id	sid	tid	token	lemma	pos
ejpam-4575	1	1	european	european	PROPN
ejpam-4575	1	2	journal	journal	PROPN
ejpam-4575	1	3	of	of	ADP
ejpam-4575	1	4	pure	pure	ADJ
ejpam-4575	1	5	and	and	CCONJ
ejpam-4575	1	6	applied	apply	VERB
ejpam-4575	1	7	mathematics	mathematic	NOUN
ejpam-4575	1	8	vol	vol	NOUN
ejpam-4575	1	9	.	.	PROPN
ejpam-4575	2	1	15	15	NUM
ejpam-4575	2	2	,	,	PUNCT
ejpam-4575	2	3	no	no	INTJ
ejpam-4575	2	4	.	.	NOUN
ejpam-4575	2	5	4	4	NUM
ejpam-4575	2	6	,	,	PUNCT
ejpam-4575	2	7	2022	2022	NUM
ejpam-4575	2	8	,	,	PUNCT
ejpam-4575	2	9	1908	1908	NUM
ejpam-4575	2	10	-	-	SYM
ejpam-4575	2	11	1916	1916	NUM
ejpam-4575	2	12	issn	issn	PROPN
ejpam-4575	2	13	1307	1307	NUM
ejpam-4575	2	14	-	-	SYM
ejpam-4575	2	15	5543	5543	NUM
ejpam-4575	2	16	–	–	PUNCT
ejpam-4575	3	1	ejpam.com	ejpam.com	X
ejpam-4575	3	2	published	publish	VERB
ejpam-4575	3	3	by	by	ADP
ejpam-4575	3	4	new	new	PROPN
ejpam-4575	3	5	york	york	PROPN
ejpam-4575	3	6	business	business	PROPN
ejpam-4575	3	7	global	global	PROPN
ejpam-4575	3	8	a	a	DET
ejpam-4575	3	9	new	new	ADJ
ejpam-4575	3	10	class	class	NOUN
ejpam-4575	3	11	of	of	ADP
ejpam-4575	3	12	optimization	optimization	NOUN
ejpam-4575	3	13	methods	method	NOUN
ejpam-4575	3	14	based	base	VERB
ejpam-4575	3	15	on	on	ADP
ejpam-4575	3	16	coefficient	coefficient	NOUN
ejpam-4575	3	17	conjugate	conjugate	ADJ
ejpam-4575	3	18	gradient	gradient	NOUN
ejpam-4575	3	19	yoksal	yoksal	PROPN
ejpam-4575	3	20	a.	a.	NOUN
ejpam-4575	3	21	laylani1	laylani1	PROPN
ejpam-4575	3	22	,	,	PUNCT
ejpam-4575	3	23	basim	basim	PROPN
ejpam-4575	3	24	a.	a.	PROPN
ejpam-4575	3	25	hassan2,∗	hassan2,∗	PROPN
ejpam-4575	3	26	,	,	PUNCT
ejpam-4575	3	27	hisham	hisham	PROPN
ejpam-4575	3	28	m.	m.	PROPN
ejpam-4575	3	29	khudhur2	khudhur2	PROPN
ejpam-4575	4	1	1	1	NUM
ejpam-4575	4	2	department	department	NOUN
ejpam-4575	4	3	of	of	ADP
ejpam-4575	4	4	mathematics	mathematic	NOUN
ejpam-4575	4	5	,	,	PUNCT
ejpam-4575	4	6	college	college	NOUN
ejpam-4575	4	7	of	of	ADP
ejpam-4575	4	8	sciences	science	NOUN
ejpam-4575	4	9	,	,	PUNCT
ejpam-4575	4	10	university	university	NOUN
ejpam-4575	4	11	of	of	ADP
ejpam-4575	4	12	kirkuk	kirkuk	PROPN
ejpam-4575	4	13	,	,	PUNCT
ejpam-4575	4	14	kirkuk	kirkuk	PROPN
ejpam-4575	4	15	,	,	PUNCT
ejpam-4575	4	16	iraq	iraq	PROPN
ejpam-4575	4	17	2	2	NUM
ejpam-4575	4	18	department	department	NOUN
ejpam-4575	4	19	of	of	ADP
ejpam-4575	4	20	mathematics	mathematic	NOUN
ejpam-4575	4	21	,	,	PUNCT
ejpam-4575	4	22	college	college	NOUN
ejpam-4575	4	23	of	of	ADP
ejpam-4575	4	24	computers	computer	NOUN
ejpam-4575	4	25	sciences	sciences	PROPN
ejpam-4575	4	26	and	and	CCONJ
ejpam-4575	4	27	mathematics	mathematic	NOUN
ejpam-4575	4	28	,	,	PUNCT
ejpam-4575	4	29	university	university	NOUN
ejpam-4575	4	30	of	of	ADP
ejpam-4575	4	31	mosul	mosul	PROPN
ejpam-4575	4	32	,	,	PUNCT
ejpam-4575	4	33	mosul	mosul	PROPN
ejpam-4575	4	34	,	,	PUNCT
ejpam-4575	4	35	iraq	iraq	PROPN
ejpam-4575	4	36	abstract	abstract	NOUN
ejpam-4575	4	37	.	.	PUNCT
ejpam-4575	5	1	the	the	DET
ejpam-4575	5	2	coefficient	coefficient	NOUN
ejpam-4575	5	3	conjugate	conjugate	NOUN
ejpam-4575	5	4	serves	serve	VERB
ejpam-4575	5	5	as	as	ADP
ejpam-4575	5	6	the	the	DET
ejpam-4575	5	7	foundation	foundation	NOUN
ejpam-4575	5	8	for	for	ADP
ejpam-4575	5	9	many	many	ADJ
ejpam-4575	5	10	conjugate	conjugate	ADJ
ejpam-4575	5	11	gradient	gradient	ADJ
ejpam-4575	5	12	methods	method	NOUN
ejpam-4575	5	13	.	.	PUNCT
ejpam-4575	6	1	the	the	DET
ejpam-4575	6	2	quadratic	quadratic	ADJ
ejpam-4575	6	3	model	model	NOUN
ejpam-4575	6	4	is	be	AUX
ejpam-4575	6	5	used	use	VERB
ejpam-4575	6	6	to	to	PART
ejpam-4575	6	7	derive	derive	VERB
ejpam-4575	6	8	a	a	DET
ejpam-4575	6	9	novel	novel	ADJ
ejpam-4575	6	10	coefficient	coefficient	NOUN
ejpam-4575	6	11	conjugate	conjugate	ADJ
ejpam-4575	6	12	in	in	ADP
ejpam-4575	6	13	this	this	DET
ejpam-4575	6	14	study	study	NOUN
ejpam-4575	6	15	.	.	PUNCT
ejpam-4575	7	1	its	its	PRON
ejpam-4575	7	2	global	global	ADJ
ejpam-4575	7	3	convergence	convergence	NOUN
ejpam-4575	7	4	result	result	NOUN
ejpam-4575	7	5	might	might	AUX
ejpam-4575	7	6	be	be	AUX
ejpam-4575	7	7	produced	produce	VERB
ejpam-4575	7	8	under	under	ADP
ejpam-4575	7	9	wolfe	wolfe	PROPN
ejpam-4575	7	10	line	line	NOUN
ejpam-4575	7	11	search	search	NOUN
ejpam-4575	7	12	circumstances	circumstance	NOUN
ejpam-4575	7	13	.	.	PUNCT
ejpam-4575	8	1	the	the	DET
ejpam-4575	8	2	conjugate	conjugate	ADJ
ejpam-4575	8	3	gradient	gradient	NOUN
ejpam-4575	8	4	method	method	NOUN
ejpam-4575	8	5	’s	’s	PART
ejpam-4575	8	6	performance	performance	NOUN
ejpam-4575	8	7	for	for	ADP
ejpam-4575	8	8	unconstrained	unconstrained	ADJ
ejpam-4575	8	9	optimization	optimization	NOUN
ejpam-4575	8	10	problems	problem	NOUN
ejpam-4575	8	11	is	be	AUX
ejpam-4575	8	12	demonstrated	demonstrate	VERB
ejpam-4575	8	13	through	through	ADP
ejpam-4575	8	14	numerical	numerical	ADJ
ejpam-4575	8	15	tests	test	NOUN
ejpam-4575	8	16	.	.	PUNCT
ejpam-4575	9	1	2020	2020	NUM
ejpam-4575	9	2	mathematics	mathematic	NOUN
ejpam-4575	9	3	subject	subject	NOUN
ejpam-4575	9	4	classifications	classification	NOUN
ejpam-4575	9	5	:	:	PUNCT
ejpam-4575	9	6	90c30	90c30	NUM
ejpam-4575	9	7	,	,	PUNCT
ejpam-4575	9	8	65k05	65k05	NUM
ejpam-4575	9	9	,	,	PUNCT
ejpam-4575	9	10	49m37	49m37	NUM
ejpam-4575	9	11	key	key	ADJ
ejpam-4575	9	12	words	word	NOUN
ejpam-4575	9	13	and	and	CCONJ
ejpam-4575	9	14	phrases	phrase	NOUN
ejpam-4575	9	15	:	:	PUNCT
ejpam-4575	9	16	optimization	optimization	NOUN
ejpam-4575	9	17	,	,	PUNCT
ejpam-4575	9	18	conjugate	conjugate	ADJ
ejpam-4575	9	19	gradient	gradient	NOUN
ejpam-4575	9	20	,	,	PUNCT
ejpam-4575	9	21	numerical	numerical	ADJ
ejpam-4575	9	22	results	result	NOUN
ejpam-4575	9	23	1	1	NUM
ejpam-4575	9	24	.	.	PUNCT
ejpam-4575	9	25	introduction	introduction	NOUN
ejpam-4575	9	26	one	one	NUM
ejpam-4575	9	27	of	of	ADP
ejpam-4575	9	28	the	the	DET
ejpam-4575	9	29	most	most	ADV
ejpam-4575	9	30	important	important	ADJ
ejpam-4575	9	31	iterative	iterative	NOUN
ejpam-4575	9	32	approaches	approach	NOUN
ejpam-4575	9	33	for	for	ADP
ejpam-4575	9	34	solving	solve	VERB
ejpam-4575	9	35	the	the	DET
ejpam-4575	9	36	unconstrained	unconstrained	ADJ
ejpam-4575	9	37	optimization	optimization	NOUN
ejpam-4575	9	38	issue	issue	NOUN
ejpam-4575	9	39	is	be	AUX
ejpam-4575	9	40	the	the	DET
ejpam-4575	9	41	conjugate	conjugate	ADJ
ejpam-4575	9	42	gradient	gradient	NOUN
ejpam-4575	9	43	(	(	PUNCT
ejpam-4575	9	44	cg	cg	NOUN
ejpam-4575	9	45	)	)	PUNCT
ejpam-4575	9	46	method	method	NOUN
ejpam-4575	9	47	,	,	PUNCT
ejpam-4575	9	48	which	which	PRON
ejpam-4575	9	49	is	be	AUX
ejpam-4575	9	50	as	as	SCONJ
ejpam-4575	9	51	follows	follow	VERB
ejpam-4575	9	52	:	:	PUNCT
ejpam-4575	9	53	f(x∗	f(x∗	NUM
ejpam-4575	9	54	)	)	PUNCT
ejpam-4575	9	55	=	=	SYM
ejpam-4575	9	56	min	min	PROPN
ejpam-4575	9	57	x∈rn	x∈rn	PROPN
ejpam-4575	9	58	f(x	f(x	PROPN
ejpam-4575	9	59	)	)	PUNCT
ejpam-4575	9	60	.	.	PUNCT
ejpam-4575	10	1	(	(	PUNCT
ejpam-4575	10	2	1	1	X
ejpam-4575	10	3	)	)	PUNCT
ejpam-4575	10	4	where	where	SCONJ
ejpam-4575	10	5	f	f	PROPN
ejpam-4575	10	6	:	:	PUNCT
ejpam-4575	10	7	rn	rn	PROPN
ejpam-4575	10	8	→	→	SYM
ejpam-4575	10	9	r	r	NOUN
ejpam-4575	10	10	is	be	AUX
ejpam-4575	10	11	a	a	DET
ejpam-4575	10	12	smooth	smooth	ADJ
ejpam-4575	10	13	function	function	NOUN
ejpam-4575	10	14	,	,	PUNCT
ejpam-4575	10	15	see	see	VERB
ejpam-4575	10	16	[	[	X
ejpam-4575	10	17	7	7	NUM
ejpam-4575	10	18	,	,	PUNCT
ejpam-4575	10	19	11	11	NUM
ejpam-4575	10	20	,	,	PUNCT
ejpam-4575	10	21	12	12	NUM
ejpam-4575	10	22	]	]	PUNCT
ejpam-4575	10	23	.	.	PUNCT
ejpam-4575	11	1	the	the	DET
ejpam-4575	11	2	goal	goal	NOUN
ejpam-4575	11	3	function	function	NOUN
ejpam-4575	11	4	and	and	CCONJ
ejpam-4575	11	5	its	its	PRON
ejpam-4575	11	6	gradient	gradient	NOUN
ejpam-4575	11	7	are	be	AUX
ejpam-4575	11	8	all	all	PRON
ejpam-4575	11	9	that	that	PRON
ejpam-4575	11	10	is	be	AUX
ejpam-4575	11	11	required	require	VERB
ejpam-4575	11	12	of	of	ADP
ejpam-4575	11	13	the	the	DET
ejpam-4575	11	14	cg	cg	NOUN
ejpam-4575	11	15	techniques	technique	NOUN
ejpam-4575	11	16	in	in	ADP
ejpam-4575	11	17	each	each	DET
ejpam-4575	11	18	iteration	iteration	NOUN
ejpam-4575	11	19	,	,	PUNCT
ejpam-4575	11	20	see	see	VERB
ejpam-4575	11	21	[	[	X
ejpam-4575	11	22	13	13	NUM
ejpam-4575	11	23	]	]	PUNCT
ejpam-4575	11	24	.	.	PUNCT
ejpam-4575	12	1	as	as	ADP
ejpam-4575	12	2	a	a	DET
ejpam-4575	12	3	result	result	NOUN
ejpam-4575	12	4	,	,	PUNCT
ejpam-4575	12	5	this	this	DET
ejpam-4575	12	6	strategy	strategy	NOUN
ejpam-4575	12	7	is	be	AUX
ejpam-4575	12	8	particularly	particularly	ADV
ejpam-4575	12	9	well	well	ADV
ejpam-4575	12	10	suited	suited	ADJ
ejpam-4575	12	11	to	to	ADP
ejpam-4575	12	12	solving	solve	VERB
ejpam-4575	12	13	optimization	optimization	NOUN
ejpam-4575	12	14	problems	problem	NOUN
ejpam-4575	12	15	.	.	PUNCT
ejpam-4575	13	1	these	these	DET
ejpam-4575	13	2	approaches	approach	NOUN
ejpam-4575	13	3	use	use	VERB
ejpam-4575	13	4	the	the	DET
ejpam-4575	13	5	following	following	ADJ
ejpam-4575	13	6	iterative	iterative	NOUN
ejpam-4575	13	7	formula	formula	NOUN
ejpam-4575	13	8	:	:	PUNCT
ejpam-4575	13	9	xk+1	xk+1	PROPN
ejpam-4575	13	10	=	=	SYM
ejpam-4575	13	11	xk	xk	PROPN
ejpam-4575	13	12	+	+	CCONJ
ejpam-4575	13	13	αkdk	αkdk	NOUN
ejpam-4575	13	14	.	.	PUNCT
ejpam-4575	14	1	(	(	PUNCT
ejpam-4575	14	2	2	2	X
ejpam-4575	14	3	)	)	PUNCT
ejpam-4575	14	4	if	if	SCONJ
ejpam-4575	14	5	f	f	PROPN
ejpam-4575	14	6	is	be	AUX
ejpam-4575	14	7	a	a	DET
ejpam-4575	14	8	quadratic	quadratic	NOUN
ejpam-4575	14	9	,	,	PUNCT
ejpam-4575	14	10	the	the	DET
ejpam-4575	14	11	one	one	NUM
ejpam-4575	14	12	-	-	PUNCT
ejpam-4575	14	13	dimensional	dimensional	ADJ
ejpam-4575	14	14	minimizer	minimizer	NOUN
ejpam-4575	14	15	along	along	ADP
ejpam-4575	14	16	the	the	DET
ejpam-4575	14	17	ray	ray	NOUN
ejpam-4575	14	18	may	may	AUX
ejpam-4575	14	19	be	be	AUX
ejpam-4575	14	20	calculated	calculate	VERB
ejpam-4575	14	21	analytically	analytically	ADV
ejpam-4575	14	22	as	as	ADP
ejpam-4575	14	23	:	:	PUNCT
ejpam-4575	14	24	αk	αk	NOUN
ejpam-4575	14	25	=	=	SYM
ejpam-4575	14	26	−	−	PROPN
ejpam-4575	14	27	gtk	gtk	NOUN
ejpam-4575	14	28	dk	dk	PROPN
ejpam-4575	14	29	dtkqdk	dtkqdk	NOUN
ejpam-4575	14	30	(	(	PUNCT
ejpam-4575	14	31	3	3	X
ejpam-4575	14	32	)	)	PUNCT
ejpam-4575	14	33	∗corresponding	∗corresponde	VERB
ejpam-4575	14	34	author	author	NOUN
ejpam-4575	14	35	.	.	PUNCT
ejpam-4575	15	1	doi	doi	NOUN
ejpam-4575	15	2	:	:	PUNCT
ejpam-4575	15	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4575	https://doi.org/10.29020/nybg.ejpam.v15i4.4575	ADJ
ejpam-4575	15	4	email	email	NOUN
ejpam-4575	15	5	addresses	address	NOUN
ejpam-4575	15	6	:	:	PUNCT
ejpam-4575	15	7	yuksel@uokirkuk.edu.iq	yuksel@uokirkuk.edu.iq	NOUN
ejpam-4575	15	8	(	(	PUNCT
ejpam-4575	15	9	y.	y.	NOUN
ejpam-4575	15	10	a.	a.	NOUN
ejpam-4575	15	11	laylani	laylani	PROPN
ejpam-4575	15	12	)	)	PUNCT
ejpam-4575	15	13	,	,	PUNCT
ejpam-4575	15	14	basimah@uomosul.edu.iq	basimah@uomosul.edu.iq	PROPN
ejpam-4575	15	15	(	(	PUNCT
ejpam-4575	15	16	b.	b.	PROPN
ejpam-4575	15	17	a.	a.	PROPN
ejpam-4575	15	18	hassan	hassan	PROPN
ejpam-4575	15	19	)	)	PUNCT
ejpam-4575	15	20	,	,	PUNCT
ejpam-4575	15	21	hisham892020@uomosul.edu.iq	hisham892020@uomosul.edu.iq	NOUN
ejpam-4575	15	22	(	(	PUNCT
ejpam-4575	15	23	h.	h.	PROPN
ejpam-4575	15	24	m.	m.	PROPN
ejpam-4575	15	25	khudhur	khudhur	PROPN
ejpam-4575	15	26	)	)	PUNCT
ejpam-4575	15	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4575	15	28	1908	1908	NUM
ejpam-4575	16	1	©	©	ADP
ejpam-4575	16	2	2022	2022	NUM
ejpam-4575	16	3	ejpam	ejpam	VERB
ejpam-4575	16	4	all	all	DET
ejpam-4575	16	5	rights	right	NOUN
ejpam-4575	16	6	reserved	reserve	VERB
ejpam-4575	16	7	.	.	PUNCT
ejpam-4575	17	1	y.	y.	NOUN
ejpam-4575	17	2	a.	a.	NOUN
ejpam-4575	17	3	laylani	laylani	PROPN
ejpam-4575	17	4	,	,	PUNCT
ejpam-4575	17	5	b.	b.	PROPN
ejpam-4575	17	6	a.	a.	PROPN
ejpam-4575	17	7	hassan	hassan	PROPN
ejpam-4575	17	8	,	,	PUNCT
ejpam-4575	17	9	h.	h.	PROPN
ejpam-4575	17	10	m.	m.	PROPN
ejpam-4575	17	11	khudhur	khudhur	PROPN
ejpam-4575	17	12	/	/	SYM
ejpam-4575	17	13	eur	eur	PROPN
ejpam-4575	17	14	.	.	PUNCT
ejpam-4575	18	1	j.	j.	PROPN
ejpam-4575	18	2	pure	pure	PROPN
ejpam-4575	18	3	appl	appl	PROPN
ejpam-4575	18	4	.	.	PROPN
ejpam-4575	18	5	math	math	PROPN
ejpam-4575	18	6	,	,	PUNCT
ejpam-4575	18	7	15	15	NUM
ejpam-4575	18	8	(	(	PUNCT
ejpam-4575	18	9	4	4	NUM
ejpam-4575	18	10	)	)	PUNCT
ejpam-4575	18	11	(	(	PUNCT
ejpam-4575	18	12	2022	2022	NUM
ejpam-4575	18	13	)	)	PUNCT
ejpam-4575	18	14	,	,	PUNCT
ejpam-4575	18	15	1908	1908	NUM
ejpam-4575	18	16	-	-	SYM
ejpam-4575	18	17	1916	1916	NUM
ejpam-4575	18	18	1909	1909	NUM
ejpam-4575	18	19	iterative	iterative	NOUN
ejpam-4575	18	20	procedures	procedure	NOUN
ejpam-4575	18	21	are	be	AUX
ejpam-4575	18	22	required	require	VERB
ejpam-4575	18	23	for	for	ADP
ejpam-4575	18	24	generic	generic	ADJ
ejpam-4575	18	25	non	non	ADJ
ejpam-4575	18	26	-	-	ADJ
ejpam-4575	18	27	linear	linear	ADJ
ejpam-4575	18	28	functions	function	NOUN
ejpam-4575	18	29	,	,	PUNCT
ejpam-4575	18	30	in	in	ADP
ejpam-4575	18	31	[	[	NOUN
ejpam-4575	18	32	9	9	NUM
ejpam-4575	18	33	]	]	PUNCT
ejpam-4575	18	34	has	have	VERB
ejpam-4575	18	35	further	further	ADJ
ejpam-4575	18	36	information	information	NOUN
ejpam-4575	18	37	about	about	ADP
ejpam-4575	18	38	this	this	PRON
ejpam-4575	18	39	.	.	PUNCT
ejpam-4575	19	1	the	the	DET
ejpam-4575	19	2	wolfe	wolfe	PROPN
ejpam-4575	19	3	requirements	requirement	NOUN
ejpam-4575	19	4	are	be	AUX
ejpam-4575	19	5	frequently	frequently	ADV
ejpam-4575	19	6	employed	employ	VERB
ejpam-4575	19	7	in	in	ADP
ejpam-4575	19	8	the	the	DET
ejpam-4575	19	9	convergence	convergence	NOUN
ejpam-4575	19	10	analysis	analysis	NOUN
ejpam-4575	19	11	and	and	CCONJ
ejpam-4575	19	12	implementation	implementation	NOUN
ejpam-4575	19	13	of	of	ADP
ejpam-4575	19	14	conjugate	conjugate	ADJ
ejpam-4575	19	15	gradient	gradient	NOUN
ejpam-4575	19	16	techniques	technique	NOUN
ejpam-4575	19	17	to	to	PART
ejpam-4575	19	18	obtain	obtain	VERB
ejpam-4575	19	19	the	the	DET
ejpam-4575	19	20	step	step	NOUN
ejpam-4575	19	21	length	length	NOUN
ejpam-4575	19	22	αk	αk	X
ejpam-4575	19	23	satisfying	satisfying	NOUN
ejpam-4575	19	24	:	:	PUNCT
ejpam-4575	19	25	f(xk	f(xk	PROPN
ejpam-4575	19	26	+	+	NUM
ejpam-4575	19	27	αkdk	αkdk	NOUN
ejpam-4575	19	28	)	)	PUNCT
ejpam-4575	19	29	≤	≤	NUM
ejpam-4575	19	30	f(xk	f(xk	PROPN
ejpam-4575	19	31	)	)	PUNCT
ejpam-4575	19	32	+	+	CCONJ
ejpam-4575	19	33	δαkg	δαkg	NOUN
ejpam-4575	19	34	t	t	PROPN
ejpam-4575	19	35	k	k	PROPN
ejpam-4575	19	36	dk	dk	PROPN
ejpam-4575	19	37	(	(	PUNCT
ejpam-4575	19	38	4	4	NUM
ejpam-4575	19	39	)	)	PUNCT
ejpam-4575	19	40	dtk	dtk	PROPN
ejpam-4575	19	41	g(xk	g(xk	PROPN
ejpam-4575	19	42	+	+	CCONJ
ejpam-4575	19	43	αkdk	αkdk	NOUN
ejpam-4575	19	44	)	)	PUNCT
ejpam-4575	19	45	≥	≥	NOUN
ejpam-4575	19	46	σdtk	σdtk	PROPN
ejpam-4575	19	47	gk	gk	PROPN
ejpam-4575	19	48	(	(	PUNCT
ejpam-4575	19	49	5	5	NUM
ejpam-4575	19	50	)	)	PUNCT
ejpam-4575	19	51	where	where	SCONJ
ejpam-4575	19	52	0	0	NUM
ejpam-4575	19	53	<	<	X
ejpam-4575	19	54	δ	δ	X
ejpam-4575	19	55	<	<	X
ejpam-4575	19	56	σ	σ	X
ejpam-4575	19	57	<	<	X
ejpam-4575	19	58	1	1	NUM
ejpam-4575	19	59	.	.	PUNCT
ejpam-4575	20	1	more	more	ADJ
ejpam-4575	20	2	information	information	NOUN
ejpam-4575	20	3	is	be	AUX
ejpam-4575	20	4	available	available	ADJ
ejpam-4575	20	5	in	in	ADP
ejpam-4575	20	6	[	[	X
ejpam-4575	20	7	8	8	NUM
ejpam-4575	20	8	,	,	PUNCT
ejpam-4575	20	9	15	15	NUM
ejpam-4575	20	10	]	]	PUNCT
ejpam-4575	20	11	.	.	PUNCT
ejpam-4575	21	1	in	in	ADP
ejpam-4575	21	2	practice	practice	NOUN
ejpam-4575	21	3	,	,	PUNCT
ejpam-4575	21	4	the	the	DET
ejpam-4575	21	5	conjugate	conjugate	ADJ
ejpam-4575	21	6	gradient	gradient	NOUN
ejpam-4575	21	7	search	search	NOUN
ejpam-4575	21	8	direction	direction	NOUN
ejpam-4575	21	9	for	for	ADP
ejpam-4575	21	10	the	the	DET
ejpam-4575	21	11	next	next	ADJ
ejpam-4575	21	12	iteration	iteration	NOUN
ejpam-4575	21	13	looks	look	VERB
ejpam-4575	21	14	like	like	ADP
ejpam-4575	21	15	this	this	PRON
ejpam-4575	21	16	:	:	PUNCT
ejpam-4575	21	17	dk+1	dk+1	NOUN
ejpam-4575	21	18	=	=	SYM
ejpam-4575	21	19	−gk+1	−gk+1	PROPN
ejpam-4575	21	20	+	+	CCONJ
ejpam-4575	21	21	βkdk	βkdk	NOUN
ejpam-4575	21	22	(	(	PUNCT
ejpam-4575	21	23	6	6	NUM
ejpam-4575	21	24	)	)	PUNCT
ejpam-4575	21	25	where	where	SCONJ
ejpam-4575	21	26	βk	βk	NOUN
ejpam-4575	21	27	is	be	AUX
ejpam-4575	21	28	a	a	DET
ejpam-4575	21	29	scalar	scalar	NOUN
ejpam-4575	21	30	.	.	PUNCT
ejpam-4575	22	1	there	there	PRON
ejpam-4575	22	2	are	be	VERB
ejpam-4575	22	3	two	two	NUM
ejpam-4575	22	4	well	well	ADV
ejpam-4575	22	5	-	-	PUNCT
ejpam-4575	22	6	known	know	VERB
ejpam-4575	22	7	methods	method	NOUN
ejpam-4575	22	8	for	for	ADP
ejpam-4575	22	9	selecting	select	VERB
ejpam-4575	22	10	βk	βk	NOUN
ejpam-4575	22	11	:	:	PUNCT
ejpam-4575	22	12	βfr	βfr	PROPN
ejpam-4575	22	13	k	k	X
ejpam-4575	22	14	=	=	PUNCT
ejpam-4575	22	15	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-4575	22	16	∥gk∥2	∥gk∥2	PROPN
ejpam-4575	22	17	,	,	PUNCT
ejpam-4575	22	18	βdy	βdy	VERB
ejpam-4575	22	19	k+1	k+1	X
ejpam-4575	22	20	=	=	PUNCT
ejpam-4575	22	21	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-4575	22	22	dtk	dtk	PROPN
ejpam-4575	22	23	yk	yk	PROPN
ejpam-4575	22	24	(	(	PUNCT
ejpam-4575	22	25	7	7	NUM
ejpam-4575	22	26	)	)	PUNCT
ejpam-4575	22	27	separately	separately	ADV
ejpam-4575	22	28	by	by	ADP
ejpam-4575	22	29	the	the	DET
ejpam-4575	22	30	fletcher	fletcher	PROPN
ejpam-4575	22	31	-	-	PUNCT
ejpam-4575	22	32	reeves	reeves	PROPN
ejpam-4575	22	33	(	(	PUNCT
ejpam-4575	22	34	fr	fr	NOUN
ejpam-4575	22	35	)	)	PUNCT
ejpam-4575	22	36	approach	approach	NOUN
ejpam-4575	22	37	[	[	X
ejpam-4575	22	38	2	2	X
ejpam-4575	22	39	]	]	PUNCT
ejpam-4575	22	40	and	and	CCONJ
ejpam-4575	22	41	the	the	DET
ejpam-4575	22	42	dai	dai	PROPN
ejpam-4575	22	43	-	-	PUNCT
ejpam-4575	22	44	yan	yan	PROPN
ejpam-4575	22	45	(	(	PUNCT
ejpam-4575	22	46	dy	dy	NOUN
ejpam-4575	22	47	)	)	PUNCT
ejpam-4575	22	48	method	method	NOUN
ejpam-4575	22	49	[	[	X
ejpam-4575	22	50	1	1	NUM
ejpam-4575	22	51	]	]	PUNCT
ejpam-4575	22	52	.	.	PUNCT
ejpam-4575	23	1	it	it	PRON
ejpam-4575	23	2	approaches	approach	VERB
ejpam-4575	23	3	have	have	VERB
ejpam-4575	23	4	good	good	ADJ
ejpam-4575	23	5	convergence	convergence	NOUN
ejpam-4575	23	6	properties	property	NOUN
ejpam-4575	23	7	,	,	PUNCT
ejpam-4575	23	8	but	but	CCONJ
ejpam-4575	23	9	their	their	PRON
ejpam-4575	23	10	numerical	numerical	ADJ
ejpam-4575	23	11	results	result	NOUN
ejpam-4575	23	12	are	be	AUX
ejpam-4575	23	13	n’t	not	PART
ejpam-4575	23	14	as	as	ADV
ejpam-4575	23	15	good	good	ADJ
ejpam-4575	23	16	as	as	ADP
ejpam-4575	23	17	the	the	DET
ejpam-4575	23	18	others	other	NOUN
ejpam-4575	24	1	[	[	X
ejpam-4575	24	2	9	9	NUM
ejpam-4575	24	3	]	]	PUNCT
ejpam-4575	24	4	.	.	PUNCT
ejpam-4575	25	1	many	many	ADJ
ejpam-4575	25	2	variations	variation	NOUN
ejpam-4575	25	3	of	of	ADP
ejpam-4575	25	4	this	this	DET
ejpam-4575	25	5	method	method	NOUN
ejpam-4575	25	6	have	have	AUX
ejpam-4575	25	7	been	be	AUX
ejpam-4575	25	8	developed	develop	VERB
ejpam-4575	25	9	throughout	throughout	ADP
ejpam-4575	25	10	the	the	DET
ejpam-4575	25	11	years	year	NOUN
ejpam-4575	25	12	,	,	PUNCT
ejpam-4575	25	13	and	and	CCONJ
ejpam-4575	25	14	some	some	PRON
ejpam-4575	25	15	are	be	AUX
ejpam-4575	25	16	extensively	extensively	ADV
ejpam-4575	25	17	utilized	utilize	VERB
ejpam-4575	25	18	in	in	ADP
ejpam-4575	25	19	practice	practice	NOUN
ejpam-4575	25	20	.	.	PUNCT
ejpam-4575	26	1	take	take	VERB
ejpam-4575	26	2	,	,	PUNCT
ejpam-4575	26	3	for	for	ADP
ejpam-4575	26	4	example	example	NOUN
ejpam-4575	26	5	,	,	PUNCT
ejpam-4575	26	6	hideaki	hideaki	NOUN
ejpam-4575	26	7	and	and	CCONJ
ejpam-4575	26	8	yasushi	yasushi	PROPN
ejpam-4575	27	1	[	[	X
ejpam-4575	27	2	14	14	NUM
ejpam-4575	27	3	]	]	PUNCT
ejpam-4575	27	4	and	and	CCONJ
ejpam-4575	27	5	basim	basim	NOUN
ejpam-4575	28	1	[	[	X
ejpam-4575	28	2	3	3	NUM
ejpam-4575	28	3	]	]	PUNCT
ejpam-4575	28	4	:	:	PUNCT
ejpam-4575	28	5	βhy	βhy	PROPN
ejpam-4575	29	1	k	k	PROPN
ejpam-4575	29	2	=	=	PUNCT
ejpam-4575	29	3	∥gk+1∥2	∥gk+1∥2	ADJ
ejpam-4575	29	4	2	2	NUM
ejpam-4575	29	5	/	/	SYM
ejpam-4575	29	6	αk(fk	αk(fk	NOUN
ejpam-4575	29	7	−	−	NUM
ejpam-4575	29	8	fk+1	fk+1	X
ejpam-4575	29	9	)	)	PUNCT
ejpam-4575	29	10	,	,	PUNCT
ejpam-4575	29	11	βb	βb	PROPN
ejpam-4575	29	12	k	k	NOUN
ejpam-4575	29	13	=	=	PUNCT
ejpam-4575	29	14	∥gk+1∥2	∥gk+1∥2	PROPN
ejpam-4575	29	15	(	(	PUNCT
ejpam-4575	29	16	fk	fk	INTJ
ejpam-4575	29	17	−	−	PROPN
ejpam-4575	29	18	fk+1)/αk	fk+1)/αk	PROPN
ejpam-4575	30	1	−	−	PROPN
ejpam-4575	30	2	gtk	gtk	NOUN
ejpam-4575	30	3	dk/2	dk/2	NOUN
ejpam-4575	30	4	(	(	PUNCT
ejpam-4575	30	5	8)	8)	NUM
ejpam-4575	30	6	these	these	DET
ejpam-4575	30	7	algorithms	algorithm	NOUN
ejpam-4575	30	8	have	have	VERB
ejpam-4575	30	9	a	a	DET
ejpam-4575	30	10	very	very	ADV
ejpam-4575	30	11	high	high	ADJ
ejpam-4575	30	12	numerical	numerical	ADJ
ejpam-4575	30	13	efficiency	efficiency	NOUN
ejpam-4575	30	14	.	.	PUNCT
ejpam-4575	31	1	the	the	DET
ejpam-4575	31	2	quadratic	quadratic	ADJ
ejpam-4575	31	3	model	model	NOUN
ejpam-4575	31	4	has	have	AUX
ejpam-4575	31	5	been	be	AUX
ejpam-4575	31	6	established	establish	VERB
ejpam-4575	31	7	to	to	PART
ejpam-4575	31	8	improve	improve	VERB
ejpam-4575	31	9	efficiency	efficiency	NOUN
ejpam-4575	31	10	for	for	ADP
ejpam-4575	31	11	unconstrained	unconstrained	ADJ
ejpam-4575	31	12	problems	problem	NOUN
ejpam-4575	31	13	,	,	PUNCT
ejpam-4575	31	14	in	in	ADP
ejpam-4575	31	15	order	order	NOUN
ejpam-4575	31	16	to	to	PART
ejpam-4575	31	17	maximize	maximize	VERB
ejpam-4575	31	18	the	the	DET
ejpam-4575	31	19	benefits	benefit	NOUN
ejpam-4575	31	20	of	of	ADP
ejpam-4575	31	21	the	the	DET
ejpam-4575	31	22	original	original	ADJ
ejpam-4575	31	23	conjugate	conjugate	ADJ
ejpam-4575	31	24	gradient	gradient	NOUN
ejpam-4575	31	25	approaches	approach	NOUN
ejpam-4575	31	26	.	.	PUNCT
ejpam-4575	32	1	a	a	DET
ejpam-4575	32	2	few	few	ADJ
ejpam-4575	32	3	novel	novel	NOUN
ejpam-4575	32	4	optimization	optimization	NOUN
ejpam-4575	32	5	approaches	approach	NOUN
ejpam-4575	32	6	have	have	AUX
ejpam-4575	32	7	been	be	AUX
ejpam-4575	32	8	presented	present	VERB
ejpam-4575	32	9	in	in	ADP
ejpam-4575	32	10	this	this	DET
ejpam-4575	32	11	regard	regard	NOUN
ejpam-4575	32	12	[	[	X
ejpam-4575	32	13	4–6	4–6	X
ejpam-4575	32	14	]	]	X
ejpam-4575	32	15	.	.	PUNCT
ejpam-4575	33	1	using	use	VERB
ejpam-4575	33	2	a	a	DET
ejpam-4575	33	3	conjugacy	conjugacy	ADJ
ejpam-4575	33	4	condition	condition	NOUN
ejpam-4575	33	5	,	,	PUNCT
ejpam-4575	33	6	we	we	PRON
ejpam-4575	33	7	provide	provide	VERB
ejpam-4575	33	8	a	a	DET
ejpam-4575	33	9	modified	modify	VERB
ejpam-4575	33	10	conjugate	conjugate	ADJ
ejpam-4575	33	11	gradient	gradient	NOUN
ejpam-4575	33	12	technique	technique	NOUN
ejpam-4575	33	13	in	in	ADP
ejpam-4575	33	14	this	this	DET
ejpam-4575	33	15	paper	paper	NOUN
ejpam-4575	33	16	.	.	PUNCT
ejpam-4575	34	1	the	the	DET
ejpam-4575	34	2	sufficient	sufficient	ADJ
ejpam-4575	34	3	descent	descent	NOUN
ejpam-4575	34	4	property	property	NOUN
ejpam-4575	34	5	is	be	AUX
ejpam-4575	34	6	satisfied	satisfied	ADJ
ejpam-4575	34	7	by	by	ADP
ejpam-4575	34	8	the	the	DET
ejpam-4575	34	9	new	new	ADJ
ejpam-4575	34	10	search	search	NOUN
ejpam-4575	34	11	direction	direction	NOUN
ejpam-4575	34	12	,	,	PUNCT
ejpam-4575	34	13	which	which	PRON
ejpam-4575	34	14	is	be	AUX
ejpam-4575	34	15	independent	independent	ADJ
ejpam-4575	34	16	of	of	ADP
ejpam-4575	34	17	the	the	DET
ejpam-4575	34	18	line	line	NOUN
ejpam-4575	34	19	search	search	NOUN
ejpam-4575	34	20	and	and	CCONJ
ejpam-4575	34	21	the	the	DET
ejpam-4575	34	22	convexity	convexity	NOUN
ejpam-4575	34	23	assumption	assumption	NOUN
ejpam-4575	34	24	on	on	ADP
ejpam-4575	34	25	the	the	DET
ejpam-4575	34	26	objective	objective	ADJ
ejpam-4575	34	27	function	function	NOUN
ejpam-4575	34	28	.	.	PUNCT
ejpam-4575	35	1	under	under	ADP
ejpam-4575	35	2	the	the	DET
ejpam-4575	35	3	conventional	conventional	ADJ
ejpam-4575	35	4	assumptions	assumption	NOUN
ejpam-4575	35	5	,	,	PUNCT
ejpam-4575	35	6	the	the	DET
ejpam-4575	35	7	new	new	ADJ
ejpam-4575	35	8	method	method	NOUN
ejpam-4575	35	9	has	have	VERB
ejpam-4575	35	10	global	global	ADJ
ejpam-4575	35	11	convergence	convergence	NOUN
ejpam-4575	35	12	for	for	ADP
ejpam-4575	35	13	generic	generic	ADJ
ejpam-4575	35	14	functions	function	NOUN
ejpam-4575	35	15	.	.	PUNCT
ejpam-4575	36	1	when	when	SCONJ
ejpam-4575	36	2	dealing	deal	VERB
ejpam-4575	36	3	with	with	ADP
ejpam-4575	36	4	unconstrained	unconstrained	ADJ
ejpam-4575	36	5	optimization	optimization	NOUN
ejpam-4575	36	6	issues	issue	NOUN
ejpam-4575	36	7	,	,	PUNCT
ejpam-4575	36	8	numerical	numerical	ADJ
ejpam-4575	36	9	experiments	experiment	NOUN
ejpam-4575	36	10	show	show	VERB
ejpam-4575	36	11	that	that	SCONJ
ejpam-4575	36	12	the	the	DET
ejpam-4575	36	13	new	new	ADJ
ejpam-4575	36	14	approach	approach	NOUN
ejpam-4575	36	15	is	be	AUX
ejpam-4575	36	16	superior	superior	ADJ
ejpam-4575	36	17	.	.	PUNCT
ejpam-4575	37	1	2	2	X
ejpam-4575	37	2	.	.	X
ejpam-4575	37	3	deriving	derive	VERB
ejpam-4575	37	4	new	new	ADJ
ejpam-4575	37	5	coefficient	coefficient	NOUN
ejpam-4575	37	6	conjugate	conjugate	ADJ
ejpam-4575	37	7	as	as	SCONJ
ejpam-4575	37	8	everyone	everyone	PRON
ejpam-4575	37	9	is	be	AUX
ejpam-4575	37	10	aware	aware	ADJ
ejpam-4575	37	11	,	,	PUNCT
ejpam-4575	37	12	the	the	DET
ejpam-4575	37	13	following	follow	VERB
ejpam-4575	37	14	outcomes	outcome	NOUN
ejpam-4575	37	15	are	be	AUX
ejpam-4575	37	16	produced	produce	VERB
ejpam-4575	37	17	when	when	SCONJ
ejpam-4575	37	18	the	the	DET
ejpam-4575	37	19	objective	objective	ADJ
ejpam-4575	37	20	function	function	NOUN
ejpam-4575	37	21	to	to	PART
ejpam-4575	37	22	be	be	AUX
ejpam-4575	37	23	decreased	decrease	VERB
ejpam-4575	37	24	is	be	AUX
ejpam-4575	37	25	quadratic	quadratic	ADJ
ejpam-4575	37	26	and	and	CCONJ
ejpam-4575	37	27	accurate	accurate	ADJ
ejpam-4575	37	28	line	line	NOUN
ejpam-4575	37	29	searches	search	NOUN
ejpam-4575	37	30	are	be	AUX
ejpam-4575	37	31	used	use	VERB
ejpam-4575	37	32	:	:	PUNCT
ejpam-4575	38	1	dtk+1qdk	dtk+1qdk	PROPN
ejpam-4575	38	2	=	=	SYM
ejpam-4575	38	3	0	0	PUNCT
ejpam-4575	39	1	(	(	PUNCT
ejpam-4575	39	2	9	9	NUM
ejpam-4575	39	3	)	)	PUNCT
ejpam-4575	39	4	where	where	SCONJ
ejpam-4575	39	5	q	q	NOUN
ejpam-4575	39	6	is	be	AUX
ejpam-4575	39	7	hessian	hessian	ADJ
ejpam-4575	39	8	matrix	matrix	NOUN
ejpam-4575	39	9	.	.	PUNCT
ejpam-4575	40	1	the	the	DET
ejpam-4575	40	2	conjugacy	conjugacy	ADJ
ejpam-4575	40	3	condition	condition	NOUN
ejpam-4575	40	4	is	be	AUX
ejpam-4575	40	5	what	what	PRON
ejpam-4575	40	6	it	it	PRON
ejpam-4575	40	7	’s	’s	AUX
ejpam-4575	40	8	called	call	VERB
ejpam-4575	40	9	.	.	PUNCT
ejpam-4575	41	1	in	in	ADP
ejpam-4575	41	2	[	[	X
ejpam-4575	41	3	13	13	NUM
ejpam-4575	41	4	]	]	PUNCT
ejpam-4575	41	5	has	have	VERB
ejpam-4575	41	6	further	further	ADJ
ejpam-4575	41	7	information	information	NOUN
ejpam-4575	41	8	.	.	PUNCT
ejpam-4575	42	1	because	because	SCONJ
ejpam-4575	42	2	the	the	DET
ejpam-4575	42	3	dk+1	dk+1	NOUN
ejpam-4575	42	4	=	=	SYM
ejpam-4575	42	5	−gk+1	−gk+1	PROPN
ejpam-4575	42	6	+	+	CCONJ
ejpam-4575	42	7	βkdk	βkdk	NOUN
ejpam-4575	42	8	for	for	ADP
ejpam-4575	42	9	the	the	DET
ejpam-4575	42	10	conjugate	conjugate	ADJ
ejpam-4575	42	11	gradient	gradient	NOUN
ejpam-4575	42	12	technique	technique	NOUN
ejpam-4575	42	13	,	,	PUNCT
ejpam-4575	42	14	the	the	DET
ejpam-4575	42	15	y.	y.	PROPN
ejpam-4575	42	16	a.	a.	NOUN
ejpam-4575	42	17	laylani	laylani	PROPN
ejpam-4575	42	18	,	,	PUNCT
ejpam-4575	42	19	b.	b.	PROPN
ejpam-4575	42	20	a.	a.	PROPN
ejpam-4575	42	21	hassan	hassan	PROPN
ejpam-4575	42	22	,	,	PUNCT
ejpam-4575	42	23	h.	h.	PROPN
ejpam-4575	42	24	m.	m.	PROPN
ejpam-4575	42	25	khudhur	khudhur	PROPN
ejpam-4575	42	26	/	/	SYM
ejpam-4575	42	27	eur	eur	PROPN
ejpam-4575	42	28	.	.	PUNCT
ejpam-4575	43	1	j.	j.	PROPN
ejpam-4575	43	2	pure	pure	PROPN
ejpam-4575	43	3	appl	appl	PROPN
ejpam-4575	43	4	.	.	PROPN
ejpam-4575	43	5	math	math	PROPN
ejpam-4575	43	6	,	,	PUNCT
ejpam-4575	43	7	15	15	NUM
ejpam-4575	43	8	(	(	PUNCT
ejpam-4575	43	9	4	4	NUM
ejpam-4575	43	10	)	)	PUNCT
ejpam-4575	43	11	(	(	PUNCT
ejpam-4575	43	12	2022	2022	NUM
ejpam-4575	43	13	)	)	PUNCT
ejpam-4575	43	14	,	,	PUNCT
ejpam-4575	43	15	1908	1908	NUM
ejpam-4575	43	16	-	-	SYM
ejpam-4575	43	17	1916	1916	NUM
ejpam-4575	43	18	1910	1910	NUM
ejpam-4575	43	19	following	follow	VERB
ejpam-4575	43	20	is	be	AUX
ejpam-4575	43	21	the	the	DET
ejpam-4575	43	22	result	result	NOUN
ejpam-4575	43	23	:	:	PUNCT
ejpam-4575	43	24	βk	βk	PROPN
ejpam-4575	43	25	=	=	PUNCT
ejpam-4575	43	26	gtk+1qsk	gtk+1qsk	PROPN
ejpam-4575	43	27	dtkqsk	dtkqsk	PROPN
ejpam-4575	43	28	(	(	PUNCT
ejpam-4575	43	29	10	10	NUM
ejpam-4575	43	30	)	)	PUNCT
ejpam-4575	43	31	as	as	ADP
ejpam-4575	43	32	a	a	DET
ejpam-4575	43	33	result	result	NOUN
ejpam-4575	43	34	,	,	PUNCT
ejpam-4575	43	35	a	a	DET
ejpam-4575	43	36	coefficient	coefficient	NOUN
ejpam-4575	43	37	conjugacy	conjugacy	NOUN
ejpam-4575	43	38	is	be	AUX
ejpam-4575	43	39	obtained	obtain	VERB
ejpam-4575	43	40	.	.	PUNCT
ejpam-4575	44	1	we	we	PRON
ejpam-4575	44	2	now	now	ADV
ejpam-4575	44	3	utilize	utilize	VERB
ejpam-4575	44	4	a	a	DET
ejpam-4575	44	5	quadratic	quadratic	ADJ
ejpam-4575	44	6	model	model	NOUN
ejpam-4575	44	7	to	to	PART
ejpam-4575	44	8	derive	derive	VERB
ejpam-4575	44	9	the	the	DET
ejpam-4575	44	10	new	new	ADJ
ejpam-4575	44	11	conjugate	conjugate	ADJ
ejpam-4575	44	12	gradient	gradient	NOUN
ejpam-4575	44	13	approach	approach	NOUN
ejpam-4575	44	14	,	,	PUNCT
ejpam-4575	44	15	which	which	PRON
ejpam-4575	44	16	can	can	AUX
ejpam-4575	44	17	be	be	AUX
ejpam-4575	44	18	represented	represent	VERB
ejpam-4575	44	19	as	as	ADP
ejpam-4575	44	20	:	:	PUNCT
ejpam-4575	44	21	fk+1	fk+1	NUM
ejpam-4575	44	22	=	=	SYM
ejpam-4575	44	23	fk	fk	NOUN
ejpam-4575	44	24	+	+	NOUN
ejpam-4575	44	25	stk	stk	PROPN
ejpam-4575	44	26	gk	gk	PROPN
ejpam-4575	44	27	+	+	NOUN
ejpam-4575	44	28	1	1	NUM
ejpam-4575	44	29	2	2	NUM
ejpam-4575	44	30	stkq(xk)sk	stkq(xk)sk	PROPN
ejpam-4575	44	31	(	(	PUNCT
ejpam-4575	44	32	11	11	NUM
ejpam-4575	44	33	)	)	PUNCT
ejpam-4575	44	34	we	we	PRON
ejpam-4575	44	35	may	may	AUX
ejpam-4575	44	36	calculate	calculate	VERB
ejpam-4575	44	37	the	the	DET
ejpam-4575	44	38	first	first	ADJ
ejpam-4575	44	39	order	order	NOUN
ejpam-4575	44	40	derivative	derivative	NOUN
ejpam-4575	44	41	:	:	PUNCT
ejpam-4575	45	1	∇fk+1	∇fk+1	PROPN
ejpam-4575	45	2	=	=	PROPN
ejpam-4575	45	3	gk	gk	PROPN
ejpam-4575	45	4	+	+	PROPN
ejpam-4575	45	5	q(xk)sk	q(xk)sk	NOUN
ejpam-4575	45	6	(	(	PUNCT
ejpam-4575	45	7	12	12	NUM
ejpam-4575	45	8	)	)	PUNCT
ejpam-4575	45	9	using	use	VERB
ejpam-4575	45	10	(	(	PUNCT
ejpam-4575	45	11	12	12	NUM
ejpam-4575	45	12	)	)	PUNCT
ejpam-4575	45	13	in	in	ADP
ejpam-4575	45	14	(	(	PUNCT
ejpam-4575	45	15	11	11	NUM
ejpam-4575	45	16	)	)	PUNCT
ejpam-4575	45	17	we	we	PRON
ejpam-4575	45	18	get	get	VERB
ejpam-4575	45	19	the	the	DET
ejpam-4575	45	20	following	following	NOUN
ejpam-4575	45	21	:	:	PUNCT
ejpam-4575	45	22	stk	stk	PROPN
ejpam-4575	45	23	yk	yk	PROPN
ejpam-4575	45	24	+	+	CCONJ
ejpam-4575	45	25	fk+1	fk+1	VERB
ejpam-4575	45	26	−	−	NUM
ejpam-4575	46	1	fk	fk	NOUN
ejpam-4575	46	2	=	=	NOUN
ejpam-4575	46	3	1	1	NUM
ejpam-4575	46	4	2	2	NUM
ejpam-4575	46	5	stkq(xk)sk	stkq(xk)sk	PROPN
ejpam-4575	46	6	(	(	PUNCT
ejpam-4575	46	7	13	13	NUM
ejpam-4575	46	8	)	)	PUNCT
ejpam-4575	46	9	we	we	PRON
ejpam-4575	46	10	may	may	AUX
ejpam-4575	46	11	write	write	VERB
ejpam-4575	46	12	the	the	DET
ejpam-4575	46	13	equation	equation	NOUN
ejpam-4575	46	14	(	(	PUNCT
ejpam-4575	46	15	13	13	NUM
ejpam-4575	46	16	)	)	PUNCT
ejpam-4575	46	17	by	by	ADP
ejpam-4575	46	18	using	use	VERB
ejpam-4575	46	19	(	(	PUNCT
ejpam-4575	46	20	3	3	NUM
ejpam-4575	46	21	)	)	PUNCT
ejpam-4575	46	22	,	,	PUNCT
ejpam-4575	46	23	as	as	SCONJ
ejpam-4575	46	24	follows	follow	VERB
ejpam-4575	46	25	:	:	PUNCT
ejpam-4575	46	26	dtkq(xk)sk	dtkq(xk)sk	X
ejpam-4575	46	27	=	=	SYM
ejpam-4575	46	28	1	1	NUM
ejpam-4575	46	29	2	2	NUM
ejpam-4575	46	30	αk(g	αk(g	NUM
ejpam-4575	46	31	t	t	NOUN
ejpam-4575	46	32	k	k	PROPN
ejpam-4575	46	33	dk	dk	PROPN
ejpam-4575	46	34	)	)	PUNCT
ejpam-4575	46	35	2	2	NUM
ejpam-4575	46	36	(	(	PUNCT
ejpam-4575	46	37	stk	stk	PROPN
ejpam-4575	46	38	yk	yk	PROPN
ejpam-4575	46	39	+	+	CCONJ
ejpam-4575	46	40	(	(	PUNCT
ejpam-4575	46	41	fk+1	fk+1	ADP
ejpam-4575	46	42	−	−	PROPN
ejpam-4575	46	43	fk	fk	INTJ
ejpam-4575	46	44	)	)	PUNCT
ejpam-4575	46	45	)	)	PUNCT
ejpam-4575	47	1	=	=	SYM
ejpam-4575	47	2	ρks	ρks	NOUN
ejpam-4575	47	3	t	t	PROPN
ejpam-4575	47	4	k	k	PROPN
ejpam-4575	47	5	yk	yk	PROPN
ejpam-4575	47	6	(	(	PUNCT
ejpam-4575	47	7	14	14	NUM
ejpam-4575	47	8	)	)	PUNCT
ejpam-4575	47	9	we	we	PRON
ejpam-4575	47	10	generate	generate	VERB
ejpam-4575	47	11	a	a	DET
ejpam-4575	47	12	new	new	ADJ
ejpam-4575	47	13	formula	formula	NOUN
ejpam-4575	47	14	βk	βk	VERB
ejpam-4575	47	15	by	by	ADP
ejpam-4575	47	16	plugging	plug	VERB
ejpam-4575	47	17	(	(	PUNCT
ejpam-4575	47	18	14	14	NUM
ejpam-4575	47	19	)	)	PUNCT
ejpam-4575	47	20	into	into	ADP
ejpam-4575	47	21	(	(	PUNCT
ejpam-4575	47	22	10	10	NUM
ejpam-4575	47	23	):	):	PUNCT
ejpam-4575	47	24	βk	βk	ADV
ejpam-4575	47	25	=	=	SYM
ejpam-4575	47	26	gtk+1yk	gtk+1yk	NOUN
ejpam-4575	47	27	ρks	ρks	NOUN
ejpam-4575	47	28	t	t	PROPN
ejpam-4575	47	29	k	k	PROPN
ejpam-4575	47	30	yk	yk	PROPN
ejpam-4575	47	31	,	,	PUNCT
ejpam-4575	47	32	ρ1k	ρ1k	PROPN
ejpam-4575	47	33	=	=	SYM
ejpam-4575	48	1	1	1	NUM
ejpam-4575	48	2	2	2	NUM
ejpam-4575	48	3	αk(g	αk(g	NUM
ejpam-4575	48	4	t	t	NOUN
ejpam-4575	48	5	k	k	PROPN
ejpam-4575	48	6	dk	dk	PROPN
ejpam-4575	48	7	)	)	PUNCT
ejpam-4575	48	8	2	2	NUM
ejpam-4575	48	9	stk	stk	X
ejpam-4575	48	10	yk(s	yk(s	NUM
ejpam-4575	48	11	t	t	PROPN
ejpam-4575	48	12	k	k	PROPN
ejpam-4575	48	13	yk	yk	PROPN
ejpam-4575	49	1	+	+	CCONJ
ejpam-4575	50	1	(	(	PUNCT
ejpam-4575	50	2	fk+1	fk+1	ADP
ejpam-4575	50	3	−	−	PROPN
ejpam-4575	50	4	fk	fk	INTJ
ejpam-4575	50	5	)	)	PUNCT
ejpam-4575	50	6	)	)	PUNCT
ejpam-4575	50	7	(	(	PUNCT
ejpam-4575	50	8	15	15	NUM
ejpam-4575	50	9	)	)	PUNCT
ejpam-4575	50	10	because	because	SCONJ
ejpam-4575	50	11	f	f	PROPN
ejpam-4575	50	12	is	be	AUX
ejpam-4575	50	13	a	a	DET
ejpam-4575	50	14	quadratic	quadratic	ADJ
ejpam-4575	50	15	function	function	NOUN
ejpam-4575	50	16	and	and	CCONJ
ejpam-4575	50	17	exact	exact	ADJ
ejpam-4575	50	18	line	line	NOUN
ejpam-4575	50	19	search	search	NOUN
ejpam-4575	50	20	is	be	AUX
ejpam-4575	50	21	used	use	VERB
ejpam-4575	50	22	,	,	PUNCT
ejpam-4575	50	23	the	the	DET
ejpam-4575	50	24	following	follow	VERB
ejpam-4575	50	25	is	be	AUX
ejpam-4575	50	26	the	the	DET
ejpam-4575	50	27	result	result	NOUN
ejpam-4575	50	28	:	:	PUNCT
ejpam-4575	50	29	βk	βk	ADJ
ejpam-4575	50	30	=	=	SYM
ejpam-4575	50	31	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	50	32	ρks	ρks	NOUN
ejpam-4575	50	33	t	t	PROPN
ejpam-4575	50	34	k	k	PROPN
ejpam-4575	50	35	yk	yk	PROPN
ejpam-4575	50	36	,	,	PUNCT
ejpam-4575	50	37	ρ1k	ρ1k	PROPN
ejpam-4575	50	38	=	=	SYM
ejpam-4575	50	39	1	1	NUM
ejpam-4575	50	40	2	2	NUM
ejpam-4575	50	41	αk(g	αk(g	NUM
ejpam-4575	50	42	t	t	NOUN
ejpam-4575	50	43	k	k	PROPN
ejpam-4575	50	44	dk	dk	PROPN
ejpam-4575	50	45	)	)	PUNCT
ejpam-4575	50	46	2	2	NUM
ejpam-4575	51	1	stk	stk	X
ejpam-4575	51	2	yk(s	yk(s	NUM
ejpam-4575	51	3	t	t	PROPN
ejpam-4575	51	4	k	k	PROPN
ejpam-4575	51	5	yk	yk	PROPN
ejpam-4575	51	6	+	+	CCONJ
ejpam-4575	51	7	(	(	PUNCT
ejpam-4575	51	8	fk+1	fk+1	ADP
ejpam-4575	51	9	−	−	PROPN
ejpam-4575	51	10	fk	fk	INTJ
ejpam-4575	51	11	)	)	PUNCT
ejpam-4575	51	12	)	)	PUNCT
ejpam-4575	51	13	(	(	PUNCT
ejpam-4575	51	14	16	16	NUM
ejpam-4575	51	15	)	)	PUNCT
ejpam-4575	51	16	using	use	VERB
ejpam-4575	51	17	and	and	CCONJ
ejpam-4575	51	18	exact	exact	ADJ
ejpam-4575	51	19	line	line	NOUN
ejpam-4575	51	20	search	search	NOUN
ejpam-4575	51	21	in	in	ADP
ejpam-4575	51	22	(	(	PUNCT
ejpam-4575	51	23	13	13	NUM
ejpam-4575	51	24	)	)	PUNCT
ejpam-4575	51	25	,	,	PUNCT
ejpam-4575	51	26	then	then	ADV
ejpam-4575	51	27	(	(	PUNCT
ejpam-4575	51	28	16	16	NUM
ejpam-4575	51	29	)	)	PUNCT
ejpam-4575	51	30	reduces	reduce	VERB
ejpam-4575	51	31	to	to	ADP
ejpam-4575	51	32	:	:	PUNCT
ejpam-4575	51	33	ρ2k	ρ2k	PROPN
ejpam-4575	51	34	=	=	SYM
ejpam-4575	51	35	1	1	NUM
ejpam-4575	51	36	2	2	NUM
ejpam-4575	51	37	αk(g	αk(g	NUM
ejpam-4575	51	38	t	t	NOUN
ejpam-4575	51	39	k	k	PROPN
ejpam-4575	51	40	dk	dk	PROPN
ejpam-4575	51	41	)	)	PUNCT
ejpam-4575	51	42	2	2	NUM
ejpam-4575	51	43	stk	stk	PROPN
ejpam-4575	51	44	yk(−stk	yk(−stk	PROPN
ejpam-4575	51	45	gk	gk	PROPN
ejpam-4575	52	1	+	+	CCONJ
ejpam-4575	52	2	(	(	PUNCT
ejpam-4575	52	3	fk+1	fk+1	INTJ
ejpam-4575	52	4	−	−	PROPN
ejpam-4575	52	5	fk	fk	INTJ
ejpam-4575	52	6	)	)	PUNCT
ejpam-4575	52	7	)	)	PUNCT
ejpam-4575	52	8	(	(	PUNCT
ejpam-4575	52	9	17	17	NUM
ejpam-4575	52	10	)	)	PUNCT
ejpam-4575	52	11	and	and	CCONJ
ejpam-4575	52	12	ρ3k	ρ3k	NUM
ejpam-4575	52	13	=	=	SYM
ejpam-4575	52	14	1	1	NUM
ejpam-4575	52	15	2	2	NUM
ejpam-4575	52	16	αk(g	αk(g	NUM
ejpam-4575	52	17	t	t	NOUN
ejpam-4575	52	18	k	k	PROPN
ejpam-4575	52	19	dk	dk	PROPN
ejpam-4575	52	20	)	)	PUNCT
ejpam-4575	52	21	2	2	NUM
ejpam-4575	52	22	stk	stk	PROPN
ejpam-4575	52	23	yk(αkg	yk(αkg	PROPN
ejpam-4575	52	24	t	t	PROPN
ejpam-4575	52	25	k	k	PROPN
ejpam-4575	52	26	gk	gk	PROPN
ejpam-4575	52	27	+	+	CCONJ
ejpam-4575	52	28	(	(	PUNCT
ejpam-4575	52	29	fk+1	fk+1	INTJ
ejpam-4575	52	30	−	−	PROPN
ejpam-4575	52	31	fk	fk	INTJ
ejpam-4575	52	32	)	)	PUNCT
ejpam-4575	52	33	)	)	PUNCT
ejpam-4575	52	34	(	(	PUNCT
ejpam-4575	52	35	18	18	NUM
ejpam-4575	52	36	)	)	PUNCT
ejpam-4575	52	37	as	as	ADP
ejpam-4575	52	38	a	a	DET
ejpam-4575	52	39	result	result	NOUN
ejpam-4575	52	40	,	,	PUNCT
ejpam-4575	52	41	our	our	PRON
ejpam-4575	52	42	proposal	proposal	NOUN
ejpam-4575	52	43	,	,	PUNCT
ejpam-4575	52	44	the	the	DET
ejpam-4575	52	45	so	so	ADV
ejpam-4575	52	46	-	-	PUNCT
ejpam-4575	52	47	called	call	VERB
ejpam-4575	52	48	bn	bn	NOUN
ejpam-4575	52	49	,	,	PUNCT
ejpam-4575	52	50	becomes	become	VERB
ejpam-4575	52	51	clear	clear	ADJ
ejpam-4575	52	52	.	.	PUNCT
ejpam-4575	53	1	the	the	DET
ejpam-4575	53	2	proposed	propose	VERB
ejpam-4575	53	3	technique	technique	NOUN
ejpam-4575	53	4	is	be	AUX
ejpam-4575	53	5	provided	provide	VERB
ejpam-4575	53	6	with	with	ADP
ejpam-4575	53	7	a	a	DET
ejpam-4575	53	8	new	new	ADJ
ejpam-4575	53	9	algorithm	algorithm	NOUN
ejpam-4575	53	10	based	base	VERB
ejpam-4575	53	11	on	on	ADP
ejpam-4575	53	12	the	the	DET
ejpam-4575	53	13	aforementioned	aforementione	VERB
ejpam-4575	53	14	.	.	PUNCT
ejpam-4575	54	1	y.	y.	NOUN
ejpam-4575	54	2	a.	a.	NOUN
ejpam-4575	54	3	laylani	laylani	PROPN
ejpam-4575	54	4	,	,	PUNCT
ejpam-4575	54	5	b.	b.	PROPN
ejpam-4575	54	6	a.	a.	PROPN
ejpam-4575	54	7	hassan	hassan	PROPN
ejpam-4575	54	8	,	,	PUNCT
ejpam-4575	54	9	h.	h.	PROPN
ejpam-4575	54	10	m.	m.	PROPN
ejpam-4575	54	11	khudhur	khudhur	PROPN
ejpam-4575	54	12	/	/	SYM
ejpam-4575	54	13	eur	eur	PROPN
ejpam-4575	54	14	.	.	PUNCT
ejpam-4575	55	1	j.	j.	PROPN
ejpam-4575	55	2	pure	pure	PROPN
ejpam-4575	55	3	appl	appl	PROPN
ejpam-4575	55	4	.	.	PROPN
ejpam-4575	55	5	math	math	PROPN
ejpam-4575	55	6	,	,	PUNCT
ejpam-4575	55	7	15	15	NUM
ejpam-4575	55	8	(	(	PUNCT
ejpam-4575	55	9	4	4	NUM
ejpam-4575	55	10	)	)	PUNCT
ejpam-4575	55	11	(	(	PUNCT
ejpam-4575	55	12	2022	2022	NUM
ejpam-4575	55	13	)	)	PUNCT
ejpam-4575	55	14	,	,	PUNCT
ejpam-4575	55	15	1908	1908	NUM
ejpam-4575	55	16	-	-	SYM
ejpam-4575	55	17	1916	1916	NUM
ejpam-4575	55	18	1911	1911	NUM
ejpam-4575	55	19	2.1	2.1	NUM
ejpam-4575	55	20	.	.	PUNCT
ejpam-4575	56	1	algorithm	algorithm	NOUN
ejpam-4575	56	2	step	step	NOUN
ejpam-4575	56	3	1	1	NUM
ejpam-4575	56	4	.	.	PUNCT
ejpam-4575	57	1	givenx1	givenx1	PROPN
ejpam-4575	57	2	∈	∈	PROPN
ejpam-4575	57	3	rn	rn	PROPN
ejpam-4575	57	4	.	.	PROPN
ejpam-4575	57	5	set	set	VERB
ejpam-4575	57	6	k	k	PROPN
ejpam-4575	57	7	=	=	PUNCT
ejpam-4575	57	8	1	1	NUM
ejpam-4575	57	9	and	and	CCONJ
ejpam-4575	57	10	d1	d1	PROPN
ejpam-4575	57	11	=	=	SYM
ejpam-4575	57	12	−g1	−g1	VERB
ejpam-4575	57	13	.	.	PUNCT
ejpam-4575	58	1	step	step	NOUN
ejpam-4575	58	2	2	2	NUM
ejpam-4575	58	3	.	.	PUNCT
ejpam-4575	59	1	let	let	VERB
ejpam-4575	59	2	the	the	DET
ejpam-4575	59	3	step	step	NOUN
ejpam-4575	59	4	size	size	NOUN
ejpam-4575	59	5	αk	αk	X
ejpam-4575	59	6	satisfying	satisfy	VERB
ejpam-4575	59	7	the	the	DET
ejpam-4575	59	8	(	(	PUNCT
ejpam-4575	59	9	4	4	NUM
ejpam-4575	59	10	)	)	PUNCT
ejpam-4575	59	11	and	and	CCONJ
ejpam-4575	59	12	(	(	PUNCT
ejpam-4575	59	13	5	5	NUM
ejpam-4575	59	14	)	)	PUNCT
ejpam-4575	59	15	.	.	PUNCT
ejpam-4575	60	1	step	step	NOUN
ejpam-4575	60	2	3	3	NUM
ejpam-4575	60	3	.	.	PUNCT
ejpam-4575	61	1	let	let	VERB
ejpam-4575	61	2	xk+1	xk+1	NOUN
ejpam-4575	61	3	=	=	SYM
ejpam-4575	61	4	xk	xk	PROPN
ejpam-4575	62	1	+	+	CCONJ
ejpam-4575	62	2	αkdk	αkdk	NOUN
ejpam-4575	62	3	.	.	PUNCT
ejpam-4575	63	1	if	if	SCONJ
ejpam-4575	63	2	∥gk+1∥	∥gk+1∥	NUM
ejpam-4575	63	3	≤	≤	NOUN
ejpam-4575	63	4	10−6	10−6	NUM
ejpam-4575	63	5	,	,	PUNCT
ejpam-4575	63	6	then	then	ADV
ejpam-4575	63	7	stop	stop	VERB
ejpam-4575	63	8	.	.	PUNCT
ejpam-4575	64	1	step	step	NOUN
ejpam-4575	64	2	4	4	NUM
ejpam-4575	64	3	.	.	PUNCT
ejpam-4575	64	4	update	update	NOUN
ejpam-4575	64	5	βk	βk	NOUN
ejpam-4575	64	6	by	by	ADP
ejpam-4575	64	7	the	the	DET
ejpam-4575	64	8	(	(	PUNCT
ejpam-4575	64	9	16	16	NUM
ejpam-4575	64	10	)	)	PUNCT
ejpam-4575	64	11	,	,	PUNCT
ejpam-4575	64	12	then	then	ADV
ejpam-4575	64	13	dk+1	dk+1	VERB
ejpam-4575	64	14	by	by	ADP
ejpam-4575	64	15	(	(	PUNCT
ejpam-4575	64	16	6	6	NUM
ejpam-4575	64	17	)	)	PUNCT
ejpam-4575	64	18	.	.	PUNCT
ejpam-4575	65	1	step	step	NOUN
ejpam-4575	65	2	5	5	NUM
ejpam-4575	65	3	.	.	PUNCT
ejpam-4575	66	1	set	set	VERB
ejpam-4575	66	2	k	k	PROPN
ejpam-4575	67	1	=	=	PUNCT
ejpam-4575	67	2	k	k	PROPN
ejpam-4575	68	1	+	+	CCONJ
ejpam-4575	68	2	1	1	NUM
ejpam-4575	68	3	and	and	CCONJ
ejpam-4575	68	4	go	go	VERB
ejpam-4575	68	5	to	to	ADP
ejpam-4575	68	6	step2	step2	PROPN
ejpam-4575	68	7	.	.	PUNCT
ejpam-4575	69	1	the	the	DET
ejpam-4575	69	2	descent	descent	NOUN
ejpam-4575	69	3	condition	condition	NOUN
ejpam-4575	69	4	exposes	expose	VERB
ejpam-4575	69	5	a	a	DET
ejpam-4575	69	6	useful	useful	ADJ
ejpam-4575	69	7	characteristic	characteristic	NOUN
ejpam-4575	69	8	for	for	ADP
ejpam-4575	69	9	the	the	DET
ejpam-4575	69	10	new	new	ADJ
ejpam-4575	69	11	formula	formula	NOUN
ejpam-4575	69	12	conjugate	conjugate	VERB
ejpam-4575	69	13	gradient	gradient	ADJ
ejpam-4575	69	14	technique	technique	NOUN
ejpam-4575	69	15	.	.	PUNCT
ejpam-4575	70	1	additional	additional	ADJ
ejpam-4575	70	2	properties	property	NOUN
ejpam-4575	70	3	are	be	AUX
ejpam-4575	70	4	highly	highly	ADV
ejpam-4575	70	5	crucial	crucial	ADJ
ejpam-4575	70	6	in	in	ADP
ejpam-4575	70	7	the	the	DET
ejpam-4575	70	8	convergence	convergence	NOUN
ejpam-4575	70	9	proved	prove	VERB
ejpam-4575	70	10	in	in	ADP
ejpam-4575	70	11	this	this	DET
ejpam-4575	70	12	investigation	investigation	NOUN
ejpam-4575	70	13	.	.	PUNCT
ejpam-4575	71	1	the	the	DET
ejpam-4575	71	2	preceding	precede	VERB
ejpam-4575	71	3	material	material	NOUN
ejpam-4575	71	4	is	be	AUX
ejpam-4575	71	5	summarized	summarize	VERB
ejpam-4575	71	6	in	in	ADP
ejpam-4575	71	7	the	the	DET
ejpam-4575	71	8	following	follow	VERB
ejpam-4575	71	9	theorem	theorem	PROPN
ejpam-4575	71	10	.	.	PUNCT
ejpam-4575	72	1	theorem	theorem	NOUN
ejpam-4575	72	2	1	1	NUM
ejpam-4575	72	3	.	.	PUNCT
ejpam-4575	73	1	if	if	SCONJ
ejpam-4575	73	2	we	we	PRON
ejpam-4575	73	3	use	use	VERB
ejpam-4575	73	4	the	the	DET
ejpam-4575	73	5	new	new	ADJ
ejpam-4575	73	6	way	way	NOUN
ejpam-4575	73	7	to	to	PART
ejpam-4575	73	8	create	create	VERB
ejpam-4575	73	9	{	{	PUNCT
ejpam-4575	73	10	xk	xk	ADJ
ejpam-4575	73	11	}	}	PUNCT
ejpam-4575	73	12	and	and	CCONJ
ejpam-4575	73	13	{	{	PUNCT
ejpam-4575	73	14	dk	dk	X
ejpam-4575	73	15	}	}	PUNCT
ejpam-4575	73	16	,	,	PUNCT
ejpam-4575	73	17	we	we	PRON
ejpam-4575	73	18	get	get	VERB
ejpam-4575	73	19	:	:	PUNCT
ejpam-4575	73	20	dtk+1gk+1	dtk+1gk+1	X
ejpam-4575	73	21	<	<	X
ejpam-4575	73	22	0	0	NUM
ejpam-4575	73	23	,	,	PUNCT
ejpam-4575	73	24	and	and	CCONJ
ejpam-4575	73	25	dtk+1gk+1	dtk+1gk+1	X
ejpam-4575	74	1	=	=	NOUN
ejpam-4575	74	2	βkd	βkd	PROPN
ejpam-4575	75	1	t	t	PROPN
ejpam-4575	75	2	k	k	PROPN
ejpam-4575	75	3	gk	gk	PROPN
ejpam-4575	75	4	(	(	PUNCT
ejpam-4575	75	5	19	19	NUM
ejpam-4575	75	6	)	)	PUNCT
ejpam-4575	75	7	proof	proof	NOUN
ejpam-4575	75	8	.	.	PUNCT
ejpam-4575	76	1	it	it	PRON
ejpam-4575	76	2	goes	go	VERB
ejpam-4575	76	3	without	without	ADP
ejpam-4575	76	4	saying	say	VERB
ejpam-4575	76	5	that	that	SCONJ
ejpam-4575	76	6	if	if	SCONJ
ejpam-4575	76	7	dk	dk	PROPN
ejpam-4575	76	8	=	=	NOUN
ejpam-4575	76	9	−gk	−gk	PROPN
ejpam-4575	76	10	then	then	ADV
ejpam-4575	76	11	dt1	dt1	PROPN
ejpam-4575	76	12	g1	g1	PROPN
ejpam-4575	76	13	<	<	X
ejpam-4575	76	14	0	0	X
ejpam-4575	76	15	.	.	PUNCT
ejpam-4575	76	16	assume	assume	VERB
ejpam-4575	76	17	that	that	SCONJ
ejpam-4575	76	18	dtk	dtk	PROPN
ejpam-4575	76	19	gk	gk	PROPN
ejpam-4575	76	20	<	<	X
ejpam-4575	76	21	0	0	NUM
ejpam-4575	76	22	for	for	ADP
ejpam-4575	76	23	any	any	DET
ejpam-4575	76	24	k.	k.	NOUN
ejpam-4575	76	25	from	from	ADP
ejpam-4575	76	26	(	(	PUNCT
ejpam-4575	76	27	6	6	NUM
ejpam-4575	76	28	)	)	PUNCT
ejpam-4575	76	29	and	and	CCONJ
ejpam-4575	76	30	(	(	PUNCT
ejpam-4575	76	31	17	17	NUM
ejpam-4575	76	32	)	)	PUNCT
ejpam-4575	76	33	,	,	PUNCT
ejpam-4575	76	34	it	it	PRON
ejpam-4575	76	35	is	be	AUX
ejpam-4575	76	36	simple	simple	ADJ
ejpam-4575	76	37	to	to	ADP
ejpam-4575	76	38	deduce	deduce	VERB
ejpam-4575	76	39	:	:	PUNCT
ejpam-4575	76	40	dtk+1gk+1	dtk+1gk+1	PROPN
ejpam-4575	77	1	=	=	PUNCT
ejpam-4575	77	2	−gtk+1gk+1	−gtk+1gk+1	PROPN
ejpam-4575	78	1	+	+	CCONJ
ejpam-4575	78	2	βkd	βkd	VERB
ejpam-4575	78	3	t	t	NOUN
ejpam-4575	78	4	k	k	X
ejpam-4575	78	5	gk+1	gk+1	PROPN
ejpam-4575	78	6	=	=	SYM
ejpam-4575	78	7	−βk	−βk	PROPN
ejpam-4575	78	8	[	[	PUNCT
ejpam-4575	78	9	ρks	ρks	NOUN
ejpam-4575	78	10	t	t	PROPN
ejpam-4575	78	11	k	k	PROPN
ejpam-4575	78	12	yk	yk	PROPN
ejpam-4575	78	13	]	]	PUNCT
ejpam-4575	79	1	+	+	CCONJ
ejpam-4575	79	2	βkd	βkd	VERB
ejpam-4575	79	3	t	t	X
ejpam-4575	79	4	k	k	NOUN
ejpam-4575	79	5	gk+1	gk+1	NOUN
ejpam-4575	79	6	=	=	SYM
ejpam-4575	79	7	βk[d	βk[d	PROPN
ejpam-4575	79	8	t	t	PROPN
ejpam-4575	79	9	k	k	X
ejpam-4575	79	10	gk+1	gk+1	PROPN
ejpam-4575	79	11	−	−	PROPN
ejpam-4575	79	12	ρks	ρks	NOUN
ejpam-4575	79	13	t	t	PROPN
ejpam-4575	79	14	k	k	PROPN
ejpam-4575	79	15	yk	yk	PROPN
ejpam-4575	79	16	]	]	X
ejpam-4575	79	17	(	(	PUNCT
ejpam-4575	79	18	20	20	NUM
ejpam-4575	79	19	)	)	PUNCT
ejpam-4575	79	20	we	we	PRON
ejpam-4575	79	21	may	may	AUX
ejpam-4575	79	22	deduce	deduce	VERB
ejpam-4575	79	23	the	the	DET
ejpam-4575	79	24	following	following	NOUN
ejpam-4575	79	25	from	from	ADP
ejpam-4575	79	26	equations	equation	NOUN
ejpam-4575	79	27	(	(	PUNCT
ejpam-4575	79	28	15	15	NUM
ejpam-4575	79	29	)	)	PUNCT
ejpam-4575	79	30	and	and	CCONJ
ejpam-4575	79	31	(	(	PUNCT
ejpam-4575	79	32	20	20	NUM
ejpam-4575	79	33	):	):	PUNCT
ejpam-4575	79	34	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4575	79	35	=	=	NOUN
ejpam-4575	80	1	βkd	βkd	PROPN
ejpam-4575	80	2	t	t	PROPN
ejpam-4575	80	3	k	k	PROPN
ejpam-4575	80	4	gk	gk	PROPN
ejpam-4575	80	5	(	(	PUNCT
ejpam-4575	80	6	21	21	NUM
ejpam-4575	80	7	)	)	PUNCT
ejpam-4575	80	8	it	it	PRON
ejpam-4575	80	9	is	be	AUX
ejpam-4575	80	10	obvious	obvious	ADJ
ejpam-4575	80	11	that	that	SCONJ
ejpam-4575	80	12	dtk	dtk	PROPN
ejpam-4575	80	13	gk	gk	PROPN
ejpam-4575	80	14	<	<	X
ejpam-4575	80	15	0	0	PROPN
ejpam-4575	80	16	,	,	PUNCT
ejpam-4575	80	17	thus	thus	ADV
ejpam-4575	80	18	we	we	PRON
ejpam-4575	80	19	get	get	VERB
ejpam-4575	80	20	:	:	PUNCT
ejpam-4575	80	21	dtk+1gk+1	dtk+1gk+1	X
ejpam-4575	80	22	<	<	X
ejpam-4575	80	23	0	0	PUNCT
ejpam-4575	80	24	(	(	PUNCT
ejpam-4575	80	25	22	22	NUM
ejpam-4575	80	26	)	)	PUNCT
ejpam-4575	80	27	the	the	DET
ejpam-4575	80	28	proof	proof	NOUN
ejpam-4575	80	29	is	be	AUX
ejpam-4575	80	30	finished.other	finished.other	NUM
ejpam-4575	80	31	methods	method	NOUN
ejpam-4575	80	32	,	,	PUNCT
ejpam-4575	80	33	can	can	AUX
ejpam-4575	80	34	be	be	AUX
ejpam-4575	80	35	proven	prove	VERB
ejpam-4575	80	36	in	in	ADP
ejpam-4575	80	37	the	the	DET
ejpam-4575	80	38	same	same	ADJ
ejpam-4575	80	39	way	way	NOUN
ejpam-4575	80	40	.	.	PUNCT
ejpam-4575	81	1	3	3	X
ejpam-4575	81	2	.	.	X
ejpam-4575	81	3	convergence	convergence	NOUN
ejpam-4575	81	4	analysis	analysis	NOUN
ejpam-4575	81	5	we	we	PRON
ejpam-4575	81	6	look	look	VERB
ejpam-4575	81	7	at	at	ADP
ejpam-4575	81	8	how	how	SCONJ
ejpam-4575	81	9	new	new	ADJ
ejpam-4575	81	10	algorithms	algorithm	NOUN
ejpam-4575	81	11	are	be	AUX
ejpam-4575	81	12	converged	converge	VERB
ejpam-4575	81	13	.	.	PUNCT
ejpam-4575	82	1	on	on	ADP
ejpam-4575	82	2	the	the	DET
ejpam-4575	82	3	objective	objective	ADJ
ejpam-4575	82	4	function	function	NOUN
ejpam-4575	82	5	,	,	PUNCT
ejpam-4575	82	6	the	the	DET
ejpam-4575	82	7	following	follow	VERB
ejpam-4575	82	8	assumptions	assumption	NOUN
ejpam-4575	82	9	are	be	AUX
ejpam-4575	82	10	made	make	VERB
ejpam-4575	82	11	.	.	PUNCT
ejpam-4575	83	1	•	•	NUM
ejpam-4575	83	2	d	d	X
ejpam-4575	83	3	=	=	SYM
ejpam-4575	83	4	{	{	PUNCT
ejpam-4575	83	5	x|f(x	x|f(x	NOUN
ejpam-4575	83	6	)	)	PUNCT
ejpam-4575	83	7	≤	≤	NUM
ejpam-4575	83	8	f(x0	f(x0	NOUN
ejpam-4575	83	9	)	)	PUNCT
ejpam-4575	83	10	}	}	PUNCT
ejpam-4575	83	11	is	be	AUX
ejpam-4575	83	12	a	a	DET
ejpam-4575	83	13	bounded	bounded	ADJ
ejpam-4575	83	14	level	level	NOUN
ejpam-4575	83	15	set	set	NOUN
ejpam-4575	83	16	.	.	PUNCT
ejpam-4575	84	1	•	•	NOUN
ejpam-4575	84	2	in	in	ADP
ejpam-4575	84	3	some	some	DET
ejpam-4575	84	4	neighborhood	neighborhood	NOUN
ejpam-4575	85	1	d	d	NOUN
ejpam-4575	85	2	that	that	PRON
ejpam-4575	85	3	contains	contain	VERB
ejpam-4575	85	4	l0	l0	PROPN
ejpam-4575	85	5	,	,	PUNCT
ejpam-4575	85	6	the	the	DET
ejpam-4575	85	7	gradient	gradient	NOUN
ejpam-4575	85	8	is	be	AUX
ejpam-4575	85	9	lipschitz	lipschitz	NOUN
ejpam-4575	85	10	continuous	continuous	ADJ
ejpam-4575	85	11	;	;	PUNCT
ejpam-4575	85	12	that	that	PRON
ejpam-4575	85	13	is	is	ADV
ejpam-4575	85	14	,	,	PUNCT
ejpam-4575	85	15	l	l	NOUN
ejpam-4575	85	16	exists	exist	VERB
ejpam-4575	85	17	such	such	ADJ
ejpam-4575	85	18	that	that	SCONJ
ejpam-4575	85	19	:	:	PUNCT
ejpam-4575	85	20	∥g(υ)−	∥g(υ)−	X
ejpam-4575	85	21	g(ω)∥	g(ω)∥	NOUN
ejpam-4575	85	22	≤	≤	ADJ
ejpam-4575	85	23	l	l	NOUN
ejpam-4575	85	24	∥υ	∥υ	PROPN
ejpam-4575	85	25	−	−	PROPN
ejpam-4575	85	26	ω∥	ω∥	ADP
ejpam-4575	85	27	∀υ	∀υ	PROPN
ejpam-4575	85	28	,	,	PUNCT
ejpam-4575	85	29	ω	ω	PROPN
ejpam-4575	85	30	∈	∈	PROPN
ejpam-4575	85	31	d	d	X
ejpam-4575	85	32	(	(	PUNCT
ejpam-4575	85	33	23	23	NUM
ejpam-4575	85	34	)	)	PUNCT
ejpam-4575	85	35	for	for	ADP
ejpam-4575	85	36	further	further	ADJ
ejpam-4575	85	37	information	information	NOUN
ejpam-4575	85	38	,	,	PUNCT
ejpam-4575	85	39	read	read	VERB
ejpam-4575	85	40	[	[	X
ejpam-4575	85	41	1	1	NUM
ejpam-4575	85	42	,	,	PUNCT
ejpam-4575	85	43	10	10	NUM
ejpam-4575	85	44	]	]	PUNCT
ejpam-4575	85	45	and	and	CCONJ
ejpam-4575	85	46	zoutendijk	zoutendijk	X
ejpam-4575	86	1	[	[	X
ejpam-4575	86	2	16	16	NUM
ejpam-4575	86	3	]	]	PUNCT
ejpam-4575	86	4	achieved	achieve	VERB
ejpam-4575	86	5	the	the	DET
ejpam-4575	86	6	following	follow	VERB
ejpam-4575	86	7	significant	significant	ADJ
ejpam-4575	86	8	finding	finding	NOUN
ejpam-4575	86	9	.	.	PUNCT
ejpam-4575	87	1	y.	y.	NOUN
ejpam-4575	87	2	a.	a.	NOUN
ejpam-4575	87	3	laylani	laylani	PROPN
ejpam-4575	87	4	,	,	PUNCT
ejpam-4575	87	5	b.	b.	PROPN
ejpam-4575	87	6	a.	a.	PROPN
ejpam-4575	87	7	hassan	hassan	PROPN
ejpam-4575	87	8	,	,	PUNCT
ejpam-4575	87	9	h.	h.	PROPN
ejpam-4575	87	10	m.	m.	PROPN
ejpam-4575	87	11	khudhur	khudhur	PROPN
ejpam-4575	87	12	/	/	SYM
ejpam-4575	87	13	eur	eur	PROPN
ejpam-4575	87	14	.	.	PUNCT
ejpam-4575	88	1	j.	j.	PROPN
ejpam-4575	88	2	pure	pure	PROPN
ejpam-4575	88	3	appl	appl	PROPN
ejpam-4575	88	4	.	.	PROPN
ejpam-4575	88	5	math	math	PROPN
ejpam-4575	88	6	,	,	PUNCT
ejpam-4575	88	7	15	15	NUM
ejpam-4575	88	8	(	(	PUNCT
ejpam-4575	88	9	4	4	NUM
ejpam-4575	88	10	)	)	PUNCT
ejpam-4575	88	11	(	(	PUNCT
ejpam-4575	88	12	2022	2022	NUM
ejpam-4575	88	13	)	)	PUNCT
ejpam-4575	88	14	,	,	PUNCT
ejpam-4575	88	15	1908	1908	NUM
ejpam-4575	88	16	-	-	SYM
ejpam-4575	88	17	1916	1916	NUM
ejpam-4575	88	18	1912	1912	NUM
ejpam-4575	88	19	lemma	lemma	PROPN
ejpam-4575	88	20	1	1	X
ejpam-4575	88	21	.	.	PUNCT
ejpam-4575	88	22	allow	allow	VERB
ejpam-4575	88	23	all	all	DET
ejpam-4575	88	24	assumptions	assumption	NOUN
ejpam-4575	88	25	to	to	PART
ejpam-4575	88	26	be	be	AUX
ejpam-4575	88	27	true	true	ADJ
ejpam-4575	88	28	.	.	PUNCT
ejpam-4575	89	1	consider	consider	VERB
ejpam-4575	89	2	any	any	DET
ejpam-4575	89	3	iteration	iteration	NOUN
ejpam-4575	89	4	algorithm	algorithm	NOUN
ejpam-4575	89	5	that	that	PRON
ejpam-4575	89	6	uses	use	VERB
ejpam-4575	89	7	the	the	DET
ejpam-4575	89	8	wolfe	wolfe	PROPN
ejpam-4575	89	9	line	line	NOUN
ejpam-4575	89	10	search	search	NOUN
ejpam-4575	89	11	to	to	PART
ejpam-4575	89	12	get	get	VERB
ejpam-4575	89	13	αk	αk	NOUN
ejpam-4575	89	14	.	.	PUNCT
ejpam-4575	90	1	then	then	ADV
ejpam-4575	90	2	:	:	PUNCT
ejpam-4575	91	1	∞∑	∞∑	NUM
ejpam-4575	91	2	k=1	k=1	X
ejpam-4575	91	3	(	(	PUNCT
ejpam-4575	91	4	gtk	gtk	NOUN
ejpam-4575	91	5	dk	dk	PROPN
ejpam-4575	91	6	)	)	PUNCT
ejpam-4575	91	7	2	2	NUM
ejpam-4575	91	8	∥dk∥2	∥dk∥2	NOUN
ejpam-4575	91	9	<	<	X
ejpam-4575	91	10	∞	∞	PROPN
ejpam-4575	91	11	(	(	PUNCT
ejpam-4575	91	12	24	24	NUM
ejpam-4575	91	13	)	)	PUNCT
ejpam-4575	91	14	theorem	theorem	NOUN
ejpam-4575	91	15	2	2	NUM
ejpam-4575	91	16	.	.	X
ejpam-4575	91	17	assume	assume	VERB
ejpam-4575	91	18	that	that	SCONJ
ejpam-4575	91	19	all	all	PRON
ejpam-4575	91	20	of	of	ADP
ejpam-4575	91	21	your	your	PRON
ejpam-4575	91	22	assumptions	assumption	NOUN
ejpam-4575	91	23	are	be	AUX
ejpam-4575	91	24	correct	correct	ADJ
ejpam-4575	91	25	.	.	PUNCT
ejpam-4575	92	1	if	if	SCONJ
ejpam-4575	92	2	(	(	PUNCT
ejpam-4575	92	3	19	19	NUM
ejpam-4575	92	4	)	)	PUNCT
ejpam-4575	92	5	is	be	AUX
ejpam-4575	92	6	satisfied	satisfy	VERB
ejpam-4575	92	7	by	by	ADP
ejpam-4575	92	8	formula	formula	NOUN
ejpam-4575	92	9	βk	βk	NOUN
ejpam-4575	92	10	,	,	PUNCT
ejpam-4575	92	11	we	we	PRON
ejpam-4575	92	12	have	have	VERB
ejpam-4575	92	13	:	:	PUNCT
ejpam-4575	92	14	lim	lim	PROPN
ejpam-4575	92	15	k→∞	k→∞	PROPN
ejpam-4575	92	16	inf	inf	PROPN
ejpam-4575	92	17	∥gk∥	∥gk∥	PROPN
ejpam-4575	92	18	=	=	SYM
ejpam-4575	92	19	0	0	NUM
ejpam-4575	92	20	(	(	PUNCT
ejpam-4575	92	21	25	25	NUM
ejpam-4575	92	22	)	)	PUNCT
ejpam-4575	92	23	proof	proof	NOUN
ejpam-4575	92	24	.	.	PUNCT
ejpam-4575	93	1	assume	assume	VERB
ejpam-4575	93	2	that	that	SCONJ
ejpam-4575	93	3	(	(	PUNCT
ejpam-4575	93	4	25	25	NUM
ejpam-4575	93	5	)	)	PUNCT
ejpam-4575	93	6	is	be	AUX
ejpam-4575	93	7	n’t	not	PART
ejpam-4575	93	8	true	true	ADJ
ejpam-4575	93	9	by	by	ADP
ejpam-4575	93	10	induction	induction	NOUN
ejpam-4575	93	11	.	.	PUNCT
ejpam-4575	94	1	(	(	PUNCT
ejpam-4575	94	2	6	6	NUM
ejpam-4575	94	3	)	)	PUNCT
ejpam-4575	94	4	is	be	AUX
ejpam-4575	94	5	rewritten	rewrite	VERB
ejpam-4575	94	6	as	as	ADV
ejpam-4575	94	7	dk+1+gk+1	dk+1+gk+1	ADJ
ejpam-4575	94	8	=	=	PUNCT
ejpam-4575	94	9	βkdk	βkdk	NOUN
ejpam-4575	94	10	,	,	PUNCT
ejpam-4575	94	11	and	and	CCONJ
ejpam-4575	94	12	upon	upon	SCONJ
ejpam-4575	94	13	squaring	square	VERB
ejpam-4575	94	14	both	both	DET
ejpam-4575	94	15	sides	side	NOUN
ejpam-4575	94	16	,	,	PUNCT
ejpam-4575	94	17	we	we	PRON
ejpam-4575	94	18	obtain	obtain	VERB
ejpam-4575	94	19	:	:	PUNCT
ejpam-4575	94	20	∥dk+1∥2	∥dk+1∥2	NOUN
ejpam-4575	94	21	+	+	CCONJ
ejpam-4575	94	22	∥gk+1∥2	∥gk+1∥2	ADJ
ejpam-4575	94	23	+	+	CCONJ
ejpam-4575	94	24	2dtk+1gk+1	2dtk+1gk+1	NUM
ejpam-4575	94	25	=	=	SYM
ejpam-4575	94	26	(	(	PUNCT
ejpam-4575	94	27	βk	βk	NOUN
ejpam-4575	94	28	)	)	PUNCT
ejpam-4575	94	29	2	2	NUM
ejpam-4575	94	30	∥dk∥2	∥dk∥2	PROPN
ejpam-4575	94	31	(	(	PUNCT
ejpam-4575	94	32	26	26	NUM
ejpam-4575	94	33	)	)	PUNCT
ejpam-4575	94	34	applying	apply	VERB
ejpam-4575	94	35	(	(	PUNCT
ejpam-4575	94	36	21	21	NUM
ejpam-4575	94	37	)	)	PUNCT
ejpam-4575	94	38	,	,	PUNCT
ejpam-4575	94	39	yields	yield	NOUN
ejpam-4575	94	40	:	:	PUNCT
ejpam-4575	94	41	∥dk+1∥2	∥dk+1∥2	NOUN
ejpam-4575	94	42	=	=	SYM
ejpam-4575	94	43	(	(	PUNCT
ejpam-4575	94	44	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4575	94	45	)	)	PUNCT
ejpam-4575	94	46	2	2	NUM
ejpam-4575	94	47	(	(	PUNCT
ejpam-4575	94	48	dtk	dtk	PROPN
ejpam-4575	94	49	gk	gk	PROPN
ejpam-4575	94	50	)	)	PUNCT
ejpam-4575	94	51	2	2	NUM
ejpam-4575	94	52	∥dk∥2	∥dk∥2	NOUN
ejpam-4575	94	53	−	−	NOUN
ejpam-4575	94	54	2dtk+1gk+1	2dtk+1gk+1	NOUN
ejpam-4575	94	55	−	−	PROPN
ejpam-4575	94	56	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	94	57	(	(	PUNCT
ejpam-4575	94	58	27	27	NUM
ejpam-4575	94	59	)	)	PUNCT
ejpam-4575	94	60	equation	equation	NOUN
ejpam-4575	94	61	(	(	PUNCT
ejpam-4575	94	62	27	27	NUM
ejpam-4575	94	63	)	)	PUNCT
ejpam-4575	94	64	is	be	AUX
ejpam-4575	94	65	divided	divide	VERB
ejpam-4575	94	66	into	into	ADP
ejpam-4575	94	67	(	(	PUNCT
ejpam-4575	94	68	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4575	94	69	)	)	PUNCT
ejpam-4575	94	70	2	2	NUM
ejpam-4575	94	71	,	,	PUNCT
ejpam-4575	94	72	we	we	PRON
ejpam-4575	94	73	get	get	VERB
ejpam-4575	94	74	:	:	PUNCT
ejpam-4575	94	75	∥dk+1∥2	∥dk+1∥2	ADJ
ejpam-4575	94	76	(	(	PUNCT
ejpam-4575	94	77	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4575	94	78	=	=	SYM
ejpam-4575	94	79	∥dk∥2	∥dk∥2	PROPN
ejpam-4575	94	80	(	(	PUNCT
ejpam-4575	94	81	dtk	dtk	PROPN
ejpam-4575	94	82	gk	gk	PROPN
ejpam-4575	94	83	)	)	PUNCT
ejpam-4575	94	84	2	2	NUM
ejpam-4575	94	85	−	−	NOUN
ejpam-4575	94	86	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	94	87	(	(	PUNCT
ejpam-4575	94	88	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4575	94	89	−	−	NUM
ejpam-4575	94	90	2	2	NUM
ejpam-4575	94	91	dtk+1gk+1	dtk+1gk+1	X
ejpam-4575	94	92	(	(	PUNCT
ejpam-4575	94	93	28	28	NUM
ejpam-4575	94	94	)	)	PUNCT
ejpam-4575	94	95	the	the	DET
ejpam-4575	94	96	equation	equation	NOUN
ejpam-4575	94	97	becomes	become	VERB
ejpam-4575	94	98	,	,	PUNCT
ejpam-4575	94	99	by	by	ADP
ejpam-4575	94	100	completing	complete	VERB
ejpam-4575	94	101	the	the	DET
ejpam-4575	94	102	square	square	NOUN
ejpam-4575	94	103	:	:	PUNCT
ejpam-4575	94	104	∥dk+1∥2	∥dk+1∥2	ADJ
ejpam-4575	94	105	(	(	PUNCT
ejpam-4575	95	1	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4575	95	2	≤	≤	NUM
ejpam-4575	95	3	∥dk∥2	∥dk∥2	PUNCT
ejpam-4575	96	1	(	(	PUNCT
ejpam-4575	96	2	dtk	dtk	PROPN
ejpam-4575	96	3	gk)2	gk)2	PROPN
ejpam-4575	96	4	−	−	PROPN
ejpam-4575	96	5	(	(	PUNCT
ejpam-4575	96	6	∥gk+1∥	∥gk+1∥	NUM
ejpam-4575	96	7	(	(	PUNCT
ejpam-4575	96	8	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4575	96	9	)	)	PUNCT
ejpam-4575	96	10	+	+	CCONJ
ejpam-4575	96	11	1	1	NUM
ejpam-4575	96	12	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	96	13	)	)	PUNCT
ejpam-4575	97	1	+	+	CCONJ
ejpam-4575	97	2	1	1	NUM
ejpam-4575	97	3	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	97	4	≤	≤	NUM
ejpam-4575	97	5	∥dk∥2	∥dk∥2	PUNCT
ejpam-4575	98	1	(	(	PUNCT
ejpam-4575	98	2	dtk	dtk	PROPN
ejpam-4575	98	3	gk)2	gk)2	PROPN
ejpam-4575	98	4	+	+	CCONJ
ejpam-4575	98	5	1	1	NUM
ejpam-4575	98	6	∥gk+1∥2	∥gk+1∥2	NOUN
ejpam-4575	98	7	(	(	PUNCT
ejpam-4575	98	8	29	29	NUM
ejpam-4575	98	9	)	)	PUNCT
ejpam-4575	98	10	hence	hence	ADV
ejpam-4575	98	11	,	,	PUNCT
ejpam-4575	98	12	∥dk+1∥2	∥dk+1∥2	X
ejpam-4575	98	13	(	(	PUNCT
ejpam-4575	98	14	dtk+1gk+1)2	dtk+1gk+1)2	ADJ
ejpam-4575	98	15	≤	≤	NUM
ejpam-4575	98	16	k+1∑	k+1∑	PROPN
ejpam-4575	99	1	i=1	i=1	PROPN
ejpam-4575	100	1	1	1	NUM
ejpam-4575	100	2	∥gi∥2	∥gi∥2	NOUN
ejpam-4575	100	3	(	(	PUNCT
ejpam-4575	100	4	30	30	NUM
ejpam-4575	100	5	)	)	PUNCT
ejpam-4575	100	6	suppose	suppose	VERB
ejpam-4575	100	7	that	that	SCONJ
ejpam-4575	100	8	there	there	PRON
ejpam-4575	100	9	exists	exist	VERB
ejpam-4575	100	10	c1	c1	PROPN
ejpam-4575	100	11	>	>	X
ejpam-4575	100	12	0	0	PUNCT
ejpam-4575	100	13	such	such	ADJ
ejpam-4575	100	14	that	that	SCONJ
ejpam-4575	100	15	∥gk∥	∥gk∥	ADJ
ejpam-4575	100	16	≥	≥	NOUN
ejpam-4575	100	17	c1	c1	NOUN
ejpam-4575	100	18	for	for	ADP
ejpam-4575	100	19	all	all	DET
ejpam-4575	100	20	k	k	PROPN
ejpam-4575	100	21	∈	∈	PROPN
ejpam-4575	100	22	n.then	n.then	SCONJ
ejpam-4575	100	23	:	:	PUNCT
ejpam-4575	100	24	∥dk+1∥2	∥dk+1∥2	X
ejpam-4575	100	25	(	(	PUNCT
ejpam-4575	100	26	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4575	100	27	<	<	X
ejpam-4575	100	28	k	k	X
ejpam-4575	100	29	+	+	SYM
ejpam-4575	100	30	1	1	NUM
ejpam-4575	100	31	c21	c21	NOUN
ejpam-4575	100	32	(	(	PUNCT
ejpam-4575	100	33	31	31	NUM
ejpam-4575	100	34	)	)	PUNCT
ejpam-4575	100	35	assume	assume	VERB
ejpam-4575	100	36	and	and	CCONJ
ejpam-4575	100	37	note	note	VERB
ejpam-4575	100	38	in	in	ADP
ejpam-4575	100	39	equation	equation	NOUN
ejpam-4575	100	40	(	(	PUNCT
ejpam-4575	100	41	31	31	NUM
ejpam-4575	100	42	)	)	PUNCT
ejpam-4575	101	1	that	that	SCONJ
ejpam-4575	101	2	:	:	PUNCT
ejpam-4575	101	3	∞∑	∞∑	NUM
ejpam-4575	101	4	k=1	k=1	X
ejpam-4575	101	5	(	(	PUNCT
ejpam-4575	101	6	gtk	gtk	NOUN
ejpam-4575	101	7	dk	dk	PROPN
ejpam-4575	101	8	)	)	PUNCT
ejpam-4575	101	9	2	2	NUM
ejpam-4575	101	10	∥dk∥2	∥dk∥2	NOUN
ejpam-4575	101	11	=	=	SYM
ejpam-4575	101	12	∞	∞	PROPN
ejpam-4575	101	13	(	(	PUNCT
ejpam-4575	101	14	32	32	NUM
ejpam-4575	101	15	)	)	PUNCT
ejpam-4575	101	16	y.	y.	NOUN
ejpam-4575	101	17	a.	a.	NOUN
ejpam-4575	101	18	laylani	laylani	PROPN
ejpam-4575	101	19	,	,	PUNCT
ejpam-4575	101	20	b.	b.	PROPN
ejpam-4575	101	21	a.	a.	PROPN
ejpam-4575	101	22	hassan	hassan	PROPN
ejpam-4575	101	23	,	,	PUNCT
ejpam-4575	101	24	h.	h.	PROPN
ejpam-4575	101	25	m.	m.	PROPN
ejpam-4575	101	26	khudhur	khudhur	PROPN
ejpam-4575	101	27	/	/	SYM
ejpam-4575	101	28	eur	eur	PROPN
ejpam-4575	101	29	.	.	PUNCT
ejpam-4575	102	1	j.	j.	PROPN
ejpam-4575	102	2	pure	pure	PROPN
ejpam-4575	102	3	appl	appl	PROPN
ejpam-4575	102	4	.	.	PROPN
ejpam-4575	102	5	math	math	PROPN
ejpam-4575	102	6	,	,	PUNCT
ejpam-4575	102	7	15	15	NUM
ejpam-4575	102	8	(	(	PUNCT
ejpam-4575	102	9	4	4	NUM
ejpam-4575	102	10	)	)	PUNCT
ejpam-4575	102	11	(	(	PUNCT
ejpam-4575	102	12	2022	2022	NUM
ejpam-4575	102	13	)	)	PUNCT
ejpam-4575	102	14	,	,	PUNCT
ejpam-4575	102	15	1908	1908	NUM
ejpam-4575	102	16	-	-	SYM
ejpam-4575	102	17	1916	1916	NUM
ejpam-4575	102	18	1913	1913	NUM
ejpam-4575	102	19	based	base	VERB
ejpam-4575	102	20	on	on	ADP
ejpam-4575	102	21	lemma	lemma	PROPN
ejpam-4575	102	22	1	1	NUM
ejpam-4575	102	23	,	,	PUNCT
ejpam-4575	102	24	we	we	PRON
ejpam-4575	102	25	get	get	VERB
ejpam-4575	102	26	limk→∞	limk→∞	NOUN
ejpam-4575	102	27	inf	inf	ADJ
ejpam-4575	102	28	∥gk∥	∥gk∥	NOUN
ejpam-4575	102	29	=	=	SYM
ejpam-4575	102	30	0	0	NUM
ejpam-4575	102	31	holds	hold	NOUN
ejpam-4575	102	32	.	.	PUNCT
ejpam-4575	103	1	other	other	ADJ
ejpam-4575	103	2	methods	method	NOUN
ejpam-4575	103	3	,	,	PUNCT
ejpam-4575	103	4	can	can	AUX
ejpam-4575	103	5	be	be	AUX
ejpam-4575	103	6	proven	prove	VERB
ejpam-4575	103	7	in	in	ADP
ejpam-4575	103	8	the	the	DET
ejpam-4575	103	9	same	same	ADJ
ejpam-4575	103	10	way	way	NOUN
ejpam-4575	103	11	.	.	PUNCT
ejpam-4575	104	1	4	4	X
ejpam-4575	104	2	.	.	X
ejpam-4575	104	3	numerical	numerical	PROPN
ejpam-4575	104	4	results	result	NOUN
ejpam-4575	104	5	the	the	DET
ejpam-4575	104	6	outcomes	outcome	NOUN
ejpam-4575	104	7	of	of	ADP
ejpam-4575	104	8	mathematical	mathematical	ADJ
ejpam-4575	104	9	experiments	experiment	NOUN
ejpam-4575	104	10	are	be	AUX
ejpam-4575	104	11	presented	present	VERB
ejpam-4575	104	12	in	in	ADP
ejpam-4575	104	13	this	this	DET
ejpam-4575	104	14	section	section	NOUN
ejpam-4575	104	15	.	.	PUNCT
ejpam-4575	105	1	the	the	DET
ejpam-4575	105	2	fralgorithm	fralgorithm	PROPN
ejpam-4575	105	3	was	be	AUX
ejpam-4575	105	4	contrasted	contrast	VERB
ejpam-4575	105	5	with	with	ADP
ejpam-4575	105	6	the	the	DET
ejpam-4575	105	7	innovative	innovative	ADJ
ejpam-4575	105	8	conjugate	conjugate	ADJ
ejpam-4575	105	9	gradient	gradient	ADJ
ejpam-4575	105	10	algorithm	algorithm	NOUN
ejpam-4575	105	11	.	.	PUNCT
ejpam-4575	106	1	fortran	fortran	NOUN
ejpam-4575	106	2	was	be	AUX
ejpam-4575	106	3	used	use	VERB
ejpam-4575	106	4	to	to	PART
ejpam-4575	106	5	create	create	VERB
ejpam-4575	106	6	both	both	DET
ejpam-4575	106	7	algorithms	algorithm	NOUN
ejpam-4575	106	8	.	.	PUNCT
ejpam-4575	107	1	section	section	NOUN
ejpam-4575	107	2	1	1	NUM
ejpam-4575	107	3	.	.	PUNCT
ejpam-4575	107	4	contains	contain	VERB
ejpam-4575	107	5	the	the	DET
ejpam-4575	107	6	exam	exam	NOUN
ejpam-4575	107	7	questions	question	NOUN
ejpam-4575	107	8	.	.	PUNCT
ejpam-4575	108	1	we	we	PRON
ejpam-4575	108	2	investigated	investigate	VERB
ejpam-4575	108	3	numerical	numerical	ADJ
ejpam-4575	108	4	experiments	experiment	NOUN
ejpam-4575	108	5	for	for	ADP
ejpam-4575	108	6	15	15	NUM
ejpam-4575	108	7	extended	extended	ADJ
ejpam-4575	108	8	unconstrained	unconstrained	ADJ
ejpam-4575	108	9	optimization	optimization	NOUN
ejpam-4575	108	10	problems	problem	NOUN
ejpam-4575	108	11	with	with	ADP
ejpam-4575	108	12	the	the	DET
ejpam-4575	108	13	number	number	NOUN
ejpam-4575	108	14	of	of	ADP
ejpam-4575	108	15	variables	variable	NOUN
ejpam-4575	108	16	for	for	ADP
ejpam-4575	108	17	each	each	DET
ejpam-4575	108	18	test	test	NOUN
ejpam-4575	108	19	function	function	NOUN
ejpam-4575	108	20	.	.	PUNCT
ejpam-4575	109	1	we	we	PRON
ejpam-4575	109	2	use	use	VERB
ejpam-4575	109	3	the	the	DET
ejpam-4575	109	4	inequality	inequality	NOUN
ejpam-4575	109	5	as	as	ADP
ejpam-4575	109	6	a	a	DET
ejpam-4575	109	7	termination	termination	NOUN
ejpam-4575	109	8	condition	condition	NOUN
ejpam-4575	109	9	.	.	PUNCT
ejpam-4575	110	1	table	table	NOUN
ejpam-4575	110	2	1	1	NUM
ejpam-4575	110	3	contains	contain	VERB
ejpam-4575	110	4	the	the	DET
ejpam-4575	110	5	findings	finding	NOUN
ejpam-4575	110	6	of	of	ADP
ejpam-4575	110	7	the	the	DET
ejpam-4575	110	8	wolfe	wolfe	PROPN
ejpam-4575	110	9	condition	condition	PROPN
ejpam-4575	110	10	test	test	NOUN
ejpam-4575	110	11	,	,	PUNCT
ejpam-4575	110	12	with	with	ADP
ejpam-4575	110	13	the	the	DET
ejpam-4575	110	14	following	follow	VERB
ejpam-4575	110	15	definitions	definition	NOUN
ejpam-4575	110	16	for	for	ADP
ejpam-4575	110	17	each	each	DET
ejpam-4575	110	18	column	column	NOUN
ejpam-4575	110	19	:	:	PUNCT
ejpam-4575	110	20	the	the	DET
ejpam-4575	110	21	terminology	terminology	NOUN
ejpam-4575	110	22	used	use	VERB
ejpam-4575	110	23	to	to	PART
ejpam-4575	110	24	describe	describe	VERB
ejpam-4575	110	25	the	the	DET
ejpam-4575	110	26	issue	issue	NOUN
ejpam-4575	110	27	comprises	comprise	VERB
ejpam-4575	110	28	problem	problem	NOUN
ejpam-4575	110	29	,	,	PUNCT
ejpam-4575	110	30	problem	problem	NOUN
ejpam-4575	110	31	size	size	NOUN
ejpam-4575	110	32	,	,	PUNCT
ejpam-4575	110	33	dim	dim	NOUN
ejpam-4575	110	34	,	,	PUNCT
ejpam-4575	110	35	number	number	NOUN
ejpam-4575	110	36	of	of	ADP
ejpam-4575	110	37	iterations	iteration	NOUN
ejpam-4575	110	38	(	(	PUNCT
ejpam-4575	110	39	ni	ni	NOUN
ejpam-4575	110	40	)	)	PUNCT
ejpam-4575	110	41	,	,	PUNCT
ejpam-4575	110	42	and	and	CCONJ
ejpam-4575	110	43	number	number	NOUN
ejpam-4575	110	44	of	of	ADP
ejpam-4575	110	45	function	function	NOUN
ejpam-4575	110	46	evaluations	evaluation	NOUN
ejpam-4575	110	47	(	(	PUNCT
ejpam-4575	110	48	nf	nf	ADJ
ejpam-4575	110	49	)	)	PUNCT
ejpam-4575	110	50	.	.	PUNCT
ejpam-4575	111	1	table	table	NOUN
ejpam-4575	111	2	1	1	NUM
ejpam-4575	111	3	shows	show	VERB
ejpam-4575	111	4	how	how	SCONJ
ejpam-4575	111	5	many	many	ADJ
ejpam-4575	111	6	challenges	challenge	NOUN
ejpam-4575	111	7	these	these	DET
ejpam-4575	111	8	strategies	strategy	NOUN
ejpam-4575	111	9	have	have	AUX
ejpam-4575	111	10	addressed	address	VERB
ejpam-4575	111	11	in	in	ADP
ejpam-4575	111	12	terms	term	NOUN
ejpam-4575	111	13	of	of	ADP
ejpam-4575	111	14	iterations	iteration	NOUN
ejpam-4575	111	15	and	and	CCONJ
ejpam-4575	111	16	function	function	NOUN
ejpam-4575	111	17	evaluations	evaluation	NOUN
ejpam-4575	111	18	.	.	PUNCT
ejpam-4575	112	1	problem	problem	NOUN
ejpam-4575	112	2	numbers	number	NOUN
ejpam-4575	112	3	indicant	indicant	VERB
ejpam-4575	112	4	for	for	ADP
ejpam-4575	112	5	:	:	PUNCT
ejpam-4575	112	6	1	1	X
ejpam-4575	112	7	.	.	NUM
ejpam-4575	112	8	is	be	AUX
ejpam-4575	112	9	the	the	DET
ejpam-4575	112	10	trigonometric	trigonometric	ADJ
ejpam-4575	112	11	,	,	PUNCT
ejpam-4575	112	12	2	2	NUM
ejpam-4575	112	13	.	.	PUNCT
ejpam-4575	112	14	is	be	AUX
ejpam-4575	112	15	the	the	DET
ejpam-4575	112	16	extended	extended	ADJ
ejpam-4575	112	17	rosenbrock	rosenbrock	NOUN
ejpam-4575	112	18	,	,	PUNCT
ejpam-4575	112	19	3	3	NUM
ejpam-4575	112	20	.	.	PUNCT
ejpam-4575	112	21	is	be	AUX
ejpam-4575	112	22	the	the	DET
ejpam-4575	112	23	hager	hager	NOUN
ejpam-4575	112	24	,	,	PUNCT
ejpam-4575	112	25	4	4	NUM
ejpam-4575	112	26	.	.	PUNCT
ejpam-4575	112	27	is	be	AUX
ejpam-4575	112	28	the	the	DET
ejpam-4575	112	29	extended	extended	ADJ
ejpam-4575	112	30	tridiagonal	tridiagonal	ADJ
ejpam-4575	112	31	1	1	NUM
ejpam-4575	112	32	,	,	PUNCT
ejpam-4575	112	33	5	5	NUM
ejpam-4575	112	34	.	.	PUNCT
ejpam-4575	112	35	is	be	AUX
ejpam-4575	112	36	the	the	DET
ejpam-4575	112	37	generalized	generalized	ADJ
ejpam-4575	112	38	tridiagonal	tridiagonal	ADJ
ejpam-4575	112	39	2	2	NUM
ejpam-4575	112	40	,	,	PUNCT
ejpam-4575	112	41	6	6	NUM
ejpam-4575	112	42	.	.	PUNCT
ejpam-4575	113	1	is	be	AUX
ejpam-4575	113	2	the	the	DET
ejpam-4575	113	3	extended	extended	ADJ
ejpam-4575	113	4	psc1	psc1	NOUN
ejpam-4575	113	5	,	,	PUNCT
ejpam-4575	113	6	7	7	NUM
ejpam-4575	113	7	.	.	NUM
ejpam-4575	113	8	is	be	AUX
ejpam-4575	113	9	the	the	DET
ejpam-4575	113	10	extended	extended	ADJ
ejpam-4575	113	11	tridiagonal	tridiagonal	ADJ
ejpam-4575	113	12	2	2	NUM
ejpam-4575	113	13	,	,	PUNCT
ejpam-4575	113	14	8	8	NUM
ejpam-4575	113	15	.	.	PUNCT
ejpam-4575	114	1	is	be	AUX
ejpam-4575	114	2	edensch	edensch	ADJ
ejpam-4575	114	3	(	(	PUNCT
ejpam-4575	114	4	cute	cute	ADJ
ejpam-4575	114	5	)	)	PUNCT
ejpam-4575	114	6	,	,	PUNCT
ejpam-4575	114	7	9	9	NUM
ejpam-4575	114	8	.	.	X
ejpam-4575	114	9	is	be	AUX
ejpam-4575	114	10	the	the	DET
ejpam-4575	114	11	staircase	staircase	NOUN
ejpam-4575	114	12	s1	s1	NOUN
ejpam-4575	114	13	,	,	PUNCT
ejpam-4575	114	14	10	10	NUM
ejpam-4575	114	15	.	.	PUNCT
ejpam-4575	115	1	is	be	AUX
ejpam-4575	115	2	the	the	DET
ejpam-4575	115	3	denschna	denschna	NOUN
ejpam-4575	115	4	(	(	PUNCT
ejpam-4575	115	5	cute	cute	ADJ
ejpam-4575	115	6	)	)	PUNCT
ejpam-4575	115	7	,	,	PUNCT
ejpam-4575	115	8	11	11	NUM
ejpam-4575	115	9	.	.	PUNCT
ejpam-4575	116	1	is	be	AUX
ejpam-4575	116	2	the	the	DET
ejpam-4575	116	3	denschnc	denschnc	ADJ
ejpam-4575	116	4	(	(	PUNCT
ejpam-4575	116	5	cute	cute	ADJ
ejpam-4575	116	6	)	)	PUNCT
ejpam-4575	116	7	,	,	PUNCT
ejpam-4575	116	8	12	12	NUM
ejpam-4575	116	9	.	.	PUNCT
ejpam-4575	117	1	is	be	AUX
ejpam-4575	117	2	the	the	DET
ejpam-4575	117	3	extended	extended	ADJ
ejpam-4575	117	4	white	white	NOUN
ejpam-4575	117	5	&	&	CCONJ
ejpam-4575	117	6	holst	holst	NOUN
ejpam-4575	117	7	,	,	PUNCT
ejpam-4575	117	8	13	13	NUM
ejpam-4575	117	9	.	.	PUNCT
ejpam-4575	118	1	is	be	AUX
ejpam-4575	118	2	the	the	DET
ejpam-4575	118	3	extended	extended	ADJ
ejpam-4575	118	4	block	block	NOUN
ejpam-4575	118	5	-	-	PUNCT
ejpam-4575	118	6	diagonal	diagonal	ADJ
ejpam-4575	118	7	bd2	bd2	NOUN
ejpam-4575	118	8	,	,	PUNCT
ejpam-4575	118	9	14	14	NUM
ejpam-4575	118	10	.	.	PUNCT
ejpam-4575	119	1	is	be	AUX
ejpam-4575	119	2	the	the	DET
ejpam-4575	119	3	generalized	generalized	ADJ
ejpam-4575	119	4	quartic	quartic	ADJ
ejpam-4575	119	5	gq2	gq2	NOUN
ejpam-4575	119	6	,	,	PUNCT
ejpam-4575	119	7	15	15	NUM
ejpam-4575	119	8	.	.	PUNCT
ejpam-4575	120	1	is	be	AUX
ejpam-4575	120	2	the	the	DET
ejpam-4575	120	3	extended	extended	ADJ
ejpam-4575	120	4	beale	beale	NOUN
ejpam-4575	120	5	.	.	PUNCT
ejpam-4575	121	1	y.	y.	NOUN
ejpam-4575	121	2	a.	a.	NOUN
ejpam-4575	121	3	laylani	laylani	PROPN
ejpam-4575	121	4	,	,	PUNCT
ejpam-4575	121	5	b.	b.	PROPN
ejpam-4575	121	6	a.	a.	PROPN
ejpam-4575	121	7	hassan	hassan	PROPN
ejpam-4575	121	8	,	,	PUNCT
ejpam-4575	121	9	h.	h.	PROPN
ejpam-4575	121	10	m.	m.	PROPN
ejpam-4575	121	11	khudhur	khudhur	PROPN
ejpam-4575	121	12	/	/	SYM
ejpam-4575	121	13	eur	eur	PROPN
ejpam-4575	121	14	.	.	PUNCT
ejpam-4575	122	1	j.	j.	PROPN
ejpam-4575	122	2	pure	pure	PROPN
ejpam-4575	122	3	appl	appl	PROPN
ejpam-4575	122	4	.	.	PROPN
ejpam-4575	122	5	math	math	PROPN
ejpam-4575	122	6	,	,	PUNCT
ejpam-4575	122	7	15	15	NUM
ejpam-4575	122	8	(	(	PUNCT
ejpam-4575	122	9	4	4	NUM
ejpam-4575	122	10	)	)	PUNCT
ejpam-4575	122	11	(	(	PUNCT
ejpam-4575	122	12	2022	2022	NUM
ejpam-4575	122	13	)	)	PUNCT
ejpam-4575	122	14	,	,	PUNCT
ejpam-4575	122	15	1908	1908	NUM
ejpam-4575	122	16	-	-	SYM
ejpam-4575	122	17	1916	1916	NUM
ejpam-4575	122	18	1914	1914	NUM
ejpam-4575	122	19	table	table	NOUN
ejpam-4575	122	20	1	1	NUM
ejpam-4575	122	21	:	:	PUNCT
ejpam-4575	122	22	the	the	DET
ejpam-4575	122	23	numerical	numerical	ADJ
ejpam-4575	122	24	results	result	NOUN
ejpam-4575	122	25	of	of	ADP
ejpam-4575	122	26	the	the	DET
ejpam-4575	122	27	fr	fr	ADJ
ejpam-4575	122	28	and	and	CCONJ
ejpam-4575	122	29	new	new	ADJ
ejpam-4575	122	30	methods	method	NOUN
ejpam-4575	122	31	fr	fr	PROPN
ejpam-4575	122	32	algorithm	algorithm	PROPN
ejpam-4575	122	33	bn1	bn1	PROPN
ejpam-4575	122	34	(	(	PUNCT
ejpam-4575	122	35	16	16	NUM
ejpam-4575	122	36	)	)	PUNCT
ejpam-4575	122	37	bn2	bn2	NOUN
ejpam-4575	122	38	(	(	PUNCT
ejpam-4575	122	39	17	17	NUM
ejpam-4575	122	40	)	)	PUNCT
ejpam-4575	122	41	bn3	bn3	NOUN
ejpam-4575	122	42	(	(	PUNCT
ejpam-4575	122	43	18	18	NUM
ejpam-4575	122	44	)	)	PUNCT
ejpam-4575	123	1	p.	p.	NOUN
ejpam-4575	124	1	no	no	INTJ
ejpam-4575	124	2	.	.	PUNCT
ejpam-4575	125	1	n	n	CCONJ
ejpam-4575	125	2	ni	ni	PROPN
ejpam-4575	125	3	nf	nf	PROPN
ejpam-4575	125	4	ni	ni	PROPN
ejpam-4575	125	5	nf	nf	PROPN
ejpam-4575	125	6	ni	ni	PROPN
ejpam-4575	125	7	nf	nf	PROPN
ejpam-4575	125	8	ni	ni	PROPN
ejpam-4575	125	9	nf	nf	PROPN
ejpam-4575	125	10	1	1	NUM
ejpam-4575	125	11	100	100	NUM
ejpam-4575	125	12	19	19	NUM
ejpam-4575	125	13	35	35	NUM
ejpam-4575	125	14	18	18	NUM
ejpam-4575	125	15	33	33	NUM
ejpam-4575	125	16	18	18	NUM
ejpam-4575	125	17	33	33	NUM
ejpam-4575	125	18	18	18	NUM
ejpam-4575	125	19	34	34	NUM
ejpam-4575	125	20	1000	1000	NUM
ejpam-4575	125	21	38	38	NUM
ejpam-4575	125	22	65	65	NUM
ejpam-4575	125	23	32	32	NUM
ejpam-4575	125	24	57	57	NUM
ejpam-4575	125	25	34	34	NUM
ejpam-4575	125	26	62	62	NUM
ejpam-4575	125	27	38	38	NUM
ejpam-4575	125	28	65	65	NUM
ejpam-4575	125	29	2	2	NUM
ejpam-4575	125	30	100	100	NUM
ejpam-4575	126	1	47	47	NUM
ejpam-4575	126	2	93	93	NUM
ejpam-4575	126	3	40	40	NUM
ejpam-4575	126	4	80	80	NUM
ejpam-4575	126	5	40	40	NUM
ejpam-4575	126	6	82	82	NUM
ejpam-4575	126	7	42	42	NUM
ejpam-4575	126	8	90	90	NUM
ejpam-4575	126	9	1000	1000	NUM
ejpam-4575	126	10	78	78	NUM
ejpam-4575	126	11	131	131	NUM
ejpam-4575	126	12	37	37	NUM
ejpam-4575	126	13	78	78	NUM
ejpam-4575	126	14	34	34	NUM
ejpam-4575	126	15	74	74	NUM
ejpam-4575	126	16	39	39	NUM
ejpam-4575	126	17	85	85	NUM
ejpam-4575	126	18	3	3	NUM
ejpam-4575	126	19	100	100	NUM
ejpam-4575	126	20	61	61	NUM
ejpam-4575	126	21	1024	1024	NUM
ejpam-4575	126	22	47	47	NUM
ejpam-4575	126	23	665	665	NUM
ejpam-4575	126	24	25	25	NUM
ejpam-4575	126	25	43	43	NUM
ejpam-4575	126	26	28	28	NUM
ejpam-4575	126	27	46	46	NUM
ejpam-4575	126	28	1000	1000	NUM
ejpam-4575	126	29	fail	fail	VERB
ejpam-4575	126	30	fail	fail	VERB
ejpam-4575	126	31	fail	fail	ADV
ejpam-4575	126	32	fail	fail	VERB
ejpam-4575	126	33	fail	fail	VERB
ejpam-4575	126	34	fail	fail	VERB
ejpam-4575	126	35	fail	fail	VERB
ejpam-4575	126	36	fail	fail	VERB
ejpam-4575	126	37	4	4	NUM
ejpam-4575	126	38	100	100	NUM
ejpam-4575	126	39	32	32	NUM
ejpam-4575	126	40	64	64	NUM
ejpam-4575	126	41	10	10	NUM
ejpam-4575	126	42	21	21	NUM
ejpam-4575	126	43	10	10	NUM
ejpam-4575	126	44	21	21	NUM
ejpam-4575	126	45	13	13	NUM
ejpam-4575	126	46	27	27	NUM
ejpam-4575	126	47	1000	1000	NUM
ejpam-4575	126	48	77	77	NUM
ejpam-4575	126	49	129	129	NUM
ejpam-4575	126	50	16	16	NUM
ejpam-4575	126	51	31	31	NUM
ejpam-4575	126	52	16	16	NUM
ejpam-4575	126	53	31	31	NUM
ejpam-4575	126	54	15	15	NUM
ejpam-4575	126	55	31	31	NUM
ejpam-4575	126	56	5	5	NUM
ejpam-4575	126	57	100	100	NUM
ejpam-4575	126	58	37	37	NUM
ejpam-4575	126	59	67	67	NUM
ejpam-4575	126	60	40	40	NUM
ejpam-4575	126	61	63	63	NUM
ejpam-4575	126	62	40	40	NUM
ejpam-4575	126	63	63	63	NUM
ejpam-4575	126	64	44	44	NUM
ejpam-4575	126	65	70	70	NUM
ejpam-4575	126	66	1000	1000	NUM
ejpam-4575	126	67	73	73	NUM
ejpam-4575	126	68	115	115	NUM
ejpam-4575	126	69	65	65	NUM
ejpam-4575	126	70	102	102	NUM
ejpam-4575	126	71	67	67	NUM
ejpam-4575	126	72	107	107	NUM
ejpam-4575	126	73	61	61	NUM
ejpam-4575	126	74	98	98	NUM
ejpam-4575	126	75	6	6	NUM
ejpam-4575	126	76	100	100	NUM
ejpam-4575	126	77	15	15	NUM
ejpam-4575	126	78	31	31	NUM
ejpam-4575	126	79	8	8	NUM
ejpam-4575	126	80	17	17	NUM
ejpam-4575	126	81	8	8	NUM
ejpam-4575	126	82	17	17	NUM
ejpam-4575	126	83	8	8	NUM
ejpam-4575	126	84	17	17	NUM
ejpam-4575	126	85	1000	1000	NUM
ejpam-4575	126	86	8	8	NUM
ejpam-4575	126	87	17	17	NUM
ejpam-4575	126	88	7	7	NUM
ejpam-4575	126	89	15	15	NUM
ejpam-4575	126	90	7	7	NUM
ejpam-4575	126	91	15	15	NUM
ejpam-4575	126	92	7	7	NUM
ejpam-4575	126	93	15	15	NUM
ejpam-4575	126	94	7	7	NUM
ejpam-4575	126	95	100	100	NUM
ejpam-4575	126	96	40	40	NUM
ejpam-4575	126	97	65	65	NUM
ejpam-4575	126	98	35	35	NUM
ejpam-4575	126	99	56	56	NUM
ejpam-4575	126	100	37	37	NUM
ejpam-4575	126	101	58	58	NUM
ejpam-4575	126	102	36	36	NUM
ejpam-4575	126	103	56	56	NUM
ejpam-4575	126	104	1000	1000	NUM
ejpam-4575	126	105	43	43	NUM
ejpam-4575	126	106	68	68	NUM
ejpam-4575	126	107	49	49	NUM
ejpam-4575	126	108	382	382	NUM
ejpam-4575	126	109	39	39	NUM
ejpam-4575	126	110	59	59	NUM
ejpam-4575	126	111	42	42	NUM
ejpam-4575	126	112	65	65	NUM
ejpam-4575	126	113	8	8	NUM
ejpam-4575	126	114	100	100	NUM
ejpam-4575	126	115	69	69	NUM
ejpam-4575	126	116	1202	1202	NUM
ejpam-4575	126	117	45	45	NUM
ejpam-4575	126	118	637	637	NUM
ejpam-4575	126	119	38	38	NUM
ejpam-4575	126	120	364	364	NUM
ejpam-4575	126	121	26	26	NUM
ejpam-4575	126	122	48	48	NUM
ejpam-4575	126	123	1000	1000	NUM
ejpam-4575	126	124	98	98	NUM
ejpam-4575	126	125	1967	1967	NUM
ejpam-4575	126	126	65	65	NUM
ejpam-4575	126	127	1279	1279	NUM
ejpam-4575	126	128	43	43	NUM
ejpam-4575	126	129	440	440	NUM
ejpam-4575	126	130	33	33	NUM
ejpam-4575	126	131	257	257	NUM
ejpam-4575	126	132	9	9	NUM
ejpam-4575	126	133	100	100	NUM
ejpam-4575	126	134	671	671	NUM
ejpam-4575	126	135	1066	1066	NUM
ejpam-4575	126	136	441	441	NUM
ejpam-4575	126	137	689	689	NUM
ejpam-4575	126	138	480	480	NUM
ejpam-4575	126	139	763	763	NUM
ejpam-4575	126	140	612	612	NUM
ejpam-4575	126	141	982	982	NUM
ejpam-4575	126	142	1000	1000	NUM
ejpam-4575	126	143	fail	fail	NOUN
ejpam-4575	126	144	fail	fail	VERB
ejpam-4575	126	145	fail	fail	ADV
ejpam-4575	126	146	fail	fail	VERB
ejpam-4575	126	147	fail	fail	VERB
ejpam-4575	126	148	fail	fail	VERB
ejpam-4575	126	149	fail	fail	VERB
ejpam-4575	126	150	fail	fail	VERB
ejpam-4575	126	151	10	10	NUM
ejpam-4575	126	152	100	100	NUM
ejpam-4575	126	153	20	20	NUM
ejpam-4575	126	154	33	33	NUM
ejpam-4575	126	155	10	10	NUM
ejpam-4575	126	156	19	19	NUM
ejpam-4575	126	157	10	10	NUM
ejpam-4575	126	158	19	19	NUM
ejpam-4575	126	159	10	10	NUM
ejpam-4575	126	160	19	19	NUM
ejpam-4575	126	161	1000	1000	NUM
ejpam-4575	126	162	19	19	NUM
ejpam-4575	126	163	35	35	NUM
ejpam-4575	126	164	9	9	NUM
ejpam-4575	126	165	18	18	NUM
ejpam-4575	126	166	9	9	NUM
ejpam-4575	126	167	18	18	NUM
ejpam-4575	126	168	9	9	NUM
ejpam-4575	126	169	18	18	NUM
ejpam-4575	126	170	11	11	NUM
ejpam-4575	126	171	100	100	NUM
ejpam-4575	126	172	49	49	NUM
ejpam-4575	126	173	80	80	NUM
ejpam-4575	126	174	15	15	NUM
ejpam-4575	126	175	28	28	NUM
ejpam-4575	126	176	14	14	NUM
ejpam-4575	126	177	26	26	NUM
ejpam-4575	126	178	15	15	NUM
ejpam-4575	126	179	26	26	NUM
ejpam-4575	126	180	1000	1000	NUM
ejpam-4575	126	181	129	129	NUM
ejpam-4575	126	182	166	166	NUM
ejpam-4575	126	183	13	13	NUM
ejpam-4575	126	184	26	26	NUM
ejpam-4575	126	185	13	13	NUM
ejpam-4575	126	186	26	26	NUM
ejpam-4575	126	187	13	13	NUM
ejpam-4575	126	188	26	26	NUM
ejpam-4575	126	189	12	12	NUM
ejpam-4575	126	190	100	100	NUM
ejpam-4575	126	191	43	43	NUM
ejpam-4575	126	192	88	88	NUM
ejpam-4575	126	193	38	38	NUM
ejpam-4575	126	194	86	86	NUM
ejpam-4575	126	195	33	33	NUM
ejpam-4575	126	196	75	75	NUM
ejpam-4575	126	197	37	37	NUM
ejpam-4575	126	198	79	79	NUM
ejpam-4575	126	199	1000	1000	NUM
ejpam-4575	126	200	46	46	NUM
ejpam-4575	126	201	92	92	NUM
ejpam-4575	126	202	34	34	NUM
ejpam-4575	126	203	77	77	NUM
ejpam-4575	126	204	35	35	NUM
ejpam-4575	126	205	76	76	NUM
ejpam-4575	126	206	40	40	NUM
ejpam-4575	126	207	89	89	NUM
ejpam-4575	126	208	13	13	NUM
ejpam-4575	126	209	100	100	NUM
ejpam-4575	126	210	122	122	NUM
ejpam-4575	126	211	156	156	NUM
ejpam-4575	126	212	12	12	NUM
ejpam-4575	126	213	23	23	NUM
ejpam-4575	126	214	12	12	NUM
ejpam-4575	126	215	23	23	NUM
ejpam-4575	126	216	12	12	NUM
ejpam-4575	126	217	23	23	NUM
ejpam-4575	126	218	1000	1000	NUM
ejpam-4575	126	219	130	130	NUM
ejpam-4575	126	220	166	166	NUM
ejpam-4575	126	221	12	12	NUM
ejpam-4575	126	222	23	23	NUM
ejpam-4575	126	223	12	12	NUM
ejpam-4575	126	224	23	23	NUM
ejpam-4575	126	225	12	12	NUM
ejpam-4575	126	226	23	23	NUM
ejpam-4575	126	227	14	14	NUM
ejpam-4575	126	228	100	100	NUM
ejpam-4575	126	229	112	112	NUM
ejpam-4575	126	230	147	147	NUM
ejpam-4575	126	231	34	34	NUM
ejpam-4575	126	232	57	57	NUM
ejpam-4575	126	233	37	37	NUM
ejpam-4575	126	234	61	61	NUM
ejpam-4575	126	235	34	34	NUM
ejpam-4575	126	236	58	58	NUM
ejpam-4575	126	237	1000	1000	NUM
ejpam-4575	126	238	110	110	NUM
ejpam-4575	126	239	145	145	NUM
ejpam-4575	126	240	38	38	NUM
ejpam-4575	126	241	58	58	NUM
ejpam-4575	126	242	40	40	NUM
ejpam-4575	126	243	60	60	NUM
ejpam-4575	126	244	35	35	NUM
ejpam-4575	126	245	55	55	NUM
ejpam-4575	126	246	15	15	NUM
ejpam-4575	126	247	100	100	NUM
ejpam-4575	126	248	32	32	NUM
ejpam-4575	126	249	52	52	NUM
ejpam-4575	126	250	12	12	NUM
ejpam-4575	126	251	24	24	NUM
ejpam-4575	126	252	12	12	NUM
ejpam-4575	126	253	24	24	NUM
ejpam-4575	126	254	16	16	NUM
ejpam-4575	126	255	32	32	NUM
ejpam-4575	126	256	1000	1000	NUM
ejpam-4575	126	257	22	22	NUM
ejpam-4575	126	258	42	42	NUM
ejpam-4575	126	259	12	12	NUM
ejpam-4575	126	260	24	24	NUM
ejpam-4575	126	261	12	12	NUM
ejpam-4575	126	262	24	24	NUM
ejpam-4575	126	263	19	19	NUM
ejpam-4575	126	264	38	38	NUM
ejpam-4575	126	265	total	total	NOUN
ejpam-4575	126	266	2240	2240	NUM
ejpam-4575	126	267	7341	7341	NUM
ejpam-4575	126	268	1194	1194	NUM
ejpam-4575	126	269	4668	4668	NUM
ejpam-4575	126	270	1175	1175	NUM
ejpam-4575	126	271	2687	2687	NUM
ejpam-4575	126	272	1314	1314	NUM
ejpam-4575	126	273	2472	2472	NUM
ejpam-4575	126	274	the	the	DET
ejpam-4575	126	275	novel	novel	ADJ
ejpam-4575	126	276	procedure	procedure	NOUN
ejpam-4575	126	277	saves	save	VERB
ejpam-4575	126	278	ni	ni	PROPN
ejpam-4575	126	279	and	and	CCONJ
ejpam-4575	126	280	nf	nf	NOUN
ejpam-4575	126	281	over	over	ADP
ejpam-4575	126	282	time	time	NOUN
ejpam-4575	126	283	when	when	SCONJ
ejpam-4575	126	284	compared	compare	VERB
ejpam-4575	126	285	to	to	ADP
ejpam-4575	126	286	the	the	DET
ejpam-4575	126	287	conventional	conventional	ADJ
ejpam-4575	126	288	fletcher	fletcher	PROPN
ejpam-4575	126	289	and	and	CCONJ
ejpam-4575	126	290	reeves	reeves	PROPN
ejpam-4575	126	291	(	(	PUNCT
ejpam-4575	126	292	fr	fr	NOUN
ejpam-4575	126	293	)	)	PUNCT
ejpam-4575	126	294	methodology	methodology	NOUN
ejpam-4575	126	295	,	,	PUNCT
ejpam-4575	126	296	notably	notably	ADV
ejpam-4575	126	297	for	for	ADP
ejpam-4575	126	298	our	our	PRON
ejpam-4575	126	299	set	set	NOUN
ejpam-4575	126	300	of	of	ADP
ejpam-4575	126	301	test	test	NOUN
ejpam-4575	126	302	problems	problem	NOUN
ejpam-4575	126	303	,	,	PUNCT
ejpam-4575	126	304	as	as	SCONJ
ejpam-4575	126	305	demonstrated	demonstrate	VERB
ejpam-4575	126	306	in	in	ADP
ejpam-4575	126	307	table	table	NOUN
ejpam-4575	126	308	2	2	NUM
ejpam-4575	126	309	.	.	PUNCT
ejpam-4575	126	310	table	table	NOUN
ejpam-4575	126	311	1	1	NUM
ejpam-4575	126	312	compares	compare	VERB
ejpam-4575	126	313	the	the	DET
ejpam-4575	126	314	new	new	ADJ
ejpam-4575	126	315	methods	method	NOUN
ejpam-4575	126	316	to	to	ADP
ejpam-4575	126	317	the	the	DET
ejpam-4575	126	318	fletcher	fletcher	NOUN
ejpam-4575	126	319	and	and	CCONJ
ejpam-4575	126	320	reeves	reeve	NOUN
ejpam-4575	127	1	[	[	X
ejpam-4575	127	2	2	2	NUM
ejpam-4575	127	3	]	]	PUNCT
ejpam-4575	127	4	convex	convex	NOUN
ejpam-4575	127	5	optimization	optimization	NOUN
ejpam-4575	127	6	strategy	strategy	NOUN
ejpam-4575	127	7	.	.	PUNCT
ejpam-4575	128	1	references	reference	NOUN
ejpam-4575	128	2	1915	1915	NUM
ejpam-4575	128	3	table	table	NOUN
ejpam-4575	128	4	2	2	NUM
ejpam-4575	128	5	:	:	PUNCT
ejpam-4575	128	6	ratio	ratio	NOUN
ejpam-4575	128	7	of	of	ADP
ejpam-4575	128	8	algorithm	algorithm	PROPN
ejpam-4575	128	9	new	new	ADJ
ejpam-4575	128	10	cost	cost	NOUN
ejpam-4575	128	11	to	to	PART
ejpam-4575	128	12	hs	hs	PROPN
ejpam-4575	128	13	cost	cost	VERB
ejpam-4575	128	14	fr	fr	PROPN
ejpam-4575	128	15	algorithm	algorithm	PROPN
ejpam-4575	128	16	bn1	bn1	PROPN
ejpam-4575	128	17	(	(	PUNCT
ejpam-4575	128	18	16	16	NUM
ejpam-4575	128	19	)	)	PUNCT
ejpam-4575	128	20	bn2	bn2	NOUN
ejpam-4575	128	21	(	(	PUNCT
ejpam-4575	128	22	17	17	NUM
ejpam-4575	128	23	)	)	PUNCT
ejpam-4575	128	24	bn3	bn3	NOUN
ejpam-4575	128	25	(	(	PUNCT
ejpam-4575	128	26	18	18	NUM
ejpam-4575	128	27	)	)	PUNCT
ejpam-4575	128	28	ni	ni	NOUN
ejpam-4575	128	29	100	100	NUM
ejpam-4575	128	30	%	%	NOUN
ejpam-4575	128	31	53.30	53.30	NUM
ejpam-4575	128	32	%	%	NOUN
ejpam-4575	128	33	52.45	52.45	NUM
ejpam-4575	128	34	%	%	NOUN
ejpam-4575	128	35	58.66	58.66	NUM
ejpam-4575	128	36	%	%	NOUN
ejpam-4575	128	37	nf	nf	NOUN
ejpam-4575	128	38	100	100	NUM
ejpam-4575	128	39	%	%	NOUN
ejpam-4575	128	40	63.58	63.58	NUM
ejpam-4575	128	41	%	%	NOUN
ejpam-4575	128	42	36.60	36.60	NUM
ejpam-4575	128	43	%	%	NOUN
ejpam-4575	128	44	33.67	33.67	NUM
ejpam-4575	128	45	%	%	NOUN
ejpam-4575	128	46	5	5	NUM
ejpam-4575	128	47	.	.	PUNCT
ejpam-4575	128	48	final	final	ADJ
ejpam-4575	128	49	thoughts	thought	NOUN
ejpam-4575	128	50	in	in	ADP
ejpam-4575	128	51	this	this	DET
ejpam-4575	128	52	study	study	NOUN
ejpam-4575	128	53	,	,	PUNCT
ejpam-4575	128	54	we	we	PRON
ejpam-4575	128	55	provide	provide	VERB
ejpam-4575	128	56	a	a	DET
ejpam-4575	128	57	novel	novel	NOUN
ejpam-4575	128	58	,	,	PUNCT
ejpam-4575	128	59	globally	globally	ADV
ejpam-4575	128	60	convergent	convergent	ADJ
ejpam-4575	128	61	,	,	PUNCT
ejpam-4575	128	62	functional	functional	ADJ
ejpam-4575	128	63	nonlinear	nonlinear	ADJ
ejpam-4575	128	64	cg	cg	NOUN
ejpam-4575	128	65	method	method	NOUN
ejpam-4575	128	66	,	,	PUNCT
ejpam-4575	128	67	and	and	CCONJ
ejpam-4575	128	68	fulfills	fulfill	VERB
ejpam-4575	128	69	the	the	DET
ejpam-4575	128	70	descent	descent	NOUN
ejpam-4575	128	71	property	property	NOUN
ejpam-4575	128	72	under	under	ADP
ejpam-4575	128	73	certain	certain	ADJ
ejpam-4575	128	74	assumptions	assumption	NOUN
ejpam-4575	128	75	,	,	PUNCT
ejpam-4575	128	76	and	and	CCONJ
ejpam-4575	128	77	is	be	AUX
ejpam-4575	128	78	based	base	VERB
ejpam-4575	128	79	on	on	ADP
ejpam-4575	128	80	the	the	DET
ejpam-4575	128	81	strictly	strictly	ADV
ejpam-4575	128	82	convex	convex	ADJ
ejpam-4575	128	83	quadratic	quadratic	ADJ
ejpam-4575	128	84	function	function	NOUN
ejpam-4575	128	85	represented	represent	VERB
ejpam-4575	128	86	by	by	ADP
ejpam-4575	128	87	(	(	PUNCT
ejpam-4575	128	88	10	10	NUM
ejpam-4575	128	89	)	)	PUNCT
ejpam-4575	128	90	according	accord	VERB
ejpam-4575	128	91	to	to	ADP
ejpam-4575	128	92	computer	computer	NOUN
ejpam-4575	128	93	studies	study	NOUN
ejpam-4575	128	94	,	,	PUNCT
ejpam-4575	128	95	the	the	DET
ejpam-4575	128	96	unique	unique	ADJ
ejpam-4575	128	97	kinds	kind	NOUN
ejpam-4575	128	98	given	give	VERB
ejpam-4575	128	99	in	in	ADP
ejpam-4575	128	100	this	this	DET
ejpam-4575	128	101	study	study	NOUN
ejpam-4575	128	102	are	be	AUX
ejpam-4575	128	103	successful	successful	ADJ
ejpam-4575	128	104	.	.	PUNCT
ejpam-4575	129	1	references	reference	NOUN
ejpam-4575	129	2	[	[	X
ejpam-4575	129	3	1	1	NUM
ejpam-4575	129	4	]	]	PUNCT
ejpam-4575	129	5	yu	yu	PROPN
ejpam-4575	129	6	-	-	PROPN
ejpam-4575	129	7	hong	hong	PROPN
ejpam-4575	129	8	dai	dai	PROPN
ejpam-4575	129	9	and	and	CCONJ
ejpam-4575	129	10	yaxiang	yaxiang	PROPN
ejpam-4575	129	11	yuan	yuan	PROPN
ejpam-4575	129	12	.	.	PUNCT
ejpam-4575	130	1	a	a	DET
ejpam-4575	130	2	nonlinear	nonlinear	ADJ
ejpam-4575	130	3	conjugate	conjugate	ADJ
ejpam-4575	130	4	gradient	gradient	NOUN
ejpam-4575	130	5	method	method	NOUN
ejpam-4575	130	6	with	with	ADP
ejpam-4575	130	7	a	a	DET
ejpam-4575	130	8	strong	strong	ADJ
ejpam-4575	130	9	global	global	ADJ
ejpam-4575	130	10	convergence	convergence	NOUN
ejpam-4575	130	11	property	property	NOUN
ejpam-4575	130	12	.	.	PUNCT
ejpam-4575	131	1	siam	siam	PROPN
ejpam-4575	131	2	journal	journal	PROPN
ejpam-4575	131	3	on	on	ADP
ejpam-4575	131	4	optimization	optimization	NOUN
ejpam-4575	131	5	,	,	PUNCT
ejpam-4575	131	6	10:177–182	10:177–182	PROPN
ejpam-4575	131	7	,	,	PUNCT
ejpam-4575	131	8	1999	1999	NUM
ejpam-4575	131	9	.	.	PUNCT
ejpam-4575	132	1	[	[	X
ejpam-4575	132	2	2	2	X
ejpam-4575	132	3	]	]	PUNCT
ejpam-4575	132	4	reeves	reeves	PROPN
ejpam-4575	132	5	fletcher	fletcher	PROPN
ejpam-4575	132	6	and	and	CCONJ
ejpam-4575	132	7	colin	colin	PROPN
ejpam-4575	132	8	m	m	PROPN
ejpam-4575	132	9	reeves	reeves	PROPN
ejpam-4575	132	10	.	.	PUNCT
ejpam-4575	133	1	function	function	NOUN
ejpam-4575	133	2	minimization	minimization	NOUN
ejpam-4575	133	3	by	by	ADP
ejpam-4575	133	4	conjugate	conjugate	ADJ
ejpam-4575	133	5	gradients	gradient	NOUN
ejpam-4575	133	6	.	.	PUNCT
ejpam-4575	134	1	the	the	DET
ejpam-4575	134	2	computer	computer	NOUN
ejpam-4575	134	3	journal	journal	NOUN
ejpam-4575	134	4	,	,	PUNCT
ejpam-4575	134	5	7:149–154	7:149–154	PROPN
ejpam-4575	134	6	,	,	PUNCT
ejpam-4575	134	7	1964	1964	NUM
ejpam-4575	134	8	.	.	PUNCT
ejpam-4575	135	1	[	[	X
ejpam-4575	135	2	3	3	X
ejpam-4575	135	3	]	]	X
ejpam-4575	135	4	basim	basim	PROPN
ejpam-4575	135	5	a.	a.	PROPN
ejpam-4575	135	6	hassan	hassan	PROPN
ejpam-4575	135	7	.	.	PUNCT
ejpam-4575	136	1	a	a	DET
ejpam-4575	136	2	new	new	ADJ
ejpam-4575	136	3	formula	formula	NOUN
ejpam-4575	136	4	for	for	ADP
ejpam-4575	136	5	conjugate	conjugate	ADJ
ejpam-4575	136	6	parameter	parameter	NOUN
ejpam-4575	136	7	computation	computation	NOUN
ejpam-4575	136	8	based	base	VERB
ejpam-4575	136	9	on	on	ADP
ejpam-4575	136	10	the	the	DET
ejpam-4575	136	11	quadratic	quadratic	ADJ
ejpam-4575	136	12	model	model	NOUN
ejpam-4575	136	13	.	.	PUNCT
ejpam-4575	137	1	indonesian	indonesian	ADJ
ejpam-4575	137	2	journal	journal	PROPN
ejpam-4575	137	3	of	of	ADP
ejpam-4575	137	4	electrical	electrical	ADJ
ejpam-4575	137	5	engineering	engineering	NOUN
ejpam-4575	137	6	and	and	CCONJ
ejpam-4575	137	7	computer	computer	NOUN
ejpam-4575	137	8	science	science	NOUN
ejpam-4575	137	9	,	,	PUNCT
ejpam-4575	137	10	3:954–961	3:954–961	PROPN
ejpam-4575	137	11	,	,	PUNCT
ejpam-4575	137	12	2019	2019	NUM
ejpam-4575	137	13	.	.	PUNCT
ejpam-4575	138	1	[	[	X
ejpam-4575	138	2	4	4	X
ejpam-4575	138	3	]	]	X
ejpam-4575	138	4	basim	basim	PROPN
ejpam-4575	138	5	a.	a.	PROPN
ejpam-4575	138	6	hassan	hassan	PROPN
ejpam-4575	138	7	,	,	PUNCT
ejpam-4575	138	8	hussein	hussein	PROPN
ejpam-4575	138	9	o	o	X
ejpam-4575	138	10	dahawi	dahawi	VERB
ejpam-4575	138	11	,	,	PUNCT
ejpam-4575	138	12	and	and	CCONJ
ejpam-4575	138	13	azzam	azzam	PROPN
ejpam-4575	138	14	s	s	PROPN
ejpam-4575	138	15	younus	younus	NOUN
ejpam-4575	138	16	.	.	PUNCT
ejpam-4575	139	1	a	a	DET
ejpam-4575	139	2	new	new	ADJ
ejpam-4575	139	3	kind	kind	NOUN
ejpam-4575	139	4	of	of	ADP
ejpam-4575	139	5	parameter	parameter	NOUN
ejpam-4575	139	6	conjugate	conjugate	ADJ
ejpam-4575	139	7	gradient	gradient	NOUN
ejpam-4575	139	8	for	for	ADP
ejpam-4575	139	9	unconstrained	unconstrained	ADJ
ejpam-4575	139	10	optimization	optimization	NOUN
ejpam-4575	139	11	.	.	PUNCT
ejpam-4575	140	1	indonesian	indonesian	ADJ
ejpam-4575	140	2	journal	journal	PROPN
ejpam-4575	140	3	of	of	ADP
ejpam-4575	140	4	electrical	electrical	ADJ
ejpam-4575	140	5	engineering	engineering	NOUN
ejpam-4575	140	6	and	and	CCONJ
ejpam-4575	140	7	computer	computer	NOUN
ejpam-4575	140	8	science	science	NOUN
ejpam-4575	140	9	,	,	PUNCT
ejpam-4575	140	10	17:404	17:404	NUM
ejpam-4575	140	11	,	,	PUNCT
ejpam-4575	140	12	2020	2020	NUM
ejpam-4575	140	13	.	.	PUNCT
ejpam-4575	141	1	[	[	X
ejpam-4575	141	2	5	5	X
ejpam-4575	141	3	]	]	X
ejpam-4575	141	4	basim	basim	PROPN
ejpam-4575	141	5	a.	a.	PROPN
ejpam-4575	141	6	hassan	hassan	PROPN
ejpam-4575	141	7	,	,	PUNCT
ejpam-4575	141	8	kanikar	kanikar	PROPN
ejpam-4575	141	9	muangchoo	muangchoo	PROPN
ejpam-4575	141	10	,	,	PUNCT
ejpam-4575	141	11	fadhil	fadhil	NOUN
ejpam-4575	141	12	alfarag	alfarag	PROPN
ejpam-4575	141	13	,	,	PUNCT
ejpam-4575	141	14	abdulkarim	abdulkarim	NOUN
ejpam-4575	141	15	hassan	hassan	PROPN
ejpam-4575	141	16	ibrahim	ibrahim	PROPN
ejpam-4575	141	17	,	,	PUNCT
ejpam-4575	141	18	and	and	CCONJ
ejpam-4575	141	19	auwal	auwal	PROPN
ejpam-4575	141	20	bala	bala	PROPN
ejpam-4575	141	21	abubakar	abubakar	PROPN
ejpam-4575	141	22	.	.	PUNCT
ejpam-4575	142	1	an	an	DET
ejpam-4575	142	2	improved	improved	ADJ
ejpam-4575	142	3	quasi	quasi	NOUN
ejpam-4575	142	4	-	-	ADJ
ejpam-4575	142	5	newton	newton	PROPN
ejpam-4575	142	6	equation	equation	NOUN
ejpam-4575	142	7	on	on	ADP
ejpam-4575	142	8	the	the	DET
ejpam-4575	142	9	quasi	quasi	PROPN
ejpam-4575	142	10	-	-	ADJ
ejpam-4575	142	11	newton	newton	PROPN
ejpam-4575	142	12	methods	method	NOUN
ejpam-4575	142	13	for	for	ADP
ejpam-4575	142	14	unconstrained	unconstrained	ADJ
ejpam-4575	142	15	optimizations	optimization	NOUN
ejpam-4575	142	16	.	.	PUNCT
ejpam-4575	143	1	indonesian	indonesian	ADJ
ejpam-4575	143	2	journal	journal	PROPN
ejpam-4575	143	3	of	of	ADP
ejpam-4575	143	4	electrical	electrical	ADJ
ejpam-4575	143	5	engineering	engineering	NOUN
ejpam-4575	143	6	and	and	CCONJ
ejpam-4575	143	7	computer	computer	NOUN
ejpam-4575	143	8	science	science	NOUN
ejpam-4575	143	9	,	,	PUNCT
ejpam-4575	143	10	22:389–397	22:389–397	NUM
ejpam-4575	143	11	,	,	PUNCT
ejpam-4575	143	12	2020	2020	NUM
ejpam-4575	143	13	.	.	PUNCT
ejpam-4575	144	1	[	[	X
ejpam-4575	144	2	6	6	NUM
ejpam-4575	144	3	]	]	X
ejpam-4575	144	4	basim	basim	PROPN
ejpam-4575	144	5	a.	a.	PROPN
ejpam-4575	144	6	hassan	hassan	PROPN
ejpam-4575	144	7	and	and	CCONJ
ejpam-4575	144	8	rm	rm	PROPN
ejpam-4575	144	9	sulaiman	sulaiman	PROPN
ejpam-4575	144	10	.	.	PUNCT
ejpam-4575	145	1	a	a	DET
ejpam-4575	145	2	new	new	ADJ
ejpam-4575	145	3	class	class	NOUN
ejpam-4575	145	4	of	of	ADP
ejpam-4575	145	5	self	self	NOUN
ejpam-4575	145	6	-	-	PUNCT
ejpam-4575	145	7	scaling	scaling	NOUN
ejpam-4575	145	8	for	for	ADP
ejpam-4575	145	9	quasi	quasi	NOUN
ejpam-4575	145	10	-	-	ADJ
ejpam-4575	145	11	newton	newton	PROPN
ejpam-4575	145	12	method	method	NOUN
ejpam-4575	145	13	based	base	VERB
ejpam-4575	145	14	on	on	ADP
ejpam-4575	145	15	the	the	DET
ejpam-4575	145	16	quadratic	quadratic	ADJ
ejpam-4575	145	17	model	model	NOUN
ejpam-4575	145	18	.	.	PUNCT
ejpam-4575	146	1	indonesian	indonesian	ADJ
ejpam-4575	146	2	journal	journal	PROPN
ejpam-4575	146	3	of	of	ADP
ejpam-4575	146	4	electrical	electrical	ADJ
ejpam-4575	146	5	engineering	engineering	NOUN
ejpam-4575	146	6	and	and	CCONJ
ejpam-4575	146	7	computer	computer	NOUN
ejpam-4575	146	8	science	science	NOUN
ejpam-4575	146	9	,	,	PUNCT
ejpam-4575	146	10	21:1830–1836	21:1830–1836	NUM
ejpam-4575	146	11	,	,	PUNCT
ejpam-4575	146	12	2021	2021	NUM
ejpam-4575	146	13	.	.	PUNCT
ejpam-4575	147	1	[	[	X
ejpam-4575	147	2	7	7	NUM
ejpam-4575	147	3	]	]	SYM
ejpam-4575	147	4	hawraz	hawraz	NOUN
ejpam-4575	147	5	n	n	CCONJ
ejpam-4575	147	6	jabbar	jabbar	NOUN
ejpam-4575	147	7	and	and	CCONJ
ejpam-4575	147	8	basim	basim	PROPN
ejpam-4575	147	9	a	a	DET
ejpam-4575	147	10	hassan	hassan	PROPN
ejpam-4575	147	11	.	.	PUNCT
ejpam-4575	148	1	two	two	NUM
ejpam-4575	148	2	-	-	PUNCT
ejpam-4575	148	3	versions	version	NOUN
ejpam-4575	148	4	of	of	ADP
ejpam-4575	148	5	descent	descent	NOUN
ejpam-4575	148	6	conjugate	conjugate	ADJ
ejpam-4575	148	7	gradient	gradient	ADJ
ejpam-4575	148	8	methods	method	NOUN
ejpam-4575	148	9	for	for	ADP
ejpam-4575	148	10	large	large	ADJ
ejpam-4575	148	11	-	-	PUNCT
ejpam-4575	148	12	scale	scale	NOUN
ejpam-4575	148	13	unconstrained	unconstrained	ADJ
ejpam-4575	148	14	optimization	optimization	NOUN
ejpam-4575	148	15	.	.	PUNCT
ejpam-4575	149	1	indonesian	indonesian	ADJ
ejpam-4575	149	2	journal	journal	PROPN
ejpam-4575	149	3	of	of	ADP
ejpam-4575	149	4	electrical	electrical	ADJ
ejpam-4575	149	5	engineering	engineering	NOUN
ejpam-4575	149	6	and	and	CCONJ
ejpam-4575	149	7	computer	computer	NOUN
ejpam-4575	149	8	science	science	NOUN
ejpam-4575	149	9	,	,	PUNCT
ejpam-4575	149	10	22:1643	22:1643	NUM
ejpam-4575	149	11	,	,	PUNCT
ejpam-4575	149	12	2021	2021	NUM
ejpam-4575	149	13	.	.	PUNCT
ejpam-4575	150	1	[	[	X
ejpam-4575	150	2	8	8	NUM
ejpam-4575	150	3	]	]	X
ejpam-4575	150	4	xian	xian	NOUN
ejpam-4575	150	5	-	-	PUNCT
ejpam-4575	150	6	zhen	zhen	PROPN
ejpam-4575	150	7	jiang	jiang	PROPN
ejpam-4575	150	8	and	and	CCONJ
ejpam-4575	150	9	jin	jin	PROPN
ejpam-4575	150	10	-	-	PUNCT
ejpam-4575	150	11	bao	bao	PROPN
ejpam-4575	150	12	jian	jian	PROPN
ejpam-4575	150	13	.	.	PUNCT
ejpam-4575	151	1	a	a	DET
ejpam-4575	151	2	sufficient	sufficient	ADJ
ejpam-4575	151	3	descent	descent	NOUN
ejpam-4575	151	4	dai	dai	PROPN
ejpam-4575	151	5	–	–	PROPN
ejpam-4575	151	6	yuan	yuan	NOUN
ejpam-4575	151	7	type	type	NOUN
ejpam-4575	151	8	nonlinear	nonlinear	ADJ
ejpam-4575	151	9	conjugate	conjugate	ADJ
ejpam-4575	151	10	gradient	gradient	NOUN
ejpam-4575	151	11	method	method	NOUN
ejpam-4575	151	12	for	for	ADP
ejpam-4575	151	13	unconstrained	unconstrained	ADJ
ejpam-4575	151	14	optimization	optimization	NOUN
ejpam-4575	151	15	problems	problem	NOUN
ejpam-4575	151	16	.	.	PUNCT
ejpam-4575	152	1	nonlinear	nonlinear	ADJ
ejpam-4575	152	2	dynamics	dynamic	NOUN
ejpam-4575	152	3	,	,	PUNCT
ejpam-4575	152	4	72:101–112	72:101–112	PROPN
ejpam-4575	152	5	,	,	PUNCT
ejpam-4575	152	6	2013	2013	NUM
ejpam-4575	152	7	.	.	PUNCT
ejpam-4575	153	1	references	reference	NOUN
ejpam-4575	153	2	1916	1916	NUM
ejpam-4575	154	1	[	[	X
ejpam-4575	154	2	9	9	NUM
ejpam-4575	154	3	]	]	PUNCT
ejpam-4575	154	4	jorge	jorge	NOUN
ejpam-4575	154	5	nocedal	nocedal	PROPN
ejpam-4575	154	6	and	and	CCONJ
ejpam-4575	154	7	stephen	stephen	PROPN
ejpam-4575	154	8	j	j	PROPN
ejpam-4575	154	9	wright	wright	PROPN
ejpam-4575	154	10	.	.	PUNCT
ejpam-4575	155	1	numerical	numerical	PROPN
ejpam-4575	155	2	optimization	optimization	PROPN
ejpam-4575	155	3	,	,	PUNCT
ejpam-4575	155	4	springer	springer	NOUN
ejpam-4575	155	5	series	series	NOUN
ejpam-4575	155	6	in	in	ADP
ejpam-4575	155	7	operations	operation	NOUN
ejpam-4575	155	8	research	research	NOUN
ejpam-4575	155	9	.	.	PUNCT
ejpam-4575	156	1	siam	siam	PROPN
ejpam-4575	156	2	j	j	PROPN
ejpam-4575	156	3	optimization	optimization	NOUN
ejpam-4575	156	4	,	,	PUNCT
ejpam-4575	156	5	2006	2006	NUM
ejpam-4575	156	6	.	.	PUNCT
ejpam-4575	157	1	[	[	X
ejpam-4575	157	2	10	10	NUM
ejpam-4575	157	3	]	]	X
ejpam-4575	157	4	g	g	PROPN
ejpam-4575	157	5	ribière	ribière	PROPN
ejpam-4575	157	6	and	and	CCONJ
ejpam-4575	157	7	e	e	PROPN
ejpam-4575	157	8	polak	polak	PROPN
ejpam-4575	157	9	.	.	PUNCT
ejpam-4575	158	1	note	note	VERB
ejpam-4575	158	2	sur	sur	PROPN
ejpam-4575	158	3	la	la	X
ejpam-4575	158	4	convergence	convergence	NOUN
ejpam-4575	158	5	de	de	X
ejpam-4575	158	6	directions	direction	NOUN
ejpam-4575	158	7	conjugées	conjugée	NOUN
ejpam-4575	158	8	.	.	PUNCT
ejpam-4575	159	1	rev	rev	PROPN
ejpam-4575	159	2	.	.	PROPN
ejpam-4575	160	1	francaise	francaise	PROPN
ejpam-4575	160	2	informat	informat	PROPN
ejpam-4575	160	3	recherche	recherche	PROPN
ejpam-4575	160	4	opertionelle	opertionelle	PROPN
ejpam-4575	160	5	,	,	PUNCT
ejpam-4575	160	6	16:35–43	16:35–43	NUM
ejpam-4575	160	7	,	,	PUNCT
ejpam-4575	160	8	1969	1969	NUM
ejpam-4575	160	9	.	.	PUNCT
ejpam-4575	161	1	[	[	X
ejpam-4575	161	2	11	11	NUM
ejpam-4575	161	3	]	]	X
ejpam-4575	161	4	ahmet	ahmet	PROPN
ejpam-4575	161	5	sahiner	sahiner	PROPN
ejpam-4575	161	6	,	,	PUNCT
ejpam-4575	161	7	i̇dris	i̇dris	X
ejpam-4575	161	8	a	a	DET
ejpam-4575	161	9	masoud	masoud	PROPN
ejpam-4575	161	10	abdulhamid	abdulhamid	PROPN
ejpam-4575	161	11	,	,	PUNCT
ejpam-4575	161	12	and	and	CCONJ
ejpam-4575	161	13	shehab	shehab	PROPN
ejpam-4575	161	14	a	a	DET
ejpam-4575	161	15	ibrahem	ibrahem	NOUN
ejpam-4575	161	16	.	.	PUNCT
ejpam-4575	162	1	a	a	DET
ejpam-4575	162	2	new	new	ADJ
ejpam-4575	162	3	filled	fill	VERB
ejpam-4575	162	4	function	function	NOUN
ejpam-4575	162	5	method	method	NOUN
ejpam-4575	162	6	with	with	ADP
ejpam-4575	162	7	two	two	NUM
ejpam-4575	162	8	parameters	parameter	NOUN
ejpam-4575	162	9	in	in	ADP
ejpam-4575	162	10	a	a	DET
ejpam-4575	162	11	directional	directional	ADJ
ejpam-4575	162	12	search	search	NOUN
ejpam-4575	162	13	.	.	PUNCT
ejpam-4575	163	1	journal	journal	NOUN
ejpam-4575	163	2	of	of	ADP
ejpam-4575	163	3	multidisciplinary	multidisciplinary	ADJ
ejpam-4575	163	4	modeling	modeling	NOUN
ejpam-4575	163	5	and	and	CCONJ
ejpam-4575	163	6	optimization	optimization	NOUN
ejpam-4575	163	7	,	,	PUNCT
ejpam-4575	163	8	2:34–42	2:34–42	NUM
ejpam-4575	163	9	,	,	PUNCT
ejpam-4575	163	10	2019	2019	NUM
ejpam-4575	163	11	.	.	PUNCT
ejpam-4575	164	1	[	[	X
ejpam-4575	164	2	12	12	NUM
ejpam-4575	164	3	]	]	X
ejpam-4575	164	4	ahmet	ahmet	NOUN
ejpam-4575	164	5	sahiner	sahiner	NOUN
ejpam-4575	164	6	and	and	CCONJ
ejpam-4575	164	7	shehab	shehab	PROPN
ejpam-4575	164	8	a	a	DET
ejpam-4575	164	9	ibrahem	ibrahem	NOUN
ejpam-4575	164	10	.	.	PUNCT
ejpam-4575	165	1	a	a	DET
ejpam-4575	165	2	new	new	ADJ
ejpam-4575	165	3	global	global	ADJ
ejpam-4575	165	4	optimization	optimization	NOUN
ejpam-4575	165	5	technique	technique	NOUN
ejpam-4575	165	6	by	by	ADP
ejpam-4575	165	7	auxiliary	auxiliary	ADJ
ejpam-4575	165	8	function	function	NOUN
ejpam-4575	165	9	method	method	NOUN
ejpam-4575	165	10	in	in	ADP
ejpam-4575	165	11	a	a	DET
ejpam-4575	165	12	directional	directional	ADJ
ejpam-4575	165	13	search	search	NOUN
ejpam-4575	165	14	.	.	PUNCT
ejpam-4575	166	1	optimization	optimization	NOUN
ejpam-4575	166	2	letters	letter	NOUN
ejpam-4575	166	3	,	,	PUNCT
ejpam-4575	166	4	13:309–323	13:309–323	PROPN
ejpam-4575	166	5	,	,	PUNCT
ejpam-4575	166	6	2019	2019	NUM
ejpam-4575	166	7	.	.	PUNCT
ejpam-4575	167	1	[	[	X
ejpam-4575	167	2	13	13	NUM
ejpam-4575	167	3	]	]	PUNCT
ejpam-4575	167	4	wei	wei	PROPN
ejpam-4575	167	5	xue	xue	PROPN
ejpam-4575	167	6	,	,	PUNCT
ejpam-4575	167	7	junhong	junhong	PROPN
ejpam-4575	167	8	ren	ren	PROPN
ejpam-4575	167	9	,	,	PUNCT
ejpam-4575	167	10	xiao	xiao	PROPN
ejpam-4575	167	11	zheng	zheng	PROPN
ejpam-4575	167	12	,	,	PUNCT
ejpam-4575	167	13	zhi	zhi	PROPN
ejpam-4575	167	14	liu	liu	PROPN
ejpam-4575	167	15	,	,	PUNCT
ejpam-4575	167	16	and	and	CCONJ
ejpam-4575	167	17	yueyong	yueyong	PROPN
ejpam-4575	167	18	liang	liang	PROPN
ejpam-4575	167	19	.	.	PUNCT
ejpam-4575	168	1	a	a	DET
ejpam-4575	168	2	new	new	ADJ
ejpam-4575	168	3	dy	dy	NOUN
ejpam-4575	168	4	conjugate	conjugate	ADJ
ejpam-4575	168	5	gradient	gradient	NOUN
ejpam-4575	168	6	method	method	NOUN
ejpam-4575	168	7	and	and	CCONJ
ejpam-4575	168	8	applications	application	NOUN
ejpam-4575	168	9	to	to	PART
ejpam-4575	168	10	image	image	VERB
ejpam-4575	168	11	denoising	denoise	VERB
ejpam-4575	168	12	.	.	PUNCT
ejpam-4575	169	1	ieice	ieice	NOUN
ejpam-4575	169	2	transactions	transaction	NOUN
ejpam-4575	169	3	on	on	ADP
ejpam-4575	169	4	information	information	NOUN
ejpam-4575	169	5	and	and	CCONJ
ejpam-4575	169	6	systems	system	NOUN
ejpam-4575	169	7	,	,	PUNCT
ejpam-4575	169	8	101:2984–2990	101:2984–2990	NUM
ejpam-4575	169	9	,	,	PUNCT
ejpam-4575	169	10	2018	2018	NUM
ejpam-4575	169	11	.	.	PUNCT
ejpam-4575	170	1	[	[	X
ejpam-4575	170	2	14	14	NUM
ejpam-4575	170	3	]	]	PUNCT
ejpam-4575	170	4	n	n	PRON
ejpam-4575	170	5	yasushi	yasushi	NOUN
ejpam-4575	170	6	and	and	CCONJ
ejpam-4575	170	7	i	i	PROPN
ejpam-4575	170	8	hideaki	hideaki	NOUN
ejpam-4575	170	9	.	.	PUNCT
ejpam-4575	171	1	conjugate	conjugate	ADJ
ejpam-4575	171	2	gradient	gradient	ADJ
ejpam-4575	171	3	methods	method	NOUN
ejpam-4575	171	4	using	use	VERB
ejpam-4575	171	5	value	value	NOUN
ejpam-4575	171	6	of	of	ADP
ejpam-4575	171	7	objective	objective	ADJ
ejpam-4575	171	8	function	function	NOUN
ejpam-4575	171	9	for	for	ADP
ejpam-4575	171	10	unconstrained	unconstrained	ADJ
ejpam-4575	171	11	optimization	optimization	NOUN
ejpam-4575	171	12	optimization	optimization	NOUN
ejpam-4575	171	13	letters	letter	NOUN
ejpam-4575	171	14	.	.	PUNCT
ejpam-4575	172	1	v	v	NOUN
ejpam-4575	172	2	,	,	PUNCT
ejpam-4575	172	3	6:941–955	6:941–955	PROPN
ejpam-4575	172	4	,	,	PUNCT
ejpam-4575	172	5	2011	2011	NUM
ejpam-4575	172	6	.	.	PUNCT
ejpam-4575	173	1	[	[	X
ejpam-4575	173	2	15	15	NUM
ejpam-4575	173	3	]	]	X
ejpam-4575	173	4	gaohang	gaohang	PROPN
ejpam-4575	173	5	yu	yu	PROPN
ejpam-4575	173	6	,	,	PUNCT
ejpam-4575	173	7	jinhong	jinhong	PROPN
ejpam-4575	173	8	huang	huang	PROPN
ejpam-4575	173	9	,	,	PUNCT
ejpam-4575	173	10	and	and	CCONJ
ejpam-4575	173	11	yi	yi	PROPN
ejpam-4575	173	12	zhou	zhou	PROPN
ejpam-4575	173	13	.	.	PUNCT
ejpam-4575	174	1	a	a	DET
ejpam-4575	174	2	descent	descent	NOUN
ejpam-4575	174	3	spectral	spectral	ADJ
ejpam-4575	174	4	conjugate	conjugate	ADJ
ejpam-4575	174	5	gradient	gradient	NOUN
ejpam-4575	174	6	method	method	NOUN
ejpam-4575	174	7	for	for	ADP
ejpam-4575	174	8	impulse	impulse	ADJ
ejpam-4575	174	9	noise	noise	NOUN
ejpam-4575	174	10	removal	removal	NOUN
ejpam-4575	174	11	.	.	PUNCT
ejpam-4575	175	1	applied	apply	VERB
ejpam-4575	175	2	mathematics	mathematics	NOUN
ejpam-4575	175	3	letters	letter	NOUN
ejpam-4575	175	4	,	,	PUNCT
ejpam-4575	175	5	23:555–560	23:555–560	PROPN
ejpam-4575	175	6	,	,	PUNCT
ejpam-4575	175	7	2010	2010	NUM
ejpam-4575	175	8	.	.	PUNCT
ejpam-4575	176	1	[	[	X
ejpam-4575	176	2	16	16	NUM
ejpam-4575	176	3	]	]	X
ejpam-4575	176	4	g	g	PROPN
ejpam-4575	176	5	zoutendijk	zoutendijk	PROPN
ejpam-4575	176	6	.	.	PUNCT
ejpam-4575	177	1	nonlinear	nonlinear	ADJ
ejpam-4575	177	2	programming	programming	NOUN
ejpam-4575	177	3	,	,	PUNCT
ejpam-4575	177	4	computational	computational	ADJ
ejpam-4575	177	5	methods	method	NOUN
ejpam-4575	177	6	.	.	PUNCT
ejpam-4575	178	1	integer	integer	NOUN
ejpam-4575	178	2	and	and	CCONJ
ejpam-4575	178	3	nonlinear	nonlinear	ADJ
ejpam-4575	178	4	programming	programming	NOUN
ejpam-4575	178	5	,	,	PUNCT
ejpam-4575	178	6	pages	page	NOUN
ejpam-4575	178	7	37–86	37–86	NUM
ejpam-4575	178	8	,	,	PUNCT
ejpam-4575	178	9	1970	1970	NUM
ejpam-4575	178	10	.	.	PUNCT