id	sid	tid	token	lemma	pos
ejpam-4579	1	1	european	european	PROPN
ejpam-4579	1	2	journal	journal	PROPN
ejpam-4579	1	3	of	of	ADP
ejpam-4579	1	4	pure	pure	ADJ
ejpam-4579	1	5	and	and	CCONJ
ejpam-4579	1	6	applied	apply	VERB
ejpam-4579	1	7	mathematics	mathematic	NOUN
ejpam-4579	1	8	vol	vol	NOUN
ejpam-4579	1	9	.	.	PROPN
ejpam-4579	2	1	15	15	NUM
ejpam-4579	2	2	,	,	PUNCT
ejpam-4579	2	3	no	no	INTJ
ejpam-4579	2	4	.	.	NOUN
ejpam-4579	2	5	4	4	NUM
ejpam-4579	2	6	,	,	PUNCT
ejpam-4579	2	7	2022	2022	NUM
ejpam-4579	2	8	,	,	PUNCT
ejpam-4579	2	9	2043	2043	NUM
ejpam-4579	2	10	-	-	SYM
ejpam-4579	2	11	2053	2053	NUM
ejpam-4579	2	12	issn	issn	PROPN
ejpam-4579	2	13	1307	1307	NUM
ejpam-4579	2	14	-	-	SYM
ejpam-4579	2	15	5543	5543	NUM
ejpam-4579	2	16	–	–	PUNCT
ejpam-4579	2	17	ejpam.com	ejpam.com	X
ejpam-4579	2	18	published	publish	VERB
ejpam-4579	2	19	by	by	ADP
ejpam-4579	2	20	new	new	PROPN
ejpam-4579	2	21	york	york	PROPN
ejpam-4579	2	22	business	business	PROPN
ejpam-4579	3	1	global	global	PROPN
ejpam-4579	3	2	a	a	DET
ejpam-4579	3	3	new	new	ADJ
ejpam-4579	3	4	type	type	NOUN
ejpam-4579	3	5	coefficient	coefficient	NOUN
ejpam-4579	3	6	conjugate	conjugate	ADJ
ejpam-4579	3	7	on	on	ADP
ejpam-4579	3	8	the	the	DET
ejpam-4579	3	9	gradient	gradient	ADJ
ejpam-4579	3	10	methods	method	NOUN
ejpam-4579	3	11	for	for	ADP
ejpam-4579	3	12	impulse	impulse	ADJ
ejpam-4579	3	13	noise	noise	NOUN
ejpam-4579	3	14	removal	removal	NOUN
ejpam-4579	3	15	in	in	ADP
ejpam-4579	3	16	images	image	NOUN
ejpam-4579	3	17	basim	basim	PROPN
ejpam-4579	3	18	a.	a.	PROPN
ejpam-4579	3	19	hassan1,∗	hassan1,∗	PROPN
ejpam-4579	3	20	,	,	PUNCT
ejpam-4579	3	21	haneen	haneen	NOUN
ejpam-4579	3	22	a.	a.	NOUN
ejpam-4579	3	23	alashoor2	alashoor2	NOUN
ejpam-4579	3	24	1	1	NUM
ejpam-4579	3	25	department	department	NOUN
ejpam-4579	3	26	of	of	ADP
ejpam-4579	3	27	mathematics	mathematic	NOUN
ejpam-4579	3	28	,	,	PUNCT
ejpam-4579	3	29	college	college	NOUN
ejpam-4579	3	30	of	of	ADP
ejpam-4579	3	31	computers	computer	NOUN
ejpam-4579	3	32	sciences	sciences	PROPN
ejpam-4579	3	33	and	and	CCONJ
ejpam-4579	3	34	mathematics	mathematic	NOUN
ejpam-4579	3	35	,	,	PUNCT
ejpam-4579	3	36	university	university	PROPN
ejpam-4579	3	37	of	of	ADP
ejpam-4579	3	38	mosul	mosul	PROPN
ejpam-4579	3	39	,	,	PUNCT
ejpam-4579	3	40	iraq	iraq	PROPN
ejpam-4579	3	41	abstract	abstract	NOUN
ejpam-4579	3	42	.	.	PUNCT
ejpam-4579	4	1	the	the	DET
ejpam-4579	4	2	conjugate	conjugate	ADJ
ejpam-4579	4	3	gradient	gradient	NOUN
ejpam-4579	4	4	methods	method	NOUN
ejpam-4579	4	5	are	be	AUX
ejpam-4579	4	6	outstanding	outstanding	ADJ
ejpam-4579	4	7	by	by	ADP
ejpam-4579	4	8	choosing	choose	VERB
ejpam-4579	4	9	a	a	DET
ejpam-4579	4	10	suitable	suitable	ADJ
ejpam-4579	4	11	for	for	ADP
ejpam-4579	4	12	coefficient	coefficient	NOUN
ejpam-4579	4	13	conjugate	conjugate	NOUN
ejpam-4579	4	14	.	.	PUNCT
ejpam-4579	5	1	in	in	ADP
ejpam-4579	5	2	this	this	DET
ejpam-4579	5	3	paper	paper	NOUN
ejpam-4579	5	4	,	,	PUNCT
ejpam-4579	5	5	a	a	DET
ejpam-4579	5	6	modified	modify	VERB
ejpam-4579	5	7	version	version	NOUN
ejpam-4579	5	8	of	of	ADP
ejpam-4579	5	9	the	the	DET
ejpam-4579	5	10	conjugate	conjugate	ADJ
ejpam-4579	5	11	gradient	gradient	ADJ
ejpam-4579	5	12	algorithm	algorithm	NOUN
ejpam-4579	5	13	suggested	suggest	VERB
ejpam-4579	5	14	by	by	ADP
ejpam-4579	5	15	hideaki	hideaki	NOUN
ejpam-4579	5	16	and	and	CCONJ
ejpam-4579	5	17	yasushi	yasushi	NOUN
ejpam-4579	6	1	[	[	X
ejpam-4579	6	2	4	4	X
ejpam-4579	6	3	]	]	PUNCT
ejpam-4579	6	4	is	be	AUX
ejpam-4579	6	5	proposed	propose	VERB
ejpam-4579	6	6	in	in	ADP
ejpam-4579	6	7	order	order	NOUN
ejpam-4579	6	8	to	to	PART
ejpam-4579	6	9	show	show	VERB
ejpam-4579	6	10	that	that	SCONJ
ejpam-4579	6	11	the	the	DET
ejpam-4579	6	12	new	new	ADJ
ejpam-4579	6	13	method	method	NOUN
ejpam-4579	6	14	is	be	AUX
ejpam-4579	6	15	globally	globally	ADV
ejpam-4579	6	16	convergent	convergent	ADJ
ejpam-4579	6	17	,	,	PUNCT
ejpam-4579	6	18	under	under	ADP
ejpam-4579	6	19	standard	standard	ADJ
ejpam-4579	6	20	assumptions	assumption	NOUN
ejpam-4579	6	21	.	.	PUNCT
ejpam-4579	7	1	to	to	PART
ejpam-4579	7	2	exemplify	exemplify	VERB
ejpam-4579	7	3	the	the	DET
ejpam-4579	7	4	efficiency	efficiency	NOUN
ejpam-4579	7	5	of	of	ADP
ejpam-4579	7	6	the	the	DET
ejpam-4579	7	7	new	new	ADJ
ejpam-4579	7	8	method	method	NOUN
ejpam-4579	7	9	,	,	PUNCT
ejpam-4579	7	10	its	its	PRON
ejpam-4579	7	11	performance	performance	NOUN
ejpam-4579	7	12	is	be	AUX
ejpam-4579	7	13	examined	examine	VERB
ejpam-4579	7	14	for	for	ADP
ejpam-4579	7	15	impulse	impulse	ADJ
ejpam-4579	7	16	noise	noise	NOUN
ejpam-4579	7	17	removal	removal	NOUN
ejpam-4579	7	18	in	in	ADP
ejpam-4579	7	19	images	image	NOUN
ejpam-4579	7	20	.	.	PUNCT
ejpam-4579	8	1	2020	2020	NUM
ejpam-4579	8	2	mathematics	mathematic	NOUN
ejpam-4579	8	3	subject	subject	NOUN
ejpam-4579	8	4	classifications	classification	NOUN
ejpam-4579	8	5	:	:	PUNCT
ejpam-4579	8	6	90c30	90c30	NUM
ejpam-4579	8	7	,	,	PUNCT
ejpam-4579	8	8	65k05	65k05	NUM
ejpam-4579	8	9	,	,	PUNCT
ejpam-4579	8	10	49m37	49m37	NUM
ejpam-4579	8	11	key	key	ADJ
ejpam-4579	8	12	words	word	NOUN
ejpam-4579	8	13	and	and	CCONJ
ejpam-4579	8	14	phrases	phrase	NOUN
ejpam-4579	8	15	:	:	PUNCT
ejpam-4579	8	16	derivative	derivative	ADJ
ejpam-4579	8	17	coefficient	coefficient	NOUN
ejpam-4579	8	18	conjugate	conjugate	VERB
ejpam-4579	8	19	gradient	gradient	NOUN
ejpam-4579	8	20	,	,	PUNCT
ejpam-4579	8	21	convergence	convergence	NOUN
ejpam-4579	8	22	property	property	NOUN
ejpam-4579	8	23	,	,	PUNCT
ejpam-4579	8	24	image	image	NOUN
ejpam-4579	8	25	restoration	restoration	NOUN
ejpam-4579	8	26	problems	problem	NOUN
ejpam-4579	8	27	1	1	NUM
ejpam-4579	8	28	.	.	PUNCT
ejpam-4579	9	1	introduction	introduction	NOUN
ejpam-4579	9	2	image	image	NOUN
ejpam-4579	9	3	declaring	declare	VERB
ejpam-4579	9	4	[	[	X
ejpam-4579	9	5	16	16	NUM
ejpam-4579	9	6	]	]	PUNCT
ejpam-4579	9	7	from	from	ADP
ejpam-4579	9	8	noisy	noisy	ADJ
ejpam-4579	9	9	data	datum	NOUN
ejpam-4579	9	10	is	be	AUX
ejpam-4579	9	11	a	a	DET
ejpam-4579	9	12	fundamental	fundamental	ADJ
ejpam-4579	9	13	problem	problem	NOUN
ejpam-4579	9	14	in	in	ADP
ejpam-4579	9	15	image	image	NOUN
ejpam-4579	9	16	processing	processing	NOUN
ejpam-4579	9	17	.	.	PUNCT
ejpam-4579	10	1	two	two	NUM
ejpam-4579	10	2	-	-	PUNCT
ejpam-4579	10	3	phase	phase	NOUN
ejpam-4579	10	4	approach	approach	NOUN
ejpam-4579	10	5	,	,	PUNCT
ejpam-4579	10	6	consists	consist	VERB
ejpam-4579	10	7	of	of	ADP
ejpam-4579	10	8	two	two	NUM
ejpam-4579	10	9	phases	phase	NOUN
ejpam-4579	10	10	.	.	PUNCT
ejpam-4579	11	1	firstly	firstly	ADV
ejpam-4579	11	2	,	,	PUNCT
ejpam-4579	11	3	accurate	accurate	ADJ
ejpam-4579	11	4	detection	detection	NOUN
ejpam-4579	11	5	of	of	ADP
ejpam-4579	11	6	the	the	DET
ejpam-4579	11	7	location	location	NOUN
ejpam-4579	11	8	of	of	ADP
ejpam-4579	11	9	impulse	impulse	ADJ
ejpam-4579	11	10	noise	noise	NOUN
ejpam-4579	11	11	using	use	VERB
ejpam-4579	11	12	a	a	DET
ejpam-4579	11	13	median	median	ADJ
ejpam-4579	11	14	-	-	PUNCT
ejpam-4579	11	15	type	type	NOUN
ejpam-4579	11	16	filter	filter	NOUN
ejpam-4579	11	17	(	(	PUNCT
ejpam-4579	11	18	amf	amf	PROPN
ejpam-4579	11	19	)	)	PUNCT
ejpam-4579	12	1	[	[	X
ejpam-4579	12	2	17	17	NUM
ejpam-4579	12	3	]	]	PUNCT
ejpam-4579	12	4	.	.	PUNCT
ejpam-4579	13	1	let	let	VERB
ejpam-4579	13	2	x	x	PRON
ejpam-4579	13	3	be	be	AUX
ejpam-4579	13	4	the	the	DET
ejpam-4579	13	5	true	true	ADJ
ejpam-4579	13	6	image	image	NOUN
ejpam-4579	13	7	with	with	ADP
ejpam-4579	13	8	m	m	NOUN
ejpam-4579	13	9	-	-	PUNCT
ejpam-4579	13	10	by	by	ADP
ejpam-4579	13	11	-	-	PUNCT
ejpam-4579	13	12	n	n	NOUN
ejpam-4579	13	13	pixels	pixel	NOUN
ejpam-4579	13	14	,	,	PUNCT
ejpam-4579	13	15	and	and	CCONJ
ejpam-4579	13	16	xij	xij	PROPN
ejpam-4579	13	17	m	m	PROPN
ejpam-4579	13	18	,	,	PUNCT
ejpam-4579	13	19	n	n	PROPN
ejpam-4579	13	20	i	i	PRON
ejpam-4579	13	21	,	,	PUNCT
ejpam-4579	13	22	j=1	j=1	PROPN
ejpam-4579	13	23	denote	denote	VERB
ejpam-4579	13	24	the	the	DET
ejpam-4579	13	25	gray	gray	ADJ
ejpam-4579	13	26	level	level	NOUN
ejpam-4579	13	27	of	of	ADP
ejpam-4579	13	28	x	x	PRON
ejpam-4579	13	29	,	,	PUNCT
ejpam-4579	13	30	y	y	PROPN
ejpam-4579	13	31	signifying	signify	VERB
ejpam-4579	13	32	the	the	DET
ejpam-4579	13	33	observed	observe	VERB
ejpam-4579	13	34	noisy	noisy	ADJ
ejpam-4579	13	35	image	image	NOUN
ejpam-4579	13	36	of	of	ADP
ejpam-4579	13	37	x	x	PUNCT
ejpam-4579	13	38	corrupted	corrupt	VERB
ejpam-4579	13	39	by	by	ADP
ejpam-4579	13	40	the	the	DET
ejpam-4579	13	41	salt	salt	NOUN
ejpam-4579	13	42	-	-	PUNCT
ejpam-4579	13	43	and	and	CCONJ
ejpam-4579	13	44	-	-	PUNCT
ejpam-4579	13	45	pepper	pepper	NOUN
ejpam-4579	13	46	noise	noise	NOUN
ejpam-4579	13	47	,	,	PUNCT
ejpam-4579	13	48	ȳ	ȳ	PROPN
ejpam-4579	13	49	is	be	AUX
ejpam-4579	13	50	defined	define	VERB
ejpam-4579	13	51	by	by	ADP
ejpam-4579	13	52	the	the	DET
ejpam-4579	13	53	image	image	NOUN
ejpam-4579	13	54	obtained	obtain	VERB
ejpam-4579	13	55	byapplying	byapplye	VERB
ejpam-4579	13	56	the	the	DET
ejpam-4579	13	57	adaptive	adaptive	ADJ
ejpam-4579	13	58	median	median	ADJ
ejpam-4579	13	59	filter	filter	NOUN
ejpam-4579	13	60	method	method	NOUN
ejpam-4579	13	61	to	to	ADP
ejpam-4579	13	62	the	the	DET
ejpam-4579	13	63	noisy	noisy	ADJ
ejpam-4579	13	64	image	image	NOUN
ejpam-4579	13	65	y	y	PROPN
ejpam-4579	13	66	in	in	ADP
ejpam-4579	13	67	the	the	DET
ejpam-4579	13	68	first	first	ADJ
ejpam-4579	13	69	phase	phase	NOUN
ejpam-4579	13	70	.	.	PUNCT
ejpam-4579	14	1	secondly	secondly	ADV
ejpam-4579	14	2	,	,	PUNCT
ejpam-4579	14	3	recovering	recover	VERB
ejpam-4579	14	4	the	the	DET
ejpam-4579	14	5	noise	noise	NOUN
ejpam-4579	14	6	pixels	pixel	NOUN
ejpam-4579	14	7	by	by	ADP
ejpam-4579	14	8	minimizing	minimize	VERB
ejpam-4579	14	9	the	the	DET
ejpam-4579	14	10	following	follow	VERB
ejpam-4579	14	11	functional	functional	ADJ
ejpam-4579	14	12	:	:	PUNCT
ejpam-4579	14	13	fα(u	fα(u	X
ejpam-4579	14	14	)	)	PUNCT
ejpam-4579	14	15	=	=	PUNCT
ejpam-4579	15	1	∑	∑	PUNCT
ejpam-4579	15	2	(	(	PUNCT
ejpam-4579	15	3	i	i	PROPN
ejpam-4579	15	4	,	,	PUNCT
ejpam-4579	15	5	j)∈n	j)∈n	PROPN
ejpam-4579	16	1	[	[	X
ejpam-4579	16	2	|ui	|ui	X
ejpam-4579	16	3	,	,	PUNCT
ejpam-4579	16	4	j	j	PROPN
ejpam-4579	16	5	−	−	PROPN
ejpam-4579	16	6	yi	yi	PROPN
ejpam-4579	16	7	,	,	PUNCT
ejpam-4579	16	8	j	j	PROPN
ejpam-4579	16	9	|+	|+	NOUN
ejpam-4579	16	10	β	β	X
ejpam-4579	16	11	2	2	NUM
ejpam-4579	16	12	(	(	PUNCT
ejpam-4579	16	13	s1	s1	PROPN
ejpam-4579	16	14	i	i	PROPN
ejpam-4579	16	15	,	,	PUNCT
ejpam-4579	16	16	j	j	PROPN
ejpam-4579	16	17	+	+	CCONJ
ejpam-4579	16	18	s2	s2	VERB
ejpam-4579	16	19	i	i	PROPN
ejpam-4579	16	20	,	,	PUNCT
ejpam-4579	16	21	j	j	PROPN
ejpam-4579	16	22	)	)	PUNCT
ejpam-4579	16	23	]	]	PUNCT
ejpam-4579	16	24	(	(	PUNCT
ejpam-4579	16	25	1	1	X
ejpam-4579	16	26	)	)	PUNCT
ejpam-4579	16	27	where	where	SCONJ
ejpam-4579	16	28	ui	ui	PROPN
ejpam-4579	16	29	,	,	PUNCT
ejpam-4579	16	30	j	j	PROPN
ejpam-4579	16	31	=	=	SYM
ejpam-4579	16	32	⌊ui	⌊ui	PROPN
ejpam-4579	16	33	,	,	PUNCT
ejpam-4579	16	34	j⌋(i	j⌋(i	PROPN
ejpam-4579	16	35	,	,	PUNCT
ejpam-4579	16	36	j)∈n	j)∈n	PROPN
ejpam-4579	16	37	is	be	AUX
ejpam-4579	16	38	a	a	DET
ejpam-4579	16	39	column	column	NOUN
ejpam-4579	16	40	vector	vector	NOUN
ejpam-4579	16	41	of	of	ADP
ejpam-4579	16	42	length	length	NOUN
ejpam-4579	16	43	|n	|n	NOUN
ejpam-4579	16	44	|	|	ADV
ejpam-4579	16	45	,	,	PUNCT
ejpam-4579	16	46	β	β	X
ejpam-4579	16	47	is	be	AUX
ejpam-4579	16	48	the	the	DET
ejpam-4579	16	49	regularization	regularization	NOUN
ejpam-4579	16	50	parameter	parameter	NOUN
ejpam-4579	16	51	and	and	CCONJ
ejpam-4579	16	52	:	:	PUNCT
ejpam-4579	16	53	s1	s1	PROPN
ejpam-4579	16	54	i	i	PROPN
ejpam-4579	16	55	,	,	PUNCT
ejpam-4579	16	56	j	j	PROPN
ejpam-4579	16	57	=	=	SYM
ejpam-4579	16	58	2	2	NUM
ejpam-4579	16	59	∑	∑	PUNCT
ejpam-4579	16	60	(	(	PUNCT
ejpam-4579	16	61	m	m	PROPN
ejpam-4579	16	62	,	,	PUNCT
ejpam-4579	16	63	n)∈pi	n)∈pi	PROPN
ejpam-4579	16	64	,	,	PUNCT
ejpam-4579	16	65	j∩nc	j∩nc	PROPN
ejpam-4579	16	66	φα(ui	φα(ui	PROPN
ejpam-4579	16	67	,	,	PUNCT
ejpam-4579	16	68	j	j	PROPN
ejpam-4579	16	69	−	−	PROPN
ejpam-4579	16	70	ym	ym	PROPN
ejpam-4579	16	71	,	,	PUNCT
ejpam-4579	16	72	n	n	CCONJ
ejpam-4579	16	73	)	)	PUNCT
ejpam-4579	16	74	,	,	PUNCT
ejpam-4579	16	75	s2	s2	VERB
ejpam-4579	16	76	i	i	PRON
ejpam-4579	16	77	,	,	PUNCT
ejpam-4579	16	78	j	j	PROPN
ejpam-4579	16	79	=	=	SYM
ejpam-4579	16	80	∑	∑	PUNCT
ejpam-4579	16	81	(	(	PUNCT
ejpam-4579	16	82	m	m	PROPN
ejpam-4579	16	83	,	,	PUNCT
ejpam-4579	16	84	n)∈pi	n)∈pi	PROPN
ejpam-4579	16	85	,	,	PUNCT
ejpam-4579	16	86	j∩n	j∩n	PROPN
ejpam-4579	16	87	φα(ui	φα(ui	PROPN
ejpam-4579	16	88	,	,	PUNCT
ejpam-4579	16	89	j	j	PROPN
ejpam-4579	16	90	−	−	PROPN
ejpam-4579	16	91	ym	ym	PROPN
ejpam-4579	16	92	,	,	PUNCT
ejpam-4579	16	93	n	n	CCONJ
ejpam-4579	16	94	)	)	PUNCT
ejpam-4579	16	95	(	(	PUNCT
ejpam-4579	16	96	2	2	X
ejpam-4579	16	97	)	)	PUNCT
ejpam-4579	16	98	∗corresponding	∗corresponde	VERB
ejpam-4579	16	99	author	author	NOUN
ejpam-4579	16	100	.	.	PUNCT
ejpam-4579	17	1	doi	doi	NOUN
ejpam-4579	17	2	:	:	PUNCT
ejpam-4579	17	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4579	https://doi.org/10.29020/nybg.ejpam.v15i4.4579	PROPN
ejpam-4579	17	4	email	email	NOUN
ejpam-4579	17	5	addresses	address	NOUN
ejpam-4579	17	6	:	:	PUNCT
ejpam-4579	17	7	basimah@uomosul.edu.iq	basimah@uomosul.edu.iq	PROPN
ejpam-4579	17	8	(	(	PUNCT
ejpam-4579	17	9	b.	b.	PROPN
ejpam-4579	17	10	a.	a.	PROPN
ejpam-4579	17	11	hassan	hassan	PROPN
ejpam-4579	17	12	)	)	PUNCT
ejpam-4579	17	13	,	,	PUNCT
ejpam-4579	17	14	haneen19921006@gmail.com	haneen19921006@gmail.com	X
ejpam-4579	18	1	(	(	PUNCT
ejpam-4579	18	2	h.	h.	PROPN
ejpam-4579	18	3	a.	a.	PROPN
ejpam-4579	18	4	alashoor	alashoor	PROPN
ejpam-4579	18	5	)	)	PUNCT
ejpam-4579	18	6	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4579	18	7	2043	2043	NUM
ejpam-4579	19	1	©	©	PROPN
ejpam-4579	19	2	2022	2022	NUM
ejpam-4579	19	3	ejpam	ejpam	VERB
ejpam-4579	19	4	all	all	DET
ejpam-4579	19	5	rights	right	NOUN
ejpam-4579	19	6	reserved	reserve	VERB
ejpam-4579	19	7	.	.	PUNCT
ejpam-4579	20	1	b.	b.	PROPN
ejpam-4579	20	2	a.	a.	PROPN
ejpam-4579	20	3	hassan	hassan	PROPN
ejpam-4579	20	4	,	,	PUNCT
ejpam-4579	20	5	h.	h.	PROPN
ejpam-4579	20	6	a.	a.	PROPN
ejpam-4579	20	7	alashoor	alashoor	PROPN
ejpam-4579	20	8	/	/	SYM
ejpam-4579	20	9	eur	eur	PROPN
ejpam-4579	20	10	.	.	PUNCT
ejpam-4579	21	1	j.	j.	PROPN
ejpam-4579	21	2	pure	pure	PROPN
ejpam-4579	21	3	appl	appl	PROPN
ejpam-4579	21	4	.	.	PROPN
ejpam-4579	21	5	math	math	PROPN
ejpam-4579	21	6	,	,	PUNCT
ejpam-4579	21	7	15	15	NUM
ejpam-4579	21	8	(	(	PUNCT
ejpam-4579	21	9	4	4	NUM
ejpam-4579	21	10	)	)	PUNCT
ejpam-4579	21	11	(	(	PUNCT
ejpam-4579	21	12	2022	2022	NUM
ejpam-4579	21	13	)	)	PUNCT
ejpam-4579	21	14	,	,	PUNCT
ejpam-4579	21	15	2043	2043	NUM
ejpam-4579	21	16	-	-	SYM
ejpam-4579	21	17	2053	2053	NUM
ejpam-4579	21	18	2044	2044	NUM
ejpam-4579	21	19	the	the	DET
ejpam-4579	21	20	noise	noise	NOUN
ejpam-4579	21	21	candidate	candidate	NOUN
ejpam-4579	21	22	indices	index	NOUN
ejpam-4579	21	23	set	set	VERB
ejpam-4579	21	24	n	n	NOUN
ejpam-4579	21	25	c	c	NOUN
ejpam-4579	21	26	=	=	SYM
ejpam-4579	21	27	{	{	PUNCT
ejpam-4579	21	28	(	(	PUNCT
ejpam-4579	21	29	i	i	PROPN
ejpam-4579	21	30	,	,	PUNCT
ejpam-4579	21	31	j	j	PROPN
ejpam-4579	21	32	)	)	PUNCT
ejpam-4579	21	33	∈	∈	PROPN
ejpam-4579	21	34	a	a	DET
ejpam-4579	21	35	/	/	SYM
ejpam-4579	21	36	ȳi	ȳi	PROPN
ejpam-4579	21	37	,	,	PUNCT
ejpam-4579	21	38	j	j	PROPN
ejpam-4579	21	39	̸=	̸=	PROPN
ejpam-4579	21	40	yi	yi	PROPN
ejpam-4579	21	41	,	,	PUNCT
ejpam-4579	21	42	j	j	PROPN
ejpam-4579	21	43	and	and	CCONJ
ejpam-4579	21	44	yi	yi	PROPN
ejpam-4579	21	45	,	,	PUNCT
ejpam-4579	21	46	j	j	PROPN
ejpam-4579	21	47	=	=	PROPN
ejpam-4579	21	48	smax	smax	PROPN
ejpam-4579	21	49	or	or	CCONJ
ejpam-4579	21	50	smin	smin	PROPN
ejpam-4579	21	51	}	}	PUNCT
ejpam-4579	21	52	,	,	PUNCT
ejpam-4579	21	53	smax	smax	PROPN
ejpam-4579	21	54	is	be	AUX
ejpam-4579	21	55	the	the	DET
ejpam-4579	21	56	maximum	maximum	NOUN
ejpam-4579	21	57	of	of	ADP
ejpam-4579	21	58	the	the	DET
ejpam-4579	21	59	noisy	noisy	ADJ
ejpam-4579	21	60	pixel	pixel	NOUN
ejpam-4579	21	61	and	and	CCONJ
ejpam-4579	21	62	smin	smin	PROPN
ejpam-4579	21	63	denotes	denote	NOUN
ejpam-4579	21	64	the	the	DET
ejpam-4579	21	65	minimum	minimum	NOUN
ejpam-4579	21	66	of	of	ADP
ejpam-4579	21	67	the	the	DET
ejpam-4579	21	68	noisy	noisy	ADJ
ejpam-4579	21	69	pixel	pixel	NOUN
ejpam-4579	21	70	.	.	PUNCT
ejpam-4579	22	1	a	a	PRON
ejpam-4579	22	2	=	=	NOUN
ejpam-4579	22	3	1	1	NUM
ejpam-4579	22	4	,	,	PUNCT
ejpam-4579	22	5	2	2	NUM
ejpam-4579	22	6	,	,	PUNCT
ejpam-4579	22	7	3	3	NUM
ejpam-4579	22	8	,	,	PUNCT
ejpam-4579	22	9	...	...	PUNCT
ejpam-4579	22	10	,	,	PUNCT
ejpam-4579	22	11	m	m	VERB
ejpam-4579	22	12	×	×	NOUN
ejpam-4579	22	13	1	1	NUM
ejpam-4579	22	14	,	,	PUNCT
ejpam-4579	22	15	2	2	NUM
ejpam-4579	22	16	,	,	PUNCT
ejpam-4579	22	17	3	3	NUM
ejpam-4579	22	18	,	,	PUNCT
ejpam-4579	22	19	...	...	PUNCT
ejpam-4579	22	20	,	,	PUNCT
ejpam-4579	22	21	n	n	CCONJ
ejpam-4579	22	22	,	,	PUNCT
ejpam-4579	22	23	vi	vi	PROPN
ejpam-4579	22	24	,	,	PUNCT
ejpam-4579	22	25	j	j	NOUN
ejpam-4579	22	26	=	=	SYM
ejpam-4579	22	27	(	(	PUNCT
ejpam-4579	22	28	vi	vi	PROPN
ejpam-4579	22	29	,	,	PUNCT
ejpam-4579	22	30	j	j	PROPN
ejpam-4579	22	31	∩	∩	PROPN
ejpam-4579	22	32	n	n	PROPN
ejpam-4579	22	33	c	c	NOUN
ejpam-4579	22	34	)	)	PUNCT
ejpam-4579	22	35	∪	∪	NOUN
ejpam-4579	22	36	(	(	PUNCT
ejpam-4579	22	37	vi	vi	PROPN
ejpam-4579	22	38	,	,	PUNCT
ejpam-4579	22	39	j	j	PROPN
ejpam-4579	22	40	∩	∩	NOUN
ejpam-4579	22	41	n	n	CCONJ
ejpam-4579	22	42	)	)	PUNCT
ejpam-4579	22	43	is	be	AUX
ejpam-4579	22	44	the	the	DET
ejpam-4579	22	45	neighborhood	neighborhood	NOUN
ejpam-4579	22	46	of	of	ADP
ejpam-4579	22	47	(	(	PUNCT
ejpam-4579	22	48	i	i	PROPN
ejpam-4579	22	49	,	,	PUNCT
ejpam-4579	22	50	j	j	PROPN
ejpam-4579	22	51	)	)	PUNCT
ejpam-4579	22	52	,	,	PUNCT
ejpam-4579	22	53	and	and	CCONJ
ejpam-4579	22	54	φα	φα	PROPN
ejpam-4579	22	55	is	be	AUX
ejpam-4579	22	56	an	an	DET
ejpam-4579	22	57	edge	edge	NOUN
ejpam-4579	22	58	preserving	preserve	VERB
ejpam-4579	22	59	potential	potential	ADJ
ejpam-4579	22	60	function	function	NOUN
ejpam-4579	22	61	having	have	VERB
ejpam-4579	22	62	the	the	DET
ejpam-4579	22	63	parameter	parameter	NOUN
ejpam-4579	22	64	α	α	NOUN
ejpam-4579	22	65	,	,	PUNCT
ejpam-4579	22	66	example	example	NOUN
ejpam-4579	22	67	of	of	ADP
ejpam-4579	22	68	such	such	ADJ
ejpam-4579	22	69	φα	φα	ADP
ejpam-4579	22	70	=	=	PUNCT
ejpam-4579	22	71	√	√	PROPN
ejpam-4579	22	72	α+	α+	X
ejpam-4579	22	73	x2	x2	PROPN
ejpam-4579	22	74	,	,	PUNCT
ejpam-4579	22	75	α	α	X
ejpam-4579	22	76	>	>	X
ejpam-4579	22	77	0	0	PROPN
ejpam-4579	22	78	.	.	PUNCT
ejpam-4579	23	1	similar	similar	ADJ
ejpam-4579	23	2	optimization	optimization	NOUN
ejpam-4579	23	3	problems	problem	NOUN
ejpam-4579	23	4	arise	arise	VERB
ejpam-4579	23	5	with	with	ADP
ejpam-4579	23	6	non	non	ADJ
ejpam-4579	23	7	-	-	ADJ
ejpam-4579	23	8	smooth	smooth	ADJ
ejpam-4579	23	9	regularizations	regularization	NOUN
ejpam-4579	23	10	,	,	PUNCT
ejpam-4579	23	11	where	where	SCONJ
ejpam-4579	23	12	fα(u	fα(u	NOUN
ejpam-4579	23	13	)	)	PUNCT
ejpam-4579	23	14	is	be	AUX
ejpam-4579	23	15	of	of	ADP
ejpam-4579	23	16	the	the	DET
ejpam-4579	23	17	form	form	NOUN
ejpam-4579	23	18	(	(	PUNCT
ejpam-4579	23	19	1	1	NUM
ejpam-4579	23	20	)	)	PUNCT
ejpam-4579	23	21	with	with	ADP
ejpam-4579	23	22	s1	s1	PROPN
ejpam-4579	23	23	i	i	PROPN
ejpam-4579	23	24	,	,	PUNCT
ejpam-4579	23	25	j	j	PROPN
ejpam-4579	24	1	+	+	PROPN
ejpam-4579	24	2	s2	s2	VERB
ejpam-4579	24	3	i	i	PRON
ejpam-4579	24	4	,	,	PUNCT
ejpam-4579	24	5	j	j	PROPN
ejpam-4579	24	6	smooth	smooth	ADJ
ejpam-4579	24	7	and	and	CCONJ
ejpam-4579	24	8	|ui	|ui	NUM
ejpam-4579	24	9	,	,	PUNCT
ejpam-4579	24	10	j	j	PROPN
ejpam-4579	24	11	−yi	−yi	PROPN
ejpam-4579	24	12	,	,	PUNCT
ejpam-4579	24	13	j	j	PROPN
ejpam-4579	24	14	|	|	ADV
ejpam-4579	24	15	nonsmooth	nonsmooth	NOUN
ejpam-4579	24	16	at	at	ADP
ejpam-4579	24	17	zero	zero	NUM
ejpam-4579	24	18	.	.	PUNCT
ejpam-4579	25	1	in	in	ADP
ejpam-4579	25	2	formula	formula	NOUN
ejpam-4579	25	3	,	,	PUNCT
ejpam-4579	25	4	the	the	DET
ejpam-4579	25	5	function	function	NOUN
ejpam-4579	25	6	which	which	PRON
ejpam-4579	25	7	is	be	AUX
ejpam-4579	25	8	minimized	minimize	VERB
ejpam-4579	25	9	is	be	AUX
ejpam-4579	25	10	a	a	DET
ejpam-4579	25	11	half	half	ADJ
ejpam-4579	25	12	-	-	PUNCT
ejpam-4579	25	13	quadratic	quadratic	ADJ
ejpam-4579	25	14	smooth	smooth	ADJ
ejpam-4579	25	15	approximation	approximation	NOUN
ejpam-4579	25	16	of	of	ADP
ejpam-4579	25	17	fα(u	fα(u	NOUN
ejpam-4579	25	18	)	)	PUNCT
ejpam-4579	25	19	as	as	ADP
ejpam-4579	25	20	:	:	PUNCT
ejpam-4579	25	21	fα(u	fα(u	X
ejpam-4579	25	22	)	)	PUNCT
ejpam-4579	25	23	=	=	PUNCT
ejpam-4579	26	1	∑	∑	PUNCT
ejpam-4579	26	2	(	(	PUNCT
ejpam-4579	26	3	i	i	PROPN
ejpam-4579	26	4	,	,	PUNCT
ejpam-4579	26	5	j)∈n	j)∈n	PROPN
ejpam-4579	27	1	[	[	X
ejpam-4579	27	2	(	(	PUNCT
ejpam-4579	27	3	2×	2×	NUM
ejpam-4579	27	4	s1	s1	PROPN
ejpam-4579	27	5	i	i	PROPN
ejpam-4579	27	6	,	,	PUNCT
ejpam-4579	27	7	j	j	PROPN
ejpam-4579	27	8	+	+	CCONJ
ejpam-4579	27	9	s2	s2	VERB
ejpam-4579	27	10	i	i	PROPN
ejpam-4579	27	11	,	,	PUNCT
ejpam-4579	27	12	j	j	PROPN
ejpam-4579	27	13	)	)	PUNCT
ejpam-4579	27	14	]	]	PUNCT
ejpam-4579	27	15	(	(	PUNCT
ejpam-4579	27	16	3	3	X
ejpam-4579	27	17	)	)	PUNCT
ejpam-4579	27	18	more	more	ADJ
ejpam-4579	27	19	details	detail	NOUN
ejpam-4579	27	20	can	can	AUX
ejpam-4579	27	21	be	be	AUX
ejpam-4579	27	22	found	find	VERB
ejpam-4579	27	23	in	in	ADP
ejpam-4579	27	24	[	[	X
ejpam-4579	27	25	16],[17	16],[17	PROPN
ejpam-4579	27	26	]	]	X
ejpam-4579	27	27	.	.	PUNCT
ejpam-4579	28	1	the	the	DET
ejpam-4579	28	2	minimization	minimization	NOUN
ejpam-4579	28	3	of	of	ADP
ejpam-4579	28	4	formula	formula	NOUN
ejpam-4579	28	5	(	(	PUNCT
ejpam-4579	28	6	3	3	X
ejpam-4579	28	7	)	)	PUNCT
ejpam-4579	28	8	has	have	AUX
ejpam-4579	28	9	been	be	AUX
ejpam-4579	28	10	accomplished	accomplish	VERB
ejpam-4579	28	11	by	by	ADP
ejpam-4579	28	12	the	the	DET
ejpam-4579	28	13	method	method	NOUN
ejpam-4579	28	14	of	of	ADP
ejpam-4579	28	15	conjugated	conjugate	VERB
ejpam-4579	28	16	gradients	gradient	NOUN
ejpam-4579	28	17	such	such	ADJ
ejpam-4579	28	18	as	as	ADP
ejpam-4579	28	19	:	:	PUNCT
ejpam-4579	28	20	f(x∗	f(x∗	NUM
ejpam-4579	28	21	)	)	PUNCT
ejpam-4579	29	1	=	=	SYM
ejpam-4579	29	2	min	min	PROPN
ejpam-4579	29	3	x∈rn	x∈rn	PROPN
ejpam-4579	29	4	f(u	f(u	PROPN
ejpam-4579	29	5	)	)	PUNCT
ejpam-4579	29	6	.	.	PUNCT
ejpam-4579	30	1	(	(	PUNCT
ejpam-4579	30	2	4	4	X
ejpam-4579	30	3	)	)	PUNCT
ejpam-4579	30	4	in	in	ADP
ejpam-4579	30	5	formula	formula	NOUN
ejpam-4579	30	6	[	[	X
ejpam-4579	30	7	15	15	NUM
ejpam-4579	30	8	]	]	PUNCT
ejpam-4579	30	9	,	,	PUNCT
ejpam-4579	30	10	the	the	DET
ejpam-4579	30	11	k	k	NOUN
ejpam-4579	30	12	-	-	PUNCT
ejpam-4579	30	13	th	th	VERB
ejpam-4579	30	14	iteration	iteration	NOUN
ejpam-4579	30	15	,	,	PUNCT
ejpam-4579	30	16	a	a	DET
ejpam-4579	30	17	step	step	NOUN
ejpam-4579	30	18	-	-	PUNCT
ejpam-4579	30	19	length	length	NOUN
ejpam-4579	30	20	αk	αk	NOUN
ejpam-4579	30	21	is	be	AUX
ejpam-4579	30	22	obtained	obtain	VERB
ejpam-4579	30	23	by	by	ADP
ejpam-4579	30	24	a	a	DET
ejpam-4579	30	25	line	line	NOUN
ejpam-4579	30	26	search	search	NOUN
ejpam-4579	30	27	technique	technique	NOUN
ejpam-4579	30	28	and	and	CCONJ
ejpam-4579	30	29	the	the	DET
ejpam-4579	30	30	next	next	ADJ
ejpam-4579	30	31	iterate	iterate	NOUN
ejpam-4579	30	32	is	be	AUX
ejpam-4579	30	33	set	set	VERB
ejpam-4579	30	34	to	to	ADP
ejpam-4579	30	35	:	:	PUNCT
ejpam-4579	30	36	uk+1	uk+1	ADP
ejpam-4579	30	37	=	=	SYM
ejpam-4579	30	38	uk	uk	PROPN
ejpam-4579	30	39	+	+	NOUN
ejpam-4579	30	40	αkdk	αkdk	NOUN
ejpam-4579	30	41	.	.	PUNCT
ejpam-4579	31	1	(	(	PUNCT
ejpam-4579	31	2	5	5	NUM
ejpam-4579	31	3	)	)	PUNCT
ejpam-4579	31	4	if	if	SCONJ
ejpam-4579	31	5	f	f	PROPN
ejpam-4579	31	6	is	be	AUX
ejpam-4579	31	7	a	a	DET
ejpam-4579	31	8	convex	convex	ADJ
ejpam-4579	31	9	quadratic	quadratic	NOUN
ejpam-4579	31	10	,	,	PUNCT
ejpam-4579	31	11	its	its	PRON
ejpam-4579	31	12	one	one	NUM
ejpam-4579	31	13	-	-	PUNCT
ejpam-4579	31	14	dimensional	dimensional	ADJ
ejpam-4579	31	15	minimizer	minimizer	NOUN
ejpam-4579	31	16	along	along	ADP
ejpam-4579	31	17	the	the	DET
ejpam-4579	31	18	ray	ray	NOUN
ejpam-4579	31	19	uk	uk	PROPN
ejpam-4579	31	20	+	+	CCONJ
ejpam-4579	31	21	αkdk	αkdk	NOUN
ejpam-4579	31	22	can	can	AUX
ejpam-4579	31	23	be	be	AUX
ejpam-4579	31	24	computed	compute	VERB
ejpam-4579	31	25	analytically	analytically	ADV
ejpam-4579	31	26	,	,	PUNCT
ejpam-4579	31	27	and	and	CCONJ
ejpam-4579	31	28	is	be	AUX
ejpam-4579	31	29	given	give	VERB
ejpam-4579	31	30	by	by	ADP
ejpam-4579	31	31	:	:	PUNCT
ejpam-4579	31	32	αk	αk	NOUN
ejpam-4579	31	33	=	=	SYM
ejpam-4579	31	34	−	−	PROPN
ejpam-4579	31	35	gtk	gtk	NOUN
ejpam-4579	31	36	dk	dk	PROPN
ejpam-4579	31	37	dtkqdk	dtkqdk	NOUN
ejpam-4579	31	38	.	.	PUNCT
ejpam-4579	32	1	(	(	PUNCT
ejpam-4579	32	2	6	6	NUM
ejpam-4579	32	3	)	)	PUNCT
ejpam-4579	32	4	for	for	ADP
ejpam-4579	32	5	general	general	ADJ
ejpam-4579	32	6	non	non	ADJ
ejpam-4579	32	7	-	-	ADJ
ejpam-4579	32	8	linear	linear	ADJ
ejpam-4579	32	9	functions	function	NOUN
ejpam-4579	32	10	,	,	PUNCT
ejpam-4579	32	11	it	it	PRON
ejpam-4579	32	12	is	be	AUX
ejpam-4579	32	13	necessary	necessary	ADJ
ejpam-4579	32	14	to	to	PART
ejpam-4579	32	15	use	use	VERB
ejpam-4579	32	16	an	an	DET
ejpam-4579	32	17	iterative	iterative	NOUN
ejpam-4579	32	18	procedure	procedure	NOUN
ejpam-4579	32	19	.	.	PUNCT
ejpam-4579	33	1	more	more	ADJ
ejpam-4579	33	2	details	detail	NOUN
ejpam-4579	33	3	can	can	AUX
ejpam-4579	33	4	be	be	AUX
ejpam-4579	33	5	found	find	VERB
ejpam-4579	33	6	in	in	ADP
ejpam-4579	33	7	formula	formula	NOUN
ejpam-4579	33	8	[	[	X
ejpam-4579	33	9	14	14	NUM
ejpam-4579	33	10	]	]	PUNCT
ejpam-4579	33	11	.	.	PUNCT
ejpam-4579	34	1	in	in	ADP
ejpam-4579	34	2	the	the	DET
ejpam-4579	34	3	convergence	convergence	NOUN
ejpam-4579	34	4	analysis	analysis	NOUN
ejpam-4579	34	5	and	and	CCONJ
ejpam-4579	34	6	implementations	implementation	NOUN
ejpam-4579	34	7	of	of	ADP
ejpam-4579	34	8	conjugate	conjugate	ADJ
ejpam-4579	34	9	gradient	gradient	ADJ
ejpam-4579	34	10	methods	method	NOUN
ejpam-4579	34	11	,	,	PUNCT
ejpam-4579	34	12	the	the	DET
ejpam-4579	34	13	wolfe	wolfe	PROPN
ejpam-4579	34	14	condition	condition	NOUN
ejpam-4579	34	15	is	be	AUX
ejpam-4579	34	16	often	often	ADV
ejpam-4579	34	17	used	use	VERB
ejpam-4579	34	18	to	to	PART
ejpam-4579	34	19	find	find	VERB
ejpam-4579	34	20	the	the	DET
ejpam-4579	34	21	step	step	NOUN
ejpam-4579	34	22	length	length	NOUN
ejpam-4579	34	23	αk	αk	INTJ
ejpam-4579	34	24	satisfying	satisfying	NOUN
ejpam-4579	34	25	:	:	PUNCT
ejpam-4579	34	26	f(uk	f(uk	PROPN
ejpam-4579	34	27	+	+	NUM
ejpam-4579	34	28	akdk	akdk	NOUN
ejpam-4579	34	29	)	)	PUNCT
ejpam-4579	34	30	≤	≤	PROPN
ejpam-4579	34	31	f(uk	f(uk	PROPN
ejpam-4579	34	32	)	)	PUNCT
ejpam-4579	34	33	+	+	CCONJ
ejpam-4579	34	34	δαkg	δαkg	NOUN
ejpam-4579	34	35	t	t	PROPN
ejpam-4579	34	36	k	k	PROPN
ejpam-4579	34	37	dk	dk	PROPN
ejpam-4579	34	38	(	(	PUNCT
ejpam-4579	34	39	7	7	NUM
ejpam-4579	34	40	)	)	PUNCT
ejpam-4579	34	41	dtk	dtk	PROPN
ejpam-4579	34	42	g(uk	g(uk	PROPN
ejpam-4579	34	43	+	+	CCONJ
ejpam-4579	34	44	akdk	akdk	NOUN
ejpam-4579	34	45	)	)	PUNCT
ejpam-4579	34	46	≥	≥	PROPN
ejpam-4579	34	47	σ	σ	PROPN
ejpam-4579	34	48	dtk	dtk	PROPN
ejpam-4579	34	49	gk	gk	PROPN
ejpam-4579	34	50	(	(	PUNCT
ejpam-4579	34	51	8)	8)	NUM
ejpam-4579	34	52	where	where	SCONJ
ejpam-4579	34	53	0	0	NUM
ejpam-4579	34	54	<	<	X
ejpam-4579	34	55	δ	δ	X
ejpam-4579	34	56	<	<	X
ejpam-4579	34	57	σ	σ	X
ejpam-4579	34	58	<	<	X
ejpam-4579	34	59	1	1	NUM
ejpam-4579	34	60	.	.	PUNCT
ejpam-4579	35	1	more	more	ADJ
ejpam-4579	35	2	details	detail	NOUN
ejpam-4579	35	3	can	can	AUX
ejpam-4579	35	4	be	be	AUX
ejpam-4579	35	5	found	find	VERB
ejpam-4579	35	6	in	in	ADP
ejpam-4579	35	7	[	[	X
ejpam-4579	35	8	13	13	NUM
ejpam-4579	35	9	]	]	PUNCT
ejpam-4579	35	10	.	.	PUNCT
ejpam-4579	36	1	the	the	DET
ejpam-4579	36	2	conjugate	conjugate	ADJ
ejpam-4579	36	3	gradient	gradient	ADJ
ejpam-4579	36	4	direction	direction	NOUN
ejpam-4579	36	5	for	for	ADP
ejpam-4579	36	6	the	the	DET
ejpam-4579	36	7	next	next	ADJ
ejpam-4579	36	8	iteration	iteration	NOUN
ejpam-4579	36	9	has	have	VERB
ejpam-4579	36	10	the	the	DET
ejpam-4579	36	11	following	follow	VERB
ejpam-4579	36	12	form	form	NOUN
ejpam-4579	36	13	:	:	PUNCT
ejpam-4579	36	14	dk+1	dk+1	NOUN
ejpam-4579	36	15	=	=	SYM
ejpam-4579	36	16	−gk+1	−gk+1	PROPN
ejpam-4579	36	17	+	+	CCONJ
ejpam-4579	36	18	βkdk	βkdk	NOUN
ejpam-4579	36	19	(	(	PUNCT
ejpam-4579	36	20	9	9	NUM
ejpam-4579	36	21	)	)	PUNCT
ejpam-4579	36	22	where	where	SCONJ
ejpam-4579	36	23	βk	βk	NOUN
ejpam-4579	36	24	is	be	AUX
ejpam-4579	36	25	a	a	DET
ejpam-4579	36	26	scalar	scalar	NOUN
ejpam-4579	36	27	.	.	PUNCT
ejpam-4579	37	1	two	two	NUM
ejpam-4579	37	2	famous	famous	ADJ
ejpam-4579	37	3	ways	way	NOUN
ejpam-4579	37	4	of	of	ADP
ejpam-4579	37	5	choosing	choose	VERB
ejpam-4579	37	6	βk	βk	NOUN
ejpam-4579	37	7	are	be	AUX
ejpam-4579	37	8	:	:	PUNCT
ejpam-4579	37	9	βfr	βfr	PROPN
ejpam-4579	37	10	k	k	X
ejpam-4579	37	11	=	=	PUNCT
ejpam-4579	37	12	∥gk+1|2	∥gk+1|2	VERB
ejpam-4579	37	13	∥gk|2	∥gk|2	ADJ
ejpam-4579	37	14	,	,	PUNCT
ejpam-4579	37	15	βdy	βdy	VERB
ejpam-4579	37	16	k+1	k+1	X
ejpam-4579	37	17	=	=	SYM
ejpam-4579	37	18	∥gk+1|2	∥gk+1|2	PROPN
ejpam-4579	37	19	dtk	dtk	PROPN
ejpam-4579	37	20	yk	yk	PROPN
ejpam-4579	37	21	(	(	PUNCT
ejpam-4579	37	22	10	10	NUM
ejpam-4579	37	23	)	)	PUNCT
ejpam-4579	37	24	b.	b.	PROPN
ejpam-4579	37	25	a.	a.	PROPN
ejpam-4579	37	26	hassan	hassan	PROPN
ejpam-4579	37	27	,	,	PUNCT
ejpam-4579	37	28	h.	h.	PROPN
ejpam-4579	37	29	a.	a.	PROPN
ejpam-4579	37	30	alashoor	alashoor	PROPN
ejpam-4579	37	31	/	/	SYM
ejpam-4579	37	32	eur	eur	PROPN
ejpam-4579	37	33	.	.	PUNCT
ejpam-4579	38	1	j.	j.	PROPN
ejpam-4579	38	2	pure	pure	PROPN
ejpam-4579	38	3	appl	appl	PROPN
ejpam-4579	38	4	.	.	PROPN
ejpam-4579	38	5	math	math	PROPN
ejpam-4579	38	6	,	,	PUNCT
ejpam-4579	38	7	15	15	NUM
ejpam-4579	38	8	(	(	PUNCT
ejpam-4579	38	9	4	4	NUM
ejpam-4579	38	10	)	)	PUNCT
ejpam-4579	38	11	(	(	PUNCT
ejpam-4579	38	12	2022	2022	NUM
ejpam-4579	38	13	)	)	PUNCT
ejpam-4579	38	14	,	,	PUNCT
ejpam-4579	38	15	2043	2043	NUM
ejpam-4579	38	16	-	-	SYM
ejpam-4579	38	17	2053	2053	NUM
ejpam-4579	38	18	2045	2045	NUM
ejpam-4579	38	19	these	these	PRON
ejpam-4579	38	20	were	be	AUX
ejpam-4579	38	21	given	give	VERB
ejpam-4579	38	22	by	by	ADP
ejpam-4579	38	23	fletcher	fletcher	PROPN
ejpam-4579	38	24	-	-	PUNCT
ejpam-4579	38	25	reeves	reeves	PROPN
ejpam-4579	38	26	(	(	PUNCT
ejpam-4579	38	27	fr	fr	NOUN
ejpam-4579	38	28	)	)	PUNCT
ejpam-4579	38	29	method	method	NOUN
ejpam-4579	38	30	[	[	X
ejpam-4579	38	31	4	4	NUM
ejpam-4579	38	32	]	]	PUNCT
ejpam-4579	38	33	,	,	PUNCT
ejpam-4579	38	34	and	and	CCONJ
ejpam-4579	38	35	the	the	DET
ejpam-4579	38	36	dai	dai	PROPN
ejpam-4579	38	37	yuan	yuan	PROPN
ejpam-4579	38	38	(	(	PUNCT
ejpam-4579	38	39	dy	dy	NOUN
ejpam-4579	38	40	)	)	PUNCT
ejpam-4579	38	41	method	method	NOUN
ejpam-4579	38	42	[	[	X
ejpam-4579	38	43	2	2	NUM
ejpam-4579	38	44	]	]	PUNCT
ejpam-4579	38	45	independently	independently	ADV
ejpam-4579	38	46	.	.	PUNCT
ejpam-4579	39	1	its	its	PRON
ejpam-4579	39	2	algorithms	algorithm	NOUN
ejpam-4579	39	3	have	have	VERB
ejpam-4579	39	4	important	important	ADJ
ejpam-4579	39	5	properties	property	NOUN
ejpam-4579	39	6	including	include	VERB
ejpam-4579	39	7	the	the	DET
ejpam-4579	39	8	globally	globally	ADV
ejpam-4579	39	9	convergent	convergent	ADJ
ejpam-4579	39	10	property	property	NOUN
ejpam-4579	39	11	.	.	PUNCT
ejpam-4579	39	12	]	]	PUNCT
ejpam-4579	40	1	recently	recently	ADV
ejpam-4579	40	2	,	,	PUNCT
ejpam-4579	40	3	hideaki	hideaki	NOUN
ejpam-4579	40	4	and	and	CCONJ
ejpam-4579	40	5	yasushi	yasushi	PROPN
ejpam-4579	41	1	[	[	X
ejpam-4579	41	2	11	11	NUM
ejpam-4579	41	3	]	]	PUNCT
ejpam-4579	41	4	and	and	CCONJ
ejpam-4579	41	5	basim	basim	NOUN
ejpam-4579	42	1	[	[	X
ejpam-4579	42	2	8	8	NUM
ejpam-4579	42	3	]	]	PUNCT
ejpam-4579	42	4	proposed	propose	VERB
ejpam-4579	42	5	conjugate	conjugate	ADJ
ejpam-4579	42	6	gradient	gradient	ADJ
ejpam-4579	42	7	methods	method	NOUN
ejpam-4579	42	8	which	which	PRON
ejpam-4579	42	9	significantly	significantly	ADV
ejpam-4579	42	10	differ	differ	VERB
ejpam-4579	42	11	in	in	ADP
ejpam-4579	42	12	using	use	VERB
ejpam-4579	42	13	both	both	CCONJ
ejpam-4579	42	14	their	their	PRON
ejpam-4579	42	15	gradient	gradient	NOUN
ejpam-4579	42	16	and	and	CCONJ
ejpam-4579	42	17	function	function	NOUN
ejpam-4579	42	18	values	value	NOUN
ejpam-4579	42	19	with	with	ADP
ejpam-4579	42	20	higher	high	ADJ
ejpam-4579	42	21	accuracy	accuracy	NOUN
ejpam-4579	42	22	in	in	ADP
ejpam-4579	42	23	the	the	DET
ejpam-4579	42	24	approximation	approximation	NOUN
ejpam-4579	42	25	of	of	ADP
ejpam-4579	42	26	the	the	DET
ejpam-4579	42	27	curvature	curvature	NOUN
ejpam-4579	42	28	,	,	PUNCT
ejpam-4579	42	29	in	in	ADP
ejpam-4579	42	30	which	which	PRON
ejpam-4579	42	31	the	the	DET
ejpam-4579	42	32	parameters	parameter	NOUN
ejpam-4579	42	33	are	be	AUX
ejpam-4579	42	34	specified	specify	VERB
ejpam-4579	42	35	as	as	SCONJ
ejpam-4579	42	36	follows	follow	VERB
ejpam-4579	42	37	:	:	PUNCT
ejpam-4579	42	38	βhy	βhy	PROPN
ejpam-4579	42	39	k	k	PROPN
ejpam-4579	42	40	=	=	SYM
ejpam-4579	42	41	∥gk+1|2	∥gk+1|2	NUM
ejpam-4579	42	42	2(fk	2(fk	NOUN
ejpam-4579	42	43	−	−	NOUN
ejpam-4579	42	44	fk+1)/ak	fk+1)/ak	PROPN
ejpam-4579	42	45	,	,	PUNCT
ejpam-4579	42	46	βb	βb	PROPN
ejpam-4579	42	47	k	k	PROPN
ejpam-4579	42	48	=	=	PUNCT
ejpam-4579	42	49	∥gk+1|2	∥gk+1|2	NOUN
ejpam-4579	42	50	(	(	PUNCT
ejpam-4579	42	51	fk	fk	INTJ
ejpam-4579	42	52	−	−	PROPN
ejpam-4579	42	53	fk+1)/ak	fk+1)/ak	PROPN
ejpam-4579	42	54	−	−	PROPN
ejpam-4579	42	55	gtk	gtk	NOUN
ejpam-4579	42	56	dk/2	dk/2	NOUN
ejpam-4579	42	57	(	(	PUNCT
ejpam-4579	42	58	11	11	NUM
ejpam-4579	42	59	)	)	PUNCT
ejpam-4579	42	60	these	these	DET
ejpam-4579	42	61	algorithms	algorithm	NOUN
ejpam-4579	42	62	are	be	AUX
ejpam-4579	42	63	significantly	significantly	ADV
ejpam-4579	42	64	efficient	efficient	ADJ
ejpam-4579	42	65	in	in	ADP
ejpam-4579	42	66	their	their	PRON
ejpam-4579	42	67	computational	computational	ADJ
ejpam-4579	42	68	efficiency	efficiency	NOUN
ejpam-4579	42	69	also	also	ADV
ejpam-4579	42	70	.	.	PUNCT
ejpam-4579	43	1	the	the	DET
ejpam-4579	43	2	reported	report	VERB
ejpam-4579	43	3	improved	improved	ADJ
ejpam-4579	43	4	performance	performance	NOUN
ejpam-4579	43	5	for	for	ADP
ejpam-4579	43	6	this	this	DET
ejpam-4579	43	7	modification	modification	NOUN
ejpam-4579	43	8	for	for	ADP
ejpam-4579	43	9	unconstrained	unconstrained	ADJ
ejpam-4579	43	10	problems	problem	NOUN
ejpam-4579	43	11	is	be	AUX
ejpam-4579	43	12	a	a	DET
ejpam-4579	43	13	quadratic	quadratic	ADJ
ejpam-4579	43	14	model	model	NOUN
ejpam-4579	43	15	in	in	ADP
ejpam-4579	43	16	order	order	NOUN
ejpam-4579	43	17	to	to	PART
ejpam-4579	43	18	optimize	optimize	VERB
ejpam-4579	43	19	the	the	DET
ejpam-4579	43	20	benefits	benefit	NOUN
ejpam-4579	43	21	of	of	ADP
ejpam-4579	43	22	the	the	DET
ejpam-4579	43	23	original	original	ADJ
ejpam-4579	43	24	conjugate	conjugate	ADJ
ejpam-4579	43	25	gradient	gradient	NOUN
ejpam-4579	43	26	methods	method	NOUN
ejpam-4579	43	27	.	.	PUNCT
ejpam-4579	44	1	the	the	DET
ejpam-4579	44	2	main	main	ADJ
ejpam-4579	44	3	goal	goal	NOUN
ejpam-4579	44	4	of	of	ADP
ejpam-4579	44	5	this	this	DET
ejpam-4579	44	6	study	study	NOUN
ejpam-4579	44	7	is	be	AUX
ejpam-4579	44	8	derivation	derivation	NOUN
ejpam-4579	44	9	of	of	ADP
ejpam-4579	44	10	the	the	DET
ejpam-4579	44	11	new	new	ADJ
ejpam-4579	44	12	coefficient	coefficient	NOUN
ejpam-4579	44	13	conjugate	conjugate	ADJ
ejpam-4579	44	14	and	and	CCONJ
ejpam-4579	44	15	to	to	PART
ejpam-4579	44	16	think	think	VERB
ejpam-4579	44	17	differently	differently	ADV
ejpam-4579	44	18	of	of	ADP
ejpam-4579	44	19	the	the	DET
ejpam-4579	44	20	denominator	denominator	NOUN
ejpam-4579	44	21	dtkgvk	dtkgvk	PROPN
ejpam-4579	44	22	based	base	VERB
ejpam-4579	44	23	on	on	ADP
ejpam-4579	44	24	the	the	DET
ejpam-4579	44	25	quadratic	quadratic	ADJ
ejpam-4579	44	26	model	model	NOUN
ejpam-4579	44	27	.	.	PUNCT
ejpam-4579	45	1	our	our	PRON
ejpam-4579	45	2	method	method	NOUN
ejpam-4579	45	3	is	be	AUX
ejpam-4579	45	4	found	find	VERB
ejpam-4579	45	5	to	to	PART
ejpam-4579	45	6	be	be	AUX
ejpam-4579	45	7	numerically	numerically	ADV
ejpam-4579	45	8	coherent	coherent	ADJ
ejpam-4579	45	9	and	and	CCONJ
ejpam-4579	45	10	also	also	ADV
ejpam-4579	45	11	efficient	efficient	ADJ
ejpam-4579	45	12	in	in	ADP
ejpam-4579	45	13	image	image	NOUN
ejpam-4579	45	14	restoration	restoration	NOUN
ejpam-4579	45	15	.	.	PUNCT
ejpam-4579	46	1	2	2	X
ejpam-4579	46	2	.	.	X
ejpam-4579	46	3	deriving	derive	VERB
ejpam-4579	46	4	new	new	ADJ
ejpam-4579	46	5	coefficient	coefficient	NOUN
ejpam-4579	46	6	conjugate	conjugate	ADJ
ejpam-4579	46	7	for	for	ADP
ejpam-4579	46	8	conjugate	conjugate	ADJ
ejpam-4579	46	9	gradient	gradient	NOUN
ejpam-4579	46	10	methods	method	NOUN
ejpam-4579	46	11	we	we	PRON
ejpam-4579	46	12	will	will	AUX
ejpam-4579	46	13	assume	assume	VERB
ejpam-4579	46	14	that	that	SCONJ
ejpam-4579	46	15	f	f	PROPN
ejpam-4579	46	16	is	be	AUX
ejpam-4579	46	17	quadratic	quadratic	ADJ
ejpam-4579	46	18	and	and	CCONJ
ejpam-4579	46	19	exact	exact	ADJ
ejpam-4579	46	20	line	line	NOUN
ejpam-4579	46	21	search	search	NOUN
ejpam-4579	46	22	are	be	AUX
ejpam-4579	46	23	being	be	AUX
ejpam-4579	46	24	used	use	VERB
ejpam-4579	46	25	.	.	PUNCT
ejpam-4579	47	1	this	this	PRON
ejpam-4579	47	2	is	be	AUX
ejpam-4579	47	3	a	a	DET
ejpam-4579	47	4	studies	study	NOUN
ejpam-4579	47	5	on	on	ADP
ejpam-4579	47	6	the	the	DET
ejpam-4579	47	7	behaviors	behavior	NOUN
ejpam-4579	47	8	of	of	ADP
ejpam-4579	47	9	one	one	NUM
ejpam-4579	47	10	of	of	ADP
ejpam-4579	47	11	the	the	DET
ejpam-4579	47	12	family	family	NOUN
ejpam-4579	47	13	of	of	ADP
ejpam-4579	47	14	conjugate	conjugate	ADJ
ejpam-4579	47	15	gradient	gradient	ADJ
ejpam-4579	47	16	optimization	optimization	NOUN
ejpam-4579	47	17	methods	method	NOUN
ejpam-4579	47	18	,	,	PUNCT
ejpam-4579	47	19	which	which	PRON
ejpam-4579	47	20	was	be	AUX
ejpam-4579	47	21	introduced	introduce	VERB
ejpam-4579	47	22	by	by	ADP
ejpam-4579	47	23	hideaki	hideaki	NOUN
ejpam-4579	47	24	and	and	CCONJ
ejpam-4579	47	25	yasushi	yasushi	NOUN
ejpam-4579	47	26	in	in	ADP
ejpam-4579	47	27	2011	2011	NUM
ejpam-4579	47	28	.	.	PUNCT
ejpam-4579	48	1	hideaki	hideaki	NOUN
ejpam-4579	48	2	and	and	CCONJ
ejpam-4579	48	3	yasushi	yasushi	PROPN
ejpam-4579	48	4	choice	choice	NOUN
ejpam-4579	48	5	of	of	ADP
ejpam-4579	48	6	βk	βk	NOUN
ejpam-4579	48	7	is	be	AUX
ejpam-4579	48	8	:	:	PUNCT
ejpam-4579	48	9	βk	βk	ADP
ejpam-4579	48	10	=	=	PUNCT
ejpam-4579	48	11	gtk+1qsk	gtk+1qsk	PROPN
ejpam-4579	48	12	dtkqsk	dtkqsk	PROPN
ejpam-4579	48	13	(	(	PUNCT
ejpam-4579	48	14	12	12	NUM
ejpam-4579	48	15	)	)	PUNCT
ejpam-4579	48	16	where	where	SCONJ
ejpam-4579	48	17	q	q	NOUN
ejpam-4579	48	18	is	be	AUX
ejpam-4579	48	19	hessian	hessian	ADJ
ejpam-4579	48	20	matrix	matrix	NOUN
ejpam-4579	48	21	and	and	CCONJ
ejpam-4579	48	22	where	where	SCONJ
ejpam-4579	48	23	βk	βk	NOUN
ejpam-4579	48	24	is	be	AUX
ejpam-4579	48	25	satisfies	satisfie	NOUN
ejpam-4579	48	26	the	the	DET
ejpam-4579	48	27	conjugacy	conjugacy	PROPN
ejpam-4579	48	28	condition	condition	NOUN
ejpam-4579	48	29	:	:	PUNCT
ejpam-4579	48	30	dtk+1qdk	dtk+1qdk	PROPN
ejpam-4579	48	31	=	=	SYM
ejpam-4579	48	32	0	0	PROPN
ejpam-4579	48	33	(	(	PUNCT
ejpam-4579	48	34	13	13	NUM
ejpam-4579	48	35	)	)	PUNCT
ejpam-4579	48	36	to	to	PART
ejpam-4579	48	37	modify	modify	VERB
ejpam-4579	48	38	this	this	DET
ejpam-4579	48	39	method	method	NOUN
ejpam-4579	48	40	we	we	PRON
ejpam-4579	48	41	will	will	AUX
ejpam-4579	48	42	introduce	introduce	VERB
ejpam-4579	48	43	a	a	DET
ejpam-4579	48	44	good	good	ADJ
ejpam-4579	48	45	approximation	approximation	NOUN
ejpam-4579	48	46	to	to	ADP
ejpam-4579	48	47	the	the	DET
ejpam-4579	48	48	dtkqsk	dtkqsk	NOUN
ejpam-4579	48	49	.	.	PUNCT
ejpam-4579	49	1	so	so	ADV
ejpam-4579	49	2	by	by	ADP
ejpam-4579	49	3	taylor	taylor	PROPN
ejpam-4579	49	4	formula	formula	NOUN
ejpam-4579	49	5	we	we	PRON
ejpam-4579	49	6	have	have	VERB
ejpam-4579	49	7	:	:	PUNCT
ejpam-4579	49	8	f(u	f(u	ADJ
ejpam-4579	49	9	)	)	PUNCT
ejpam-4579	49	10	=	=	PUNCT
ejpam-4579	50	1	f(uk+1	f(uk+1	X
ejpam-4579	50	2	)	)	PUNCT
ejpam-4579	50	3	+	+	CCONJ
ejpam-4579	50	4	gtk+1(u−	gtk+1(u−	X
ejpam-4579	50	5	uk+1	uk+1	NOUN
ejpam-4579	50	6	)	)	PUNCT
ejpam-4579	50	7	+	+	CCONJ
ejpam-4579	50	8	1	1	NUM
ejpam-4579	50	9	2	2	NUM
ejpam-4579	50	10	(	(	PUNCT
ejpam-4579	50	11	u−	u−	PROPN
ejpam-4579	50	12	uk+1	uk+1	NOUN
ejpam-4579	50	13	)	)	PUNCT
ejpam-4579	50	14	tq(uk)(u−	tq(uk)(u−	X
ejpam-4579	50	15	uk+1	uk+1	NOUN
ejpam-4579	50	16	)	)	PUNCT
ejpam-4579	50	17	(	(	PUNCT
ejpam-4579	50	18	14	14	NUM
ejpam-4579	50	19	)	)	PUNCT
ejpam-4579	50	20	define	define	VERB
ejpam-4579	50	21	the	the	DET
ejpam-4579	50	22	gradient	gradient	ADJ
ejpam-4579	50	23	step	step	NOUN
ejpam-4579	50	24	:	:	PUNCT
ejpam-4579	50	25	gk+1	gk+1	NOUN
ejpam-4579	50	26	=	=	PUNCT
ejpam-4579	50	27	gk	gk	PROPN
ejpam-4579	50	28	+	+	NOUN
ejpam-4579	50	29	q(uk)sk	q(uk)sk	NOUN
ejpam-4579	50	30	(	(	PUNCT
ejpam-4579	50	31	15	15	NUM
ejpam-4579	50	32	)	)	PUNCT
ejpam-4579	50	33	note	note	NOUN
ejpam-4579	50	34	that	that	SCONJ
ejpam-4579	50	35	equation	equation	NOUN
ejpam-4579	50	36	(	(	PUNCT
ejpam-4579	50	37	14	14	NUM
ejpam-4579	50	38	)	)	PUNCT
ejpam-4579	50	39	and	and	CCONJ
ejpam-4579	50	40	equation	equation	NOUN
ejpam-4579	50	41	(	(	PUNCT
ejpam-4579	50	42	15	15	NUM
ejpam-4579	50	43	)	)	PUNCT
ejpam-4579	50	44	result	result	VERB
ejpam-4579	50	45	that	that	SCONJ
ejpam-4579	50	46	:	:	PUNCT
ejpam-4579	50	47	1/2stkq(uk)sk	1/2stkq(uk)sk	NUM
ejpam-4579	50	48	=	=	SYM
ejpam-4579	50	49	(	(	PUNCT
ejpam-4579	50	50	fk+1	fk+1	ADP
ejpam-4579	50	51	−	−	PROPN
ejpam-4579	50	52	fk	fk	INTJ
ejpam-4579	50	53	−	−	PROPN
ejpam-4579	50	54	gtk	gtk	NOUN
ejpam-4579	50	55	sk	sk	NOUN
ejpam-4579	50	56	)	)	PUNCT
ejpam-4579	50	57	(	(	PUNCT
ejpam-4579	50	58	16	16	NUM
ejpam-4579	50	59	)	)	PUNCT
ejpam-4579	50	60	b.	b.	PROPN
ejpam-4579	50	61	a.	a.	PROPN
ejpam-4579	50	62	hassan	hassan	PROPN
ejpam-4579	50	63	,	,	PUNCT
ejpam-4579	50	64	h.	h.	PROPN
ejpam-4579	50	65	a.	a.	PROPN
ejpam-4579	50	66	alashoor	alashoor	PROPN
ejpam-4579	50	67	/	/	SYM
ejpam-4579	50	68	eur	eur	PROPN
ejpam-4579	50	69	.	.	PUNCT
ejpam-4579	51	1	j.	j.	PROPN
ejpam-4579	51	2	pure	pure	PROPN
ejpam-4579	51	3	appl	appl	PROPN
ejpam-4579	51	4	.	.	PROPN
ejpam-4579	51	5	math	math	PROPN
ejpam-4579	51	6	,	,	PUNCT
ejpam-4579	51	7	15	15	NUM
ejpam-4579	51	8	(	(	PUNCT
ejpam-4579	51	9	4	4	NUM
ejpam-4579	51	10	)	)	PUNCT
ejpam-4579	51	11	(	(	PUNCT
ejpam-4579	51	12	2022	2022	NUM
ejpam-4579	51	13	)	)	PUNCT
ejpam-4579	51	14	,	,	PUNCT
ejpam-4579	51	15	2043	2043	NUM
ejpam-4579	51	16	-	-	SYM
ejpam-4579	51	17	2053	2053	NUM
ejpam-4579	51	18	2046	2046	NUM
ejpam-4579	51	19	now	now	ADV
ejpam-4579	51	20	,	,	PUNCT
ejpam-4579	51	21	by	by	ADP
ejpam-4579	51	22	equation	equation	NOUN
ejpam-4579	51	23	(	(	PUNCT
ejpam-4579	51	24	16	16	NUM
ejpam-4579	51	25	)	)	PUNCT
ejpam-4579	51	26	and	and	CCONJ
ejpam-4579	51	27	equation	equation	NOUN
ejpam-4579	51	28	(	(	PUNCT
ejpam-4579	51	29	6	6	NUM
ejpam-4579	51	30	)	)	PUNCT
ejpam-4579	51	31	we	we	PRON
ejpam-4579	51	32	can	can	AUX
ejpam-4579	51	33	see	see	VERB
ejpam-4579	51	34	that	that	PRON
ejpam-4579	51	35	:	:	PUNCT
ejpam-4579	52	1	dtkq(uk)sk	dtkq(uk)sk	X
ejpam-4579	52	2	=	=	SYM
ejpam-4579	52	3	(	(	PUNCT
ejpam-4579	52	4	fk+1	fk+1	ADP
ejpam-4579	52	5	−	−	NOUN
ejpam-4579	52	6	fk)/ak	fk)/ak	NOUN
ejpam-4579	52	7	−	−	PROPN
ejpam-4579	53	1	3/2dtk	3/2dtk	NUM
ejpam-4579	53	2	gk	gk	PROPN
ejpam-4579	53	3	(	(	PUNCT
ejpam-4579	53	4	17	17	NUM
ejpam-4579	53	5	)	)	PUNCT
ejpam-4579	53	6	using	use	VERB
ejpam-4579	53	7	(	(	PUNCT
ejpam-4579	53	8	12	12	NUM
ejpam-4579	53	9	)	)	PUNCT
ejpam-4579	53	10	and	and	CCONJ
ejpam-4579	53	11	(	(	PUNCT
ejpam-4579	53	12	17	17	NUM
ejpam-4579	53	13	)	)	PUNCT
ejpam-4579	53	14	,	,	PUNCT
ejpam-4579	53	15	we	we	PRON
ejpam-4579	53	16	obtain	obtain	VERB
ejpam-4579	53	17	the	the	DET
ejpam-4579	53	18	following	follow	VERB
ejpam-4579	53	19	formula	formula	NOUN
ejpam-4579	53	20	for	for	ADP
ejpam-4579	53	21	computing	compute	VERB
ejpam-4579	53	22	βk	βk	NOUN
ejpam-4579	53	23	:	:	PUNCT
ejpam-4579	53	24	βk	βk	ADJ
ejpam-4579	53	25	=	=	PUNCT
ejpam-4579	53	26	gtk+1yk	gtk+1yk	NOUN
ejpam-4579	53	27	(	(	PUNCT
ejpam-4579	53	28	fk+1	fk+1	NOUN
ejpam-4579	53	29	−	−	PROPN
ejpam-4579	53	30	fk)/αk	fk)/αk	NOUN
ejpam-4579	53	31	−	−	PROPN
ejpam-4579	53	32	3/2dtk	3/2dtk	PROPN
ejpam-4579	53	33	gk	gk	PROPN
ejpam-4579	53	34	(	(	PUNCT
ejpam-4579	53	35	18	18	NUM
ejpam-4579	53	36	)	)	PUNCT
ejpam-4579	53	37	on	on	ADP
ejpam-4579	53	38	the	the	DET
ejpam-4579	53	39	other	other	ADJ
ejpam-4579	53	40	hand	hand	NOUN
ejpam-4579	53	41	,	,	PUNCT
ejpam-4579	53	42	using	use	VERB
ejpam-4579	53	43	(	(	PUNCT
ejpam-4579	53	44	6	6	NUM
ejpam-4579	53	45	)	)	PUNCT
ejpam-4579	53	46	in	in	ADP
ejpam-4579	53	47	(	(	PUNCT
ejpam-4579	53	48	17	17	NUM
ejpam-4579	53	49	)	)	PUNCT
ejpam-4579	53	50	and	and	CCONJ
ejpam-4579	53	51	putting	put	VERB
ejpam-4579	53	52	in	in	ADP
ejpam-4579	53	53	(	(	PUNCT
ejpam-4579	53	54	12	12	NUM
ejpam-4579	53	55	)	)	PUNCT
ejpam-4579	53	56	,	,	PUNCT
ejpam-4579	53	57	then	then	ADV
ejpam-4579	53	58	got	get	VERB
ejpam-4579	53	59	another	another	DET
ejpam-4579	53	60	formula	formula	NOUN
ejpam-4579	53	61	:	:	PUNCT
ejpam-4579	53	62	βk	βk	ADP
ejpam-4579	53	63	=	=	PUNCT
ejpam-4579	53	64	gtk+1yk	gtk+1yk	NOUN
ejpam-4579	53	65	(	(	PUNCT
ejpam-4579	53	66	fk+1	fk+1	NOUN
ejpam-4579	53	67	−	−	PROPN
ejpam-4579	53	68	fk)/αk	fk)/αk	NOUN
ejpam-4579	53	69	+	+	CCONJ
ejpam-4579	53	70	3/2dtk	3/2dtk	NUM
ejpam-4579	53	71	yk	yk	PROPN
ejpam-4579	53	72	(	(	PUNCT
ejpam-4579	53	73	19	19	NUM
ejpam-4579	53	74	)	)	PUNCT
ejpam-4579	53	75	since	since	SCONJ
ejpam-4579	53	76	f	f	PROPN
ejpam-4579	53	77	is	be	AUX
ejpam-4579	53	78	quadratic	quadratic	ADJ
ejpam-4579	53	79	function	function	NOUN
ejpam-4579	53	80	and	and	CCONJ
ejpam-4579	53	81	exact	exact	ADJ
ejpam-4579	53	82	line	line	NOUN
ejpam-4579	53	83	search	search	NOUN
ejpam-4579	53	84	is	be	AUX
ejpam-4579	53	85	employed	employ	VERB
ejpam-4579	53	86	,	,	PUNCT
ejpam-4579	53	87	then	then	ADV
ejpam-4579	53	88	:	:	PUNCT
ejpam-4579	53	89	βk	βk	ADP
ejpam-4579	53	90	=	=	PUNCT
ejpam-4579	53	91	∥gk+1|2	∥gk+1|2	NOUN
ejpam-4579	53	92	(	(	PUNCT
ejpam-4579	53	93	fk+1	fk+1	NOUN
ejpam-4579	53	94	−	−	PROPN
ejpam-4579	53	95	fk)/αk	fk)/αk	NOUN
ejpam-4579	53	96	−	−	PROPN
ejpam-4579	53	97	3/2dtk	3/2dtk	NUM
ejpam-4579	53	98	gk	gk	PROPN
ejpam-4579	53	99	(	(	PUNCT
ejpam-4579	53	100	20	20	NUM
ejpam-4579	53	101	)	)	PUNCT
ejpam-4579	53	102	and	and	CCONJ
ejpam-4579	53	103	βk	βk	NOUN
ejpam-4579	53	104	=	=	PUNCT
ejpam-4579	53	105	∥gk+1|2	∥gk+1|2	NOUN
ejpam-4579	53	106	(	(	PUNCT
ejpam-4579	53	107	fk+1	fk+1	NOUN
ejpam-4579	53	108	−	−	PROPN
ejpam-4579	53	109	fk)/αk	fk)/αk	NOUN
ejpam-4579	53	110	+	+	CCONJ
ejpam-4579	53	111	3/2dtk	3/2dtk	NUM
ejpam-4579	53	112	yk	yk	PROPN
ejpam-4579	53	113	(	(	PUNCT
ejpam-4579	53	114	21	21	NUM
ejpam-4579	53	115	)	)	PUNCT
ejpam-4579	53	116	given	give	VERB
ejpam-4579	53	117	our	our	PRON
ejpam-4579	53	118	formula	formula	NOUN
ejpam-4579	53	119	for	for	ADP
ejpam-4579	53	120	modified	modified	ADJ
ejpam-4579	53	121	hy	hy	NOUN
ejpam-4579	53	122	formula	formula	NOUN
ejpam-4579	53	123	,	,	PUNCT
ejpam-4579	53	124	so	so	ADV
ejpam-4579	53	125	-	-	PUNCT
ejpam-4579	53	126	called	call	VERB
ejpam-4579	53	127	bnc	bnc	NOUN
ejpam-4579	53	128	and	and	CCONJ
ejpam-4579	53	129	btc	btc	PROPN
ejpam-4579	53	130	.	.	PUNCT
ejpam-4579	54	1	at	at	ADP
ejpam-4579	54	2	this	this	DET
ejpam-4579	54	3	point	point	NOUN
ejpam-4579	54	4	,	,	PUNCT
ejpam-4579	54	5	we	we	PRON
ejpam-4579	54	6	describe	describe	VERB
ejpam-4579	54	7	a	a	DET
ejpam-4579	54	8	new	new	ADJ
ejpam-4579	54	9	algorithm	algorithm	NOUN
ejpam-4579	54	10	,	,	PUNCT
ejpam-4579	54	11	called	call	VERB
ejpam-4579	54	12	bnc	bnc	NOUN
ejpam-4579	54	13	and	and	CCONJ
ejpam-4579	54	14	btc	btc	PROPN
ejpam-4579	54	15	.	.	PUNCT
ejpam-4579	55	1	algorithms	algorithm	NOUN
ejpam-4579	55	2	bnc	bnc	NOUN
ejpam-4579	55	3	and	and	CCONJ
ejpam-4579	55	4	btc	btc	PROPN
ejpam-4579	55	5	.	.	PUNCT
ejpam-4579	56	1	stage	stage	NOUN
ejpam-4579	56	2	1	1	NUM
ejpam-4579	56	3	.	.	PUNCT
ejpam-4579	57	1	an	an	DET
ejpam-4579	57	2	initial	initial	ADJ
ejpam-4579	57	3	point	point	NOUN
ejpam-4579	57	4	u1	u1	NOUN
ejpam-4579	57	5	.	.	PUNCT
ejpam-4579	58	1	set	set	VERB
ejpam-4579	58	2	d1	d1	PROPN
ejpam-4579	58	3	=	=	PUNCT
ejpam-4579	59	1	−g1	−g1	VERB
ejpam-4579	59	2	.	.	PUNCT
ejpam-4579	60	1	if	if	SCONJ
ejpam-4579	60	2	∥g1|	∥g1|	PROPN
ejpam-4579	60	3	=	=	SYM
ejpam-4579	60	4	10−6	10−6	NUM
ejpam-4579	60	5	,	,	PUNCT
ejpam-4579	60	6	then	then	ADV
ejpam-4579	60	7	stop	stop	VERB
ejpam-4579	60	8	.	.	PUNCT
ejpam-4579	60	9	stage	stage	NOUN
ejpam-4579	60	10	2	2	NUM
ejpam-4579	60	11	.	.	PUNCT
ejpam-4579	60	12	determine	determine	VERB
ejpam-4579	60	13	the	the	DET
ejpam-4579	60	14	αk	αk	NOUN
ejpam-4579	60	15	>	>	X
ejpam-4579	60	16	0	0	PUNCT
ejpam-4579	61	1	satisfying	satisfy	VERB
ejpam-4579	61	2	the	the	DET
ejpam-4579	61	3	wolfe	wolfe	PROPN
ejpam-4579	61	4	conditions	condition	NOUN
ejpam-4579	61	5	(	(	PUNCT
ejpam-4579	61	6	7	7	NUM
ejpam-4579	61	7	)	)	PUNCT
ejpam-4579	61	8	and	and	CCONJ
ejpam-4579	61	9	(	(	PUNCT
ejpam-4579	61	10	8)	8)	NUM
ejpam-4579	61	11	.	.	NOUN
ejpam-4579	61	12	stage	stage	NOUN
ejpam-4579	61	13	3	3	NUM
ejpam-4579	61	14	.	.	PUNCT
ejpam-4579	62	1	let	let	VERB
ejpam-4579	62	2	xk+1	xk+1	NOUN
ejpam-4579	62	3	=	=	SYM
ejpam-4579	62	4	xk	xk	PROPN
ejpam-4579	63	1	+	+	CCONJ
ejpam-4579	63	2	αkdk	αkdk	NOUN
ejpam-4579	63	3	and	and	CCONJ
ejpam-4579	63	4	gk+1	gk+1	NOUN
ejpam-4579	63	5	=	=	SYM
ejpam-4579	63	6	g(xk+1	g(xk+1	NOUN
ejpam-4579	63	7	)	)	PUNCT
ejpam-4579	63	8	.	.	PUNCT
ejpam-4579	64	1	if	if	SCONJ
ejpam-4579	64	2	∥gk+1|	∥gk+1|	ADJ
ejpam-4579	64	3	=	=	SYM
ejpam-4579	64	4	10−6	10−6	NUM
ejpam-4579	64	5	,	,	PUNCT
ejpam-4579	64	6	then	then	ADV
ejpam-4579	64	7	stop	stop	VERB
ejpam-4579	64	8	.	.	PUNCT
ejpam-4579	65	1	stage	stage	PROPN
ejpam-4579	65	2	4	4	NUM
ejpam-4579	65	3	.	.	PUNCT
ejpam-4579	65	4	compute	compute	NOUN
ejpam-4579	65	5	βk	βk	ADP
ejpam-4579	65	6	by	by	ADP
ejpam-4579	65	7	the	the	DET
ejpam-4579	65	8	formulae	formulae	NOUN
ejpam-4579	65	9	(	(	PUNCT
ejpam-4579	65	10	20	20	NUM
ejpam-4579	65	11	-	-	SYM
ejpam-4579	65	12	21	21	NUM
ejpam-4579	65	13	)	)	PUNCT
ejpam-4579	65	14	,	,	PUNCT
ejpam-4579	65	15	then	then	ADV
ejpam-4579	65	16	generate	generate	VERB
ejpam-4579	65	17	dk+1	dk+1	NOUN
ejpam-4579	65	18	by	by	ADP
ejpam-4579	65	19	(	(	PUNCT
ejpam-4579	65	20	9	9	NUM
ejpam-4579	65	21	)	)	PUNCT
ejpam-4579	65	22	.	.	PUNCT
ejpam-4579	66	1	stage	stage	NOUN
ejpam-4579	66	2	5	5	NUM
ejpam-4579	66	3	.	.	PUNCT
ejpam-4579	67	1	set	set	VERB
ejpam-4579	67	2	k	k	PROPN
ejpam-4579	68	1	=	=	PUNCT
ejpam-4579	68	2	k	k	PROPN
ejpam-4579	69	1	+	+	CCONJ
ejpam-4579	69	2	1	1	NUM
ejpam-4579	69	3	and	and	CCONJ
ejpam-4579	69	4	continue	continue	VERB
ejpam-4579	69	5	with	with	ADP
ejpam-4579	69	6	step	step	NOUN
ejpam-4579	69	7	2	2	NUM
ejpam-4579	69	8	.	.	PUNCT
ejpam-4579	70	1	the	the	DET
ejpam-4579	70	2	nice	nice	ADJ
ejpam-4579	70	3	property	property	NOUN
ejpam-4579	70	4	for	for	ADP
ejpam-4579	70	5	any	any	DET
ejpam-4579	70	6	a	a	DET
ejpam-4579	70	7	good	good	ADJ
ejpam-4579	70	8	algorithm	algorithm	NOUN
ejpam-4579	70	9	should	should	AUX
ejpam-4579	70	10	accomplish	accomplish	VERB
ejpam-4579	70	11	the	the	DET
ejpam-4579	70	12	sufficient	sufficient	ADJ
ejpam-4579	70	13	descent	descent	NOUN
ejpam-4579	70	14	condition	condition	NOUN
ejpam-4579	70	15	.	.	PUNCT
ejpam-4579	71	1	specially	specially	ADV
ejpam-4579	71	2	,	,	PUNCT
ejpam-4579	71	3	in	in	ADP
ejpam-4579	71	4	this	this	DET
ejpam-4579	71	5	study	study	NOUN
ejpam-4579	71	6	will	will	AUX
ejpam-4579	71	7	provide	provide	VERB
ejpam-4579	71	8	additional	additional	ADJ
ejpam-4579	71	9	property	property	NOUN
ejpam-4579	71	10	are	be	AUX
ejpam-4579	71	11	very	very	ADV
ejpam-4579	71	12	vital	vital	ADJ
ejpam-4579	71	13	in	in	ADP
ejpam-4579	71	14	the	the	DET
ejpam-4579	71	15	convergence	convergence	NOUN
ejpam-4579	71	16	proving	proving	NOUN
ejpam-4579	71	17	.	.	PUNCT
ejpam-4579	72	1	summarizing	summarize	VERB
ejpam-4579	72	2	the	the	DET
ejpam-4579	72	3	above	above	ADJ
ejpam-4579	72	4	discussion	discussion	NOUN
ejpam-4579	72	5	,	,	PUNCT
ejpam-4579	72	6	the	the	DET
ejpam-4579	72	7	following	follow	VERB
ejpam-4579	72	8	theorem	theorem	NOUN
ejpam-4579	72	9	is	be	AUX
ejpam-4579	72	10	obtained	obtain	VERB
ejpam-4579	72	11	.	.	PUNCT
ejpam-4579	73	1	theorem	theorem	NOUN
ejpam-4579	73	2	1	1	NUM
ejpam-4579	73	3	.	.	PUNCT
ejpam-4579	74	1	let	let	VERB
ejpam-4579	74	2	xk	xk	PROPN
ejpam-4579	74	3	and	and	CCONJ
ejpam-4579	74	4	dk	dk	PROPN
ejpam-4579	74	5	be	be	AUX
ejpam-4579	74	6	generated	generate	VERB
ejpam-4579	74	7	by	by	ADP
ejpam-4579	74	8	bnc	bnc	NOUN
ejpam-4579	74	9	method	method	NOUN
ejpam-4579	74	10	,	,	PUNCT
ejpam-4579	74	11	then	then	ADV
ejpam-4579	74	12	we	we	PRON
ejpam-4579	74	13	obtain	obtain	VERB
ejpam-4579	74	14	:	:	PUNCT
ejpam-4579	74	15	dtk+1gk+1	dtk+1gk+1	X
ejpam-4579	74	16	<	<	X
ejpam-4579	74	17	0	0	NUM
ejpam-4579	75	1	and	and	CCONJ
ejpam-4579	75	2	dtk+1gk+1	dtk+1gk+1	PRON
ejpam-4579	76	1	=	=	NOUN
ejpam-4579	76	2	βkd	βkd	PROPN
ejpam-4579	77	1	t	t	PROPN
ejpam-4579	77	2	k	k	PROPN
ejpam-4579	77	3	gk	gk	PROPN
ejpam-4579	77	4	(	(	PUNCT
ejpam-4579	77	5	22	22	NUM
ejpam-4579	77	6	)	)	PUNCT
ejpam-4579	77	7	proof	proof	NOUN
ejpam-4579	77	8	.	.	PUNCT
ejpam-4579	78	1	it	it	PRON
ejpam-4579	78	2	is	be	AUX
ejpam-4579	78	3	visible	visible	ADJ
ejpam-4579	78	4	that	that	SCONJ
ejpam-4579	78	5	dk	dk	PRON
ejpam-4579	78	6	=	=	PUNCT
ejpam-4579	78	7	−gk	−gk	NOUN
ejpam-4579	78	8	satisfies	satisfy	VERB
ejpam-4579	78	9	dt1	dt1	PROPN
ejpam-4579	78	10	g1	g1	PROPN
ejpam-4579	78	11	<	<	X
ejpam-4579	78	12	0	0	X
ejpam-4579	78	13	.	.	PUNCT
ejpam-4579	78	14	suppose	suppose	VERB
ejpam-4579	78	15	that	that	SCONJ
ejpam-4579	78	16	dtk	dtk	PROPN
ejpam-4579	78	17	gk	gk	PROPN
ejpam-4579	78	18	<	<	X
ejpam-4579	78	19	0	0	NUM
ejpam-4579	78	20	for	for	ADP
ejpam-4579	78	21	any	any	DET
ejpam-4579	78	22	k.	k.	NOUN
ejpam-4579	78	23	directly	directly	ADV
ejpam-4579	78	24	from	from	ADP
ejpam-4579	78	25	(	(	PUNCT
ejpam-4579	78	26	11	11	NUM
ejpam-4579	78	27	)	)	PUNCT
ejpam-4579	78	28	and	and	CCONJ
ejpam-4579	79	1	(	(	PUNCT
ejpam-4579	79	2	21	21	NUM
ejpam-4579	79	3	)	)	PUNCT
ejpam-4579	79	4	we	we	PRON
ejpam-4579	79	5	conclude	conclude	VERB
ejpam-4579	79	6	that	that	PRON
ejpam-4579	79	7	:	:	PUNCT
ejpam-4579	79	8	dtk+1gk+1	dtk+1gk+1	X
ejpam-4579	79	9	=	=	SYM
ejpam-4579	80	1	−gtk+1gk+1	−gtk+1gk+1	PROPN
ejpam-4579	81	1	+	+	CCONJ
ejpam-4579	81	2	βkd	βkd	VERB
ejpam-4579	81	3	t	t	PROPN
ejpam-4579	81	4	k	k	X
ejpam-4579	81	5	gk+1	gk+1	NOUN
ejpam-4579	81	6	=	=	PUNCT
ejpam-4579	81	7	−βk((fk+1	−βk((fk+1	NOUN
ejpam-4579	82	1	−	−	NOUN
ejpam-4579	82	2	fk)/ak	fk)/ak	NOUN
ejpam-4579	82	3	−	−	PROPN
ejpam-4579	82	4	3/2dtk	3/2dtk	PROPN
ejpam-4579	82	5	gk	gk	PROPN
ejpam-4579	82	6	)	)	PUNCT
ejpam-4579	83	1	+	+	NUM
ejpam-4579	83	2	βkd	βkd	PUNCT
ejpam-4579	83	3	t	t	PROPN
ejpam-4579	83	4	k	k	X
ejpam-4579	83	5	gk+1	gk+1	X
ejpam-4579	83	6	(	(	PUNCT
ejpam-4579	83	7	23	23	NUM
ejpam-4579	83	8	)	)	PUNCT
ejpam-4579	83	9	b.	b.	PROPN
ejpam-4579	83	10	a.	a.	PROPN
ejpam-4579	83	11	hassan	hassan	PROPN
ejpam-4579	83	12	,	,	PUNCT
ejpam-4579	83	13	h.	h.	PROPN
ejpam-4579	83	14	a.	a.	PROPN
ejpam-4579	83	15	alashoor	alashoor	PROPN
ejpam-4579	83	16	/	/	SYM
ejpam-4579	83	17	eur	eur	PROPN
ejpam-4579	83	18	.	.	PUNCT
ejpam-4579	84	1	j.	j.	PROPN
ejpam-4579	84	2	pure	pure	PROPN
ejpam-4579	84	3	appl	appl	PROPN
ejpam-4579	84	4	.	.	PROPN
ejpam-4579	84	5	math	math	PROPN
ejpam-4579	84	6	,	,	PUNCT
ejpam-4579	84	7	15	15	NUM
ejpam-4579	84	8	(	(	PUNCT
ejpam-4579	84	9	4	4	NUM
ejpam-4579	84	10	)	)	PUNCT
ejpam-4579	84	11	(	(	PUNCT
ejpam-4579	84	12	2022	2022	NUM
ejpam-4579	84	13	)	)	PUNCT
ejpam-4579	84	14	,	,	PUNCT
ejpam-4579	84	15	2043	2043	NUM
ejpam-4579	84	16	-	-	SYM
ejpam-4579	84	17	2053	2053	NUM
ejpam-4579	84	18	2047	2047	NUM
ejpam-4579	84	19	since	since	SCONJ
ejpam-4579	84	20	the	the	DET
ejpam-4579	84	21	gradient	gradient	NOUN
ejpam-4579	84	22	of	of	ADP
ejpam-4579	84	23	the	the	DET
ejpam-4579	84	24	function	function	NOUN
ejpam-4579	84	25	(	(	PUNCT
ejpam-4579	84	26	14	14	NUM
ejpam-4579	84	27	)	)	PUNCT
ejpam-4579	84	28	is	be	AUX
ejpam-4579	84	29	(	(	PUNCT
ejpam-4579	84	30	15	15	NUM
ejpam-4579	84	31	)	)	PUNCT
ejpam-4579	84	32	,	,	PUNCT
ejpam-4579	84	33	we	we	PRON
ejpam-4579	84	34	can	can	AUX
ejpam-4579	84	35	conclude	conclude	VERB
ejpam-4579	84	36	that	that	PRON
ejpam-4579	84	37	:	:	PUNCT
ejpam-4579	84	38	dtk+1gk+1	dtk+1gk+1	X
ejpam-4579	84	39	=	=	NOUN
ejpam-4579	85	1	βkd	βkd	PROPN
ejpam-4579	85	2	t	t	PROPN
ejpam-4579	85	3	k	k	PROPN
ejpam-4579	85	4	gk	gk	PROPN
ejpam-4579	85	5	(	(	PUNCT
ejpam-4579	85	6	24	24	NUM
ejpam-4579	85	7	)	)	PUNCT
ejpam-4579	85	8	because	because	SCONJ
ejpam-4579	85	9	dtk	dtk	PROPN
ejpam-4579	85	10	gk	gk	PROPN
ejpam-4579	85	11	<	<	X
ejpam-4579	85	12	0	0	PROPN
ejpam-4579	85	13	,	,	PUNCT
ejpam-4579	85	14	then	then	ADV
ejpam-4579	85	15	we	we	PRON
ejpam-4579	85	16	obtain	obtain	VERB
ejpam-4579	85	17	:	:	PUNCT
ejpam-4579	85	18	dtk+1gk+1	dtk+1gk+1	X
ejpam-4579	85	19	<	<	X
ejpam-4579	85	20	0	0	X
ejpam-4579	85	21	(	(	PUNCT
ejpam-4579	85	22	25	25	NUM
ejpam-4579	85	23	)	)	PUNCT
ejpam-4579	85	24	so	so	SCONJ
ejpam-4579	85	25	the	the	DET
ejpam-4579	85	26	proof	proof	NOUN
ejpam-4579	85	27	is	be	AUX
ejpam-4579	85	28	completed	complete	VERB
ejpam-4579	85	29	.	.	PUNCT
ejpam-4579	86	1	a	a	DET
ejpam-4579	86	2	similar	similar	ADJ
ejpam-4579	86	3	result	result	NOUN
ejpam-4579	86	4	holds	hold	VERB
ejpam-4579	86	5	for	for	ADP
ejpam-4579	86	6	the	the	DET
ejpam-4579	86	7	btc	btc	ADJ
ejpam-4579	86	8	formula	formula	NOUN
ejpam-4579	86	9	.	.	PUNCT
ejpam-4579	87	1	3	3	X
ejpam-4579	87	2	.	.	X
ejpam-4579	87	3	convergence	convergence	NOUN
ejpam-4579	87	4	analysis	analysis	NOUN
ejpam-4579	87	5	in	in	ADP
ejpam-4579	87	6	order	order	NOUN
ejpam-4579	87	7	to	to	PART
ejpam-4579	87	8	analyze	analyze	VERB
ejpam-4579	87	9	the	the	DET
ejpam-4579	87	10	global	global	ADJ
ejpam-4579	87	11	convergence	convergence	NOUN
ejpam-4579	87	12	of	of	ADP
ejpam-4579	87	13	the	the	DET
ejpam-4579	87	14	bdc	bdc	PROPN
ejpam-4579	87	15	and	and	CCONJ
ejpam-4579	87	16	btc	btc	ADJ
ejpam-4579	87	17	methods	method	NOUN
ejpam-4579	87	18	,	,	PUNCT
ejpam-4579	87	19	we	we	PRON
ejpam-4579	87	20	begin	begin	VERB
ejpam-4579	87	21	by	by	ADP
ejpam-4579	87	22	impose	impose	VERB
ejpam-4579	87	23	the	the	DET
ejpam-4579	87	24	following	follow	VERB
ejpam-4579	87	25	assumptions	assumption	NOUN
ejpam-4579	87	26	:	:	PUNCT
ejpam-4579	88	1	[	[	X
ejpam-4579	88	2	1	1	X
ejpam-4579	88	3	]	]	PUNCT
ejpam-4579	88	4	the	the	DET
ejpam-4579	88	5	level	level	NOUN
ejpam-4579	88	6	set	set	VERB
ejpam-4579	88	7	“	"	PUNCT
ejpam-4579	88	8	d	d	NOUN
ejpam-4579	88	9	=	=	SYM
ejpam-4579	88	10	u	u	NOUN
ejpam-4579	88	11	/	/	SYM
ejpam-4579	88	12	f(u	f(u	PROPN
ejpam-4579	88	13	)	)	PUNCT
ejpam-4579	88	14	≤	≤	NOUN
ejpam-4579	88	15	f(u0	f(u0	NOUN
ejpam-4579	88	16	)	)	PUNCT
ejpam-4579	88	17	”	"	PUNCT
ejpam-4579	88	18	is	be	AUX
ejpam-4579	88	19	bounded	bound	VERB
ejpam-4579	88	20	,	,	PUNCT
ejpam-4579	88	21	where	where	SCONJ
ejpam-4579	88	22	u0	u0	ADJ
ejpam-4579	88	23	is	be	AUX
ejpam-4579	88	24	the	the	DET
ejpam-4579	88	25	starting	starting	NOUN
ejpam-4579	88	26	point	point	NOUN
ejpam-4579	88	27	.	.	PUNCT
ejpam-4579	89	1	[	[	X
ejpam-4579	89	2	2	2	X
ejpam-4579	89	3	]	]	PUNCT
ejpam-4579	89	4	the	the	DET
ejpam-4579	89	5	gradientis	gradientis	NOUN
ejpam-4579	89	6	is	be	AUX
ejpam-4579	89	7	lipschitz	lipschitz	VERB
ejpam-4579	89	8	continuous	continuous	ADJ
ejpam-4579	89	9	in	in	ADP
ejpam-4579	89	10	some	some	DET
ejpam-4579	89	11	neighborhood	neighborhood	NOUN
ejpam-4579	89	12	d	d	NOUN
ejpam-4579	89	13	which	which	PRON
ejpam-4579	89	14	contains	contain	VERB
ejpam-4579	89	15	l0	l0	PROPN
ejpam-4579	89	16	;	;	PUNCT
ejpam-4579	89	17	i.e.	i.e.	X
ejpam-4579	89	18	there	there	PRON
ejpam-4579	89	19	exist	exist	VERB
ejpam-4579	89	20	l	l	NOUN
ejpam-4579	89	21	,	,	PUNCT
ejpam-4579	89	22	such	such	ADJ
ejpam-4579	89	23	that	that	SCONJ
ejpam-4579	89	24	:	:	PUNCT
ejpam-4579	89	25	∥g(υ)−	∥g(υ)−	ADP
ejpam-4579	89	26	g(ω)|	g(ω)|	PUNCT
ejpam-4579	89	27	≤	≤	NUM
ejpam-4579	89	28	l∥υ	l∥υ	PROPN
ejpam-4579	89	29	−	−	PROPN
ejpam-4579	89	30	ω|	ω|	PROPN
ejpam-4579	89	31	,	,	PUNCT
ejpam-4579	89	32	∀υ	∀υ	NOUN
ejpam-4579	89	33	,	,	PUNCT
ejpam-4579	89	34	ω	ω	PROPN
ejpam-4579	89	35	∈	∈	PROPN
ejpam-4579	89	36	d.	d.	NOUN
ejpam-4579	89	37	(	(	PUNCT
ejpam-4579	89	38	26	26	NUM
ejpam-4579	89	39	)	)	PUNCT
ejpam-4579	89	40	for	for	ADP
ejpam-4579	89	41	more	more	ADJ
ejpam-4579	89	42	details	detail	NOUN
ejpam-4579	89	43	see	see	VERB
ejpam-4579	89	44	[	[	X
ejpam-4579	89	45	2],[5	2],[5	NUM
ejpam-4579	89	46	]	]	PUNCT
ejpam-4579	89	47	.	.	PUNCT
ejpam-4579	90	1	in	in	ADP
ejpam-4579	90	2	[	[	X
ejpam-4579	90	3	18	18	NUM
ejpam-4579	90	4	]	]	PUNCT
ejpam-4579	90	5	,	,	PUNCT
ejpam-4579	90	6	zoutendijk	zoutendijk	PROPN
ejpam-4579	90	7	introduced	introduce	VERB
ejpam-4579	90	8	the	the	DET
ejpam-4579	90	9	general	general	ADJ
ejpam-4579	90	10	result	result	NOUN
ejpam-4579	90	11	are	be	AUX
ejpam-4579	90	12	important	important	ADJ
ejpam-4579	90	13	feature	feature	NOUN
ejpam-4579	90	14	in	in	ADP
ejpam-4579	90	15	proving	prove	VERB
ejpam-4579	90	16	the	the	DET
ejpam-4579	90	17	convergence	convergence	NOUN
ejpam-4579	90	18	results	result	VERB
ejpam-4579	90	19	.	.	PUNCT
ejpam-4579	91	1	lemma	lemma	PROPN
ejpam-4579	91	2	1	1	X
ejpam-4579	91	3	.	.	PUNCT
ejpam-4579	92	1	let	let	VERB
ejpam-4579	92	2	the	the	DET
ejpam-4579	92	3	assumptions	assumption	NOUN
ejpam-4579	92	4	(	(	PUNCT
ejpam-4579	92	5	1	1	NUM
ejpam-4579	92	6	)	)	PUNCT
ejpam-4579	92	7	and	and	CCONJ
ejpam-4579	92	8	(	(	PUNCT
ejpam-4579	92	9	2	2	X
ejpam-4579	92	10	)	)	PUNCT
ejpam-4579	92	11	holds	hold	VERB
ejpam-4579	92	12	true	true	ADJ
ejpam-4579	92	13	.	.	PUNCT
ejpam-4579	93	1	if	if	SCONJ
ejpam-4579	93	2	the	the	DET
ejpam-4579	93	3	direction	direction	NOUN
ejpam-4579	93	4	dk	dk	PROPN
ejpam-4579	93	5	is	be	AUX
ejpam-4579	93	6	descent	descent	NOUN
ejpam-4579	93	7	and	and	CCONJ
ejpam-4579	93	8	the	the	DET
ejpam-4579	93	9	sequence	sequence	NOUN
ejpam-4579	93	10	generated	generate	VERB
ejpam-4579	93	11	by	by	ADP
ejpam-4579	93	12	(	(	PUNCT
ejpam-4579	93	13	5	5	NUM
ejpam-4579	93	14	)	)	PUNCT
ejpam-4579	93	15	where	where	SCONJ
ejpam-4579	93	16	αk	αk	ADP
ejpam-4579	93	17	satisfies	satisfie	NOUN
ejpam-4579	93	18	(	(	PUNCT
ejpam-4579	93	19	7	7	NUM
ejpam-4579	93	20	)	)	PUNCT
ejpam-4579	93	21	and	and	CCONJ
ejpam-4579	93	22	(	(	PUNCT
ejpam-4579	93	23	8)	8)	NUM
ejpam-4579	93	24	,	,	PUNCT
ejpam-4579	93	25	then	then	ADV
ejpam-4579	93	26	:	:	PUNCT
ejpam-4579	93	27	∞∑	∞∑	NUM
ejpam-4579	93	28	k=1	k=1	X
ejpam-4579	93	29	(	(	PUNCT
ejpam-4579	93	30	gtk	gtk	NOUN
ejpam-4579	93	31	dk	dk	PROPN
ejpam-4579	93	32	)	)	PUNCT
ejpam-4579	93	33	2	2	NUM
ejpam-4579	93	34	∥dk|2	∥dk|2	VERB
ejpam-4579	93	35	<	<	X
ejpam-4579	93	36	∞.	∞.	PROPN
ejpam-4579	93	37	(	(	PUNCT
ejpam-4579	93	38	27	27	NUM
ejpam-4579	93	39	)	)	PUNCT
ejpam-4579	93	40	theorem	theorem	NOUN
ejpam-4579	93	41	2	2	NUM
ejpam-4579	93	42	.	.	PUNCT
ejpam-4579	93	43	suppose	suppose	VERB
ejpam-4579	93	44	that	that	SCONJ
ejpam-4579	93	45	assumptions	assumption	NOUN
ejpam-4579	93	46	(	(	PUNCT
ejpam-4579	93	47	1	1	NUM
ejpam-4579	93	48	)	)	PUNCT
ejpam-4579	93	49	and	and	CCONJ
ejpam-4579	93	50	(	(	PUNCT
ejpam-4579	93	51	2	2	X
ejpam-4579	93	52	)	)	PUNCT
ejpam-4579	93	53	hold	hold	NOUN
ejpam-4579	93	54	.	.	PUNCT
ejpam-4579	94	1	if	if	SCONJ
ejpam-4579	94	2	formula	formula	NOUN
ejpam-4579	94	3	βk	βk	ADP
ejpam-4579	94	4	satisfies	satisfie	NOUN
ejpam-4579	94	5	(	(	PUNCT
ejpam-4579	94	6	21	21	NUM
ejpam-4579	94	7	)	)	PUNCT
ejpam-4579	94	8	,	,	PUNCT
ejpam-4579	94	9	then	then	ADV
ejpam-4579	94	10	then	then	ADV
ejpam-4579	94	11	we	we	PRON
ejpam-4579	94	12	have	have	VERB
ejpam-4579	94	13	:	:	PUNCT
ejpam-4579	94	14	lim	lim	PROPN
ejpam-4579	94	15	k→∞	k→∞	PROPN
ejpam-4579	94	16	inf	inf	PROPN
ejpam-4579	94	17	|gk|	|gk|	ADJ
ejpam-4579	94	18	=	=	SYM
ejpam-4579	94	19	0	0	NUM
ejpam-4579	94	20	.	.	PUNCT
ejpam-4579	95	1	(	(	PUNCT
ejpam-4579	95	2	28	28	NUM
ejpam-4579	95	3	)	)	PUNCT
ejpam-4579	95	4	proof	proof	NOUN
ejpam-4579	95	5	.	.	PUNCT
ejpam-4579	96	1	the	the	DET
ejpam-4579	96	2	prove	prove	NOUN
ejpam-4579	96	3	is	be	AUX
ejpam-4579	96	4	by	by	ADP
ejpam-4579	96	5	induction	induction	NOUN
ejpam-4579	96	6	∥gk|	∥gk|	ADV
ejpam-4579	96	7	=	=	SYM
ejpam-4579	96	8	̸	̸	NUM
ejpam-4579	96	9	0	0	NUM
ejpam-4579	97	1	for	for	ADP
ejpam-4579	97	2	all	all	DET
ejpam-4579	97	3	k	k	PROPN
ejpam-4579	97	4	∈	∈	PROPN
ejpam-4579	97	5	n.	n.	NOUN
ejpam-4579	97	6	rewriting	rewriting	NOUN
ejpam-4579	97	7	(	(	PUNCT
ejpam-4579	97	8	9	9	NUM
ejpam-4579	97	9	)	)	PUNCT
ejpam-4579	97	10	as	as	ADV
ejpam-4579	97	11	dk+1+gk+1	dk+1+gk+1	ADV
ejpam-4579	97	12	=	=	PUNCT
ejpam-4579	97	13	βkdk	βkdk	NOUN
ejpam-4579	97	14	.	.	PUNCT
ejpam-4579	98	1	accordingly	accordingly	ADV
ejpam-4579	98	2	,	,	PUNCT
ejpam-4579	98	3	squaring	square	VERB
ejpam-4579	98	4	both	both	DET
ejpam-4579	98	5	sides	side	NOUN
ejpam-4579	98	6	,	,	PUNCT
ejpam-4579	98	7	we	we	PRON
ejpam-4579	98	8	have	have	AUX
ejpam-4579	98	9	:	:	PUNCT
ejpam-4579	98	10	|dk+1|2	|dk+1|2	X
ejpam-4579	98	11	+	+	CCONJ
ejpam-4579	98	12	|gk+1|2	|gk+1|2	X
ejpam-4579	98	13	+	+	CCONJ
ejpam-4579	98	14	2dtk+1gk+1	2dtk+1gk+1	NUM
ejpam-4579	98	15	=	=	SYM
ejpam-4579	98	16	(	(	PUNCT
ejpam-4579	98	17	βk	βk	NOUN
ejpam-4579	98	18	)	)	PUNCT
ejpam-4579	98	19	2|dk|2	2|dk|2	NUM
ejpam-4579	98	20	(	(	PUNCT
ejpam-4579	98	21	29	29	NUM
ejpam-4579	98	22	)	)	PUNCT
ejpam-4579	98	23	using	use	VERB
ejpam-4579	98	24	(	(	PUNCT
ejpam-4579	98	25	23	23	NUM
ejpam-4579	98	26	)	)	PUNCT
ejpam-4579	98	27	to	to	ADP
ejpam-4579	98	28	(	(	PUNCT
ejpam-4579	98	29	27	27	NUM
ejpam-4579	98	30	)	)	PUNCT
ejpam-4579	98	31	implies	imply	VERB
ejpam-4579	98	32	:	:	PUNCT
ejpam-4579	98	33	|dk+1|2	|dk+1|2	X
ejpam-4579	98	34	=	=	SYM
ejpam-4579	98	35	(	(	PUNCT
ejpam-4579	98	36	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4579	98	37	)	)	PUNCT
ejpam-4579	98	38	2	2	NUM
ejpam-4579	98	39	(	(	PUNCT
ejpam-4579	98	40	dtk	dtk	PROPN
ejpam-4579	98	41	gk	gk	PROPN
ejpam-4579	98	42	)	)	PUNCT
ejpam-4579	98	43	2	2	NUM
ejpam-4579	98	44	|dk|2	|dk|2	PUNCT
ejpam-4579	98	45	−	−	ADP
ejpam-4579	98	46	2dtk+1gk+1	2dtk+1gk+1	NOUN
ejpam-4579	98	47	−	−	X
ejpam-4579	98	48	|gk+1|2	|gk+1|2	X
ejpam-4579	98	49	(	(	PUNCT
ejpam-4579	98	50	30	30	NUM
ejpam-4579	98	51	)	)	PUNCT
ejpam-4579	98	52	b.	b.	PROPN
ejpam-4579	98	53	a.	a.	PROPN
ejpam-4579	98	54	hassan	hassan	PROPN
ejpam-4579	98	55	,	,	PUNCT
ejpam-4579	98	56	h.	h.	PROPN
ejpam-4579	98	57	a.	a.	PROPN
ejpam-4579	98	58	alashoor	alashoor	PROPN
ejpam-4579	98	59	/	/	SYM
ejpam-4579	98	60	eur	eur	PROPN
ejpam-4579	98	61	.	.	PUNCT
ejpam-4579	99	1	j.	j.	PROPN
ejpam-4579	99	2	pure	pure	PROPN
ejpam-4579	99	3	appl	appl	PROPN
ejpam-4579	99	4	.	.	PROPN
ejpam-4579	99	5	math	math	PROPN
ejpam-4579	99	6	,	,	PUNCT
ejpam-4579	99	7	15	15	NUM
ejpam-4579	99	8	(	(	PUNCT
ejpam-4579	99	9	4	4	NUM
ejpam-4579	99	10	)	)	PUNCT
ejpam-4579	99	11	(	(	PUNCT
ejpam-4579	99	12	2022	2022	NUM
ejpam-4579	99	13	)	)	PUNCT
ejpam-4579	99	14	,	,	PUNCT
ejpam-4579	99	15	2043	2043	NUM
ejpam-4579	99	16	-	-	SYM
ejpam-4579	99	17	2053	2053	NUM
ejpam-4579	99	18	2048	2048	NUM
ejpam-4579	99	19	dividing	divide	VERB
ejpam-4579	99	20	both	both	DET
ejpam-4579	99	21	sides	side	NOUN
ejpam-4579	99	22	of	of	ADP
ejpam-4579	99	23	(	(	PUNCT
ejpam-4579	99	24	28	28	NUM
ejpam-4579	99	25	)	)	PUNCT
ejpam-4579	99	26	by	by	ADP
ejpam-4579	99	27	(	(	PUNCT
ejpam-4579	99	28	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4579	99	29	)	)	PUNCT
ejpam-4579	99	30	2	2	NUM
ejpam-4579	99	31	,	,	PUNCT
ejpam-4579	99	32	we	we	PRON
ejpam-4579	99	33	get	get	VERB
ejpam-4579	99	34	:	:	PUNCT
ejpam-4579	99	35	|dk+1|2	|dk+1|2	X
ejpam-4579	99	36	(	(	PUNCT
ejpam-4579	99	37	dtk+1gk+1)2	dtk+1gk+1)2	NOUN
ejpam-4579	99	38	=	=	SYM
ejpam-4579	99	39	|dk|2	|dk|2	PROPN
ejpam-4579	99	40	(	(	PUNCT
ejpam-4579	99	41	dtk	dtk	PROPN
ejpam-4579	99	42	gk	gk	PROPN
ejpam-4579	99	43	)	)	PUNCT
ejpam-4579	99	44	2	2	NUM
ejpam-4579	99	45	−	−	NOUN
ejpam-4579	99	46	|gk+1|2	|gk+1|2	X
ejpam-4579	99	47	(	(	PUNCT
ejpam-4579	99	48	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4579	99	49	−	−	NUM
ejpam-4579	99	50	2	2	NUM
ejpam-4579	99	51	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4579	99	52	≤	≤	NOUN
ejpam-4579	99	53	|dk|2	|dk|2	PUNCT
ejpam-4579	99	54	(	(	PUNCT
ejpam-4579	99	55	dtk	dtk	PROPN
ejpam-4579	99	56	gk	gk	PROPN
ejpam-4579	99	57	)	)	PUNCT
ejpam-4579	99	58	2	2	NUM
ejpam-4579	99	59	−	−	PROPN
ejpam-4579	100	1	(	(	PUNCT
ejpam-4579	100	2	|gk+1|	|gk+1|	PROPN
ejpam-4579	100	3	(	(	PUNCT
ejpam-4579	100	4	dtk+1gk+1	dtk+1gk+1	NOUN
ejpam-4579	100	5	)	)	PUNCT
ejpam-4579	100	6	+	+	CCONJ
ejpam-4579	100	7	1	1	NUM
ejpam-4579	100	8	|gk+1|2	|gk+1|2	X
ejpam-4579	100	9	)	)	PUNCT
ejpam-4579	101	1	+	+	CCONJ
ejpam-4579	101	2	1	1	NUM
ejpam-4579	101	3	|gk+1|2	|gk+1|2	X
ejpam-4579	101	4	≤	≤	X
ejpam-4579	101	5	|dk|2	|dk|2	PUNCT
ejpam-4579	101	6	(	(	PUNCT
ejpam-4579	101	7	dtk	dtk	PROPN
ejpam-4579	101	8	gk	gk	PROPN
ejpam-4579	101	9	)	)	PUNCT
ejpam-4579	101	10	2	2	NUM
ejpam-4579	101	11	+	+	SYM
ejpam-4579	101	12	1	1	NUM
ejpam-4579	101	13	|gk+1|2	|gk+1|2	X
ejpam-4579	101	14	(	(	PUNCT
ejpam-4579	101	15	31	31	NUM
ejpam-4579	101	16	)	)	PUNCT
ejpam-4579	101	17	hence	hence	ADV
ejpam-4579	101	18	,	,	PUNCT
ejpam-4579	101	19	we	we	PRON
ejpam-4579	101	20	obtained	obtain	VERB
ejpam-4579	101	21	:	:	PUNCT
ejpam-4579	101	22	|dk+1|2	|dk+1|2	X
ejpam-4579	101	23	(	(	PUNCT
ejpam-4579	101	24	dtk+1gk+1)2	dtk+1gk+1)2	PROPN
ejpam-4579	101	25	≤	≤	NUM
ejpam-4579	101	26	k+1∑	k+1∑	PROPN
ejpam-4579	101	27	i=1	i=1	PROPN
ejpam-4579	101	28	1	1	NUM
ejpam-4579	101	29	|gi|2	|gi|2	NUM
ejpam-4579	101	30	(	(	PUNCT
ejpam-4579	101	31	32	32	NUM
ejpam-4579	101	32	)	)	PUNCT
ejpam-4579	101	33	assume	assume	VERB
ejpam-4579	101	34	that	that	SCONJ
ejpam-4579	101	35	there	there	PRON
ejpam-4579	101	36	exists	exist	VERB
ejpam-4579	101	37	c1	c1	PROPN
ejpam-4579	101	38	>	>	X
ejpam-4579	101	39	0	0	PUNCT
ejpam-4579	101	40	such	such	ADJ
ejpam-4579	101	41	that	that	SCONJ
ejpam-4579	101	42	|gk|	|gk|	ADJ
ejpam-4579	101	43	≥	≥	NUM
ejpam-4579	101	44	c1	c1	NOUN
ejpam-4579	101	45	for	for	ADP
ejpam-4579	101	46	all	all	DET
ejpam-4579	101	47	k	k	PROPN
ejpam-4579	101	48	∈	∈	PROPN
ejpam-4579	101	49	n.	n.	NOUN
ejpam-4579	101	50	then	then	ADV
ejpam-4579	101	51	:	:	PUNCT
ejpam-4579	101	52	|dk+1|2	|dk+1|2	X
ejpam-4579	101	53	(	(	PUNCT
ejpam-4579	101	54	dtk+1gk+1)2	dtk+1gk+1)2	VERB
ejpam-4579	102	1	<	<	X
ejpam-4579	102	2	k	k	X
ejpam-4579	102	3	+	+	SYM
ejpam-4579	102	4	1	1	NUM
ejpam-4579	102	5	c21	c21	NOUN
ejpam-4579	102	6	(	(	PUNCT
ejpam-4579	102	7	33	33	NUM
ejpam-4579	102	8	)	)	PUNCT
ejpam-4579	102	9	equation	equation	NOUN
ejpam-4579	102	10	(	(	PUNCT
ejpam-4579	102	11	31	31	NUM
ejpam-4579	102	12	)	)	PUNCT
ejpam-4579	102	13	shows	show	VERB
ejpam-4579	102	14	that	that	SCONJ
ejpam-4579	102	15	:	:	PUNCT
ejpam-4579	103	1	∞∑	∞∑	NUM
ejpam-4579	103	2	k=1	k=1	X
ejpam-4579	103	3	(	(	PUNCT
ejpam-4579	103	4	gtk	gtk	NOUN
ejpam-4579	103	5	dk	dk	PROPN
ejpam-4579	103	6	)	)	PUNCT
ejpam-4579	103	7	2	2	NUM
ejpam-4579	103	8	|dk|2	|dk|2	PUNCT
ejpam-4579	103	9	=	=	SYM
ejpam-4579	103	10	∞	∞	PROPN
ejpam-4579	103	11	(	(	PUNCT
ejpam-4579	103	12	34	34	NUM
ejpam-4579	103	13	)	)	PUNCT
ejpam-4579	103	14	based	base	VERB
ejpam-4579	103	15	on	on	ADP
ejpam-4579	103	16	lemma	lemma	PROPN
ejpam-4579	103	17	1	1	NUM
ejpam-4579	103	18	,	,	PUNCT
ejpam-4579	103	19	we	we	PRON
ejpam-4579	103	20	get	get	VERB
ejpam-4579	103	21	limk→∞	limk→∞	NOUN
ejpam-4579	103	22	inf	inf	ADJ
ejpam-4579	103	23	|gk|	|gk|	ADJ
ejpam-4579	103	24	=	=	SYM
ejpam-4579	103	25	0	0	NUM
ejpam-4579	103	26	holds	hold	NOUN
ejpam-4579	103	27	.	.	PUNCT
ejpam-4579	104	1	a	a	DET
ejpam-4579	104	2	similar	similar	ADJ
ejpam-4579	104	3	result	result	NOUN
ejpam-4579	104	4	holds	hold	VERB
ejpam-4579	104	5	for	for	ADP
ejpam-4579	104	6	the	the	DET
ejpam-4579	104	7	btc	btc	ADJ
ejpam-4579	104	8	formula	formula	NOUN
ejpam-4579	104	9	.	.	PUNCT
ejpam-4579	105	1	4	4	X
ejpam-4579	105	2	.	.	X
ejpam-4579	105	3	numerical	numerical	PROPN
ejpam-4579	105	4	results	result	NOUN
ejpam-4579	105	5	the	the	DET
ejpam-4579	105	6	main	main	ADJ
ejpam-4579	105	7	goal	goal	NOUN
ejpam-4579	105	8	we	we	PRON
ejpam-4579	105	9	carry	carry	VERB
ejpam-4579	105	10	out	out	ADP
ejpam-4579	105	11	some	some	DET
ejpam-4579	105	12	numerical	numerical	ADJ
ejpam-4579	105	13	experiments	experiment	NOUN
ejpam-4579	105	14	for	for	ADP
ejpam-4579	105	15	minimization	minimization	NOUN
ejpam-4579	105	16	of	of	ADP
ejpam-4579	105	17	4	4	NUM
ejpam-4579	105	18	test	test	NOUN
ejpam-4579	105	19	images	image	NOUN
ejpam-4579	105	20	taken	take	VERB
ejpam-4579	105	21	from	from	ADP
ejpam-4579	105	22	[	[	X
ejpam-4579	105	23	3	3	NUM
ejpam-4579	105	24	]	]	PUNCT
ejpam-4579	105	25	.	.	PUNCT
ejpam-4579	106	1	to	to	PART
ejpam-4579	106	2	test	test	VERB
ejpam-4579	106	3	and	and	CCONJ
ejpam-4579	106	4	compare	compare	VERB
ejpam-4579	106	5	the	the	DET
ejpam-4579	106	6	computation	computation	NOUN
ejpam-4579	106	7	effect	effect	NOUN
ejpam-4579	106	8	of	of	ADP
ejpam-4579	106	9	the	the	DET
ejpam-4579	106	10	proposed	propose	VERB
ejpam-4579	106	11	bnc	bnc	NOUN
ejpam-4579	106	12	,	,	PUNCT
ejpam-4579	106	13	btc	btc	NOUN
ejpam-4579	106	14	in	in	ADP
ejpam-4579	106	15	this	this	DET
ejpam-4579	106	16	paper	paper	NOUN
ejpam-4579	106	17	with	with	ADP
ejpam-4579	106	18	fr	fr	PROPN
ejpam-4579	106	19	method	method	NOUN
ejpam-4579	106	20	whose	whose	DET
ejpam-4579	106	21	results	result	NOUN
ejpam-4579	106	22	be	be	AUX
ejpam-4579	106	23	given	give	VERB
ejpam-4579	106	24	by	by	ADP
ejpam-4579	106	25	[	[	X
ejpam-4579	106	26	4	4	NUM
ejpam-4579	106	27	]	]	PUNCT
ejpam-4579	106	28	.	.	PUNCT
ejpam-4579	107	1	there	there	PRON
ejpam-4579	107	2	are	be	VERB
ejpam-4579	107	3	different	different	ADJ
ejpam-4579	107	4	methods	method	NOUN
ejpam-4579	107	5	than	than	ADP
ejpam-4579	107	6	this	this	DET
ejpam-4579	107	7	methods	method	NOUN
ejpam-4579	107	8	that	that	PRON
ejpam-4579	107	9	we	we	PRON
ejpam-4579	107	10	can	can	AUX
ejpam-4579	107	11	see	see	VERB
ejpam-4579	107	12	in	in	ADP
ejpam-4579	107	13	[	[	X
ejpam-4579	107	14	6	6	NUM
ejpam-4579	107	15	,	,	PUNCT
ejpam-4579	107	16	7	7	NUM
ejpam-4579	107	17	,	,	PUNCT
ejpam-4579	107	18	9	9	NUM
ejpam-4579	107	19	,	,	PUNCT
ejpam-4579	107	20	10	10	NUM
ejpam-4579	107	21	,	,	PUNCT
ejpam-4579	107	22	12	12	NUM
ejpam-4579	107	23	]	]	PUNCT
ejpam-4579	107	24	.	.	PUNCT
ejpam-4579	108	1	in	in	ADP
ejpam-4579	108	2	the	the	DET
ejpam-4579	108	3	numerical	numerical	ADJ
ejpam-4579	108	4	experiments	experiment	NOUN
ejpam-4579	108	5	,	,	PUNCT
ejpam-4579	108	6	bnc	bnc	NOUN
ejpam-4579	108	7	,	,	PUNCT
ejpam-4579	108	8	btc	btc	PROPN
ejpam-4579	108	9	and	and	CCONJ
ejpam-4579	108	10	fr	fr	ADJ
ejpam-4579	108	11	methods	method	NOUN
ejpam-4579	108	12	uses	use	VERB
ejpam-4579	108	13	the	the	DET
ejpam-4579	108	14	following	follow	VERB
ejpam-4579	108	15	parameters	parameter	NOUN
ejpam-4579	108	16	:	:	PUNCT
ejpam-4579	109	1	δ	δ	X
ejpam-4579	109	2	=	=	PUNCT
ejpam-4579	109	3	0.0001	0.0001	NUM
ejpam-4579	109	4	and	and	CCONJ
ejpam-4579	109	5	σ	σ	NUM
ejpam-4579	109	6	=	=	SYM
ejpam-4579	109	7	0.5	0.5	NUM
ejpam-4579	109	8	.	.	PUNCT
ejpam-4579	110	1	numerical	numerical	ADJ
ejpam-4579	110	2	results	result	NOUN
ejpam-4579	110	3	of	of	ADP
ejpam-4579	110	4	the	the	DET
ejpam-4579	110	5	bnc	bnc	NOUN
ejpam-4579	110	6	and	and	CCONJ
ejpam-4579	110	7	fr	fr	PROPN
ejpam-4579	110	8	are	be	AUX
ejpam-4579	110	9	listed	list	VERB
ejpam-4579	110	10	in	in	ADP
ejpam-4579	110	11	table	table	NOUN
ejpam-4579	110	12	1	1	NUM
ejpam-4579	110	13	.	.	PUNCT
ejpam-4579	111	1	here	here	ADV
ejpam-4579	111	2	denotes	denote	VERB
ejpam-4579	111	3	the	the	DET
ejpam-4579	111	4	ni	ni	PROPN
ejpam-4579	111	5	/	/	SYM
ejpam-4579	111	6	nf	nf	ADJ
ejpam-4579	111	7	/	/	SYM
ejpam-4579	111	8	psnr	psnr	NOUN
ejpam-4579	111	9	denote	denote	VERB
ejpam-4579	111	10	the	the	DET
ejpam-4579	111	11	number	number	NOUN
ejpam-4579	111	12	of	of	ADP
ejpam-4579	111	13	iteration	iteration	NOUN
ejpam-4579	111	14	,	,	PUNCT
ejpam-4579	111	15	function	function	NOUN
ejpam-4579	111	16	evaluations	evaluation	NOUN
ejpam-4579	111	17	and	and	CCONJ
ejpam-4579	111	18	psnr	psnr	NOUN
ejpam-4579	111	19	(	(	PUNCT
ejpam-4579	111	20	peak	peak	NOUN
ejpam-4579	111	21	signal	signal	NOUN
ejpam-4579	111	22	to	to	PART
ejpam-4579	111	23	noise	noise	VERB
ejpam-4579	111	24	ratio	ratio	NOUN
ejpam-4579	111	25	)	)	PUNCT
ejpam-4579	111	26	,	,	PUNCT
ejpam-4579	111	27	which	which	PRON
ejpam-4579	111	28	is	be	AUX
ejpam-4579	111	29	defined	define	VERB
ejpam-4579	111	30	as	as	ADP
ejpam-4579	111	31	:	:	PUNCT
ejpam-4579	111	32	psnr	psnr	NOUN
ejpam-4579	111	33	=	=	SYM
ejpam-4579	111	34	10log10	10log10	NUM
ejpam-4579	111	35	2552	2552	NUM
ejpam-4579	111	36	1	1	NUM
ejpam-4579	111	37	mn	mn	PROPN
ejpam-4579	111	38	∑	∑	PROPN
ejpam-4579	111	39	i	i	PROPN
ejpam-4579	111	40	,	,	PUNCT
ejpam-4579	111	41	j	j	PROPN
ejpam-4579	111	42	(	(	PUNCT
ejpam-4579	111	43	u	u	NOUN
ejpam-4579	111	44	r	r	VERB
ejpam-4579	111	45	i	i	PROPN
ejpam-4579	111	46	,	,	PUNCT
ejpam-4579	111	47	j	j	PROPN
ejpam-4579	111	48	−	−	PROPN
ejpam-4579	111	49	u∗i	u∗i	NOUN
ejpam-4579	111	50	,	,	PUNCT
ejpam-4579	111	51	j	j	NOUN
ejpam-4579	111	52	)	)	PUNCT
ejpam-4579	111	53	2	2	NUM
ejpam-4579	111	54	(	(	PUNCT
ejpam-4579	111	55	35	35	NUM
ejpam-4579	111	56	)	)	PUNCT
ejpam-4579	111	57	where	where	SCONJ
ejpam-4579	111	58	uri	uri	PROPN
ejpam-4579	111	59	,	,	PUNCT
ejpam-4579	111	60	j	j	PROPN
ejpam-4579	111	61	and	and	CCONJ
ejpam-4579	111	62	u∗i	u∗i	NOUN
ejpam-4579	111	63	,	,	PUNCT
ejpam-4579	111	64	j	j	PROPN
ejpam-4579	111	65	denote	denote	VERB
ejpam-4579	111	66	the	the	DET
ejpam-4579	111	67	pixel	pixel	PROPN
ejpam-4579	111	68	values	value	NOUN
ejpam-4579	111	69	of	of	ADP
ejpam-4579	111	70	the	the	DET
ejpam-4579	111	71	restored	restore	VERB
ejpam-4579	111	72	image	image	NOUN
ejpam-4579	111	73	and	and	CCONJ
ejpam-4579	111	74	the	the	DET
ejpam-4579	111	75	original	original	ADJ
ejpam-4579	111	76	image	image	NOUN
ejpam-4579	111	77	,	,	PUNCT
ejpam-4579	111	78	respectively	respectively	ADV
ejpam-4579	111	79	.	.	PUNCT
ejpam-4579	112	1	we	we	PRON
ejpam-4579	112	2	stop	stop	VERB
ejpam-4579	112	3	the	the	DET
ejpam-4579	112	4	iterations	iteration	NOUN
ejpam-4579	112	5	,	,	PUNCT
ejpam-4579	112	6	if	if	SCONJ
ejpam-4579	112	7	:	:	PUNCT
ejpam-4579	112	8	b.	b.	PROPN
ejpam-4579	112	9	a.	a.	PROPN
ejpam-4579	112	10	hassan	hassan	PROPN
ejpam-4579	112	11	,	,	PUNCT
ejpam-4579	112	12	h.	h.	PROPN
ejpam-4579	112	13	a.	a.	PROPN
ejpam-4579	112	14	alashoor	alashoor	PROPN
ejpam-4579	112	15	/	/	SYM
ejpam-4579	112	16	eur	eur	PROPN
ejpam-4579	112	17	.	.	PUNCT
ejpam-4579	113	1	j.	j.	PROPN
ejpam-4579	113	2	pure	pure	PROPN
ejpam-4579	113	3	appl	appl	PROPN
ejpam-4579	113	4	.	.	PROPN
ejpam-4579	113	5	math	math	PROPN
ejpam-4579	113	6	,	,	PUNCT
ejpam-4579	113	7	15	15	NUM
ejpam-4579	113	8	(	(	PUNCT
ejpam-4579	113	9	4	4	NUM
ejpam-4579	113	10	)	)	PUNCT
ejpam-4579	113	11	(	(	PUNCT
ejpam-4579	113	12	2022	2022	NUM
ejpam-4579	113	13	)	)	PUNCT
ejpam-4579	113	14	,	,	PUNCT
ejpam-4579	113	15	2043	2043	NUM
ejpam-4579	113	16	-	-	SYM
ejpam-4579	113	17	2053	2053	NUM
ejpam-4579	113	18	2049	2049	NUM
ejpam-4579	113	19	|f(uk)−	|f(uk)−	ADJ
ejpam-4579	113	20	f(uk−1)|	f(uk−1)|	PROPN
ejpam-4579	113	21	|f(uk)|	|f(uk)|	VERB
ejpam-4579	113	22	≤	≤	NUM
ejpam-4579	113	23	10−4	10−4	NUM
ejpam-4579	113	24	and	and	CCONJ
ejpam-4579	113	25	|f(uk)|	|f(uk)|	ADP
ejpam-4579	113	26	≤	≤	NUM
ejpam-4579	113	27	10−4(1	10−4(1	NUM
ejpam-4579	113	28	+	+	NUM
ejpam-4579	113	29	|f(uk)|	|f(uk)|	NOUN
ejpam-4579	113	30	)	)	PUNCT
ejpam-4579	113	31	(	(	PUNCT
ejpam-4579	113	32	36	36	NUM
ejpam-4579	113	33	)	)	PUNCT
ejpam-4579	113	34	for	for	ADP
ejpam-4579	113	35	more	more	ADJ
ejpam-4579	113	36	details	detail	NOUN
ejpam-4579	113	37	see	see	VERB
ejpam-4579	113	38	[	[	X
ejpam-4579	113	39	1],[3	1],[3	NUM
ejpam-4579	113	40	]	]	PUNCT
ejpam-4579	113	41	.	.	PUNCT
ejpam-4579	114	1	table	table	NOUN
ejpam-4579	114	2	1	1	NUM
ejpam-4579	114	3	:	:	PUNCT
ejpam-4579	114	4	numerical	numerical	ADJ
ejpam-4579	114	5	results	result	NOUN
ejpam-4579	114	6	for	for	ADP
ejpam-4579	114	7	the	the	DET
ejpam-4579	114	8	ni	ni	PROPN
ejpam-4579	114	9	,	,	PUNCT
ejpam-4579	114	10	nf	nf	NOUN
ejpam-4579	114	11	and	and	CCONJ
ejpam-4579	114	12	psnr	psnr	NOUN
ejpam-4579	114	13	.	.	PUNCT
ejpam-4579	115	1	as	as	SCONJ
ejpam-4579	115	2	we	we	PRON
ejpam-4579	115	3	can	can	AUX
ejpam-4579	115	4	see	see	VERB
ejpam-4579	115	5	from	from	ADP
ejpam-4579	115	6	table	table	NOUN
ejpam-4579	115	7	(	(	PUNCT
ejpam-4579	115	8	1	1	NUM
ejpam-4579	115	9	)	)	PUNCT
ejpam-4579	115	10	,	,	PUNCT
ejpam-4579	115	11	our	our	PRON
ejpam-4579	115	12	proposed	propose	VERB
ejpam-4579	115	13	algorithm	algorithm	NOUN
ejpam-4579	115	14	is	be	AUX
ejpam-4579	115	15	competitive	competitive	ADJ
ejpam-4579	115	16	and	and	CCONJ
ejpam-4579	115	17	promising	promising	ADJ
ejpam-4579	115	18	has	have	VERB
ejpam-4579	115	19	a	a	DET
ejpam-4579	115	20	very	very	ADV
ejpam-4579	115	21	great	great	ADJ
ejpam-4579	115	22	advantage	advantage	NOUN
ejpam-4579	115	23	over	over	ADP
ejpam-4579	115	24	the	the	DET
ejpam-4579	115	25	fr	fr	ADJ
ejpam-4579	115	26	method	method	NOUN
ejpam-4579	115	27	in	in	ADP
ejpam-4579	115	28	term	term	NOUN
ejpam-4579	115	29	of	of	ADP
ejpam-4579	115	30	the	the	DET
ejpam-4579	115	31	the	the	DET
ejpam-4579	115	32	number	number	NOUN
ejpam-4579	115	33	ofiterations	ofiteration	NOUN
ejpam-4579	115	34	and	and	CCONJ
ejpam-4579	115	35	the	the	DET
ejpam-4579	115	36	number	number	NOUN
ejpam-4579	115	37	of	of	ADP
ejpam-4579	115	38	function	function	NOUN
ejpam-4579	115	39	evaluations	evaluation	NOUN
ejpam-4579	115	40	.	.	PUNCT
ejpam-4579	116	1	figure	figure	VERB
ejpam-4579	116	2	1	1	NUM
ejpam-4579	116	3	:	:	PUNCT
ejpam-4579	116	4	from	from	ADP
ejpam-4579	116	5	left	leave	VERB
ejpam-4579	116	6	to	to	ADP
ejpam-4579	116	7	right	right	NOUN
ejpam-4579	116	8	:	:	PUNCT
ejpam-4579	116	9	50	50	NUM
ejpam-4579	116	10	,	,	PUNCT
ejpam-4579	116	11	70	70	NUM
ejpam-4579	116	12	,	,	PUNCT
ejpam-4579	116	13	90	90	NUM
ejpam-4579	116	14	%	%	NOUN
ejpam-4579	116	15	noise	noise	NOUN
ejpam-4579	116	16	,	,	PUNCT
ejpam-4579	116	17	fr	fr	PROPN
ejpam-4579	116	18	method	method	NOUN
ejpam-4579	116	19	,	,	PUNCT
ejpam-4579	116	20	bnc	bnc	NOUN
ejpam-4579	116	21	and	and	CCONJ
ejpam-4579	116	22	btc	btc	PROPN
ejpam-4579	116	23	method	method	NOUN
ejpam-4579	116	24	256×	256×	NOUN
ejpam-4579	116	25	256	256	NUM
ejpam-4579	116	26	lena	lena	PROPN
ejpam-4579	116	27	image	image	NOUN
ejpam-4579	116	28	.	.	PUNCT
ejpam-4579	117	1	b.	b.	PROPN
ejpam-4579	117	2	a.	a.	PROPN
ejpam-4579	117	3	hassan	hassan	PROPN
ejpam-4579	117	4	,	,	PUNCT
ejpam-4579	117	5	h.	h.	PROPN
ejpam-4579	117	6	a.	a.	PROPN
ejpam-4579	117	7	alashoor	alashoor	PROPN
ejpam-4579	117	8	/	/	SYM
ejpam-4579	117	9	eur	eur	PROPN
ejpam-4579	117	10	.	.	PUNCT
ejpam-4579	118	1	j.	j.	PROPN
ejpam-4579	118	2	pure	pure	PROPN
ejpam-4579	118	3	appl	appl	PROPN
ejpam-4579	118	4	.	.	PROPN
ejpam-4579	118	5	math	math	PROPN
ejpam-4579	118	6	,	,	PUNCT
ejpam-4579	118	7	15	15	NUM
ejpam-4579	118	8	(	(	PUNCT
ejpam-4579	118	9	4	4	NUM
ejpam-4579	118	10	)	)	PUNCT
ejpam-4579	118	11	(	(	PUNCT
ejpam-4579	118	12	2022	2022	NUM
ejpam-4579	118	13	)	)	PUNCT
ejpam-4579	118	14	,	,	PUNCT
ejpam-4579	118	15	2043	2043	NUM
ejpam-4579	118	16	-	-	SYM
ejpam-4579	118	17	2053	2053	NUM
ejpam-4579	118	18	2050	2050	NUM
ejpam-4579	118	19	references	reference	NOUN
ejpam-4579	118	20	2051	2051	NUM
ejpam-4579	118	21	figure	figure	NOUN
ejpam-4579	118	22	2	2	NUM
ejpam-4579	118	23	:	:	PUNCT
ejpam-4579	118	24	from	from	ADP
ejpam-4579	118	25	left	left	ADJ
ejpam-4579	118	26	to	to	ADP
ejpam-4579	118	27	right	right	NOUN
ejpam-4579	118	28	:	:	PUNCT
ejpam-4579	118	29	50	50	NUM
ejpam-4579	118	30	,	,	PUNCT
ejpam-4579	118	31	70	70	NUM
ejpam-4579	118	32	,	,	PUNCT
ejpam-4579	118	33	90	90	NUM
ejpam-4579	118	34	%	%	NOUN
ejpam-4579	118	35	noise	noise	NOUN
ejpam-4579	118	36	,	,	PUNCT
ejpam-4579	118	37	fr	fr	PROPN
ejpam-4579	118	38	method	method	NOUN
ejpam-4579	118	39	,	,	PUNCT
ejpam-4579	118	40	bnc	bnc	NOUN
ejpam-4579	118	41	and	and	CCONJ
ejpam-4579	118	42	btc	btc	PROPN
ejpam-4579	118	43	method	method	NOUN
ejpam-4579	118	44	512	512	NUM
ejpam-4579	118	45	×	×	NOUN
ejpam-4579	118	46	512	512	NUM
ejpam-4579	118	47	cameraman	cameraman	ADJ
ejpam-4579	118	48	image	image	NOUN
ejpam-4579	118	49	.	.	PUNCT
ejpam-4579	119	1	5	5	X
ejpam-4579	119	2	.	.	X
ejpam-4579	119	3	conclusions	conclusion	NOUN
ejpam-4579	119	4	we	we	PRON
ejpam-4579	119	5	presented	present	VERB
ejpam-4579	119	6	a	a	DET
ejpam-4579	119	7	powerful	powerful	ADJ
ejpam-4579	119	8	conjugate	conjugate	ADJ
ejpam-4579	119	9	gradient	gradient	NOUN
ejpam-4579	119	10	technique	technique	NOUN
ejpam-4579	119	11	.	.	PUNCT
ejpam-4579	120	1	in	in	ADP
ejpam-4579	120	2	addition	addition	NOUN
ejpam-4579	120	3	to	to	ADP
ejpam-4579	120	4	meeting	meet	VERB
ejpam-4579	120	5	the	the	DET
ejpam-4579	120	6	adequate	adequate	ADJ
ejpam-4579	120	7	descent	descent	NOUN
ejpam-4579	120	8	criterion	criterion	NOUN
ejpam-4579	120	9	,	,	PUNCT
ejpam-4579	120	10	the	the	DET
ejpam-4579	120	11	proposed	propose	VERB
ejpam-4579	120	12	approach	approach	NOUN
ejpam-4579	120	13	is	be	AUX
ejpam-4579	120	14	globally	globally	ADV
ejpam-4579	120	15	convergent	convergent	ADJ
ejpam-4579	120	16	.	.	PUNCT
ejpam-4579	121	1	according	accord	VERB
ejpam-4579	121	2	to	to	ADP
ejpam-4579	121	3	numerical	numerical	ADJ
ejpam-4579	121	4	findings	finding	NOUN
ejpam-4579	121	5	,	,	PUNCT
ejpam-4579	121	6	the	the	DET
ejpam-4579	121	7	approach	approach	NOUN
ejpam-4579	121	8	operates	operate	VERB
ejpam-4579	121	9	well	well	ADV
ejpam-4579	121	10	in	in	ADP
ejpam-4579	121	11	practice	practice	NOUN
ejpam-4579	121	12	and	and	CCONJ
ejpam-4579	121	13	is	be	AUX
ejpam-4579	121	14	superior	superior	ADJ
ejpam-4579	121	15	than	than	ADP
ejpam-4579	121	16	the	the	DET
ejpam-4579	121	17	widely	widely	ADV
ejpam-4579	121	18	used	use	VERB
ejpam-4579	121	19	fr	fr	PROPN
ejpam-4579	121	20	method	method	NOUN
ejpam-4579	121	21	.	.	PUNCT
ejpam-4579	122	1	we	we	PRON
ejpam-4579	122	2	also	also	ADV
ejpam-4579	122	3	looked	look	VERB
ejpam-4579	122	4	at	at	ADP
ejpam-4579	122	5	our	our	PRON
ejpam-4579	122	6	approach	approach	NOUN
ejpam-4579	122	7	’s	’s	PART
ejpam-4579	122	8	aptitude	aptitude	NOUN
ejpam-4579	122	9	for	for	ADP
ejpam-4579	122	10	resolving	resolve	VERB
ejpam-4579	122	11	several	several	ADJ
ejpam-4579	122	12	practical	practical	ADJ
ejpam-4579	122	13	problems	problem	NOUN
ejpam-4579	122	14	.	.	PUNCT
ejpam-4579	123	1	in	in	ADP
ejpam-4579	123	2	this	this	DET
ejpam-4579	123	3	manner	manner	NOUN
ejpam-4579	123	4	,	,	PUNCT
ejpam-4579	123	5	a	a	DET
ejpam-4579	123	6	typical	typical	ADJ
ejpam-4579	123	7	issue	issue	NOUN
ejpam-4579	123	8	from	from	ADP
ejpam-4579	123	9	applications	application	NOUN
ejpam-4579	123	10	for	for	ADP
ejpam-4579	123	11	image	image	NOUN
ejpam-4579	123	12	processing	processing	NOUN
ejpam-4579	123	13	was	be	AUX
ejpam-4579	123	14	taken	take	VERB
ejpam-4579	123	15	into	into	ADP
ejpam-4579	123	16	account	account	NOUN
ejpam-4579	123	17	.	.	PUNCT
ejpam-4579	124	1	we	we	PRON
ejpam-4579	124	2	demonstrated	demonstrate	VERB
ejpam-4579	124	3	the	the	DET
ejpam-4579	124	4	acceptability	acceptability	NOUN
ejpam-4579	124	5	of	of	ADP
ejpam-4579	124	6	the	the	DET
ejpam-4579	124	7	image	image	NOUN
ejpam-4579	124	8	that	that	PRON
ejpam-4579	124	9	our	our	PRON
ejpam-4579	124	10	approach	approach	NOUN
ejpam-4579	124	11	restored	restore	VERB
ejpam-4579	124	12	.	.	PUNCT
ejpam-4579	125	1	references	reference	NOUN
ejpam-4579	125	2	[	[	X
ejpam-4579	125	3	1	1	NUM
ejpam-4579	125	4	]	]	X
ejpam-4579	125	5	jian	jian	PROPN
ejpam-4579	125	6	-	-	PUNCT
ejpam-4579	125	7	feng	feng	PROPN
ejpam-4579	125	8	cai	cai	PROPN
ejpam-4579	125	9	,	,	PUNCT
ejpam-4579	125	10	raymond	raymond	PROPN
ejpam-4579	125	11	chan	chan	PROPN
ejpam-4579	125	12	,	,	PUNCT
ejpam-4579	125	13	and	and	CCONJ
ejpam-4579	125	14	benedetta	benedetta	PROPN
ejpam-4579	125	15	morini	morini	PROPN
ejpam-4579	125	16	.	.	PROPN
ejpam-4579	125	17	minimization	minimization	NOUN
ejpam-4579	125	18	of	of	ADP
ejpam-4579	125	19	an	an	DET
ejpam-4579	125	20	edgepreserving	edgepreserving	ADJ
ejpam-4579	125	21	regularization	regularization	NOUN
ejpam-4579	125	22	functional	functional	ADJ
ejpam-4579	125	23	by	by	ADP
ejpam-4579	125	24	conjugate	conjugate	ADJ
ejpam-4579	125	25	gradient	gradient	ADJ
ejpam-4579	125	26	type	type	NOUN
ejpam-4579	125	27	methods	method	NOUN
ejpam-4579	125	28	.	.	PUNCT
ejpam-4579	126	1	in	in	ADP
ejpam-4579	126	2	image	image	NOUN
ejpam-4579	126	3	processing	processing	NOUN
ejpam-4579	126	4	based	base	VERB
ejpam-4579	126	5	on	on	ADP
ejpam-4579	126	6	partial	partial	ADJ
ejpam-4579	126	7	differential	differential	NOUN
ejpam-4579	126	8	equations	equation	NOUN
ejpam-4579	126	9	,	,	PUNCT
ejpam-4579	126	10	pages	page	NOUN
ejpam-4579	126	11	109–122	109–122	NUM
ejpam-4579	126	12	.	.	PUNCT
ejpam-4579	126	13	springer	springer	NOUN
ejpam-4579	126	14	,	,	PUNCT
ejpam-4579	126	15	2007	2007	NUM
ejpam-4579	126	16	.	.	PUNCT
ejpam-4579	127	1	[	[	X
ejpam-4579	127	2	2	2	NUM
ejpam-4579	127	3	]	]	PUNCT
ejpam-4579	127	4	yu	yu	PROPN
ejpam-4579	127	5	-	-	PROPN
ejpam-4579	127	6	hong	hong	PROPN
ejpam-4579	127	7	dai	dai	PROPN
ejpam-4579	127	8	and	and	CCONJ
ejpam-4579	127	9	yaxiang	yaxiang	PROPN
ejpam-4579	127	10	yuan	yuan	PROPN
ejpam-4579	127	11	.	.	PUNCT
ejpam-4579	128	1	a	a	DET
ejpam-4579	128	2	nonlinear	nonlinear	ADJ
ejpam-4579	128	3	conjugate	conjugate	ADJ
ejpam-4579	128	4	gradient	gradient	NOUN
ejpam-4579	128	5	method	method	NOUN
ejpam-4579	128	6	with	with	ADP
ejpam-4579	128	7	a	a	DET
ejpam-4579	128	8	strong	strong	ADJ
ejpam-4579	128	9	global	global	ADJ
ejpam-4579	128	10	convergence	convergence	NOUN
ejpam-4579	128	11	property	property	NOUN
ejpam-4579	128	12	.	.	PUNCT
ejpam-4579	129	1	siam	siam	PROPN
ejpam-4579	129	2	journal	journal	PROPN
ejpam-4579	129	3	on	on	ADP
ejpam-4579	129	4	optimization	optimization	NOUN
ejpam-4579	129	5	,	,	PUNCT
ejpam-4579	129	6	10(1):177–182	10(1):177–182	NUM
ejpam-4579	129	7	,	,	PUNCT
ejpam-4579	129	8	1999	1999	NUM
ejpam-4579	129	9	.	.	PUNCT
ejpam-4579	130	1	[	[	X
ejpam-4579	130	2	3	3	NUM
ejpam-4579	130	3	]	]	X
ejpam-4579	130	4	yuhong	yuhong	PROPN
ejpam-4579	130	5	dai	dai	PROPN
ejpam-4579	130	6	,	,	PUNCT
ejpam-4579	130	7	jiye	jiye	PROPN
ejpam-4579	130	8	han	han	PROPN
ejpam-4579	130	9	,	,	PUNCT
ejpam-4579	130	10	guanghui	guanghui	PROPN
ejpam-4579	130	11	liu	liu	PROPN
ejpam-4579	130	12	,	,	PUNCT
ejpam-4579	130	13	defeng	defeng	PROPN
ejpam-4579	130	14	sun	sun	PROPN
ejpam-4579	130	15	,	,	PUNCT
ejpam-4579	130	16	hongxia	hongxia	PROPN
ejpam-4579	130	17	yin	yin	PROPN
ejpam-4579	130	18	,	,	PUNCT
ejpam-4579	130	19	and	and	CCONJ
ejpam-4579	130	20	ya	ya	PROPN
ejpam-4579	130	21	-	-	PUNCT
ejpam-4579	130	22	xiang	xiang	PROPN
ejpam-4579	130	23	yuan	yuan	PROPN
ejpam-4579	130	24	.	.	PUNCT
ejpam-4579	131	1	convergence	convergence	NOUN
ejpam-4579	131	2	properties	property	NOUN
ejpam-4579	131	3	of	of	ADP
ejpam-4579	131	4	nonlinear	nonlinear	ADJ
ejpam-4579	131	5	conjugate	conjugate	ADJ
ejpam-4579	131	6	gradient	gradient	ADJ
ejpam-4579	131	7	methods	method	NOUN
ejpam-4579	131	8	.	.	PUNCT
ejpam-4579	132	1	siam	siam	PROPN
ejpam-4579	132	2	journal	journal	PROPN
ejpam-4579	132	3	on	on	ADP
ejpam-4579	132	4	optimization	optimization	NOUN
ejpam-4579	132	5	,	,	PUNCT
ejpam-4579	132	6	10(2):345–358	10(2):345–358	PROPN
ejpam-4579	132	7	,	,	PUNCT
ejpam-4579	132	8	2000	2000	NUM
ejpam-4579	132	9	.	.	PUNCT
ejpam-4579	133	1	references	reference	NOUN
ejpam-4579	133	2	2052	2052	NUM
ejpam-4579	134	1	[	[	X
ejpam-4579	134	2	4	4	NUM
ejpam-4579	134	3	]	]	X
ejpam-4579	134	4	reeves	reeves	PROPN
ejpam-4579	134	5	fletcher	fletcher	PROPN
ejpam-4579	134	6	and	and	CCONJ
ejpam-4579	134	7	colin	colin	PROPN
ejpam-4579	134	8	m	m	PROPN
ejpam-4579	134	9	reeves	reeves	PROPN
ejpam-4579	134	10	.	.	PUNCT
ejpam-4579	135	1	function	function	NOUN
ejpam-4579	135	2	minimization	minimization	NOUN
ejpam-4579	135	3	by	by	ADP
ejpam-4579	135	4	conjugate	conjugate	ADJ
ejpam-4579	135	5	gradients	gradient	NOUN
ejpam-4579	135	6	.	.	PUNCT
ejpam-4579	136	1	the	the	DET
ejpam-4579	136	2	computer	computer	NOUN
ejpam-4579	136	3	journal	journal	NOUN
ejpam-4579	136	4	,	,	PUNCT
ejpam-4579	136	5	7(2):149–154	7(2):149–154	NUM
ejpam-4579	136	6	,	,	PUNCT
ejpam-4579	136	7	1964	1964	NUM
ejpam-4579	136	8	.	.	PUNCT
ejpam-4579	137	1	[	[	X
ejpam-4579	137	2	5	5	X
ejpam-4579	137	3	]	]	PUNCT
ejpam-4579	137	4	william	william	PROPN
ejpam-4579	137	5	w	w	PROPN
ejpam-4579	137	6	hager	hager	PROPN
ejpam-4579	137	7	and	and	CCONJ
ejpam-4579	137	8	hongchao	hongchao	PROPN
ejpam-4579	137	9	zhang	zhang	PROPN
ejpam-4579	137	10	.	.	PUNCT
ejpam-4579	138	1	a	a	DET
ejpam-4579	138	2	new	new	ADJ
ejpam-4579	138	3	conjugate	conjugate	ADJ
ejpam-4579	138	4	gradient	gradient	NOUN
ejpam-4579	138	5	method	method	NOUN
ejpam-4579	138	6	with	with	ADP
ejpam-4579	138	7	guaranteed	guarantee	VERB
ejpam-4579	138	8	descent	descent	NOUN
ejpam-4579	138	9	and	and	CCONJ
ejpam-4579	138	10	an	an	DET
ejpam-4579	138	11	efficient	efficient	ADJ
ejpam-4579	138	12	line	line	NOUN
ejpam-4579	138	13	search	search	NOUN
ejpam-4579	138	14	.	.	PUNCT
ejpam-4579	139	1	siam	siam	PROPN
ejpam-4579	139	2	journal	journal	PROPN
ejpam-4579	139	3	on	on	ADP
ejpam-4579	139	4	optimization	optimization	NOUN
ejpam-4579	139	5	,	,	PUNCT
ejpam-4579	139	6	16(1):170	16(1):170	NUM
ejpam-4579	139	7	–	–	PUNCT
ejpam-4579	139	8	192	192	NUM
ejpam-4579	139	9	,	,	PUNCT
ejpam-4579	139	10	2005	2005	NUM
ejpam-4579	139	11	.	.	PUNCT
ejpam-4579	140	1	[	[	X
ejpam-4579	140	2	6	6	NUM
ejpam-4579	140	3	]	]	PUNCT
ejpam-4579	140	4	ba	ba	PROPN
ejpam-4579	140	5	hassan	hassan	PROPN
ejpam-4579	140	6	and	and	CCONJ
ejpam-4579	140	7	rm	rm	PROPN
ejpam-4579	140	8	sulaiman	sulaiman	PROPN
ejpam-4579	140	9	.	.	PUNCT
ejpam-4579	141	1	a	a	DET
ejpam-4579	141	2	new	new	ADJ
ejpam-4579	141	3	class	class	NOUN
ejpam-4579	141	4	of	of	ADP
ejpam-4579	141	5	self	self	NOUN
ejpam-4579	141	6	-	-	PUNCT
ejpam-4579	141	7	scaling	scaling	NOUN
ejpam-4579	141	8	for	for	ADP
ejpam-4579	141	9	quasi	quasi	NOUN
ejpam-4579	141	10	-	-	ADJ
ejpam-4579	141	11	newton	newton	PROPN
ejpam-4579	141	12	method	method	NOUN
ejpam-4579	141	13	based	base	VERB
ejpam-4579	141	14	on	on	ADP
ejpam-4579	141	15	the	the	DET
ejpam-4579	141	16	quadratic	quadratic	ADJ
ejpam-4579	141	17	model	model	NOUN
ejpam-4579	141	18	.	.	PUNCT
ejpam-4579	142	1	indonesian	indonesian	ADJ
ejpam-4579	142	2	journal	journal	PROPN
ejpam-4579	142	3	of	of	ADP
ejpam-4579	142	4	electrical	electrical	ADJ
ejpam-4579	142	5	engineering	engineering	NOUN
ejpam-4579	142	6	and	and	CCONJ
ejpam-4579	142	7	computer	computer	NOUN
ejpam-4579	142	8	science	science	NOUN
ejpam-4579	142	9	,	,	PUNCT
ejpam-4579	142	10	21(3):1830–1836	21(3):1830–1836	NUM
ejpam-4579	142	11	,	,	PUNCT
ejpam-4579	142	12	2021	2021	NUM
ejpam-4579	142	13	.	.	PUNCT
ejpam-4579	143	1	[	[	X
ejpam-4579	143	2	7	7	X
ejpam-4579	143	3	]	]	X
ejpam-4579	143	4	basim	basim	NOUN
ejpam-4579	143	5	a	a	DET
ejpam-4579	143	6	hassan	hassan	PROPN
ejpam-4579	143	7	.	.	PUNCT
ejpam-4579	144	1	a	a	DET
ejpam-4579	144	2	modified	modify	VERB
ejpam-4579	144	3	quasi	quasi	NOUN
ejpam-4579	144	4	-	-	ADJ
ejpam-4579	144	5	newton	newton	PROPN
ejpam-4579	144	6	methods	method	NOUN
ejpam-4579	144	7	for	for	ADP
ejpam-4579	144	8	unconstrained	unconstrained	ADJ
ejpam-4579	144	9	optimization	optimization	NOUN
ejpam-4579	144	10	.	.	PUNCT
ejpam-4579	145	1	pure	pure	ADJ
ejpam-4579	145	2	appl	appl	PROPN
ejpam-4579	145	3	.	.	PUNCT
ejpam-4579	145	4	math	math	PROPN
ejpam-4579	145	5	,	,	PUNCT
ejpam-4579	145	6	42(2019):504–511	42(2019):504–511	PROPN
ejpam-4579	145	7	,	,	PUNCT
ejpam-4579	145	8	2019	2019	NUM
ejpam-4579	145	9	.	.	PUNCT
ejpam-4579	146	1	[	[	X
ejpam-4579	146	2	8	8	NUM
ejpam-4579	146	3	]	]	X
ejpam-4579	146	4	basim	basim	NOUN
ejpam-4579	146	5	a	a	DET
ejpam-4579	146	6	hassan	hassan	PROPN
ejpam-4579	146	7	.	.	PUNCT
ejpam-4579	147	1	a	a	DET
ejpam-4579	147	2	new	new	ADJ
ejpam-4579	147	3	formula	formula	NOUN
ejpam-4579	147	4	for	for	ADP
ejpam-4579	147	5	conjugate	conjugate	ADJ
ejpam-4579	147	6	parameter	parameter	NOUN
ejpam-4579	147	7	computation	computation	NOUN
ejpam-4579	147	8	based	base	VERB
ejpam-4579	147	9	on	on	ADP
ejpam-4579	147	10	the	the	DET
ejpam-4579	147	11	quadratic	quadratic	ADJ
ejpam-4579	147	12	model	model	NOUN
ejpam-4579	147	13	.	.	PUNCT
ejpam-4579	148	1	indonesian	indonesian	ADJ
ejpam-4579	148	2	journal	journal	PROPN
ejpam-4579	148	3	of	of	ADP
ejpam-4579	148	4	electrical	electrical	ADJ
ejpam-4579	148	5	engineering	engineering	NOUN
ejpam-4579	148	6	and	and	CCONJ
ejpam-4579	148	7	computer	computer	NOUN
ejpam-4579	148	8	science	science	NOUN
ejpam-4579	148	9	,	,	PUNCT
ejpam-4579	148	10	3(3):954–961	3(3):954–961	PROPN
ejpam-4579	148	11	,	,	PUNCT
ejpam-4579	148	12	2019	2019	NUM
ejpam-4579	148	13	.	.	PUNCT
ejpam-4579	149	1	[	[	X
ejpam-4579	149	2	9	9	NUM
ejpam-4579	149	3	]	]	PUNCT
ejpam-4579	149	4	basim	basim	NOUN
ejpam-4579	149	5	a	a	DET
ejpam-4579	149	6	hassan	hassan	PROPN
ejpam-4579	149	7	.	.	PUNCT
ejpam-4579	150	1	a	a	DET
ejpam-4579	150	2	new	new	ADJ
ejpam-4579	150	3	type	type	NOUN
ejpam-4579	150	4	of	of	ADP
ejpam-4579	150	5	quasi	quasi	NOUN
ejpam-4579	150	6	-	-	PROPN
ejpam-4579	150	7	newton	newton	PROPN
ejpam-4579	150	8	updating	update	VERB
ejpam-4579	150	9	formulas	formula	NOUN
ejpam-4579	150	10	based	base	VERB
ejpam-4579	150	11	on	on	ADP
ejpam-4579	150	12	the	the	DET
ejpam-4579	150	13	new	new	ADJ
ejpam-4579	150	14	quasi	quasi	PROPN
ejpam-4579	150	15	-	-	PROPN
ejpam-4579	150	16	newton	newton	PROPN
ejpam-4579	150	17	equation	equation	NOUN
ejpam-4579	150	18	.	.	PUNCT
ejpam-4579	151	1	numerical	numerical	PROPN
ejpam-4579	151	2	algebra	algebra	PROPN
ejpam-4579	151	3	,	,	PUNCT
ejpam-4579	151	4	control	control	NOUN
ejpam-4579	151	5	&	&	CCONJ
ejpam-4579	151	6	optimization	optimization	NOUN
ejpam-4579	151	7	,	,	PUNCT
ejpam-4579	151	8	10(2):227	10(2):227	NUM
ejpam-4579	151	9	,	,	PUNCT
ejpam-4579	151	10	2020	2020	NUM
ejpam-4579	151	11	.	.	PUNCT
ejpam-4579	152	1	[	[	X
ejpam-4579	152	2	10	10	NUM
ejpam-4579	152	3	]	]	X
ejpam-4579	152	4	basim	basim	NOUN
ejpam-4579	152	5	a	a	DET
ejpam-4579	152	6	hassan	hassan	PROPN
ejpam-4579	152	7	,	,	PUNCT
ejpam-4579	152	8	kanikar	kanikar	PROPN
ejpam-4579	152	9	muangchoo	muangchoo	PROPN
ejpam-4579	152	10	,	,	PUNCT
ejpam-4579	152	11	fadhil	fadhil	NOUN
ejpam-4579	152	12	alfarag	alfarag	PROPN
ejpam-4579	152	13	,	,	PUNCT
ejpam-4579	152	14	abdulkarim	abdulkarim	NOUN
ejpam-4579	152	15	hassan	hassan	PROPN
ejpam-4579	152	16	ibrahim	ibrahim	PROPN
ejpam-4579	152	17	,	,	PUNCT
ejpam-4579	152	18	and	and	CCONJ
ejpam-4579	152	19	auwal	auwal	PROPN
ejpam-4579	152	20	bala	bala	PROPN
ejpam-4579	152	21	abubakar	abubakar	PROPN
ejpam-4579	152	22	.	.	PUNCT
ejpam-4579	153	1	an	an	DET
ejpam-4579	153	2	improved	improved	ADJ
ejpam-4579	153	3	quasi	quasi	NOUN
ejpam-4579	153	4	-	-	ADJ
ejpam-4579	153	5	newton	newton	PROPN
ejpam-4579	153	6	equation	equation	NOUN
ejpam-4579	153	7	on	on	ADP
ejpam-4579	153	8	the	the	DET
ejpam-4579	153	9	quasi	quasi	PROPN
ejpam-4579	153	10	-	-	ADJ
ejpam-4579	153	11	newton	newton	PROPN
ejpam-4579	153	12	methods	method	NOUN
ejpam-4579	153	13	for	for	ADP
ejpam-4579	153	14	unconstrained	unconstrained	ADJ
ejpam-4579	153	15	optimizations	optimization	NOUN
ejpam-4579	153	16	.	.	PUNCT
ejpam-4579	154	1	indonesian	indonesian	ADJ
ejpam-4579	154	2	journal	journal	PROPN
ejpam-4579	154	3	of	of	ADP
ejpam-4579	154	4	electrical	electrical	ADJ
ejpam-4579	154	5	engineering	engineering	NOUN
ejpam-4579	154	6	and	and	CCONJ
ejpam-4579	154	7	computer	computer	NOUN
ejpam-4579	154	8	science	science	NOUN
ejpam-4579	154	9	,	,	PUNCT
ejpam-4579	154	10	22(2):389–397	22(2):389–397	NUM
ejpam-4579	154	11	,	,	PUNCT
ejpam-4579	154	12	2020	2020	NUM
ejpam-4579	154	13	.	.	PUNCT
ejpam-4579	155	1	[	[	X
ejpam-4579	155	2	11	11	NUM
ejpam-4579	155	3	]	]	PUNCT
ejpam-4579	155	4	hideaki	hideaki	NOUN
ejpam-4579	155	5	iiduka	iiduka	PROPN
ejpam-4579	155	6	and	and	CCONJ
ejpam-4579	155	7	yasushi	yasushi	PROPN
ejpam-4579	155	8	narushima	narushima	PROPN
ejpam-4579	155	9	.	.	PUNCT
ejpam-4579	156	1	conjugate	conjugate	ADJ
ejpam-4579	156	2	gradient	gradient	ADJ
ejpam-4579	156	3	methods	method	NOUN
ejpam-4579	156	4	using	use	VERB
ejpam-4579	156	5	value	value	NOUN
ejpam-4579	156	6	of	of	ADP
ejpam-4579	156	7	objective	objective	ADJ
ejpam-4579	156	8	function	function	NOUN
ejpam-4579	156	9	for	for	ADP
ejpam-4579	156	10	unconstrained	unconstrained	ADJ
ejpam-4579	156	11	optimization	optimization	NOUN
ejpam-4579	156	12	.	.	PUNCT
ejpam-4579	157	1	optimization	optimization	NOUN
ejpam-4579	157	2	letters	letter	NOUN
ejpam-4579	157	3	,	,	PUNCT
ejpam-4579	157	4	6(5):941	6(5):941	NUM
ejpam-4579	157	5	–	–	PUNCT
ejpam-4579	157	6	955	955	NUM
ejpam-4579	157	7	,	,	PUNCT
ejpam-4579	157	8	2012	2012	NUM
ejpam-4579	157	9	.	.	PUNCT
ejpam-4579	158	1	[	[	X
ejpam-4579	158	2	12	12	NUM
ejpam-4579	158	3	]	]	PUNCT
ejpam-4579	158	4	hawraz	hawraz	NOUN
ejpam-4579	158	5	n	n	CCONJ
ejpam-4579	158	6	jabbar	jabbar	NOUN
ejpam-4579	158	7	and	and	CCONJ
ejpam-4579	158	8	basim	basim	PROPN
ejpam-4579	158	9	a	a	DET
ejpam-4579	158	10	hassan	hassan	PROPN
ejpam-4579	158	11	.	.	PUNCT
ejpam-4579	159	1	two	two	NUM
ejpam-4579	159	2	-	-	PUNCT
ejpam-4579	159	3	versions	version	NOUN
ejpam-4579	159	4	of	of	ADP
ejpam-4579	159	5	descent	descent	NOUN
ejpam-4579	159	6	conjugate	conjugate	ADJ
ejpam-4579	159	7	gradient	gradient	ADJ
ejpam-4579	159	8	methods	method	NOUN
ejpam-4579	159	9	for	for	ADP
ejpam-4579	159	10	large	large	ADJ
ejpam-4579	159	11	-	-	PUNCT
ejpam-4579	159	12	scale	scale	NOUN
ejpam-4579	159	13	unconstrained	unconstrained	ADJ
ejpam-4579	159	14	optimization	optimization	NOUN
ejpam-4579	159	15	.	.	PUNCT
ejpam-4579	160	1	indonesian	indonesian	ADJ
ejpam-4579	160	2	journal	journal	PROPN
ejpam-4579	160	3	of	of	ADP
ejpam-4579	160	4	electrical	electrical	ADJ
ejpam-4579	160	5	engineering	engineering	NOUN
ejpam-4579	160	6	and	and	CCONJ
ejpam-4579	160	7	computer	computer	NOUN
ejpam-4579	160	8	science	science	NOUN
ejpam-4579	160	9	,	,	PUNCT
ejpam-4579	160	10	22(3):1643	22(3):1643	NUM
ejpam-4579	160	11	,	,	PUNCT
ejpam-4579	160	12	2021	2021	NUM
ejpam-4579	160	13	.	.	PUNCT
ejpam-4579	161	1	[	[	X
ejpam-4579	161	2	13	13	NUM
ejpam-4579	161	3	]	]	X
ejpam-4579	161	4	xian	xian	NOUN
ejpam-4579	161	5	-	-	PUNCT
ejpam-4579	161	6	zhen	zhen	PROPN
ejpam-4579	161	7	jiang	jiang	PROPN
ejpam-4579	161	8	and	and	CCONJ
ejpam-4579	161	9	jin	jin	PROPN
ejpam-4579	161	10	-	-	PUNCT
ejpam-4579	161	11	bao	bao	PROPN
ejpam-4579	161	12	jian	jian	PROPN
ejpam-4579	161	13	.	.	PUNCT
ejpam-4579	162	1	a	a	DET
ejpam-4579	162	2	sufficient	sufficient	ADJ
ejpam-4579	162	3	descent	descent	NOUN
ejpam-4579	162	4	dai	dai	PROPN
ejpam-4579	162	5	–	–	PROPN
ejpam-4579	162	6	yuan	yuan	NOUN
ejpam-4579	162	7	type	type	NOUN
ejpam-4579	162	8	nonlinear	nonlinear	ADJ
ejpam-4579	162	9	conjugate	conjugate	ADJ
ejpam-4579	162	10	gradient	gradient	NOUN
ejpam-4579	162	11	method	method	NOUN
ejpam-4579	162	12	for	for	ADP
ejpam-4579	162	13	unconstrained	unconstrained	ADJ
ejpam-4579	162	14	optimization	optimization	NOUN
ejpam-4579	162	15	problems	problem	NOUN
ejpam-4579	162	16	.	.	PUNCT
ejpam-4579	163	1	nonlinear	nonlinear	ADJ
ejpam-4579	163	2	dynamics	dynamic	NOUN
ejpam-4579	163	3	,	,	PUNCT
ejpam-4579	163	4	72(1):101–112	72(1):101–112	PROPN
ejpam-4579	163	5	,	,	PUNCT
ejpam-4579	163	6	2013	2013	NUM
ejpam-4579	163	7	.	.	PUNCT
ejpam-4579	164	1	[	[	X
ejpam-4579	164	2	14	14	NUM
ejpam-4579	164	3	]	]	X
ejpam-4579	164	4	jorge	jorge	NOUN
ejpam-4579	164	5	nocedal	nocedal	PROPN
ejpam-4579	164	6	and	and	CCONJ
ejpam-4579	164	7	stephen	stephen	PROPN
ejpam-4579	164	8	j	j	PROPN
ejpam-4579	164	9	wright	wright	PROPN
ejpam-4579	164	10	.	.	PUNCT
ejpam-4579	165	1	numerical	numerical	PROPN
ejpam-4579	165	2	optimization	optimization	PROPN
ejpam-4579	165	3	,	,	PUNCT
ejpam-4579	165	4	springer	springer	NOUN
ejpam-4579	165	5	series	series	NOUN
ejpam-4579	165	6	in	in	ADP
ejpam-4579	165	7	operations	operation	NOUN
ejpam-4579	165	8	research	research	NOUN
ejpam-4579	165	9	.	.	PUNCT
ejpam-4579	166	1	siam	siam	PROPN
ejpam-4579	166	2	j	j	PROPN
ejpam-4579	166	3	optimization	optimization	NOUN
ejpam-4579	166	4	,	,	PUNCT
ejpam-4579	166	5	2006	2006	NUM
ejpam-4579	166	6	.	.	PUNCT
ejpam-4579	167	1	[	[	X
ejpam-4579	167	2	15	15	NUM
ejpam-4579	167	3	]	]	X
ejpam-4579	167	4	elijah	elijah	PROPN
ejpam-4579	167	5	polak	polak	PROPN
ejpam-4579	167	6	and	and	CCONJ
ejpam-4579	167	7	gerard	gerard	PROPN
ejpam-4579	167	8	ribiere	ribiere	PROPN
ejpam-4579	167	9	.	.	PUNCT
ejpam-4579	168	1	note	note	VERB
ejpam-4579	168	2	sur	sur	PROPN
ejpam-4579	168	3	la	la	X
ejpam-4579	168	4	convergence	convergence	NOUN
ejpam-4579	168	5	de	de	X
ejpam-4579	168	6	méthodes	méthodes	X
ejpam-4579	168	7	de	de	PROPN
ejpam-4579	168	8	directions	direction	NOUN
ejpam-4579	168	9	conjuguées	conjuguées	PROPN
ejpam-4579	168	10	.	.	PUNCT
ejpam-4579	169	1	revue	revue	PROPN
ejpam-4579	169	2	française	française	PROPN
ejpam-4579	169	3	d’informatique	d’informatique	NOUN
ejpam-4579	169	4	et	et	X
ejpam-4579	169	5	de	de	X
ejpam-4579	169	6	recherche	recherche	X
ejpam-4579	169	7	opérationnelle	opérationnelle	PROPN
ejpam-4579	169	8	.	.	PUNCT
ejpam-4579	170	1	série	série	PROPN
ejpam-4579	170	2	rouge	rouge	PROPN
ejpam-4579	170	3	,	,	PUNCT
ejpam-4579	170	4	3(16):35–43	3(16):35–43	NUM
ejpam-4579	170	5	,	,	PUNCT
ejpam-4579	170	6	1969	1969	NUM
ejpam-4579	170	7	.	.	PUNCT
ejpam-4579	171	1	[	[	X
ejpam-4579	171	2	16	16	NUM
ejpam-4579	171	3	]	]	X
ejpam-4579	171	4	wei	wei	PROPN
ejpam-4579	171	5	xue	xue	PROPN
ejpam-4579	171	6	,	,	PUNCT
ejpam-4579	171	7	junhong	junhong	PROPN
ejpam-4579	171	8	ren	ren	PROPN
ejpam-4579	171	9	,	,	PUNCT
ejpam-4579	171	10	xiao	xiao	PROPN
ejpam-4579	171	11	zheng	zheng	PROPN
ejpam-4579	171	12	,	,	PUNCT
ejpam-4579	171	13	zhi	zhi	PROPN
ejpam-4579	171	14	liu	liu	PROPN
ejpam-4579	171	15	,	,	PUNCT
ejpam-4579	171	16	and	and	CCONJ
ejpam-4579	171	17	yueyong	yueyong	PROPN
ejpam-4579	171	18	liang	liang	PROPN
ejpam-4579	171	19	.	.	PUNCT
ejpam-4579	172	1	a	a	DET
ejpam-4579	172	2	new	new	ADJ
ejpam-4579	172	3	dy	dy	NOUN
ejpam-4579	172	4	conjugate	conjugate	ADJ
ejpam-4579	172	5	gradient	gradient	NOUN
ejpam-4579	172	6	method	method	NOUN
ejpam-4579	172	7	and	and	CCONJ
ejpam-4579	172	8	applications	application	NOUN
ejpam-4579	172	9	to	to	PART
ejpam-4579	172	10	image	image	VERB
ejpam-4579	172	11	denoising	denoise	VERB
ejpam-4579	172	12	.	.	PUNCT
ejpam-4579	173	1	ieice	ieice	NOUN
ejpam-4579	173	2	transactions	transaction	NOUN
ejpam-4579	173	3	on	on	ADP
ejpam-4579	173	4	information	information	NOUN
ejpam-4579	173	5	and	and	CCONJ
ejpam-4579	173	6	systems	system	NOUN
ejpam-4579	173	7	,	,	PUNCT
ejpam-4579	173	8	101(12):2984–2990	101(12):2984–2990	NUM
ejpam-4579	173	9	,	,	PUNCT
ejpam-4579	173	10	2018	2018	NUM
ejpam-4579	173	11	.	.	PUNCT
ejpam-4579	174	1	references	reference	NOUN
ejpam-4579	174	2	2053	2053	NUM
ejpam-4579	174	3	[	[	X
ejpam-4579	174	4	17	17	NUM
ejpam-4579	174	5	]	]	X
ejpam-4579	174	6	gaohang	gaohang	PROPN
ejpam-4579	174	7	yu	yu	PROPN
ejpam-4579	174	8	,	,	PUNCT
ejpam-4579	174	9	jinhong	jinhong	PROPN
ejpam-4579	174	10	huang	huang	PROPN
ejpam-4579	174	11	,	,	PUNCT
ejpam-4579	174	12	and	and	CCONJ
ejpam-4579	174	13	yi	yi	PROPN
ejpam-4579	174	14	zhou	zhou	PROPN
ejpam-4579	174	15	.	.	PUNCT
ejpam-4579	175	1	a	a	DET
ejpam-4579	175	2	descent	descent	NOUN
ejpam-4579	175	3	spectral	spectral	ADJ
ejpam-4579	175	4	conjugate	conjugate	ADJ
ejpam-4579	175	5	gradient	gradient	NOUN
ejpam-4579	175	6	method	method	NOUN
ejpam-4579	175	7	for	for	ADP
ejpam-4579	175	8	impulse	impulse	ADJ
ejpam-4579	175	9	noise	noise	NOUN
ejpam-4579	175	10	removal	removal	NOUN
ejpam-4579	175	11	.	.	PUNCT
ejpam-4579	176	1	applied	apply	VERB
ejpam-4579	176	2	mathematics	mathematics	NOUN
ejpam-4579	176	3	letters	letter	NOUN
ejpam-4579	176	4	,	,	PUNCT
ejpam-4579	176	5	23(5):555–560	23(5):555–560	PROPN
ejpam-4579	176	6	,	,	PUNCT
ejpam-4579	176	7	2010	2010	NUM
ejpam-4579	176	8	.	.	PUNCT
ejpam-4579	177	1	[	[	X
ejpam-4579	177	2	18	18	NUM
ejpam-4579	177	3	]	]	X
ejpam-4579	177	4	g	g	PROPN
ejpam-4579	177	5	zoutendijk	zoutendijk	PROPN
ejpam-4579	177	6	.	.	PUNCT
ejpam-4579	178	1	nonlinear	nonlinear	ADJ
ejpam-4579	178	2	programming	programming	NOUN
ejpam-4579	178	3	,	,	PUNCT
ejpam-4579	178	4	computational	computational	ADJ
ejpam-4579	178	5	methods	method	NOUN
ejpam-4579	178	6	.	.	PUNCT
ejpam-4579	179	1	integer	integer	NOUN
ejpam-4579	179	2	and	and	CCONJ
ejpam-4579	179	3	nonlinear	nonlinear	ADJ
ejpam-4579	179	4	programming	programming	NOUN
ejpam-4579	179	5	,	,	PUNCT
ejpam-4579	179	6	pages	page	NOUN
ejpam-4579	179	7	37–86	37–86	NUM
ejpam-4579	179	8	,	,	PUNCT
ejpam-4579	179	9	1970	1970	NUM
ejpam-4579	179	10	.	.	PUNCT