id	sid	tid	token	lemma	pos
ejpam-4437	1	1	european	european	PROPN
ejpam-4437	1	2	journal	journal	PROPN
ejpam-4437	1	3	of	of	ADP
ejpam-4437	1	4	pure	pure	ADJ
ejpam-4437	1	5	and	and	CCONJ
ejpam-4437	1	6	applied	apply	VERB
ejpam-4437	1	7	mathematics	mathematic	NOUN
ejpam-4437	1	8	vol	vol	NOUN
ejpam-4437	1	9	.	.	PROPN
ejpam-4437	2	1	15	15	NUM
ejpam-4437	2	2	,	,	PUNCT
ejpam-4437	2	3	no	no	INTJ
ejpam-4437	2	4	.	.	NOUN
ejpam-4437	2	5	3	3	NUM
ejpam-4437	2	6	,	,	PUNCT
ejpam-4437	2	7	2022	2022	NUM
ejpam-4437	2	8	,	,	PUNCT
ejpam-4437	2	9	1254	1254	NUM
ejpam-4437	2	10	-	-	SYM
ejpam-4437	2	11	1264	1264	NUM
ejpam-4437	2	12	issn	issn	PROPN
ejpam-4437	2	13	1307	1307	NUM
ejpam-4437	2	14	-	-	SYM
ejpam-4437	2	15	5543	5543	NUM
ejpam-4437	2	16	–	–	PUNCT
ejpam-4437	3	1	ejpam.com	ejpam.com	X
ejpam-4437	3	2	published	publish	VERB
ejpam-4437	3	3	by	by	ADP
ejpam-4437	3	4	new	new	PROPN
ejpam-4437	3	5	york	york	PROPN
ejpam-4437	3	6	business	business	PROPN
ejpam-4437	3	7	global	global	PROPN
ejpam-4437	3	8	a	a	DET
ejpam-4437	3	9	sufficient	sufficient	ADJ
ejpam-4437	3	10	descent	descent	NOUN
ejpam-4437	3	11	property	property	NOUN
ejpam-4437	3	12	to	to	ADP
ejpam-4437	3	13	improving	improve	VERB
ejpam-4437	3	14	a	a	DET
ejpam-4437	3	15	three	three	NUM
ejpam-4437	3	16	-	-	PUNCT
ejpam-4437	3	17	term	term	NOUN
ejpam-4437	3	18	conjugate	conjugate	ADJ
ejpam-4437	3	19	gradient	gradient	ADJ
ejpam-4437	3	20	algorithm	algorithm	NOUN
ejpam-4437	3	21	ghada	ghada	PROPN
ejpam-4437	3	22	m.	m.	PROPN
ejpam-4437	3	23	al	al	PROPN
ejpam-4437	3	24	-	-	PUNCT
ejpam-4437	3	25	naemi1,∗	naemi1,∗	PROPN
ejpam-4437	3	26	,	,	PUNCT
ejpam-4437	3	27	firas	firas	PROPN
ejpam-4437	3	28	mahmood	mahmood	PROPN
ejpam-4437	3	29	saeed2	saeed2	NOUN
ejpam-4437	3	30	1	1	NUM
ejpam-4437	3	31	department	department	NOUN
ejpam-4437	3	32	of	of	ADP
ejpam-4437	3	33	mathematics	mathematic	NOUN
ejpam-4437	3	34	,	,	PUNCT
ejpam-4437	3	35	faculty	faculty	NOUN
ejpam-4437	3	36	of	of	ADP
ejpam-4437	3	37	computer	computer	NOUN
ejpam-4437	3	38	science	science	NOUN
ejpam-4437	3	39	and	and	CCONJ
ejpam-4437	3	40	mathematics	mathematic	NOUN
ejpam-4437	3	41	,	,	PUNCT
ejpam-4437	3	42	university	university	NOUN
ejpam-4437	3	43	of	of	ADP
ejpam-4437	3	44	mosul	mosul	PROPN
ejpam-4437	3	45	,	,	PUNCT
ejpam-4437	3	46	mosul	mosul	PROPN
ejpam-4437	3	47	,	,	PUNCT
ejpam-4437	3	48	nineveh	nineveh	PROPN
ejpam-4437	3	49	,	,	PUNCT
ejpam-4437	3	50	iraq	iraq	PROPN
ejpam-4437	3	51	2	2	NUM
ejpam-4437	3	52	department	department	NOUN
ejpam-4437	3	53	of	of	ADP
ejpam-4437	3	54	family	family	NOUN
ejpam-4437	3	55	medicine	medicine	NOUN
ejpam-4437	3	56	,	,	PUNCT
ejpam-4437	3	57	college	college	NOUN
ejpam-4437	3	58	of	of	ADP
ejpam-4437	3	59	medicine	medicine	NOUN
ejpam-4437	3	60	,	,	PUNCT
ejpam-4437	3	61	university	university	NOUN
ejpam-4437	3	62	of	of	ADP
ejpam-4437	3	63	mosul	mosul	PROPN
ejpam-4437	3	64	,	,	PUNCT
ejpam-4437	3	65	mosul	mosul	PROPN
ejpam-4437	3	66	,	,	PUNCT
ejpam-4437	3	67	nineveh	nineveh	PROPN
ejpam-4437	3	68	,	,	PUNCT
ejpam-4437	3	69	iraq	iraq	PROPN
ejpam-4437	3	70	abstract	abstract	NOUN
ejpam-4437	3	71	.	.	PUNCT
ejpam-4437	4	1	the	the	DET
ejpam-4437	4	2	nonlinear	nonlinear	ADJ
ejpam-4437	4	3	conjugate	conjugate	ADJ
ejpam-4437	4	4	gradient	gradient	NOUN
ejpam-4437	4	5	(	(	PUNCT
ejpam-4437	4	6	nlcgm	nlcgm	NOUN
ejpam-4437	4	7	)	)	PUNCT
ejpam-4437	4	8	methods	method	NOUN
ejpam-4437	4	9	have	have	AUX
ejpam-4437	4	10	received	receive	VERB
ejpam-4437	4	11	attention	attention	NOUN
ejpam-4437	4	12	because	because	SCONJ
ejpam-4437	4	13	due	due	ADP
ejpam-4437	4	14	to	to	ADP
ejpam-4437	4	15	their	their	PRON
ejpam-4437	4	16	simplicity	simplicity	NOUN
ejpam-4437	4	17	,	,	PUNCT
ejpam-4437	4	18	low	low	ADJ
ejpam-4437	4	19	memory	memory	NOUN
ejpam-4437	4	20	requirements	requirement	NOUN
ejpam-4437	4	21	,	,	PUNCT
ejpam-4437	4	22	and	and	CCONJ
ejpam-4437	4	23	global	global	ADJ
ejpam-4437	4	24	convergent	convergent	NOUN
ejpam-4437	4	25	property	property	NOUN
ejpam-4437	4	26	,	,	PUNCT
ejpam-4437	4	27	which	which	PRON
ejpam-4437	4	28	allows	allow	VERB
ejpam-4437	4	29	them	they	PRON
ejpam-4437	4	30	to	to	PART
ejpam-4437	4	31	be	be	AUX
ejpam-4437	4	32	used	use	VERB
ejpam-4437	4	33	directly	directly	ADV
ejpam-4437	4	34	to	to	PART
ejpam-4437	4	35	solve	solve	VERB
ejpam-4437	4	36	large	large	ADJ
ejpam-4437	4	37	-	-	PUNCT
ejpam-4437	4	38	scale	scale	NOUN
ejpam-4437	4	39	nonlinear	nonlinear	ADJ
ejpam-4437	4	40	unconstrained	unconstrained	ADJ
ejpam-4437	4	41	optimization	optimization	NOUN
ejpam-4437	4	42	problems	problem	NOUN
ejpam-4437	4	43	.	.	PUNCT
ejpam-4437	5	1	we	we	PRON
ejpam-4437	5	2	suggested	suggest	VERB
ejpam-4437	5	3	a	a	DET
ejpam-4437	5	4	modification	modification	NOUN
ejpam-4437	5	5	to	to	ADP
ejpam-4437	5	6	the	the	DET
ejpam-4437	5	7	βkmar	βkmar	PROPN
ejpam-4437	5	8	k	k	PROPN
ejpam-4437	5	9	formula	formula	NOUN
ejpam-4437	5	10	,	,	PUNCT
ejpam-4437	5	11	applied	apply	VERB
ejpam-4437	5	12	with	with	ADP
ejpam-4437	5	13	three	three	NUM
ejpam-4437	5	14	-	-	PUNCT
ejpam-4437	5	15	term	term	NOUN
ejpam-4437	5	16	conjugate	conjugate	ADJ
ejpam-4437	5	17	gradient	gradient	NOUN
ejpam-4437	5	18	method	method	NOUN
ejpam-4437	5	19	that	that	PRON
ejpam-4437	5	20	is	be	AUX
ejpam-4437	5	21	both	both	PRON
ejpam-4437	5	22	simple	simple	ADJ
ejpam-4437	5	23	and	and	CCONJ
ejpam-4437	5	24	effective	effective	ADJ
ejpam-4437	5	25	,	,	PUNCT
ejpam-4437	5	26	denoted	denote	VERB
ejpam-4437	5	27	by	by	ADP
ejpam-4437	5	28	(	(	PUNCT
ejpam-4437	5	29	ttkmar	ttkmar	NOUN
ejpam-4437	5	30	)	)	PUNCT
ejpam-4437	5	31	,	,	PUNCT
ejpam-4437	5	32	which	which	PRON
ejpam-4437	5	33	has	have	VERB
ejpam-4437	5	34	a	a	DET
ejpam-4437	5	35	sufficient	sufficient	ADJ
ejpam-4437	5	36	descent	descent	NOUN
ejpam-4437	5	37	property	property	NOUN
ejpam-4437	5	38	(	(	PUNCT
ejpam-4437	5	39	sdp	sdp	NOUN
ejpam-4437	5	40	)	)	PUNCT
ejpam-4437	5	41	and	and	CCONJ
ejpam-4437	5	42	ensures	ensure	VERB
ejpam-4437	5	43	global	global	ADJ
ejpam-4437	5	44	convergence	convergence	NOUN
ejpam-4437	5	45	(	(	PUNCT
ejpam-4437	5	46	gcp	gcp	NOUN
ejpam-4437	5	47	)	)	PUNCT
ejpam-4437	5	48	when	when	SCONJ
ejpam-4437	5	49	we	we	PRON
ejpam-4437	5	50	use	use	VERB
ejpam-4437	5	51	any	any	DET
ejpam-4437	5	52	line	line	NOUN
ejpam-4437	5	53	search	search	NOUN
ejpam-4437	5	54	.	.	PUNCT
ejpam-4437	6	1	the	the	DET
ejpam-4437	6	2	numerical	numerical	ADJ
ejpam-4437	6	3	efficiency	efficiency	NOUN
ejpam-4437	6	4	of	of	ADP
ejpam-4437	6	5	ttkmar	ttkmar	PROPN
ejpam-4437	6	6	was	be	AUX
ejpam-4437	6	7	assessed	assess	VERB
ejpam-4437	6	8	using	use	VERB
ejpam-4437	6	9	a	a	DET
ejpam-4437	6	10	variety	variety	NOUN
ejpam-4437	6	11	of	of	ADP
ejpam-4437	6	12	standard	standard	ADJ
ejpam-4437	6	13	test	test	NOUN
ejpam-4437	6	14	functions	function	NOUN
ejpam-4437	6	15	.	.	PUNCT
ejpam-4437	7	1	ttcgm	ttcgm	PROPN
ejpam-4437	7	2	has	have	AUX
ejpam-4437	7	3	been	be	AUX
ejpam-4437	7	4	demonstrated	demonstrate	VERB
ejpam-4437	7	5	to	to	PART
ejpam-4437	7	6	be	be	AUX
ejpam-4437	7	7	more	more	ADV
ejpam-4437	7	8	numerically	numerically	ADV
ejpam-4437	7	9	efficient	efficient	ADJ
ejpam-4437	7	10	than	than	ADP
ejpam-4437	7	11	two	two	NUM
ejpam-4437	7	12	-	-	PUNCT
ejpam-4437	7	13	term	term	NOUN
ejpam-4437	7	14	cg	cg	NOUN
ejpam-4437	7	15	methods	method	NOUN
ejpam-4437	7	16	.	.	PUNCT
ejpam-4437	8	1	this	this	DET
ejpam-4437	8	2	paper	paper	NOUN
ejpam-4437	8	3	also	also	ADV
ejpam-4437	8	4	quantifies	quantify	VERB
ejpam-4437	8	5	the	the	DET
ejpam-4437	8	6	difference	difference	NOUN
ejpam-4437	8	7	between	between	ADP
ejpam-4437	8	8	ttcgm	ttcgm	PROPN
ejpam-4437	8	9	and	and	CCONJ
ejpam-4437	8	10	two	two	NUM
ejpam-4437	8	11	-	-	PUNCT
ejpam-4437	8	12	term	term	NOUN
ejpam-4437	8	13	methods	method	NOUN
ejpam-4437	8	14	of	of	ADP
ejpam-4437	8	15	performance	performance	NOUN
ejpam-4437	8	16	.	.	PUNCT
ejpam-4437	9	1	as	as	ADP
ejpam-4437	9	2	a	a	DET
ejpam-4437	9	3	result	result	NOUN
ejpam-4437	9	4	,	,	PUNCT
ejpam-4437	9	5	we	we	PRON
ejpam-4437	9	6	compare	compare	VERB
ejpam-4437	9	7	our	our	PRON
ejpam-4437	9	8	new	new	ADJ
ejpam-4437	9	9	modification	modification	NOUN
ejpam-4437	9	10	to	to	ADP
ejpam-4437	9	11	an	an	DET
ejpam-4437	9	12	efficient	efficient	ADJ
ejpam-4437	9	13	two	two	NUM
ejpam-4437	9	14	-	-	PUNCT
ejpam-4437	9	15	term	term	NOUN
ejpam-4437	9	16	and	and	CCONJ
ejpam-4437	9	17	ttcgm	ttcgm	NOUN
ejpam-4437	9	18	in	in	ADP
ejpam-4437	9	19	the	the	DET
ejpam-4437	9	20	numerical	numerical	ADJ
ejpam-4437	9	21	results	result	NOUN
ejpam-4437	9	22	.	.	PUNCT
ejpam-4437	10	1	finally	finally	ADV
ejpam-4437	10	2	,	,	PUNCT
ejpam-4437	10	3	we	we	PRON
ejpam-4437	10	4	conclude	conclude	VERB
ejpam-4437	10	5	that	that	SCONJ
ejpam-4437	10	6	our	our	PRON
ejpam-4437	10	7	proposed	propose	VERB
ejpam-4437	10	8	modification	modification	NOUN
ejpam-4437	10	9	.	.	PUNCT
ejpam-4437	11	1	2020	2020	NUM
ejpam-4437	11	2	mathematics	mathematic	NOUN
ejpam-4437	11	3	subject	subject	NOUN
ejpam-4437	11	4	classifications	classification	NOUN
ejpam-4437	11	5	:	:	PUNCT
ejpam-4437	11	6	90c90	90c90	NUM
ejpam-4437	11	7	,	,	PUNCT
ejpam-4437	11	8	90c30	90c30	NUM
ejpam-4437	11	9	,	,	PUNCT
ejpam-4437	11	10	90c06	90c06	NUM
ejpam-4437	11	11	,	,	PUNCT
ejpam-4437	11	12	65k05	65k05	NUM
ejpam-4437	11	13	,	,	PUNCT
ejpam-4437	11	14	49m37	49m37	NUM
ejpam-4437	11	15	key	key	ADJ
ejpam-4437	11	16	words	word	NOUN
ejpam-4437	11	17	and	and	CCONJ
ejpam-4437	11	18	phrases	phrase	NOUN
ejpam-4437	11	19	:	:	PUNCT
ejpam-4437	11	20	ttcgm	ttcgm	NOUN
ejpam-4437	11	21	,	,	PUNCT
ejpam-4437	11	22	nonlinear	nonlinear	ADJ
ejpam-4437	11	23	unconstrained	unconstrained	ADJ
ejpam-4437	11	24	optimization	optimization	NOUN
ejpam-4437	11	25	,	,	PUNCT
ejpam-4437	11	26	swpl	swpl	ADJ
ejpam-4437	11	27	search	search	NOUN
ejpam-4437	11	28	,	,	PUNCT
ejpam-4437	11	29	sdp	sdp	NOUN
ejpam-4437	11	30	1	1	NUM
ejpam-4437	11	31	.	.	PUNCT
ejpam-4437	11	32	introduction	introduction	NOUN
ejpam-4437	11	33	the	the	DET
ejpam-4437	11	34	nlcgm	nlcgm	NOUN
ejpam-4437	11	35	,	,	PUNCT
ejpam-4437	11	36	an	an	DET
ejpam-4437	11	37	iterative	iterative	NOUN
ejpam-4437	11	38	method	method	NOUN
ejpam-4437	11	39	for	for	ADP
ejpam-4437	11	40	solving	solve	VERB
ejpam-4437	11	41	the	the	DET
ejpam-4437	11	42	unconstrained	unconstrained	ADJ
ejpam-4437	11	43	optimization	optimization	NOUN
ejpam-4437	11	44	problem	problem	NOUN
ejpam-4437	11	45	of	of	ADP
ejpam-4437	11	46	the	the	DET
ejpam-4437	11	47	form	form	NOUN
ejpam-4437	11	48	:	:	PUNCT
ejpam-4437	11	49	was	be	AUX
ejpam-4437	11	50	used	use	VERB
ejpam-4437	11	51	in	in	ADP
ejpam-4437	11	52	this	this	DET
ejpam-4437	11	53	study	study	NOUN
ejpam-4437	11	54	.	.	PUNCT
ejpam-4437	12	1	minu	minu	NOUN
ejpam-4437	12	2	(	(	PUNCT
ejpam-4437	12	3	x	x	X
ejpam-4437	12	4	)	)	PUNCT
ejpam-4437	12	5	,	,	PUNCT
ejpam-4437	12	6	x	x	PUNCT
ejpam-4437	12	7	∈	∈	PROPN
ejpam-4437	12	8	rn	rn	PROPN
ejpam-4437	12	9	(	(	PUNCT
ejpam-4437	12	10	1	1	X
ejpam-4437	12	11	)	)	PUNCT
ejpam-4437	12	12	is	be	AUX
ejpam-4437	12	13	investigated	investigate	VERB
ejpam-4437	12	14	.	.	PUNCT
ejpam-4437	13	1	u	u	NOUN
ejpam-4437	13	2	:	:	PUNCT
ejpam-4437	13	3	rn	rn	PROPN
ejpam-4437	13	4	→	→	SYM
ejpam-4437	13	5	r	r	NOUN
ejpam-4437	13	6	is	be	AUX
ejpam-4437	13	7	smooth	smooth	ADJ
ejpam-4437	13	8	and	and	CCONJ
ejpam-4437	13	9	g	g	PROPN
ejpam-4437	13	10	(	(	PUNCT
ejpam-4437	13	11	x	x	NOUN
ejpam-4437	13	12	)	)	PUNCT
ejpam-4437	14	1	=	=	SYM
ejpam-4437	14	2	∇u	∇u	PROPN
ejpam-4437	14	3	(	(	PUNCT
ejpam-4437	14	4	x	x	X
ejpam-4437	14	5	)	)	PUNCT
ejpam-4437	14	6	is	be	AUX
ejpam-4437	14	7	accessible	accessible	ADJ
ejpam-4437	14	8	,	,	PUNCT
ejpam-4437	14	9	because	because	SCONJ
ejpam-4437	14	10	it	it	PRON
ejpam-4437	14	11	does	do	AUX
ejpam-4437	14	12	not	not	PART
ejpam-4437	14	13	require	require	VERB
ejpam-4437	14	14	any	any	DET
ejpam-4437	14	15	matrices	matrix	NOUN
ejpam-4437	14	16	,	,	PUNCT
ejpam-4437	14	17	the	the	DET
ejpam-4437	14	18	nlcgm	nlcgm	NOUN
ejpam-4437	14	19	is	be	AUX
ejpam-4437	14	20	one	one	NUM
ejpam-4437	14	21	option	option	NOUN
ejpam-4437	14	22	for	for	ADP
ejpam-4437	14	23	obtaining	obtain	VERB
ejpam-4437	14	24	the	the	DET
ejpam-4437	14	25	bare	bare	ADJ
ejpam-4437	14	26	minimum	minimum	NOUN
ejpam-4437	14	27	(	(	PUNCT
ejpam-4437	14	28	1	1	NUM
ejpam-4437	14	29	)	)	PUNCT
ejpam-4437	15	1	[	[	X
ejpam-4437	15	2	5	5	NUM
ejpam-4437	15	3	]	]	PUNCT
ejpam-4437	15	4	.	.	PUNCT
ejpam-4437	16	1	cg	cg	NOUN
ejpam-4437	16	2	methods	method	NOUN
ejpam-4437	16	3	are	be	AUX
ejpam-4437	16	4	iterative	iterative	ADJ
ejpam-4437	16	5	methods	method	NOUN
ejpam-4437	16	6	in	in	ADP
ejpam-4437	16	7	the	the	DET
ejpam-4437	16	8	form	form	NOUN
ejpam-4437	16	9	of	of	ADP
ejpam-4437	16	10	:	:	PUNCT
ejpam-4437	16	11	xk+1	xk+1	PROPN
ejpam-4437	16	12	=	=	SYM
ejpam-4437	16	13	xk	xk	PROPN
ejpam-4437	17	1	+	+	CCONJ
ejpam-4437	17	2	γkdk	γkdk	NOUN
ejpam-4437	17	3	,	,	PUNCT
ejpam-4437	17	4	k	k	PROPN
ejpam-4437	17	5	=	=	SYM
ejpam-4437	17	6	0	0	NUM
ejpam-4437	17	7	,	,	PUNCT
ejpam-4437	17	8	1	1	NUM
ejpam-4437	17	9	,	,	PUNCT
ejpam-4437	17	10	2	2	NUM
ejpam-4437	17	11	,	,	PUNCT
ejpam-4437	17	12	3	3	NUM
ejpam-4437	17	13	,	,	PUNCT
ejpam-4437	17	14	.	.	PUNCT
ejpam-4437	17	15	.	.	PUNCT
ejpam-4437	17	16	.	.	PUNCT
ejpam-4437	18	1	(	(	PUNCT
ejpam-4437	18	2	2	2	X
ejpam-4437	18	3	)	)	PUNCT
ejpam-4437	18	4	∗corresponding	∗corresponde	VERB
ejpam-4437	18	5	author	author	NOUN
ejpam-4437	18	6	.	.	PUNCT
ejpam-4437	19	1	doi	doi	NOUN
ejpam-4437	19	2	:	:	PUNCT
ejpam-4437	19	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4437	https://doi.org/10.29020/nybg.ejpam.v15i3.4437	NOUN
ejpam-4437	19	4	email	email	NOUN
ejpam-4437	19	5	addresses	address	NOUN
ejpam-4437	19	6	:	:	PUNCT
ejpam-4437	19	7	drghadaalnaemi@uomosul.edu.iq	drghadaalnaemi@uomosul.edu.iq	ADJ
ejpam-4437	19	8	(	(	PUNCT
ejpam-4437	19	9	gh	gh	PROPN
ejpam-4437	19	10	.	.	PROPN
ejpam-4437	19	11	m.	m.	PROPN
ejpam-4437	19	12	al	al	PROPN
ejpam-4437	19	13	-	-	PUNCT
ejpam-4437	19	14	naemi	naemi	NOUN
ejpam-4437	19	15	)	)	PUNCT
ejpam-4437	19	16	,	,	PUNCT
ejpam-4437	19	17	fms@uomosul.edu.iq	fms@uomosul.edu.iq	PROPN
ejpam-4437	19	18	(	(	PUNCT
ejpam-4437	19	19	f.	f.	PROPN
ejpam-4437	19	20	m.	m.	PROPN
ejpam-4437	19	21	saeed	saeed	PROPN
ejpam-4437	19	22	)	)	PUNCT
ejpam-4437	19	23	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4437	19	24	1254	1254	NUM
ejpam-4437	20	1	©	©	PROPN
ejpam-4437	20	2	2022	2022	NUM
ejpam-4437	20	3	ejpam	ejpam	VERB
ejpam-4437	20	4	all	all	DET
ejpam-4437	20	5	rights	right	NOUN
ejpam-4437	20	6	reserved	reserve	VERB
ejpam-4437	20	7	.	.	PUNCT
ejpam-4437	21	1	gh	gh	PROPN
ejpam-4437	21	2	.	.	PROPN
ejpam-4437	21	3	m.	m.	PROPN
ejpam-4437	21	4	al	al	PROPN
ejpam-4437	21	5	-	-	PUNCT
ejpam-4437	21	6	naemi	naemi	PROPN
ejpam-4437	21	7	,	,	PUNCT
ejpam-4437	21	8	f.	f.	PROPN
ejpam-4437	21	9	m.	m.	PROPN
ejpam-4437	21	10	saeed	saeed	PROPN
ejpam-4437	21	11	/	/	SYM
ejpam-4437	21	12	eur	eur	PROPN
ejpam-4437	21	13	.	.	PUNCT
ejpam-4437	22	1	j.	j.	PROPN
ejpam-4437	22	2	pure	pure	PROPN
ejpam-4437	22	3	appl	appl	PROPN
ejpam-4437	22	4	.	.	PROPN
ejpam-4437	22	5	math	math	PROPN
ejpam-4437	22	6	,	,	PUNCT
ejpam-4437	22	7	15	15	NUM
ejpam-4437	22	8	(	(	PUNCT
ejpam-4437	22	9	3	3	NUM
ejpam-4437	22	10	)	)	PUNCT
ejpam-4437	22	11	(	(	PUNCT
ejpam-4437	22	12	2022	2022	NUM
ejpam-4437	22	13	)	)	PUNCT
ejpam-4437	22	14	,	,	PUNCT
ejpam-4437	22	15	1254	1254	NUM
ejpam-4437	22	16	-	-	SYM
ejpam-4437	22	17	1264	1264	NUM
ejpam-4437	22	18	1255	1255	NUM
ejpam-4437	22	19	where	where	SCONJ
ejpam-4437	22	20	γk	γk	PROPN
ejpam-4437	22	21	denotes	denote	VERB
ejpam-4437	22	22	a	a	DET
ejpam-4437	22	23	positive	positive	ADJ
ejpam-4437	22	24	step	step	NOUN
ejpam-4437	22	25	size	size	NOUN
ejpam-4437	22	26	using	use	VERB
ejpam-4437	22	27	by	by	ADP
ejpam-4437	22	28	cubic	cubic	ADJ
ejpam-4437	22	29	interpolation	interpolation	NOUN
ejpam-4437	22	30	and	and	CCONJ
ejpam-4437	22	31	dk	dk	PROPN
ejpam-4437	22	32	denotes	denote	VERB
ejpam-4437	22	33	a	a	DET
ejpam-4437	22	34	search	search	NOUN
ejpam-4437	22	35	direction	direction	NOUN
ejpam-4437	22	36	.	.	PUNCT
ejpam-4437	23	1	typically	typically	ADV
ejpam-4437	23	2	,	,	PUNCT
ejpam-4437	23	3	the	the	DET
ejpam-4437	23	4	search	search	NOUN
ejpam-4437	23	5	direction	direction	NOUN
ejpam-4437	23	6	is	be	AUX
ejpam-4437	23	7	defined	define	VERB
ejpam-4437	23	8	as	as	ADP
ejpam-4437	23	9	:	:	PUNCT
ejpam-4437	23	10	dk	dk	X
ejpam-4437	23	11	=	=	X
ejpam-4437	23	12	{	{	PUNCT
ejpam-4437	23	13	−gk	−gk	NOUN
ejpam-4437	23	14	,	,	PUNCT
ejpam-4437	23	15	k	k	PROPN
ejpam-4437	23	16	=	=	SYM
ejpam-4437	23	17	0	0	NUM
ejpam-4437	23	18	−gk	−gk	NOUN
ejpam-4437	23	19	+	+	CCONJ
ejpam-4437	23	20	βkdk−1	βkdk−1	ADJ
ejpam-4437	23	21	,	,	PUNCT
ejpam-4437	23	22	k	k	PROPN
ejpam-4437	23	23	≥	≥	NUM
ejpam-4437	23	24	1	1	NUM
ejpam-4437	23	25	(	(	PUNCT
ejpam-4437	23	26	3	3	NUM
ejpam-4437	23	27	)	)	PUNCT
ejpam-4437	23	28	where	where	SCONJ
ejpam-4437	23	29	βk	βk	NOUN
ejpam-4437	23	30	∈	∈	PROPN
ejpam-4437	23	31	r	r	NOUN
ejpam-4437	23	32	is	be	AUX
ejpam-4437	23	33	a	a	DET
ejpam-4437	23	34	scalar	scalar	ADJ
ejpam-4437	23	35	parameter	parameter	NOUN
ejpam-4437	23	36	that	that	PRON
ejpam-4437	23	37	defines	define	VERB
ejpam-4437	23	38	cg	cg	NOUN
ejpam-4437	23	39	-	-	PUNCT
ejpam-4437	23	40	method	method	NOUN
ejpam-4437	23	41	.	.	PUNCT
ejpam-4437	24	1	typically	typically	ADV
ejpam-4437	24	2	,	,	PUNCT
ejpam-4437	24	3	the	the	DET
ejpam-4437	24	4	parameter	parameter	NOUN
ejpam-4437	24	5	βk	βk	NOUN
ejpam-4437	24	6	is	be	AUX
ejpam-4437	24	7	typically	typically	ADV
ejpam-4437	24	8	chosen	choose	VERB
ejpam-4437	24	9	in	in	ADP
ejpam-4437	24	10	such	such	DET
ejpam-4437	24	11	a	a	DET
ejpam-4437	24	12	way	way	NOUN
ejpam-4437	24	13	(	(	PUNCT
ejpam-4437	24	14	2)-(3	2)-(3	NOUN
ejpam-4437	24	15	)	)	PUNCT
ejpam-4437	24	16	reduces	reduce	VERB
ejpam-4437	24	17	the	the	DET
ejpam-4437	24	18	linear	linear	ADJ
ejpam-4437	24	19	cg	cg	NOUN
ejpam-4437	24	20	-	-	PUNCT
ejpam-4437	24	21	method	method	NOUN
ejpam-4437	24	22	,	,	PUNCT
ejpam-4437	24	23	if	if	SCONJ
ejpam-4437	24	24	f(x	f(x	PROPN
ejpam-4437	24	25	)	)	PUNCT
ejpam-4437	24	26	is	be	AUX
ejpam-4437	24	27	a	a	DET
ejpam-4437	24	28	strictly	strictly	ADV
ejpam-4437	24	29	convex	convex	ADJ
ejpam-4437	24	30	quadratic	quadratic	ADJ
ejpam-4437	24	31	function	function	NOUN
ejpam-4437	24	32	and	and	CCONJ
ejpam-4437	24	33	is	be	AUX
ejpam-4437	24	34	calculated	calculate	VERB
ejpam-4437	24	35	using	use	VERB
ejpam-4437	24	36	the	the	DET
ejpam-4437	24	37	exact	exact	ADJ
ejpam-4437	24	38	line	line	NOUN
ejpam-4437	24	39	search	search	NOUN
ejpam-4437	24	40	(	(	PUNCT
ejpam-4437	24	41	els	el	NOUN
ejpam-4437	24	42	)	)	PUNCT
ejpam-4437	24	43	,	,	PUNCT
ejpam-4437	24	44	the	the	DET
ejpam-4437	24	45	parameter	parameter	NOUN
ejpam-4437	24	46	γk	γk	PROPN
ejpam-4437	24	47	is	be	AUX
ejpam-4437	24	48	usually	usually	ADV
ejpam-4437	24	49	chosen	choose	VERB
ejpam-4437	24	50	so	so	SCONJ
ejpam-4437	24	51	that	that	SCONJ
ejpam-4437	24	52	(	(	PUNCT
ejpam-4437	24	53	2)-(3	2)-(3	NOUN
ejpam-4437	24	54	)	)	PUNCT
ejpam-4437	24	55	reduces	reduce	VERB
ejpam-4437	24	56	to	to	ADP
ejpam-4437	24	57	the	the	DET
ejpam-4437	24	58	linear	linear	ADJ
ejpam-4437	24	59	cg	cg	NOUN
ejpam-4437	24	60	-	-	PUNCT
ejpam-4437	24	61	method	method	NOUN
ejpam-4437	24	62	[	[	X
ejpam-4437	24	63	1	1	NUM
ejpam-4437	24	64	]	]	PUNCT
ejpam-4437	24	65	.	.	PUNCT
ejpam-4437	25	1	in	in	ADP
ejpam-4437	25	2	[	[	X
ejpam-4437	25	3	8	8	NUM
ejpam-4437	25	4	,	,	PUNCT
ejpam-4437	25	5	10–12	10–12	NUM
ejpam-4437	25	6	,	,	PUNCT
ejpam-4437	25	7	14–16	14–16	NUM
ejpam-4437	25	8	]	]	PUNCT
ejpam-4437	25	9	,	,	PUNCT
ejpam-4437	25	10	six	six	NUM
ejpam-4437	25	11	pioneering	pioneer	VERB
ejpam-4437	25	12	forms	form	NOUN
ejpam-4437	25	13	of	of	ADP
ejpam-4437	25	14	βk	βk	NOUN
ejpam-4437	25	15	are	be	AUX
ejpam-4437	25	16	defined	define	VERB
ejpam-4437	25	17	.	.	PUNCT
ejpam-4437	26	1	for	for	ADP
ejpam-4437	26	2	some	some	DET
ejpam-4437	26	3	ttkmar	ttkmar	NOUN
ejpam-4437	26	4	methods	method	NOUN
ejpam-4437	26	5	,	,	PUNCT
ejpam-4437	26	6	the	the	DET
ejpam-4437	26	7	line	line	NOUN
ejpam-4437	26	8	search	search	NOUN
ejpam-4437	26	9	is	be	AUX
ejpam-4437	26	10	frequently	frequently	ADV
ejpam-4437	26	11	used	use	VERB
ejpam-4437	26	12	to	to	PART
ejpam-4437	26	13	achieve	achieve	VERB
ejpam-4437	26	14	gcp	gcp	NOUN
ejpam-4437	26	15	and	and	CCONJ
ejpam-4437	26	16	improve	improve	VERB
ejpam-4437	26	17	computational	computational	ADJ
ejpam-4437	26	18	performance	performance	NOUN
ejpam-4437	27	1	[	[	X
ejpam-4437	27	2	17	17	NUM
ejpam-4437	27	3	]	]	X
ejpam-4437	27	4	f	f	PROPN
ejpam-4437	27	5	(	(	PUNCT
ejpam-4437	27	6	xk	xk	PROPN
ejpam-4437	27	7	+	+	CCONJ
ejpam-4437	27	8	γkdk	γkdk	NOUN
ejpam-4437	27	9	)	)	PUNCT
ejpam-4437	27	10	≤	≤	NUM
ejpam-4437	27	11	f	f	X
ejpam-4437	27	12	(	(	PUNCT
ejpam-4437	27	13	xk	xk	PROPN
ejpam-4437	27	14	)	)	PUNCT
ejpam-4437	27	15	+	+	CCONJ
ejpam-4437	27	16	ργkdk	ργkdk	NOUN
ejpam-4437	27	17	(	(	PUNCT
ejpam-4437	27	18	4	4	NUM
ejpam-4437	27	19	)	)	PUNCT
ejpam-4437	27	20	∣∣∣g(xk	∣∣∣g(xk	NOUN
ejpam-4437	27	21	+	+	CCONJ
ejpam-4437	27	22	γkdk	γkdk	ADJ
ejpam-4437	27	23	)	)	PUNCT
ejpam-4437	27	24	tdk	tdk	NOUN
ejpam-4437	27	25	∣∣∣	∣∣∣	NOUN
ejpam-4437	27	26	≤	≤	PROPN
ejpam-4437	27	27	σ	σ	NOUN
ejpam-4437	27	28	∣∣gtk	∣∣gtk	NUM
ejpam-4437	27	29	dk∣∣	dk∣∣	NOUN
ejpam-4437	27	30	(	(	PUNCT
ejpam-4437	27	31	5	5	NUM
ejpam-4437	27	32	)	)	PUNCT
ejpam-4437	27	33	where	where	SCONJ
ejpam-4437	27	34	dk	dk	PROPN
ejpam-4437	27	35	is	be	AUX
ejpam-4437	27	36	the	the	DET
ejpam-4437	27	37	direction	direction	NOUN
ejpam-4437	27	38	of	of	ADP
ejpam-4437	27	39	descent	descent	NOUN
ejpam-4437	27	40	and	and	CCONJ
ejpam-4437	27	41	0	0	NUM
ejpam-4437	27	42	<	<	X
ejpam-4437	27	43	ρ	ρ	X
ejpam-4437	27	44	<	<	X
ejpam-4437	27	45	0.5	0.5	NUM
ejpam-4437	27	46	<	<	X
ejpam-4437	27	47	σ	σ	X
ejpam-4437	27	48	<	<	X
ejpam-4437	27	49	1	1	NUM
ejpam-4437	27	50	is	be	AUX
ejpam-4437	27	51	a	a	DET
ejpam-4437	27	52	very	very	ADV
ejpam-4437	27	53	efficient	efficient	ADJ
ejpam-4437	27	54	value	value	NOUN
ejpam-4437	27	55	.	.	PUNCT
ejpam-4437	28	1	in	in	ADP
ejpam-4437	28	2	general	general	ADJ
ejpam-4437	28	3	,	,	PUNCT
ejpam-4437	28	4	the	the	DET
ejpam-4437	28	5	different	different	ADJ
ejpam-4437	28	6	conjugate	conjugate	ADJ
ejpam-4437	28	7	gradient	gradient	NOUN
ejpam-4437	28	8	parameter	parameter	NOUN
ejpam-4437	28	9	choices	choice	NOUN
ejpam-4437	28	10	in	in	ADP
ejpam-4437	28	11	(	(	PUNCT
ejpam-4437	28	12	3	3	X
ejpam-4437	28	13	)	)	PUNCT
ejpam-4437	28	14	correspond	correspond	VERB
ejpam-4437	28	15	to	to	ADP
ejpam-4437	28	16	different	different	ADJ
ejpam-4437	28	17	ttcg	ttcg	ADJ
ejpam-4437	28	18	methods	method	NOUN
ejpam-4437	28	19	.	.	PUNCT
ejpam-4437	29	1	2	2	X
ejpam-4437	29	2	.	.	X
ejpam-4437	29	3	motivation	motivation	NOUN
ejpam-4437	29	4	and	and	CCONJ
ejpam-4437	29	5	algorithm	algorithm	NOUN
ejpam-4437	29	6	several	several	ADJ
ejpam-4437	29	7	ttcg	ttcg	ADJ
ejpam-4437	29	8	methods	method	NOUN
ejpam-4437	29	9	for	for	ADP
ejpam-4437	29	10	unconstrained	unconstrained	ADJ
ejpam-4437	29	11	optimization	optimization	NOUN
ejpam-4437	29	12	problems	problem	NOUN
ejpam-4437	29	13	have	have	AUX
ejpam-4437	29	14	recently	recently	ADV
ejpam-4437	29	15	been	be	AUX
ejpam-4437	29	16	proposed	propose	VERB
ejpam-4437	29	17	.	.	PUNCT
ejpam-4437	30	1	this	this	DET
ejpam-4437	30	2	section	section	NOUN
ejpam-4437	30	3	begins	begin	VERB
ejpam-4437	30	4	with	with	ADP
ejpam-4437	30	5	an	an	DET
ejpam-4437	30	6	explanation	explanation	NOUN
ejpam-4437	30	7	of	of	ADP
ejpam-4437	30	8	our	our	PRON
ejpam-4437	30	9	motivation	motivation	NOUN
ejpam-4437	30	10	before	before	ADP
ejpam-4437	30	11	moving	move	VERB
ejpam-4437	30	12	on	on	ADP
ejpam-4437	30	13	to	to	ADP
ejpam-4437	30	14	a	a	DET
ejpam-4437	30	15	detailed	detailed	ADJ
ejpam-4437	30	16	explanation	explanation	NOUN
ejpam-4437	30	17	of	of	ADP
ejpam-4437	30	18	our	our	PRON
ejpam-4437	30	19	method	method	NOUN
ejpam-4437	30	20	.	.	PUNCT
ejpam-4437	31	1	recently	recently	ADV
ejpam-4437	31	2	,	,	PUNCT
ejpam-4437	31	3	zhang	zhang	PROPN
ejpam-4437	31	4	et	et	PROPN
ejpam-4437	31	5	al	al	PROPN
ejpam-4437	31	6	.	.	PUNCT
ejpam-4437	32	1	[	[	X
ejpam-4437	32	2	23	23	NUM
ejpam-4437	32	3	]	]	PUNCT
ejpam-4437	32	4	presented	present	VERB
ejpam-4437	32	5	a	a	DET
ejpam-4437	32	6	threeâe“term	threeâe“term	PROPN
ejpam-4437	32	7	mprp	mprp	ADJ
ejpam-4437	32	8	method	method	NOUN
ejpam-4437	32	9	and	and	CCONJ
ejpam-4437	32	10	used	use	VERB
ejpam-4437	32	11	the	the	DET
ejpam-4437	32	12	armijo	armijo	PROPN
ejpam-4437	32	13	line	line	NOUN
ejpam-4437	32	14	search	search	NOUN
ejpam-4437	32	15	to	to	PART
ejpam-4437	32	16	demonstrate	demonstrate	VERB
ejpam-4437	32	17	that	that	SCONJ
ejpam-4437	32	18	the	the	DET
ejpam-4437	32	19	direction	direction	NOUN
ejpam-4437	32	20	meets	meet	VERB
ejpam-4437	32	21	gcp	gcp	NOUN
ejpam-4437	32	22	.	.	PUNCT
ejpam-4437	33	1	dk	dk	X
ejpam-4437	33	2	=	=	PRON
ejpam-4437	33	3	{	{	PUNCT
ejpam-4437	33	4	−gk	−gk	NOUN
ejpam-4437	33	5	,	,	PUNCT
ejpam-4437	33	6	k	k	PROPN
ejpam-4437	33	7	=	=	SYM
ejpam-4437	33	8	0	0	PUNCT
ejpam-4437	33	9	−gk	−gk	NOUN
ejpam-4437	33	10	+	+	NOUN
ejpam-4437	33	11	gtk	gtk	NOUN
ejpam-4437	33	12	yk−1	yk−1	PROPN
ejpam-4437	33	13	gtk−1gk−1	gtk−1gk−1	PROPN
ejpam-4437	33	14	dk−1	dk−1	PROPN
ejpam-4437	33	15	−	−	PROPN
ejpam-4437	33	16	gtk	gtk	NOUN
ejpam-4437	33	17	dk−1	dk−1	PROPN
ejpam-4437	33	18	gtk−1gk−1	gtk−1gk−1	PROPN
ejpam-4437	33	19	yk−1	yk−1	PROPN
ejpam-4437	33	20	,	,	PUNCT
ejpam-4437	33	21	k	k	PROPN
ejpam-4437	33	22	≥	≥	NUM
ejpam-4437	33	23	1	1	NUM
ejpam-4437	33	24	(	(	PUNCT
ejpam-4437	33	25	6	6	NUM
ejpam-4437	33	26	)	)	PUNCT
ejpam-4437	33	27	where	where	SCONJ
ejpam-4437	33	28	yk−1	yk−1	PROPN
ejpam-4437	33	29	=	=	PUNCT
ejpam-4437	33	30	gk	gk	PROPN
ejpam-4437	33	31	−	−	PROPN
ejpam-4437	33	32	gk−1	gk−1	PROPN
ejpam-4437	33	33	,	,	PUNCT
ejpam-4437	33	34	in	in	ADP
ejpam-4437	33	35	the	the	DET
ejpam-4437	33	36	same	same	ADJ
ejpam-4437	33	37	content	content	NOUN
ejpam-4437	33	38	,	,	PUNCT
ejpam-4437	33	39	zhang	zhang	PROPN
ejpam-4437	33	40	et	et	PROPN
ejpam-4437	33	41	al	al	PROPN
ejpam-4437	33	42	.	.	PUNCT
ejpam-4437	34	1	[	[	X
ejpam-4437	34	2	22	22	NUM
ejpam-4437	34	3	]	]	PUNCT
ejpam-4437	34	4	developed	develop	VERB
ejpam-4437	34	5	the	the	DET
ejpam-4437	34	6	three	three	NUM
ejpam-4437	34	7	-	-	PUNCT
ejpam-4437	34	8	term	term	NOUN
ejpam-4437	34	9	hs	hs	PROPN
ejpam-4437	34	10	method	method	PROPN
ejpam-4437	34	11	.	.	PUNCT
ejpam-4437	35	1	which	which	PRON
ejpam-4437	35	2	is	be	AUX
ejpam-4437	35	3	expressed	express	VERB
ejpam-4437	35	4	as	as	ADP
ejpam-4437	35	5	:	:	PUNCT
ejpam-4437	35	6	dk	dk	X
ejpam-4437	35	7	=	=	X
ejpam-4437	35	8	{	{	PUNCT
ejpam-4437	35	9	−gk	−gk	NOUN
ejpam-4437	35	10	,	,	PUNCT
ejpam-4437	35	11	k	k	PROPN
ejpam-4437	35	12	=	=	SYM
ejpam-4437	35	13	0	0	PUNCT
ejpam-4437	36	1	−gk	−gk	NOUN
ejpam-4437	36	2	+	+	NOUN
ejpam-4437	36	3	gtk	gtk	NOUN
ejpam-4437	36	4	yk−1	yk−1	PROPN
ejpam-4437	36	5	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4437	36	6	dk−1	dk−1	PROPN
ejpam-4437	36	7	−	−	PROPN
ejpam-4437	36	8	gtk	gtk	NOUN
ejpam-4437	36	9	dk−1	dk−1	PROPN
ejpam-4437	36	10	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4437	36	11	yk−1	yk−1	PROPN
ejpam-4437	36	12	,	,	PUNCT
ejpam-4437	36	13	k	k	PROPN
ejpam-4437	36	14	≥	≥	NUM
ejpam-4437	36	15	1	1	NUM
ejpam-4437	36	16	(	(	PUNCT
ejpam-4437	36	17	7	7	NUM
ejpam-4437	36	18	)	)	PUNCT
ejpam-4437	36	19	the	the	DET
ejpam-4437	36	20	sdp	sdp	NOUN
ejpam-4437	36	21	is	be	AUX
ejpam-4437	36	22	satisfied	satisfied	ADJ
ejpam-4437	36	23	by	by	ADP
ejpam-4437	36	24	the	the	DET
ejpam-4437	36	25	three	three	NUM
ejpam-4437	36	26	-	-	PUNCT
ejpam-4437	36	27	term	term	NOUN
ejpam-4437	36	28	hs	hs	PROPN
ejpam-4437	36	29	method	method	NOUN
ejpam-4437	36	30	;	;	PUNCT
ejpam-4437	36	31	if	if	SCONJ
ejpam-4437	36	32	an	an	DET
ejpam-4437	36	33	els	el	NOUN
ejpam-4437	36	34	is	be	AUX
ejpam-4437	36	35	used	use	VERB
ejpam-4437	36	36	,	,	PUNCT
ejpam-4437	36	37	it	it	PRON
ejpam-4437	36	38	reduces	reduce	VERB
ejpam-4437	36	39	to	to	ADP
ejpam-4437	36	40	the	the	DET
ejpam-4437	36	41	original	original	ADJ
ejpam-4437	36	42	hs	hs	PROPN
ejpam-4437	36	43	method	method	NOUN
ejpam-4437	36	44	.	.	PUNCT
ejpam-4437	37	1	furthermore	furthermore	ADV
ejpam-4437	37	2	,	,	PUNCT
ejpam-4437	37	3	a	a	DET
ejpam-4437	37	4	modified	modified	ADJ
ejpam-4437	37	5	three	three	NUM
ejpam-4437	37	6	-	-	PUNCT
ejpam-4437	37	7	term	term	NOUN
ejpam-4437	37	8	hs	hs	PROPN
ejpam-4437	37	9	algorithm	algorithm	PROPN
ejpam-4437	37	10	on	on	ADP
ejpam-4437	37	11	the	the	DET
ejpam-4437	37	12	search	search	NOUN
ejpam-4437	37	13	direction	direction	NOUN
ejpam-4437	37	14	is	be	AUX
ejpam-4437	37	15	used	use	VERB
ejpam-4437	37	16	to	to	PART
ejpam-4437	37	17	ensure	ensure	VERB
ejpam-4437	37	18	the	the	DET
ejpam-4437	37	19	gcp	gcp	NOUN
ejpam-4437	37	20	of	of	ADP
ejpam-4437	37	21	the	the	DET
ejpam-4437	37	22	search	search	NOUN
ejpam-4437	37	23	direction	direction	NOUN
ejpam-4437	37	24	specified	specify	VERB
ejpam-4437	37	25	in	in	ADP
ejpam-4437	37	26	(	(	PUNCT
ejpam-4437	37	27	7	7	NUM
ejpam-4437	37	28	):	):	PUNCT
ejpam-4437	37	29	dk	dk	PROPN
ejpam-4437	37	30	=	=	X
ejpam-4437	37	31	{	{	PUNCT
ejpam-4437	37	32	−gk	−gk	NOUN
ejpam-4437	37	33	,	,	PUNCT
ejpam-4437	37	34	k	k	PROPN
ejpam-4437	37	35	=	=	SYM
ejpam-4437	37	36	0	0	PUNCT
ejpam-4437	37	37	−gk	−gk	NOUN
ejpam-4437	37	38	+	+	NOUN
ejpam-4437	37	39	gtk	gtk	NOUN
ejpam-4437	37	40	µk−1	µk−1	PROPN
ejpam-4437	37	41	ztk−1dk−1	ztk−1dk−1	PROPN
ejpam-4437	37	42	dk−1	dk−1	PROPN
ejpam-4437	37	43	−	−	PROPN
ejpam-4437	37	44	gtk	gtk	NOUN
ejpam-4437	37	45	dk−1	dk−1	PROPN
ejpam-4437	37	46	ztk−1dk−1	ztk−1dk−1	PROPN
ejpam-4437	37	47	yk−1	yk−1	PROPN
ejpam-4437	37	48	,	,	PUNCT
ejpam-4437	37	49	k	k	PROPN
ejpam-4437	37	50	≥	≥	NUM
ejpam-4437	37	51	1	1	NUM
ejpam-4437	37	52	(	(	PUNCT
ejpam-4437	37	53	8)	8)	NUM
ejpam-4437	37	54	gh	gh	PROPN
ejpam-4437	37	55	.	.	PUNCT
ejpam-4437	38	1	m.	m.	PROPN
ejpam-4437	38	2	al	al	PROPN
ejpam-4437	38	3	-	-	PUNCT
ejpam-4437	38	4	naemi	naemi	PROPN
ejpam-4437	38	5	,	,	PUNCT
ejpam-4437	38	6	f.	f.	PROPN
ejpam-4437	38	7	m.	m.	PROPN
ejpam-4437	38	8	saeed	saeed	PROPN
ejpam-4437	38	9	/	/	SYM
ejpam-4437	38	10	eur	eur	PROPN
ejpam-4437	38	11	.	.	PUNCT
ejpam-4437	39	1	j.	j.	PROPN
ejpam-4437	39	2	pure	pure	PROPN
ejpam-4437	39	3	appl	appl	PROPN
ejpam-4437	39	4	.	.	PROPN
ejpam-4437	39	5	math	math	PROPN
ejpam-4437	39	6	,	,	PUNCT
ejpam-4437	39	7	15	15	NUM
ejpam-4437	39	8	(	(	PUNCT
ejpam-4437	39	9	3	3	NUM
ejpam-4437	39	10	)	)	PUNCT
ejpam-4437	39	11	(	(	PUNCT
ejpam-4437	39	12	2022	2022	NUM
ejpam-4437	39	13	)	)	PUNCT
ejpam-4437	39	14	,	,	PUNCT
ejpam-4437	39	15	1254	1254	NUM
ejpam-4437	39	16	-	-	SYM
ejpam-4437	39	17	1264	1264	NUM
ejpam-4437	39	18	1256	1256	NUM
ejpam-4437	39	19	with	with	ADP
ejpam-4437	39	20	µk−1	µk−1	NOUN
ejpam-4437	39	21	=	=	SYM
ejpam-4437	39	22	yk−1+t||g(xk)||t	yk−1+t||g(xk)||t	PROPN
ejpam-4437	39	23	sk−1	sk−1	PROPN
ejpam-4437	39	24	.	.	PUNCT
ejpam-4437	40	1	given	give	VERB
ejpam-4437	40	2	that	that	PRON
ejpam-4437	40	3	modified	modify	VERB
ejpam-4437	40	4	three	three	NUM
ejpam-4437	40	5	-	-	PUNCT
ejpam-4437	40	6	term	term	NOUN
ejpam-4437	40	7	hs	hs	PRON
ejpam-4437	40	8	were	be	AUX
ejpam-4437	40	9	introduced	introduce	VERB
ejpam-4437	40	10	in	in	ADP
ejpam-4437	40	11	(	(	PUNCT
ejpam-4437	40	12	7	7	NUM
ejpam-4437	40	13	)	)	PUNCT
ejpam-4437	40	14	to	to	PART
ejpam-4437	40	15	demonstrate	demonstrate	VERB
ejpam-4437	40	16	the	the	DET
ejpam-4437	40	17	gcp	gcp	NOUN
ejpam-4437	40	18	of	of	ADP
ejpam-4437	40	19	the	the	DET
ejpam-4437	40	20	search	search	NOUN
ejpam-4437	40	21	direction	direction	NOUN
ejpam-4437	40	22	,	,	PUNCT
ejpam-4437	40	23	one	one	PRON
ejpam-4437	40	24	might	might	AUX
ejpam-4437	40	25	wonder	wonder	VERB
ejpam-4437	40	26	why	why	SCONJ
ejpam-4437	40	27	(	(	PUNCT
ejpam-4437	40	28	7	7	X
ejpam-4437	40	29	)	)	PUNCT
ejpam-4437	40	30	is	be	AUX
ejpam-4437	40	31	not	not	PART
ejpam-4437	40	32	used	use	VERB
ejpam-4437	40	33	to	to	PART
ejpam-4437	40	34	demonstrate	demonstrate	VERB
ejpam-4437	40	35	the	the	DET
ejpam-4437	40	36	gcp	gcp	NOUN
ejpam-4437	40	37	of	of	ADP
ejpam-4437	40	38	the	the	DET
ejpam-4437	40	39	search	search	NOUN
ejpam-4437	40	40	direction	direction	NOUN
ejpam-4437	40	41	.	.	PUNCT
ejpam-4437	41	1	rather	rather	ADV
ejpam-4437	41	2	than	than	ADP
ejpam-4437	41	3	disregarding	disregard	VERB
ejpam-4437	41	4	(	(	PUNCT
ejpam-4437	41	5	7	7	NUM
ejpam-4437	41	6	)	)	PUNCT
ejpam-4437	41	7	,	,	PUNCT
ejpam-4437	41	8	it	it	PRON
ejpam-4437	41	9	should	should	AUX
ejpam-4437	41	10	be	be	AUX
ejpam-4437	41	11	made	make	VERB
ejpam-4437	41	12	efficient	efficient	ADJ
ejpam-4437	41	13	and	and	CCONJ
ejpam-4437	41	14	globally	globally	ADV
ejpam-4437	41	15	convergent	convergent	NOUN
ejpam-4437	41	16	.	.	PUNCT
ejpam-4437	42	1	as	as	ADP
ejpam-4437	42	2	a	a	DET
ejpam-4437	42	3	result	result	NOUN
ejpam-4437	42	4	,	,	PUNCT
ejpam-4437	42	5	(	(	PUNCT
ejpam-4437	42	6	7	7	X
ejpam-4437	42	7	)	)	PUNCT
ejpam-4437	42	8	can	can	AUX
ejpam-4437	42	9	be	be	AUX
ejpam-4437	42	10	modified	modify	VERB
ejpam-4437	42	11	to	to	PART
ejpam-4437	42	12	meet	meet	VERB
ejpam-4437	42	13	the	the	DET
ejpam-4437	42	14	gcp	gcp	NOUN
ejpam-4437	42	15	.	.	PUNCT
ejpam-4437	43	1	in	in	ADP
ejpam-4437	43	2	terms	term	NOUN
ejpam-4437	43	3	of	of	ADP
ejpam-4437	43	4	numerical	numerical	ADJ
ejpam-4437	43	5	performance	performance	NOUN
ejpam-4437	43	6	,	,	PUNCT
ejpam-4437	43	7	such	such	DET
ejpam-4437	43	8	a	a	DET
ejpam-4437	43	9	modification	modification	NOUN
ejpam-4437	43	10	is	be	AUX
ejpam-4437	43	11	expected	expect	VERB
ejpam-4437	43	12	to	to	PART
ejpam-4437	43	13	outperform	outperform	VERB
ejpam-4437	43	14	the	the	DET
ejpam-4437	43	15	mtths	mtth	NOUN
ejpam-4437	43	16	algorithm	algorithm	NOUN
ejpam-4437	43	17	.	.	PUNCT
ejpam-4437	44	1	recently	recently	ADV
ejpam-4437	44	2	,	,	PUNCT
ejpam-4437	44	3	kamilu	kamilu	NOUN
ejpam-4437	44	4	and	and	CCONJ
ejpam-4437	44	5	colleagues	colleague	NOUN
ejpam-4437	45	1	[	[	X
ejpam-4437	45	2	13	13	NUM
ejpam-4437	45	3	]	]	PUNCT
ejpam-4437	45	4	proposed	propose	VERB
ejpam-4437	45	5	a	a	DET
ejpam-4437	45	6	new	new	ADJ
ejpam-4437	45	7	cg	cg	NOUN
ejpam-4437	45	8	formula	formula	NOUN
ejpam-4437	45	9	with	with	ADP
ejpam-4437	45	10	the	the	DET
ejpam-4437	45	11	same	same	ADJ
ejpam-4437	45	12	numerator	numerator	NOUN
ejpam-4437	45	13	as	as	ADP
ejpam-4437	45	14	the	the	DET
ejpam-4437	45	15	prp	prp	NOUN
ejpam-4437	45	16	,	,	PUNCT
ejpam-4437	45	17	hs	hs	PROPN
ejpam-4437	45	18	,	,	PUNCT
ejpam-4437	45	19	and	and	CCONJ
ejpam-4437	45	20	rmil	rmil	NOUN
ejpam-4437	45	21	formulas	formula	NOUN
ejpam-4437	45	22	.	.	PUNCT
ejpam-4437	46	1	the	the	DET
ejpam-4437	46	2	numerator	numerator	NOUN
ejpam-4437	46	3	was	be	AUX
ejpam-4437	46	4	kept	keep	VERB
ejpam-4437	46	5	to	to	PART
ejpam-4437	46	6	order	order	VERB
ejpam-4437	46	7	to	to	PART
ejpam-4437	46	8	give	give	VERB
ejpam-4437	46	9	the	the	DET
ejpam-4437	46	10	formula	formula	NOUN
ejpam-4437	46	11	the	the	DET
ejpam-4437	46	12	ability	ability	NOUN
ejpam-4437	46	13	to	to	PART
ejpam-4437	46	14	restart	restart	VERB
ejpam-4437	46	15	.	.	PUNCT
ejpam-4437	47	1	βkmar	βkmar	VERB
ejpam-4437	47	2	k	k	NOUN
ejpam-4437	47	3	=	=	SYM
ejpam-4437	47	4	gtk	gtk	NOUN
ejpam-4437	47	5	(	(	PUNCT
ejpam-4437	47	6	gk	gk	NOUN
ejpam-4437	47	7	−	−	PROPN
ejpam-4437	47	8	gk−1	gk−1	PROPN
ejpam-4437	47	9	)	)	PUNCT
ejpam-4437	48	1	gtk−1	gtk−1	PROPN
ejpam-4437	48	2	(	(	PUNCT
ejpam-4437	48	3	gk	gk	PROPN
ejpam-4437	48	4	+	+	CCONJ
ejpam-4437	48	5	gk−1	gk−1	PROPN
ejpam-4437	48	6	)	)	PUNCT
ejpam-4437	48	7	(	(	PUNCT
ejpam-4437	48	8	9	9	X
ejpam-4437	48	9	)	)	PUNCT
ejpam-4437	48	10	this	this	DET
ejpam-4437	48	11	formula	formula	NOUN
ejpam-4437	48	12	can	can	AUX
ejpam-4437	48	13	be	be	AUX
ejpam-4437	48	14	reduced	reduce	VERB
ejpam-4437	48	15	to	to	ADP
ejpam-4437	48	16	the	the	DET
ejpam-4437	48	17	fr	fr	NOUN
ejpam-4437	48	18	or	or	CCONJ
ejpam-4437	48	19	prp	prp	PROPN
ejpam-4437	48	20	parameters	parameter	NOUN
ejpam-4437	48	21	under	under	ADP
ejpam-4437	48	22	certain	certain	ADJ
ejpam-4437	48	23	conditions	condition	NOUN
ejpam-4437	48	24	.	.	PUNCT
ejpam-4437	49	1	the	the	DET
ejpam-4437	49	2	denominator	denominator	NOUN
ejpam-4437	49	3	is	be	AUX
ejpam-4437	49	4	geometrically	geometrically	ADV
ejpam-4437	49	5	similar	similar	ADJ
ejpam-4437	49	6	to	to	ADP
ejpam-4437	49	7	the	the	DET
ejpam-4437	49	8	well	well	ADV
ejpam-4437	49	9	-	-	PUNCT
ejpam-4437	49	10	known	know	VERB
ejpam-4437	49	11	cg	cg	NOUN
ejpam-4437	49	12	denominator	denominator	NOUN
ejpam-4437	49	13	.	.	PUNCT
ejpam-4437	50	1	because	because	SCONJ
ejpam-4437	50	2	(	(	PUNCT
ejpam-4437	50	3	gk	gk	NOUN
ejpam-4437	50	4	+	+	CCONJ
ejpam-4437	50	5	gk−1	gk−1	PROPN
ejpam-4437	50	6	)	)	PUNCT
ejpam-4437	50	7	forms	form	VERB
ejpam-4437	50	8	a	a	DET
ejpam-4437	50	9	vector	vector	NOUN
ejpam-4437	50	10	scaled	scale	VERB
ejpam-4437	50	11	by	by	ADP
ejpam-4437	50	12	gk−1	gk−1	PROPN
ejpam-4437	50	13	.	.	PUNCT
ejpam-4437	51	1	the	the	DET
ejpam-4437	51	2	new	new	ADJ
ejpam-4437	51	3	vector	vector	NOUN
ejpam-4437	51	4	would	would	AUX
ejpam-4437	51	5	be	be	AUX
ejpam-4437	51	6	slightly	slightly	ADV
ejpam-4437	51	7	different	different	ADJ
ejpam-4437	51	8	from	from	ADP
ejpam-4437	51	9	the	the	DET
ejpam-4437	51	10	normal	normal	ADJ
ejpam-4437	51	11	vector	vector	NOUN
ejpam-4437	51	12	produced	produce	VERB
ejpam-4437	51	13	by	by	ADP
ejpam-4437	51	14	the	the	DET
ejpam-4437	51	15	prp	prp	PROPN
ejpam-4437	51	16	parameter	parameter	PROPN
ejpam-4437	51	17	dtk	dtk	PROPN
ejpam-4437	51	18	(	(	PUNCT
ejpam-4437	51	19	gk	gk	PROPN
ejpam-4437	51	20	−	−	PROPN
ejpam-4437	51	21	gk−1	gk−1	PROPN
ejpam-4437	51	22	)	)	PUNCT
ejpam-4437	51	23	.	.	PUNCT
ejpam-4437	52	1	this	this	DET
ejpam-4437	52	2	minor	minor	ADJ
ejpam-4437	52	3	modification	modification	NOUN
ejpam-4437	52	4	would	would	AUX
ejpam-4437	52	5	boost	boost	VERB
ejpam-4437	52	6	the	the	DET
ejpam-4437	52	7	performance	performance	NOUN
ejpam-4437	52	8	while	while	SCONJ
ejpam-4437	52	9	simplifying	simplify	VERB
ejpam-4437	52	10	the	the	DET
ejpam-4437	52	11	convergence	convergence	NOUN
ejpam-4437	52	12	proof	proof	NOUN
ejpam-4437	52	13	.	.	PUNCT
ejpam-4437	53	1	to	to	PART
ejpam-4437	53	2	increase	increase	VERB
ejpam-4437	53	3	the	the	DET
ejpam-4437	53	4	efficiency	efficiency	NOUN
ejpam-4437	53	5	of	of	ADP
ejpam-4437	53	6	the	the	DET
ejpam-4437	53	7	one	one	NUM
ejpam-4437	53	8	-	-	PUNCT
ejpam-4437	53	9	term	term	NOUN
ejpam-4437	53	10	and	and	CCONJ
ejpam-4437	53	11	two	two	NUM
ejpam-4437	53	12	-	-	PUNCT
ejpam-4437	53	13	term	term	NOUN
ejpam-4437	53	14	cg	cg	NOUN
ejpam-4437	53	15	methods	method	NOUN
ejpam-4437	53	16	.	.	PUNCT
ejpam-4437	54	1	the	the	DET
ejpam-4437	54	2	ttcg	ttcg	NOUN
ejpam-4437	54	3	has	have	AUX
ejpam-4437	54	4	been	be	AUX
ejpam-4437	54	5	extensively	extensively	ADV
ejpam-4437	54	6	studied	study	VERB
ejpam-4437	54	7	and	and	CCONJ
ejpam-4437	54	8	emphasized	emphasize	VERB
ejpam-4437	54	9	since	since	SCONJ
ejpam-4437	54	10	its	its	PRON
ejpam-4437	54	11	exception	exception	NOUN
ejpam-4437	54	12	.	.	PUNCT
ejpam-4437	55	1	the	the	DET
ejpam-4437	55	2	performance	performance	NOUN
ejpam-4437	55	3	of	of	ADP
ejpam-4437	55	4	this	this	DET
ejpam-4437	55	5	class	class	NOUN
ejpam-4437	55	6	of	of	ADP
ejpam-4437	55	7	cg	cg	NOUN
ejpam-4437	55	8	methods	method	NOUN
ejpam-4437	55	9	is	be	AUX
ejpam-4437	55	10	heavily	heavily	ADV
ejpam-4437	55	11	dependent	dependent	ADJ
ejpam-4437	55	12	on	on	ADP
ejpam-4437	55	13	how	how	SCONJ
ejpam-4437	55	14	the	the	DET
ejpam-4437	55	15	scalar	scalar	ADJ
ejpam-4437	55	16	parameter	parameter	NOUN
ejpam-4437	55	17	is	be	AUX
ejpam-4437	55	18	chosen	choose	VERB
ejpam-4437	55	19	.	.	PUNCT
ejpam-4437	56	1	yanlin	yanlin	PROPN
ejpam-4437	57	1	[	[	X
ejpam-4437	57	2	18	18	NUM
ejpam-4437	57	3	]	]	PUNCT
ejpam-4437	57	4	recently	recently	ADV
ejpam-4437	57	5	improved	improve	VERB
ejpam-4437	57	6	the	the	DET
ejpam-4437	57	7	zhang	zhang	PROPN
ejpam-4437	58	1	[	[	X
ejpam-4437	58	2	23	23	NUM
ejpam-4437	58	3	]	]	SYM
ejpam-4437	58	4	method	method	NOUN
ejpam-4437	58	5	by	by	ADP
ejpam-4437	58	6	constructing	construct	VERB
ejpam-4437	58	7	a	a	DET
ejpam-4437	58	8	new	new	ADJ
ejpam-4437	58	9	modified	modified	ADJ
ejpam-4437	58	10	prp	prp	NOUN
ejpam-4437	58	11	parameter	parameter	NOUN
ejpam-4437	58	12	,	,	PUNCT
ejpam-4437	58	13	mprp	mprp	NOUN
ejpam-4437	58	14	.	.	PUNCT
ejpam-4437	59	1	the	the	DET
ejpam-4437	59	2	performance	performance	NOUN
ejpam-4437	59	3	is	be	AUX
ejpam-4437	59	4	quite	quite	ADV
ejpam-4437	59	5	good	good	ADJ
ejpam-4437	59	6	.	.	PUNCT
ejpam-4437	60	1	at	at	ADP
ejpam-4437	60	2	this	this	DET
ejpam-4437	60	3	point	point	NOUN
ejpam-4437	60	4	,	,	PUNCT
ejpam-4437	60	5	we	we	PRON
ejpam-4437	60	6	should	should	AUX
ejpam-4437	60	7	recall	recall	VERB
ejpam-4437	60	8	that	that	SCONJ
ejpam-4437	60	9	the	the	DET
ejpam-4437	60	10	approximation	approximation	NOUN
ejpam-4437	60	11	matrix	matrix	NOUN
ejpam-4437	60	12	bk	bk	PRON
ejpam-4437	60	13	must	must	AUX
ejpam-4437	60	14	satisfy	satisfy	VERB
ejpam-4437	60	15	the	the	DET
ejpam-4437	60	16	secant	secant	ADJ
ejpam-4437	60	17	condition	condition	NOUN
ejpam-4437	60	18	for	for	ADP
ejpam-4437	60	19	quasi	quasi	PROPN
ejpam-4437	60	20	-	-	ADJ
ejpam-4437	60	21	newton	newton	PROPN
ejpam-4437	60	22	methods	method	NOUN
ejpam-4437	60	23	:	:	PUNCT
ejpam-4437	60	24	bksk−1	bksk−1	NUM
ejpam-4437	60	25	=	=	SYM
ejpam-4437	60	26	yk−1	yk−1	PROPN
ejpam-4437	60	27	(	(	PUNCT
ejpam-4437	60	28	10	10	NUM
ejpam-4437	60	29	)	)	PUNCT
ejpam-4437	60	30	zhang	zhang	PROPN
ejpam-4437	60	31	et	et	PROPN
ejpam-4437	60	32	al	al	PROPN
ejpam-4437	60	33	.	.	PUNCT
ejpam-4437	61	1	[	[	X
ejpam-4437	61	2	21	21	NUM
ejpam-4437	61	3	]	]	PUNCT
ejpam-4437	61	4	and	and	CCONJ
ejpam-4437	61	5	zhang	zhang	PROPN
ejpam-4437	61	6	and	and	CCONJ
ejpam-4437	61	7	xu	xu	PROPN
ejpam-4437	62	1	[	[	X
ejpam-4437	62	2	20	20	NUM
ejpam-4437	62	3	]	]	PUNCT
ejpam-4437	62	4	using	use	VERB
ejpam-4437	62	5	taylorâe	taylorâe	ADV
ejpam-4437	62	6	™	™	NOUN
ejpam-4437	62	7	s	s	PART
ejpam-4437	62	8	series	series	NOUN
ejpam-4437	62	9	proposed	propose	VERB
ejpam-4437	62	10	the	the	DET
ejpam-4437	62	11	following	follow	VERB
ejpam-4437	62	12	modified	modify	VERB
ejpam-4437	62	13	secant	secant	ADJ
ejpam-4437	62	14	condition	condition	NOUN
ejpam-4437	62	15	by	by	ADP
ejpam-4437	62	16	expanding	expand	VERB
ejpam-4437	62	17	condition	condition	NOUN
ejpam-4437	62	18	(	(	PUNCT
ejpam-4437	62	19	10	10	NUM
ejpam-4437	62	20	)	)	PUNCT
ejpam-4437	62	21	.	.	PUNCT
ejpam-4437	63	1	bksk−1	bksk−1	PUNCT
ejpam-4437	63	2	=	=	SYM
ejpam-4437	63	3	µk−1	µk−1	ADJ
ejpam-4437	63	4	,	,	PUNCT
ejpam-4437	63	5	µk−1	µk−1	NOUN
ejpam-4437	63	6	=	=	SYM
ejpam-4437	63	7	yk−1	yk−1	NOUN
ejpam-4437	63	8	+	+	CCONJ
ejpam-4437	63	9	φk−1	φk−1	PROPN
ejpam-4437	63	10	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	63	11	.sk−1	.sk−1	PUNCT
ejpam-4437	64	1	(	(	PUNCT
ejpam-4437	64	2	11	11	NUM
ejpam-4437	64	3	)	)	PUNCT
ejpam-4437	64	4	φk−1	φk−1	NOUN
ejpam-4437	64	5	=	=	NOUN
ejpam-4437	64	6	6	6	NUM
ejpam-4437	64	7	(	(	PUNCT
ejpam-4437	64	8	uk−1	uk−1	PROPN
ejpam-4437	64	9	−	−	PROPN
ejpam-4437	64	10	uk	uk	PROPN
ejpam-4437	64	11	)	)	PUNCT
ejpam-4437	64	12	+	+	CCONJ
ejpam-4437	64	13	3	3	NUM
ejpam-4437	64	14	(	(	PUNCT
ejpam-4437	64	15	gk−1	gk−1	PROPN
ejpam-4437	64	16	+	+	CCONJ
ejpam-4437	64	17	gk	gk	NOUN
ejpam-4437	64	18	)	)	PUNCT
ejpam-4437	64	19	(	(	PUNCT
ejpam-4437	64	20	12	12	NUM
ejpam-4437	64	21	)	)	PUNCT
ejpam-4437	64	22	where	where	SCONJ
ejpam-4437	64	23	uk	uk	PROPN
ejpam-4437	64	24	=	=	PROPN
ejpam-4437	64	25	u	u	PROPN
ejpam-4437	64	26	(	(	PUNCT
ejpam-4437	64	27	xk	xk	PROPN
ejpam-4437	64	28	)	)	PUNCT
ejpam-4437	64	29	.	.	PUNCT
ejpam-4437	65	1	yabe	yabe	PROPN
ejpam-4437	65	2	and	and	CCONJ
ejpam-4437	65	3	takano	takano	PROPN
ejpam-4437	66	1	[	[	X
ejpam-4437	66	2	19	19	NUM
ejpam-4437	66	3	]	]	PUNCT
ejpam-4437	66	4	extended	extend	VERB
ejpam-4437	66	5	the	the	DET
ejpam-4437	66	6	modified	modify	VERB
ejpam-4437	66	7	secant	secant	ADJ
ejpam-4437	66	8	relation	relation	NOUN
ejpam-4437	66	9	(	(	PUNCT
ejpam-4437	66	10	11	11	NUM
ejpam-4437	66	11	)	)	PUNCT
ejpam-4437	66	12	by	by	ADP
ejpam-4437	66	13	multiplying	multiply	VERB
ejpam-4437	66	14	a	a	DET
ejpam-4437	66	15	fixed	fix	VERB
ejpam-4437	66	16	parameter	parameter	NOUN
ejpam-4437	66	17	ε	ε	PROPN
ejpam-4437	66	18	≥	≥	PROPN
ejpam-4437	66	19	0	0	NUM
ejpam-4437	66	20	,	,	PUNCT
ejpam-4437	66	21	as	as	SCONJ
ejpam-4437	66	22	expressed	express	VERB
ejpam-4437	66	23	by	by	ADP
ejpam-4437	66	24	the	the	DET
ejpam-4437	66	25	expression	expression	NOUN
ejpam-4437	66	26	:	:	PUNCT
ejpam-4437	67	1	bksk−1	bksk−1	NUM
ejpam-4437	67	2	=	=	SYM
ejpam-4437	67	3	µk−1	µk−1	ADJ
ejpam-4437	67	4	,	,	PUNCT
ejpam-4437	67	5	µk−1	µk−1	NOUN
ejpam-4437	67	6	=	=	SYM
ejpam-4437	67	7	yk−1	yk−1	PROPN
ejpam-4437	67	8	+	+	CCONJ
ejpam-4437	67	9	ε	ε	PROPN
ejpam-4437	67	10	φk−1	φk−1	NOUN
ejpam-4437	67	11	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	67	12	sk−1	sk−1	PROPN
ejpam-4437	67	13	(	(	PUNCT
ejpam-4437	67	14	13	13	NUM
ejpam-4437	67	15	)	)	PUNCT
ejpam-4437	67	16	babaie	babaie	NOUN
ejpam-4437	67	17	-	-	PUNCT
ejpam-4437	67	18	kafaki	kafaki	PROPN
ejpam-4437	67	19	et	et	PROPN
ejpam-4437	67	20	al	al	PROPN
ejpam-4437	67	21	.	.	PUNCT
ejpam-4437	68	1	[	[	X
ejpam-4437	68	2	6	6	NUM
ejpam-4437	68	3	]	]	PUNCT
ejpam-4437	68	4	presented	present	VERB
ejpam-4437	68	5	the	the	DET
ejpam-4437	68	6	following	follow	VERB
ejpam-4437	68	7	modified	modify	VERB
ejpam-4437	68	8	version	version	NOUN
ejpam-4437	68	9	of	of	ADP
ejpam-4437	68	10	equation	equation	NOUN
ejpam-4437	68	11	(	(	PUNCT
ejpam-4437	68	12	12	12	NUM
ejpam-4437	68	13	):	):	PUNCT
ejpam-4437	68	14	bksk−1	bksk−1	PROPN
ejpam-4437	68	15	=	=	SYM
ejpam-4437	68	16	µk−1	µk−1	PROPN
ejpam-4437	68	17	,	,	PUNCT
ejpam-4437	68	18	bksk−1	bksk−1	PROPN
ejpam-4437	68	19	=	=	SYM
ejpam-4437	68	20	µk−1	µk−1	ADJ
ejpam-4437	68	21	,	,	PUNCT
ejpam-4437	68	22	µk−1	µk−1	NOUN
ejpam-4437	68	23	=	=	SYM
ejpam-4437	68	24	yk−1	yk−1	PROPN
ejpam-4437	68	25	+	+	CCONJ
ejpam-4437	68	26	ε	ε	PROPN
ejpam-4437	68	27	max{0	max{0	PROPN
ejpam-4437	68	28	,	,	PUNCT
ejpam-4437	68	29	φk−1	φk−1	NOUN
ejpam-4437	68	30	}	}	PUNCT
ejpam-4437	68	31	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	68	32	sk−1	sk−1	PROPN
ejpam-4437	68	33	(	(	PUNCT
ejpam-4437	68	34	14	14	NUM
ejpam-4437	68	35	)	)	PUNCT
ejpam-4437	68	36	in	in	ADP
ejpam-4437	68	37	this	this	DET
ejpam-4437	68	38	paper	paper	NOUN
ejpam-4437	68	39	,	,	PUNCT
ejpam-4437	68	40	we	we	PRON
ejpam-4437	68	41	are	be	AUX
ejpam-4437	68	42	motivated	motivated	ADJ
ejpam-4437	68	43	to	to	PART
ejpam-4437	68	44	develop	develop	VERB
ejpam-4437	68	45	ttcgm	ttcgm	PROPN
ejpam-4437	68	46	that	that	PRON
ejpam-4437	68	47	meets	meet	VERB
ejpam-4437	68	48	the	the	DET
ejpam-4437	68	49	sdp	sdp	NOUN
ejpam-4437	68	50	and	and	CCONJ
ejpam-4437	68	51	achieves	achieve	VERB
ejpam-4437	68	52	gcp	gcp	PROPN
ejpam-4437	68	53	under	under	ADP
ejpam-4437	68	54	swpl	swpl	NOUN
ejpam-4437	68	55	.	.	PUNCT
ejpam-4437	69	1	gh	gh	PROPN
ejpam-4437	69	2	.	.	PROPN
ejpam-4437	69	3	m.	m.	PROPN
ejpam-4437	69	4	al	al	PROPN
ejpam-4437	69	5	-	-	PUNCT
ejpam-4437	69	6	naemi	naemi	PROPN
ejpam-4437	69	7	,	,	PUNCT
ejpam-4437	69	8	f.	f.	PROPN
ejpam-4437	69	9	m.	m.	PROPN
ejpam-4437	69	10	saeed	saeed	PROPN
ejpam-4437	69	11	/	/	SYM
ejpam-4437	69	12	eur	eur	PROPN
ejpam-4437	69	13	.	.	PUNCT
ejpam-4437	70	1	j.	j.	PROPN
ejpam-4437	70	2	pure	pure	PROPN
ejpam-4437	70	3	appl	appl	PROPN
ejpam-4437	70	4	.	.	PROPN
ejpam-4437	70	5	math	math	PROPN
ejpam-4437	70	6	,	,	PUNCT
ejpam-4437	70	7	15	15	NUM
ejpam-4437	70	8	(	(	PUNCT
ejpam-4437	70	9	3	3	NUM
ejpam-4437	70	10	)	)	PUNCT
ejpam-4437	70	11	(	(	PUNCT
ejpam-4437	70	12	2022	2022	NUM
ejpam-4437	70	13	)	)	PUNCT
ejpam-4437	70	14	,	,	PUNCT
ejpam-4437	70	15	1254	1254	NUM
ejpam-4437	70	16	-	-	SYM
ejpam-4437	70	17	1264	1264	NUM
ejpam-4437	70	18	1257	1257	NUM
ejpam-4437	70	19	3	3	NUM
ejpam-4437	70	20	.	.	PUNCT
ejpam-4437	70	21	modified	modify	VERB
ejpam-4437	70	22	ttkmar	ttkmar	PROPN
ejpam-4437	70	23	cg	cg	NOUN
ejpam-4437	70	24	-	-	PUNCT
ejpam-4437	70	25	method	method	NOUN
ejpam-4437	70	26	to	to	PART
ejpam-4437	70	27	develop	develop	VERB
ejpam-4437	70	28	a	a	DET
ejpam-4437	70	29	new	new	ADJ
ejpam-4437	70	30	method	method	NOUN
ejpam-4437	70	31	that	that	PRON
ejpam-4437	70	32	is	be	AUX
ejpam-4437	70	33	globally	globally	ADV
ejpam-4437	70	34	convergent	convergent	ADJ
ejpam-4437	70	35	in	in	ADP
ejpam-4437	70	36	the	the	DET
ejpam-4437	70	37	face	face	NOUN
ejpam-4437	70	38	of	of	ADP
ejpam-4437	70	39	inexact	inexact	ADJ
ejpam-4437	70	40	line	line	NOUN
ejpam-4437	70	41	search	search	NOUN
ejpam-4437	70	42	.	.	PUNCT
ejpam-4437	71	1	in	in	ADP
ejpam-4437	71	2	the	the	DET
ejpam-4437	71	3	following	following	ADJ
ejpam-4437	71	4	section	section	NOUN
ejpam-4437	71	5	,	,	PUNCT
ejpam-4437	71	6	we	we	PRON
ejpam-4437	71	7	will	will	AUX
ejpam-4437	71	8	create	create	VERB
ejpam-4437	71	9	our	our	PRON
ejpam-4437	71	10	new	new	ADJ
ejpam-4437	71	11	ttkmar	ttkmar	NOUN
ejpam-4437	71	12	method	method	NOUN
ejpam-4437	71	13	using	use	VERB
ejpam-4437	71	14	the	the	DET
ejpam-4437	71	15	modified	modify	VERB
ejpam-4437	71	16	βkmar	βkmar	NOUN
ejpam-4437	71	17	k	k	PROPN
ejpam-4437	71	18	by	by	ADP
ejpam-4437	71	19	:	:	PUNCT
ejpam-4437	71	20	βmkmar	βmkmar	NOUN
ejpam-4437	71	21	k	k	NOUN
ejpam-4437	71	22	=	=	PUNCT
ejpam-4437	71	23	gtk	gtk	PROPN
ejpam-4437	71	24	µk−1	µk−1	PROPN
ejpam-4437	71	25	gtk−1	gtk−1	PROPN
ejpam-4437	71	26	(	(	PUNCT
ejpam-4437	71	27	gk	gk	PROPN
ejpam-4437	71	28	+	+	CCONJ
ejpam-4437	71	29	gk−1	gk−1	PROPN
ejpam-4437	71	30	)	)	PUNCT
ejpam-4437	71	31	(	(	PUNCT
ejpam-4437	71	32	15	15	NUM
ejpam-4437	71	33	)	)	PUNCT
ejpam-4437	71	34	with	with	ADP
ejpam-4437	71	35	µk−1	µk−1	NOUN
ejpam-4437	71	36	=	=	SYM
ejpam-4437	71	37	yk−1	yk−1	NOUN
ejpam-4437	71	38	+	+	CCONJ
ejpam-4437	71	39	φk−1	φk−1	PROPN
ejpam-4437	71	40	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	71	41	.sk−1	.sk−1	PUNCT
ejpam-4437	71	42	and	and	CCONJ
ejpam-4437	71	43	φk−1	φk−1	NOUN
ejpam-4437	71	44	=	=	SYM
ejpam-4437	71	45	gtk	gtk	NOUN
ejpam-4437	71	46	dk−1	dk−1	PROPN
ejpam-4437	71	47	gtk−1(gk+gk−1	gtk−1(gk+gk−1	PROPN
ejpam-4437	71	48	)	)	PUNCT
ejpam-4437	71	49	.	.	PUNCT
ejpam-4437	72	1	then	then	ADV
ejpam-4437	72	2	the	the	DET
ejpam-4437	72	3	direction	direction	NOUN
ejpam-4437	72	4	will	will	AUX
ejpam-4437	72	5	be	be	AUX
ejpam-4437	72	6	defined	define	VERB
ejpam-4437	72	7	by	by	ADP
ejpam-4437	72	8	:	:	PUNCT
ejpam-4437	72	9	dk	dk	PROPN
ejpam-4437	72	10	=	=	X
ejpam-4437	72	11	{	{	PUNCT
ejpam-4437	72	12	−gk	−gk	NOUN
ejpam-4437	72	13	,	,	PUNCT
ejpam-4437	72	14	k	k	PROPN
ejpam-4437	72	15	=	=	SYM
ejpam-4437	72	16	0	0	PUNCT
ejpam-4437	73	1	−gk	−gk	PROPN
ejpam-4437	73	2	+	+	CCONJ
ejpam-4437	73	3	βmkmar	βmkmar	ADJ
ejpam-4437	73	4	k	k	PROPN
ejpam-4437	73	5	dk−1	dk−1	PROPN
ejpam-4437	73	6	−	−	PROPN
ejpam-4437	73	7	φk−1yk−1	φk−1yk−1	NUM
ejpam-4437	73	8	,	,	PUNCT
ejpam-4437	73	9	k	k	PROPN
ejpam-4437	73	10	≥	≥	NUM
ejpam-4437	73	11	1	1	NUM
ejpam-4437	73	12	(	(	PUNCT
ejpam-4437	73	13	16	16	NUM
ejpam-4437	73	14	)	)	PUNCT
ejpam-4437	73	15	3.1	3.1	NUM
ejpam-4437	73	16	.	.	PUNCT
ejpam-4437	74	1	algorithm	algorithm	NOUN
ejpam-4437	74	2	(	(	PUNCT
ejpam-4437	74	3	ttkmar	ttkmar	NOUN
ejpam-4437	74	4	)	)	PUNCT
ejpam-4437	74	5	1	1	NUM
ejpam-4437	74	6	.	.	X
ejpam-4437	74	7	choose	choose	VERB
ejpam-4437	74	8	x0	x0	PROPN
ejpam-4437	74	9	∈	∈	PROPN
ejpam-4437	74	10	rn,∈	rn,∈	VERB
ejpam-4437	74	11	>	>	X
ejpam-4437	74	12	0	0	PROPN
ejpam-4437	74	13	,	,	PUNCT
ejpam-4437	74	14	dk	dk	PROPN
ejpam-4437	74	15	=	=	PUNCT
ejpam-4437	74	16	−gk	−gk	NOUN
ejpam-4437	74	17	,	,	PUNCT
ejpam-4437	74	18	set	set	VERB
ejpam-4437	74	19	k	k	PROPN
ejpam-4437	74	20	=	=	PUNCT
ejpam-4437	74	21	0	0	NUM
ejpam-4437	74	22	.	.	NOUN
ejpam-4437	75	1	2	2	NUM
ejpam-4437	75	2	.	.	X
ejpam-4437	76	1	if	if	SCONJ
ejpam-4437	76	2	||gk||	||gk||	VERB
ejpam-4437	76	3	≤	≤	NUM
ejpam-4437	76	4	1×	1×	NUM
ejpam-4437	76	5	10−5	10−5	NUM
ejpam-4437	76	6	,	,	PUNCT
ejpam-4437	76	7	then	then	ADV
ejpam-4437	76	8	stop	stop	VERB
ejpam-4437	76	9	;	;	PUNCT
ejpam-4437	76	10	otherwise	otherwise	ADV
ejpam-4437	76	11	,	,	PUNCT
ejpam-4437	76	12	go	go	VERB
ejpam-4437	76	13	to	to	ADP
ejpam-4437	76	14	the	the	DET
ejpam-4437	76	15	next	next	ADJ
ejpam-4437	76	16	step	step	NOUN
ejpam-4437	76	17	.	.	PUNCT
ejpam-4437	77	1	3	3	X
ejpam-4437	77	2	.	.	X
ejpam-4437	77	3	calculate	calculate	NOUN
ejpam-4437	77	4	γk−1	γk−1	PROPN
ejpam-4437	77	5	by	by	ADP
ejpam-4437	77	6	using	use	VERB
ejpam-4437	77	7	swpl	swpl	NOUN
ejpam-4437	77	8	defined	define	VERB
ejpam-4437	77	9	in	in	ADP
ejpam-4437	77	10	(	(	PUNCT
ejpam-4437	77	11	4	4	NUM
ejpam-4437	77	12	)	)	PUNCT
ejpam-4437	77	13	and	and	CCONJ
ejpam-4437	77	14	(	(	PUNCT
ejpam-4437	77	15	5	5	NUM
ejpam-4437	77	16	)	)	PUNCT
ejpam-4437	77	17	.	.	PUNCT
ejpam-4437	78	1	4	4	X
ejpam-4437	78	2	.	.	X
ejpam-4437	78	3	calculate	calculate	NOUN
ejpam-4437	78	4	xk	xk	PROPN
ejpam-4437	78	5	by	by	ADP
ejpam-4437	78	6	(	(	PUNCT
ejpam-4437	78	7	2	2	NUM
ejpam-4437	78	8	)	)	PUNCT
ejpam-4437	78	9	,	,	PUNCT
ejpam-4437	78	10	and	and	CCONJ
ejpam-4437	78	11	compute	compute	PROPN
ejpam-4437	78	12	gk	gk	PROPN
ejpam-4437	78	13	,	,	PUNCT
ejpam-4437	78	14	uk	uk	PROPN
ejpam-4437	78	15	.	.	PROPN
ejpam-4437	78	16	5	5	NUM
ejpam-4437	78	17	.	.	X
ejpam-4437	78	18	compute	compute	VERB
ejpam-4437	78	19	the	the	DET
ejpam-4437	78	20	direction	direction	NOUN
ejpam-4437	78	21	dk	dk	PROPN
ejpam-4437	78	22	by	by	ADP
ejpam-4437	78	23	(	(	PUNCT
ejpam-4437	78	24	16	16	NUM
ejpam-4437	78	25	)	)	PUNCT
ejpam-4437	78	26	.	.	PUNCT
ejpam-4437	79	1	6	6	X
ejpam-4437	79	2	.	.	X
ejpam-4437	80	1	if	if	SCONJ
ejpam-4437	80	2	||gk||	||gk||	ADJ
ejpam-4437	80	3	≤∈	≤∈	NOUN
ejpam-4437	80	4	,	,	PUNCT
ejpam-4437	80	5	stop	stop	VERB
ejpam-4437	80	6	;	;	PUNCT
ejpam-4437	80	7	otherwise	otherwise	ADV
ejpam-4437	80	8	go	go	VERB
ejpam-4437	80	9	to	to	ADP
ejpam-4437	80	10	the	the	DET
ejpam-4437	80	11	next	next	ADJ
ejpam-4437	80	12	step	step	NOUN
ejpam-4437	80	13	.	.	PUNCT
ejpam-4437	81	1	7	7	X
ejpam-4437	81	2	.	.	X
ejpam-4437	82	1	if	if	SCONJ
ejpam-4437	82	2	k	k	PROPN
ejpam-4437	82	3	=	=	PUNCT
ejpam-4437	82	4	n	n	PROPN
ejpam-4437	82	5	or	or	CCONJ
ejpam-4437	82	6	∣∣gtk	∣∣gtk	NUM
ejpam-4437	82	7	gk−1	gk−1	PROPN
ejpam-4437	82	8	∣∣	∣∣	NUM
ejpam-4437	82	9	≥	≥	X
ejpam-4437	82	10	(	(	PUNCT
ejpam-4437	82	11	0.2	0.2	NUM
ejpam-4437	82	12	)	)	PUNCT
ejpam-4437	82	13	.	.	PUNCT
ejpam-4437	83	1	(	(	PUNCT
ejpam-4437	83	2	||gk||2	||gk||2	NOUN
ejpam-4437	83	3	)	)	PUNCT
ejpam-4437	83	4	is	be	AUX
ejpam-4437	83	5	hold	hold	VERB
ejpam-4437	83	6	,	,	PUNCT
ejpam-4437	83	7	proceed	proceed	VERB
ejpam-4437	83	8	step	step	NOUN
ejpam-4437	83	9	1	1	NUM
ejpam-4437	83	10	;	;	PUNCT
ejpam-4437	83	11	otherwise	otherwise	ADV
ejpam-4437	83	12	,	,	PUNCT
ejpam-4437	83	13	proceed	proceed	VERB
ejpam-4437	83	14	to	to	ADP
ejpam-4437	83	15	next	next	ADJ
ejpam-4437	83	16	step	step	NOUN
ejpam-4437	83	17	.	.	PUNCT
ejpam-4437	84	1	8	8	X
ejpam-4437	84	2	.	.	X
ejpam-4437	84	3	put	put	VERB
ejpam-4437	84	4	k	k	X
ejpam-4437	85	1	=	=	PUNCT
ejpam-4437	85	2	k	k	PROPN
ejpam-4437	86	1	+	+	PROPN
ejpam-4437	86	2	1	1	NUM
ejpam-4437	86	3	,	,	PUNCT
ejpam-4437	86	4	and	and	CCONJ
ejpam-4437	86	5	go	go	VERB
ejpam-4437	86	6	to	to	ADP
ejpam-4437	86	7	(	(	PUNCT
ejpam-4437	86	8	2	2	NUM
ejpam-4437	86	9	)	)	PUNCT
ejpam-4437	86	10	.	.	PUNCT
ejpam-4437	87	1	the	the	DET
ejpam-4437	87	2	ttkmar	ttkmar	PROPN
ejpam-4437	87	3	method	method	NOUN
ejpam-4437	87	4	meets	meet	VERB
ejpam-4437	87	5	the	the	DET
ejpam-4437	87	6	sdp	sdp	NOUN
ejpam-4437	87	7	,	,	PUNCT
ejpam-4437	87	8	as	as	SCONJ
ejpam-4437	87	9	demonstrated	demonstrate	VERB
ejpam-4437	87	10	by	by	ADP
ejpam-4437	87	11	the	the	DET
ejpam-4437	87	12	following	follow	VERB
ejpam-4437	87	13	lemma	lemma	PROPN
ejpam-4437	87	14	.	.	PUNCT
ejpam-4437	88	1	theorem	theorem	PROPN
ejpam-4437	88	2	1	1	NUM
ejpam-4437	88	3	.	.	PUNCT
ejpam-4437	88	4	suppose	suppose	VERB
ejpam-4437	88	5	that	that	SCONJ
ejpam-4437	88	6	the	the	DET
ejpam-4437	88	7	sequences	sequence	NOUN
ejpam-4437	88	8	{	{	PUNCT
ejpam-4437	88	9	gn	gn	X
ejpam-4437	88	10	}	}	PUNCT
ejpam-4437	88	11	and	and	CCONJ
ejpam-4437	88	12	{	{	PUNCT
ejpam-4437	88	13	dn	dn	VERB
ejpam-4437	88	14	}	}	PUNCT
ejpam-4437	88	15	are	be	AUX
ejpam-4437	88	16	generated	generate	VERB
ejpam-4437	88	17	by	by	ADP
ejpam-4437	88	18	the	the	DET
ejpam-4437	88	19	ttkmar	ttkmar	NOUN
ejpam-4437	88	20	method	method	NOUN
ejpam-4437	88	21	and	and	CCONJ
ejpam-4437	88	22	the	the	DET
ejpam-4437	88	23	step	step	NOUN
ejpam-4437	88	24	size	size	NOUN
ejpam-4437	88	25	γk	γk	NOUN
ejpam-4437	88	26	by	by	ADP
ejpam-4437	88	27	using	use	VERB
ejpam-4437	88	28	swpl	swpl	NOUN
ejpam-4437	88	29	defined	define	VERB
ejpam-4437	88	30	in	in	ADP
ejpam-4437	88	31	(	(	PUNCT
ejpam-4437	88	32	4	4	NUM
ejpam-4437	88	33	)	)	PUNCT
ejpam-4437	88	34	and	and	CCONJ
ejpam-4437	88	35	(	(	PUNCT
ejpam-4437	88	36	5	5	NUM
ejpam-4437	88	37	)	)	PUNCT
ejpam-4437	88	38	.	.	PUNCT
ejpam-4437	89	1	then	then	ADV
ejpam-4437	89	2	dtk	dtk	PROPN
ejpam-4437	89	3	gk	gk	PROPN
ejpam-4437	89	4	≤	≤	PROPN
ejpam-4437	89	5	−τ.||gk||2	−τ.||gk||2	PROPN
ejpam-4437	89	6	,	,	PUNCT
ejpam-4437	89	7	with	with	ADP
ejpam-4437	89	8	τ	τ	X
ejpam-4437	89	9	=	=	PUNCT
ejpam-4437	89	10	[	[	PUNCT
ejpam-4437	89	11	1−	1−	NUM
ejpam-4437	89	12	δω	δω	NOUN
ejpam-4437	89	13	a.δ2	a.δ2	PROPN
ejpam-4437	89	14	]	]	PUNCT
ejpam-4437	89	15	∀k	∀k	X
ejpam-4437	89	16	≥	≥	NUM
ejpam-4437	89	17	0	0	NUM
ejpam-4437	89	18	(	(	PUNCT
ejpam-4437	89	19	17	17	NUM
ejpam-4437	89	20	)	)	PUNCT
ejpam-4437	89	21	proof	proof	NOUN
ejpam-4437	89	22	.	.	PUNCT
ejpam-4437	90	1	we	we	PRON
ejpam-4437	90	2	arrive	arrive	VERB
ejpam-4437	90	3	at	at	ADP
ejpam-4437	90	4	the	the	DET
ejpam-4437	90	5	conclusion	conclusion	NOUN
ejpam-4437	90	6	(	(	PUNCT
ejpam-4437	90	7	16	16	NUM
ejpam-4437	90	8	)	)	PUNCT
ejpam-4437	90	9	through	through	ADP
ejpam-4437	90	10	mathematical	mathematical	ADJ
ejpam-4437	90	11	induction	induction	NOUN
ejpam-4437	90	12	.	.	PUNCT
ejpam-4437	91	1	for	for	ADP
ejpam-4437	91	2	k	k	PROPN
ejpam-4437	91	3	=	=	SYM
ejpam-4437	91	4	0	0	NUM
ejpam-4437	91	5	,	,	PUNCT
ejpam-4437	91	6	dt0	dt0	NOUN
ejpam-4437	91	7	g0	g0	NOUN
ejpam-4437	91	8	=	=	SYM
ejpam-4437	91	9	−||g0||2	−||g0||2	PROPN
ejpam-4437	91	10	,	,	PUNCT
ejpam-4437	91	11	holds	hold	VERB
ejpam-4437	91	12	.	.	PUNCT
ejpam-4437	92	1	if	if	SCONJ
ejpam-4437	92	2	we	we	PRON
ejpam-4437	92	3	assume	assume	VERB
ejpam-4437	92	4	that	that	SCONJ
ejpam-4437	92	5	conclusion	conclusion	NOUN
ejpam-4437	92	6	(	(	PUNCT
ejpam-4437	92	7	17	17	NUM
ejpam-4437	92	8	)	)	PUNCT
ejpam-4437	92	9	holds	hold	VERB
ejpam-4437	92	10	true	true	ADJ
ejpam-4437	92	11	for	for	ADP
ejpam-4437	92	12	k−	k−	PROPN
ejpam-4437	92	13	1	1	NUM
ejpam-4437	92	14	,	,	PUNCT
ejpam-4437	92	15	we	we	PRON
ejpam-4437	92	16	have	have	VERB
ejpam-4437	92	17	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4437	92	18	≤	≤	NOUN
ejpam-4437	92	19	−τ.||gk−1||2	−τ.||gk−1||2	NOUN
ejpam-4437	92	20	we	we	PRON
ejpam-4437	92	21	have	have	VERB
ejpam-4437	92	22	from	from	ADP
ejpam-4437	92	23	(	(	PUNCT
ejpam-4437	92	24	16	16	NUM
ejpam-4437	92	25	)	)	PUNCT
ejpam-4437	93	1	dk	dk	NOUN
ejpam-4437	93	2	=	=	PUNCT
ejpam-4437	93	3	−gk	−gk	PROPN
ejpam-4437	93	4	+	+	NOUN
ejpam-4437	93	5	gtk	gtk	NOUN
ejpam-4437	93	6	µk−1	µk−1	PROPN
ejpam-4437	93	7	gtk−1	gtk−1	PROPN
ejpam-4437	93	8	(	(	PUNCT
ejpam-4437	93	9	gk	gk	PROPN
ejpam-4437	93	10	+	+	CCONJ
ejpam-4437	93	11	gk−1	gk−1	ADJ
ejpam-4437	93	12	)	)	PUNCT
ejpam-4437	93	13	dk−1	dk−1	NOUN
ejpam-4437	93	14	−	−	NOUN
ejpam-4437	93	15	gtk	gtk	NOUN
ejpam-4437	93	16	dk−1	dk−1	PROPN
ejpam-4437	93	17	gtk−1	gtk−1	PROPN
ejpam-4437	93	18	(	(	PUNCT
ejpam-4437	93	19	gk	gk	PROPN
ejpam-4437	93	20	+	+	CCONJ
ejpam-4437	93	21	gk−1	gk−1	PROPN
ejpam-4437	93	22	)	)	PUNCT
ejpam-4437	93	23	yk−1	yk−1	PROPN
ejpam-4437	93	24	gh	gh	PROPN
ejpam-4437	93	25	.	.	PUNCT
ejpam-4437	94	1	m.	m.	PROPN
ejpam-4437	94	2	al	al	PROPN
ejpam-4437	94	3	-	-	PUNCT
ejpam-4437	94	4	naemi	naemi	PROPN
ejpam-4437	94	5	,	,	PUNCT
ejpam-4437	94	6	f.	f.	PROPN
ejpam-4437	94	7	m.	m.	PROPN
ejpam-4437	94	8	saeed	saeed	PROPN
ejpam-4437	94	9	/	/	SYM
ejpam-4437	94	10	eur	eur	PROPN
ejpam-4437	94	11	.	.	PUNCT
ejpam-4437	95	1	j.	j.	PROPN
ejpam-4437	95	2	pure	pure	PROPN
ejpam-4437	95	3	appl	appl	PROPN
ejpam-4437	95	4	.	.	PROPN
ejpam-4437	95	5	math	math	PROPN
ejpam-4437	95	6	,	,	PUNCT
ejpam-4437	95	7	15	15	NUM
ejpam-4437	95	8	(	(	PUNCT
ejpam-4437	95	9	3	3	NUM
ejpam-4437	95	10	)	)	PUNCT
ejpam-4437	95	11	(	(	PUNCT
ejpam-4437	95	12	2022	2022	NUM
ejpam-4437	95	13	)	)	PUNCT
ejpam-4437	95	14	,	,	PUNCT
ejpam-4437	95	15	1254	1254	NUM
ejpam-4437	95	16	-	-	SYM
ejpam-4437	95	17	1264	1264	NUM
ejpam-4437	95	18	1258	1258	NUM
ejpam-4437	95	19	multiply	multiply	ADP
ejpam-4437	95	20	both	both	DET
ejpam-4437	95	21	sides	side	NOUN
ejpam-4437	95	22	of	of	ADP
ejpam-4437	95	23	the	the	DET
ejpam-4437	95	24	above	above	ADJ
ejpam-4437	95	25	equation	equation	NOUN
ejpam-4437	95	26	by	by	ADP
ejpam-4437	95	27	gtk	gtk	NOUN
ejpam-4437	95	28	gtk	gtk	NOUN
ejpam-4437	95	29	dk	dk	PROPN
ejpam-4437	95	30	≤	≤	PROPN
ejpam-4437	95	31	−||gk||2	−||gk||2	NOUN
ejpam-4437	96	1	+	+	CCONJ
ejpam-4437	96	2	gtk	gtk	NOUN
ejpam-4437	96	3	(	(	PUNCT
ejpam-4437	96	4	yk−1	yk−1	PROPN
ejpam-4437	96	5	+	+	CCONJ
ejpam-4437	96	6	φk−1	φk−1	PROPN
ejpam-4437	96	7	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	96	8	.sk−1	.sk−1	PUNCT
ejpam-4437	96	9	)	)	PUNCT
ejpam-4437	97	1	gtk−1	gtk−1	PROPN
ejpam-4437	97	2	(	(	PUNCT
ejpam-4437	97	3	gk	gk	PROPN
ejpam-4437	97	4	+	+	CCONJ
ejpam-4437	97	5	gk−1	gk−1	PROPN
ejpam-4437	97	6	)	)	PUNCT
ejpam-4437	97	7	gtk	gtk	NOUN
ejpam-4437	97	8	dk−1	dk−1	PROPN
ejpam-4437	97	9	−	−	NOUN
ejpam-4437	97	10	gtk	gtk	NOUN
ejpam-4437	97	11	dk−1	dk−1	PROPN
ejpam-4437	97	12	gtk−1	gtk−1	PROPN
ejpam-4437	97	13	(	(	PUNCT
ejpam-4437	97	14	gk	gk	PROPN
ejpam-4437	97	15	+	+	CCONJ
ejpam-4437	97	16	gk−1	gk−1	PROPN
ejpam-4437	97	17	)	)	PUNCT
ejpam-4437	97	18	gtk	gtk	NOUN
ejpam-4437	97	19	yk−1	yk−1	PROPN
ejpam-4437	97	20	≤	≤	PROPN
ejpam-4437	97	21	−||gk||2	−||gk||2	NOUN
ejpam-4437	98	1	+	+	CCONJ
ejpam-4437	98	2	(	(	PUNCT
ejpam-4437	98	3	ytk−1gk	ytk−1gk	PROPN
ejpam-4437	98	4	)	)	PUNCT
ejpam-4437	98	5	(	(	PUNCT
ejpam-4437	98	6	gtk	gtk	NOUN
ejpam-4437	98	7	dk−1	dk−1	PROPN
ejpam-4437	98	8	)	)	PUNCT
ejpam-4437	98	9	gtk−1	gtk−1	PROPN
ejpam-4437	98	10	(	(	PUNCT
ejpam-4437	98	11	gk	gk	PROPN
ejpam-4437	98	12	+	+	CCONJ
ejpam-4437	98	13	gk−1	gk−1	PROPN
ejpam-4437	98	14	)	)	PUNCT
ejpam-4437	99	1	+	+	CCONJ
ejpam-4437	99	2	φk−1	φk−1	PROPN
ejpam-4437	99	3	(	(	PUNCT
ejpam-4437	99	4	stk−1gk	stk−1gk	PROPN
ejpam-4437	99	5	)	)	PUNCT
ejpam-4437	99	6	(	(	PUNCT
ejpam-4437	99	7	gtk	gtk	NOUN
ejpam-4437	99	8	dk−1	dk−1	PROPN
ejpam-4437	99	9	)	)	PUNCT
ejpam-4437	99	10	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	99	11	[	[	PUNCT
ejpam-4437	99	12	gtk−1	gtk−1	PROPN
ejpam-4437	99	13	(	(	PUNCT
ejpam-4437	99	14	gk	gk	PROPN
ejpam-4437	99	15	+	+	CCONJ
ejpam-4437	99	16	gk−1	gk−1	PROPN
ejpam-4437	99	17	)	)	PUNCT
ejpam-4437	99	18	]	]	PUNCT
ejpam-4437	100	1	−	−	PROPN
ejpam-4437	100	2	(	(	PUNCT
ejpam-4437	100	3	ytk−1gk	ytk−1gk	PROPN
ejpam-4437	100	4	)	)	PUNCT
ejpam-4437	100	5	(	(	PUNCT
ejpam-4437	100	6	gtk	gtk	NOUN
ejpam-4437	100	7	dk−1	dk−1	PROPN
ejpam-4437	100	8	)	)	PUNCT
ejpam-4437	100	9	gtk−1	gtk−1	PROPN
ejpam-4437	100	10	(	(	PUNCT
ejpam-4437	100	11	gk	gk	PROPN
ejpam-4437	100	12	+	+	CCONJ
ejpam-4437	100	13	gk−1	gk−1	PROPN
ejpam-4437	100	14	)	)	PUNCT
ejpam-4437	100	15	≤	≤	NOUN
ejpam-4437	101	1	−||gk||2	−||gk||2	NOUN
ejpam-4437	102	1	+	+	CCONJ
ejpam-4437	102	2	(	(	PUNCT
ejpam-4437	102	3	stk−1gk	stk−1gk	PROPN
ejpam-4437	102	4	)	)	PUNCT
ejpam-4437	102	5	(	(	PUNCT
ejpam-4437	102	6	gtk	gtk	NOUN
ejpam-4437	102	7	dk−1	dk−1	PROPN
ejpam-4437	102	8	)	)	PUNCT
ejpam-4437	102	9	2	2	NUM
ejpam-4437	102	10	||sk−1||2	||sk−1||2	NOUN
ejpam-4437	102	11	(	(	PUNCT
ejpam-4437	102	12	gtk−1	gtk−1	PROPN
ejpam-4437	102	13	(	(	PUNCT
ejpam-4437	102	14	gk	gk	PROPN
ejpam-4437	102	15	+	+	CCONJ
ejpam-4437	102	16	gk−1	gk−1	PROPN
ejpam-4437	102	17	)	)	PUNCT
ejpam-4437	102	18	)	)	PUNCT
ejpam-4437	102	19	2	2	NUM
ejpam-4437	102	20	since	since	SCONJ
ejpam-4437	102	21	,	,	PUNCT
ejpam-4437	102	22	gtk	gtk	NOUN
ejpam-4437	102	23	dk−1	dk−1	PROPN
ejpam-4437	102	24	≤	≤	NUM
ejpam-4437	102	25	||gk||||dk−1||	||gk||||dk−1||	NOUN
ejpam-4437	102	26	,	,	PUNCT
ejpam-4437	102	27	we	we	PRON
ejpam-4437	102	28	have	have	VERB
ejpam-4437	102	29	sk−1	sk−1	PROPN
ejpam-4437	102	30	=	=	SYM
ejpam-4437	102	31	γk−1dk−1	γk−1dk−1	PROPN
ejpam-4437	102	32	,	,	PUNCT
ejpam-4437	102	33	and	and	CCONJ
ejpam-4437	102	34	they	they	PRON
ejpam-4437	102	35	proved	prove	VERB
ejpam-4437	102	36	in	in	ADP
ejpam-4437	102	37	[	[	X
ejpam-4437	102	38	13	13	NUM
ejpam-4437	102	39	]	]	PUNCT
ejpam-4437	102	40	that	that	SCONJ
ejpam-4437	102	41	:	:	PUNCT
ejpam-4437	102	42	0	0	NUM
ejpam-4437	102	43	≤	≤	NUM
ejpam-4437	102	44	βkmar	βkmar	VERB
ejpam-4437	102	45	k	k	PROPN
ejpam-4437	102	46	≤	≤	PROPN
ejpam-4437	102	47	||gk||2	||gk||2	PROPN
ejpam-4437	102	48	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	102	49	(	(	PUNCT
ejpam-4437	102	50	18	18	NUM
ejpam-4437	102	51	)	)	PUNCT
ejpam-4437	102	52	we	we	PRON
ejpam-4437	102	53	get	get	VERB
ejpam-4437	102	54	dtk	dtk	PROPN
ejpam-4437	102	55	gk	gk	PROPN
ejpam-4437	102	56	≤	≤	PROPN
ejpam-4437	102	57	−||gk||2	−||gk||2	NOUN
ejpam-4437	103	1	+	+	NUM
ejpam-4437	103	2	γk−1||gk||3.||dk−1||3	γk−1||gk||3.||dk−1||3	PROPN
ejpam-4437	103	3	γk−1	γk−1	PROPN
ejpam-4437	103	4	2||dk−1||2.||gk−1||4	2||dk−1||2.||gk−1||4	PROPN
ejpam-4437	103	5	dtk	dtk	PROPN
ejpam-4437	103	6	gk	gk	PROPN
ejpam-4437	103	7	≤	≤	PROPN
ejpam-4437	103	8	−	−	PROPN
ejpam-4437	104	1	[	[	PUNCT
ejpam-4437	104	2	1−	1−	NUM
ejpam-4437	104	3	||gk||.||dk−1||	||gk||.||dk−1||	PROPN
ejpam-4437	104	4	γk−1||gk−1||4	γk−1||gk−1||4	PROPN
ejpam-4437	104	5	]	]	PUNCT
ejpam-4437	104	6	||gk||	||gk||	NUM
ejpam-4437	104	7	,	,	PUNCT
ejpam-4437	104	8	dtk	dtk	PROPN
ejpam-4437	104	9	gk	gk	PROPN
ejpam-4437	104	10	≤	≤	PROPN
ejpam-4437	104	11	−τ.||gk||2	−τ.||gk||2	PROPN
ejpam-4437	104	12	where	where	SCONJ
ejpam-4437	104	13	τ	τ	X
ejpam-4437	104	14	=	=	PRON
ejpam-4437	105	1	[	[	PUNCT
ejpam-4437	105	2	1−	1−	NUM
ejpam-4437	105	3	δω	δω	NOUN
ejpam-4437	105	4	a.δ2	a.δ2	PROPN
ejpam-4437	105	5	]	]	PUNCT
ejpam-4437	106	1	the	the	DET
ejpam-4437	106	2	proof	proof	NOUN
ejpam-4437	106	3	has	have	AUX
ejpam-4437	106	4	been	be	AUX
ejpam-4437	106	5	completed	complete	VERB
ejpam-4437	106	6	.	.	PUNCT
ejpam-4437	107	1	the	the	DET
ejpam-4437	107	2	following	follow	VERB
ejpam-4437	107	3	assumptions	assumption	NOUN
ejpam-4437	107	4	are	be	AUX
ejpam-4437	107	5	always	always	ADV
ejpam-4437	107	6	useful	useful	ADJ
ejpam-4437	107	7	for	for	ADP
ejpam-4437	107	8	cg	cg	NOUN
ejpam-4437	107	9	approach	approach	NOUN
ejpam-4437	107	10	convergence	convergence	NOUN
ejpam-4437	107	11	analysis	analysis	NOUN
ejpam-4437	107	12	.	.	PUNCT
ejpam-4437	108	1	4	4	X
ejpam-4437	108	2	.	.	X
ejpam-4437	108	3	global	global	ADJ
ejpam-4437	108	4	convergence	convergence	NOUN
ejpam-4437	108	5	of	of	ADP
ejpam-4437	108	6	ttkmar	ttkmar	PROPN
ejpam-4437	108	7	assumption	assumption	NOUN
ejpam-4437	108	8	(	(	PUNCT
ejpam-4437	108	9	1	1	NUM
ejpam-4437	108	10	)	)	PUNCT
ejpam-4437	108	11	1	1	NUM
ejpam-4437	108	12	.	.	X
ejpam-4437	109	1	u	u	NOUN
ejpam-4437	109	2	(	(	PUNCT
ejpam-4437	109	3	x	x	X
ejpam-4437	109	4	)	)	PUNCT
ejpam-4437	109	5	is	be	AUX
ejpam-4437	109	6	restricted	restrict	VERB
ejpam-4437	109	7	from	from	ADP
ejpam-4437	109	8	below	below	ADP
ejpam-4437	109	9	to	to	ADP
ejpam-4437	109	10	the	the	DET
ejpam-4437	109	11	level	level	NOUN
ejpam-4437	109	12	set	set	VERB
ejpam-4437	109	13	λ	λ	NOUN
ejpam-4437	109	14	=	=	SYM
ejpam-4437	109	15	{	{	PUNCT
ejpam-4437	109	16	x	x	PROPN
ejpam-4437	109	17	∈	∈	PROPN
ejpam-4437	109	18	rn	rn	PROPN
ejpam-4437	109	19	,	,	PUNCT
ejpam-4437	109	20	u	u	NOUN
ejpam-4437	109	21	(	(	PUNCT
ejpam-4437	109	22	x	x	NOUN
ejpam-4437	109	23	)	)	PUNCT
ejpam-4437	109	24	≤	≤	NOUN
ejpam-4437	109	25	u	u	NOUN
ejpam-4437	109	26	(	(	PUNCT
ejpam-4437	109	27	x0	x0	PROPN
ejpam-4437	109	28	)	)	PUNCT
ejpam-4437	109	29	,	,	PUNCT
ejpam-4437	109	30	x0	x0	PROPN
ejpam-4437	109	31	is	be	AUX
ejpam-4437	109	32	the	the	DET
ejpam-4437	109	33	starting	starting	NOUN
ejpam-4437	109	34	point	point	NOUN
ejpam-4437	109	35	.	.	PUNCT
ejpam-4437	110	1	i.e.	i.e.	X
ejpam-4437	110	2	,	,	PUNCT
ejpam-4437	110	3	there	there	PRON
ejpam-4437	110	4	is	be	VERB
ejpam-4437	110	5	a	a	DET
ejpam-4437	110	6	constant	constant	ADJ
ejpam-4437	110	7	ω	ω	NOUN
ejpam-4437	110	8	>	>	X
ejpam-4437	110	9	0	0	PROPN
ejpam-4437	110	10	,	,	PUNCT
ejpam-4437	110	11	which	which	PRON
ejpam-4437	110	12	means	mean	VERB
ejpam-4437	110	13	||xk||	||xk||	ADJ
ejpam-4437	110	14	≤	≤	PROPN
ejpam-4437	110	15	ω	ω	PROPN
ejpam-4437	110	16	∀x	∀x	X
ejpam-4437	110	17	∈	∈	PROPN
ejpam-4437	110	18	λ	λ	NOUN
ejpam-4437	110	19	.	.	PROPN
ejpam-4437	110	20	2	2	NUM
ejpam-4437	110	21	.	.	X
ejpam-4437	110	22	u	u	NOUN
ejpam-4437	110	23	(	(	PUNCT
ejpam-4437	110	24	x	x	X
ejpam-4437	110	25	)	)	PUNCT
ejpam-4437	110	26	is	be	AUX
ejpam-4437	110	27	continuously	continuously	ADV
ejpam-4437	110	28	differentiable	differentiable	ADJ
ejpam-4437	110	29	in	in	ADP
ejpam-4437	110	30	a	a	DET
ejpam-4437	110	31	specific	specific	ADJ
ejpam-4437	110	32	neighborhood	neighborhood	NOUN
ejpam-4437	110	33	n	n	NOUN
ejpam-4437	110	34	of	of	ADP
ejpam-4437	110	35	λ	λ	PROPN
ejpam-4437	110	36	,	,	PUNCT
ejpam-4437	110	37	and	and	CCONJ
ejpam-4437	110	38	its	its	PRON
ejpam-4437	110	39	gradient	gradient	NOUN
ejpam-4437	110	40	is	be	AUX
ejpam-4437	110	41	lipschitz	lipschitz	NOUN
ejpam-4437	110	42	continuous	continuous	ADJ
ejpam-4437	110	43	,	,	PUNCT
ejpam-4437	110	44	which	which	PRON
ejpam-4437	110	45	means	mean	VERB
ejpam-4437	110	46	that	that	SCONJ
ejpam-4437	110	47	there	there	PRON
ejpam-4437	110	48	is	be	VERB
ejpam-4437	110	49	a	a	DET
ejpam-4437	110	50	constant	constant	ADJ
ejpam-4437	110	51	m	m	NOUN
ejpam-4437	110	52	>	>	X
ejpam-4437	110	53	0	0	PROPN
ejpam-4437	110	54	,	,	PUNCT
ejpam-4437	110	55	s.t	s.t	PROPN
ejpam-4437	110	56	.	.	PROPN
ejpam-4437	110	57	||g	||g	PROPN
ejpam-4437	110	58	(	(	PUNCT
ejpam-4437	110	59	x)−	x)−	PROPN
ejpam-4437	110	60	g	g	PROPN
ejpam-4437	110	61	(	(	PUNCT
ejpam-4437	110	62	y	y	PROPN
ejpam-4437	110	63	)	)	PUNCT
ejpam-4437	110	64	||	||	NOUN
ejpam-4437	111	1	≤	≤	NUM
ejpam-4437	111	2	m||x−	m||x−	PROPN
ejpam-4437	111	3	y||	y||	NOUN
ejpam-4437	111	4	,	,	PUNCT
ejpam-4437	111	5	∀x	∀x	X
ejpam-4437	111	6	,	,	PUNCT
ejpam-4437	111	7	y	y	PROPN
ejpam-4437	111	8	∈	∈	PROPN
ejpam-4437	111	9	n	n	CCONJ
ejpam-4437	111	10	(	(	PUNCT
ejpam-4437	111	11	19	19	NUM
ejpam-4437	111	12	)	)	PUNCT
ejpam-4437	111	13	it	it	PRON
ejpam-4437	111	14	is	be	AUX
ejpam-4437	111	15	worth	worth	ADJ
ejpam-4437	111	16	noting	note	VERB
ejpam-4437	111	17	that	that	SCONJ
ejpam-4437	111	18	assumption	assumption	NOUN
ejpam-4437	111	19	(	(	PUNCT
ejpam-4437	111	20	1	1	X
ejpam-4437	111	21	)	)	PUNCT
ejpam-4437	111	22	implies	imply	VERB
ejpam-4437	111	23	existence	existence	NOUN
ejpam-4437	111	24	of	of	ADP
ejpam-4437	111	25	a	a	DET
ejpam-4437	111	26	positive	positive	ADJ
ejpam-4437	111	27	constant	constant	ADJ
ejpam-4437	111	28	δ	δ	PROPN
ejpam-4437	111	29	,	,	PUNCT
ejpam-4437	111	30	such	such	ADJ
ejpam-4437	111	31	that	that	SCONJ
ejpam-4437	111	32	[	[	X
ejpam-4437	111	33	2	2	NUM
ejpam-4437	111	34	]	]	PUNCT
ejpam-4437	111	35	:	:	PUNCT
ejpam-4437	111	36	||gk||	||gk||	X
ejpam-4437	111	37	≤	≤	NUM
ejpam-4437	111	38	δ	δ	PROPN
ejpam-4437	111	39	,	,	PUNCT
ejpam-4437	111	40	∀k	∀k	NOUN
ejpam-4437	111	41	(	(	PUNCT
ejpam-4437	111	42	20	20	NUM
ejpam-4437	111	43	)	)	PUNCT
ejpam-4437	111	44	theorem	theorem	NOUN
ejpam-4437	111	45	2	2	NUM
ejpam-4437	111	46	.	.	X
ejpam-4437	111	47	assume	assume	VERB
ejpam-4437	111	48	assumption	assumption	NOUN
ejpam-4437	111	49	(	(	PUNCT
ejpam-4437	111	50	1	1	X
ejpam-4437	111	51	)	)	PUNCT
ejpam-4437	111	52	is	be	AUX
ejpam-4437	111	53	true	true	ADJ
ejpam-4437	111	54	.	.	PUNCT
ejpam-4437	112	1	consider	consider	VERB
ejpam-4437	112	2	methods	method	NOUN
ejpam-4437	112	3	(	(	PUNCT
ejpam-4437	112	4	2	2	NUM
ejpam-4437	112	5	)	)	PUNCT
ejpam-4437	112	6	and	and	CCONJ
ejpam-4437	112	7	(	(	PUNCT
ejpam-4437	112	8	16	16	NUM
ejpam-4437	112	9	)	)	PUNCT
ejpam-4437	112	10	,	,	PUNCT
ejpam-4437	112	11	where	where	SCONJ
ejpam-4437	112	12	dk	dk	PROPN
ejpam-4437	112	13	is	be	AUX
ejpam-4437	112	14	a	a	DET
ejpam-4437	112	15	descent	descent	NOUN
ejpam-4437	112	16	direction	direction	NOUN
ejpam-4437	112	17	and	and	CCONJ
ejpam-4437	112	18	γk	γk	PROPN
ejpam-4437	112	19	is	be	AUX
ejpam-4437	112	20	provided	provide	VERB
ejpam-4437	112	21	by	by	ADP
ejpam-4437	112	22	swpl	swpl	NOUN
ejpam-4437	112	23	.	.	PUNCT
ejpam-4437	113	1	if	if	SCONJ
ejpam-4437	113	2	gh	gh	PROPN
ejpam-4437	113	3	.	.	PROPN
ejpam-4437	113	4	m.	m.	PROPN
ejpam-4437	113	5	al	al	PROPN
ejpam-4437	113	6	-	-	PUNCT
ejpam-4437	113	7	naemi	naemi	PROPN
ejpam-4437	113	8	,	,	PUNCT
ejpam-4437	113	9	f.	f.	PROPN
ejpam-4437	113	10	m.	m.	PROPN
ejpam-4437	113	11	saeed	saeed	PROPN
ejpam-4437	113	12	/	/	SYM
ejpam-4437	113	13	eur	eur	PROPN
ejpam-4437	113	14	.	.	PUNCT
ejpam-4437	114	1	j.	j.	PROPN
ejpam-4437	114	2	pure	pure	PROPN
ejpam-4437	114	3	appl	appl	PROPN
ejpam-4437	114	4	.	.	PROPN
ejpam-4437	114	5	math	math	PROPN
ejpam-4437	114	6	,	,	PUNCT
ejpam-4437	114	7	15	15	NUM
ejpam-4437	114	8	(	(	PUNCT
ejpam-4437	114	9	3	3	NUM
ejpam-4437	114	10	)	)	PUNCT
ejpam-4437	114	11	(	(	PUNCT
ejpam-4437	114	12	2022	2022	NUM
ejpam-4437	114	13	)	)	PUNCT
ejpam-4437	114	14	,	,	PUNCT
ejpam-4437	114	15	1254	1254	NUM
ejpam-4437	114	16	-	-	SYM
ejpam-4437	114	17	1264	1264	NUM
ejpam-4437	114	18	1259	1259	NUM
ejpam-4437	114	19	∑	∑	ADP
ejpam-4437	114	20	k≥1	k≥1	PROPN
ejpam-4437	114	21	1	1	NUM
ejpam-4437	114	22	||dk||2	||dk||2	NOUN
ejpam-4437	114	23	=	=	SYM
ejpam-4437	114	24	∞	∞	PROPN
ejpam-4437	114	25	(	(	PUNCT
ejpam-4437	114	26	21	21	NUM
ejpam-4437	114	27	)	)	PUNCT
ejpam-4437	114	28	then	then	ADV
ejpam-4437	114	29	lim	lim	PROPN
ejpam-4437	114	30	inf	inf	PROPN
ejpam-4437	114	31	k→∞	k→∞	NOUN
ejpam-4437	114	32	||gk||	||gk||	X
ejpam-4437	114	33	=	=	SYM
ejpam-4437	114	34	0	0	NUM
ejpam-4437	114	35	(	(	PUNCT
ejpam-4437	114	36	22	22	NUM
ejpam-4437	114	37	)	)	PUNCT
ejpam-4437	114	38	theorem	theorem	NOUN
ejpam-4437	114	39	3	3	NUM
ejpam-4437	114	40	.	.	PUNCT
ejpam-4437	114	41	assuming	assume	VERB
ejpam-4437	114	42	assumption	assumption	NOUN
ejpam-4437	114	43	(	(	PUNCT
ejpam-4437	114	44	1	1	X
ejpam-4437	114	45	)	)	PUNCT
ejpam-4437	114	46	is	be	AUX
ejpam-4437	114	47	correct	correct	ADJ
ejpam-4437	114	48	,	,	PUNCT
ejpam-4437	114	49	consider	consider	VERB
ejpam-4437	114	50	algorithm	algorithm	NOUN
ejpam-4437	114	51	(	(	PUNCT
ejpam-4437	114	52	ttkmar	ttkmar	NOUN
ejpam-4437	114	53	)	)	PUNCT
ejpam-4437	114	54	,	,	PUNCT
ejpam-4437	114	55	where	where	SCONJ
ejpam-4437	114	56	dk	dk	PROPN
ejpam-4437	114	57	and	and	CCONJ
ejpam-4437	114	58	γk	γk	PROPN
ejpam-4437	114	59	satisfy	satisfy	VERB
ejpam-4437	114	60	the	the	DET
ejpam-4437	114	61	sufficient	sufficient	ADJ
ejpam-4437	114	62	descent	descent	NOUN
ejpam-4437	114	63	condition	condition	NOUN
ejpam-4437	114	64	(	(	PUNCT
ejpam-4437	114	65	17	17	NUM
ejpam-4437	114	66	)	)	PUNCT
ejpam-4437	114	67	as	as	ADV
ejpam-4437	114	68	well	well	ADV
ejpam-4437	114	69	as	as	ADP
ejpam-4437	114	70	(	(	PUNCT
ejpam-4437	114	71	4	4	NUM
ejpam-4437	114	72	)	)	PUNCT
ejpam-4437	114	73	and	and	CCONJ
ejpam-4437	114	74	(	(	PUNCT
ejpam-4437	114	75	5	5	NUM
ejpam-4437	114	76	)	)	PUNCT
ejpam-4437	114	77	,	,	PUNCT
ejpam-4437	114	78	respectively	respectively	ADV
ejpam-4437	114	79	.	.	PUNCT
ejpam-4437	115	1	then	then	ADV
ejpam-4437	115	2	lim	lim	PROPN
ejpam-4437	115	3	infk→∞	infk→∞	VERB
ejpam-4437	115	4	||gk||	||gk||	X
ejpam-4437	115	5	=	=	SYM
ejpam-4437	115	6	0	0	NUM
ejpam-4437	115	7	proof	proof	NOUN
ejpam-4437	115	8	.	.	PUNCT
ejpam-4437	116	1	because	because	SCONJ
ejpam-4437	116	2	the	the	DET
ejpam-4437	116	3	descending	descend	VERB
ejpam-4437	116	4	property	property	NOUN
ejpam-4437	116	5	holds	hold	NOUN
ejpam-4437	116	6	,	,	PUNCT
ejpam-4437	116	7	we	we	PRON
ejpam-4437	116	8	have	have	VERB
ejpam-4437	116	9	dk	dk	PRON
ejpam-4437	116	10	̸=	̸=	PROPN
ejpam-4437	116	11	0	0	NUM
ejpam-4437	116	12	.	.	PUNCT
ejpam-4437	117	1	as	as	ADP
ejpam-4437	117	2	a	a	DET
ejpam-4437	117	3	result	result	NOUN
ejpam-4437	117	4	,	,	PUNCT
ejpam-4437	117	5	lemma	lemma	PROPN
ejpam-4437	117	6	(	(	PUNCT
ejpam-4437	117	7	2	2	X
ejpam-4437	117	8	)	)	PUNCT
ejpam-4437	117	9	suffices	suffice	VERB
ejpam-4437	117	10	to	to	PART
ejpam-4437	117	11	demonstrate	demonstrate	VERB
ejpam-4437	117	12	that	that	SCONJ
ejpam-4437	117	13	||dk||	||dk||	PROPN
ejpam-4437	117	14	is	be	AUX
ejpam-4437	117	15	bounded	bound	VERB
ejpam-4437	117	16	above	above	ADV
ejpam-4437	117	17	.	.	PUNCT
ejpam-4437	118	1	derived	derive	VERB
ejpam-4437	118	2	from	from	ADP
ejpam-4437	118	3	(	(	PUNCT
ejpam-4437	118	4	15	15	NUM
ejpam-4437	118	5	)	)	PUNCT
ejpam-4437	118	6	,	,	PUNCT
ejpam-4437	118	7	and	and	CCONJ
ejpam-4437	118	8	(	(	PUNCT
ejpam-4437	118	9	16	16	X
ejpam-4437	118	10	)	)	PUNCT
ejpam-4437	118	11	||dk||	||dk||	NOUN
ejpam-4437	118	12	=	=	SYM
ejpam-4437	118	13	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-4437	118	14	∣∣∣∣∣−gk	∣∣∣∣∣−gk	X
ejpam-4437	118	15	+	+	CCONJ
ejpam-4437	118	16	gtk	gtk	NOUN
ejpam-4437	118	17	µk−1∣∣gtk−1gk	µk−1∣∣gtk−1gk	VERB
ejpam-4437	118	18	∣∣+	∣∣+	NOUN
ejpam-4437	118	19	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	118	20	dk−1	dk−1	PROPN
ejpam-4437	118	21	−	−	NOUN
ejpam-4437	118	22	gtk	gtk	NOUN
ejpam-4437	118	23	dk−1∣∣gtk−1gk	dk−1∣∣gtk−1gk	PROPN
ejpam-4437	118	24	∣∣+	∣∣+	NOUN
ejpam-4437	118	25	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	118	26	yk−1	yk−1	PROPN
ejpam-4437	118	27	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-4437	118	28	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4437	118	29	=	=	SYM
ejpam-4437	118	30	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-4437	118	31	∣∣∣∣∣∣−gk	∣∣∣∣∣∣−gk	NOUN
ejpam-4437	118	32	+	+	CCONJ
ejpam-4437	118	33	gtk	gtk	NOUN
ejpam-4437	118	34	(	(	PUNCT
ejpam-4437	118	35	yk−1	yk−1	PROPN
ejpam-4437	118	36	+	+	CCONJ
ejpam-4437	118	37	φk−1	φk−1	PROPN
ejpam-4437	118	38	||sk−1||2	||sk−1||2	PROPN
ejpam-4437	118	39	.sk−1	.sk−1	PUNCT
ejpam-4437	118	40	)	)	PUNCT
ejpam-4437	119	1	∣∣gtk−1gk	∣∣gtk−1gk	CCONJ
ejpam-4437	119	2	∣∣+	∣∣+	PROPN
ejpam-4437	119	3	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	119	4	dk−1	dk−1	PROPN
ejpam-4437	119	5	−	−	NOUN
ejpam-4437	119	6	gtk	gtk	NOUN
ejpam-4437	119	7	dk−1∣∣gtk−1gk	dk−1∣∣gtk−1gk	PROPN
ejpam-4437	119	8	∣∣+	∣∣+	NOUN
ejpam-4437	119	9	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	119	10	yk−1	yk−1	PROPN
ejpam-4437	119	11	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-4437	120	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-4437	120	2	as	as	ADP
ejpam-4437	120	3	a	a	DET
ejpam-4437	120	4	result	result	NOUN
ejpam-4437	120	5	of	of	ADP
ejpam-4437	120	6	0	0	NUM
ejpam-4437	120	7	≤	≤	NUM
ejpam-4437	120	8	βkmar	βkmar	VERB
ejpam-4437	120	9	k	k	PROPN
ejpam-4437	120	10	≤	≤	PROPN
ejpam-4437	120	11	||gk||2	||gk||2	PROPN
ejpam-4437	120	12	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	120	13	,	,	PUNCT
ejpam-4437	120	14	sk−1	sk−1	PROPN
ejpam-4437	120	15	=	=	SYM
ejpam-4437	120	16	γk−1dk−1	γk−1dk−1	PROPN
ejpam-4437	120	17	,	,	PUNCT
ejpam-4437	120	18	(	(	PUNCT
ejpam-4437	120	19	17	17	NUM
ejpam-4437	120	20	)	)	PUNCT
ejpam-4437	120	21	,	,	PUNCT
ejpam-4437	120	22	and	and	CCONJ
ejpam-4437	120	23	(	(	PUNCT
ejpam-4437	120	24	19	19	NUM
ejpam-4437	120	25	)	)	PUNCT
ejpam-4437	120	26	we	we	PRON
ejpam-4437	120	27	obtain	obtain	VERB
ejpam-4437	120	28	||dk||	||dk||	NOUN
ejpam-4437	120	29	≤	≤	PROPN
ejpam-4437	120	30	||gk||+	||gk||+	PROPN
ejpam-4437	120	31	||gk||2	||gk||2	PROPN
ejpam-4437	120	32	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	120	33	||dk−1||+	||dk−1||+	NOUN
ejpam-4437	120	34	γk−1||gk||2.||dk−1||2	γk−1||gk||2.||dk−1||2	PROPN
ejpam-4437	120	35	γk−1	γk−1	PROPN
ejpam-4437	120	36	2||dk−1||2||gk−1||2	2||dk−1||2||gk−1||2	PROPN
ejpam-4437	120	37	||dk−1||+	||dk−1||+	NOUN
ejpam-4437	120	38	||gk||||dk−1||	||gk||||dk−1||	PROPN
ejpam-4437	120	39	||gk−1||2	||gk−1||2	PROPN
ejpam-4437	120	40	mγk−1||dk−1||	mγk−1||dk−1||	NOUN
ejpam-4437	120	41	=	=	PUNCT
ejpam-4437	120	42	[	[	PUNCT
ejpam-4437	120	43	1	1	NUM
ejpam-4437	120	44	+	+	CCONJ
ejpam-4437	120	45	γk−1||gk||+	γk−1||gk||+	PROPN
ejpam-4437	120	46	||gk||||dk−1||+mγk−1	||gk||||dk−1||+mγk−1	PROPN
ejpam-4437	120	47	2||dk−1||2	2||dk−1||2	PROPN
ejpam-4437	120	48	γk−1||gk−1||2	γk−1||gk−1||2	PROPN
ejpam-4437	120	49	]	]	PUNCT
ejpam-4437	120	50	||gk||	||gk||	X
ejpam-4437	120	51	≤	≤	NOUN
ejpam-4437	120	52	[	[	PUNCT
ejpam-4437	120	53	1	1	NUM
ejpam-4437	120	54	+	+	CCONJ
ejpam-4437	120	55	aδ	aδ	PROPN
ejpam-4437	120	56	+	+	CCONJ
ejpam-4437	120	57	δω	δω	VERB
ejpam-4437	120	58	+	+	NOUN
ejpam-4437	120	59	ma2ω2	ma2ω2	PROPN
ejpam-4437	120	60	a.δ̄2	a.δ̄2	X
ejpam-4437	120	61	]	]	PUNCT
ejpam-4437	120	62	||gk||	||gk||	NUM
ejpam-4437	120	63	≤	≤	NUM
ejpam-4437	120	64	a.δ	a.δ	PROPN
ejpam-4437	120	65	||dk||	||dk||	PROPN
ejpam-4437	120	66	≤	≤	NUM
ejpam-4437	120	67	v	v	ADP
ejpam-4437	120	68	⇒	⇒	NOUN
ejpam-4437	120	69	||dk||2	||dk||2	NOUN
ejpam-4437	120	70	≤	≤	NUM
ejpam-4437	120	71	v	v	ADP
ejpam-4437	120	72	2	2	NUM
ejpam-4437	120	73	(	(	PUNCT
ejpam-4437	120	74	23	23	NUM
ejpam-4437	120	75	)	)	PUNCT
ejpam-4437	120	76	by	by	ADP
ejpam-4437	120	77	taking	take	VERB
ejpam-4437	120	78	the	the	DET
ejpam-4437	120	79	summation	summation	NOUN
ejpam-4437	120	80	on	on	ADP
ejpam-4437	120	81	both	both	DET
ejpam-4437	120	82	sides	side	NOUN
ejpam-4437	120	83	of	of	ADP
ejpam-4437	120	84	(	(	PUNCT
ejpam-4437	120	85	23	23	NUM
ejpam-4437	120	86	)	)	PUNCT
ejpam-4437	120	87	,	,	PUNCT
ejpam-4437	120	88	we	we	PRON
ejpam-4437	120	89	get	get	VERB
ejpam-4437	120	90	⇒	⇒	NOUN
ejpam-4437	120	91	∑	∑	PUNCT
ejpam-4437	120	92	k≥1	k≥1	PROPN
ejpam-4437	120	93	1	1	NUM
ejpam-4437	120	94	||dk||2	||dk||2	NOUN
ejpam-4437	120	95	≥	≥	NOUN
ejpam-4437	120	96	1	1	NUM
ejpam-4437	120	97	v	v	ADP
ejpam-4437	120	98	2	2	NUM
ejpam-4437	120	99	∑	∑	NOUN
ejpam-4437	120	100	k≥1	k≥1	NOUN
ejpam-4437	120	101	1	1	NUM
ejpam-4437	120	102	=	=	SYM
ejpam-4437	120	103	+	+	NUM
ejpam-4437	120	104	∞	∞	PROPN
ejpam-4437	120	105	inconsistency	inconsistency	NOUN
ejpam-4437	120	106	with	with	ADP
ejpam-4437	120	107	the	the	DET
ejpam-4437	120	108	zountendijk	zountendijk	NOUN
ejpam-4437	120	109	theorem	theorem	NOUN
ejpam-4437	120	110	[	[	X
ejpam-4437	120	111	24	24	NUM
ejpam-4437	120	112	]	]	PUNCT
ejpam-4437	120	113	,	,	PUNCT
ejpam-4437	120	114	so	so	ADV
ejpam-4437	120	115	lim	lim	PROPN
ejpam-4437	120	116	inf	inf	PROPN
ejpam-4437	121	1	k→∞	k→∞	NOUN
ejpam-4437	121	2	||gk||	||gk||	X
ejpam-4437	121	3	=	=	SYM
ejpam-4437	121	4	0	0	NUM
ejpam-4437	122	1	cgp	cgp	NOUN
ejpam-4437	122	2	has	have	AUX
ejpam-4437	122	3	been	be	AUX
ejpam-4437	122	4	achieved	achieve	VERB
ejpam-4437	122	5	by	by	ADP
ejpam-4437	122	6	the	the	DET
ejpam-4437	122	7	new	new	ADJ
ejpam-4437	122	8	proposed	propose	VERB
ejpam-4437	122	9	algorithm	algorithm	NOUN
ejpam-4437	122	10	.	.	PUNCT
ejpam-4437	123	1	gh	gh	PROPN
ejpam-4437	123	2	.	.	PROPN
ejpam-4437	123	3	m.	m.	PROPN
ejpam-4437	123	4	al	al	PROPN
ejpam-4437	123	5	-	-	PUNCT
ejpam-4437	123	6	naemi	naemi	PROPN
ejpam-4437	123	7	,	,	PUNCT
ejpam-4437	123	8	f.	f.	PROPN
ejpam-4437	123	9	m.	m.	PROPN
ejpam-4437	123	10	saeed	saeed	PROPN
ejpam-4437	123	11	/	/	SYM
ejpam-4437	123	12	eur	eur	PROPN
ejpam-4437	123	13	.	.	PUNCT
ejpam-4437	124	1	j.	j.	PROPN
ejpam-4437	124	2	pure	pure	PROPN
ejpam-4437	124	3	appl	appl	PROPN
ejpam-4437	124	4	.	.	PROPN
ejpam-4437	124	5	math	math	PROPN
ejpam-4437	124	6	,	,	PUNCT
ejpam-4437	124	7	15	15	NUM
ejpam-4437	124	8	(	(	PUNCT
ejpam-4437	124	9	3	3	NUM
ejpam-4437	124	10	)	)	PUNCT
ejpam-4437	124	11	(	(	PUNCT
ejpam-4437	124	12	2022	2022	NUM
ejpam-4437	124	13	)	)	PUNCT
ejpam-4437	124	14	,	,	PUNCT
ejpam-4437	124	15	1254	1254	NUM
ejpam-4437	124	16	-	-	SYM
ejpam-4437	124	17	1264	1264	NUM
ejpam-4437	124	18	1260	1260	NUM
ejpam-4437	124	19	5	5	NUM
ejpam-4437	124	20	.	.	PUNCT
ejpam-4437	124	21	mathematical	mathematical	ADJ
ejpam-4437	124	22	experiments	experiment	NOUN
ejpam-4437	124	23	in	in	ADP
ejpam-4437	124	24	this	this	DET
ejpam-4437	124	25	part	part	NOUN
ejpam-4437	124	26	,	,	PUNCT
ejpam-4437	124	27	we	we	PRON
ejpam-4437	124	28	chose	choose	VERB
ejpam-4437	124	29	some	some	PRON
ejpam-4437	124	30	of	of	ADP
ejpam-4437	124	31	the	the	DET
ejpam-4437	124	32	test	test	NOUN
ejpam-4437	124	33	functions	function	NOUN
ejpam-4437	124	34	from	from	ADP
ejpam-4437	124	35	cute	cute	ADJ
ejpam-4437	124	36	[	[	X
ejpam-4437	124	37	4	4	NUM
ejpam-4437	124	38	]	]	PUNCT
ejpam-4437	124	39	library	library	NOUN
ejpam-4437	124	40	,	,	PUNCT
ejpam-4437	124	41	which	which	PRON
ejpam-4437	124	42	,	,	PUNCT
ejpam-4437	124	43	as	as	ADV
ejpam-4437	124	44	well	well	ADV
ejpam-4437	124	45	as	as	ADP
ejpam-4437	124	46	andrei	andrei	NOUN
ejpam-4437	124	47	[	[	X
ejpam-4437	124	48	3	3	NUM
ejpam-4437	124	49	]	]	PUNCT
ejpam-4437	124	50	,	,	PUNCT
ejpam-4437	124	51	bongartz	bongartz	NOUN
ejpam-4437	124	52	[	[	X
ejpam-4437	124	53	7	7	NUM
ejpam-4437	124	54	]	]	PUNCT
ejpam-4437	124	55	,	,	PUNCT
ejpam-4437	124	56	and	and	CCONJ
ejpam-4437	124	57	others	other	NOUN
ejpam-4437	124	58	have	have	AUX
ejpam-4437	124	59	solved	solve	VERB
ejpam-4437	124	60	large	large	ADJ
ejpam-4437	124	61	-	-	PUNCT
ejpam-4437	124	62	scale	scale	NOUN
ejpam-4437	124	63	optimization	optimization	NOUN
ejpam-4437	124	64	problems	problem	NOUN
ejpam-4437	124	65	.	.	PUNCT
ejpam-4437	125	1	all	all	DET
ejpam-4437	125	2	codes	code	NOUN
ejpam-4437	125	3	are	be	AUX
ejpam-4437	125	4	written	write	VERB
ejpam-4437	125	5	in	in	ADP
ejpam-4437	125	6	fortran	fortran	NOUN
ejpam-4437	125	7	with	with	ADP
ejpam-4437	125	8	double	double	ADJ
ejpam-4437	125	9	precision	precision	NOUN
ejpam-4437	125	10	,	,	PUNCT
ejpam-4437	125	11	and	and	CCONJ
ejpam-4437	125	12	compiled	compiled	ADJ
ejpam-4437	125	13	visual	visual	ADJ
ejpam-4437	125	14	f90	f90	NOUN
ejpam-4437	125	15	(	(	PUNCT
ejpam-4437	125	16	using	use	VERB
ejpam-4437	125	17	the	the	DET
ejpam-4437	125	18	default	default	NOUN
ejpam-4437	125	19	compiler	compiler	NOUN
ejpam-4437	125	20	settings	setting	NOUN
ejpam-4437	125	21	)	)	PUNCT
ejpam-4437	125	22	.	.	PUNCT
ejpam-4437	126	1	to	to	PART
ejpam-4437	126	2	compute	compute	VERB
ejpam-4437	126	3	the	the	DET
ejpam-4437	126	4	value	value	NOUN
ejpam-4437	126	5	of	of	ADP
ejpam-4437	126	6	γk	γk	NOUN
ejpam-4437	126	7	,	,	PUNCT
ejpam-4437	126	8	the	the	DET
ejpam-4437	126	9	cubic	cubic	ADJ
ejpam-4437	126	10	fitting	fitting	ADJ
ejpam-4437	126	11	procedure	procedure	NOUN
ejpam-4437	126	12	is	be	AUX
ejpam-4437	126	13	always	always	ADV
ejpam-4437	126	14	used	use	VERB
ejpam-4437	126	15	.	.	PUNCT
ejpam-4437	127	1	we	we	PRON
ejpam-4437	127	2	chose	choose	VERB
ejpam-4437	127	3	twenty	twenty	NUM
ejpam-4437	127	4	-	-	PUNCT
ejpam-4437	127	5	four	four	NUM
ejpam-4437	127	6	extended	extended	ADJ
ejpam-4437	127	7	or	or	CCONJ
ejpam-4437	127	8	generalized	generalize	VERB
ejpam-4437	127	9	large	large	ADJ
ejpam-4437	127	10	-	-	PUNCT
ejpam-4437	127	11	scale	scale	NOUN
ejpam-4437	127	12	unconstrained	unconstrained	ADJ
ejpam-4437	127	13	optimization	optimization	NOUN
ejpam-4437	127	14	problems	problem	NOUN
ejpam-4437	127	15	in	in	ADP
ejpam-4437	127	16	an	an	DET
ejpam-4437	127	17	extended	extended	ADJ
ejpam-4437	127	18	or	or	CCONJ
ejpam-4437	127	19	generalized	generalized	ADJ
ejpam-4437	127	20	form	form	NOUN
ejpam-4437	127	21	.	.	PUNCT
ejpam-4437	128	1	every	every	DET
ejpam-4437	128	2	problem	problem	NOUN
ejpam-4437	128	3	was	be	AUX
ejpam-4437	128	4	tested	test	VERB
ejpam-4437	128	5	three	three	NUM
ejpam-4437	128	6	times	time	NOUN
ejpam-4437	128	7	for	for	ADP
ejpam-4437	128	8	a	a	DET
ejpam-4437	128	9	progressively	progressively	ADV
ejpam-4437	128	10	increasing	increase	VERB
ejpam-4437	128	11	number	number	NOUN
ejpam-4437	128	12	of	of	ADP
ejpam-4437	128	13	dimensions	dimension	NOUN
ejpam-4437	128	14	:	:	PUNCT
ejpam-4437	128	15	n	n	PROPN
ejpam-4437	128	16	=	=	SYM
ejpam-4437	128	17	1000	1000	NUM
ejpam-4437	128	18	,	,	PUNCT
ejpam-4437	128	19	10000	10000	NUM
ejpam-4437	128	20	,	,	PUNCT
ejpam-4437	128	21	and	and	CCONJ
ejpam-4437	128	22	100000	100000	NUM
ejpam-4437	128	23	,	,	PUNCT
ejpam-4437	128	24	respectively	respectively	ADV
ejpam-4437	128	25	,	,	PUNCT
ejpam-4437	128	26	and	and	CCONJ
ejpam-4437	128	27	all	all	DET
ejpam-4437	128	28	algorithms	algorithm	NOUN
ejpam-4437	128	29	implemented	implement	VERB
ejpam-4437	128	30	under	under	ADP
ejpam-4437	128	31	the	the	DET
ejpam-4437	128	32	swpl	swpl	NOUN
ejpam-4437	128	33	(	(	PUNCT
ejpam-4437	128	34	4	4	NUM
ejpam-4437	128	35	)	)	PUNCT
ejpam-4437	128	36	and	and	CCONJ
ejpam-4437	128	37	(	(	PUNCT
ejpam-4437	128	38	5	5	X
ejpam-4437	128	39	)	)	PUNCT
ejpam-4437	128	40	conditions	condition	NOUN
ejpam-4437	128	41	with	with	ADP
ejpam-4437	128	42	ρ	ρ	PROPN
ejpam-4437	128	43	=	=	NOUN
ejpam-4437	128	44	0.01	0.01	NUM
ejpam-4437	128	45	and	and	CCONJ
ejpam-4437	128	46	σ	σ	NUM
ejpam-4437	128	47	=	=	SYM
ejpam-4437	128	48	0.85	0.85	NUM
ejpam-4437	128	49	,	,	PUNCT
ejpam-4437	128	50	respectively	respectively	ADV
ejpam-4437	128	51	,	,	PUNCT
ejpam-4437	128	52	and	and	CCONJ
ejpam-4437	128	53	the	the	DET
ejpam-4437	128	54	stopping	stop	VERB
ejpam-4437	128	55	criterion	criterion	NOUN
ejpam-4437	128	56	||gn||	||gn||	ADV
ejpam-4437	128	57	≤	≤	NUM
ejpam-4437	128	58	1×	1×	NUM
ejpam-4437	128	59	10−5	10−5	NUM
ejpam-4437	128	60	is	be	AUX
ejpam-4437	128	61	used	use	VERB
ejpam-4437	128	62	.	.	PUNCT
ejpam-4437	129	1	the	the	DET
ejpam-4437	129	2	execution	execution	NOUN
ejpam-4437	129	3	was	be	AUX
ejpam-4437	129	4	also	also	ADV
ejpam-4437	129	5	analyzed	analyze	VERB
ejpam-4437	129	6	using	use	VERB
ejpam-4437	129	7	the	the	DET
ejpam-4437	129	8	performance	performance	NOUN
ejpam-4437	129	9	profile	profile	NOUN
ejpam-4437	129	10	software	software	NOUN
ejpam-4437	129	11	developed	develop	VERB
ejpam-4437	129	12	by	by	ADP
ejpam-4437	129	13	dolan	dolan	PROPN
ejpam-4437	129	14	and	and	CCONJ
ejpam-4437	129	15	mor’e	mor’e	PRON
ejpam-4437	130	1	[	[	X
ejpam-4437	130	2	9	9	NUM
ejpam-4437	130	3	]	]	PUNCT
ejpam-4437	130	4	,	,	PUNCT
ejpam-4437	130	5	as	as	SCONJ
ejpam-4437	130	6	shown	show	VERB
ejpam-4437	130	7	in	in	ADP
ejpam-4437	130	8	figures	figure	NOUN
ejpam-4437	130	9	1	1	NUM
ejpam-4437	130	10	and	and	CCONJ
ejpam-4437	130	11	2	2	NUM
ejpam-4437	130	12	.	.	X
ejpam-4437	130	13	figure	figure	NOUN
ejpam-4437	130	14	1	1	NUM
ejpam-4437	130	15	:	:	PUNCT
ejpam-4437	130	16	the	the	DET
ejpam-4437	130	17	performance	performance	NOUN
ejpam-4437	130	18	profile	profile	NOUN
ejpam-4437	130	19	of	of	ADP
ejpam-4437	130	20	iteration	iteration	NOUN
ejpam-4437	130	21	.	.	PUNCT
ejpam-4437	131	1	for	for	ADP
ejpam-4437	131	2	our	our	PRON
ejpam-4437	131	3	comparison	comparison	NOUN
ejpam-4437	131	4	,	,	PUNCT
ejpam-4437	131	5	we	we	PRON
ejpam-4437	131	6	keep	keep	VERB
ejpam-4437	131	7	track	track	NOUN
ejpam-4437	131	8	of	of	ADP
ejpam-4437	131	9	the	the	DET
ejpam-4437	131	10	number	number	NOUN
ejpam-4437	131	11	of	of	ADP
ejpam-4437	131	12	iterations	iteration	NOUN
ejpam-4437	131	13	denotes	denote	NOUN
ejpam-4437	131	14	(	(	PUNCT
ejpam-4437	131	15	no.i	no.i	NOUN
ejpam-4437	131	16	)	)	PUNCT
ejpam-4437	131	17	,	,	PUNCT
ejpam-4437	131	18	function	function	NOUN
ejpam-4437	131	19	evaluation	evaluation	NOUN
ejpam-4437	131	20	denotes	denote	NOUN
ejpam-4437	131	21	(	(	PUNCT
ejpam-4437	131	22	no.f	no.f	NOUN
ejpam-4437	131	23	)	)	PUNCT
ejpam-4437	131	24	,	,	PUNCT
ejpam-4437	131	25	finally	finally	ADV
ejpam-4437	131	26	the	the	DET
ejpam-4437	131	27	test	test	NOUN
ejpam-4437	131	28	function	function	NOUN
ejpam-4437	131	29	denotes	denote	NOUN
ejpam-4437	131	30	(	(	PUNCT
ejpam-4437	131	31	t.	t.	NOUN
ejpam-4437	131	32	fn	fn	PROPN
ejpam-4437	131	33	.	.	PUNCT
ejpam-4437	131	34	)	)	PUNCT
ejpam-4437	131	35	.	.	PUNCT
ejpam-4437	132	1	gh	gh	PROPN
ejpam-4437	132	2	.	.	PROPN
ejpam-4437	132	3	m.	m.	PROPN
ejpam-4437	132	4	al	al	PROPN
ejpam-4437	132	5	-	-	PUNCT
ejpam-4437	132	6	naemi	naemi	PROPN
ejpam-4437	132	7	,	,	PUNCT
ejpam-4437	132	8	f.	f.	PROPN
ejpam-4437	132	9	m.	m.	PROPN
ejpam-4437	132	10	saeed	saeed	PROPN
ejpam-4437	132	11	/	/	SYM
ejpam-4437	132	12	eur	eur	PROPN
ejpam-4437	132	13	.	.	PUNCT
ejpam-4437	133	1	j.	j.	PROPN
ejpam-4437	133	2	pure	pure	PROPN
ejpam-4437	133	3	appl	appl	PROPN
ejpam-4437	133	4	.	.	PROPN
ejpam-4437	133	5	math	math	PROPN
ejpam-4437	133	6	,	,	PUNCT
ejpam-4437	133	7	15	15	NUM
ejpam-4437	133	8	(	(	PUNCT
ejpam-4437	133	9	3	3	NUM
ejpam-4437	133	10	)	)	PUNCT
ejpam-4437	133	11	(	(	PUNCT
ejpam-4437	133	12	2022	2022	NUM
ejpam-4437	133	13	)	)	PUNCT
ejpam-4437	133	14	,	,	PUNCT
ejpam-4437	133	15	1254	1254	NUM
ejpam-4437	133	16	-	-	SYM
ejpam-4437	133	17	1264	1264	NUM
ejpam-4437	133	18	1261	1261	NUM
ejpam-4437	133	19	figure	figure	NOUN
ejpam-4437	133	20	2	2	NUM
ejpam-4437	133	21	:	:	PUNCT
ejpam-4437	133	22	the	the	DET
ejpam-4437	133	23	performance	performance	NOUN
ejpam-4437	133	24	profile	profile	NOUN
ejpam-4437	133	25	of	of	ADP
ejpam-4437	133	26	function	function	NOUN
ejpam-4437	133	27	evaluation	evaluation	NOUN
ejpam-4437	133	28	.	.	PUNCT
ejpam-4437	134	1	table	table	NOUN
ejpam-4437	134	2	1	1	NUM
ejpam-4437	134	3	:	:	PUNCT
ejpam-4437	134	4	compares	compare	VERB
ejpam-4437	134	5	two	two	NUM
ejpam-4437	134	6	terms	term	NOUN
ejpam-4437	134	7	(	(	PUNCT
ejpam-4437	134	8	βkmar	βkmar	VERB
ejpam-4437	134	9	k	k	PROPN
ejpam-4437	134	10	,	,	PUNCT
ejpam-4437	134	11	βprp	βprp	PROPN
ejpam-4437	134	12	k	k	PROPN
ejpam-4437	134	13	)	)	PUNCT
ejpam-4437	134	14	,	,	PUNCT
ejpam-4437	134	15	three	three	NUM
ejpam-4437	134	16	terms	term	NOUN
ejpam-4437	134	17	shanno	shanno	VERB
ejpam-4437	134	18	and	and	CCONJ
ejpam-4437	134	19	the	the	DET
ejpam-4437	134	20	proposed	propose	VERB
ejpam-4437	134	21	method	method	NOUN
ejpam-4437	134	22	ttkmar	ttkmar	PROPN
ejpam-4437	134	23	,	,	PUNCT
ejpam-4437	134	24	based	base	VERB
ejpam-4437	134	25	on	on	ADP
ejpam-4437	134	26	no	no	NOUN
ejpam-4437	134	27	.	.	PUNCT
ejpam-4437	135	1	i	i	PRON
ejpam-4437	135	2	and	and	CCONJ
ejpam-4437	135	3	no	no	INTJ
ejpam-4437	135	4	.	.	PUNCT
ejpam-4437	136	1	f.	f.	PROPN
ejpam-4437	136	2	(	(	PUNCT
ejpam-4437	136	3	n	n	PROPN
ejpam-4437	136	4	=	=	SYM
ejpam-4437	136	5	1000	1000	NUM
ejpam-4437	136	6	,	,	PUNCT
ejpam-4437	136	7	10000	10000	NUM
ejpam-4437	136	8	,	,	PUNCT
ejpam-4437	136	9	100000	100000	NUM
ejpam-4437	136	10	)	)	PUNCT
ejpam-4437	137	1	t.	t.	NOUN
ejpam-4437	137	2	fn	fn	PROPN
ejpam-4437	137	3	.	.	PUNCT
ejpam-4437	138	1	two	two	NUM
ejpam-4437	138	2	-	-	PUNCT
ejpam-4437	138	3	terms	term	NOUN
ejpam-4437	138	4	βprp	βprp	VERB
ejpam-4437	138	5	k	k	ADJ
ejpam-4437	138	6	two	two	NUM
ejpam-4437	138	7	-	-	PUNCT
ejpam-4437	138	8	terms	term	NOUN
ejpam-4437	138	9	βkmar	βkmar	VERB
ejpam-4437	138	10	k	k	PROPN
ejpam-4437	138	11	three	three	NUM
ejpam-4437	138	12	-	-	PUNCT
ejpam-4437	138	13	terms	term	NOUN
ejpam-4437	138	14	shanno	shanno	VERB
ejpam-4437	138	15	three	three	NUM
ejpam-4437	138	16	-	-	PUNCT
ejpam-4437	138	17	terms	term	NOUN
ejpam-4437	138	18	βmkmar	βmkmar	PROPN
ejpam-4437	138	19	k	k	PROPN
ejpam-4437	139	1	no	no	INTJ
ejpam-4437	139	2	.	.	PUNCT
ejpam-4437	140	1	i	i	PRON
ejpam-4437	140	2	no	no	INTJ
ejpam-4437	140	3	.	.	PUNCT
ejpam-4437	141	1	f	f	PROPN
ejpam-4437	142	1	no	no	INTJ
ejpam-4437	142	2	.	.	PUNCT
ejpam-4437	143	1	i	i	PRON
ejpam-4437	143	2	no	no	INTJ
ejpam-4437	143	3	.	.	PUNCT
ejpam-4437	144	1	f	f	PROPN
ejpam-4437	145	1	no	no	INTJ
ejpam-4437	145	2	.	.	PUNCT
ejpam-4437	146	1	i	i	PRON
ejpam-4437	146	2	no	no	INTJ
ejpam-4437	146	3	.	.	PUNCT
ejpam-4437	147	1	f	f	PROPN
ejpam-4437	148	1	no	no	INTJ
ejpam-4437	148	2	.	.	PUNCT
ejpam-4437	149	1	i	i	PRON
ejpam-4437	149	2	no	no	INTJ
ejpam-4437	149	3	.	.	PUNCT
ejpam-4437	150	1	f	f	PROPN
ejpam-4437	150	2	ex	ex	PROPN
ejpam-4437	150	3	.	.	PROPN
ejpam-4437	150	4	block	block	PROPN
ejpam-4437	150	5	diagonal-1	diagonal-1	NUM
ejpam-4437	150	6	161	161	NUM
ejpam-4437	150	7	337	337	NUM
ejpam-4437	150	8	155	155	NUM
ejpam-4437	150	9	332	332	NUM
ejpam-4437	150	10	156	156	NUM
ejpam-4437	150	11	335	335	NUM
ejpam-4437	150	12	151	151	NUM
ejpam-4437	150	13	319	319	NUM
ejpam-4437	150	14	wolfe	wolfe	PROPN
ejpam-4437	150	15	321	321	NUM
ejpam-4437	151	1	652	652	NUM
ejpam-4437	151	2	319	319	NUM
ejpam-4437	151	3	648	648	NUM
ejpam-4437	151	4	328	328	NUM
ejpam-4437	151	5	675	675	NUM
ejpam-4437	151	6	307	307	NUM
ejpam-4437	151	7	632	632	NUM
ejpam-4437	151	8	diagonal-6	diagonal-6	PROPN
ejpam-4437	151	9	(	(	PUNCT
ejpam-4437	151	10	cute	cute	ADJ
ejpam-4437	151	11	)	)	PUNCT
ejpam-4437	151	12	9	9	NUM
ejpam-4437	151	13	28	28	NUM
ejpam-4437	151	14	8	8	NUM
ejpam-4437	151	15	25	25	NUM
ejpam-4437	151	16	8	8	NUM
ejpam-4437	151	17	26	26	NUM
ejpam-4437	151	18	8	8	NUM
ejpam-4437	151	19	26	26	NUM
ejpam-4437	151	20	ex	ex	X
ejpam-4437	151	21	.	.	PROPN
ejpam-4437	151	22	beal	beal	NOUN
ejpam-4437	151	23	58	58	NUM
ejpam-4437	151	24	151	151	NUM
ejpam-4437	151	25	57	57	NUM
ejpam-4437	151	26	148	148	NUM
ejpam-4437	151	27	62	62	NUM
ejpam-4437	151	28	156	156	NUM
ejpam-4437	151	29	51	51	NUM
ejpam-4437	151	30	135	135	NUM
ejpam-4437	151	31	dixmaanab	dixmaanab	ADJ
ejpam-4437	151	32	(	(	PUNCT
ejpam-4437	151	33	cute	cute	ADJ
ejpam-4437	151	34	)	)	PUNCT
ejpam-4437	151	35	19	19	NUM
ejpam-4437	151	36	56	56	NUM
ejpam-4437	151	37	19	19	NUM
ejpam-4437	151	38	49	49	NUM
ejpam-4437	151	39	19	19	NUM
ejpam-4437	151	40	52	52	NUM
ejpam-4437	151	41	17	17	NUM
ejpam-4437	151	42	45	45	NUM
ejpam-4437	151	43	dixmaanaf	dixmaanaf	NOUN
ejpam-4437	151	44	(	(	PUNCT
ejpam-4437	151	45	cute	cute	ADJ
ejpam-4437	151	46	)	)	PUNCT
ejpam-4437	151	47	19	19	NUM
ejpam-4437	151	48	45	45	NUM
ejpam-4437	151	49	16	16	NUM
ejpam-4437	151	50	41	41	NUM
ejpam-4437	151	51	19	19	NUM
ejpam-4437	151	52	47	47	NUM
ejpam-4437	151	53	16	16	NUM
ejpam-4437	151	54	41	41	NUM
ejpam-4437	151	55	nond	nond	NOUN
ejpam-4437	151	56	155	155	NUM
ejpam-4437	151	57	422	422	NUM
ejpam-4437	151	58	180	180	NUM
ejpam-4437	151	59	592	592	NUM
ejpam-4437	151	60	178	178	NUM
ejpam-4437	151	61	598	598	NUM
ejpam-4437	151	62	149	149	NUM
ejpam-4437	151	63	413	413	NUM
ejpam-4437	151	64	powell	powell	NOUN
ejpam-4437	151	65	119	119	NUM
ejpam-4437	151	66	339	339	NUM
ejpam-4437	151	67	141	141	NUM
ejpam-4437	151	68	392	392	NUM
ejpam-4437	151	69	124	124	NUM
ejpam-4437	151	70	421	421	NUM
ejpam-4437	151	71	112	112	NUM
ejpam-4437	151	72	332	332	NUM
ejpam-4437	151	73	osp	osp	PROPN
ejpam-4437	151	74	1030	1030	NUM
ejpam-4437	151	75	1868	1868	NUM
ejpam-4437	151	76	1029	1029	NUM
ejpam-4437	151	77	1880	1880	NUM
ejpam-4437	151	78	1035	1035	NUM
ejpam-4437	151	79	2120	2120	NUM
ejpam-4437	151	80	1021	1021	NUM
ejpam-4437	151	81	1750	1750	NUM
ejpam-4437	151	82	pq	pq	NOUN
ejpam-4437	151	83	1010	1010	NUM
ejpam-4437	151	84	1901	1901	NUM
ejpam-4437	151	85	1007	1007	NUM
ejpam-4437	151	86	1890	1890	NUM
ejpam-4437	151	87	1010	1010	NUM
ejpam-4437	151	88	1938	1938	NUM
ejpam-4437	151	89	1008	1008	NUM
ejpam-4437	151	90	1894	1894	NUM
ejpam-4437	151	91	cubic	cubic	NOUN
ejpam-4437	151	92	54	54	NUM
ejpam-4437	151	93	131	131	NUM
ejpam-4437	151	94	72	72	NUM
ejpam-4437	151	95	197	197	NUM
ejpam-4437	151	96	48	48	NUM
ejpam-4437	151	97	149	149	NUM
ejpam-4437	151	98	45	45	NUM
ejpam-4437	151	99	127	127	NUM
ejpam-4437	151	100	shallow	shallow	ADJ
ejpam-4437	151	101	27	27	NUM
ejpam-4437	151	102	69	69	NUM
ejpam-4437	151	103	26	26	NUM
ejpam-4437	151	104	67	67	NUM
ejpam-4437	151	105	32	32	NUM
ejpam-4437	151	106	80	80	NUM
ejpam-4437	151	107	24	24	NUM
ejpam-4437	151	108	63	63	NUM
ejpam-4437	151	109	wood	wood	NOUN
ejpam-4437	151	110	94	94	NUM
ejpam-4437	151	111	220	220	NUM
ejpam-4437	151	112	103	103	NUM
ejpam-4437	151	113	235	235	NUM
ejpam-4437	151	114	99	99	NUM
ejpam-4437	151	115	273	273	NUM
ejpam-4437	151	116	101	101	NUM
ejpam-4437	151	117	227	227	NUM
ejpam-4437	151	118	ex	ex	X
ejpam-4437	151	119	.	.	PUNCT
ejpam-4437	152	1	wood	wood	NOUN
ejpam-4437	152	2	290	290	NUM
ejpam-4437	152	3	612	612	NUM
ejpam-4437	152	4	245	245	NUM
ejpam-4437	152	5	590	590	NUM
ejpam-4437	152	6	298	298	NUM
ejpam-4437	152	7	622	622	NUM
ejpam-4437	152	8	234	234	NUM
ejpam-4437	152	9	565	565	NUM
ejpam-4437	152	10	strait	strait	NOUN
ejpam-4437	152	11	18	18	NUM
ejpam-4437	152	12	42	42	NUM
ejpam-4437	152	13	18	18	NUM
ejpam-4437	152	14	42	42	NUM
ejpam-4437	152	15	18	18	NUM
ejpam-4437	152	16	42	42	NUM
ejpam-4437	152	17	18	18	NUM
ejpam-4437	152	18	42	42	NUM
ejpam-4437	152	19	ex	ex	NOUN
ejpam-4437	152	20	.	.	NOUN
ejpam-4437	152	21	three	three	NUM
ejpam-4437	152	22	exponential	exponential	NOUN
ejpam-4437	152	23	41	41	NUM
ejpam-4437	152	24	81	81	NUM
ejpam-4437	152	25	34	34	NUM
ejpam-4437	152	26	117	117	NUM
ejpam-4437	152	27	81	81	NUM
ejpam-4437	152	28	152	152	NUM
ejpam-4437	152	29	30	30	NUM
ejpam-4437	152	30	69	69	NUM
ejpam-4437	152	31	fred	fred	NOUN
ejpam-4437	152	32	65	65	NUM
ejpam-4437	152	33	179	179	NUM
ejpam-4437	152	34	63	63	NUM
ejpam-4437	152	35	172	172	NUM
ejpam-4437	152	36	76	76	NUM
ejpam-4437	152	37	196	196	NUM
ejpam-4437	152	38	60	60	NUM
ejpam-4437	152	39	162	162	NUM
ejpam-4437	152	40	quadratic	quadratic	ADJ
ejpam-4437	152	41	fn	fn	NOUN
ejpam-4437	152	42	.	.	PUNCT
ejpam-4437	153	1	qf1	qf1	ADJ
ejpam-4437	153	2	1191	1191	NUM
ejpam-4437	153	3	2335	2335	NUM
ejpam-4437	153	4	1190	1190	NUM
ejpam-4437	153	5	2332	2332	NUM
ejpam-4437	153	6	1193	1193	NUM
ejpam-4437	153	7	2347	2347	NUM
ejpam-4437	153	8	1185	1185	NUM
ejpam-4437	153	9	2328	2328	NUM
ejpam-4437	153	10	cosine	cosine	NOUN
ejpam-4437	153	11	34	34	NUM
ejpam-4437	153	12	86	86	NUM
ejpam-4437	153	13	34	34	NUM
ejpam-4437	153	14	86	86	NUM
ejpam-4437	153	15	34	34	NUM
ejpam-4437	153	16	86	86	NUM
ejpam-4437	153	17	34	34	NUM
ejpam-4437	153	18	86	86	NUM
ejpam-4437	153	19	gen	gen	PROPN
ejpam-4437	153	20	.	.	PUNCT
ejpam-4437	154	1	tridiagonal-2	tridiagonal-2	PROPN
ejpam-4437	154	2	123	123	NUM
ejpam-4437	154	3	256	256	NUM
ejpam-4437	154	4	120	120	NUM
ejpam-4437	154	5	251	251	NUM
ejpam-4437	154	6	125	125	NUM
ejpam-4437	154	7	275	275	NUM
ejpam-4437	154	8	118	118	NUM
ejpam-4437	154	9	253	253	NUM
ejpam-4437	154	10	diagonal-5	diagonal-5	NUM
ejpam-4437	154	11	11	11	NUM
ejpam-4437	154	12	40	40	NUM
ejpam-4437	154	13	11	11	NUM
ejpam-4437	154	14	40	40	NUM
ejpam-4437	154	15	11	11	NUM
ejpam-4437	154	16	40	40	NUM
ejpam-4437	154	17	11	11	NUM
ejpam-4437	154	18	40	40	NUM
ejpam-4437	154	19	helical	helical	ADJ
ejpam-4437	154	20	105	105	NUM
ejpam-4437	154	21	242	242	NUM
ejpam-4437	154	22	103	103	NUM
ejpam-4437	154	23	238	238	NUM
ejpam-4437	154	24	92	92	NUM
ejpam-4437	154	25	218	218	NUM
ejpam-4437	154	26	107	107	NUM
ejpam-4437	154	27	248	248	NUM
ejpam-4437	154	28	denschnb	denschnb	VERB
ejpam-4437	154	29	62	62	NUM
ejpam-4437	154	30	130	130	NUM
ejpam-4437	154	31	66	66	NUM
ejpam-4437	154	32	138	138	NUM
ejpam-4437	154	33	65	65	NUM
ejpam-4437	154	34	144	144	NUM
ejpam-4437	154	35	70	70	NUM
ejpam-4437	154	36	146	146	NUM
ejpam-4437	154	37	denschnf	denschnf	NOUN
ejpam-4437	154	38	60	60	NUM
ejpam-4437	154	39	183	183	NUM
ejpam-4437	154	40	51	51	NUM
ejpam-4437	155	1	177	177	NUM
ejpam-4437	155	2	61	61	NUM
ejpam-4437	155	3	190	190	NUM
ejpam-4437	155	4	42	42	NUM
ejpam-4437	155	5	167	167	NUM
ejpam-4437	155	6	total	total	NOUN
ejpam-4437	155	7	no	no	INTJ
ejpam-4437	155	8	.	.	PUNCT
ejpam-4437	156	1	i	i	PRON
ejpam-4437	156	2	5076	5076	NUM
ejpam-4437	156	3	4967	4967	NUM
ejpam-4437	156	4	5172	5172	NUM
ejpam-4437	156	5	4919	4919	NUM
ejpam-4437	157	1	no	no	INTJ
ejpam-4437	157	2	.	.	PUNCT
ejpam-4437	158	1	f	f	PROPN
ejpam-4437	158	2	11176	11176	NUM
ejpam-4437	158	3	10691	10691	NUM
ejpam-4437	158	4	11182	11182	NUM
ejpam-4437	158	5	10110	10110	NUM
ejpam-4437	158	6	references	reference	NOUN
ejpam-4437	158	7	1262	1262	NUM
ejpam-4437	158	8	table	table	NOUN
ejpam-4437	158	9	2	2	NUM
ejpam-4437	158	10	:	:	PUNCT
ejpam-4437	158	11	the	the	DET
ejpam-4437	158	12	work	work	NOUN
ejpam-4437	158	13	of	of	ADP
ejpam-4437	158	14	the	the	DET
ejpam-4437	158	15	proposed	propose	VERB
ejpam-4437	158	16	method	method	NOUN
ejpam-4437	158	17	is	be	AUX
ejpam-4437	158	18	shown	show	VERB
ejpam-4437	158	19	in	in	ADP
ejpam-4437	158	20	percentage	percentage	NOUN
ejpam-4437	158	21	.	.	PUNCT
ejpam-4437	159	1	measures	measure	NOUN
ejpam-4437	159	2	two	two	NUM
ejpam-4437	159	3	-	-	PUNCT
ejpam-4437	159	4	terms	term	NOUN
ejpam-4437	159	5	βprp	βprp	VERB
ejpam-4437	159	6	k	k	ADJ
ejpam-4437	159	7	two	two	NUM
ejpam-4437	159	8	-	-	PUNCT
ejpam-4437	159	9	terms	term	NOUN
ejpam-4437	159	10	βkmar	βkmar	VERB
ejpam-4437	159	11	k	k	PROPN
ejpam-4437	159	12	three	three	NUM
ejpam-4437	159	13	-	-	PUNCT
ejpam-4437	159	14	terms	term	NOUN
ejpam-4437	159	15	shanno	shanno	VERB
ejpam-4437	159	16	three	three	NUM
ejpam-4437	159	17	-	-	PUNCT
ejpam-4437	159	18	terms	term	NOUN
ejpam-4437	159	19	βmkmar	βmkmar	PROPN
ejpam-4437	159	20	k	k	PROPN
ejpam-4437	159	21	no.i	no.i	VERB
ejpam-4437	159	22	98.14	98.14	NUM
ejpam-4437	159	23	%	%	NOUN
ejpam-4437	159	24	96.04	96.04	NUM
ejpam-4437	159	25	%	%	NOUN
ejpam-4437	159	26	100	100	NUM
ejpam-4437	159	27	%	%	NOUN
ejpam-4437	159	28	95.11	95.11	NUM
ejpam-4437	159	29	%	%	NOUN
ejpam-4437	159	30	no.f	no.f	NOUN
ejpam-4437	159	31	99.95	99.95	NUM
ejpam-4437	159	32	%	%	NOUN
ejpam-4437	159	33	95.61	95.61	NUM
ejpam-4437	159	34	%	%	NOUN
ejpam-4437	159	35	100	100	NUM
ejpam-4437	159	36	%	%	NOUN
ejpam-4437	159	37	90.41	90.41	NUM
ejpam-4437	159	38	%	%	NOUN
ejpam-4437	159	39	in	in	ADP
ejpam-4437	159	40	terms	term	NOUN
ejpam-4437	159	41	of	of	ADP
ejpam-4437	159	42	percentage	percentage	NOUN
ejpam-4437	159	43	performance	performance	NOUN
ejpam-4437	159	44	,	,	PUNCT
ejpam-4437	159	45	table	table	NOUN
ejpam-4437	159	46	2	2	NUM
ejpam-4437	159	47	shows	show	VERB
ejpam-4437	159	48	that	that	SCONJ
ejpam-4437	159	49	the	the	DET
ejpam-4437	159	50	three	three	NUM
ejpam-4437	159	51	-	-	PUNCT
ejpam-4437	159	52	term	term	NOUN
ejpam-4437	159	53	βmkmar	βmkmar	PROPN
ejpam-4437	159	54	k	k	PROPN
ejpam-4437	159	55	method	method	PROPN
ejpam-4437	159	56	outperforms	outperform	VERB
ejpam-4437	159	57	the	the	DET
ejpam-4437	159	58	classic	classic	ADJ
ejpam-4437	159	59	two	two	NUM
ejpam-4437	159	60	-	-	PUNCT
ejpam-4437	159	61	term	term	NOUN
ejpam-4437	159	62	βprp	βprp	NOUN
ejpam-4437	159	63	k	k	PROPN
ejpam-4437	159	64	,	,	PUNCT
ejpam-4437	159	65	two	two	NUM
ejpam-4437	159	66	-	-	PUNCT
ejpam-4437	159	67	term	term	NOUN
ejpam-4437	159	68	βkmar	βkmar	PROPN
ejpam-4437	159	69	k	k	PROPN
ejpam-4437	159	70	,	,	PUNCT
ejpam-4437	159	71	and	and	CCONJ
ejpam-4437	159	72	three	three	NUM
ejpam-4437	159	73	-	-	PUNCT
ejpam-4437	159	74	term	term	NOUN
ejpam-4437	159	75	shanno	shanno	NOUN
ejpam-4437	159	76	methods	method	NOUN
ejpam-4437	159	77	.	.	PUNCT
ejpam-4437	160	1	we	we	PRON
ejpam-4437	160	2	discovered	discover	VERB
ejpam-4437	160	3	that	that	SCONJ
ejpam-4437	160	4	the	the	DET
ejpam-4437	160	5	three	three	NUM
ejpam-4437	160	6	-	-	PUNCT
ejpam-4437	160	7	term	term	NOUN
ejpam-4437	160	8	βmkmar	βmkmar	PROPN
ejpam-4437	160	9	k	k	PROPN
ejpam-4437	160	10	method	method	PROPN
ejpam-4437	160	11	saves	save	VERB
ejpam-4437	160	12	(	(	PUNCT
ejpam-4437	160	13	no	no	INTJ
ejpam-4437	160	14	.	.	PUNCT
ejpam-4437	161	1	i	i	PRON
ejpam-4437	161	2	,	,	PUNCT
ejpam-4437	161	3	4.89	4.89	NUM
ejpam-4437	161	4	%	%	NOUN
ejpam-4437	161	5	)	)	PUNCT
ejpam-4437	161	6	,	,	PUNCT
ejpam-4437	161	7	(	(	PUNCT
ejpam-4437	161	8	no.f	no.f	NOUN
ejpam-4437	161	9	,	,	PUNCT
ejpam-4437	161	10	9.59	9.59	NUM
ejpam-4437	161	11	%	%	NOUN
ejpam-4437	161	12	)	)	PUNCT
ejpam-4437	161	13	,	,	PUNCT
ejpam-4437	161	14	the	the	DET
ejpam-4437	161	15	two	two	NUM
ejpam-4437	161	16	-	-	PUNCT
ejpam-4437	161	17	term	term	NOUN
ejpam-4437	161	18	βprp	βprp	NOUN
ejpam-4437	161	19	k	k	PROPN
ejpam-4437	161	20	method	method	NOUN
ejpam-4437	161	21	saves	save	VERB
ejpam-4437	161	22	(	(	PUNCT
ejpam-4437	161	23	no.i	no.i	X
ejpam-4437	161	24	,	,	PUNCT
ejpam-4437	161	25	1.86	1.86	NUM
ejpam-4437	161	26	%	%	NOUN
ejpam-4437	161	27	)	)	PUNCT
ejpam-4437	161	28	,	,	PUNCT
ejpam-4437	161	29	(	(	PUNCT
ejpam-4437	161	30	no.f	no.f	NOUN
ejpam-4437	161	31	no.f	no.f	NOUN
ejpam-4437	161	32	,	,	PUNCT
ejpam-4437	161	33	0.05	0.05	NUM
ejpam-4437	161	34	%	%	NOUN
ejpam-4437	161	35	)	)	PUNCT
ejpam-4437	161	36	,	,	PUNCT
ejpam-4437	161	37	and	and	CCONJ
ejpam-4437	161	38	the	the	DET
ejpam-4437	161	39	two	two	NUM
ejpam-4437	161	40	-	-	PUNCT
ejpam-4437	161	41	term	term	NOUN
ejpam-4437	161	42	βkmar	βkmar	NOUN
ejpam-4437	161	43	k	k	PROPN
ejpam-4437	161	44	method	method	PROPN
ejpam-4437	161	45	saves	save	VERB
ejpam-4437	161	46	(	(	PUNCT
ejpam-4437	161	47	no.i	no.i	X
ejpam-4437	161	48	,	,	PUNCT
ejpam-4437	161	49	3.96	3.96	NUM
ejpam-4437	161	50	%	%	NOUN
ejpam-4437	161	51	)	)	PUNCT
ejpam-4437	161	52	.	.	PUNCT
ejpam-4437	162	1	(	(	PUNCT
ejpam-4437	162	2	no.f	no.f	NOUN
ejpam-4437	162	3	,	,	PUNCT
ejpam-4437	162	4	4.39	4.39	NUM
ejpam-4437	162	5	%	%	NOUN
ejpam-4437	162	6	)	)	PUNCT
ejpam-4437	162	7	.	.	PUNCT
ejpam-4437	163	1	this	this	DET
ejpam-4437	163	2	behavior	behavior	NOUN
ejpam-4437	163	3	can	can	AUX
ejpam-4437	163	4	be	be	AUX
ejpam-4437	163	5	explained	explain	VERB
ejpam-4437	163	6	by	by	ADP
ejpam-4437	163	7	making	make	VERB
ejpam-4437	163	8	a	a	DET
ejpam-4437	163	9	minor	minor	ADJ
ejpam-4437	163	10	change	change	NOUN
ejpam-4437	163	11	and	and	CCONJ
ejpam-4437	163	12	adding	add	VERB
ejpam-4437	163	13	a	a	DET
ejpam-4437	163	14	third	third	ADJ
ejpam-4437	163	15	term	term	NOUN
ejpam-4437	163	16	to	to	ADP
ejpam-4437	163	17	the	the	DET
ejpam-4437	163	18	direction	direction	NOUN
ejpam-4437	163	19	of	of	ADP
ejpam-4437	163	20	the	the	DET
ejpam-4437	163	21	twoterm	twoterm	NOUN
ejpam-4437	163	22	βkmar	βkmar	PROPN
ejpam-4437	163	23	k	k	PROPN
ejpam-4437	163	24	method	method	PROPN
ejpam-4437	163	25	,	,	PUNCT
ejpam-4437	163	26	so	so	SCONJ
ejpam-4437	163	27	that	that	SCONJ
ejpam-4437	163	28	the	the	DET
ejpam-4437	163	29	generated	generate	VERB
ejpam-4437	163	30	direction	direction	NOUN
ejpam-4437	163	31	always	always	ADV
ejpam-4437	163	32	meets	meet	VERB
ejpam-4437	163	33	the	the	DET
ejpam-4437	163	34	sufficient	sufficient	ADJ
ejpam-4437	163	35	descent	descent	NOUN
ejpam-4437	163	36	and	and	CCONJ
ejpam-4437	163	37	globally	globally	ADV
ejpam-4437	163	38	convergent	convergent	ADJ
ejpam-4437	163	39	conditions	condition	NOUN
ejpam-4437	163	40	.	.	PUNCT
ejpam-4437	164	1	6	6	X
ejpam-4437	164	2	.	.	X
ejpam-4437	164	3	conclusions	conclusion	NOUN
ejpam-4437	164	4	we	we	PRON
ejpam-4437	164	5	suggested	suggest	VERB
ejpam-4437	164	6	a	a	DET
ejpam-4437	164	7	modification	modification	NOUN
ejpam-4437	164	8	of	of	ADP
ejpam-4437	164	9	spectral	spectral	ADJ
ejpam-4437	164	10	βkmar	βkmar	NOUN
ejpam-4437	164	11	k	k	PROPN
ejpam-4437	164	12	using	use	VERB
ejpam-4437	164	13	three	three	NUM
ejpam-4437	164	14	-	-	PUNCT
ejpam-4437	164	15	term	term	NOUN
ejpam-4437	164	16	conjugate	conjugate	ADJ
ejpam-4437	164	17	gradient	gradient	NOUN
ejpam-4437	164	18	method	method	NOUN
ejpam-4437	164	19	which	which	PRON
ejpam-4437	164	20	defined	define	VERB
ejpam-4437	164	21	by	by	ADP
ejpam-4437	164	22	(	(	PUNCT
ejpam-4437	164	23	16	16	NUM
ejpam-4437	164	24	)	)	PUNCT
ejpam-4437	164	25	and	and	CCONJ
ejpam-4437	164	26	prove	prove	VERB
ejpam-4437	164	27	that	that	SCONJ
ejpam-4437	164	28	our	our	PRON
ejpam-4437	164	29	proposed	propose	VERB
ejpam-4437	164	30	method	method	NOUN
ejpam-4437	164	31	satisfied	satisfy	VERB
ejpam-4437	164	32	global	global	ADJ
ejpam-4437	164	33	convergent	convergent	NOUN
ejpam-4437	164	34	and	and	CCONJ
ejpam-4437	164	35	desent	desent	ADJ
ejpam-4437	164	36	condition	condition	NOUN
ejpam-4437	164	37	.	.	PUNCT
ejpam-4437	165	1	the	the	DET
ejpam-4437	165	2	numerical	numerical	ADJ
ejpam-4437	165	3	results	result	NOUN
ejpam-4437	165	4	show	show	VERB
ejpam-4437	165	5	that	that	SCONJ
ejpam-4437	165	6	the	the	DET
ejpam-4437	165	7	new	new	ADJ
ejpam-4437	165	8	method	method	NOUN
ejpam-4437	165	9	(	(	PUNCT
ejpam-4437	165	10	ttkmar	ttkmar	NOUN
ejpam-4437	165	11	)	)	PUNCT
ejpam-4437	165	12	is	be	AUX
ejpam-4437	165	13	better	well	ADJ
ejpam-4437	165	14	than	than	ADP
ejpam-4437	165	15	the	the	DET
ejpam-4437	165	16	classic	classic	ADJ
ejpam-4437	165	17	two	two	NUM
ejpam-4437	165	18	-	-	PUNCT
ejpam-4437	165	19	term	term	NOUN
ejpam-4437	165	20	βprp	βprp	NOUN
ejpam-4437	165	21	k	k	PROPN
ejpam-4437	165	22	,	,	PUNCT
ejpam-4437	165	23	two	two	NUM
ejpam-4437	165	24	-	-	PUNCT
ejpam-4437	165	25	term	term	NOUN
ejpam-4437	165	26	βkmar	βkmar	PROPN
ejpam-4437	165	27	k	k	PROPN
ejpam-4437	165	28	,	,	PUNCT
ejpam-4437	165	29	and	and	CCONJ
ejpam-4437	165	30	three	three	NUM
ejpam-4437	165	31	-	-	PUNCT
ejpam-4437	165	32	term	term	NOUN
ejpam-4437	165	33	shanno	shanno	NOUN
ejpam-4437	165	34	methods	method	NOUN
ejpam-4437	165	35	and	and	CCONJ
ejpam-4437	165	36	more	more	ADV
ejpam-4437	165	37	effective	effective	ADJ
ejpam-4437	165	38	in	in	ADP
ejpam-4437	165	39	practically	practically	ADV
ejpam-4437	165	40	.	.	PUNCT
ejpam-4437	166	1	references	reference	NOUN
ejpam-4437	166	2	[	[	X
ejpam-4437	166	3	1	1	NUM
ejpam-4437	166	4	]	]	X
ejpam-4437	166	5	ghada	ghada	PROPN
ejpam-4437	166	6	m.	m.	PROPN
ejpam-4437	166	7	al	al	PROPN
ejpam-4437	166	8	-	-	PUNCT
ejpam-4437	166	9	naemi	naemi	NOUN
ejpam-4437	166	10	.	.	PUNCT
ejpam-4437	167	1	a	a	DET
ejpam-4437	167	2	new	new	ADJ
ejpam-4437	167	3	modified	modify	VERB
ejpam-4437	167	4	hs	hs	PROPN
ejpam-4437	167	5	algorithm	algorithm	PROPN
ejpam-4437	167	6	with	with	ADP
ejpam-4437	167	7	strong	strong	ADJ
ejpam-4437	167	8	powell	powell	PROPN
ejpam-4437	167	9	-	-	PUNCT
ejpam-4437	167	10	wolfe	wolfe	PROPN
ejpam-4437	167	11	line	line	NOUN
ejpam-4437	167	12	search	search	NOUN
ejpam-4437	167	13	for	for	ADP
ejpam-4437	167	14	unconstrained	unconstrained	ADJ
ejpam-4437	167	15	optimization	optimization	NOUN
ejpam-4437	167	16	.	.	PUNCT
ejpam-4437	168	1	eastern	eastern	ADJ
ejpam-4437	168	2	-	-	PUNCT
ejpam-4437	168	3	european	european	ADJ
ejpam-4437	168	4	journal	journal	NOUN
ejpam-4437	168	5	of	of	ADP
ejpam-4437	168	6	enterprise	enterprise	NOUN
ejpam-4437	168	7	technologies	technology	NOUN
ejpam-4437	168	8	,	,	PUNCT
ejpam-4437	168	9	116:14–21	116:14–21	NUM
ejpam-4437	168	10	,	,	PUNCT
ejpam-4437	168	11	2022	2022	NUM
ejpam-4437	168	12	.	.	PUNCT
ejpam-4437	169	1	[	[	X
ejpam-4437	169	2	2	2	NUM
ejpam-4437	169	3	]	]	X
ejpam-4437	169	4	ghada	ghada	PROPN
ejpam-4437	169	5	m	m	PROPN
ejpam-4437	169	6	al	al	PROPN
ejpam-4437	169	7	-	-	PUNCT
ejpam-4437	169	8	naemi	naemi	PROPN
ejpam-4437	169	9	and	and	CCONJ
ejpam-4437	169	10	ahmed	ahmed	PROPN
ejpam-4437	169	11	h	h	PROPN
ejpam-4437	169	12	sheekoo	sheekoo	NOUN
ejpam-4437	169	13	.	.	PUNCT
ejpam-4437	170	1	new	new	ADJ
ejpam-4437	170	2	scaled	scale	VERB
ejpam-4437	170	3	algorithm	algorithm	NOUN
ejpam-4437	170	4	for	for	ADP
ejpam-4437	170	5	non	non	ADJ
ejpam-4437	170	6	-	-	ADJ
ejpam-4437	170	7	linear	linear	ADJ
ejpam-4437	170	8	conjugate	conjugate	ADJ
ejpam-4437	170	9	gradients	gradient	NOUN
ejpam-4437	170	10	in	in	ADP
ejpam-4437	170	11	unconstrained	unconstrained	ADJ
ejpam-4437	170	12	optimization	optimization	NOUN
ejpam-4437	170	13	.	.	PUNCT
ejpam-4437	171	1	indonesian	indonesian	ADJ
ejpam-4437	171	2	journal	journal	PROPN
ejpam-4437	171	3	of	of	ADP
ejpam-4437	171	4	electrical	electrical	ADJ
ejpam-4437	171	5	engineering	engineering	NOUN
ejpam-4437	171	6	and	and	CCONJ
ejpam-4437	171	7	computer	computer	NOUN
ejpam-4437	171	8	science	science	NOUN
ejpam-4437	171	9	,	,	PUNCT
ejpam-4437	171	10	24(3):1589–1595	24(3):1589–1595	NUM
ejpam-4437	171	11	,	,	PUNCT
ejpam-4437	171	12	2021	2021	NUM
ejpam-4437	171	13	.	.	PUNCT
ejpam-4437	172	1	[	[	X
ejpam-4437	172	2	3	3	NUM
ejpam-4437	172	3	]	]	X
ejpam-4437	172	4	neculai	neculai	PROPN
ejpam-4437	172	5	andrei	andrei	PROPN
ejpam-4437	172	6	.	.	PUNCT
ejpam-4437	172	7	test	test	NOUN
ejpam-4437	172	8	functions	function	NOUN
ejpam-4437	172	9	for	for	ADP
ejpam-4437	172	10	unconstrained	unconstrained	ADJ
ejpam-4437	172	11	optimization	optimization	NOUN
ejpam-4437	172	12	.	.	PUNCT
ejpam-4437	173	1	research	research	NOUN
ejpam-4437	173	2	institute	institute	PROPN
ejpam-4437	173	3	for	for	ADP
ejpam-4437	173	4	informatics	informatics	PROPN
ejpam-4437	173	5	.	.	PUNCT
ejpam-4437	174	1	center	center	NOUN
ejpam-4437	174	2	for	for	ADP
ejpam-4437	174	3	advanced	advanced	ADJ
ejpam-4437	174	4	modeling	modeling	NOUN
ejpam-4437	174	5	and	and	CCONJ
ejpam-4437	174	6	optimization	optimization	NOUN
ejpam-4437	174	7	,	,	PUNCT
ejpam-4437	174	8	pages	page	NOUN
ejpam-4437	174	9	8–10	8–10	NOUN
ejpam-4437	174	10	,	,	PUNCT
ejpam-4437	174	11	2004	2004	NUM
ejpam-4437	174	12	.	.	PUNCT
ejpam-4437	175	1	[	[	X
ejpam-4437	175	2	4	4	NUM
ejpam-4437	175	3	]	]	X
ejpam-4437	175	4	neculai	neculai	ADJ
ejpam-4437	175	5	andrei	andrei	NOUN
ejpam-4437	175	6	.	.	PUNCT
ejpam-4437	176	1	an	an	DET
ejpam-4437	176	2	unconstrained	unconstrained	ADJ
ejpam-4437	176	3	optimization	optimization	NOUN
ejpam-4437	176	4	test	test	NOUN
ejpam-4437	176	5	functions	function	NOUN
ejpam-4437	176	6	collection	collection	NOUN
ejpam-4437	176	7	.	.	PUNCT
ejpam-4437	177	1	adv	adv	PROPN
ejpam-4437	177	2	.	.	PUNCT
ejpam-4437	177	3	model	model	PROPN
ejpam-4437	177	4	.	.	PUNCT
ejpam-4437	178	1	optim	optim	ADJ
ejpam-4437	178	2	,	,	PUNCT
ejpam-4437	178	3	10(1):147–161	10(1):147–161	PROPN
ejpam-4437	178	4	,	,	PUNCT
ejpam-4437	178	5	2008	2008	NUM
ejpam-4437	178	6	.	.	PUNCT
ejpam-4437	179	1	[	[	X
ejpam-4437	179	2	5	5	NUM
ejpam-4437	179	3	]	]	X
ejpam-4437	179	4	neculai	neculai	PROPN
ejpam-4437	179	5	andrei	andrei	PROPN
ejpam-4437	179	6	.	.	PUNCT
ejpam-4437	180	1	nonlinear	nonlinear	ADJ
ejpam-4437	180	2	conjugate	conjugate	ADJ
ejpam-4437	180	3	gradient	gradient	ADJ
ejpam-4437	180	4	methods	method	NOUN
ejpam-4437	180	5	for	for	ADP
ejpam-4437	180	6	unconstrained	unconstrained	ADJ
ejpam-4437	180	7	optimization	optimization	NOUN
ejpam-4437	180	8	.	.	PUNCT
ejpam-4437	181	1	springer	springer	NOUN
ejpam-4437	181	2	international	international	ADJ
ejpam-4437	181	3	publishing	publishing	NOUN
ejpam-4437	181	4	,	,	PUNCT
ejpam-4437	181	5	2020	2020	NUM
ejpam-4437	181	6	.	.	PUNCT
ejpam-4437	182	1	references	reference	NOUN
ejpam-4437	182	2	1263	1263	NUM
ejpam-4437	182	3	[	[	X
ejpam-4437	182	4	6	6	NUM
ejpam-4437	182	5	]	]	PUNCT
ejpam-4437	182	6	saman	saman	PROPN
ejpam-4437	182	7	babaie	babaie	PROPN
ejpam-4437	182	8	-	-	PUNCT
ejpam-4437	182	9	kafaki	kafaki	PROPN
ejpam-4437	182	10	,	,	PUNCT
ejpam-4437	182	11	reza	reza	PROPN
ejpam-4437	182	12	ghanbari	ghanbari	NOUN
ejpam-4437	182	13	,	,	PUNCT
ejpam-4437	182	14	and	and	CCONJ
ejpam-4437	182	15	nezam	nezam	ADJ
ejpam-4437	182	16	mahdavi	mahdavi	NOUN
ejpam-4437	182	17	-	-	PUNCT
ejpam-4437	182	18	amiri	amiri	PROPN
ejpam-4437	182	19	.	.	PUNCT
ejpam-4437	183	1	two	two	NUM
ejpam-4437	183	2	new	new	ADJ
ejpam-4437	183	3	conjugate	conjugate	ADJ
ejpam-4437	183	4	gradient	gradient	NOUN
ejpam-4437	183	5	methods	method	NOUN
ejpam-4437	183	6	based	base	VERB
ejpam-4437	183	7	on	on	ADP
ejpam-4437	183	8	modified	modified	ADJ
ejpam-4437	183	9	secant	secant	ADJ
ejpam-4437	183	10	equations	equation	NOUN
ejpam-4437	183	11	.	.	PUNCT
ejpam-4437	184	1	journal	journal	PROPN
ejpam-4437	184	2	of	of	ADP
ejpam-4437	184	3	computational	computational	ADJ
ejpam-4437	184	4	and	and	CCONJ
ejpam-4437	184	5	applied	applied	ADJ
ejpam-4437	184	6	mathematics	mathematic	NOUN
ejpam-4437	184	7	,	,	PUNCT
ejpam-4437	184	8	234(5):1374–1386	234(5):1374–1386	NUM
ejpam-4437	184	9	,	,	PUNCT
ejpam-4437	184	10	2010	2010	NUM
ejpam-4437	184	11	.	.	PUNCT
ejpam-4437	185	1	[	[	X
ejpam-4437	185	2	7	7	NUM
ejpam-4437	185	3	]	]	PUNCT
ejpam-4437	185	4	i.	i.	NOUN
ejpam-4437	185	5	bongartz	bongartz	PROPN
ejpam-4437	185	6	,	,	PUNCT
ejpam-4437	185	7	a.	a.	PROPN
ejpam-4437	185	8	r.	r.	PROPN
ejpam-4437	185	9	conn	conn	PROPN
ejpam-4437	185	10	,	,	PUNCT
ejpam-4437	185	11	nick	nick	PROPN
ejpam-4437	185	12	gould	gould	PROPN
ejpam-4437	185	13	,	,	PUNCT
ejpam-4437	185	14	and	and	CCONJ
ejpam-4437	185	15	ph	ph	PROPN
ejpam-4437	185	16	.	.	PROPN
ejpam-4437	185	17	l.	l.	PROPN
ejpam-4437	185	18	toint	toint	PROPN
ejpam-4437	185	19	.	.	PUNCT
ejpam-4437	186	1	cute	cute	VERB
ejpam-4437	186	2	.	.	PUNCT
ejpam-4437	187	1	acm	acm	NOUN
ejpam-4437	187	2	transactions	transaction	NOUN
ejpam-4437	187	3	on	on	ADP
ejpam-4437	187	4	mathematical	mathematical	ADJ
ejpam-4437	187	5	software	software	NOUN
ejpam-4437	187	6	,	,	PUNCT
ejpam-4437	187	7	21(1):123–160	21(1):123–160	PROPN
ejpam-4437	187	8	,	,	PUNCT
ejpam-4437	187	9	mar	mar	PROPN
ejpam-4437	187	10	1995	1995	NUM
ejpam-4437	187	11	.	.	PUNCT
ejpam-4437	188	1	[	[	X
ejpam-4437	188	2	8	8	NUM
ejpam-4437	188	3	]	]	X
ejpam-4437	188	4	yu	yu	PROPN
ejpam-4437	188	5	-	-	PROPN
ejpam-4437	188	6	hong	hong	PROPN
ejpam-4437	188	7	dai	dai	PROPN
ejpam-4437	188	8	and	and	CCONJ
ejpam-4437	188	9	yaxiang	yaxiang	PROPN
ejpam-4437	188	10	yuan	yuan	PROPN
ejpam-4437	188	11	.	.	PUNCT
ejpam-4437	189	1	a	a	DET
ejpam-4437	189	2	nonlinear	nonlinear	ADJ
ejpam-4437	189	3	conjugate	conjugate	ADJ
ejpam-4437	189	4	gradient	gradient	NOUN
ejpam-4437	189	5	method	method	NOUN
ejpam-4437	189	6	with	with	ADP
ejpam-4437	189	7	a	a	DET
ejpam-4437	189	8	strong	strong	ADJ
ejpam-4437	189	9	global	global	ADJ
ejpam-4437	189	10	convergence	convergence	NOUN
ejpam-4437	189	11	property	property	NOUN
ejpam-4437	189	12	.	.	PUNCT
ejpam-4437	190	1	siam	siam	PROPN
ejpam-4437	190	2	journal	journal	PROPN
ejpam-4437	190	3	on	on	ADP
ejpam-4437	190	4	optimization	optimization	NOUN
ejpam-4437	190	5	,	,	PUNCT
ejpam-4437	190	6	10(1):177–182	10(1):177–182	NUM
ejpam-4437	190	7	,	,	PUNCT
ejpam-4437	190	8	1999	1999	NUM
ejpam-4437	190	9	.	.	PUNCT
ejpam-4437	191	1	[	[	X
ejpam-4437	191	2	9	9	NUM
ejpam-4437	191	3	]	]	PUNCT
ejpam-4437	191	4	elizabeth	elizabeth	PROPN
ejpam-4437	191	5	d.	d.	PROPN
ejpam-4437	191	6	dolan	dolan	PROPN
ejpam-4437	191	7	and	and	CCONJ
ejpam-4437	191	8	jorge	jorge	PROPN
ejpam-4437	191	9	j.	j.	PROPN
ejpam-4437	191	10	moré.	moré.	PROPN
ejpam-4437	191	11	benchmarking	benchmarke	VERB
ejpam-4437	191	12	optimization	optimization	NOUN
ejpam-4437	191	13	software	software	NOUN
ejpam-4437	191	14	with	with	ADP
ejpam-4437	191	15	performance	performance	NOUN
ejpam-4437	191	16	profiles	profile	NOUN
ejpam-4437	191	17	.	.	PUNCT
ejpam-4437	192	1	mathematical	mathematical	ADJ
ejpam-4437	192	2	programming	programming	NOUN
ejpam-4437	192	3	,	,	PUNCT
ejpam-4437	192	4	91(2):201–213	91(2):201–213	PROPN
ejpam-4437	192	5	,	,	PUNCT
ejpam-4437	192	6	jan	jan	PROPN
ejpam-4437	192	7	2002	2002	NUM
ejpam-4437	192	8	.	.	PUNCT
ejpam-4437	193	1	[	[	X
ejpam-4437	193	2	10	10	NUM
ejpam-4437	193	3	]	]	X
ejpam-4437	193	4	r.	r.	PROPN
ejpam-4437	193	5	fletcher	fletcher	PROPN
ejpam-4437	193	6	.	.	PUNCT
ejpam-4437	194	1	function	function	NOUN
ejpam-4437	194	2	minimization	minimization	NOUN
ejpam-4437	194	3	by	by	ADP
ejpam-4437	194	4	conjugate	conjugate	ADJ
ejpam-4437	194	5	gradients	gradient	NOUN
ejpam-4437	194	6	.	.	PUNCT
ejpam-4437	195	1	the	the	DET
ejpam-4437	195	2	computer	computer	NOUN
ejpam-4437	195	3	journal	journal	NOUN
ejpam-4437	195	4	,	,	PUNCT
ejpam-4437	195	5	7(2):149–154	7(2):149–154	NUM
ejpam-4437	195	6	,	,	PUNCT
ejpam-4437	195	7	feb	feb	PROPN
ejpam-4437	195	8	1964	1964	NUM
ejpam-4437	195	9	.	.	PUNCT
ejpam-4437	196	1	[	[	X
ejpam-4437	196	2	11	11	NUM
ejpam-4437	196	3	]	]	PUNCT
ejpam-4437	196	4	roger	roger	PROPN
ejpam-4437	196	5	fletcher	fletcher	PROPN
ejpam-4437	196	6	.	.	PUNCT
ejpam-4437	197	1	practical	practical	ADJ
ejpam-4437	197	2	methods	method	NOUN
ejpam-4437	197	3	of	of	ADP
ejpam-4437	197	4	optimization	optimization	NOUN
ejpam-4437	197	5	,	,	PUNCT
ejpam-4437	197	6	1987	1987	NUM
ejpam-4437	197	7	.	.	PUNCT
ejpam-4437	198	1	1987	1987	NUM
ejpam-4437	198	2	.	.	PUNCT
ejpam-4437	199	1	[	[	X
ejpam-4437	199	2	12	12	NUM
ejpam-4437	199	3	]	]	X
ejpam-4437	199	4	m.r	m.r	PROPN
ejpam-4437	199	5	.	.	PROPN
ejpam-4437	199	6	hestenes	hestene	NOUN
ejpam-4437	199	7	and	and	CCONJ
ejpam-4437	199	8	e.	e.	PROPN
ejpam-4437	199	9	stiefel	stiefel	PROPN
ejpam-4437	199	10	.	.	PUNCT
ejpam-4437	200	1	methods	method	NOUN
ejpam-4437	200	2	of	of	ADP
ejpam-4437	200	3	conjugate	conjugate	ADJ
ejpam-4437	200	4	gradients	gradient	NOUN
ejpam-4437	200	5	for	for	ADP
ejpam-4437	200	6	solving	solve	VERB
ejpam-4437	200	7	linear	linear	NOUN
ejpam-4437	200	8	systems	system	NOUN
ejpam-4437	200	9	.	.	PUNCT
ejpam-4437	201	1	journal	journal	PROPN
ejpam-4437	201	2	of	of	ADP
ejpam-4437	201	3	research	research	NOUN
ejpam-4437	201	4	of	of	ADP
ejpam-4437	201	5	the	the	DET
ejpam-4437	201	6	national	national	PROPN
ejpam-4437	201	7	bureau	bureau	PROPN
ejpam-4437	201	8	of	of	ADP
ejpam-4437	201	9	standards	standard	NOUN
ejpam-4437	201	10	,	,	PUNCT
ejpam-4437	201	11	49(6):409	49(6):409	NUM
ejpam-4437	201	12	,	,	PUNCT
ejpam-4437	201	13	dec	dec	PROPN
ejpam-4437	201	14	1952	1952	NUM
ejpam-4437	201	15	.	.	PUNCT
ejpam-4437	202	1	[	[	X
ejpam-4437	202	2	13	13	NUM
ejpam-4437	202	3	]	]	PUNCT
ejpam-4437	202	4	kamilu	kamilu	PROPN
ejpam-4437	202	5	kamfa	kamfa	PROPN
ejpam-4437	202	6	,	,	PUNCT
ejpam-4437	202	7	sulaiman	sulaiman	PROPN
ejpam-4437	202	8	ibrahim	ibrahim	PROPN
ejpam-4437	202	9	,	,	PUNCT
ejpam-4437	202	10	my	my	PRON
ejpam-4437	202	11	waziri	waziri	NOUN
ejpam-4437	202	12	,	,	PUNCT
ejpam-4437	202	13	and	and	CCONJ
ejpam-4437	202	14	abdelrahman	abdelrahman	NOUN
ejpam-4437	202	15	abashar	abashar	PROPN
ejpam-4437	202	16	.	.	PUNCT
ejpam-4437	203	1	another	another	PRON
ejpam-4437	203	2	improved	improve	VERB
ejpam-4437	203	3	three	three	NUM
ejpam-4437	203	4	term	term	NOUN
ejpam-4437	203	5	prp	prp	NOUN
ejpam-4437	203	6	-	-	PUNCT
ejpam-4437	203	7	cg	cg	NOUN
ejpam-4437	203	8	method	method	NOUN
ejpam-4437	203	9	with	with	ADP
ejpam-4437	203	10	global	global	ADJ
ejpam-4437	203	11	convergent	convergent	NOUN
ejpam-4437	203	12	properties	property	NOUN
ejpam-4437	203	13	for	for	ADP
ejpam-4437	203	14	solving	solve	VERB
ejpam-4437	203	15	unconstrained	unconstrained	ADJ
ejpam-4437	203	16	optimization	optimization	NOUN
ejpam-4437	203	17	problems	problem	NOUN
ejpam-4437	203	18	.	.	PUNCT
ejpam-4437	204	1	malaysian	malaysian	ADJ
ejpam-4437	204	2	journal	journal	PROPN
ejpam-4437	204	3	of	of	ADP
ejpam-4437	204	4	computing	computing	NOUN
ejpam-4437	204	5	and	and	CCONJ
ejpam-4437	204	6	applied	apply	VERB
ejpam-4437	204	7	mathematics	mathematic	NOUN
ejpam-4437	204	8	,	,	PUNCT
ejpam-4437	204	9	1(1):1–10	1(1):1–10	NUM
ejpam-4437	204	10	,	,	PUNCT
ejpam-4437	204	11	2018	2018	NUM
ejpam-4437	204	12	.	.	PUNCT
ejpam-4437	205	1	[	[	X
ejpam-4437	205	2	14	14	NUM
ejpam-4437	205	3	]	]	X
ejpam-4437	205	4	y.	y.	PROPN
ejpam-4437	205	5	liu	liu	PROPN
ejpam-4437	205	6	and	and	CCONJ
ejpam-4437	205	7	c.	c.	PROPN
ejpam-4437	205	8	storey	storey	PROPN
ejpam-4437	205	9	.	.	PUNCT
ejpam-4437	206	1	efficient	efficient	ADJ
ejpam-4437	206	2	generalized	generalize	VERB
ejpam-4437	206	3	conjugate	conjugate	ADJ
ejpam-4437	206	4	gradient	gradient	ADJ
ejpam-4437	206	5	algorithms	algorithm	NOUN
ejpam-4437	206	6	,	,	PUNCT
ejpam-4437	206	7	part	part	NOUN
ejpam-4437	206	8	1	1	NUM
ejpam-4437	206	9	:	:	PUNCT
ejpam-4437	206	10	theory	theory	NOUN
ejpam-4437	206	11	.	.	PUNCT
ejpam-4437	207	1	journal	journal	NOUN
ejpam-4437	207	2	of	of	ADP
ejpam-4437	207	3	optimization	optimization	NOUN
ejpam-4437	207	4	theory	theory	NOUN
ejpam-4437	207	5	and	and	CCONJ
ejpam-4437	207	6	applications	application	NOUN
ejpam-4437	207	7	,	,	PUNCT
ejpam-4437	207	8	69(1):129–137	69(1):129–137	NUM
ejpam-4437	207	9	,	,	PUNCT
ejpam-4437	207	10	apr	apr	NOUN
ejpam-4437	207	11	1991	1991	NUM
ejpam-4437	207	12	.	.	PUNCT
ejpam-4437	208	1	[	[	X
ejpam-4437	208	2	15	15	NUM
ejpam-4437	208	3	]	]	X
ejpam-4437	208	4	e.	e.	PROPN
ejpam-4437	208	5	polak	polak	PROPN
ejpam-4437	208	6	and	and	CCONJ
ejpam-4437	208	7	g.	g.	PROPN
ejpam-4437	208	8	ribiere	ribiere	PROPN
ejpam-4437	208	9	.	.	PUNCT
ejpam-4437	209	1	note	note	VERB
ejpam-4437	209	2	sur	sur	PROPN
ejpam-4437	209	3	la	la	X
ejpam-4437	209	4	convergence	convergence	NOUN
ejpam-4437	209	5	de	de	X
ejpam-4437	209	6	méthodes	méthodes	X
ejpam-4437	209	7	de	de	PROPN
ejpam-4437	209	8	directions	direction	NOUN
ejpam-4437	209	9	conjuguées	conjuguées	PROPN
ejpam-4437	209	10	.	.	PUNCT
ejpam-4437	210	1	revue	revue	PROPN
ejpam-4437	210	2	française	française	PROPN
ejpam-4437	210	3	d'informatique	d'informatique	X
ejpam-4437	210	4	et	et	PROPN
ejpam-4437	210	5	de	de	X
ejpam-4437	210	6	recherche	recherche	X
ejpam-4437	210	7	opérationnelle	opérationnelle	PROPN
ejpam-4437	210	8	.	.	PUNCT
ejpam-4437	211	1	série	série	PROPN
ejpam-4437	211	2	rouge	rouge	PROPN
ejpam-4437	211	3	,	,	PUNCT
ejpam-4437	211	4	3(16):35–43	3(16):35–43	NUM
ejpam-4437	211	5	,	,	PUNCT
ejpam-4437	211	6	1969	1969	NUM
ejpam-4437	211	7	.	.	PUNCT
ejpam-4437	212	1	[	[	X
ejpam-4437	212	2	16	16	NUM
ejpam-4437	212	3	]	]	PUNCT
ejpam-4437	212	4	boris	boris	PROPN
ejpam-4437	212	5	teodorovich	teodorovich	PROPN
ejpam-4437	212	6	polyak	polyak	PROPN
ejpam-4437	212	7	.	.	PUNCT
ejpam-4437	213	1	the	the	DET
ejpam-4437	213	2	conjugate	conjugate	ADJ
ejpam-4437	213	3	gradient	gradient	NOUN
ejpam-4437	213	4	method	method	NOUN
ejpam-4437	213	5	in	in	ADP
ejpam-4437	213	6	extremal	extremal	ADJ
ejpam-4437	213	7	problems	problem	NOUN
ejpam-4437	213	8	.	.	PUNCT
ejpam-4437	214	1	ussr	ussr	ADJ
ejpam-4437	214	2	computational	computational	ADJ
ejpam-4437	214	3	mathematics	mathematic	NOUN
ejpam-4437	214	4	and	and	CCONJ
ejpam-4437	214	5	mathematical	mathematical	ADJ
ejpam-4437	214	6	physics	physics	NOUN
ejpam-4437	214	7	,	,	PUNCT
ejpam-4437	214	8	9(4):94–112	9(4):94–112	NUM
ejpam-4437	214	9	,	,	PUNCT
ejpam-4437	214	10	1969	1969	NUM
ejpam-4437	214	11	.	.	PUNCT
ejpam-4437	215	1	[	[	X
ejpam-4437	215	2	17	17	NUM
ejpam-4437	215	3	]	]	X
ejpam-4437	215	4	philip	philip	PROPN
ejpam-4437	215	5	wolfe	wolfe	PROPN
ejpam-4437	215	6	.	.	PUNCT
ejpam-4437	215	7	convergence	convergence	NOUN
ejpam-4437	215	8	conditions	condition	NOUN
ejpam-4437	215	9	for	for	ADP
ejpam-4437	215	10	ascent	ascent	ADJ
ejpam-4437	215	11	methods	method	NOUN
ejpam-4437	215	12	.	.	PUNCT
ejpam-4437	216	1	siam	siam	PROPN
ejpam-4437	216	2	review	review	PROPN
ejpam-4437	216	3	,	,	PUNCT
ejpam-4437	216	4	11(2):226	11(2):226	NUM
ejpam-4437	216	5	–	–	PUNCT
ejpam-4437	216	6	235	235	NUM
ejpam-4437	216	7	,	,	PUNCT
ejpam-4437	216	8	apr	apr	NOUN
ejpam-4437	216	9	1969	1969	NUM
ejpam-4437	216	10	.	.	PUNCT
ejpam-4437	217	1	[	[	X
ejpam-4437	217	2	18	18	NUM
ejpam-4437	217	3	]	]	X
ejpam-4437	217	4	yanlin	yanlin	PROPN
ejpam-4437	217	5	wu	wu	PROPN
ejpam-4437	217	6	.	.	PUNCT
ejpam-4437	218	1	a	a	DET
ejpam-4437	218	2	modified	modified	ADJ
ejpam-4437	218	3	three	three	NUM
ejpam-4437	218	4	-	-	PUNCT
ejpam-4437	218	5	term	term	NOUN
ejpam-4437	218	6	prp	prp	NOUN
ejpam-4437	218	7	conjugate	conjugate	VERB
ejpam-4437	218	8	gradient	gradient	ADJ
ejpam-4437	218	9	algorithm	algorithm	NOUN
ejpam-4437	218	10	for	for	ADP
ejpam-4437	218	11	optimization	optimization	NOUN
ejpam-4437	218	12	models	model	NOUN
ejpam-4437	218	13	.	.	PUNCT
ejpam-4437	219	1	journal	journal	NOUN
ejpam-4437	219	2	of	of	ADP
ejpam-4437	219	3	inequalities	inequality	NOUN
ejpam-4437	219	4	and	and	CCONJ
ejpam-4437	219	5	applications	application	NOUN
ejpam-4437	219	6	,	,	PUNCT
ejpam-4437	219	7	2017(1):1–14	2017(1):1–14	NOUN
ejpam-4437	219	8	,	,	PUNCT
ejpam-4437	219	9	2017	2017	NUM
ejpam-4437	219	10	.	.	PUNCT
ejpam-4437	220	1	[	[	X
ejpam-4437	220	2	19	19	NUM
ejpam-4437	220	3	]	]	X
ejpam-4437	220	4	hiroshi	hiroshi	PROPN
ejpam-4437	220	5	yabe	yabe	PROPN
ejpam-4437	220	6	and	and	CCONJ
ejpam-4437	220	7	masahiro	masahiro	PROPN
ejpam-4437	220	8	takano	takano	PROPN
ejpam-4437	220	9	.	.	PUNCT
ejpam-4437	221	1	global	global	ADJ
ejpam-4437	221	2	convergence	convergence	NOUN
ejpam-4437	221	3	properties	property	NOUN
ejpam-4437	221	4	of	of	ADP
ejpam-4437	221	5	nonlinear	nonlinear	ADJ
ejpam-4437	221	6	conjugate	conjugate	ADJ
ejpam-4437	221	7	gradient	gradient	ADJ
ejpam-4437	221	8	methods	method	NOUN
ejpam-4437	221	9	with	with	ADP
ejpam-4437	221	10	modified	modified	ADJ
ejpam-4437	221	11	secant	secant	ADJ
ejpam-4437	221	12	condition	condition	NOUN
ejpam-4437	221	13	.	.	PUNCT
ejpam-4437	222	1	computational	computational	ADJ
ejpam-4437	222	2	optimization	optimization	NOUN
ejpam-4437	222	3	and	and	CCONJ
ejpam-4437	222	4	applications	application	NOUN
ejpam-4437	222	5	,	,	PUNCT
ejpam-4437	222	6	28(2):203–225	28(2):203–225	PROPN
ejpam-4437	222	7	,	,	PUNCT
ejpam-4437	222	8	2004	2004	NUM
ejpam-4437	222	9	.	.	PUNCT
ejpam-4437	223	1	references	reference	NOUN
ejpam-4437	223	2	1264	1264	NUM
ejpam-4437	223	3	[	[	X
ejpam-4437	223	4	20	20	NUM
ejpam-4437	223	5	]	]	SYM
ejpam-4437	223	6	jianzhong	jianzhong	PROPN
ejpam-4437	223	7	zhang	zhang	PROPN
ejpam-4437	223	8	and	and	CCONJ
ejpam-4437	223	9	chengxian	chengxian	PROPN
ejpam-4437	223	10	xu	xu	PROPN
ejpam-4437	223	11	.	.	PUNCT
ejpam-4437	224	1	properties	property	NOUN
ejpam-4437	224	2	and	and	CCONJ
ejpam-4437	224	3	numerical	numerical	ADJ
ejpam-4437	224	4	performance	performance	NOUN
ejpam-4437	224	5	of	of	ADP
ejpam-4437	224	6	quasinewton	quasinewton	NOUN
ejpam-4437	224	7	methods	method	NOUN
ejpam-4437	224	8	with	with	ADP
ejpam-4437	224	9	modified	modified	ADJ
ejpam-4437	224	10	quasi	quasi	PROPN
ejpam-4437	224	11	-	-	PROPN
ejpam-4437	224	12	newton	newton	PROPN
ejpam-4437	224	13	equations	equation	NOUN
ejpam-4437	224	14	.	.	PUNCT
ejpam-4437	225	1	journal	journal	PROPN
ejpam-4437	225	2	of	of	ADP
ejpam-4437	225	3	computational	computational	ADJ
ejpam-4437	225	4	and	and	CCONJ
ejpam-4437	225	5	applied	applied	ADJ
ejpam-4437	225	6	mathematics	mathematic	NOUN
ejpam-4437	225	7	,	,	PUNCT
ejpam-4437	225	8	137(2):269–278	137(2):269–278	NUM
ejpam-4437	225	9	,	,	PUNCT
ejpam-4437	225	10	2001	2001	NUM
ejpam-4437	225	11	.	.	PUNCT
ejpam-4437	226	1	[	[	X
ejpam-4437	226	2	21	21	NUM
ejpam-4437	226	3	]	]	X
ejpam-4437	226	4	jz	jz	PROPN
ejpam-4437	226	5	zhang	zhang	PROPN
ejpam-4437	226	6	,	,	PUNCT
ejpam-4437	226	7	ny	ny	PROPN
ejpam-4437	226	8	deng	deng	PROPN
ejpam-4437	226	9	,	,	PUNCT
ejpam-4437	226	10	and	and	CCONJ
ejpam-4437	226	11	lh0991	lh0991	PROPN
ejpam-4437	226	12	chen	chen	PROPN
ejpam-4437	226	13	.	.	PUNCT
ejpam-4437	227	1	new	new	ADJ
ejpam-4437	227	2	quasi	quasi	PROPN
ejpam-4437	227	3	-	-	ADJ
ejpam-4437	227	4	newton	newton	PROPN
ejpam-4437	227	5	equation	equation	NOUN
ejpam-4437	227	6	and	and	CCONJ
ejpam-4437	227	7	related	related	ADJ
ejpam-4437	227	8	methods	method	NOUN
ejpam-4437	227	9	for	for	ADP
ejpam-4437	227	10	unconstrained	unconstrained	ADJ
ejpam-4437	227	11	optimization	optimization	NOUN
ejpam-4437	227	12	.	.	PUNCT
ejpam-4437	228	1	journal	journal	NOUN
ejpam-4437	228	2	of	of	ADP
ejpam-4437	228	3	optimization	optimization	NOUN
ejpam-4437	228	4	theory	theory	NOUN
ejpam-4437	228	5	and	and	CCONJ
ejpam-4437	228	6	applications	application	NOUN
ejpam-4437	228	7	,	,	PUNCT
ejpam-4437	228	8	102(1):147–167	102(1):147–167	NUM
ejpam-4437	228	9	,	,	PUNCT
ejpam-4437	228	10	1999	1999	NUM
ejpam-4437	228	11	.	.	PUNCT
ejpam-4437	229	1	[	[	X
ejpam-4437	229	2	22	22	NUM
ejpam-4437	229	3	]	]	X
ejpam-4437	229	4	li	li	PROPN
ejpam-4437	229	5	zhang	zhang	PROPN
ejpam-4437	229	6	,	,	PUNCT
ejpam-4437	229	7	weijun	weijun	PROPN
ejpam-4437	229	8	zhou	zhou	PROPN
ejpam-4437	229	9	,	,	PUNCT
ejpam-4437	229	10	and	and	CCONJ
ejpam-4437	229	11	dong	dong	PROPN
ejpam-4437	229	12	-	-	PUNCT
ejpam-4437	229	13	hui	hui	PROPN
ejpam-4437	229	14	li	li	PROPN
ejpam-4437	229	15	.	.	PUNCT
ejpam-4437	230	1	a	a	DET
ejpam-4437	230	2	descent	descent	NOUN
ejpam-4437	230	3	modified	modify	VERB
ejpam-4437	230	4	polak	polak	PROPN
ejpam-4437	230	5	–	–	PUNCT
ejpam-4437	230	6	ribière	ribière	NOUN
ejpam-4437	230	7	–	–	PUNCT
ejpam-4437	230	8	polyak	polyak	NOUN
ejpam-4437	230	9	conjugate	conjugate	ADJ
ejpam-4437	230	10	gradient	gradient	NOUN
ejpam-4437	230	11	method	method	NOUN
ejpam-4437	230	12	and	and	CCONJ
ejpam-4437	230	13	its	its	PRON
ejpam-4437	230	14	global	global	ADJ
ejpam-4437	230	15	convergence	convergence	NOUN
ejpam-4437	230	16	.	.	PUNCT
ejpam-4437	231	1	i	i	PRON
ejpam-4437	231	2	m	m	VERB
ejpam-4437	231	3	a	a	DET
ejpam-4437	231	4	journal	journal	NOUN
ejpam-4437	231	5	of	of	ADP
ejpam-4437	231	6	numerical	numerical	ADJ
ejpam-4437	231	7	analysis	analysis	NOUN
ejpam-4437	231	8	,	,	PUNCT
ejpam-4437	231	9	26(4):629–640	26(4):629–640	NOUN
ejpam-4437	231	10	,	,	PUNCT
ejpam-4437	231	11	oct	oct	PROPN
ejpam-4437	231	12	2006	2006	NUM
ejpam-4437	231	13	.	.	PUNCT
ejpam-4437	232	1	[	[	X
ejpam-4437	232	2	23	23	NUM
ejpam-4437	232	3	]	]	X
ejpam-4437	232	4	li	li	PROPN
ejpam-4437	232	5	zhang	zhang	PROPN
ejpam-4437	232	6	,	,	PUNCT
ejpam-4437	232	7	weijun	weijun	PROPN
ejpam-4437	232	8	zhou	zhou	PROPN
ejpam-4437	232	9	,	,	PUNCT
ejpam-4437	232	10	and	and	CCONJ
ejpam-4437	232	11	donghui	donghui	PROPN
ejpam-4437	232	12	li	li	PROPN
ejpam-4437	232	13	.	.	PUNCT
ejpam-4437	233	1	some	some	DET
ejpam-4437	233	2	descent	descent	NOUN
ejpam-4437	233	3	three	three	NUM
ejpam-4437	233	4	-	-	PUNCT
ejpam-4437	233	5	term	term	NOUN
ejpam-4437	233	6	conjugate	conjugate	ADJ
ejpam-4437	233	7	gradient	gradient	NOUN
ejpam-4437	233	8	methods	method	NOUN
ejpam-4437	233	9	and	and	CCONJ
ejpam-4437	233	10	their	their	PRON
ejpam-4437	233	11	global	global	ADJ
ejpam-4437	233	12	convergence	convergence	NOUN
ejpam-4437	233	13	.	.	PUNCT
ejpam-4437	234	1	optimization	optimization	NOUN
ejpam-4437	234	2	methods	method	NOUN
ejpam-4437	234	3	and	and	CCONJ
ejpam-4437	234	4	software	software	NOUN
ejpam-4437	234	5	,	,	PUNCT
ejpam-4437	234	6	22(4):697–711	22(4):697–711	PROPN
ejpam-4437	234	7	,	,	PUNCT
ejpam-4437	234	8	aug	aug	PROPN
ejpam-4437	234	9	2007	2007	NUM
ejpam-4437	234	10	.	.	PUNCT
ejpam-4437	235	1	[	[	X
ejpam-4437	235	2	24	24	NUM
ejpam-4437	235	3	]	]	X
ejpam-4437	235	4	g	g	PROPN
ejpam-4437	235	5	zoutendijk	zoutendijk	PROPN
ejpam-4437	235	6	.	.	PUNCT
ejpam-4437	236	1	nonlinear	nonlinear	ADJ
ejpam-4437	236	2	programming	programming	NOUN
ejpam-4437	236	3	,	,	PUNCT
ejpam-4437	236	4	computational	computational	ADJ
ejpam-4437	236	5	methods	method	NOUN
ejpam-4437	236	6	.	.	PUNCT
ejpam-4437	237	1	integer	integer	NOUN
ejpam-4437	237	2	and	and	CCONJ
ejpam-4437	237	3	nonlinear	nonlinear	ADJ
ejpam-4437	237	4	programming	programming	NOUN
ejpam-4437	237	5	,	,	PUNCT
ejpam-4437	237	6	pages	page	NOUN
ejpam-4437	237	7	37–86	37–86	NUM
ejpam-4437	237	8	,	,	PUNCT
ejpam-4437	237	9	1970	1970	NUM
ejpam-4437	237	10	.	.	PUNCT