg	cg	NOUN
ejpam-4619	63	30	)	)	PUNCT
ejpam-4619	63	31	,	,	PUNCT
ejpam-4619	63	32	as	as	SCONJ
ejpam-4619	63	33	shown	show	VERB
ejpam-4619	63	34	:	:	PUNCT
ejpam-4619	63	35	s.	s.	PROPN
ejpam-4619	63	36	mohammad	mohammad	PROPN
ejpam-4619	63	37	t.	t.	PROPN
ejpam-4619	63	38	,	,	PUNCT
ejpam-4619	63	39	h.	h.	PROPN
ejpam-4619	63	40	chilmeran	chilmeran	PROPN
ejpam-4619	63	41	,	,	PUNCT
ejpam-4619	63	42	r.	r.	PROPN
ejpam-4619	63	43	al	al	PROPN
ejpam-4619	63	44	-	-	PUNCT
ejpam-4619	63	45	kawaz	kawaz	PROPN
ejpam-4619	63	46	/	/	SYM
ejpam-4619	63	47	eur	eur	PROPN
ejpam-4619	63	48	.	.	PUNCT
ejpam-4619	64	1	j.	j.	PROPN
ejpam-4619	64	2	pure	pure	PROPN
ejpam-4619	64	3	appl	appl	PROPN
ejpam-4619	64	4	.	.	PROPN
ejpam-4619	64	5	math	math	PROPN
ejpam-4619	64	6	,	,	PUNCT
ejpam-4619	64	7	16	16	NUM
ejpam-4619	64	8	(	(	PUNCT
ejpam-4619	64	9	1	1	NUM
ejpam-4619	64	10	)	)	PUNCT
ejpam-4619	64	11	(	(	PUNCT
ejpam-4619	64	12	2023	2023	NUM
ejpam-4619	64	13	)	)	PUNCT
ejpam-4619	64	14	,	,	PUNCT
ejpam-4619	64	15	233	233	NUM
ejpam-4619	64	16	-	-	SYM
ejpam-4619	64	17	242	242	NUM
ejpam-4619	64	18	237	237	NUM
ejpam-4619	64	19	3.1	3.1	NUM
ejpam-4619	64	20	.	.	PUNCT
ejpam-4619	65	1	assumption[20	assumption[20	X
ejpam-4619	65	2	]	]	X
ejpam-4619	66	1	(	(	PUNCT
ejpam-4619	66	2	i	i	NOUN
ejpam-4619	66	3	)	)	PUNCT
ejpam-4619	66	4	assume	assume	VERB
ejpam-4619	66	5	f(x	f(x	PROPN
ejpam-4619	66	6	)	)	PUNCT
ejpam-4619	66	7	is	be	AUX
ejpam-4619	66	8	bound	bind	VERB
ejpam-4619	66	9	on	on	ADP
ejpam-4619	66	10	the	the	DET
ejpam-4619	66	11	level	level	NOUN
ejpam-4619	66	12	specified	specify	VERB
ejpam-4619	66	13	by	by	ADP
ejpam-4619	66	14	φ	φ	PROPN
ejpam-4619	66	15	=	=	SYM
ejpam-4619	66	16	{	{	PUNCT
ejpam-4619	66	17	x	x	PROPN
ejpam-4619	66	18	∈	∈	PROPN
ejpam-4619	66	19	rn	rn	PROPN
ejpam-4619	66	20	,	,	PUNCT
ejpam-4619	66	21	f(x	f(x	PROPN
ejpam-4619	66	22	)	)	PUNCT
ejpam-4619	66	23	≤	≤	NUM
ejpam-4619	66	24	f(x0	f(x0	NOUN
ejpam-4619	66	25	)	)	PUNCT
ejpam-4619	66	26	}	}	PUNCT
ejpam-4619	66	27	from	from	ADP
ejpam-4619	66	28	below	below	ADP
ejpam-4619	66	29	.	.	PUNCT
ejpam-4619	67	1	whereas	whereas	SCONJ
ejpam-4619	67	2	x0	x0	PROPN
ejpam-4619	67	3	is	be	AUX
ejpam-4619	67	4	the	the	DET
ejpam-4619	67	5	point	point	NOUN
ejpam-4619	67	6	of	of	ADP
ejpam-4619	67	7	departure	departure	NOUN
ejpam-4619	67	8	.	.	PUNCT
ejpam-4619	68	1	(	(	PUNCT
ejpam-4619	68	2	ii	ii	NOUN
ejpam-4619	68	3	)	)	PUNCT
ejpam-4619	68	4	in	in	ADP
ejpam-4619	68	5	some	some	DET
ejpam-4619	68	6	neighborhoods	neighborhood	NOUN
ejpam-4619	68	7	n	n	ADP
ejpam-4619	68	8	of	of	ADP
ejpam-4619	68	9	φ	φ	PROPN
ejpam-4619	68	10	,	,	PUNCT
ejpam-4619	68	11	the	the	DET
ejpam-4619	68	12	objective	objective	ADJ
ejpam-4619	68	13	function	function	NOUN
ejpam-4619	68	14	is	be	AUX
ejpam-4619	68	15	continuously	continuously	ADV
ejpam-4619	68	16	-	-	PUNCT
ejpam-4619	68	17	differentiable	differentiable	ADJ
ejpam-4619	68	18	,	,	PUNCT
ejpam-4619	68	19	and	and	CCONJ
ejpam-4619	68	20	its	its	PRON
ejpam-4619	68	21	gradient	gradient	NOUN
ejpam-4619	68	22	is	be	AUX
ejpam-4619	68	23	continuous	continuous	ADJ
ejpam-4619	68	24	-	-	PUNCT
ejpam-4619	68	25	lipschitz	lipschitz	NOUN
ejpam-4619	68	26	,	,	PUNCT
ejpam-4619	68	27	which	which	PRON
ejpam-4619	68	28	is	be	AUX
ejpam-4619	68	29	,	,	PUNCT
ejpam-4619	68	30	there	there	PRON
ejpam-4619	68	31	is	be	VERB
ejpam-4619	68	32	such	such	DET
ejpam-4619	68	33	a	a	DET
ejpam-4619	68	34	constant	constant	ADJ
ejpam-4619	68	35	l	l	NOUN
ejpam-4619	68	36	>	>	X
ejpam-4619	68	37	0	0	NUM
ejpam-4619	68	38	such	such	ADJ
ejpam-4619	68	39	that	that	PRON
ejpam-4619	68	40	:	:	PUNCT
ejpam-4619	68	41	∥µ(x)−	∥µ(x)−	X
ejpam-4619	68	42	µ(y)∥	µ(y)∥	NOUN
ejpam-4619	68	43	≤	≤	NOUN
ejpam-4619	68	44	l∥x−	l∥x−	AUX
ejpam-4619	68	45	y∥,∀x	y∥,∀x	PROPN
ejpam-4619	68	46	,	,	PUNCT
ejpam-4619	68	47	y	y	PROPN
ejpam-4619	68	48	∈	∈	PROPN
ejpam-4619	68	49	φ	φ	PROPN
ejpam-4619	68	50	.	.	PUNCT
ejpam-4619	69	1	(	(	PUNCT
ejpam-4619	69	2	22	22	NUM
ejpam-4619	69	3	)	)	PUNCT
ejpam-4619	69	4	we	we	PRON
ejpam-4619	69	5	can	can	AUX
ejpam-4619	69	6	conclude	conclude	VERB
ejpam-4619	69	7	that	that	SCONJ
ejpam-4619	69	8	ζ	ζ	NOUN
ejpam-4619	69	9	,	,	PUNCT
ejpam-4619	69	10	ζ̄	ζ̄	ADV
ejpam-4619	69	11	>	>	X
ejpam-4619	69	12	0	0	NUM
ejpam-4619	69	13	exists	exist	VERB
ejpam-4619	69	14	by	by	ADP
ejpam-4619	69	15	applying	apply	VERB
ejpam-4619	69	16	assumptions	assumption	NOUN
ejpam-4619	69	17	(	(	PUNCT
ejpam-4619	69	18	i	i	NOUN
ejpam-4619	69	19	)	)	PUNCT
ejpam-4619	69	20	and	and	CCONJ
ejpam-4619	69	21	(	(	PUNCT
ejpam-4619	69	22	ii	ii	NOUN
ejpam-4619	69	23	)	)	PUNCT
ejpam-4619	69	24	to	to	ADP
ejpam-4619	69	25	f	f	PROPN
ejpam-4619	69	26	.	.	PUNCT
ejpam-4619	70	1	ζ	ζ	NOUN
ejpam-4619	70	2	≤	≤	NUM
ejpam-4619	70	3	∥µ(x)∥	∥µ(x)∥	PROPN
ejpam-4619	70	4	≤	≤	X
ejpam-4619	70	5	ζ̄	ζ̄	ADV
ejpam-4619	70	6	(	(	PUNCT
ejpam-4619	70	7	23	23	NUM
ejpam-4619	70	8	)	)	PUNCT
ejpam-4619	70	9	(	(	PUNCT
ejpam-4619	70	10	iii	iii	X
ejpam-4619	70	11	)	)	PUNCT
ejpam-4619	70	12	the	the	DET
ejpam-4619	70	13	following	follow	VERB
ejpam-4619	70	14	requirement	requirement	NOUN
ejpam-4619	70	15	is	be	AUX
ejpam-4619	70	16	fulfilled	fulfil	VERB
ejpam-4619	70	17	:	:	PUNCT
ejpam-4619	70	18	∥	∥	PUNCT
ejpam-4619	70	19	(	(	PUNCT
ejpam-4619	70	20	µ(x)−	µ(x)−	PROPN
ejpam-4619	70	21	µ(y))t	µ(y))t	X
ejpam-4619	70	22	(	(	PUNCT
ejpam-4619	70	23	x−	x−	PROPN
ejpam-4619	70	24	y)∥	y)∥	PROPN
ejpam-4619	70	25	≥	≥	PROPN
ejpam-4619	70	26	ς∥sk∥2,∀x	ς∥sk∥2,∀x	PROPN
ejpam-4619	70	27	,	,	PUNCT
ejpam-4619	70	28	y	y	PROPN
ejpam-4619	70	29	∈	∈	PROPN
ejpam-4619	70	30	φ	φ	PROPN
ejpam-4619	70	31	,	,	PUNCT
ejpam-4619	70	32	ς	ς	PROPN
ejpam-4619	70	33	>	>	X
ejpam-4619	70	34	0	0	NUM
ejpam-4619	70	35	.	.	PUNCT
ejpam-4619	71	1	(	(	PUNCT
ejpam-4619	71	2	24	24	NUM
ejpam-4619	71	3	)	)	PUNCT
ejpam-4619	71	4	lemma	lemma	PROPN
ejpam-4619	71	5	1	1	NUM
ejpam-4619	71	6	.	.	PUNCT
ejpam-4619	72	1	if	if	SCONJ
ejpam-4619	72	2	the	the	DET
ejpam-4619	72	3	assumption	assumption	NOUN
ejpam-4619	72	4	is	be	AUX
ejpam-4619	72	5	correct	correct	ADJ
ejpam-4619	72	6	and	and	CCONJ
ejpam-4619	72	7	each	each	DET
ejpam-4619	72	8	conjugated	conjugate	VERB
ejpam-4619	72	9	gradient	gradient	ADJ
ejpam-4619	72	10	method	method	NOUN
ejpam-4619	72	11	has	have	VERB
ejpam-4619	72	12	a	a	DET
ejpam-4619	72	13	descending	descend	VERB
ejpam-4619	72	14	direction	direction	NOUN
ejpam-4619	72	15	pk+1	pk+1	VERB
ejpam-4619	72	16	with	with	ADP
ejpam-4619	72	17	a	a	DET
ejpam-4619	72	18	step	step	NOUN
ejpam-4619	72	19	length	length	NOUN
ejpam-4619	72	20	τk	τk	ADP
ejpam-4619	72	21	of	of	ADP
ejpam-4619	72	22	equations	equation	NOUN
ejpam-4619	72	23	(	(	PUNCT
ejpam-4619	72	24	6	6	NUM
ejpam-4619	72	25	)	)	PUNCT
ejpam-4619	72	26	and	and	CCONJ
ejpam-4619	72	27	(	(	PUNCT
ejpam-4619	72	28	7	7	X
ejpam-4619	72	29	)	)	PUNCT
ejpam-4619	72	30	if	if	SCONJ
ejpam-4619	72	31	so,∑	so,∑	NOUN
ejpam-4619	72	32	k≥1	k≥1	NOUN
ejpam-4619	72	33	1	1	NUM
ejpam-4619	72	34	∥pk+1∥2	∥pk+1∥2	NOUN
ejpam-4619	72	35	=	=	SYM
ejpam-4619	72	36	∞	∞	PROPN
ejpam-4619	72	37	(	(	PUNCT
ejpam-4619	72	38	25	25	NUM
ejpam-4619	72	39	)	)	PUNCT
ejpam-4619	72	40	so	so	SCONJ
ejpam-4619	72	41	the	the	DET
ejpam-4619	72	42	next	next	ADJ
ejpam-4619	72	43	equation	equation	NOUN
ejpam-4619	72	44	is	be	AUX
ejpam-4619	72	45	right	right	ADJ
ejpam-4619	72	46	:	:	PUNCT
ejpam-4619	72	47	lim	lim	PROPN
ejpam-4619	72	48	inf	inf	PROPN
ejpam-4619	72	49	k→∞	k→∞	PROPN
ejpam-4619	72	50	∥µk∥	∥µk∥	PUNCT
ejpam-4619	73	1	=	=	SYM
ejpam-4619	73	2	0	0	NUM
ejpam-4619	73	3	(	(	PUNCT
ejpam-4619	73	4	26	26	NUM
ejpam-4619	73	5	)	)	PUNCT
ejpam-4619	73	6	theorem	theorem	NOUN
ejpam-4619	73	7	2	2	NUM
ejpam-4619	73	8	.	.	PUNCT
ejpam-4619	74	1	if	if	SCONJ
ejpam-4619	74	2	the	the	DET
ejpam-4619	74	3	assumption	assumption	NOUN
ejpam-4619	74	4	is	be	AUX
ejpam-4619	74	5	adhered	adhere	VERB
ejpam-4619	74	6	to	to	ADP
ejpam-4619	74	7	and	and	CCONJ
ejpam-4619	74	8	the	the	DET
ejpam-4619	74	9	new	new	ADJ
ejpam-4619	74	10	direction	direction	NOUN
ejpam-4619	74	11	pk+1	pk+1	AUX
ejpam-4619	74	12	described	describe	VERB
ejpam-4619	74	13	by	by	ADP
ejpam-4619	74	14	equation	equation	NOUN
ejpam-4619	74	15	(	(	PUNCT
ejpam-4619	74	16	19	19	NUM
ejpam-4619	74	17	)	)	PUNCT
ejpam-4619	74	18	is	be	AUX
ejpam-4619	74	19	descent	descent	NOUN
ejpam-4619	74	20	,	,	PUNCT
ejpam-4619	74	21	then	then	ADV
ejpam-4619	74	22	lim	lim	PROPN
ejpam-4619	74	23	inf	inf	PROPN
ejpam-4619	74	24	k→∞	k→∞	PROPN
ejpam-4619	74	25	∥µk∥	∥µk∥	PUNCT
ejpam-4619	75	1	=	=	SYM
ejpam-4619	75	2	0	0	NUM
ejpam-4619	75	3	(	(	PUNCT
ejpam-4619	75	4	27	27	NUM
ejpam-4619	75	5	)	)	PUNCT
ejpam-4619	75	6	proof	proof	NOUN
ejpam-4619	75	7	.	.	PUNCT
ejpam-4619	76	1	from	from	ADP
ejpam-4619	76	2	the	the	DET
ejpam-4619	76	3	formula	formula	NOUN
ejpam-4619	76	4	of	of	ADP
ejpam-4619	76	5	the	the	DET
ejpam-4619	76	6	new	new	ADJ
ejpam-4619	76	7	algorithm	algorithm	NOUN
ejpam-4619	76	8	,	,	PUNCT
ejpam-4619	76	9	we	we	PRON
ejpam-4619	76	10	take	take	VERB
ejpam-4619	76	11	the	the	DET
ejpam-4619	76	12	absolute	absolute	ADJ
ejpam-4619	76	13	value	value	NOUN
ejpam-4619	76	14	of	of	ADP
ejpam-4619	76	15	the	the	DET
ejpam-4619	76	16	proposed	propose	VERB
ejpam-4619	76	17	parameter	parameter	PROPN
ejpam-4619	76	18	γshr	γshr	PROPN
ejpam-4619	76	19	k	k	PROPN
ejpam-4619	76	20	i.e.	i.e.	X
ejpam-4619	76	21	equation	equation	NOUN
ejpam-4619	76	22	(	(	PUNCT
ejpam-4619	76	23	18	18	NUM
ejpam-4619	76	24	)	)	PUNCT
ejpam-4619	76	25	as	as	ADP
ejpam-4619	76	26	in	in	ADP
ejpam-4619	76	27	:	:	PUNCT
ejpam-4619	76	28	|γshr	|γshr	NOUN
ejpam-4619	76	29	k	k	PROPN
ejpam-4619	77	1	|	|	ADV
ejpam-4619	77	2	=	=	SYM
ejpam-4619	78	1	∣∣∣∣ωt	∣∣∣∣ωt	PROPN
ejpam-4619	78	2	k	k	NOUN
ejpam-4619	78	3	µk+1	µk+1	NUM
ejpam-4619	78	4	ωt	ωt	PART
ejpam-4619	78	5	k	k	PROPN
ejpam-4619	78	6	sk	sk	PROPN
ejpam-4619	78	7	−	−	PROPN
ejpam-4619	78	8	stk	stk	PROPN
ejpam-4619	78	9	µk+1	µk+1	NUM
ejpam-4619	78	10	∥µk∥2	∥µk∥2	NOUN
ejpam-4619	78	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4619	78	12	|γshr	|γshr	NOUN
ejpam-4619	78	13	k	k	PROPN
ejpam-4619	79	1	|	|	ADV
ejpam-4619	79	2	≤	≤	NUM
ejpam-4619	79	3	∣∣∣∣ωt	∣∣∣∣ωt	NOUN
ejpam-4619	79	4	k	k	NOUN
ejpam-4619	79	5	µk+1	µk+1	NUM
ejpam-4619	79	6	ωt	ωt	PART
ejpam-4619	79	7	k	k	PROPN
ejpam-4619	79	8	sk	sk	PROPN
ejpam-4619	79	9	∣∣∣∣+	∣∣∣∣+	PROPN
ejpam-4619	79	10	∣∣∣∣stk	∣∣∣∣stk	PROPN
ejpam-4619	79	11	µk+1	µk+1	NUM
ejpam-4619	79	12	∥µk∥2	∥µk∥2	NOUN
ejpam-4619	79	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4619	79	14	(	(	PUNCT
ejpam-4619	79	15	28	28	NUM
ejpam-4619	79	16	)	)	PUNCT
ejpam-4619	79	17	since	since	SCONJ
ejpam-4619	79	18	ωt	ωt	ADP
ejpam-4619	79	19	k	k	PROPN
ejpam-4619	79	20	µk+1	µk+1	PROPN
ejpam-4619	79	21	≤	≤	NUM
ejpam-4619	79	22	∥ωk∥∥µk+1∥	∥ωk∥∥µk+1∥	PUNCT
ejpam-4619	79	23	and	and	CCONJ
ejpam-4619	79	24	from	from	ADP
ejpam-4619	79	25	equation	equation	NOUN
ejpam-4619	79	26	(	(	PUNCT
ejpam-4619	79	27	7	7	NUM
ejpam-4619	79	28	)	)	PUNCT
ejpam-4619	79	29	substitute	substitute	VERB
ejpam-4619	79	30	it	it	PRON
ejpam-4619	79	31	into	into	ADP
ejpam-4619	79	32	equation	equation	NOUN
ejpam-4619	79	33	(	(	PUNCT
ejpam-4619	79	34	28	28	NUM
ejpam-4619	79	35	)	)	PUNCT
ejpam-4619	80	1	i.e.	i.e.	X
ejpam-4619	80	2	:	:	PUNCT
ejpam-4619	80	3	|γshr	|γshr	PROPN
ejpam-4619	80	4	k	k	PROPN
ejpam-4619	81	1	|	|	ADV
ejpam-4619	81	2	≤	≤	NUM
ejpam-4619	81	3	∥ωk∥∥µk+1∥	∥ωk∥∥µk+1∥	ADP
ejpam-4619	81	4	ς∥sk∥2	ς∥sk∥2	NOUN
ejpam-4619	81	5	+	+	CCONJ
ejpam-4619	81	6	∣∣∣∣σµt	∣∣∣∣σµt	PROPN
ejpam-4619	81	7	k	k	PROPN
ejpam-4619	81	8	pk	pk	PROPN
ejpam-4619	81	9	∥µk∥2	∥µk∥2	PROPN
ejpam-4619	81	10	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4619	81	11	(	(	PUNCT
ejpam-4619	81	12	29	29	NUM
ejpam-4619	81	13	)	)	PUNCT
ejpam-4619	81	14	s.	s.	PROPN
ejpam-4619	81	15	mohammad	mohammad	PROPN
ejpam-4619	81	16	t.	t.	PROPN
ejpam-4619	81	17	,	,	PUNCT
ejpam-4619	81	18	h.	h.	PROPN
ejpam-4619	81	19	chilmeran	chilmeran	PROPN
ejpam-4619	81	20	,	,	PUNCT
ejpam-4619	81	21	r.	r.	PROPN
ejpam-4619	81	22	al	al	PROPN
ejpam-4619	81	23	-	-	PUNCT
ejpam-4619	81	24	kawaz	kawaz	PROPN
ejpam-4619	81	25	/	/	SYM
ejpam-4619	81	26	eur	eur	PROPN
ejpam-4619	81	27	.	.	PUNCT
ejpam-4619	82	1	j.	j.	PROPN
ejpam-4619	82	2	pure	pure	PROPN
ejpam-4619	82	3	appl	appl	PROPN
ejpam-4619	82	4	.	.	PROPN
ejpam-4619	82	5	math	math	PROPN
ejpam-4619	82	6	,	,	PUNCT
ejpam-4619	82	7	16	16	NUM
ejpam-4619	82	8	(	(	PUNCT
ejpam-4619	82	9	1	1	NUM
ejpam-4619	82	10	)	)	PUNCT
ejpam-4619	82	11	(	(	PUNCT
ejpam-4619	82	12	2023	2023	NUM
ejpam-4619	82	13	)	)	PUNCT
ejpam-4619	82	14	,	,	PUNCT
ejpam-4619	82	15	233	233	NUM
ejpam-4619	82	16	-	-	SYM
ejpam-4619	82	17	242	242	NUM
ejpam-4619	82	18	238	238	NUM
ejpam-4619	82	19	since	since	SCONJ
ejpam-4619	82	20	pk	pk	PROPN
ejpam-4619	82	21	=	=	SYM
ejpam-4619	82	22	−µk	−µk	PROPN
ejpam-4619	82	23	and	and	CCONJ
ejpam-4619	82	24	ωk	ωk	ADP
ejpam-4619	82	25	=	=	PROPN
ejpam-4619	82	26	yk	yk	PROPN
ejpam-4619	83	1	+	+	CCONJ
ejpam-4619	83	2	ρk	ρk	PROPN
ejpam-4619	83	3	∥sk∥2	∥sk∥2	PROPN
ejpam-4619	83	4	sk	sk	VERB
ejpam-4619	83	5	|γshr	|γshr	PROPN
ejpam-4619	83	6	k	k	PROPN
ejpam-4619	84	1	|	|	ADV
ejpam-4619	84	2	≤	≤	X
ejpam-4619	84	3	∥yk	∥yk	PROPN
ejpam-4619	85	1	+	+	CCONJ
ejpam-4619	85	2	ρk	ρk	PROPN
ejpam-4619	85	3	∥sk∥2	∥sk∥2	PROPN
ejpam-4619	85	4	sk∥∥µk+1∥	sk∥∥µk+1∥	PROPN
ejpam-4619	85	5	ς∥sk∥2	ς∥sk∥2	NOUN
ejpam-4619	85	6	+	+	CCONJ
ejpam-4619	85	7	σ∥µk∥∥sk∥	σ∥µk∥∥sk∥	PROPN
ejpam-4619	85	8	∥µk∥2	∥µk∥2	X
ejpam-4619	85	9	|γshr	|γshr	NOUN
ejpam-4619	85	10	k	k	PROPN
ejpam-4619	86	1	|	|	ADV
ejpam-4619	86	2	≤	≤	NUM
ejpam-4619	86	3	∥yk∥∥µk+1∥+	∥yk∥∥µk+1∥+	NOUN
ejpam-4619	86	4	ρk	ρk	NOUN
ejpam-4619	86	5	∥sk∥2	∥sk∥2	PROPN
ejpam-4619	86	6	∥sk∥∥µk+1∥	∥sk∥∥µk+1∥	PROPN
ejpam-4619	86	7	ς∥sk∥2	ς∥sk∥2	NOUN
ejpam-4619	87	1	+	+	CCONJ
ejpam-4619	87	2	σ∥sk∥	σ∥sk∥	X
ejpam-4619	87	3	∥µk∥	∥µk∥	NUM
ejpam-4619	87	4	(	(	PUNCT
ejpam-4619	87	5	30	30	NUM
ejpam-4619	87	6	)	)	PUNCT
ejpam-4619	87	7	from	from	ADP
ejpam-4619	87	8	the	the	DET
ejpam-4619	87	9	lipschitz	lipschitz	NOUN
ejpam-4619	87	10	condition	condition	NOUN
ejpam-4619	87	11	:	:	PUNCT
ejpam-4619	87	12	|γshr	|γshr	PROPN
ejpam-4619	87	13	k	k	PROPN
ejpam-4619	88	1	|	|	ADV
ejpam-4619	88	2	≤	≤	PUNCT
ejpam-4619	88	3	l∥sk∥∥µk+1∥∥sk∥2	l∥sk∥∥µk+1∥∥sk∥2	PUNCT
ejpam-4619	89	1	+	+	NUM
ejpam-4619	89	2	ρk∥sk∥∥µk+1∥	ρk∥sk∥∥µk+1∥	PROPN
ejpam-4619	89	3	ς∥sk∥4	ς∥sk∥4	NOUN
ejpam-4619	89	4	+	+	CCONJ
ejpam-4619	89	5	σ∥sk∥	σ∥sk∥	PROPN
ejpam-4619	89	6	∥µk∥	∥µk∥	VERB
ejpam-4619	89	7	|γshr	|γshr	PROPN
ejpam-4619	89	8	k	k	PROPN
ejpam-4619	90	1	|	|	ADV
ejpam-4619	90	2	≤	≤	X
ejpam-4619	91	1	l∥µk+1∥	l∥µk+1∥	NOUN
ejpam-4619	91	2	ς∥sk∥	ς∥sk∥	ADP
ejpam-4619	91	3	+	+	NUM
ejpam-4619	91	4	ρk∥µk+1∥	ρk∥µk+1∥	NOUN
ejpam-4619	91	5	ς∥sk∥3	ς∥sk∥3	NOUN
ejpam-4619	91	6	+	+	CCONJ
ejpam-4619	91	7	σ∥sk∥	σ∥sk∥	X
ejpam-4619	91	8	∥µk∥	∥µk∥	PUNCT
ejpam-4619	91	9	(	(	PUNCT
ejpam-4619	91	10	31	31	NUM
ejpam-4619	91	11	)	)	PUNCT
ejpam-4619	91	12	as	as	SCONJ
ejpam-4619	91	13	the	the	DET
ejpam-4619	91	14	assumption	assumption	NOUN
ejpam-4619	91	15	is	be	AUX
ejpam-4619	91	16	fulfilled	fulfil	VERB
ejpam-4619	91	17	|γshr	|γshr	NOUN
ejpam-4619	91	18	k	k	PROPN
ejpam-4619	92	1	|	|	ADV
ejpam-4619	92	2	≤	≤	X
ejpam-4619	92	3	lζ	lζ	ADJ
ejpam-4619	92	4	ς∥sk∥	ς∥sk∥	ADP
ejpam-4619	92	5	+	+	CCONJ
ejpam-4619	92	6	ρkζ	ρkζ	NOUN
ejpam-4619	92	7	ς∥sk∥3	ς∥sk∥3	NOUN
ejpam-4619	92	8	+	+	CCONJ
ejpam-4619	92	9	στk	στk	PROPN
ejpam-4619	92	10	(	(	PUNCT
ejpam-4619	92	11	32	32	NUM
ejpam-4619	92	12	)	)	PUNCT
ejpam-4619	92	13	let	let	VERB
ejpam-4619	92	14	lζ	lζ	ADJ
ejpam-4619	92	15	ς∥sk∥	ς∥sk∥	ADP
ejpam-4619	92	16	+	+	CCONJ
ejpam-4619	92	17	ρkζ	ρkζ	NOUN
ejpam-4619	92	18	ς∥sk∥3	ς∥sk∥3	NOUN
ejpam-4619	92	19	+	+	CCONJ
ejpam-4619	92	20	στk	στk	PROPN
ejpam-4619	92	21	=	=	SYM
ejpam-4619	92	22	ξ	ξ	PROPN
ejpam-4619	92	23	,	,	PUNCT
ejpam-4619	92	24	by	by	ADP
ejpam-4619	92	25	taking	take	VERB
ejpam-4619	92	26	the	the	DET
ejpam-4619	92	27	absolute	absolute	ADJ
ejpam-4619	92	28	value	value	NOUN
ejpam-4619	92	29	of	of	ADP
ejpam-4619	92	30	equation	equation	NOUN
ejpam-4619	92	31	(	(	PUNCT
ejpam-4619	92	32	19	19	NUM
ejpam-4619	92	33	)	)	PUNCT
ejpam-4619	92	34	we	we	PRON
ejpam-4619	92	35	get	get	VERB
ejpam-4619	92	36	:	:	PUNCT
ejpam-4619	92	37	∥pk+1∥	∥pk+1∥	NUM
ejpam-4619	92	38	≤	≤	NUM
ejpam-4619	92	39	∥µk+1	∥µk+1	NOUN
ejpam-4619	92	40	+	+	X
ejpam-4619	92	41	γshr	γshr	NOUN
ejpam-4619	92	42	k	k	PROPN
ejpam-4619	93	1	sk∥	sk∥	PROPN
ejpam-4619	93	2	∥pk+1∥	∥pk+1∥	NUM
ejpam-4619	93	3	≤	≤	NUM
ejpam-4619	93	4	∥µk+1∥+	∥µk+1∥+	ADP
ejpam-4619	93	5	∥γshr	∥γshr	PROPN
ejpam-4619	93	6	k	k	PROPN
ejpam-4619	93	7	∥∥sk∥	∥∥sk∥	X
ejpam-4619	93	8	∥pk+1∥	∥pk+1∥	NOUN
ejpam-4619	93	9	≤	≤	PUNCT
ejpam-4619	93	10	ζ̄	ζ̄	VERB
ejpam-4619	93	11	+	+	X
ejpam-4619	93	12	ξ∥sk∥	ξ∥sk∥	NOUN
ejpam-4619	93	13	=	=	SYM
ejpam-4619	93	14	d̆∑	d̆∑	PROPN
ejpam-4619	93	15	k≥1	k≥1	NOUN
ejpam-4619	93	16	1	1	NUM
ejpam-4619	93	17	∥pk+1∥2	∥pk+1∥2	NOUN
ejpam-4619	93	18	≥	≥	NOUN
ejpam-4619	93	19	1	1	NUM
ejpam-4619	93	20	d̆	d̆	NOUN
ejpam-4619	93	21	∑	∑	PUNCT
ejpam-4619	93	22	k≥1	k≥1	PROPN
ejpam-4619	93	23	1	1	NUM
ejpam-4619	93	24	=	=	SYM
ejpam-4619	93	25	∞	∞	NUM
ejpam-4619	93	26	(	(	PUNCT
ejpam-4619	93	27	33	33	NUM
ejpam-4619	93	28	)	)	PUNCT
ejpam-4619	93	29	lim	lim	PROPN
ejpam-4619	93	30	inf	inf	PROPN
ejpam-4619	93	31	k→∞	k→∞	ADV
ejpam-4619	93	32	∥µk∥	∥µk∥	PUNCT
ejpam-4619	93	33	=	=	SYM
ejpam-4619	93	34	0	0	NUM
ejpam-4619	93	35	(	(	PUNCT
ejpam-4619	93	36	34	34	NUM
ejpam-4619	93	37	)	)	PUNCT
ejpam-4619	93	38	so	so	SCONJ
ejpam-4619	93	39	the	the	DET
ejpam-4619	93	40	proof	proof	NOUN
ejpam-4619	93	41	is	be	AUX
ejpam-4619	93	42	complete	complete	ADJ
ejpam-4619	93	43	.	.	PUNCT
ejpam-4619	94	1	4	4	X
ejpam-4619	94	2	.	.	X
ejpam-4619	94	3	numerical	numerical	ADJ
ejpam-4619	94	4	result	result	PROPN
ejpam-4619	94	5	we	we	PRON
ejpam-4619	94	6	present	present	VERB
ejpam-4619	94	7	a	a	DET
ejpam-4619	94	8	numerical	numerical	ADJ
ejpam-4619	94	9	comparison	comparison	NOUN
ejpam-4619	94	10	in	in	ADP
ejpam-4619	94	11	this	this	DET
ejpam-4619	94	12	section	section	NOUN
ejpam-4619	94	13	between	between	ADP
ejpam-4619	94	14	the	the	DET
ejpam-4619	94	15	new	new	ADJ
ejpam-4619	94	16	algorithm	algorithm	NOUN
ejpam-4619	94	17	proposed	propose	VERB
ejpam-4619	94	18	in	in	ADP
ejpam-4619	94	19	equation	equation	NOUN
ejpam-4619	94	20	(	(	PUNCT
ejpam-4619	94	21	19	19	NUM
ejpam-4619	94	22	)	)	PUNCT
ejpam-4619	94	23	concerning	concern	VERB
ejpam-4619	94	24	(	(	PUNCT
ejpam-4619	94	25	35	35	NUM
ejpam-4619	94	26	)	)	PUNCT
ejpam-4619	94	27	standard	standard	ADJ
ejpam-4619	94	28	test	test	NOUN
ejpam-4619	94	29	functions	function	NOUN
ejpam-4619	94	30	from	from	ADP
ejpam-4619	94	31	[	[	X
ejpam-4619	94	32	9	9	NUM
ejpam-4619	94	33	,	,	PUNCT
ejpam-4619	94	34	10	10	NUM
ejpam-4619	94	35	]	]	PUNCT
ejpam-4619	94	36	with	with	ADP
ejpam-4619	94	37	the	the	DET
ejpam-4619	94	38	algorithms	algorithms	NOUN
ejpam-4619	94	39	(	(	PUNCT
ejpam-4619	94	40	hs	hs	X
ejpam-4619	94	41	)	)	PUNCT
ejpam-4619	95	1	[	[	X
ejpam-4619	95	2	21	21	NUM
ejpam-4619	95	3	]	]	PUNCT
ejpam-4619	95	4	and	and	CCONJ
ejpam-4619	95	5	(	(	PUNCT
ejpam-4619	95	6	hz	hz	PROPN
ejpam-4619	95	7	)	)	PUNCT
ejpam-4619	96	1	[	[	X
ejpam-4619	96	2	18	18	NUM
ejpam-4619	96	3	]	]	PUNCT
ejpam-4619	96	4	.	.	PUNCT
ejpam-4619	97	1	the	the	DET
ejpam-4619	97	2	tests	test	NOUN
ejpam-4619	97	3	were	be	AUX
ejpam-4619	97	4	based	base	VERB
ejpam-4619	97	5	on	on	ADP
ejpam-4619	97	6	the	the	DET
ejpam-4619	97	7	following	follow	VERB
ejpam-4619	97	8	tools	tool	NOUN
ejpam-4619	97	9	:	:	PUNCT
ejpam-4619	97	10	•	•	ADP
ejpam-4619	97	11	the	the	DET
ejpam-4619	97	12	number	number	NOUN
ejpam-4619	97	13	of	of	ADP
ejpam-4619	97	14	times	time	NOUN
ejpam-4619	97	15	the	the	DET
ejpam-4619	97	16	iteration	iteration	NOUN
ejpam-4619	97	17	is	be	AUX
ejpam-4619	97	18	calculated	calculate	VERB
ejpam-4619	97	19	(	(	PUNCT
ejpam-4619	97	20	itc	itc	PROPN
ejpam-4619	97	21	)	)	PUNCT
ejpam-4619	97	22	.	.	PUNCT
ejpam-4619	98	1	•	•	NOUN
ejpam-4619	98	2	the	the	DET
ejpam-4619	98	3	number	number	NOUN
ejpam-4619	98	4	of	of	ADP
ejpam-4619	98	5	times	time	NOUN
ejpam-4619	98	6	the	the	DET
ejpam-4619	98	7	function	function	NOUN
ejpam-4619	98	8	and	and	CCONJ
ejpam-4619	98	9	its	its	PRON
ejpam-4619	98	10	derivative	derivative	NOUN
ejpam-4619	98	11	are	be	AUX
ejpam-4619	98	12	calculated	calculate	VERB
ejpam-4619	98	13	(	(	PUNCT
ejpam-4619	98	14	fdc	fdc	PROPN
ejpam-4619	98	15	)	)	PUNCT
ejpam-4619	98	16	.	.	PUNCT
ejpam-4619	99	1	•	•	NOUN
ejpam-4619	99	2	the	the	DET
ejpam-4619	99	3	time	time	NOUN
ejpam-4619	99	4	it	it	PRON
ejpam-4619	99	5	takes	take	VERB
ejpam-4619	99	6	to	to	PART
ejpam-4619	99	7	execute	execute	VERB
ejpam-4619	99	8	for	for	ADP
ejpam-4619	99	9	the	the	DET
ejpam-4619	99	10	processor	processor	NOUN
ejpam-4619	99	11	(	(	PUNCT
ejpam-4619	99	12	tep	tep	PROPN
ejpam-4619	99	13	)	)	PUNCT
ejpam-4619	99	14	.	.	PUNCT
ejpam-4619	100	1	s.	s.	PROPN
ejpam-4619	100	2	mohammad	mohammad	PROPN
ejpam-4619	100	3	t.	t.	PROPN
ejpam-4619	100	4	,	,	PUNCT
ejpam-4619	100	5	h.	h.	PROPN
ejpam-4619	100	6	chilmeran	chilmeran	PROPN
ejpam-4619	100	7	,	,	PUNCT
ejpam-4619	100	8	r.	r.	PROPN
ejpam-4619	100	9	al	al	PROPN
ejpam-4619	100	10	-	-	PUNCT
ejpam-4619	100	11	kawaz	kawaz	PROPN
ejpam-4619	100	12	/	/	SYM
ejpam-4619	100	13	eur	eur	PROPN
ejpam-4619	100	14	.	.	PUNCT
ejpam-4619	101	1	j.	j.	PROPN
ejpam-4619	101	2	pure	pure	PROPN
ejpam-4619	101	3	appl	appl	PROPN
ejpam-4619	101	4	.	.	PROPN
ejpam-4619	101	5	math	math	PROPN
ejpam-4619	101	6	,	,	PUNCT
ejpam-4619	101	7	16	16	NUM
ejpam-4619	101	8	(	(	PUNCT
ejpam-4619	101	9	1	1	NUM
ejpam-4619	101	10	)	)	PUNCT
ejpam-4619	101	11	(	(	PUNCT
ejpam-4619	101	12	2023	2023	NUM
ejpam-4619	101	13	)	)	PUNCT
ejpam-4619	101	14	,	,	PUNCT
ejpam-4619	101	15	233	233	NUM
ejpam-4619	101	16	-	-	SYM
ejpam-4619	101	17	242	242	NUM
ejpam-4619	101	18	239	239	NUM
ejpam-4619	101	19	these	these	DET
ejpam-4619	101	20	comparisons	comparison	NOUN
ejpam-4619	101	21	were	be	AUX
ejpam-4619	101	22	carried	carry	VERB
ejpam-4619	101	23	out	out	ADP
ejpam-4619	101	24	by	by	ADP
ejpam-4619	101	25	code	code	NOUN
ejpam-4619	101	26	in	in	ADP
ejpam-4619	101	27	the	the	DET
ejpam-4619	101	28	fortran	fortran	NOUN
ejpam-4619	101	29	program	program	NOUN
ejpam-4619	101	30	and	and	CCONJ
ejpam-4619	101	31	with	with	ADP
ejpam-4619	101	32	a	a	DET
ejpam-4619	101	33	stop	stop	NOUN
ejpam-4619	101	34	scale	scale	NOUN
ejpam-4619	101	35	µk	µk	PRON
ejpam-4619	101	36	≤	≤	ADJ
ejpam-4619	101	37	10−5	10−5	NUM
ejpam-4619	101	38	.	.	PUNCT
ejpam-4619	102	1	these	these	DET
ejpam-4619	102	2	results	result	NOUN
ejpam-4619	102	3	are	be	AUX
ejpam-4619	102	4	plotted	plot	VERB
ejpam-4619	102	5	for	for	ADP
ejpam-4619	102	6	better	well	ADJ
ejpam-4619	102	7	comparison	comparison	NOUN
ejpam-4619	102	8	based	base	VERB
ejpam-4619	102	9	on	on	ADP
ejpam-4619	102	10	the	the	DET
ejpam-4619	102	11	dolanmore	dolanmore	NOUN
ejpam-4619	102	12	method	method	NOUN
ejpam-4619	102	13	[	[	X
ejpam-4619	102	14	16	16	NUM
ejpam-4619	102	15	]	]	PUNCT
ejpam-4619	102	16	.	.	PUNCT
ejpam-4619	103	1	we	we	PRON
ejpam-4619	103	2	all	all	PRON
ejpam-4619	103	3	of	of	ADP
ejpam-4619	103	4	the	the	DET
ejpam-4619	103	5	algorithms	algorithm	NOUN
ejpam-4619	103	6	mentioned	mention	VERB
ejpam-4619	103	7	,	,	PUNCT
ejpam-4619	103	8	we	we	PRON
ejpam-4619	103	9	tried	try	VERB
ejpam-4619	103	10	on	on	ADP
ejpam-4619	103	11	small	small	ADJ
ejpam-4619	103	12	(	(	PUNCT
ejpam-4619	103	13	1000	1000	NUM
ejpam-4619	103	14	)	)	PUNCT
ejpam-4619	103	15	and	and	CCONJ
ejpam-4619	103	16	large	large	ADJ
ejpam-4619	103	17	dimensions	dimension	NOUN
ejpam-4619	103	18	(	(	PUNCT
ejpam-4619	103	19	10000	10000	NUM
ejpam-4619	103	20	)	)	PUNCT
ejpam-4619	103	21	of	of	ADP
ejpam-4619	103	22	the	the	DET
ejpam-4619	103	23	variables	variable	NOUN
ejpam-4619	103	24	with	with	ADP
ejpam-4619	103	25	wolfe	wolfe	PROPN
ejpam-4619	103	26	’s	’s	PART
ejpam-4619	103	27	search	search	NOUN
ejpam-4619	103	28	line	line	NOUN
ejpam-4619	103	29	(	(	PUNCT
ejpam-4619	103	30	wsls	wsls	NOUN
ejpam-4619	103	31	)	)	PUNCT
ejpam-4619	103	32	,	,	PUNCT
ejpam-4619	103	33	and	and	CCONJ
ejpam-4619	103	34	the	the	DET
ejpam-4619	103	35	results	result	NOUN
ejpam-4619	103	36	were	be	AUX
ejpam-4619	103	37	as	as	ADP
ejpam-4619	103	38	in	in	ADP
ejpam-4619	103	39	the	the	DET
ejpam-4619	103	40	following	following	ADJ
ejpam-4619	103	41	figures	figure	NOUN
ejpam-4619	103	42	:	:	PUNCT
ejpam-4619	103	43	1	1	NUM
ejpam-4619	103	44	2	2	NUM
ejpam-4619	103	45	3	3	NUM
ejpam-4619	103	46	4	4	NUM
ejpam-4619	103	47	5	5	NUM
ejpam-4619	103	48	6	6	NUM
ejpam-4619	103	49	7	7	NUM
ejpam-4619	103	50	0	0	NUM
ejpam-4619	103	51	0.1	0.1	NUM
ejpam-4619	103	52	0.2	0.2	NUM
ejpam-4619	103	53	0.3	0.3	NUM
ejpam-4619	103	54	0.4	0.4	NUM
ejpam-4619	103	55	0.5	0.5	NUM
ejpam-4619	103	56	0.6	0.6	NUM
ejpam-4619	103	57	0.7	0.7	NUM
ejpam-4619	103	58	0.8	0.8	NUM
ejpam-4619	103	59	0.9	0.9	NUM
ejpam-4619	103	60	1	1	NUM
ejpam-4619	103	61	p	p	NOUN
ejpam-4619	103	62	e	e	NOUN
ejpam-4619	103	63	rf	rf	NOUN
ejpam-4619	103	64	o	o	PROPN
ejpam-4619	103	65	rm	rm	NOUN
ejpam-4619	104	1	a	a	PRON
ejpam-4619	104	2	n	n	NOUN
ejpam-4619	104	3	c	c	NOUN
ejpam-4619	104	4	e	e	NOUN
ejpam-4619	105	1	o	o	NOUN
ejpam-4619	105	2	f	f	X
ejpam-4619	106	1	it	it	PRON
ejpam-4619	106	2	c	c	PROPN
ejpam-4619	107	1	shr	shr	PROPN
ejpam-4619	108	1	hs	hs	PROPN
ejpam-4619	108	2	hz	hz	VERB
ejpam-4619	108	3	figure	figure	NOUN
ejpam-4619	108	4	1	1	NUM
ejpam-4619	108	5	:	:	PUNCT
ejpam-4619	108	6	the	the	DET
ejpam-4619	108	7	number	number	NOUN
ejpam-4619	108	8	of	of	ADP
ejpam-4619	108	9	times	time	NOUN
ejpam-4619	108	10	the	the	DET
ejpam-4619	108	11	iteration	iteration	NOUN
ejpam-4619	108	12	is	be	AUX
ejpam-4619	108	13	calculated	calculate	VERB
ejpam-4619	108	14	(	(	PUNCT
ejpam-4619	108	15	itc	itc	PROPN
ejpam-4619	108	16	)	)	PUNCT
ejpam-4619	108	17	.	.	PUNCT
ejpam-4619	109	1	figure	figure	NOUN
ejpam-4619	109	2	1	1	NUM
ejpam-4619	109	3	shows	show	VERB
ejpam-4619	109	4	the	the	DET
ejpam-4619	109	5	progress	progress	NOUN
ejpam-4619	109	6	of	of	ADP
ejpam-4619	109	7	the	the	DET
ejpam-4619	109	8	new	new	ADJ
ejpam-4619	109	9	algorithm	algorithm	NOUN
ejpam-4619	109	10	(	(	PUNCT
ejpam-4619	109	11	shr	shr	PROPN
ejpam-4619	109	12	)	)	PUNCT
ejpam-4619	109	13	over	over	ADP
ejpam-4619	109	14	the	the	DET
ejpam-4619	109	15	basic	basic	ADJ
ejpam-4619	109	16	algorithms	algorithm	NOUN
ejpam-4619	109	17	of	of	ADP
ejpam-4619	109	18	hestenes	hestene	NOUN
ejpam-4619	109	19	and	and	CCONJ
ejpam-4619	109	20	stiefel	stiefel	PROPN
ejpam-4619	109	21	(	(	PUNCT
ejpam-4619	109	22	hs	hs	X
ejpam-4619	109	23	)	)	PUNCT
ejpam-4619	109	24	and	and	CCONJ
ejpam-4619	109	25	hager	hager	PROPN
ejpam-4619	109	26	and	and	CCONJ
ejpam-4619	109	27	zhang	zhang	PROPN
ejpam-4619	109	28	(	(	PUNCT
ejpam-4619	109	29	hz	hz	PROPN
ejpam-4619	109	30	)	)	PUNCT
ejpam-4619	109	31	about	about	ADP
ejpam-4619	109	32	the	the	DET
ejpam-4619	109	33	calculated	calculate	VERB
ejpam-4619	109	34	iterations	iteration	NOUN
ejpam-4619	109	35	of	of	ADP
ejpam-4619	109	36	the	the	DET
ejpam-4619	109	37	test	test	NOUN
ejpam-4619	109	38	functions	function	NOUN
ejpam-4619	109	39	during	during	ADP
ejpam-4619	109	40	the	the	DET
ejpam-4619	109	41	implementation	implementation	NOUN
ejpam-4619	109	42	by	by	ADP
ejpam-4619	109	43	dolan	dolan	NOUN
ejpam-4619	109	44	-	-	PUNCT
ejpam-4619	109	45	more	more	ADJ
ejpam-4619	109	46	method	method	NOUN
ejpam-4619	109	47	.	.	PUNCT
ejpam-4619	110	1	1	1	NUM
ejpam-4619	110	2	2	2	NUM
ejpam-4619	110	3	3	3	NUM
ejpam-4619	110	4	4	4	NUM
ejpam-4619	110	5	5	5	NUM
ejpam-4619	110	6	6	6	NUM
ejpam-4619	110	7	7	7	NUM
ejpam-4619	110	8	0	0	NUM
ejpam-4619	110	9	0.1	0.1	NUM
ejpam-4619	110	10	0.2	0.2	NUM
ejpam-4619	110	11	0.3	0.3	NUM
ejpam-4619	110	12	0.4	0.4	NUM
ejpam-4619	110	13	0.5	0.5	NUM
ejpam-4619	110	14	0.6	0.6	NUM
ejpam-4619	110	15	0.7	0.7	NUM
ejpam-4619	110	16	0.8	0.8	NUM
ejpam-4619	110	17	0.9	0.9	NUM
ejpam-4619	110	18	1	1	NUM
ejpam-4619	110	19	p	p	NOUN
ejpam-4619	110	20	e	e	NOUN
ejpam-4619	110	21	rf	rf	NOUN
ejpam-4619	110	22	o	o	PROPN
ejpam-4619	110	23	rm	rm	NOUN
ejpam-4619	110	24	a	a	PRON
ejpam-4619	110	25	n	n	NOUN
ejpam-4619	110	26	c	c	NOUN
ejpam-4619	110	27	e	e	NOUN
ejpam-4619	110	28	o	o	NOUN
ejpam-4619	110	29	f	f	X
ejpam-4619	110	30	f	f	PROPN
ejpam-4619	110	31	d	d	PROPN
ejpam-4619	110	32	c	c	PROPN
ejpam-4619	110	33	shr	shr	PROPN
ejpam-4619	110	34	hs	hs	PROPN
ejpam-4619	110	35	hz	hz	VERB
ejpam-4619	110	36	figure	figure	NOUN
ejpam-4619	110	37	2	2	NUM
ejpam-4619	110	38	:	:	PUNCT
ejpam-4619	110	39	the	the	DET
ejpam-4619	110	40	number	number	NOUN
ejpam-4619	110	41	of	of	ADP
ejpam-4619	110	42	times	time	NOUN
ejpam-4619	110	43	the	the	DET
ejpam-4619	110	44	function	function	NOUN
ejpam-4619	110	45	and	and	CCONJ
ejpam-4619	110	46	its	its	PRON
ejpam-4619	110	47	derivative	derivative	NOUN
ejpam-4619	110	48	are	be	AUX
ejpam-4619	110	49	calculated	calculate	VERB
ejpam-4619	110	50	(	(	PUNCT
ejpam-4619	110	51	fdc	fdc	PROPN
ejpam-4619	110	52	)	)	PUNCT
ejpam-4619	110	53	.	.	PUNCT
ejpam-4619	111	1	in	in	ADP
ejpam-4619	111	2	figure	figure	NOUN
ejpam-4619	111	3	2	2	NUM
ejpam-4619	111	4	,	,	PUNCT
ejpam-4619	111	5	the	the	DET
ejpam-4619	111	6	new	new	ADJ
ejpam-4619	111	7	algorithm	algorithm	NOUN
ejpam-4619	111	8	(	(	PUNCT
ejpam-4619	111	9	shr	shr	PROPN
ejpam-4619	111	10	)	)	PUNCT
ejpam-4619	111	11	is	be	AUX
ejpam-4619	111	12	the	the	DET
ejpam-4619	111	13	best	good	ADJ
ejpam-4619	111	14	in	in	ADP
ejpam-4619	111	15	performance	performance	NOUN
ejpam-4619	111	16	and	and	CCONJ
ejpam-4619	111	17	overcomes	overcome	VERB
ejpam-4619	111	18	the	the	DET
ejpam-4619	111	19	basic	basic	ADJ
ejpam-4619	111	20	algorithms	algorithm	NOUN
ejpam-4619	111	21	concerning	concern	VERB
ejpam-4619	111	22	the	the	DET
ejpam-4619	111	23	number	number	NOUN
ejpam-4619	111	24	of	of	ADP
ejpam-4619	111	25	times	time	NOUN
ejpam-4619	111	26	the	the	DET
ejpam-4619	111	27	function	function	NOUN
ejpam-4619	111	28	is	be	AUX
ejpam-4619	111	29	calculated	calculate	VERB
ejpam-4619	111	30	and	and	CCONJ
ejpam-4619	111	31	it	it	PRON
ejpam-4619	111	32	’s	’	VERB
ejpam-4619	111	33	derivative	derivative	NOUN
ejpam-4619	111	34	for	for	ADP
ejpam-4619	111	35	each	each	PRON
ejpam-4619	111	36	of	of	ADP
ejpam-4619	111	37	the	the	DET
ejpam-4619	111	38	test	test	NOUN
ejpam-4619	111	39	functions	function	NOUN
ejpam-4619	111	40	computed	compute	VERB
ejpam-4619	111	41	during	during	ADP
ejpam-4619	111	42	implementation	implementation	NOUN
ejpam-4619	111	43	through	through	ADP
ejpam-4619	111	44	the	the	DET
ejpam-4619	111	45	dolan	dolan	NOUN
ejpam-4619	111	46	-	-	PUNCT
ejpam-4619	111	47	more	more	ADJ
ejpam-4619	111	48	method	method	NOUN
ejpam-4619	111	49	.	.	PUNCT
ejpam-4619	112	1	references	reference	NOUN
ejpam-4619	112	2	240	240	NUM
ejpam-4619	112	3	1	1	NUM
ejpam-4619	112	4	2	2	NUM
ejpam-4619	112	5	3	3	NUM
ejpam-4619	112	6	4	4	NUM
ejpam-4619	112	7	5	5	NUM
ejpam-4619	112	8	6	6	NUM
ejpam-4619	112	9	7	7	NUM
ejpam-4619	112	10	0	0	NUM
ejpam-4619	112	11	0.1	0.1	NUM
ejpam-4619	112	12	0.2	0.2	NUM
ejpam-4619	112	13	0.3	0.3	NUM
ejpam-4619	112	14	0.4	0.4	NUM
ejpam-4619	112	15	0.5	0.5	NUM
ejpam-4619	112	16	0.6	0.6	NUM
ejpam-4619	112	17	0.7	0.7	NUM
ejpam-4619	112	18	0.8	0.8	NUM
ejpam-4619	112	19	0.9	0.9	NUM
ejpam-4619	112	20	1	1	NUM
ejpam-4619	112	21	p	p	NOUN
ejpam-4619	112	22	e	e	NOUN
ejpam-4619	112	23	rf	rf	NOUN
ejpam-4619	112	24	o	o	PROPN
ejpam-4619	112	25	rm	rm	NOUN
ejpam-4619	112	26	a	a	PRON
ejpam-4619	112	27	n	n	NOUN
ejpam-4619	112	28	c	c	NOUN
ejpam-4619	112	29	e	e	NOUN
ejpam-4619	112	30	o	o	X
ejpam-4619	113	1	f	f	NOUN
ejpam-4619	113	2	t	t	PROPN
ejpam-4619	113	3	e	e	PROPN
ejpam-4619	113	4	p	p	PROPN
ejpam-4619	113	5	shr	shr	PROPN
ejpam-4619	113	6	hs	hs	PROPN
ejpam-4619	113	7	hz	hz	VERB
ejpam-4619	113	8	figure	figure	NOUN
ejpam-4619	113	9	3	3	NUM
ejpam-4619	113	10	:	:	PUNCT
ejpam-4619	113	11	the	the	DET
ejpam-4619	113	12	time	time	NOUN
ejpam-4619	113	13	it	it	PRON
ejpam-4619	113	14	takes	take	VERB
ejpam-4619	113	15	to	to	PART
ejpam-4619	113	16	execute	execute	VERB
ejpam-4619	113	17	for	for	ADP
ejpam-4619	113	18	the	the	DET
ejpam-4619	113	19	processor	processor	NOUN
ejpam-4619	113	20	(	(	PUNCT
ejpam-4619	113	21	tep	tep	PROPN
ejpam-4619	113	22	)	)	PUNCT
ejpam-4619	113	23	.	.	PUNCT
ejpam-4619	114	1	finally	finally	ADV
ejpam-4619	114	2	,	,	PUNCT
ejpam-4619	114	3	the	the	DET
ejpam-4619	114	4	figure	figure	NOUN
ejpam-4619	114	5	3	3	NUM
ejpam-4619	114	6	confirms	confirm	VERB
ejpam-4619	114	7	that	that	SCONJ
ejpam-4619	114	8	the	the	DET
ejpam-4619	114	9	new	new	ADJ
ejpam-4619	114	10	algorithm	algorithm	NOUN
ejpam-4619	114	11	(	(	PUNCT
ejpam-4619	114	12	shr	shr	PROPN
ejpam-4619	114	13	)	)	PUNCT
ejpam-4619	114	14	is	be	AUX
ejpam-4619	114	15	the	the	DET
ejpam-4619	114	16	most	most	ADV
ejpam-4619	114	17	efficient	efficient	ADJ
ejpam-4619	114	18	of	of	ADP
ejpam-4619	114	19	the	the	DET
ejpam-4619	114	20	basic	basic	ADJ
ejpam-4619	114	21	algorithms	algorithm	NOUN
ejpam-4619	114	22	compared	compare	VERB
ejpam-4619	114	23	with	with	ADP
ejpam-4619	114	24	it	it	PRON
ejpam-4619	114	25	within	within	ADP
ejpam-4619	114	26	the	the	DET
ejpam-4619	114	27	figure	figure	NOUN
ejpam-4619	114	28	in	in	ADP
ejpam-4619	114	29	relation	relation	NOUN
ejpam-4619	114	30	to	to	ADP
ejpam-4619	114	31	the	the	DET
ejpam-4619	114	32	time	time	NOUN
ejpam-4619	114	33	spent	spend	VERB
ejpam-4619	114	34	during	during	ADP
ejpam-4619	114	35	the	the	DET
ejpam-4619	114	36	implementation	implementation	NOUN
ejpam-4619	114	37	of	of	ADP
ejpam-4619	114	38	the	the	DET
ejpam-4619	114	39	mentioned	mention	VERB
ejpam-4619	114	40	algorithms	algorithm	NOUN
ejpam-4619	114	41	.	.	PUNCT
ejpam-4619	115	1	5	5	X
ejpam-4619	115	2	.	.	X
ejpam-4619	115	3	conclusions	conclusion	NOUN
ejpam-4619	115	4	this	this	PRON
ejpam-4619	115	5	may	may	AUX
ejpam-4619	115	6	be	be	AUX
ejpam-4619	115	7	considered	consider	VERB
ejpam-4619	115	8	a	a	DET
ejpam-4619	115	9	promising	promising	ADJ
ejpam-4619	115	10	aspect	aspect	NOUN
ejpam-4619	115	11	of	of	ADP
ejpam-4619	115	12	the	the	DET
ejpam-4619	115	13	derivations	derivation	NOUN
ejpam-4619	115	14	in	in	ADP
ejpam-4619	115	15	this	this	DET
ejpam-4619	115	16	manner	manner	NOUN
ejpam-4619	115	17	used	use	VERB
ejpam-4619	115	18	within	within	ADP
ejpam-4619	115	19	the	the	DET
ejpam-4619	115	20	paper	paper	NOUN
ejpam-4619	115	21	.	.	PUNCT
ejpam-4619	116	1	the	the	DET
ejpam-4619	116	2	numerical	numerical	ADJ
ejpam-4619	116	3	results	result	NOUN
ejpam-4619	116	4	in	in	ADP
ejpam-4619	116	5	the	the	DET
ejpam-4619	116	6	figures	figure	NOUN
ejpam-4619	116	7	presented	present	VERB
ejpam-4619	116	8	in	in	ADP
ejpam-4619	116	9	the	the	DET
ejpam-4619	116	10	previous	previous	ADJ
ejpam-4619	116	11	section	section	NOUN
ejpam-4619	116	12	show	show	VERB
ejpam-4619	116	13	the	the	DET
ejpam-4619	116	14	distinction	distinction	NOUN
ejpam-4619	116	15	and	and	CCONJ
ejpam-4619	116	16	efficiency	efficiency	NOUN
ejpam-4619	116	17	of	of	ADP
ejpam-4619	116	18	the	the	DET
ejpam-4619	116	19	new	new	ADJ
ejpam-4619	116	20	algorithm	algorithm	NOUN
ejpam-4619	116	21	(	(	PUNCT
ejpam-4619	116	22	shr	shr	PROPN
ejpam-4619	116	23	)	)	PUNCT
ejpam-4619	116	24	when	when	SCONJ
ejpam-4619	116	25	compared	compare	VERB
ejpam-4619	116	26	with	with	ADP
ejpam-4619	116	27	the	the	DET
ejpam-4619	116	28	previous	previous	ADJ
ejpam-4619	116	29	basic	basic	ADJ
ejpam-4619	116	30	algorithms	algorithm	NOUN
ejpam-4619	116	31	and	and	CCONJ
ejpam-4619	116	32	within	within	ADP
ejpam-4619	116	33	standard	standard	ADJ
ejpam-4619	116	34	functions	function	NOUN
ejpam-4619	116	35	for	for	ADP
ejpam-4619	116	36	this	this	DET
ejpam-4619	116	37	purpose	purpose	NOUN
ejpam-4619	116	38	.	.	PUNCT
ejpam-4619	117	1	also	also	ADV
ejpam-4619	117	2	,	,	PUNCT
ejpam-4619	117	3	for	for	ADP
ejpam-4619	117	4	the	the	DET
ejpam-4619	117	5	theoretical	theoretical	ADJ
ejpam-4619	117	6	side	side	NOUN
ejpam-4619	117	7	of	of	ADP
ejpam-4619	117	8	this	this	DET
ejpam-4619	117	9	proposed	propose	VERB
ejpam-4619	117	10	algorithm	algorithm	NOUN
ejpam-4619	117	11	,	,	PUNCT
ejpam-4619	117	12	we	we	PRON
ejpam-4619	117	13	have	have	AUX
ejpam-4619	117	14	achieved	achieve	VERB
ejpam-4619	117	15	sufficient	sufficient	ADJ
ejpam-4619	117	16	-	-	PUNCT
ejpam-4619	117	17	descent	descent	NOUN
ejpam-4619	117	18	and	and	CCONJ
ejpam-4619	117	19	its	its	PRON
ejpam-4619	117	20	global	global	ADJ
ejpam-4619	117	21	-	-	PUNCT
ejpam-4619	117	22	convergence	convergence	NOUN
ejpam-4619	117	23	within	within	ADP
ejpam-4619	117	24	some	some	DET
ejpam-4619	117	25	assumptions	assumption	NOUN
ejpam-4619	117	26	.	.	PUNCT
ejpam-4619	118	1	acknowledgements	acknowledgement	NOUN
ejpam-4619	118	2	the	the	DET
ejpam-4619	118	3	paper	paper	NOUN
ejpam-4619	118	4	is	be	AUX
ejpam-4619	118	5	supported	support	VERB
ejpam-4619	118	6	by	by	ADP
ejpam-4619	118	7	the	the	DET
ejpam-4619	118	8	college	college	NOUN
ejpam-4619	118	9	of	of	ADP
ejpam-4619	118	10	computer	computer	NOUN
ejpam-4619	118	11	science	science	NOUN
ejpam-4619	118	12	and	and	CCONJ
ejpam-4619	118	13	mathematics	mathematic	NOUN
ejpam-4619	118	14	and	and	CCONJ
ejpam-4619	118	15	the	the	DET
ejpam-4619	118	16	college	college	NOUN
ejpam-4619	118	17	of	of	ADP
ejpam-4619	118	18	basic	basic	ADJ
ejpam-4619	118	19	education	education	NOUN
ejpam-4619	118	20	at	at	ADP
ejpam-4619	118	21	the	the	DET
ejpam-4619	118	22	university	university	PROPN
ejpam-4619	118	23	of	of	ADP
ejpam-4619	118	24	mosul	mosul	PROPN
ejpam-4619	118	25	and	and	CCONJ
ejpam-4619	118	26	talafar	talafar	ADJ
ejpam-4619	118	27	university	university	NOUN
ejpam-4619	118	28	in	in	ADP
ejpam-4619	118	29	the	the	DET
ejpam-4619	118	30	republic	republic	NOUN
ejpam-4619	118	31	of	of	ADP
ejpam-4619	118	32	iraq	iraq	PROPN
ejpam-4619	118	33	.	.	PUNCT
ejpam-4619	119	1	references	reference	NOUN
ejpam-4619	119	2	[	[	X
ejpam-4619	119	3	1	1	NUM
ejpam-4619	119	4	]	]	PUNCT
ejpam-4619	119	5	h	h	NOUN
ejpam-4619	119	6	i	i	PRON
ejpam-4619	119	7	ahmed	ahme	VERB
ejpam-4619	119	8	,	,	PUNCT
ejpam-4619	119	9	r	r	PROPN
ejpam-4619	119	10	z	z	PROPN
ejpam-4619	119	11	al	al	PROPN
ejpam-4619	119	12	-	-	PUNCT
ejpam-4619	119	13	kawaz	kawaz	NOUN
ejpam-4619	119	14	,	,	PUNCT
ejpam-4619	119	15	and	and	CCONJ
ejpam-4619	119	16	a	a	DET
ejpam-4619	119	17	y	y	PROPN
ejpam-4619	119	18	al	al	PROPN
ejpam-4619	119	19	-	-	PUNCT
ejpam-4619	119	20	bayati	bayati	NOUN
ejpam-4619	119	21	.	.	PUNCT
ejpam-4619	120	1	spectral	spectral	ADJ
ejpam-4619	120	2	three	three	NUM
ejpam-4619	120	3	-	-	PUNCT
ejpam-4619	120	4	term	term	NOUN
ejpam-4619	120	5	constrained	constrain	VERB
ejpam-4619	120	6	conjugate	conjugate	ADJ
ejpam-4619	120	7	gradient	gradient	ADJ
ejpam-4619	120	8	algorithm	algorithm	NOUN
ejpam-4619	120	9	for	for	ADP
ejpam-4619	120	10	function	function	NOUN
ejpam-4619	120	11	minimizations	minimization	NOUN
ejpam-4619	120	12	.	.	PUNCT
ejpam-4619	121	1	journal	journal	NOUN
ejpam-4619	121	2	of	of	ADP
ejpam-4619	121	3	applied	apply	VERB
ejpam-4619	121	4	mathematics	mathematic	NOUN
ejpam-4619	121	5	,	,	PUNCT
ejpam-4619	121	6	2019	2019	NUM
ejpam-4619	121	7	,	,	PUNCT
ejpam-4619	121	8	2019	2019	NUM
ejpam-4619	121	9	.	.	PUNCT
ejpam-4619	122	1	[	[	X
ejpam-4619	122	2	2	2	NUM
ejpam-4619	122	3	]	]	PUNCT
ejpam-4619	122	4	h	h	NOUN
ejpam-4619	122	5	i	i	PRON
ejpam-4619	122	6	ahmed	ahme	VERB
ejpam-4619	122	7	and	and	CCONJ
ejpam-4619	122	8	gh	gh	PROPN
ejpam-4619	122	9	m	m	PROPN
ejpam-4619	122	10	al	al	PROPN
ejpam-4619	122	11	-	-	PUNCT
ejpam-4619	122	12	naemi	naemi	NOUN
ejpam-4619	122	13	.	.	PUNCT
ejpam-4619	123	1	a	a	DET
ejpam-4619	123	2	modified	modify	VERB
ejpam-4619	123	3	dai	dai	PROPN
ejpam-4619	123	4	-	-	PUNCT
ejpam-4619	123	5	yuan	yuan	PROPN
ejpam-4619	123	6	conjugate	conjugate	ADJ
ejpam-4619	123	7	gradient	gradient	NOUN
ejpam-4619	123	8	method	method	NOUN
ejpam-4619	123	9	and	and	CCONJ
ejpam-4619	123	10	its	its	PRON
ejpam-4619	123	11	global	global	ADJ
ejpam-4619	123	12	convergence	convergence	NOUN
ejpam-4619	123	13	.	.	PUNCT
ejpam-4619	124	1	iraqi	iraqi	ADJ
ejpam-4619	124	2	journal	journal	PROPN
ejpam-4619	124	3	of	of	ADP
ejpam-4619	124	4	science	science	NOUN
ejpam-4619	124	5	,	,	PUNCT
ejpam-4619	124	6	53(3):620–628	53(3):620–628	PROPN
ejpam-4619	124	7	,	,	PUNCT
ejpam-4619	124	8	2012	2012	NUM
ejpam-4619	124	9	.	.	PUNCT
ejpam-4619	125	1	[	[	X
ejpam-4619	125	2	3	3	X
ejpam-4619	125	3	]	]	X
ejpam-4619	125	4	h	h	NOUN
ejpam-4619	125	5	i	i	PRON
ejpam-4619	125	6	ahmed	ahme	VERB
ejpam-4619	125	7	,	,	PUNCT
ejpam-4619	125	8	e	e	PROPN
ejpam-4619	125	9	t	t	PROPN
ejpam-4619	125	10	hamed	ham	VERB
ejpam-4619	125	11	,	,	PUNCT
ejpam-4619	125	12	and	and	CCONJ
ejpam-4619	125	13	h	h	PROPN
ejpam-4619	125	14	th	th	PROPN
ejpam-4619	125	15	saeed	saeed	PROPN
ejpam-4619	125	16	chilmeran	chilmeran	PROPN
ejpam-4619	125	17	.	.	PUNCT
ejpam-4619	126	1	a	a	DET
ejpam-4619	126	2	modified	modify	VERB
ejpam-4619	126	3	bat	bat	NOUN
ejpam-4619	126	4	algorithm	algorithm	NOUN
ejpam-4619	126	5	with	with	ADP
ejpam-4619	126	6	conjugate	conjugate	ADJ
ejpam-4619	126	7	gradient	gradient	NOUN
ejpam-4619	126	8	method	method	NOUN
ejpam-4619	126	9	for	for	ADP
ejpam-4619	126	10	global	global	ADJ
ejpam-4619	126	11	optimization	optimization	NOUN
ejpam-4619	126	12	.	.	PUNCT
ejpam-4619	127	1	international	international	ADJ
ejpam-4619	127	2	journal	journal	PROPN
ejpam-4619	127	3	of	of	ADP
ejpam-4619	127	4	mathematics	mathematics	PROPN
ejpam-4619	127	5	and	and	CCONJ
ejpam-4619	127	6	mathematical	mathematical	ADJ
ejpam-4619	127	7	sciences	science	NOUN
ejpam-4619	127	8	,	,	PUNCT
ejpam-4619	127	9	2020	2020	NUM
ejpam-4619	127	10	,	,	PUNCT
ejpam-4619	127	11	2020	2020	NUM
ejpam-4619	127	12	.	.	PUNCT
ejpam-4619	128	1	references	reference	NOUN
ejpam-4619	128	2	241	241	NUM
ejpam-4619	129	1	[	[	X
ejpam-4619	129	2	4	4	NUM
ejpam-4619	129	3	]	]	PUNCT
ejpam-4619	129	4	a	a	DET
ejpam-4619	129	5	y	y	PROPN
ejpam-4619	129	6	al	al	PROPN
ejpam-4619	129	7	-	-	PUNCT
ejpam-4619	129	8	bayati	bayati	PROPN
ejpam-4619	129	9	and	and	CCONJ
ejpam-4619	129	10	m	m	PROPN
ejpam-4619	129	11	s	s	PROPN
ejpam-4619	129	12	al	al	PROPN
ejpam-4619	129	13	-	-	PUNCT
ejpam-4619	129	14	salih	salih	PROPN
ejpam-4619	129	15	.	.	PUNCT
ejpam-4619	130	1	new	new	PROPN
ejpam-4619	130	2	vm	vm	NOUN
ejpam-4619	130	3	-	-	NOUN
ejpam-4619	130	4	methods	method	NOUN
ejpam-4619	130	5	for	for	ADP
ejpam-4619	130	6	nonlinear	nonlinear	ADJ
ejpam-4619	130	7	unconstrained	unconstrained	ADJ
ejpam-4619	130	8	optimization	optimization	NOUN
ejpam-4619	130	9	.	.	PUNCT
ejpam-4619	131	1	journal	journal	PROPN
ejpam-4619	131	2	of	of	ADP
ejpam-4619	131	3	education	education	NOUN
ejpam-4619	131	4	and	and	CCONJ
ejpam-4619	131	5	science	science	NOUN
ejpam-4619	131	6	,	,	PUNCT
ejpam-4619	131	7	mosul	mosul	PROPN
ejpam-4619	131	8	university	university	PROPN
ejpam-4619	131	9	,	,	PUNCT
ejpam-4619	131	10	21:169–182	21:169–182	NUM
ejpam-4619	131	11	,	,	PUNCT
ejpam-4619	131	12	1994	1994	NUM
ejpam-4619	131	13	.	.	PUNCT
ejpam-4619	132	1	[	[	X
ejpam-4619	132	2	5	5	NUM
ejpam-4619	132	3	]	]	X
ejpam-4619	132	4	r	r	NOUN
ejpam-4619	132	5	z	z	PROPN
ejpam-4619	132	6	al	al	PROPN
ejpam-4619	132	7	-	-	PUNCT
ejpam-4619	132	8	kawaz	kawaz	PROPN
ejpam-4619	132	9	and	and	CCONJ
ejpam-4619	132	10	a	a	DET
ejpam-4619	132	11	y	y	PROPN
ejpam-4619	132	12	al	al	PROPN
ejpam-4619	132	13	-	-	PUNCT
ejpam-4619	132	14	bayati	bayati	NOUN
ejpam-4619	132	15	.	.	PUNCT
ejpam-4619	133	1	an	an	DET
ejpam-4619	133	2	adaptive	adaptive	ADJ
ejpam-4619	133	3	search	search	NOUN
ejpam-4619	133	4	direction	direction	NOUN
ejpam-4619	133	5	algorithm	algorithm	NOUN
ejpam-4619	133	6	for	for	ADP
ejpam-4619	133	7	the	the	DET
ejpam-4619	133	8	modified	modify	VERB
ejpam-4619	133	9	projection	projection	NOUN
ejpam-4619	133	10	minimization	minimization	NOUN
ejpam-4619	133	11	optimization	optimization	NOUN
ejpam-4619	133	12	.	.	PUNCT
ejpam-4619	134	1	in	in	ADP
ejpam-4619	134	2	iop	iop	PROPN
ejpam-4619	134	3	conference	conference	NOUN
ejpam-4619	134	4	series	series	NOUN
ejpam-4619	134	5	:	:	PUNCT
ejpam-4619	134	6	materials	material	NOUN
ejpam-4619	134	7	science	science	NOUN
ejpam-4619	134	8	and	and	CCONJ
ejpam-4619	134	9	engineering	engineering	NOUN
ejpam-4619	134	10	,	,	PUNCT
ejpam-4619	134	11	volume	volume	NOUN
ejpam-4619	134	12	1152	1152	NUM
ejpam-4619	134	13	,	,	PUNCT
ejpam-4619	134	14	page	page	NOUN
ejpam-4619	134	15	012019	012019	NUM
ejpam-4619	134	16	.	.	PUNCT
ejpam-4619	135	1	iop	iop	PROPN
ejpam-4619	135	2	publishing	publishing	NOUN
ejpam-4619	135	3	,	,	PUNCT
ejpam-4619	135	4	2021	2021	NUM
ejpam-4619	135	5	.	.	PUNCT
ejpam-4619	136	1	[	[	X
ejpam-4619	136	2	6	6	NUM
ejpam-4619	136	3	]	]	X
ejpam-4619	136	4	r	r	NOUN
ejpam-4619	136	5	z	z	PROPN
ejpam-4619	136	6	al	al	PROPN
ejpam-4619	136	7	-	-	PUNCT
ejpam-4619	136	8	kawaz	kawaz	PROPN
ejpam-4619	136	9	and	and	CCONJ
ejpam-4619	136	10	a	a	DET
ejpam-4619	136	11	y	y	PROPN
ejpam-4619	136	12	al	al	PROPN
ejpam-4619	136	13	-	-	PUNCT
ejpam-4619	136	14	bayati	bayati	NOUN
ejpam-4619	136	15	.	.	PUNCT
ejpam-4619	137	1	an	an	DET
ejpam-4619	137	2	effective	effective	ADJ
ejpam-4619	137	3	new	new	ADJ
ejpam-4619	137	4	iterative	iterative	NOUN
ejpam-4619	137	5	cg	cg	NOUN
ejpam-4619	137	6	-	-	PUNCT
ejpam-4619	137	7	method	method	NOUN
ejpam-4619	137	8	to	to	PART
ejpam-4619	137	9	solve	solve	VERB
ejpam-4619	137	10	unconstrained	unconstrained	ADJ
ejpam-4619	137	11	non	non	ADJ
ejpam-4619	137	12	-	-	ADJ
ejpam-4619	137	13	linear	linear	ADJ
ejpam-4619	137	14	optimization	optimization	NOUN
ejpam-4619	137	15	issues	issue	NOUN
ejpam-4619	137	16	.	.	PUNCT
ejpam-4619	138	1	telkomnika	telkomnika	NOUN
ejpam-4619	138	2	(	(	PUNCT
ejpam-4619	138	3	telecommunication	telecommunication	NOUN
ejpam-4619	138	4	computing	computing	NOUN
ejpam-4619	138	5	electronics	electronic	NOUN
ejpam-4619	138	6	and	and	CCONJ
ejpam-4619	138	7	control	control	NOUN
ejpam-4619	138	8	)	)	PUNCT
ejpam-4619	138	9	,	,	PUNCT
ejpam-4619	138	10	19(6):1847–1856	19(6):1847–1856	NUM
ejpam-4619	138	11	,	,	PUNCT
ejpam-4619	138	12	2021	2021	NUM
ejpam-4619	138	13	.	.	PUNCT
ejpam-4619	139	1	[	[	X
ejpam-4619	139	2	7	7	NUM
ejpam-4619	139	3	]	]	X
ejpam-4619	139	4	r	r	NOUN
ejpam-4619	139	5	z	z	PROPN
ejpam-4619	139	6	al	al	PROPN
ejpam-4619	139	7	-	-	PUNCT
ejpam-4619	139	8	kawaz	kawaz	PROPN
ejpam-4619	139	9	and	and	CCONJ
ejpam-4619	139	10	a	a	DET
ejpam-4619	139	11	y	y	PROPN
ejpam-4619	139	12	al	al	PROPN
ejpam-4619	139	13	-	-	PUNCT
ejpam-4619	139	14	bayati	bayati	NOUN
ejpam-4619	139	15	.	.	PUNCT
ejpam-4619	140	1	show	show	VERB
ejpam-4619	140	2	off	off	ADP
ejpam-4619	140	3	the	the	DET
ejpam-4619	140	4	efficiency	efficiency	NOUN
ejpam-4619	140	5	of	of	ADP
ejpam-4619	140	6	the	the	DET
ejpam-4619	140	7	dai	dai	PROPN
ejpam-4619	140	8	-	-	PUNCT
ejpam-4619	140	9	liao	liao	PROPN
ejpam-4619	140	10	method	method	NOUN
ejpam-4619	140	11	in	in	ADP
ejpam-4619	140	12	merging	merge	VERB
ejpam-4619	140	13	technology	technology	NOUN
ejpam-4619	140	14	for	for	ADP
ejpam-4619	140	15	monotonous	monotonous	ADJ
ejpam-4619	140	16	non	non	ADJ
ejpam-4619	140	17	-	-	ADJ
ejpam-4619	140	18	linear	linear	ADJ
ejpam-4619	140	19	problems	problem	NOUN
ejpam-4619	140	20	.	.	PUNCT
ejpam-4619	141	1	indonesian	indonesian	ADJ
ejpam-4619	141	2	journal	journal	PROPN
ejpam-4619	141	3	of	of	ADP
ejpam-4619	141	4	electrical	electrical	ADJ
ejpam-4619	141	5	engineering	engineering	NOUN
ejpam-4619	141	6	and	and	CCONJ
ejpam-4619	141	7	computer	computer	NOUN
ejpam-4619	141	8	sciences	science	NOUN
ejpam-4619	141	9	,	,	PUNCT
ejpam-4619	141	10	21(1):505–515	21(1):505–515	PROPN
ejpam-4619	141	11	,	,	PUNCT
ejpam-4619	141	12	2021	2021	NUM
ejpam-4619	141	13	.	.	PUNCT
ejpam-4619	142	1	[	[	X
ejpam-4619	142	2	8	8	NUM
ejpam-4619	142	3	]	]	X
ejpam-4619	142	4	r	r	NOUN
ejpam-4619	142	5	z	z	PROPN
ejpam-4619	142	6	al	al	PROPN
ejpam-4619	142	7	-	-	PUNCT
ejpam-4619	142	8	kawaz	kawaz	NOUN
ejpam-4619	142	9	,	,	PUNCT
ejpam-4619	142	10	a	a	DET
ejpam-4619	142	11	y	y	PROPN
ejpam-4619	142	12	al	al	PROPN
ejpam-4619	142	13	-	-	PUNCT
ejpam-4619	142	14	bayati	bayati	PROPN
ejpam-4619	142	15	,	,	PUNCT
ejpam-4619	142	16	and	and	CCONJ
ejpam-4619	142	17	m	m	PROPN
ejpam-4619	142	18	s	s	PROPN
ejpam-4619	142	19	jameel	jameel	X
ejpam-4619	142	20	.	.	PUNCT
ejpam-4619	143	1	interaction	interaction	NOUN
ejpam-4619	143	2	between	between	ADP
ejpam-4619	143	3	un	un	PROPN
ejpam-4619	143	4	updated	update	VERB
ejpam-4619	143	5	fr	fr	PROPN
ejpam-4619	143	6	-	-	PUNCT
ejpam-4619	143	7	cg	cg	NOUN
ejpam-4619	143	8	algorithms	algorithm	NOUN
ejpam-4619	143	9	with	with	ADP
ejpam-4619	143	10	an	an	DET
ejpam-4619	143	11	optimal	optimal	ADJ
ejpam-4619	143	12	cuckoo	cuckoo	NOUN
ejpam-4619	143	13	algorithm	algorithm	NOUN
ejpam-4619	143	14	.	.	PUNCT
ejpam-4619	144	1	indonesian	indonesian	ADJ
ejpam-4619	144	2	journal	journal	PROPN
ejpam-4619	144	3	of	of	ADP
ejpam-4619	144	4	electrical	electrical	ADJ
ejpam-4619	144	5	engineering	engineering	NOUN
ejpam-4619	144	6	and	and	CCONJ
ejpam-4619	144	7	computer	computer	NOUN
ejpam-4619	144	8	science	science	NOUN
ejpam-4619	144	9	,	,	PUNCT
ejpam-4619	144	10	19(3):1497–1504	19(3):1497–1504	NUM
ejpam-4619	144	11	,	,	PUNCT
ejpam-4619	144	12	2020	2020	NUM
ejpam-4619	144	13	.	.	PUNCT
ejpam-4619	145	1	[	[	X
ejpam-4619	145	2	9	9	NUM
ejpam-4619	145	3	]	]	PUNCT
ejpam-4619	145	4	n	n	PRON
ejpam-4619	145	5	andrei	andrei	NOUN
ejpam-4619	145	6	.	.	PUNCT
ejpam-4619	146	1	an	an	DET
ejpam-4619	146	2	unconstrained	unconstrained	ADJ
ejpam-4619	146	3	optimization	optimization	NOUN
ejpam-4619	146	4	test	test	NOUN
ejpam-4619	146	5	functions	function	NOUN
ejpam-4619	146	6	collection	collection	NOUN
ejpam-4619	146	7	.	.	PUNCT
ejpam-4619	147	1	adv	adv	PROPN
ejpam-4619	147	2	.	.	PUNCT
ejpam-4619	147	3	model	model	PROPN
ejpam-4619	147	4	.	.	PUNCT
ejpam-4619	148	1	optim	optim	ADJ
ejpam-4619	148	2	,	,	PUNCT
ejpam-4619	148	3	10(1):147–161	10(1):147–161	PROPN
ejpam-4619	148	4	,	,	PUNCT
ejpam-4619	148	5	2008	2008	NUM
ejpam-4619	148	6	.	.	PUNCT
ejpam-4619	149	1	[	[	X
ejpam-4619	149	2	10	10	NUM
ejpam-4619	149	3	]	]	PUNCT
ejpam-4619	149	4	n	n	PRON
ejpam-4619	149	5	andrei	andrei	NOUN
ejpam-4619	149	6	.	.	PUNCT
ejpam-4619	150	1	an	an	DET
ejpam-4619	150	2	adaptive	adaptive	ADJ
ejpam-4619	150	3	conjugate	conjugate	ADJ
ejpam-4619	150	4	gradient	gradient	ADJ
ejpam-4619	150	5	algorithm	algorithm	NOUN
ejpam-4619	150	6	for	for	ADP
ejpam-4619	150	7	large	large	ADJ
ejpam-4619	150	8	-	-	PUNCT
ejpam-4619	150	9	scale	scale	NOUN
ejpam-4619	150	10	unconstrained	unconstrained	ADJ
ejpam-4619	150	11	optimization	optimization	NOUN
ejpam-4619	150	12	.	.	PUNCT
ejpam-4619	151	1	journal	journal	PROPN
ejpam-4619	151	2	of	of	ADP
ejpam-4619	151	3	computational	computational	ADJ
ejpam-4619	151	4	and	and	CCONJ
ejpam-4619	151	5	applied	applied	ADJ
ejpam-4619	151	6	mathematics	mathematic	NOUN
ejpam-4619	151	7	,	,	PUNCT
ejpam-4619	151	8	292:83–91	292:83–91	NUM
ejpam-4619	151	9	,	,	PUNCT
ejpam-4619	151	10	2016	2016	NUM
ejpam-4619	151	11	.	.	PUNCT
ejpam-4619	152	1	[	[	X
ejpam-4619	152	2	11	11	NUM
ejpam-4619	152	3	]	]	X
ejpam-4619	152	4	h	h	NOUN
ejpam-4619	152	5	th	th	X
ejpam-4619	152	6	saeed	saeed	PROPN
ejpam-4619	152	7	chilmeran	chilmeran	PROPN
ejpam-4619	152	8	,	,	PUNCT
ejpam-4619	152	9	h	h	PROPN
ejpam-4619	152	10	i	i	PRON
ejpam-4619	152	11	ahmed	ahme	VERB
ejpam-4619	152	12	,	,	PUNCT
ejpam-4619	152	13	e	e	PROPN
ejpam-4619	152	14	t	t	PROPN
ejpam-4619	152	15	hamed	hamed	PROPN
ejpam-4619	152	16	,	,	PUNCT
ejpam-4619	152	17	and	and	CCONJ
ejpam-4619	152	18	a	a	DET
ejpam-4619	152	19	y	y	PROPN
ejpam-4619	152	20	al	al	PROPN
ejpam-4619	152	21	-	-	PUNCT
ejpam-4619	152	22	bayati	bayati	NOUN
ejpam-4619	152	23	.	.	PUNCT
ejpam-4619	153	1	a	a	DET
ejpam-4619	153	2	new	new	ADJ
ejpam-4619	153	3	modification	modification	NOUN
ejpam-4619	153	4	of	of	ADP
ejpam-4619	153	5	the	the	DET
ejpam-4619	153	6	quasi	quasi	NOUN
ejpam-4619	153	7	-	-	PROPN
ejpam-4619	153	8	newton	newton	PROPN
ejpam-4619	153	9	method	method	NOUN
ejpam-4619	153	10	for	for	ADP
ejpam-4619	153	11	unconstrained	unconstrained	ADJ
ejpam-4619	153	12	optimization	optimization	NOUN
ejpam-4619	153	13	.	.	PUNCT
ejpam-4619	154	1	indonesian	indonesian	ADJ
ejpam-4619	154	2	journal	journal	PROPN
ejpam-4619	154	3	of	of	ADP
ejpam-4619	154	4	electrical	electrical	ADJ
ejpam-4619	154	5	engineering	engineering	NOUN
ejpam-4619	154	6	and	and	CCONJ
ejpam-4619	154	7	computer	computer	NOUN
ejpam-4619	154	8	science	science	NOUN
ejpam-4619	154	9	,	,	PUNCT
ejpam-4619	154	10	21(3):1683–1691	21(3):1683–1691	NUM
ejpam-4619	154	11	,	,	PUNCT
ejpam-4619	154	12	2021	2021	NUM
ejpam-4619	154	13	.	.	PUNCT
ejpam-4619	155	1	[	[	X
ejpam-4619	155	2	12	12	NUM
ejpam-4619	155	3	]	]	X
ejpam-4619	155	4	h	h	NOUN
ejpam-4619	155	5	th	th	X
ejpam-4619	155	6	saeed	saeed	PROPN
ejpam-4619	155	7	chilmeran	chilmeran	PROPN
ejpam-4619	155	8	,	,	PUNCT
ejpam-4619	155	9	e	e	PROPN
ejpam-4619	155	10	t	t	PROPN
ejpam-4619	155	11	hamed	hamed	PROPN
ejpam-4619	155	12	,	,	PUNCT
ejpam-4619	155	13	h	h	PROPN
ejpam-4619	156	1	i	i	PRON
ejpam-4619	156	2	ahmed	ahme	VERB
ejpam-4619	156	3	,	,	PUNCT
ejpam-4619	156	4	and	and	CCONJ
ejpam-4619	156	5	a	a	DET
ejpam-4619	156	6	y	y	PROPN
ejpam-4619	156	7	al	al	PROPN
ejpam-4619	156	8	-	-	PUNCT
ejpam-4619	156	9	bayati	bayati	NOUN
ejpam-4619	156	10	.	.	PUNCT
ejpam-4619	157	1	a	a	DET
ejpam-4619	157	2	method	method	NOUN
ejpam-4619	157	3	of	of	ADP
ejpam-4619	157	4	two	two	NUM
ejpam-4619	157	5	new	new	ADJ
ejpam-4619	157	6	augmented	augment	VERB
ejpam-4619	157	7	lagrange	lagrange	NOUN
ejpam-4619	157	8	multiplier	multipli	ADJ
ejpam-4619	157	9	versions	version	NOUN
ejpam-4619	157	10	for	for	ADP
ejpam-4619	157	11	solving	solve	VERB
ejpam-4619	157	12	constrained	constrained	ADJ
ejpam-4619	157	13	problems	problem	NOUN
ejpam-4619	157	14	.	.	PUNCT
ejpam-4619	158	1	international	international	ADJ
ejpam-4619	158	2	journal	journal	PROPN
ejpam-4619	158	3	of	of	ADP
ejpam-4619	158	4	mathematics	mathematics	PROPN
ejpam-4619	158	5	and	and	CCONJ
ejpam-4619	158	6	mathematical	mathematical	ADJ
ejpam-4619	158	7	sciences	science	NOUN
ejpam-4619	158	8	,	,	PUNCT
ejpam-4619	158	9	2022	2022	NUM
ejpam-4619	158	10	,	,	PUNCT
ejpam-4619	158	11	2022	2022	NUM
ejpam-4619	158	12	.	.	PUNCT
ejpam-4619	159	1	[	[	X
ejpam-4619	159	2	13	13	NUM
ejpam-4619	159	3	]	]	SYM
ejpam-4619	159	4	h	h	NOUN
ejpam-4619	159	5	th	th	X
ejpam-4619	159	6	saeed	saeed	PROPN
ejpam-4619	159	7	chilmeran	chilmeran	PROPN
ejpam-4619	159	8	,	,	PUNCT
ejpam-4619	159	9	e	e	PROPN
ejpam-4619	159	10	s	s	PROPN
ejpam-4619	159	11	khaleel	khaleel	NOUN
ejpam-4619	159	12	,	,	PUNCT
ejpam-4619	159	13	h	h	NOUN
ejpam-4619	159	14	i	i	PRON
ejpam-4619	159	15	ahmed	ahme	VERB
ejpam-4619	159	16	,	,	PUNCT
ejpam-4619	159	17	and	and	CCONJ
ejpam-4619	159	18	e	e	PROPN
ejpam-4619	159	19	t	t	PROPN
ejpam-4619	159	20	hamed	hamed	PROPN
ejpam-4619	159	21	.	.	PUNCT
ejpam-4619	160	1	a	a	DET
ejpam-4619	160	2	modified	modify	VERB
ejpam-4619	160	3	sufficient	sufficient	ADJ
ejpam-4619	160	4	descent	descent	NOUN
ejpam-4619	160	5	spectral	spectral	ADJ
ejpam-4619	160	6	conjugate	conjugate	ADJ
ejpam-4619	160	7	gradient	gradient	NOUN
ejpam-4619	160	8	method	method	NOUN
ejpam-4619	160	9	for	for	ADP
ejpam-4619	160	10	minimization	minimization	NOUN
ejpam-4619	160	11	.	.	PUNCT
ejpam-4619	161	1	in	in	ADP
ejpam-4619	161	2	2021	2021	NUM
ejpam-4619	161	3	7th	7th	ADJ
ejpam-4619	161	4	international	international	ADJ
ejpam-4619	161	5	conference	conference	NOUN
ejpam-4619	161	6	on	on	ADP
ejpam-4619	161	7	contemporary	contemporary	ADJ
ejpam-4619	161	8	information	information	NOUN
ejpam-4619	161	9	technology	technology	NOUN
ejpam-4619	161	10	and	and	CCONJ
ejpam-4619	161	11	mathematics	mathematic	NOUN
ejpam-4619	161	12	(	(	PUNCT
ejpam-4619	161	13	iccitm	iccitm	ADJ
ejpam-4619	161	14	)	)	PUNCT
ejpam-4619	161	15	,	,	PUNCT
ejpam-4619	161	16	pages	page	VERB
ejpam-4619	161	17	239–242	239–242	NUM
ejpam-4619	161	18	.	.	PUNCT
ejpam-4619	162	1	ieee	ieee	NOUN
ejpam-4619	162	2	,	,	PUNCT
ejpam-4619	162	3	2021	2021	NUM
ejpam-4619	162	4	.	.	PUNCT
ejpam-4619	163	1	[	[	X
ejpam-4619	163	2	14	14	NUM
ejpam-4619	163	3	]	]	X
ejpam-4619	163	4	h	h	NOUN
ejpam-4619	163	5	th	th	X
ejpam-4619	163	6	saeed	saeed	PROPN
ejpam-4619	163	7	chilmeran	chilmeran	PROPN
ejpam-4619	163	8	and	and	CCONJ
ejpam-4619	163	9	h	h	NOUN
ejpam-4619	163	10	y	y	PROPN
ejpam-4619	163	11	najem	najem	PROPN
ejpam-4619	163	12	.	.	PUNCT
ejpam-4619	164	1	new	new	ADJ
ejpam-4619	164	2	conjugacy	conjugacy	PROPN
ejpam-4619	164	3	coefficient	coefficient	NOUN
ejpam-4619	164	4	for	for	ADP
ejpam-4619	164	5	conjugate	conjugate	ADJ
ejpam-4619	164	6	gradient	gradient	NOUN
ejpam-4619	164	7	method	method	NOUN
ejpam-4619	164	8	for	for	ADP
ejpam-4619	164	9	unconstrained	unconstrained	ADJ
ejpam-4619	164	10	optimization	optimization	NOUN
ejpam-4619	164	11	.	.	PUNCT
ejpam-4619	165	1	al	al	PROPN
ejpam-4619	165	2	-	-	PUNCT
ejpam-4619	165	3	rafidain	rafidain	PROPN
ejpam-4619	165	4	journal	journal	NOUN
ejpam-4619	165	5	of	of	ADP
ejpam-4619	165	6	computer	computer	NOUN
ejpam-4619	165	7	sciences	science	NOUN
ejpam-4619	165	8	and	and	CCONJ
ejpam-4619	165	9	mathematics	mathematic	NOUN
ejpam-4619	165	10	,	,	PUNCT
ejpam-4619	165	11	10(2):33–46	10(2):33–46	NUM
ejpam-4619	165	12	,	,	PUNCT
ejpam-4619	165	13	2013	2013	NUM
ejpam-4619	165	14	.	.	PUNCT
ejpam-4619	166	1	[	[	X
ejpam-4619	166	2	15	15	NUM
ejpam-4619	166	3	]	]	X
ejpam-4619	166	4	y	y	PROPN
ejpam-4619	166	5	h	h	PROPN
ejpam-4619	166	6	dai	dai	PROPN
ejpam-4619	166	7	and	and	CCONJ
ejpam-4619	166	8	y	y	PROPN
ejpam-4619	166	9	yuan	yuan	PROPN
ejpam-4619	166	10	.	.	PUNCT
ejpam-4619	167	1	a	a	DET
ejpam-4619	167	2	nonlinear	nonlinear	ADJ
ejpam-4619	167	3	conjugate	conjugate	ADJ
ejpam-4619	167	4	gradient	gradient	NOUN
ejpam-4619	167	5	method	method	NOUN
ejpam-4619	167	6	with	with	ADP
ejpam-4619	167	7	a	a	DET
ejpam-4619	167	8	strong	strong	ADJ
ejpam-4619	167	9	global	global	ADJ
ejpam-4619	167	10	convergence	convergence	NOUN
ejpam-4619	167	11	property	property	NOUN
ejpam-4619	167	12	.	.	PUNCT
ejpam-4619	168	1	siam	siam	PROPN
ejpam-4619	168	2	journal	journal	PROPN
ejpam-4619	168	3	on	on	ADP
ejpam-4619	168	4	optimization	optimization	NOUN
ejpam-4619	168	5	,	,	PUNCT
ejpam-4619	168	6	10(1):177–182	10(1):177–182	NUM
ejpam-4619	168	7	,	,	PUNCT
ejpam-4619	168	8	1999	1999	NUM
ejpam-4619	168	9	.	.	PUNCT
ejpam-4619	169	1	[	[	X
ejpam-4619	169	2	16	16	NUM
ejpam-4619	169	3	]	]	X
ejpam-4619	169	4	e	e	PROPN
ejpam-4619	169	5	d	d	X
ejpam-4619	169	6	dolan	dolan	PROPN
ejpam-4619	169	7	and	and	CCONJ
ejpam-4619	169	8	j	j	PROPN
ejpam-4619	169	9	j	j	PROPN
ejpam-4619	169	10	moré.	moré.	PROPN
ejpam-4619	169	11	benchmarking	benchmarke	VERB
ejpam-4619	169	12	optimization	optimization	NOUN
ejpam-4619	169	13	software	software	NOUN
ejpam-4619	169	14	with	with	ADP
ejpam-4619	169	15	performance	performance	NOUN
ejpam-4619	169	16	profiles	profile	NOUN
ejpam-4619	169	17	.	.	PUNCT
ejpam-4619	170	1	mathematical	mathematical	ADJ
ejpam-4619	170	2	programming	programming	NOUN
ejpam-4619	170	3	,	,	PUNCT
ejpam-4619	170	4	91(2):201–213	91(2):201–213	PROPN
ejpam-4619	170	5	,	,	PUNCT
ejpam-4619	170	6	2002	2002	NUM
ejpam-4619	170	7	.	.	PUNCT
ejpam-4619	171	1	references	reference	NOUN
ejpam-4619	171	2	242	242	NUM
ejpam-4619	172	1	[	[	X
ejpam-4619	172	2	17	17	NUM
ejpam-4619	172	3	]	]	X
ejpam-4619	172	4	r	r	NOUN
ejpam-4619	172	5	fletcher	fletcher	NOUN
ejpam-4619	172	6	and	and	CCONJ
ejpam-4619	172	7	c	c	PROPN
ejpam-4619	172	8	m	m	PROPN
ejpam-4619	172	9	reeves	reeves	PROPN
ejpam-4619	172	10	.	.	PUNCT
ejpam-4619	173	1	function	function	NOUN
ejpam-4619	173	2	minimization	minimization	NOUN
ejpam-4619	173	3	by	by	ADP
ejpam-4619	173	4	conjugate	conjugate	ADJ
ejpam-4619	173	5	gradients	gradient	NOUN
ejpam-4619	173	6	.	.	PUNCT
ejpam-4619	174	1	the	the	DET
ejpam-4619	174	2	computer	computer	NOUN
ejpam-4619	174	3	journal	journal	NOUN
ejpam-4619	174	4	,	,	PUNCT
ejpam-4619	174	5	7(2):149–154	7(2):149–154	NUM
ejpam-4619	174	6	,	,	PUNCT
ejpam-4619	174	7	1964	1964	NUM
ejpam-4619	174	8	.	.	PUNCT
ejpam-4619	175	1	[	[	X
ejpam-4619	175	2	18	18	NUM
ejpam-4619	175	3	]	]	X
ejpam-4619	175	4	w	w	PROPN
ejpam-4619	175	5	w	w	PROPN
ejpam-4619	175	6	hager	hager	NOUN
ejpam-4619	175	7	and	and	CCONJ
ejpam-4619	175	8	h	h	PROPN
ejpam-4619	175	9	zhang	zhang	PROPN
ejpam-4619	175	10	.	.	PUNCT
ejpam-4619	176	1	a	a	DET
ejpam-4619	176	2	new	new	ADJ
ejpam-4619	176	3	conjugate	conjugate	ADJ
ejpam-4619	176	4	gradient	gradient	NOUN
ejpam-4619	176	5	method	method	NOUN
ejpam-4619	176	6	with	with	ADP
ejpam-4619	176	7	guaranteed	guarantee	VERB
ejpam-4619	176	8	descent	descent	NOUN
ejpam-4619	176	9	and	and	CCONJ
ejpam-4619	176	10	an	an	DET
ejpam-4619	176	11	efficient	efficient	ADJ
ejpam-4619	176	12	line	line	NOUN
ejpam-4619	176	13	search	search	NOUN
ejpam-4619	176	14	.	.	PUNCT
ejpam-4619	177	1	siam	siam	PROPN
ejpam-4619	177	2	journal	journal	PROPN
ejpam-4619	177	3	on	on	ADP
ejpam-4619	177	4	optimization	optimization	NOUN
ejpam-4619	177	5	,	,	PUNCT
ejpam-4619	177	6	16(1):170–192	16(1):170–192	NUM
ejpam-4619	177	7	,	,	PUNCT
ejpam-4619	177	8	2005	2005	NUM
ejpam-4619	177	9	.	.	PUNCT
ejpam-4619	178	1	[	[	X
ejpam-4619	178	2	19	19	NUM
ejpam-4619	178	3	]	]	PUNCT
ejpam-4619	178	4	e	e	PROPN
ejpam-4619	178	5	t	t	PROPN
ejpam-4619	178	6	hamed	hamed	PROPN
ejpam-4619	178	7	,	,	PUNCT
ejpam-4619	178	8	r	r	PROPN
ejpam-4619	178	9	z	z	PROPN
ejpam-4619	178	10	al	al	PROPN
ejpam-4619	178	11	-	-	PUNCT
ejpam-4619	178	12	kawaz	kawaz	NOUN
ejpam-4619	178	13	,	,	PUNCT
ejpam-4619	178	14	and	and	CCONJ
ejpam-4619	178	15	a	a	DET
ejpam-4619	178	16	y	y	PROPN
ejpam-4619	178	17	al	al	PROPN
ejpam-4619	178	18	-	-	PUNCT
ejpam-4619	178	19	bayati	bayati	NOUN
ejpam-4619	178	20	.	.	PUNCT
ejpam-4619	179	1	new	new	ADJ
ejpam-4619	179	2	investigation	investigation	NOUN
ejpam-4619	179	3	for	for	ADP
ejpam-4619	179	4	the	the	DET
ejpam-4619	179	5	liu	liu	PROPN
ejpam-4619	179	6	-	-	PUNCT
ejpam-4619	179	7	story	story	NOUN
ejpam-4619	179	8	scaled	scale	VERB
ejpam-4619	179	9	conjugate	conjugate	ADJ
ejpam-4619	179	10	gradient	gradient	NOUN
ejpam-4619	179	11	method	method	NOUN
ejpam-4619	179	12	for	for	ADP
ejpam-4619	179	13	nonlinear	nonlinear	ADJ
ejpam-4619	179	14	optimization	optimization	NOUN
ejpam-4619	179	15	.	.	PUNCT
ejpam-4619	180	1	journal	journal	NOUN
ejpam-4619	180	2	of	of	ADP
ejpam-4619	180	3	mathematics	mathematic	NOUN
ejpam-4619	180	4	,	,	PUNCT
ejpam-4619	180	5	2020	2020	NUM
ejpam-4619	180	6	,	,	PUNCT
ejpam-4619	180	7	2020	2020	NUM
ejpam-4619	180	8	.	.	PUNCT
ejpam-4619	181	1	[	[	X
ejpam-4619	181	2	20	20	NUM
ejpam-4619	181	3	]	]	PUNCT
ejpam-4619	181	4	m	m	VERB
ejpam-4619	181	5	hamoda	hamoda	NOUN
ejpam-4619	181	6	,	,	PUNCT
ejpam-4619	181	7	m	m	PROPN
ejpam-4619	181	8	mamat	mamat	NOUN
ejpam-4619	181	9	,	,	PUNCT
ejpam-4619	181	10	m	m	PROPN
ejpam-4619	181	11	rivaie	rivaie	NOUN
ejpam-4619	181	12	,	,	PUNCT
ejpam-4619	181	13	and	and	CCONJ
ejpam-4619	181	14	z	z	PROPN
ejpam-4619	181	15	salleh	salleh	PROPN
ejpam-4619	181	16	.	.	PUNCT
ejpam-4619	182	1	a	a	DET
ejpam-4619	182	2	conjugate	conjugate	ADJ
ejpam-4619	182	3	gradient	gradient	NOUN
ejpam-4619	182	4	method	method	NOUN
ejpam-4619	182	5	with	with	ADP
ejpam-4619	182	6	strong	strong	ADJ
ejpam-4619	182	7	wolfe	wolfe	PROPN
ejpam-4619	182	8	-	-	PUNCT
ejpam-4619	182	9	powell	powell	PROPN
ejpam-4619	182	10	line	line	NOUN
ejpam-4619	182	11	search	search	NOUN
ejpam-4619	182	12	for	for	ADP
ejpam-4619	182	13	unconstrained	unconstrained	ADJ
ejpam-4619	182	14	optimization	optimization	NOUN
ejpam-4619	182	15	.	.	PUNCT
ejpam-4619	183	1	appl	appl	PROPN
ejpam-4619	183	2	.	.	PROPN
ejpam-4619	183	3	math	math	PROPN
ejpam-4619	183	4	.	.	PUNCT
ejpam-4619	184	1	sci	sci	PROPN
ejpam-4619	184	2	,	,	PUNCT
ejpam-4619	184	3	10:721–734	10:721–734	NUM
ejpam-4619	184	4	,	,	PUNCT
ejpam-4619	184	5	2016	2016	NUM
ejpam-4619	184	6	.	.	PUNCT
ejpam-4619	185	1	[	[	X
ejpam-4619	185	2	21	21	NUM
ejpam-4619	185	3	]	]	X
ejpam-4619	185	4	m	m	VERB
ejpam-4619	185	5	r	r	NOUN
ejpam-4619	185	6	hestenes	hestene	NOUN
ejpam-4619	185	7	and	and	CCONJ
ejpam-4619	185	8	e	e	NOUN
ejpam-4619	185	9	stiefel	stiefel	NOUN
ejpam-4619	185	10	.	.	PUNCT
ejpam-4619	186	1	methods	method	NOUN
ejpam-4619	186	2	of	of	ADP
ejpam-4619	186	3	conjugate	conjugate	ADJ
ejpam-4619	186	4	gradients	gradient	NOUN
ejpam-4619	186	5	for	for	ADP
ejpam-4619	186	6	solving	solve	VERB
ejpam-4619	186	7	.	.	PUNCT
ejpam-4619	187	1	journal	journal	PROPN
ejpam-4619	187	2	of	of	ADP
ejpam-4619	187	3	research	research	NOUN
ejpam-4619	187	4	of	of	ADP
ejpam-4619	187	5	the	the	DET
ejpam-4619	187	6	national	national	PROPN
ejpam-4619	187	7	bureau	bureau	PROPN
ejpam-4619	187	8	of	of	ADP
ejpam-4619	187	9	standards	standard	NOUN
ejpam-4619	187	10	,	,	PUNCT
ejpam-4619	187	11	49(6):409	49(6):409	NUM
ejpam-4619	187	12	,	,	PUNCT
ejpam-4619	187	13	1952	1952	NUM
ejpam-4619	187	14	.	.	PUNCT
ejpam-4619	188	1	[	[	X
ejpam-4619	188	2	22	22	NUM
ejpam-4619	188	3	]	]	X
ejpam-4619	188	4	z	z	PROPN
ejpam-4619	188	5	wei	wei	PROPN
ejpam-4619	188	6	,	,	PUNCT
ejpam-4619	188	7	g	g	PROPN
ejpam-4619	188	8	yu	yu	PROPN
ejpam-4619	188	9	,	,	PUNCT
ejpam-4619	188	10	g	g	PROPN
ejpam-4619	188	11	yuan	yuan	NOUN
ejpam-4619	188	12	,	,	PUNCT
ejpam-4619	188	13	and	and	CCONJ
ejpam-4619	188	14	z	z	PROPN
ejpam-4619	188	15	lian	lian	PROPN
ejpam-4619	188	16	.	.	PUNCT
ejpam-4619	189	1	the	the	DET
ejpam-4619	189	2	superlinear	superlinear	ADJ
ejpam-4619	189	3	convergence	convergence	NOUN
ejpam-4619	189	4	of	of	ADP
ejpam-4619	189	5	a	a	DET
ejpam-4619	189	6	modified	modify	VERB
ejpam-4619	189	7	bfgs	bfgs	ADJ
ejpam-4619	189	8	-	-	PUNCT
ejpam-4619	189	9	type	type	NOUN
ejpam-4619	189	10	method	method	NOUN
ejpam-4619	189	11	for	for	ADP
ejpam-4619	189	12	unconstrained	unconstrained	ADJ
ejpam-4619	189	13	optimization	optimization	NOUN
ejpam-4619	189	14	.	.	PUNCT
ejpam-4619	190	1	computational	computational	ADJ
ejpam-4619	190	2	optimization	optimization	NOUN
ejpam-4619	190	3	and	and	CCONJ
ejpam-4619	190	4	applications	application	NOUN
ejpam-4619	190	5	,	,	PUNCT
ejpam-4619	190	6	29(3):315–332	29(3):315–332	NUM
ejpam-4619	190	7	,	,	PUNCT
ejpam-4619	190	8	2004	2004	NUM
ejpam-4619	190	9	.	.	PUNCT