id	sid	tid	token	lemma	pos
ejpam-4460	1	1	european	european	PROPN
ejpam-4460	1	2	journal	journal	PROPN
ejpam-4460	1	3	of	of	ADP
ejpam-4460	1	4	pure	pure	ADJ
ejpam-4460	1	5	and	and	CCONJ
ejpam-4460	1	6	applied	apply	VERB
ejpam-4460	1	7	mathematics	mathematic	NOUN
ejpam-4460	1	8	vol	vol	NOUN
ejpam-4460	1	9	.	.	PROPN
ejpam-4460	2	1	15	15	NUM
ejpam-4460	2	2	,	,	PUNCT
ejpam-4460	2	3	no	no	INTJ
ejpam-4460	2	4	.	.	NOUN
ejpam-4460	2	5	3	3	NUM
ejpam-4460	2	6	,	,	PUNCT
ejpam-4460	2	7	2022	2022	NUM
ejpam-4460	2	8	,	,	PUNCT
ejpam-4460	2	9	1301	1301	NUM
ejpam-4460	2	10	-	-	SYM
ejpam-4460	2	11	1306	1306	NUM
ejpam-4460	2	12	issn	issn	PROPN
ejpam-4460	2	13	1307	1307	NUM
ejpam-4460	2	14	-	-	SYM
ejpam-4460	2	15	5543	5543	NUM
ejpam-4460	2	16	–	–	PUNCT
ejpam-4460	3	1	ejpam.com	ejpam.com	X
ejpam-4460	3	2	published	publish	VERB
ejpam-4460	3	3	by	by	ADP
ejpam-4460	3	4	new	new	PROPN
ejpam-4460	3	5	york	york	PROPN
ejpam-4460	3	6	business	business	PROPN
ejpam-4460	3	7	global	global	PROPN
ejpam-4460	3	8	a	a	DET
ejpam-4460	3	9	new	new	ADJ
ejpam-4460	3	10	secant	secant	ADJ
ejpam-4460	3	11	type	type	NOUN
ejpam-4460	3	12	method	method	NOUN
ejpam-4460	3	13	with	with	ADP
ejpam-4460	3	14	quadratic	quadratic	ADJ
ejpam-4460	3	15	-	-	PUNCT
ejpam-4460	3	16	order	order	NOUN
ejpam-4460	3	17	convergence	convergence	NOUN
ejpam-4460	3	18	zinah	zinah	PROPN
ejpam-4460	3	19	f.	f.	PROPN
ejpam-4460	3	20	salih1,∗	salih1,∗	PROPN
ejpam-4460	3	21	,	,	PUNCT
ejpam-4460	3	22	basim	basim	PROPN
ejpam-4460	3	23	a.	a.	PROPN
ejpam-4460	3	24	hassan1	hassan1	PROPN
ejpam-4460	3	25	,	,	PUNCT
ejpam-4460	3	26	barah	barah	PROPN
ejpam-4460	3	27	m.	m.	NOUN
ejpam-4460	3	28	sulaiman1	sulaiman1	PROPN
ejpam-4460	3	29	1	1	NUM
ejpam-4460	3	30	department	department	NOUN
ejpam-4460	3	31	of	of	ADP
ejpam-4460	3	32	mathematics	mathematic	NOUN
ejpam-4460	3	33	,	,	PUNCT
ejpam-4460	3	34	college	college	NOUN
ejpam-4460	3	35	of	of	ADP
ejpam-4460	3	36	computers	computer	NOUN
ejpam-4460	3	37	sciences	sciences	PROPN
ejpam-4460	3	38	and	and	CCONJ
ejpam-4460	3	39	mathematics	mathematic	NOUN
ejpam-4460	3	40	,	,	PUNCT
ejpam-4460	3	41	university	university	PROPN
ejpam-4460	3	42	of	of	ADP
ejpam-4460	3	43	mosul	mosul	PROPN
ejpam-4460	3	44	,	,	PUNCT
ejpam-4460	3	45	iraq	iraq	PROPN
ejpam-4460	3	46	abstract	abstract	NOUN
ejpam-4460	3	47	.	.	PUNCT
ejpam-4460	4	1	using	use	VERB
ejpam-4460	4	2	the	the	DET
ejpam-4460	4	3	development	development	NOUN
ejpam-4460	4	4	of	of	ADP
ejpam-4460	4	5	the	the	DET
ejpam-4460	4	6	second	second	ADJ
ejpam-4460	4	7	approximation	approximation	NOUN
ejpam-4460	4	8	,	,	PUNCT
ejpam-4460	4	9	a	a	DET
ejpam-4460	4	10	variation	variation	NOUN
ejpam-4460	4	11	of	of	ADP
ejpam-4460	4	12	the	the	DET
ejpam-4460	4	13	standard	standard	ADJ
ejpam-4460	4	14	secant	secant	ADJ
ejpam-4460	4	15	technique	technique	NOUN
ejpam-4460	4	16	for	for	ADP
ejpam-4460	4	17	nonlinear	nonlinear	ADJ
ejpam-4460	4	18	problems	problem	NOUN
ejpam-4460	4	19	has	have	AUX
ejpam-4460	4	20	been	be	AUX
ejpam-4460	4	21	developed	develop	VERB
ejpam-4460	4	22	.	.	PUNCT
ejpam-4460	5	1	the	the	DET
ejpam-4460	5	2	iterative	iterative	NOUN
ejpam-4460	5	3	formula	formula	NOUN
ejpam-4460	5	4	is	be	AUX
ejpam-4460	5	5	created	create	VERB
ejpam-4460	5	6	using	use	VERB
ejpam-4460	5	7	taylor	taylor	PROPN
ejpam-4460	5	8	series	series	PROPN
ejpam-4460	5	9	expansion	expansion	NOUN
ejpam-4460	5	10	,	,	PUNCT
ejpam-4460	5	11	which	which	PRON
ejpam-4460	5	12	includes	include	VERB
ejpam-4460	5	13	an	an	DET
ejpam-4460	5	14	estimate	estimate	NOUN
ejpam-4460	5	15	of	of	ADP
ejpam-4460	5	16	the	the	DET
ejpam-4460	5	17	second	second	ADJ
ejpam-4460	5	18	derivative	derivative	NOUN
ejpam-4460	5	19	of	of	ADP
ejpam-4460	5	20	θ(µ	θ(µ	PROPN
ejpam-4460	5	21	)	)	PUNCT
ejpam-4460	5	22	.	.	PUNCT
ejpam-4460	6	1	it	it	PRON
ejpam-4460	6	2	is	be	AUX
ejpam-4460	6	3	demonstrated	demonstrate	VERB
ejpam-4460	6	4	that	that	SCONJ
ejpam-4460	6	5	the	the	DET
ejpam-4460	6	6	new	new	ADJ
ejpam-4460	6	7	approaches	approach	NOUN
ejpam-4460	6	8	have	have	VERB
ejpam-4460	6	9	quadratic	quadratic	ADJ
ejpam-4460	6	10	convergence	convergence	NOUN
ejpam-4460	6	11	.	.	PUNCT
ejpam-4460	7	1	in	in	ADP
ejpam-4460	7	2	comparison	comparison	NOUN
ejpam-4460	7	3	with	with	ADP
ejpam-4460	7	4	the	the	DET
ejpam-4460	7	5	newton	newton	PROPN
ejpam-4460	7	6	technique	technique	NOUN
ejpam-4460	7	7	employing	employ	VERB
ejpam-4460	7	8	seven	seven	NUM
ejpam-4460	7	9	test	test	NOUN
ejpam-4460	7	10	functions	function	NOUN
ejpam-4460	7	11	in	in	ADP
ejpam-4460	7	12	the	the	DET
ejpam-4460	7	13	practical	practical	ADJ
ejpam-4460	7	14	application	application	NOUN
ejpam-4460	7	15	,	,	PUNCT
ejpam-4460	7	16	it	it	PRON
ejpam-4460	7	17	turns	turn	VERB
ejpam-4460	7	18	out	out	ADP
ejpam-4460	7	19	that	that	SCONJ
ejpam-4460	7	20	the	the	DET
ejpam-4460	7	21	performance	performance	NOUN
ejpam-4460	7	22	of	of	ADP
ejpam-4460	7	23	the	the	DET
ejpam-4460	7	24	method	method	NOUN
ejpam-4460	7	25	is	be	AUX
ejpam-4460	7	26	efficient	efficient	ADJ
ejpam-4460	7	27	.	.	PUNCT
ejpam-4460	8	1	2020	2020	NUM
ejpam-4460	8	2	mathematics	mathematic	NOUN
ejpam-4460	8	3	subject	subject	NOUN
ejpam-4460	8	4	classifications	classification	NOUN
ejpam-4460	8	5	:	:	PUNCT
ejpam-4460	8	6	65k10	65k10	NUM
ejpam-4460	8	7	key	key	ADJ
ejpam-4460	8	8	words	word	NOUN
ejpam-4460	8	9	and	and	CCONJ
ejpam-4460	8	10	phrases	phrase	NOUN
ejpam-4460	8	11	:	:	PUNCT
ejpam-4460	8	12	new	new	ADJ
ejpam-4460	8	13	secant	secant	ADJ
ejpam-4460	8	14	type	type	NOUN
ejpam-4460	8	15	method	method	NOUN
ejpam-4460	8	16	,	,	PUNCT
ejpam-4460	8	17	iteration	iteration	NOUN
ejpam-4460	8	18	methods	method	NOUN
ejpam-4460	8	19	,	,	PUNCT
ejpam-4460	8	20	test	test	NOUN
ejpam-4460	8	21	functions	function	NOUN
ejpam-4460	8	22	1	1	NUM
ejpam-4460	8	23	.	.	PUNCT
ejpam-4460	9	1	introduction	introduction	NOUN
ejpam-4460	9	2	consider	consider	VERB
ejpam-4460	9	3	the	the	DET
ejpam-4460	9	4	scalar	scalar	ADJ
ejpam-4460	9	5	function	function	NOUN
ejpam-4460	9	6	θ	θ	PROPN
ejpam-4460	9	7	,	,	PUNCT
ejpam-4460	9	8	which	which	PRON
ejpam-4460	9	9	is	be	AUX
ejpam-4460	9	10	determined	determine	VERB
ejpam-4460	9	11	by	by	ADP
ejpam-4460	9	12	a	a	DET
ejpam-4460	9	13	single	single	ADJ
ejpam-4460	9	14	independent	independent	ADJ
ejpam-4460	9	15	variable	variable	NOUN
ejpam-4460	9	16	,	,	PUNCT
ejpam-4460	9	17	µ.	µ.	PROPN
ejpam-4460	9	18	assume	assume	VERB
ejpam-4460	9	19	we	we	PRON
ejpam-4460	9	20	wish	wish	VERB
ejpam-4460	9	21	to	to	PART
ejpam-4460	9	22	determine	determine	VERB
ejpam-4460	9	23	the	the	DET
ejpam-4460	9	24	value	value	NOUN
ejpam-4460	9	25	of	of	ADP
ejpam-4460	9	26	µ	µ	PRON
ejpam-4460	9	27	where	where	SCONJ
ejpam-4460	9	28	θ(µ	θ(µ	NOUN
ejpam-4460	9	29	)	)	PUNCT
ejpam-4460	9	30	is	be	AUX
ejpam-4460	9	31	the	the	DET
ejpam-4460	9	32	minimum	minimum	ADJ
ejpam-4460	9	33	value	value	NOUN
ejpam-4460	9	34	,	,	PUNCT
ejpam-4460	9	35	as	as	SCONJ
ejpam-4460	9	36	shown	show	VERB
ejpam-4460	9	37	in	in	ADP
ejpam-4460	9	38	[	[	X
ejpam-4460	9	39	11	11	NUM
ejpam-4460	9	40	]	]	PUNCT
ejpam-4460	9	41	.	.	PUNCT
ejpam-4460	10	1	gradient	gradient	NOUN
ejpam-4460	10	2	-	-	PUNCT
ejpam-4460	10	3	based	base	VERB
ejpam-4460	10	4	minimization	minimization	NOUN
ejpam-4460	10	5	approaches	approach	NOUN
ejpam-4460	10	6	look	look	VERB
ejpam-4460	10	7	for	for	ADP
ejpam-4460	10	8	spots	spot	NOUN
ejpam-4460	10	9	that	that	PRON
ejpam-4460	10	10	satisfy	satisfy	VERB
ejpam-4460	10	11	the	the	DET
ejpam-4460	10	12	optimality	optimality	NOUN
ejpam-4460	10	13	conditions	condition	NOUN
ejpam-4460	10	14	to	to	PART
ejpam-4460	10	15	find	find	VERB
ejpam-4460	10	16	a	a	DET
ejpam-4460	10	17	local	local	ADJ
ejpam-4460	10	18	minimum	minimum	NOUN
ejpam-4460	10	19	.	.	PUNCT
ejpam-4460	11	1	finding	find	VERB
ejpam-4460	11	2	µ∗	µ∗	NOUN
ejpam-4460	11	3	that	that	SCONJ
ejpam-4460	11	4	satisfies	satisfy	VERB
ejpam-4460	11	5	the	the	DET
ejpam-4460	11	6	first	first	ADJ
ejpam-4460	11	7	-	-	PUNCT
ejpam-4460	11	8	order	order	NOUN
ejpam-4460	11	9	optimality	optimality	NOUN
ejpam-4460	11	10	requirements	requirement	NOUN
ejpam-4460	11	11	,	,	PUNCT
ejpam-4460	11	12	i.e.	i.e.	X
ejpam-4460	11	13	:	:	PUNCT
ejpam-4460	11	14	θ	θ	NOUN
ejpam-4460	11	15	′	′	NUM
ejpam-4460	11	16	(	(	PUNCT
ejpam-4460	11	17	µ∗	µ∗	PROPN
ejpam-4460	11	18	)	)	PUNCT
ejpam-4460	11	19	=	=	SYM
ejpam-4460	11	20	0	0	NUM
ejpam-4460	11	21	(	(	PUNCT
ejpam-4460	11	22	1	1	NUM
ejpam-4460	11	23	)	)	PUNCT
ejpam-4460	11	24	is	be	AUX
ejpam-4460	11	25	equivalent	equivalent	ADJ
ejpam-4460	11	26	to	to	ADP
ejpam-4460	11	27	finding	find	VERB
ejpam-4460	11	28	the	the	DET
ejpam-4460	11	29	roots	root	NOUN
ejpam-4460	11	30	of	of	ADP
ejpam-4460	11	31	the	the	DET
ejpam-4460	11	32	function	function	NOUN
ejpam-4460	11	33	to	to	PART
ejpam-4460	11	34	be	be	AUX
ejpam-4460	11	35	a	a	DET
ejpam-4460	11	36	minimum	minimum	NOUN
ejpam-4460	11	37	of	of	ADP
ejpam-4460	11	38	its	its	PRON
ejpam-4460	11	39	first	first	ADJ
ejpam-4460	11	40	derivative	derivative	NOUN
ejpam-4460	11	41	.	.	PUNCT
ejpam-4460	12	1	because	because	SCONJ
ejpam-4460	12	2	of	of	ADP
ejpam-4460	12	3	this	this	PRON
ejpam-4460	12	4	,	,	PUNCT
ejpam-4460	12	5	root	root	NOUN
ejpam-4460	12	6	finding	finding	NOUN
ejpam-4460	12	7	methods	method	NOUN
ejpam-4460	12	8	are	be	AUX
ejpam-4460	12	9	effective	effective	ADJ
ejpam-4460	12	10	in	in	ADP
ejpam-4460	12	11	function	function	NOUN
ejpam-4460	12	12	reduction	reduction	NOUN
ejpam-4460	12	13	and	and	CCONJ
ejpam-4460	12	14	may	may	AUX
ejpam-4460	12	15	be	be	AUX
ejpam-4460	12	16	used	use	VERB
ejpam-4460	12	17	to	to	PART
ejpam-4460	12	18	identify	identify	VERB
ejpam-4460	12	19	stationary	stationary	ADJ
ejpam-4460	12	20	locations	location	NOUN
ejpam-4460	12	21	.	.	PUNCT
ejpam-4460	13	1	see	see	VERB
ejpam-4460	13	2	[	[	X
ejpam-4460	13	3	2][7	2][7	X
ejpam-4460	13	4	]	]	X
ejpam-4460	13	5	for	for	ADP
ejpam-4460	13	6	further	further	ADJ
ejpam-4460	13	7	information	information	NOUN
ejpam-4460	13	8	.	.	PUNCT
ejpam-4460	14	1	in	in	ADP
ejpam-4460	14	2	regard	regard	NOUN
ejpam-4460	14	3	to	to	ADP
ejpam-4460	14	4	different	different	ADJ
ejpam-4460	14	5	approximation	approximation	NOUN
ejpam-4460	14	6	approaches	approach	NOUN
ejpam-4460	14	7	in	in	ADP
ejpam-4460	14	8	terms	term	NOUN
ejpam-4460	14	9	of	of	ADP
ejpam-4460	14	10	convergence	convergence	NOUN
ejpam-4460	14	11	,	,	PUNCT
ejpam-4460	14	12	newton	newton	PROPN
ejpam-4460	14	13	’s	’s	PART
ejpam-4460	14	14	method	method	NOUN
ejpam-4460	14	15	is	be	AUX
ejpam-4460	14	16	the	the	DET
ejpam-4460	14	17	most	most	ADV
ejpam-4460	14	18	appealing	appealing	ADJ
ejpam-4460	14	19	,	,	PUNCT
ejpam-4460	14	20	as	as	SCONJ
ejpam-4460	14	21	illustrated	illustrate	VERB
ejpam-4460	14	22	in	in	ADP
ejpam-4460	14	23	[	[	X
ejpam-4460	14	24	10][1	10][1	NUM
ejpam-4460	14	25	]	]	PUNCT
ejpam-4460	14	26	.	.	PUNCT
ejpam-4460	15	1	it	it	PRON
ejpam-4460	15	2	works	work	VERB
ejpam-4460	15	3	by	by	ADP
ejpam-4460	15	4	locally	locally	ADV
ejpam-4460	15	5	approximating	approximate	VERB
ejpam-4460	15	6	the	the	DET
ejpam-4460	15	7	objective	objective	ADJ
ejpam-4460	15	8	function	function	NOUN
ejpam-4460	15	9	using	use	VERB
ejpam-4460	15	10	a	a	DET
ejpam-4460	15	11	quadratic	quadratic	ADJ
ejpam-4460	15	12	model	model	NOUN
ejpam-4460	15	13	that	that	PRON
ejpam-4460	15	14	decides	decide	VERB
ejpam-4460	15	15	on	on	ADP
ejpam-4460	15	16	it	it	PRON
ejpam-4460	15	17	at	at	ADP
ejpam-4460	15	18	a	a	DET
ejpam-4460	15	19	given	give	VERB
ejpam-4460	15	20	place	place	NOUN
ejpam-4460	15	21	.	.	PUNCT
ejpam-4460	16	1	the	the	DET
ejpam-4460	16	2	∗corresponding	∗corresponde	VERB
ejpam-4460	16	3	author	author	NOUN
ejpam-4460	16	4	.	.	PUNCT
ejpam-4460	17	1	doi	doi	NOUN
ejpam-4460	17	2	:	:	PUNCT
ejpam-4460	17	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4460	https://doi.org/10.29020/nybg.ejpam.v15i3.4460	ADJ
ejpam-4460	17	4	email	email	NOUN
ejpam-4460	17	5	addresses	address	NOUN
ejpam-4460	17	6	:	:	PUNCT
ejpam-4460	17	7	zn−f2020@uomosul.edu.iq	zn−f2020@uomosul.edu.iq	NUM
ejpam-4460	17	8	(	(	PUNCT
ejpam-4460	17	9	z.	z.	PROPN
ejpam-4460	17	10	f.	f.	PROPN
ejpam-4460	17	11	salih	salih	PROPN
ejpam-4460	17	12	)	)	PUNCT
ejpam-4460	17	13	,	,	PUNCT
ejpam-4460	17	14	basimah@uomosul.edu.iq	basimah@uomosul.edu.iq	PROPN
ejpam-4460	17	15	(	(	PUNCT
ejpam-4460	17	16	b.	b.	PROPN
ejpam-4460	17	17	a.	a.	PROPN
ejpam-4460	17	18	hassan	hassan	PROPN
ejpam-4460	17	19	)	)	PUNCT
ejpam-4460	17	20	,	,	PUNCT
ejpam-4460	17	21	barah−mahmood82@uomosul.edu.iq	barah−mahmood82@uomosul.edu.iq	NOUN
ejpam-4460	17	22	(	(	PUNCT
ejpam-4460	17	23	b.	b.	PROPN
ejpam-4460	17	24	m.	m.	PROPN
ejpam-4460	17	25	sulaiman	sulaiman	PROPN
ejpam-4460	17	26	)	)	PUNCT
ejpam-4460	17	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4460	17	28	1301	1301	NUM
ejpam-4460	18	1	©	©	PROPN
ejpam-4460	18	2	2022	2022	NUM
ejpam-4460	18	3	ejpam	ejpam	VERB
ejpam-4460	18	4	all	all	DET
ejpam-4460	18	5	rights	right	NOUN
ejpam-4460	18	6	reserved	reserve	VERB
ejpam-4460	18	7	.	.	PUNCT
ejpam-4460	19	1	z.	z.	PROPN
ejpam-4460	19	2	f.	f.	PROPN
ejpam-4460	19	3	salih	salih	PROPN
ejpam-4460	19	4	,	,	PUNCT
ejpam-4460	19	5	b.	b.	PROPN
ejpam-4460	19	6	a.	a.	PROPN
ejpam-4460	19	7	hassan	hassan	PROPN
ejpam-4460	19	8	,	,	PUNCT
ejpam-4460	19	9	b.	b.	PROPN
ejpam-4460	19	10	m.	m.	PROPN
ejpam-4460	19	11	sulaiman	sulaiman	PROPN
ejpam-4460	19	12	/	/	SYM
ejpam-4460	19	13	eur	eur	PROPN
ejpam-4460	19	14	.	.	PUNCT
ejpam-4460	20	1	j.	j.	PROPN
ejpam-4460	20	2	pure	pure	PROPN
ejpam-4460	20	3	appl	appl	PROPN
ejpam-4460	20	4	.	.	PROPN
ejpam-4460	20	5	math	math	PROPN
ejpam-4460	20	6	,	,	PUNCT
ejpam-4460	20	7	15	15	NUM
ejpam-4460	20	8	(	(	PUNCT
ejpam-4460	20	9	3	3	NUM
ejpam-4460	20	10	)	)	PUNCT
ejpam-4460	20	11	(	(	PUNCT
ejpam-4460	20	12	2022	2022	NUM
ejpam-4460	20	13	)	)	PUNCT
ejpam-4460	20	14	,	,	PUNCT
ejpam-4460	20	15	1301	1301	NUM
ejpam-4460	20	16	-	-	SYM
ejpam-4460	20	17	1306	1306	NUM
ejpam-4460	20	18	1302	1302	NUM
ejpam-4460	20	19	technique	technique	NOUN
ejpam-4460	20	20	can	can	AUX
ejpam-4460	20	21	be	be	AUX
ejpam-4460	20	22	recurrent	recurrent	ADJ
ejpam-4460	20	23	indefinitely	indefinitely	ADV
ejpam-4460	20	24	until	until	SCONJ
ejpam-4460	20	25	the	the	DET
ejpam-4460	20	26	approximation	approximation	NOUN
ejpam-4460	20	27	function	function	NOUN
ejpam-4460	20	28	is	be	AUX
ejpam-4460	20	29	optimal	optimal	ADJ
ejpam-4460	20	30	.	.	PUNCT
ejpam-4460	21	1	newton	newton	PROPN
ejpam-4460	21	2	’s	’s	PART
ejpam-4460	21	3	approach	approach	NOUN
ejpam-4460	21	4	,	,	PUNCT
ejpam-4460	21	5	on	on	ADP
ejpam-4460	21	6	the	the	DET
ejpam-4460	21	7	other	other	ADJ
ejpam-4460	21	8	hand	hand	NOUN
ejpam-4460	21	9	,	,	PUNCT
ejpam-4460	21	10	is	be	AUX
ejpam-4460	21	11	widely	widely	ADV
ejpam-4460	21	12	recognized	recognize	VERB
ejpam-4460	21	13	for	for	ADP
ejpam-4460	21	14	requiring	require	VERB
ejpam-4460	21	15	assessment	assessment	NOUN
ejpam-4460	21	16	of	of	ADP
ejpam-4460	21	17	the	the	DET
ejpam-4460	21	18	1st	1st	ADJ
ejpam-4460	21	19	and	and	CCONJ
ejpam-4460	21	20	2nd	2nd	ADJ
ejpam-4460	21	21	derivatives	derivative	NOUN
ejpam-4460	21	22	in	in	ADP
ejpam-4460	21	23	each	each	DET
ejpam-4460	21	24	iteration	iteration	NOUN
ejpam-4460	21	25	,	,	PUNCT
ejpam-4460	21	26	as	as	SCONJ
ejpam-4460	21	27	shown	show	VERB
ejpam-4460	21	28	by	by	ADP
ejpam-4460	21	29	the	the	DET
ejpam-4460	21	30	iteration	iteration	NOUN
ejpam-4460	21	31	formula	formula	NOUN
ejpam-4460	21	32	:	:	PUNCT
ejpam-4460	21	33	see	see	VERB
ejpam-4460	22	1	[	[	X
ejpam-4460	22	2	14][13	14][13	X
ejpam-4460	22	3	]	]	X
ejpam-4460	22	4	for	for	ADP
ejpam-4460	22	5	further	further	ADJ
ejpam-4460	22	6	information	information	NOUN
ejpam-4460	22	7	.	.	PUNCT
ejpam-4460	23	1	µi+1	µi+1	X
ejpam-4460	23	2	=	=	SYM
ejpam-4460	24	1	µi	µi	ADP
ejpam-4460	24	2	−	−	NUM
ejpam-4460	24	3	θ	θ	NOUN
ejpam-4460	24	4	′	′	NUM
ejpam-4460	24	5	(	(	PUNCT
ejpam-4460	24	6	µi	µi	PROPN
ejpam-4460	24	7	)	)	PUNCT
ejpam-4460	24	8	θ′′(µi	θ′′(µi	NOUN
ejpam-4460	24	9	)	)	PUNCT
ejpam-4460	24	10	(	(	PUNCT
ejpam-4460	24	11	2	2	X
ejpam-4460	24	12	)	)	PUNCT
ejpam-4460	24	13	to	to	PART
ejpam-4460	24	14	avoid	avoid	VERB
ejpam-4460	24	15	this	this	PRON
ejpam-4460	24	16	,	,	PUNCT
ejpam-4460	24	17	certain	certain	ADJ
ejpam-4460	24	18	newton	newton	NOUN
ejpam-4460	24	19	-	-	PUNCT
ejpam-4460	24	20	type	type	NOUN
ejpam-4460	24	21	methods	method	NOUN
ejpam-4460	24	22	are	be	AUX
ejpam-4460	24	23	referred	refer	VERB
ejpam-4460	24	24	to	to	ADP
ejpam-4460	24	25	as	as	ADP
ejpam-4460	24	26	secant	secant	ADJ
ejpam-4460	24	27	methods	method	NOUN
ejpam-4460	24	28	since	since	SCONJ
ejpam-4460	24	29	they	they	PRON
ejpam-4460	24	30	do	do	AUX
ejpam-4460	24	31	not	not	PART
ejpam-4460	24	32	require	require	VERB
ejpam-4460	24	33	the	the	DET
ejpam-4460	24	34	second	second	ADJ
ejpam-4460	24	35	derivative	derivative	NOUN
ejpam-4460	24	36	.	.	PUNCT
ejpam-4460	25	1	due	due	ADP
ejpam-4460	25	2	to	to	ADP
ejpam-4460	25	3	the	the	DET
ejpam-4460	25	4	time	time	NOUN
ejpam-4460	25	5	-	-	PUNCT
ejpam-4460	25	6	consuming	consume	VERB
ejpam-4460	25	7	and	and	CCONJ
ejpam-4460	25	8	difficulty	difficulty	NOUN
ejpam-4460	25	9	involved	involve	VERB
ejpam-4460	25	10	in	in	ADP
ejpam-4460	25	11	determining	determine	VERB
ejpam-4460	25	12	the	the	DET
ejpam-4460	25	13	second	second	ADJ
ejpam-4460	25	14	derivative	derivative	NOUN
ejpam-4460	25	15	of	of	ADP
ejpam-4460	25	16	a	a	DET
ejpam-4460	25	17	function	function	NOUN
ejpam-4460	25	18	,	,	PUNCT
ejpam-4460	25	19	the	the	DET
ejpam-4460	25	20	formula	formula	NOUN
ejpam-4460	25	21	for	for	ADP
ejpam-4460	25	22	iteration	iteration	NOUN
ejpam-4460	25	23	,	,	PUNCT
ejpam-4460	25	24	often	often	ADV
ejpam-4460	25	25	known	know	VERB
ejpam-4460	25	26	as	as	ADP
ejpam-4460	25	27	:	:	PUNCT
ejpam-4460	25	28	µi+1	µi+1	NUM
ejpam-4460	25	29	=	=	SYM
ejpam-4460	25	30	µi	µi	PROPN
ejpam-4460	25	31	−	−	NUM
ejpam-4460	25	32	θ	θ	NOUN
ejpam-4460	25	33	′	′	NUM
ejpam-4460	25	34	(	(	PUNCT
ejpam-4460	25	35	µi)(µi	µi)(µi	PUNCT
ejpam-4460	25	36	−	−	PROPN
ejpam-4460	25	37	µi−1	µi−1	PROPN
ejpam-4460	25	38	)	)	PUNCT
ejpam-4460	25	39	θ′(µi)−θ′(µi−1	θ′(µi)−θ′(µi−1	PROPN
ejpam-4460	25	40	)	)	PUNCT
ejpam-4460	25	41	(	(	PUNCT
ejpam-4460	25	42	3	3	X
ejpam-4460	25	43	)	)	PUNCT
ejpam-4460	25	44	having	having	AUX
ejpam-4460	25	45	been	be	AUX
ejpam-4460	25	46	developed	develop	VERB
ejpam-4460	25	47	,	,	PUNCT
ejpam-4460	25	48	more	more	ADJ
ejpam-4460	25	49	information	information	NOUN
ejpam-4460	25	50	may	may	AUX
ejpam-4460	25	51	be	be	AUX
ejpam-4460	25	52	found	find	VERB
ejpam-4460	25	53	in	in	ADP
ejpam-4460	25	54	[	[	X
ejpam-4460	25	55	8	8	NUM
ejpam-4460	25	56	]	]	PUNCT
ejpam-4460	25	57	.	.	PUNCT
ejpam-4460	26	1	the	the	DET
ejpam-4460	26	2	calculation	calculation	NOUN
ejpam-4460	26	3	of	of	ADP
ejpam-4460	26	4	θ	θ	PROPN
ejpam-4460	26	5	and	and	CCONJ
ejpam-4460	26	6	its	its	PRON
ejpam-4460	26	7	derivatives	derivative	NOUN
ejpam-4460	26	8	consumes	consume	VERB
ejpam-4460	26	9	the	the	DET
ejpam-4460	26	10	majority	majority	NOUN
ejpam-4460	26	11	of	of	ADP
ejpam-4460	26	12	the	the	DET
ejpam-4460	26	13	computational	computational	ADJ
ejpam-4460	26	14	time	time	NOUN
ejpam-4460	26	15	.	.	PUNCT
ejpam-4460	27	1	numerous	numerous	ADJ
ejpam-4460	27	2	studies	study	NOUN
ejpam-4460	27	3	have	have	AUX
ejpam-4460	27	4	focused	focus	VERB
ejpam-4460	27	5	on	on	ADP
ejpam-4460	27	6	nonlinear	nonlinear	ADJ
ejpam-4460	27	7	issues	issue	NOUN
ejpam-4460	27	8	that	that	PRON
ejpam-4460	27	9	do	do	AUX
ejpam-4460	27	10	not	not	PART
ejpam-4460	27	11	require	require	VERB
ejpam-4460	27	12	the	the	DET
ejpam-4460	27	13	second	second	ADJ
ejpam-4460	27	14	derivative	derivative	NOUN
ejpam-4460	27	15	(	(	PUNCT
ejpam-4460	27	16	see	see	VERB
ejpam-4460	27	17	[	[	X
ejpam-4460	27	18	10][14][4	10][14][4	NUM
ejpam-4460	27	19	]	]	PUNCT
ejpam-4460	27	20	and	and	CCONJ
ejpam-4460	27	21	[	[	X
ejpam-4460	27	22	3	3	NUM
ejpam-4460	27	23	]	]	PUNCT
ejpam-4460	27	24	,	,	PUNCT
ejpam-4460	27	25	despite	despite	SCONJ
ejpam-4460	27	26	the	the	DET
ejpam-4460	27	27	fact	fact	NOUN
ejpam-4460	27	28	that	that	SCONJ
ejpam-4460	27	29	a	a	DET
ejpam-4460	27	30	lot	lot	NOUN
ejpam-4460	27	31	of	of	ADP
ejpam-4460	27	32	new	new	ADJ
ejpam-4460	27	33	modified	modify	VERB
ejpam-4460	27	34	techniques	technique	NOUN
ejpam-4460	27	35	with	with	ADP
ejpam-4460	27	36	a	a	DET
ejpam-4460	27	37	higher	high	ADJ
ejpam-4460	27	38	convergence	convergence	NOUN
ejpam-4460	27	39	order	order	NOUN
ejpam-4460	27	40	have	have	AUX
ejpam-4460	27	41	been	be	AUX
ejpam-4460	27	42	proposed	propose	VERB
ejpam-4460	27	43	(	(	PUNCT
ejpam-4460	27	44	e.g.	e.g.	ADV
ejpam-4460	27	45	[	[	X
ejpam-4460	27	46	5][6][15][9	5][6][15][9	NOUN
ejpam-4460	27	47	]	]	PUNCT
ejpam-4460	27	48	)	)	PUNCT
ejpam-4460	27	49	.	.	PUNCT
ejpam-4460	28	1	the	the	DET
ejpam-4460	28	2	derivation	derivation	NOUN
ejpam-4460	28	3	of	of	ADP
ejpam-4460	28	4	a	a	DET
ejpam-4460	28	5	secant	secant	ADJ
ejpam-4460	28	6	approach	approach	NOUN
ejpam-4460	28	7	based	base	VERB
ejpam-4460	28	8	on	on	ADP
ejpam-4460	28	9	the	the	DET
ejpam-4460	28	10	second	second	ADJ
ejpam-4460	28	11	-	-	PUNCT
ejpam-4460	28	12	order	order	NOUN
ejpam-4460	28	13	taylor	taylor	NOUN
ejpam-4460	28	14	expansion	expansion	NOUN
ejpam-4460	28	15	is	be	AUX
ejpam-4460	28	16	presented	present	VERB
ejpam-4460	28	17	in	in	ADP
ejpam-4460	28	18	this	this	DET
ejpam-4460	28	19	study	study	NOUN
ejpam-4460	28	20	.	.	PUNCT
ejpam-4460	29	1	in	in	ADP
ejpam-4460	29	2	comparison	comparison	NOUN
ejpam-4460	29	3	to	to	ADP
ejpam-4460	29	4	the	the	DET
ejpam-4460	29	5	newton	newton	PROPN
ejpam-4460	29	6	method	method	NOUN
ejpam-4460	29	7	,	,	PUNCT
ejpam-4460	29	8	by	by	ADP
ejpam-4460	29	9	employing	employ	VERB
ejpam-4460	29	10	seven	seven	NUM
ejpam-4460	29	11	test	test	NOUN
ejpam-4460	29	12	functions	function	NOUN
ejpam-4460	29	13	,	,	PUNCT
ejpam-4460	29	14	the	the	DET
ejpam-4460	29	15	new	new	ADJ
ejpam-4460	29	16	method	method	NOUN
ejpam-4460	29	17	’s	’s	PART
ejpam-4460	29	18	performance	performance	NOUN
ejpam-4460	29	19	is	be	AUX
ejpam-4460	29	20	evaluated	evaluate	VERB
ejpam-4460	29	21	using	use	VERB
ejpam-4460	29	22	the	the	DET
ejpam-4460	29	23	most	most	ADV
ejpam-4460	29	24	common	common	ADJ
ejpam-4460	29	25	and	and	CCONJ
ejpam-4460	29	26	extensively	extensively	ADV
ejpam-4460	29	27	used	use	VERB
ejpam-4460	29	28	criterion	criterion	NOUN
ejpam-4460	29	29	:	:	PUNCT
ejpam-4460	29	30	the	the	DET
ejpam-4460	29	31	iterations	iteration	NOUN
ejpam-4460	29	32	’	'	PUNCT
ejpam-4460	29	33	number	number	NOUN
ejpam-4460	29	34	.	.	PUNCT
ejpam-4460	30	1	2	2	X
ejpam-4460	30	2	.	.	X
ejpam-4460	30	3	a	a	DET
ejpam-4460	30	4	new	new	ADJ
ejpam-4460	30	5	secant	secant	ADJ
ejpam-4460	30	6	type	type	NOUN
ejpam-4460	30	7	method	method	NOUN
ejpam-4460	30	8	an	an	DET
ejpam-4460	30	9	important	important	ADJ
ejpam-4460	30	10	category	category	NOUN
ejpam-4460	30	11	of	of	ADP
ejpam-4460	30	12	nonlinear	nonlinear	ADJ
ejpam-4460	30	13	optimization	optimization	NOUN
ejpam-4460	30	14	problems	problem	NOUN
ejpam-4460	30	15	is	be	AUX
ejpam-4460	30	16	the	the	DET
ejpam-4460	30	17	second	second	ADJ
ejpam-4460	30	18	-	-	PUNCT
ejpam-4460	30	19	order	order	NOUN
ejpam-4460	30	20	taylor	taylor	NOUN
ejpam-4460	30	21	expansion	expansion	NOUN
ejpam-4460	30	22	.	.	PUNCT
ejpam-4460	31	1	we	we	PRON
ejpam-4460	31	2	have	have	VERB
ejpam-4460	31	3	[	[	X
ejpam-4460	31	4	12	12	NUM
ejpam-4460	31	5	]	]	PUNCT
ejpam-4460	31	6	for	for	ADP
ejpam-4460	31	7	the	the	DET
ejpam-4460	31	8	second	second	ADJ
ejpam-4460	31	9	-	-	PUNCT
ejpam-4460	31	10	order	order	NOUN
ejpam-4460	31	11	taylor	taylor	NOUN
ejpam-4460	31	12	expansion	expansion	NOUN
ejpam-4460	31	13	around	around	ADP
ejpam-4460	31	14	the	the	DET
ejpam-4460	31	15	point	point	NOUN
ejpam-4460	31	16	µi	µi	ADP
ejpam-4460	31	17	:	:	PUNCT
ejpam-4460	31	18	θ(µ	θ(µ	PROPN
ejpam-4460	31	19	)	)	PUNCT
ejpam-4460	31	20	∼=	∼=	PROPN
ejpam-4460	31	21	θ(µi	θ(µi	NOUN
ejpam-4460	31	22	)	)	PUNCT
ejpam-4460	32	1	+	+	NUM
ejpam-4460	32	2	θ	θ	NOUN
ejpam-4460	32	3	′	′	NUM
ejpam-4460	32	4	(	(	PUNCT
ejpam-4460	32	5	µi)(µ−	µi)(µ−	NOUN
ejpam-4460	32	6	µi	µi	PROPN
ejpam-4460	32	7	)	)	PUNCT
ejpam-4460	32	8	+	+	CCONJ
ejpam-4460	32	9	1	1	NUM
ejpam-4460	32	10	2	2	NUM
ejpam-4460	32	11	θ	θ	NUM
ejpam-4460	32	12	′′	′′	PROPN
ejpam-4460	32	13	(	(	PUNCT
ejpam-4460	32	14	c)(µ−	c)(µ−	NOUN
ejpam-4460	32	15	µi	µi	PROPN
ejpam-4460	32	16	)	)	PUNCT
ejpam-4460	32	17	2	2	NUM
ejpam-4460	32	18	(	(	PUNCT
ejpam-4460	32	19	4	4	NUM
ejpam-4460	32	20	)	)	PUNCT
ejpam-4460	32	21	the	the	DET
ejpam-4460	32	22	minimal	minimal	ADJ
ejpam-4460	32	23	position	position	NOUN
ejpam-4460	32	24	at	at	ADP
ejpam-4460	32	25	which	which	PRON
ejpam-4460	32	26	the	the	DET
ejpam-4460	32	27	derivative	derivative	NOUN
ejpam-4460	32	28	of	of	ADP
ejpam-4460	32	29	θ(µ	θ(µ	PROPN
ejpam-4460	32	30	)	)	PUNCT
ejpam-4460	32	31	equals	equal	VERB
ejpam-4460	32	32	zero	zero	NUM
ejpam-4460	32	33	may	may	AUX
ejpam-4460	32	34	be	be	AUX
ejpam-4460	32	35	found	find	VERB
ejpam-4460	32	36	by	by	ADP
ejpam-4460	32	37	:	:	PUNCT
ejpam-4460	32	38	θ	θ	NOUN
ejpam-4460	32	39	′	′	NUM
ejpam-4460	32	40	(	(	PUNCT
ejpam-4460	32	41	µ	µ	NOUN
ejpam-4460	32	42	)	)	PUNCT
ejpam-4460	33	1	∼=	∼=	PROPN
ejpam-4460	33	2	θ	θ	NOUN
ejpam-4460	33	3	′	′	NUM
ejpam-4460	33	4	(	(	PUNCT
ejpam-4460	33	5	µi	µi	PROPN
ejpam-4460	33	6	)	)	PUNCT
ejpam-4460	33	7	+	+	NUM
ejpam-4460	33	8	θ	θ	X
ejpam-4460	33	9	′′	′′	NOUN
ejpam-4460	33	10	(	(	PUNCT
ejpam-4460	33	11	µi)(µ−	µi)(µ−	NOUN
ejpam-4460	33	12	µi	µi	ADP
ejpam-4460	33	13	)	)	PUNCT
ejpam-4460	33	14	=	=	SYM
ejpam-4460	33	15	0	0	PUNCT
ejpam-4460	33	16	(	(	PUNCT
ejpam-4460	33	17	5	5	X
ejpam-4460	33	18	)	)	PUNCT
ejpam-4460	33	19	we	we	PRON
ejpam-4460	33	20	got	get	VERB
ejpam-4460	33	21	the	the	DET
ejpam-4460	33	22	following	follow	VERB
ejpam-4460	33	23	results	result	NOUN
ejpam-4460	33	24	from	from	ADP
ejpam-4460	33	25	eqs	eqs	PROPN
ejpam-4460	33	26	.	.	PUNCT
ejpam-4460	34	1	(	(	PUNCT
ejpam-4460	34	2	4	4	NUM
ejpam-4460	34	3	)	)	PUNCT
ejpam-4460	34	4	and	and	CCONJ
ejpam-4460	34	5	(	(	PUNCT
ejpam-4460	34	6	5	5	NUM
ejpam-4460	34	7	):	):	PUNCT
ejpam-4460	34	8	θ	θ	PROPN
ejpam-4460	34	9	′′	′′	PROPN
ejpam-4460	34	10	(	(	PUNCT
ejpam-4460	34	11	µi)(µ−	µi)(µ−	NOUN
ejpam-4460	34	12	µi	µi	ADP
ejpam-4460	34	13	)	)	PUNCT
ejpam-4460	34	14	2	2	NUM
ejpam-4460	34	15	∼=	∼=	NOUN
ejpam-4460	34	16	θ(µi)−θ(µ)−	θ(µi)−θ(µ)−	ADJ
ejpam-4460	34	17	1	1	NUM
ejpam-4460	34	18	2	2	NUM
ejpam-4460	34	19	θ	θ	NOUN
ejpam-4460	34	20	′	′	NUM
ejpam-4460	34	21	(	(	PUNCT
ejpam-4460	34	22	µi)(µ−	µi)(µ−	NOUN
ejpam-4460	34	23	µi	µi	PROPN
ejpam-4460	34	24	)	)	PUNCT
ejpam-4460	34	25	(	(	PUNCT
ejpam-4460	34	26	6	6	X
ejpam-4460	34	27	)	)	PUNCT
ejpam-4460	34	28	this	this	PRON
ejpam-4460	34	29	results	result	VERB
ejpam-4460	34	30	in	in	ADP
ejpam-4460	34	31	:	:	PUNCT
ejpam-4460	35	1	θ	θ	PROPN
ejpam-4460	35	2	′′	′′	PROPN
ejpam-4460	35	3	(	(	PUNCT
ejpam-4460	35	4	µi	µi	PROPN
ejpam-4460	35	5	)	)	PUNCT
ejpam-4460	35	6	=	=	PUNCT
ejpam-4460	35	7	θ(µi)−θ(µ)−	θ(µi)−θ(µ)−	NOUN
ejpam-4460	35	8	1	1	NUM
ejpam-4460	35	9	2θ	2θ	NUM
ejpam-4460	35	10	′	′	NUM
ejpam-4460	35	11	(	(	PUNCT
ejpam-4460	35	12	µi)(µ−	µi)(µ−	NOUN
ejpam-4460	35	13	µi	µi	PROPN
ejpam-4460	35	14	)	)	PUNCT
ejpam-4460	35	15	(	(	PUNCT
ejpam-4460	35	16	µ−	µ−	PROPN
ejpam-4460	35	17	µi)2	µi)2	PROPN
ejpam-4460	35	18	(	(	PUNCT
ejpam-4460	35	19	7	7	NUM
ejpam-4460	35	20	)	)	PUNCT
ejpam-4460	35	21	the	the	DET
ejpam-4460	35	22	preceding	precede	VERB
ejpam-4460	35	23	equation	equation	NOUN
ejpam-4460	35	24	may	may	AUX
ejpam-4460	35	25	be	be	AUX
ejpam-4460	35	26	simplified	simplify	VERB
ejpam-4460	35	27	by	by	ADP
ejpam-4460	35	28	substituting	substitute	VERB
ejpam-4460	35	29	µi−1	µi−1	PROPN
ejpam-4460	35	30	for	for	ADP
ejpam-4460	35	31	µ	µ	NOUN
ejpam-4460	35	32	:	:	PUNCT
ejpam-4460	36	1	θ	θ	PROPN
ejpam-4460	36	2	′′	′′	PROPN
ejpam-4460	36	3	(	(	PUNCT
ejpam-4460	36	4	µi	µi	PROPN
ejpam-4460	36	5	)	)	PUNCT
ejpam-4460	36	6	=	=	SYM
ejpam-4460	36	7	θ(µi)−θ(µi−1)−	θ(µi)−θ(µi−1)−	NOUN
ejpam-4460	36	8	1	1	NUM
ejpam-4460	36	9	2θ	2θ	NUM
ejpam-4460	36	10	′	′	NUM
ejpam-4460	36	11	(	(	PUNCT
ejpam-4460	36	12	µi)(µi−1	µi)(µi−1	PROPN
ejpam-4460	36	13	−	−	PROPN
ejpam-4460	36	14	µi	µi	PROPN
ejpam-4460	36	15	)	)	PUNCT
ejpam-4460	36	16	(	(	PUNCT
ejpam-4460	36	17	µi−1	µi−1	PROPN
ejpam-4460	36	18	−	−	PROPN
ejpam-4460	36	19	µi)2	µi)2	PROPN
ejpam-4460	36	20	(	(	PUNCT
ejpam-4460	36	21	8)	8)	NUM
ejpam-4460	36	22	z.	z.	PROPN
ejpam-4460	36	23	f.	f.	PROPN
ejpam-4460	36	24	salih	salih	PROPN
ejpam-4460	36	25	,	,	PUNCT
ejpam-4460	36	26	b.	b.	PROPN
ejpam-4460	36	27	a.	a.	PROPN
ejpam-4460	36	28	hassan	hassan	PROPN
ejpam-4460	36	29	,	,	PUNCT
ejpam-4460	36	30	b.	b.	PROPN
ejpam-4460	36	31	m.	m.	PROPN
ejpam-4460	36	32	sulaiman	sulaiman	PROPN
ejpam-4460	36	33	/	/	SYM
ejpam-4460	36	34	eur	eur	PROPN
ejpam-4460	36	35	.	.	PUNCT
ejpam-4460	37	1	j.	j.	PROPN
ejpam-4460	37	2	pure	pure	PROPN
ejpam-4460	37	3	appl	appl	PROPN
ejpam-4460	37	4	.	.	PROPN
ejpam-4460	37	5	math	math	PROPN
ejpam-4460	37	6	,	,	PUNCT
ejpam-4460	37	7	15	15	NUM
ejpam-4460	37	8	(	(	PUNCT
ejpam-4460	37	9	3	3	NUM
ejpam-4460	37	10	)	)	PUNCT
ejpam-4460	37	11	(	(	PUNCT
ejpam-4460	37	12	2022	2022	NUM
ejpam-4460	37	13	)	)	PUNCT
ejpam-4460	37	14	,	,	PUNCT
ejpam-4460	37	15	1301	1301	NUM
ejpam-4460	37	16	-	-	SYM
ejpam-4460	37	17	1306	1306	NUM
ejpam-4460	37	18	1303	1303	NUM
ejpam-4460	37	19	when	when	SCONJ
ejpam-4460	37	20	we	we	PRON
ejpam-4460	37	21	plug	plug	VERB
ejpam-4460	37	22	eq	eq	NOUN
ejpam-4460	37	23	.	.	PUNCT
ejpam-4460	38	1	(	(	PUNCT
ejpam-4460	38	2	8)	8)	NUM
ejpam-4460	38	3	into	into	ADP
ejpam-4460	38	4	eq	eq	NOUN
ejpam-4460	38	5	.	.	PUNCT
ejpam-4460	39	1	(	(	PUNCT
ejpam-4460	39	2	2	2	NUM
ejpam-4460	39	3	)	)	PUNCT
ejpam-4460	39	4	,	,	PUNCT
ejpam-4460	39	5	we	we	PRON
ejpam-4460	39	6	get	get	VERB
ejpam-4460	39	7	:	:	PUNCT
ejpam-4460	39	8	µi+1	µi+1	NUM
ejpam-4460	39	9	=	=	SYM
ejpam-4460	39	10	µi	µi	ADP
ejpam-4460	40	1	−	−	NUM
ejpam-4460	40	2	θ	θ	NOUN
ejpam-4460	40	3	′	′	NUM
ejpam-4460	41	1	(	(	PUNCT
ejpam-4460	41	2	µi)(µi−1	µi)(µi−1	PROPN
ejpam-4460	41	3	−	−	PROPN
ejpam-4460	41	4	µi	µi	PROPN
ejpam-4460	41	5	)	)	PUNCT
ejpam-4460	41	6	2	2	NUM
ejpam-4460	41	7	θ(µi)−θ(µi−1)−	θ(µi)−θ(µi−1)−	NOUN
ejpam-4460	41	8	1	1	NUM
ejpam-4460	41	9	2θ	2θ	NUM
ejpam-4460	41	10	′(µi)(µi−1	′(µi)(µi−1	NOUN
ejpam-4460	41	11	−	−	PROPN
ejpam-4460	41	12	µi	µi	PROPN
ejpam-4460	41	13	)	)	PUNCT
ejpam-4460	41	14	(	(	PUNCT
ejpam-4460	41	15	9	9	X
ejpam-4460	41	16	)	)	PUNCT
ejpam-4460	41	17	which	which	PRON
ejpam-4460	41	18	is	be	AUX
ejpam-4460	41	19	the	the	DET
ejpam-4460	41	20	new	new	ADJ
ejpam-4460	41	21	secant	secant	ADJ
ejpam-4460	41	22	type	type	NOUN
ejpam-4460	41	23	method	method	NOUN
ejpam-4460	41	24	.	.	PUNCT
ejpam-4460	42	1	based	base	VERB
ejpam-4460	42	2	on	on	ADP
ejpam-4460	42	3	a	a	DET
ejpam-4460	42	4	new	new	ADJ
ejpam-4460	42	5	secant	secant	ADJ
ejpam-4460	42	6	type	type	NOUN
ejpam-4460	42	7	technique	technique	NOUN
ejpam-4460	42	8	,	,	PUNCT
ejpam-4460	42	9	the	the	DET
ejpam-4460	42	10	following	follow	VERB
ejpam-4460	42	11	algorithm	algorithm	NOUN
ejpam-4460	42	12	is	be	AUX
ejpam-4460	42	13	presented	present	VERB
ejpam-4460	42	14	:	:	PUNCT
ejpam-4460	43	1	1	1	X
ejpam-4460	43	2	.	.	X
ejpam-4460	43	3	put	put	VERB
ejpam-4460	43	4	ϵ	ϵ	NUM
ejpam-4460	43	5	,	,	PUNCT
ejpam-4460	43	6	µ0	µ0	NOUN
ejpam-4460	43	7	(	(	PUNCT
ejpam-4460	43	8	initial	initial	ADJ
ejpam-4460	43	9	point	point	NOUN
ejpam-4460	43	10	)	)	PUNCT
ejpam-4460	43	11	and	and	CCONJ
ejpam-4460	43	12	the	the	DET
ejpam-4460	43	13	function	function	NOUN
ejpam-4460	43	14	θ(µ0	θ(µ0	NOUN
ejpam-4460	43	15	)	)	PUNCT
ejpam-4460	43	16	,	,	PUNCT
ejpam-4460	43	17	set	set	VERB
ejpam-4460	43	18	i	i	NOUN
ejpam-4460	43	19	=	=	NOUN
ejpam-4460	43	20	0	0	NUM
ejpam-4460	43	21	.	.	NOUN
ejpam-4460	44	1	2	2	X
ejpam-4460	44	2	.	.	X
ejpam-4460	44	3	let	let	VERB
ejpam-4460	44	4	i	i	PRON
ejpam-4460	44	5	=	=	PUNCT
ejpam-4460	44	6	i+	i+	PROPN
ejpam-4460	44	7	1	1	NUM
ejpam-4460	44	8	.	.	X
ejpam-4460	44	9	3	3	X
ejpam-4460	44	10	.	.	X
ejpam-4460	44	11	set	set	VERB
ejpam-4460	44	12	µi	µi	PROPN
ejpam-4460	44	13	=	=	PUNCT
ejpam-4460	44	14	µi−1	µi−1	PROPN
ejpam-4460	44	15	−	−	PROPN
ejpam-4460	44	16	θ	θ	NOUN
ejpam-4460	44	17	′	′	NUM
ejpam-4460	45	1	(	(	PUNCT
ejpam-4460	45	2	µi−1	µi−1	PROPN
ejpam-4460	45	3	)	)	PUNCT
ejpam-4460	45	4	θ′′	θ′′	PROPN
ejpam-4460	45	5	(	(	PUNCT
ejpam-4460	45	6	µi−1	µi−1	PROPN
ejpam-4460	45	7	)	)	PUNCT
ejpam-4460	45	8	4	4	NUM
ejpam-4460	45	9	.	.	X
ejpam-4460	45	10	compute	compute	VERB
ejpam-4460	45	11	µi+1	µi+1	NUM
ejpam-4460	45	12	=	=	SYM
ejpam-4460	45	13	µi	µi	ADP
ejpam-4460	45	14	−	−	NUM
ejpam-4460	45	15	θ	θ	NOUN
ejpam-4460	45	16	′	′	NUM
ejpam-4460	45	17	(	(	PUNCT
ejpam-4460	45	18	µi)(µi−1−µi	µi)(µi−1−µi	NOUN
ejpam-4460	45	19	)	)	PUNCT
ejpam-4460	45	20	2	2	NUM
ejpam-4460	45	21	θ(µi)−θ(µi−1)−	θ(µi)−θ(µi−1)−	NOUN
ejpam-4460	45	22	1	1	NUM
ejpam-4460	45	23	2	2	NUM
ejpam-4460	45	24	θ′	θ′	NOUN
ejpam-4460	45	25	(	(	PUNCT
ejpam-4460	45	26	µi)(µi−1−µi	µi)(µi−1−µi	NOUN
ejpam-4460	45	27	)	)	PUNCT
ejpam-4460	45	28	.	.	PUNCT
ejpam-4460	46	1	5	5	X
ejpam-4460	46	2	.	.	X
ejpam-4460	46	3	stop	stop	NOUN
ejpam-4460	46	4	,	,	PUNCT
ejpam-4460	46	5	if	if	SCONJ
ejpam-4460	46	6	the	the	DET
ejpam-4460	46	7	absolute	absolute	ADJ
ejpam-4460	46	8	value	value	NOUN
ejpam-4460	46	9	of	of	ADP
ejpam-4460	46	10	|µi+1	|µi+1	NOUN
ejpam-4460	46	11	−	−	PROPN
ejpam-4460	46	12	µi|	µi|	PROPN
ejpam-4460	46	13	≤	≤	PROPN
ejpam-4460	46	14	ϵ.	ϵ.	NOUN
ejpam-4460	46	15	convergence	convergence	NOUN
ejpam-4460	46	16	rate	rate	NOUN
ejpam-4460	46	17	refers	refer	VERB
ejpam-4460	46	18	to	to	ADP
ejpam-4460	46	19	how	how	SCONJ
ejpam-4460	46	20	quickly	quickly	ADV
ejpam-4460	46	21	an	an	DET
ejpam-4460	46	22	iterative	iterative	NOUN
ejpam-4460	46	23	process	process	NOUN
ejpam-4460	46	24	approaches	approach	VERB
ejpam-4460	46	25	the	the	DET
ejpam-4460	46	26	numerical	numerical	ADJ
ejpam-4460	46	27	solution	solution	NOUN
ejpam-4460	46	28	.	.	PUNCT
ejpam-4460	47	1	3	3	X
ejpam-4460	47	2	.	.	X
ejpam-4460	47	3	analysis	analysis	NOUN
ejpam-4460	47	4	of	of	ADP
ejpam-4460	47	5	convergence	convergence	NOUN
ejpam-4460	47	6	a	a	DET
ejpam-4460	47	7	more	more	ADV
ejpam-4460	47	8	explicit	explicit	ADJ
ejpam-4460	47	9	investigation	investigation	NOUN
ejpam-4460	47	10	of	of	ADP
ejpam-4460	47	11	the	the	DET
ejpam-4460	47	12	convergence	convergence	NOUN
ejpam-4460	47	13	of	of	ADP
ejpam-4460	47	14	the	the	DET
ejpam-4460	47	15	new	new	ADJ
ejpam-4460	47	16	secant	secant	ADJ
ejpam-4460	47	17	iteration	iteration	NOUN
ejpam-4460	47	18	has	have	AUX
ejpam-4460	47	19	been	be	AUX
ejpam-4460	47	20	done	do	VERB
ejpam-4460	47	21	since	since	SCONJ
ejpam-4460	47	22	it	it	PRON
ejpam-4460	47	23	is	be	AUX
ejpam-4460	47	24	critical	critical	ADJ
ejpam-4460	47	25	for	for	ADP
ejpam-4460	47	26	the	the	DET
ejpam-4460	47	27	development	development	NOUN
ejpam-4460	47	28	of	of	ADP
ejpam-4460	47	29	optimization	optimization	NOUN
ejpam-4460	47	30	algorithms	algorithm	NOUN
ejpam-4460	47	31	.	.	PUNCT
ejpam-4460	48	1	theorem	theorem	NOUN
ejpam-4460	48	2	1	1	X
ejpam-4460	48	3	.	.	PUNCT
ejpam-4460	49	1	let	let	VERB
ejpam-4460	49	2	a	a	DET
ejpam-4460	49	3	sufficiently	sufficiently	ADV
ejpam-4460	49	4	differentiable	differentiable	ADJ
ejpam-4460	49	5	function	function	NOUN
ejpam-4460	49	6	θ	θ	NOUN
ejpam-4460	49	7	:	:	PUNCT
ejpam-4460	50	1	i	i	PRON
ejpam-4460	50	2	→	→	SYM
ejpam-4460	50	3	r	r	NOUN
ejpam-4460	50	4	,	,	PUNCT
ejpam-4460	50	5	where	where	SCONJ
ejpam-4460	50	6	i	i	PRON
ejpam-4460	50	7	is	be	AUX
ejpam-4460	50	8	an	an	DET
ejpam-4460	50	9	open	open	ADJ
ejpam-4460	50	10	interval	interval	NOUN
ejpam-4460	50	11	and	and	CCONJ
ejpam-4460	50	12	let	let	VERB
ejpam-4460	50	13	µ∗	µ∗	VERB
ejpam-4460	50	14	∈	∈	PRON
ejpam-4460	50	15	i	i	PRON
ejpam-4460	50	16	be	be	VERB
ejpam-4460	50	17	a	a	DET
ejpam-4460	50	18	zero	zero	NUM
ejpam-4460	50	19	of	of	ADP
ejpam-4460	50	20	θ	θ	PROPN
ejpam-4460	50	21	.	.	PUNCT
ejpam-4460	51	1	if	if	SCONJ
ejpam-4460	51	2	µ0	µ0	NOUN
ejpam-4460	51	3	converges	converge	VERB
ejpam-4460	51	4	to	to	PART
ejpam-4460	51	5	µ∗	µ∗	VERB
ejpam-4460	51	6	,	,	PUNCT
ejpam-4460	51	7	then	then	ADV
ejpam-4460	51	8	the	the	DET
ejpam-4460	51	9	new	new	ADJ
ejpam-4460	51	10	secant	secant	ADJ
ejpam-4460	51	11	type	type	NOUN
ejpam-4460	51	12	approach	approach	NOUN
ejpam-4460	51	13	has	have	VERB
ejpam-4460	51	14	a	a	DET
ejpam-4460	51	15	quadratic	quadratic	ADJ
ejpam-4460	51	16	convergence	convergence	NOUN
ejpam-4460	51	17	rate	rate	NOUN
ejpam-4460	51	18	.	.	PUNCT
ejpam-4460	52	1	proof	proof	NOUN
ejpam-4460	52	2	.	.	PUNCT
ejpam-4460	53	1	the	the	DET
ejpam-4460	53	2	new	new	ADJ
ejpam-4460	53	3	secant	secant	PROPN
ejpam-4460	53	4	’s	’s	PART
ejpam-4460	53	5	type	type	NOUN
ejpam-4460	53	6	method	method	NOUN
ejpam-4460	53	7	is	be	AUX
ejpam-4460	53	8	as	as	ADP
ejpam-4460	53	9	:	:	PUNCT
ejpam-4460	53	10	µi+1	µi+1	NUM
ejpam-4460	53	11	=	=	SYM
ejpam-4460	53	12	µi	µi	PROPN
ejpam-4460	53	13	−	−	NUM
ejpam-4460	53	14	θ	θ	NOUN
ejpam-4460	53	15	′	′	NUM
ejpam-4460	54	1	(	(	PUNCT
ejpam-4460	54	2	µi)(µi−1	µi)(µi−1	PROPN
ejpam-4460	54	3	−	−	PROPN
ejpam-4460	54	4	µi	µi	PROPN
ejpam-4460	54	5	)	)	PUNCT
ejpam-4460	54	6	2	2	NUM
ejpam-4460	54	7	θ(µi)−θ(µi−1)−	θ(µi)−θ(µi−1)−	NOUN
ejpam-4460	54	8	1	1	NUM
ejpam-4460	54	9	2θ	2θ	NUM
ejpam-4460	54	10	′(µi)(µi−1	′(µi)(µi−1	NOUN
ejpam-4460	54	11	−	−	PROPN
ejpam-4460	54	12	µi	µi	PROPN
ejpam-4460	54	13	)	)	PUNCT
ejpam-4460	54	14	(	(	PUNCT
ejpam-4460	54	15	10	10	NUM
ejpam-4460	54	16	)	)	PUNCT
ejpam-4460	54	17	we	we	PRON
ejpam-4460	54	18	may	may	AUX
ejpam-4460	54	19	get	get	VERB
ejpam-4460	54	20	the	the	DET
ejpam-4460	54	21	following	follow	VERB
ejpam-4460	54	22	result	result	NOUN
ejpam-4460	54	23	by	by	ADP
ejpam-4460	54	24	removing	remove	VERB
ejpam-4460	54	25	µ∗	µ∗	NOUN
ejpam-4460	54	26	from	from	ADP
ejpam-4460	54	27	both	both	DET
ejpam-4460	54	28	sides	side	NOUN
ejpam-4460	54	29	of	of	ADP
ejpam-4460	54	30	eq	eq	PROPN
ejpam-4460	54	31	.	.	PUNCT
ejpam-4460	55	1	(	(	PUNCT
ejpam-4460	55	2	10	10	NUM
ejpam-4460	55	3	):	):	PUNCT
ejpam-4460	55	4	ei+1	ei+1	X
ejpam-4460	56	1	=	=	SYM
ejpam-4460	56	2	ei	ei	X
ejpam-4460	56	3	−	−	NUM
ejpam-4460	56	4	θ	θ	NOUN
ejpam-4460	56	5	′	′	NUM
ejpam-4460	56	6	(	(	PUNCT
ejpam-4460	56	7	µi)(ei−1	µi)(ei−1	PROPN
ejpam-4460	56	8	−	−	PROPN
ejpam-4460	56	9	ei	ei	PROPN
ejpam-4460	56	10	)	)	PUNCT
ejpam-4460	56	11	2	2	NUM
ejpam-4460	56	12	θ(µi)−θ(µi−1)−	θ(µi)−θ(µi−1)−	NOUN
ejpam-4460	56	13	1	1	NUM
ejpam-4460	56	14	2θ	2θ	NUM
ejpam-4460	56	15	′(µi)(ei−1	′(µi)(ei−1	NOUN
ejpam-4460	56	16	−	−	PROPN
ejpam-4460	56	17	ei	ei	NOUN
ejpam-4460	56	18	)	)	PUNCT
ejpam-4460	56	19	(	(	PUNCT
ejpam-4460	56	20	11	11	NUM
ejpam-4460	56	21	)	)	PUNCT
ejpam-4460	56	22	where	where	SCONJ
ejpam-4460	56	23	ei	ei	NOUN
ejpam-4460	56	24	=	=	SYM
ejpam-4460	56	25	µi+1	µi+1	NUM
ejpam-4460	56	26	−	−	NOUN
ejpam-4460	56	27	µ∗	µ∗	PROPN
ejpam-4460	56	28	,	,	PUNCT
ejpam-4460	56	29	as	as	ADP
ejpam-4460	56	30	the	the	DET
ejpam-4460	56	31	error	error	NOUN
ejpam-4460	56	32	after	after	SCONJ
ejpam-4460	56	33	i	i	PRON
ejpam-4460	56	34	iterations	iteration	VERB
ejpam-4460	56	35	in	in	ADP
ejpam-4460	56	36	the	the	DET
ejpam-4460	56	37	approximate	approximate	ADJ
ejpam-4460	56	38	minimum	minimum	NOUN
ejpam-4460	56	39	.	.	PUNCT
ejpam-4460	57	1	now	now	ADV
ejpam-4460	57	2	,	,	PUNCT
ejpam-4460	57	3	using	use	VERB
ejpam-4460	57	4	taylor	taylor	PROPN
ejpam-4460	57	5	’s	’s	PART
ejpam-4460	57	6	theorem	theorem	NOUN
ejpam-4460	57	7	in	in	ADP
ejpam-4460	57	8	its	its	PRON
ejpam-4460	57	9	mean	mean	ADJ
ejpam-4460	57	10	value	value	NOUN
ejpam-4460	57	11	form	form	NOUN
ejpam-4460	57	12	:	:	PUNCT
ejpam-4460	57	13	θ(µ∗	θ(µ∗	NUM
ejpam-4460	57	14	)	)	PUNCT
ejpam-4460	57	15	=	=	SYM
ejpam-4460	57	16	θ(µi	θ(µi	PROPN
ejpam-4460	57	17	)	)	PUNCT
ejpam-4460	57	18	+	+	NUM
ejpam-4460	57	19	θ	θ	NOUN
ejpam-4460	57	20	′	′	NUM
ejpam-4460	57	21	(	(	PUNCT
ejpam-4460	57	22	µi)(µ	µi)(µ	NOUN
ejpam-4460	57	23	∗	∗	VERB
ejpam-4460	57	24	−	−	PROPN
ejpam-4460	57	25	µi	µi	PROPN
ejpam-4460	57	26	)	)	PUNCT
ejpam-4460	57	27	+	+	CCONJ
ejpam-4460	57	28	1	1	NUM
ejpam-4460	57	29	2	2	NUM
ejpam-4460	57	30	!	!	PUNCT
ejpam-4460	58	1	θ	θ	NOUN
ejpam-4460	58	2	′′	′′	PROPN
ejpam-4460	58	3	(	(	PUNCT
ejpam-4460	58	4	µi)(µ	µi)(µ	PROPN
ejpam-4460	58	5	∗	∗	VERB
ejpam-4460	58	6	−	−	PROPN
ejpam-4460	58	7	µi	µi	PROPN
ejpam-4460	58	8	)	)	PUNCT
ejpam-4460	58	9	2	2	NUM
ejpam-4460	58	10	+	+	CCONJ
ejpam-4460	58	11	1	1	NUM
ejpam-4460	58	12	3	3	NUM
ejpam-4460	58	13	!	!	PUNCT
ejpam-4460	59	1	θ	θ	PROPN
ejpam-4460	59	2	′′′	′′′	PROPN
ejpam-4460	59	3	(	(	PUNCT
ejpam-4460	59	4	c)(µ∗	c)(µ∗	PROPN
ejpam-4460	59	5	−	−	PROPN
ejpam-4460	59	6	µi	µi	PROPN
ejpam-4460	59	7	)	)	PUNCT
ejpam-4460	59	8	3	3	NUM
ejpam-4460	59	9	(	(	PUNCT
ejpam-4460	59	10	12	12	NUM
ejpam-4460	59	11	)	)	PUNCT
ejpam-4460	59	12	z.	z.	PROPN
ejpam-4460	59	13	f.	f.	PROPN
ejpam-4460	59	14	salih	salih	PROPN
ejpam-4460	59	15	,	,	PUNCT
ejpam-4460	59	16	b.	b.	PROPN
ejpam-4460	59	17	a.	a.	PROPN
ejpam-4460	59	18	hassan	hassan	PROPN
ejpam-4460	59	19	,	,	PUNCT
ejpam-4460	59	20	b.	b.	PROPN
ejpam-4460	59	21	m.	m.	PROPN
ejpam-4460	59	22	sulaiman	sulaiman	PROPN
ejpam-4460	59	23	/	/	SYM
ejpam-4460	59	24	eur	eur	PROPN
ejpam-4460	59	25	.	.	PUNCT
ejpam-4460	60	1	j.	j.	PROPN
ejpam-4460	60	2	pure	pure	PROPN
ejpam-4460	60	3	appl	appl	PROPN
ejpam-4460	60	4	.	.	PROPN
ejpam-4460	60	5	math	math	PROPN
ejpam-4460	60	6	,	,	PUNCT
ejpam-4460	60	7	15	15	NUM
ejpam-4460	60	8	(	(	PUNCT
ejpam-4460	60	9	3	3	NUM
ejpam-4460	60	10	)	)	PUNCT
ejpam-4460	60	11	(	(	PUNCT
ejpam-4460	60	12	2022	2022	NUM
ejpam-4460	60	13	)	)	PUNCT
ejpam-4460	60	14	,	,	PUNCT
ejpam-4460	60	15	1301	1301	NUM
ejpam-4460	60	16	-	-	SYM
ejpam-4460	60	17	1306	1306	NUM
ejpam-4460	60	18	1304	1304	NUM
ejpam-4460	60	19	for	for	ADP
ejpam-4460	60	20	some	some	DET
ejpam-4460	60	21	c	c	NOUN
ejpam-4460	60	22	between	between	ADP
ejpam-4460	60	23	µ∗	µ∗	PROPN
ejpam-4460	60	24	and	and	CCONJ
ejpam-4460	60	25	µi	µi	PROPN
ejpam-4460	60	26	,	,	PUNCT
ejpam-4460	60	27	and	and	CCONJ
ejpam-4460	60	28	because	because	SCONJ
ejpam-4460	60	29	the	the	DET
ejpam-4460	60	30	derivative	derivative	NOUN
ejpam-4460	60	31	of	of	ADP
ejpam-4460	60	32	the	the	DET
ejpam-4460	60	33	given	give	VERB
ejpam-4460	60	34	equation	equation	NOUN
ejpam-4460	60	35	is	be	AUX
ejpam-4460	60	36	zero	zero	NUM
ejpam-4460	60	37	,	,	PUNCT
ejpam-4460	60	38	we	we	PRON
ejpam-4460	60	39	get	get	VERB
ejpam-4460	60	40	:	:	PUNCT
ejpam-4460	60	41	−θ	−θ	ADJ
ejpam-4460	60	42	′	′	NUM
ejpam-4460	60	43	(	(	PUNCT
ejpam-4460	60	44	µi	µi	PROPN
ejpam-4460	60	45	)	)	PUNCT
ejpam-4460	60	46	=	=	PUNCT
ejpam-4460	60	47	−eiθ	−eiθ	NOUN
ejpam-4460	61	1	′′	′′	PROPN
ejpam-4460	61	2	(	(	PUNCT
ejpam-4460	61	3	µi	µi	PROPN
ejpam-4460	61	4	)	)	PUNCT
ejpam-4460	61	5	+	+	CCONJ
ejpam-4460	61	6	e2i	e2i	ADP
ejpam-4460	61	7	2	2	NUM
ejpam-4460	61	8	θ	θ	PROPN
ejpam-4460	61	9	′′′	′′′	PROPN
ejpam-4460	61	10	(	(	PUNCT
ejpam-4460	61	11	c	c	X
ejpam-4460	61	12	)	)	PUNCT
ejpam-4460	61	13	(	(	PUNCT
ejpam-4460	61	14	13	13	NUM
ejpam-4460	61	15	)	)	PUNCT
ejpam-4460	61	16	by	by	ADP
ejpam-4460	61	17	putting	put	VERB
ejpam-4460	61	18	eq	eq	NOUN
ejpam-4460	61	19	.	.	PUNCT
ejpam-4460	61	20	(	(	PUNCT
ejpam-4460	61	21	13	13	NUM
ejpam-4460	61	22	)	)	PUNCT
ejpam-4460	61	23	into	into	ADP
ejpam-4460	61	24	eq	eq	NOUN
ejpam-4460	61	25	.	.	PUNCT
ejpam-4460	61	26	(	(	PUNCT
ejpam-4460	61	27	11	11	NUM
ejpam-4460	61	28	)	)	PUNCT
ejpam-4460	61	29	,	,	PUNCT
ejpam-4460	61	30	we	we	PRON
ejpam-4460	61	31	can	can	AUX
ejpam-4460	61	32	get	get	VERB
ejpam-4460	61	33	the	the	DET
ejpam-4460	61	34	following	follow	VERB
ejpam-4460	61	35	conclusion	conclusion	NOUN
ejpam-4460	61	36	:	:	PUNCT
ejpam-4460	61	37	ei+1	ei+1	X
ejpam-4460	61	38	=	=	SYM
ejpam-4460	61	39	e2i	e2i	PUNCT
ejpam-4460	61	40	1	1	NUM
ejpam-4460	61	41	2	2	NUM
ejpam-4460	61	42	θ	θ	NOUN
ejpam-4460	61	43	′′′	′′′	VERB
ejpam-4460	62	1	(	(	PUNCT
ejpam-4460	62	2	c	c	NOUN
ejpam-4460	62	3	)	)	PUNCT
ejpam-4460	62	4	θ′′(µi	θ′′(µi	NOUN
ejpam-4460	62	5	)	)	PUNCT
ejpam-4460	62	6	(	(	PUNCT
ejpam-4460	62	7	14	14	NUM
ejpam-4460	62	8	)	)	PUNCT
ejpam-4460	62	9	this	this	PRON
ejpam-4460	62	10	indicates	indicate	VERB
ejpam-4460	62	11	that	that	SCONJ
ejpam-4460	62	12	the	the	DET
ejpam-4460	62	13	convergence	convergence	NOUN
ejpam-4460	62	14	order	order	NOUN
ejpam-4460	62	15	is	be	AUX
ejpam-4460	62	16	quadratic	quadratic	ADJ
ejpam-4460	62	17	.	.	PUNCT
ejpam-4460	63	1	4	4	X
ejpam-4460	63	2	.	.	X
ejpam-4460	63	3	application	application	NOUN
ejpam-4460	63	4	examples	example	NOUN
ejpam-4460	63	5	in	in	ADP
ejpam-4460	63	6	this	this	DET
ejpam-4460	63	7	study	study	NOUN
ejpam-4460	63	8	,	,	PUNCT
ejpam-4460	63	9	the	the	DET
ejpam-4460	63	10	offered	offer	VERB
ejpam-4460	63	11	methodologies	methodology	NOUN
ejpam-4460	63	12	will	will	AUX
ejpam-4460	63	13	be	be	AUX
ejpam-4460	63	14	utilized	utilize	VERB
ejpam-4460	63	15	to	to	PART
ejpam-4460	63	16	solve	solve	VERB
ejpam-4460	63	17	seven	seven	NUM
ejpam-4460	63	18	test	test	NOUN
ejpam-4460	63	19	functions	function	NOUN
ejpam-4460	63	20	.	.	PUNCT
ejpam-4460	64	1	the	the	DET
ejpam-4460	64	2	functions	function	NOUN
ejpam-4460	64	3	are	be	AUX
ejpam-4460	64	4	listed	list	VERB
ejpam-4460	64	5	in	in	ADP
ejpam-4460	64	6	the	the	DET
ejpam-4460	64	7	tables	table	NOUN
ejpam-4460	64	8	,	,	PUNCT
ejpam-4460	64	9	along	along	ADP
ejpam-4460	64	10	with	with	ADP
ejpam-4460	64	11	the	the	DET
ejpam-4460	64	12	minimum	minimum	ADJ
ejpam-4460	64	13	points	point	NOUN
ejpam-4460	64	14	(	(	PUNCT
ejpam-4460	64	15	µ∗	µ∗	PROPN
ejpam-4460	64	16	)	)	PUNCT
ejpam-4460	64	17	,	,	PUNCT
ejpam-4460	64	18	number	number	NOUN
ejpam-4460	64	19	of	of	ADP
ejpam-4460	64	20	iterations	iteration	NOUN
ejpam-4460	64	21	(	(	PUNCT
ejpam-4460	64	22	ni	ni	NOUN
ejpam-4460	64	23	)	)	PUNCT
ejpam-4460	64	24	,	,	PUNCT
ejpam-4460	64	25	and	and	CCONJ
ejpam-4460	64	26	execution	execution	NOUN
ejpam-4460	64	27	time	time	NOUN
ejpam-4460	64	28	(	(	PUNCT
ejpam-4460	64	29	t	t	NOUN
ejpam-4460	64	30	)	)	PUNCT
ejpam-4460	64	31	.	.	PUNCT
ejpam-4460	65	1	a	a	DET
ejpam-4460	65	2	comparison	comparison	NOUN
ejpam-4460	65	3	with	with	ADP
ejpam-4460	65	4	the	the	DET
ejpam-4460	65	5	newton	newton	PROPN
ejpam-4460	65	6	procedure	procedure	NOUN
ejpam-4460	65	7	(	(	PUNCT
ejpam-4460	65	8	nprocedure	nprocedure	NOUN
ejpam-4460	65	9	)	)	PUNCT
ejpam-4460	65	10	is	be	AUX
ejpam-4460	65	11	shown	show	VERB
ejpam-4460	65	12	to	to	PART
ejpam-4460	65	13	assess	assess	VERB
ejpam-4460	65	14	the	the	DET
ejpam-4460	65	15	new	new	ADJ
ejpam-4460	65	16	procedure	procedure	NOUN
ejpam-4460	65	17	performance	performance	NOUN
ejpam-4460	65	18	.	.	PUNCT
ejpam-4460	66	1	by	by	ADP
ejpam-4460	66	2	using	use	VERB
ejpam-4460	66	3	the	the	DET
ejpam-4460	66	4	matlab	matlab	PROPN
ejpam-4460	66	5	program	program	NOUN
ejpam-4460	66	6	,	,	PUNCT
ejpam-4460	66	7	the	the	DET
ejpam-4460	66	8	calculations	calculation	NOUN
ejpam-4460	66	9	have	have	AUX
ejpam-4460	66	10	been	be	AUX
ejpam-4460	66	11	performed	perform	VERB
ejpam-4460	66	12	with	with	ADP
ejpam-4460	66	13	double	double	ADJ
ejpam-4460	66	14	precision	precision	NOUN
ejpam-4460	66	15	.	.	PUNCT
ejpam-4460	67	1	if	if	SCONJ
ejpam-4460	67	2	|µi+1	|µi+1	VERB
ejpam-4460	67	3	−	−	PROPN
ejpam-4460	67	4	µi|	µi|	ADJ
ejpam-4460	67	5	≤	≤	NOUN
ejpam-4460	68	1	ϵ	ϵ	ADP
ejpam-4460	68	2	where	where	SCONJ
ejpam-4460	68	3	ϵ	ϵ	PROPN
ejpam-4460	68	4	=	=	SYM
ejpam-4460	68	5	10−10	10−10	PROPN
ejpam-4460	68	6	achieves	achieve	VERB
ejpam-4460	68	7	in	in	ADP
ejpam-4460	68	8	a	a	DET
ejpam-4460	68	9	numerical	numerical	ADJ
ejpam-4460	68	10	test	test	NOUN
ejpam-4460	68	11	,	,	PUNCT
ejpam-4460	68	12	the	the	DET
ejpam-4460	68	13	search	search	NOUN
ejpam-4460	68	14	is	be	AUX
ejpam-4460	68	15	stopped	stop	VERB
ejpam-4460	68	16	.	.	PUNCT
ejpam-4460	69	1	lastly	lastly	ADV
ejpam-4460	69	2	,	,	PUNCT
ejpam-4460	69	3	it	it	PRON
ejpam-4460	69	4	is	be	AUX
ejpam-4460	69	5	evident	evident	ADJ
ejpam-4460	69	6	that	that	SCONJ
ejpam-4460	69	7	the	the	DET
ejpam-4460	69	8	proposed	propose	VERB
ejpam-4460	69	9	approach	approach	NOUN
ejpam-4460	69	10	is	be	AUX
ejpam-4460	69	11	superior	superior	ADJ
ejpam-4460	69	12	to	to	ADP
ejpam-4460	69	13	the	the	DET
ejpam-4460	69	14	n	n	CCONJ
ejpam-4460	69	15	-	-	PUNCT
ejpam-4460	69	16	procedure	procedure	NOUN
ejpam-4460	69	17	for	for	ADP
ejpam-4460	69	18	all	all	DET
ejpam-4460	69	19	functions	function	NOUN
ejpam-4460	69	20	where	where	SCONJ
ejpam-4460	69	21	fewer	few	ADJ
ejpam-4460	69	22	iterations	iteration	NOUN
ejpam-4460	69	23	are	be	AUX
ejpam-4460	69	24	required	require	VERB
ejpam-4460	69	25	to	to	PART
ejpam-4460	69	26	get	get	VERB
ejpam-4460	69	27	the	the	DET
ejpam-4460	69	28	desired	desire	VERB
ejpam-4460	69	29	outcomes	outcome	NOUN
ejpam-4460	69	30	.	.	PUNCT
ejpam-4460	70	1	example	example	NOUN
ejpam-4460	70	2	1	1	NUM
ejpam-4460	70	3	.	.	X
ejpam-4460	70	4	function	function	NOUN
ejpam-4460	70	5	θ(µ	θ(µ	NOUN
ejpam-4460	70	6	)	)	PUNCT
ejpam-4460	70	7	=	=	SYM
ejpam-4460	70	8	cos(µ	cos(µ	PROPN
ejpam-4460	70	9	)	)	PUNCT
ejpam-4460	71	1	+	+	CCONJ
ejpam-4460	71	2	(	(	PUNCT
ejpam-4460	71	3	µ−	µ−	PROPN
ejpam-4460	71	4	2)2	2)2	NUM
ejpam-4460	71	5	,	,	PUNCT
ejpam-4460	71	6	with	with	ADP
ejpam-4460	71	7	µ0	µ0	NOUN
ejpam-4460	71	8	=	=	SYM
ejpam-4460	71	9	2	2	NUM
ejpam-4460	71	10	.	.	PUNCT
ejpam-4460	71	11	procedure	procedure	NOUN
ejpam-4460	71	12	(	(	PUNCT
ejpam-4460	71	13	ni	ni	NOUN
ejpam-4460	71	14	)	)	PUNCT
ejpam-4460	71	15	µi	µi	PROPN
ejpam-4460	71	16	(	(	PUNCT
ejpam-4460	71	17	t	t	NOUN
ejpam-4460	71	18	)	)	PUNCT
ejpam-4460	71	19	nprocedure	nprocedure	NOUN
ejpam-4460	71	20	4.0	4.0	NUM
ejpam-4460	71	21	2.3542	2.3542	NUM
ejpam-4460	71	22	0.5790	0.5790	NUM
ejpam-4460	71	23	new	new	ADJ
ejpam-4460	71	24	procedure	procedure	NOUN
ejpam-4460	71	25	4.0	4.0	NUM
ejpam-4460	71	26	2.4333	2.4333	NUM
ejpam-4460	71	27	0.0780	0.0780	NUM
ejpam-4460	71	28	example	example	NOUN
ejpam-4460	71	29	2	2	NUM
ejpam-4460	71	30	.	.	NOUN
ejpam-4460	71	31	function	function	NOUN
ejpam-4460	71	32	θ(µ	θ(µ	NOUN
ejpam-4460	71	33	)	)	PUNCT
ejpam-4460	71	34	=	=	VERB
ejpam-4460	72	1	eµ	eµ	ADP
ejpam-4460	72	2	−	−	PROPN
ejpam-4460	72	3	3µ2	3µ2	NUM
ejpam-4460	72	4	,	,	PUNCT
ejpam-4460	72	5	with	with	ADP
ejpam-4460	72	6	µ0	µ0	NOUN
ejpam-4460	72	7	=	=	NOUN
ejpam-4460	72	8	0.25	0.25	NUM
ejpam-4460	72	9	.	.	PUNCT
ejpam-4460	73	1	procedure	procedure	NOUN
ejpam-4460	73	2	(	(	PUNCT
ejpam-4460	73	3	ni	ni	NOUN
ejpam-4460	73	4	)	)	PUNCT
ejpam-4460	73	5	µi	µi	PROPN
ejpam-4460	73	6	(	(	PUNCT
ejpam-4460	73	7	t	t	NOUN
ejpam-4460	73	8	)	)	PUNCT
ejpam-4460	73	9	nprocedure	nprocedure	NOUN
ejpam-4460	73	10	4.0	4.0	NUM
ejpam-4460	73	11	0.2045	0.2045	NUM
ejpam-4460	73	12	0.2660	0.2660	NUM
ejpam-4460	73	13	new	new	ADJ
ejpam-4460	73	14	procedure	procedure	NOUN
ejpam-4460	73	15	3.0	3.0	NUM
ejpam-4460	73	16	0.2036	0.2036	NUM
ejpam-4460	73	17	0.0160	0.0160	NUM
ejpam-4460	73	18	example	example	NOUN
ejpam-4460	73	19	3	3	NUM
ejpam-4460	73	20	.	.	PUNCT
ejpam-4460	73	21	function	function	NOUN
ejpam-4460	73	22	θ(µ	θ(µ	NOUN
ejpam-4460	73	23	)	)	PUNCT
ejpam-4460	73	24	=	=	SYM
ejpam-4460	73	25	e−µ	e−µ	NOUN
ejpam-4460	73	26	+	+	CCONJ
ejpam-4460	73	27	µ2	µ2	PROPN
ejpam-4460	73	28	,	,	PUNCT
ejpam-4460	73	29	with	with	ADP
ejpam-4460	73	30	µ0	µ0	NOUN
ejpam-4460	73	31	=	=	SYM
ejpam-4460	73	32	1	1	NUM
ejpam-4460	73	33	.	.	PUNCT
ejpam-4460	73	34	procedure	procedure	NOUN
ejpam-4460	73	35	(	(	PUNCT
ejpam-4460	73	36	ni	ni	NOUN
ejpam-4460	73	37	)	)	PUNCT
ejpam-4460	73	38	µi	µi	PROPN
ejpam-4460	73	39	(	(	PUNCT
ejpam-4460	73	40	t	t	NOUN
ejpam-4460	73	41	)	)	PUNCT
ejpam-4460	73	42	nprocedure	nprocedure	NOUN
ejpam-4460	74	1	5.0	5.0	NUM
ejpam-4460	74	2	0.3517	0.3517	NUM
ejpam-4460	74	3	0.3130	0.3130	NUM
ejpam-4460	74	4	new	new	ADJ
ejpam-4460	74	5	procedure	procedure	NOUN
ejpam-4460	74	6	4.0	4.0	NUM
ejpam-4460	74	7	0.2025	0.2025	NUM
ejpam-4460	74	8	0.0780	0.0780	NUM
ejpam-4460	74	9	references	reference	NOUN
ejpam-4460	74	10	1305	1305	NUM
ejpam-4460	74	11	example	example	NOUN
ejpam-4460	74	12	4	4	NUM
ejpam-4460	74	13	.	.	PUNCT
ejpam-4460	74	14	function	function	NOUN
ejpam-4460	74	15	θ(µ	θ(µ	NOUN
ejpam-4460	74	16	)	)	PUNCT
ejpam-4460	75	1	=	=	SYM
ejpam-4460	75	2	−µe−µ	−µe−µ	NOUN
ejpam-4460	75	3	,	,	PUNCT
ejpam-4460	75	4	with	with	ADP
ejpam-4460	75	5	µ0	µ0	NOUN
ejpam-4460	75	6	=	=	SYM
ejpam-4460	75	7	0	0	NUM
ejpam-4460	75	8	.	.	PUNCT
ejpam-4460	75	9	procedure	procedure	NOUN
ejpam-4460	75	10	(	(	PUNCT
ejpam-4460	75	11	ni	ni	NOUN
ejpam-4460	75	12	)	)	PUNCT
ejpam-4460	75	13	µi	µi	PROPN
ejpam-4460	75	14	(	(	PUNCT
ejpam-4460	75	15	t	t	NOUN
ejpam-4460	75	16	)	)	PUNCT
ejpam-4460	75	17	nprocedure	nprocedure	NOUN
ejpam-4460	75	18	7.0	7.0	NUM
ejpam-4460	75	19	1	1	NUM
ejpam-4460	75	20	0.3900	0.3900	NUM
ejpam-4460	75	21	new	new	ADJ
ejpam-4460	75	22	procedure	procedure	NOUN
ejpam-4460	75	23	5.0	5.0	NUM
ejpam-4460	75	24	0.2535	0.2535	NUM
ejpam-4460	75	25	0.0790	0.0790	NUM
ejpam-4460	75	26	example	example	NOUN
ejpam-4460	75	27	5	5	NUM
ejpam-4460	75	28	.	.	PUNCT
ejpam-4460	75	29	function	function	NOUN
ejpam-4460	75	30	θ(µ	θ(µ	NOUN
ejpam-4460	75	31	)	)	PUNCT
ejpam-4460	76	1	=	=	SYM
ejpam-4460	76	2	0.65−	0.65−	NOUN
ejpam-4460	76	3	0.75/(1	0.75/(1	NOUN
ejpam-4460	77	1	+	+	CCONJ
ejpam-4460	77	2	µ2)−	µ2)−	VERB
ejpam-4460	77	3	0.65µ	0.65µ	NUM
ejpam-4460	77	4	tan−1(1/µ	tan−1(1/µ	NOUN
ejpam-4460	77	5	)	)	PUNCT
ejpam-4460	77	6	,	,	PUNCT
ejpam-4460	77	7	with	with	ADP
ejpam-4460	77	8	µ0	µ0	NOUN
ejpam-4460	77	9	=	=	SYM
ejpam-4460	77	10	0.1	0.1	NUM
ejpam-4460	77	11	.	.	PUNCT
ejpam-4460	78	1	procedure	procedure	NOUN
ejpam-4460	78	2	(	(	PUNCT
ejpam-4460	78	3	ni	ni	NOUN
ejpam-4460	78	4	)	)	PUNCT
ejpam-4460	78	5	µi	µi	PROPN
ejpam-4460	78	6	(	(	PUNCT
ejpam-4460	78	7	t	t	NOUN
ejpam-4460	78	8	)	)	PUNCT
ejpam-4460	78	9	nprocedure	nprocedure	NOUN
ejpam-4460	78	10	6.0	6.0	NUM
ejpam-4460	78	11	0.4809	0.4809	NUM
ejpam-4460	78	12	0.7970	0.7970	NUM
ejpam-4460	78	13	new	new	ADJ
ejpam-4460	78	14	procedure	procedure	NOUN
ejpam-4460	78	15	5.0	5.0	NUM
ejpam-4460	78	16	0.2901	0.2901	NUM
ejpam-4460	78	17	0.0620	0.0620	NUM
ejpam-4460	78	18	example	example	NOUN
ejpam-4460	78	19	6	6	NUM
ejpam-4460	78	20	.	.	PUNCT
ejpam-4460	78	21	function	function	NOUN
ejpam-4460	78	22	θ(µ	θ(µ	NOUN
ejpam-4460	78	23	)	)	PUNCT
ejpam-4460	79	1	=	=	SYM
ejpam-4460	79	2	0.5µ2	0.5µ2	NUM
ejpam-4460	80	1	−	−	PROPN
ejpam-4460	80	2	sin(µ	sin(µ	PROPN
ejpam-4460	80	3	)	)	PUNCT
ejpam-4460	80	4	,	,	PUNCT
ejpam-4460	80	5	with	with	ADP
ejpam-4460	80	6	µ0	µ0	NOUN
ejpam-4460	80	7	=	=	SYM
ejpam-4460	80	8	2	2	NUM
ejpam-4460	80	9	.	.	PUNCT
ejpam-4460	80	10	procedure	procedure	NOUN
ejpam-4460	80	11	(	(	PUNCT
ejpam-4460	80	12	ni	ni	NOUN
ejpam-4460	80	13	)	)	PUNCT
ejpam-4460	80	14	µi	µi	PROPN
ejpam-4460	80	15	(	(	PUNCT
ejpam-4460	80	16	t	t	NOUN
ejpam-4460	80	17	)	)	PUNCT
ejpam-4460	80	18	nprocedure	nprocedure	NOUN
ejpam-4460	80	19	5.0	5.0	NUM
ejpam-4460	80	20	0.7391	0.7391	NUM
ejpam-4460	80	21	0.4210	0.4210	NUM
ejpam-4460	80	22	new	new	ADJ
ejpam-4460	80	23	procedure	procedure	NOUN
ejpam-4460	80	24	3.0	3.0	NUM
ejpam-4460	80	25	0.7262	0.7262	NUM
ejpam-4460	81	1	0.0630	0.0630	NUM
ejpam-4460	81	2	example	example	NOUN
ejpam-4460	81	3	7	7	NUM
ejpam-4460	81	4	.	.	PUNCT
ejpam-4460	81	5	function	function	NOUN
ejpam-4460	81	6	θ(µ	θ(µ	NOUN
ejpam-4460	81	7	)	)	PUNCT
ejpam-4460	81	8	=	=	SYM
ejpam-4460	81	9	µ4	µ4	PROPN
ejpam-4460	81	10	+	+	CCONJ
ejpam-4460	82	1	2µ2	2µ2	NUM
ejpam-4460	82	2	−	−	NOUN
ejpam-4460	82	3	µ−	µ−	PROPN
ejpam-4460	82	4	3	3	NUM
ejpam-4460	82	5	,	,	PUNCT
ejpam-4460	82	6	with	with	ADP
ejpam-4460	82	7	µ0	µ0	NOUN
ejpam-4460	82	8	=	=	SYM
ejpam-4460	82	9	1	1	NUM
ejpam-4460	82	10	.	.	PUNCT
ejpam-4460	82	11	procedure	procedure	NOUN
ejpam-4460	82	12	(	(	PUNCT
ejpam-4460	82	13	ni	ni	NOUN
ejpam-4460	82	14	)	)	PUNCT
ejpam-4460	82	15	µi	µi	PROPN
ejpam-4460	82	16	(	(	PUNCT
ejpam-4460	82	17	t	t	NOUN
ejpam-4460	82	18	)	)	PUNCT
ejpam-4460	82	19	nprocedure	nprocedure	NOUN
ejpam-4460	82	20	7.0	7.0	NUM
ejpam-4460	82	21	0.2367	0.2367	NUM
ejpam-4460	82	22	0.6870	0.6870	NUM
ejpam-4460	82	23	new	new	ADJ
ejpam-4460	82	24	procedure	procedure	NOUN
ejpam-4460	82	25	5.0	5.0	NUM
ejpam-4460	82	26	0.7624	0.7624	NUM
ejpam-4460	82	27	0.0780	0.0780	NUM
ejpam-4460	82	28	5	5	NUM
ejpam-4460	82	29	.	.	PUNCT
ejpam-4460	82	30	conclusion	conclusion	NOUN
ejpam-4460	82	31	this	this	DET
ejpam-4460	82	32	research	research	NOUN
ejpam-4460	82	33	aims	aim	VERB
ejpam-4460	82	34	to	to	PART
ejpam-4460	82	35	develop	develop	VERB
ejpam-4460	82	36	a	a	DET
ejpam-4460	82	37	new	new	ADJ
ejpam-4460	82	38	determined	determined	ADJ
ejpam-4460	82	39	second	second	ADJ
ejpam-4460	82	40	derivative	derivative	NOUN
ejpam-4460	82	41	using	use	VERB
ejpam-4460	82	42	a	a	DET
ejpam-4460	82	43	second	second	ADJ
ejpam-4460	82	44	-	-	PUNCT
ejpam-4460	82	45	order	order	NOUN
ejpam-4460	82	46	taylor	taylor	NOUN
ejpam-4460	82	47	expansion	expansion	NOUN
ejpam-4460	82	48	and	and	CCONJ
ejpam-4460	82	49	a	a	DET
ejpam-4460	82	50	new	new	ADJ
ejpam-4460	82	51	secant	secant	ADJ
ejpam-4460	82	52	equation	equation	NOUN
ejpam-4460	82	53	.	.	PUNCT
ejpam-4460	83	1	therefore	therefore	ADV
ejpam-4460	83	2	,	,	PUNCT
ejpam-4460	83	3	it	it	PRON
ejpam-4460	83	4	is	be	AUX
ejpam-4460	83	5	acceptable	acceptable	ADJ
ejpam-4460	83	6	to	to	PART
ejpam-4460	83	7	assume	assume	VERB
ejpam-4460	83	8	that	that	SCONJ
ejpam-4460	83	9	the	the	DET
ejpam-4460	83	10	new	new	ADJ
ejpam-4460	83	11	secant	secant	ADJ
ejpam-4460	83	12	type	type	NOUN
ejpam-4460	83	13	technique	technique	NOUN
ejpam-4460	83	14	is	be	AUX
ejpam-4460	83	15	more	more	ADV
ejpam-4460	83	16	efficient	efficient	ADJ
ejpam-4460	83	17	than	than	ADP
ejpam-4460	83	18	the	the	DET
ejpam-4460	83	19	newton	newton	PROPN
ejpam-4460	83	20	method	method	NOUN
ejpam-4460	83	21	.	.	PUNCT
ejpam-4460	84	1	some	some	DET
ejpam-4460	84	2	strategies	strategy	NOUN
ejpam-4460	84	3	may	may	AUX
ejpam-4460	84	4	not	not	PART
ejpam-4460	84	5	always	always	ADV
ejpam-4460	84	6	converge	converge	VERB
ejpam-4460	84	7	to	to	ADP
ejpam-4460	84	8	the	the	DET
ejpam-4460	84	9	global	global	ADJ
ejpam-4460	84	10	minimum	minimum	NOUN
ejpam-4460	84	11	,	,	PUNCT
ejpam-4460	84	12	which	which	PRON
ejpam-4460	84	13	happens	happen	VERB
ejpam-4460	84	14	when	when	SCONJ
ejpam-4460	84	15	they	they	PRON
ejpam-4460	84	16	fail	fail	VERB
ejpam-4460	84	17	to	to	PART
ejpam-4460	84	18	converge	converge	VERB
ejpam-4460	84	19	to	to	ADP
ejpam-4460	84	20	the	the	DET
ejpam-4460	84	21	minimum	minimum	NOUN
ejpam-4460	84	22	in	in	ADP
ejpam-4460	84	23	some	some	DET
ejpam-4460	84	24	circumstances	circumstance	NOUN
ejpam-4460	84	25	.	.	PUNCT
ejpam-4460	85	1	references	reference	NOUN
ejpam-4460	85	2	[	[	X
ejpam-4460	85	3	1	1	NUM
ejpam-4460	85	4	]	]	PUNCT
ejpam-4460	85	5	auwal	auwal	PROPN
ejpam-4460	85	6	bala	bala	PROPN
ejpam-4460	85	7	abubakar	abubakar	PROPN
ejpam-4460	85	8	,	,	PUNCT
ejpam-4460	85	9	maulana	maulana	PROPN
ejpam-4460	85	10	malik	malik	PROPN
ejpam-4460	85	11	,	,	PUNCT
ejpam-4460	85	12	poom	poom	NOUN
ejpam-4460	85	13	kumam	kumam	NOUN
ejpam-4460	85	14	,	,	PUNCT
ejpam-4460	85	15	hassan	hassan	PROPN
ejpam-4460	85	16	mohammad	mohammad	PROPN
ejpam-4460	85	17	,	,	PUNCT
ejpam-4460	85	18	min	min	PROPN
ejpam-4460	85	19	sun	sun	PROPN
ejpam-4460	85	20	,	,	PUNCT
ejpam-4460	85	21	abdulkarim	abdulkarim	NOUN
ejpam-4460	85	22	hassan	hassan	PROPN
ejpam-4460	85	23	ibrahim	ibrahim	PROPN
ejpam-4460	85	24	,	,	PUNCT
ejpam-4460	85	25	and	and	CCONJ
ejpam-4460	85	26	aliyu	aliyu	NOUN
ejpam-4460	85	27	ibrahim	ibrahim	PROPN
ejpam-4460	85	28	kiri	kiri	PROPN
ejpam-4460	85	29	.	.	PUNCT
ejpam-4460	86	1	a	a	DET
ejpam-4460	86	2	liu	liu	PROPN
ejpam-4460	86	3	-	-	PUNCT
ejpam-4460	86	4	storey	storey	NOUN
ejpam-4460	86	5	-	-	PUNCT
ejpam-4460	86	6	type	type	NOUN
ejpam-4460	86	7	conjugate	conjugate	ADJ
ejpam-4460	86	8	gradient	gradient	NOUN
ejpam-4460	86	9	method	method	NOUN
ejpam-4460	86	10	for	for	ADP
ejpam-4460	86	11	unconstrained	unconstrained	ADJ
ejpam-4460	86	12	minimization	minimization	NOUN
ejpam-4460	86	13	problem	problem	NOUN
ejpam-4460	86	14	with	with	ADP
ejpam-4460	86	15	application	application	NOUN
ejpam-4460	86	16	in	in	ADP
ejpam-4460	86	17	motion	motion	NOUN
ejpam-4460	86	18	control	control	NOUN
ejpam-4460	86	19	.	.	PUNCT
ejpam-4460	87	1	journal	journal	PROPN
ejpam-4460	87	2	of	of	ADP
ejpam-4460	87	3	king	king	PROPN
ejpam-4460	87	4	saud	saud	PROPN
ejpam-4460	87	5	university	university	PROPN
ejpam-4460	87	6	-	-	PUNCT
ejpam-4460	87	7	science	science	NOUN
ejpam-4460	87	8	,	,	PUNCT
ejpam-4460	87	9	34(4):101923	34(4):101923	NUM
ejpam-4460	87	10	,	,	PUNCT
ejpam-4460	87	11	2022	2022	NUM
ejpam-4460	87	12	.	.	PUNCT
ejpam-4460	88	1	[	[	X
ejpam-4460	88	2	2	2	NUM
ejpam-4460	88	3	]	]	X
ejpam-4460	88	4	c	c	PROPN
ejpam-4460	88	5	edwin	edwin	PROPN
ejpam-4460	88	6	and	and	CCONJ
ejpam-4460	88	7	z	z	PROPN
ejpam-4460	88	8	stanislaw	stanislaw	NOUN
ejpam-4460	88	9	.	.	PUNCT
ejpam-4460	89	1	an	an	DET
ejpam-4460	89	2	introduction	introduction	NOUN
ejpam-4460	89	3	to	to	ADP
ejpam-4460	89	4	optimization	optimization	NOUN
ejpam-4460	89	5	.	.	PUNCT
ejpam-4460	90	1	john	john	PROPN
ejpam-4460	90	2	wiley	wiley	PROPN
ejpam-4460	90	3	&	&	CCONJ
ejpam-4460	90	4	sons	son	NOUN
ejpam-4460	90	5	,	,	PUNCT
ejpam-4460	90	6	2004	2004	NUM
ejpam-4460	90	7	.	.	PUNCT
ejpam-4460	91	1	references	reference	NOUN
ejpam-4460	91	2	1306	1306	NUM
ejpam-4460	92	1	[	[	X
ejpam-4460	92	2	3	3	X
ejpam-4460	92	3	]	]	PUNCT
ejpam-4460	92	4	marco	marco	PROPN
ejpam-4460	92	5	frontini	frontini	PROPN
ejpam-4460	92	6	and	and	CCONJ
ejpam-4460	92	7	e	e	PROPN
ejpam-4460	92	8	sormani	sormani	PROPN
ejpam-4460	92	9	.	.	PUNCT
ejpam-4460	93	1	modified	modified	PROPN
ejpam-4460	93	2	newton	newton	PROPN
ejpam-4460	93	3	’s	’s	PART
ejpam-4460	93	4	method	method	NOUN
ejpam-4460	93	5	with	with	ADP
ejpam-4460	93	6	third	third	ADJ
ejpam-4460	93	7	-	-	PUNCT
ejpam-4460	93	8	order	order	NOUN
ejpam-4460	93	9	convergence	convergence	NOUN
ejpam-4460	93	10	and	and	CCONJ
ejpam-4460	93	11	multiple	multiple	ADJ
ejpam-4460	93	12	roots	root	NOUN
ejpam-4460	93	13	.	.	PUNCT
ejpam-4460	94	1	journal	journal	NOUN
ejpam-4460	94	2	of	of	ADP
ejpam-4460	94	3	computational	computational	ADJ
ejpam-4460	94	4	and	and	CCONJ
ejpam-4460	94	5	applied	applied	ADJ
ejpam-4460	94	6	mathematics	mathematic	NOUN
ejpam-4460	94	7	,	,	PUNCT
ejpam-4460	94	8	156(2):345–354	156(2):345–354	PROPN
ejpam-4460	94	9	,	,	PUNCT
ejpam-4460	94	10	2003	2003	NUM
ejpam-4460	94	11	.	.	PUNCT
ejpam-4460	95	1	[	[	X
ejpam-4460	95	2	4	4	X
ejpam-4460	95	3	]	]	PUNCT
ejpam-4460	95	4	marco	marco	PROPN
ejpam-4460	95	5	frontini	frontini	PROPN
ejpam-4460	95	6	and	and	CCONJ
ejpam-4460	95	7	e	e	PROPN
ejpam-4460	95	8	sormani	sormani	NOUN
ejpam-4460	95	9	.	.	PUNCT
ejpam-4460	96	1	some	some	DET
ejpam-4460	96	2	variant	variant	NOUN
ejpam-4460	96	3	of	of	ADP
ejpam-4460	96	4	newton	newton	PROPN
ejpam-4460	96	5	’s	’s	PART
ejpam-4460	96	6	method	method	NOUN
ejpam-4460	96	7	with	with	ADP
ejpam-4460	96	8	third	third	ADJ
ejpam-4460	96	9	-	-	PUNCT
ejpam-4460	96	10	order	order	NOUN
ejpam-4460	96	11	convergence	convergence	NOUN
ejpam-4460	96	12	.	.	PUNCT
ejpam-4460	97	1	applied	apply	VERB
ejpam-4460	97	2	mathematics	mathematic	NOUN
ejpam-4460	97	3	and	and	CCONJ
ejpam-4460	97	4	computation	computation	NOUN
ejpam-4460	97	5	,	,	PUNCT
ejpam-4460	97	6	140(2	140(2	NUM
ejpam-4460	97	7	-	-	SYM
ejpam-4460	97	8	3):419–426	3):419–426	NUM
ejpam-4460	97	9	,	,	PUNCT
ejpam-4460	97	10	2003	2003	NUM
ejpam-4460	97	11	.	.	PUNCT
ejpam-4460	98	1	[	[	X
ejpam-4460	98	2	5	5	X
ejpam-4460	98	3	]	]	PUNCT
ejpam-4460	98	4	herbert	herbert	PROPN
ejpam-4460	98	5	hh	hh	PROPN
ejpam-4460	98	6	homeier	homeier	PROPN
ejpam-4460	98	7	.	.	PUNCT
ejpam-4460	99	1	a	a	DET
ejpam-4460	99	2	modified	modify	VERB
ejpam-4460	99	3	newton	newton	PROPN
ejpam-4460	99	4	method	method	NOUN
ejpam-4460	99	5	with	with	ADP
ejpam-4460	99	6	cubic	cubic	ADJ
ejpam-4460	99	7	convergence	convergence	NOUN
ejpam-4460	99	8	:	:	PUNCT
ejpam-4460	99	9	the	the	DET
ejpam-4460	99	10	multivariate	multivariate	NOUN
ejpam-4460	99	11	case	case	NOUN
ejpam-4460	99	12	.	.	PUNCT
ejpam-4460	100	1	journal	journal	NOUN
ejpam-4460	100	2	of	of	ADP
ejpam-4460	100	3	computational	computational	ADJ
ejpam-4460	100	4	and	and	CCONJ
ejpam-4460	100	5	applied	applied	ADJ
ejpam-4460	100	6	mathematics	mathematic	NOUN
ejpam-4460	100	7	,	,	PUNCT
ejpam-4460	100	8	169(1):161–169	169(1):161–169	PROPN
ejpam-4460	100	9	,	,	PUNCT
ejpam-4460	100	10	2004	2004	NUM
ejpam-4460	100	11	.	.	PUNCT
ejpam-4460	101	1	[	[	X
ejpam-4460	101	2	6	6	NUM
ejpam-4460	101	3	]	]	PUNCT
ejpam-4460	101	4	herbert	herbert	PROPN
ejpam-4460	101	5	hh	hh	PROPN
ejpam-4460	101	6	homeier	homeier	PROPN
ejpam-4460	101	7	.	.	PUNCT
ejpam-4460	102	1	on	on	ADP
ejpam-4460	102	2	newton	newton	PROPN
ejpam-4460	102	3	-	-	PUNCT
ejpam-4460	102	4	type	type	NOUN
ejpam-4460	102	5	methods	method	NOUN
ejpam-4460	102	6	with	with	ADP
ejpam-4460	102	7	cubic	cubic	ADJ
ejpam-4460	102	8	convergence	convergence	NOUN
ejpam-4460	102	9	.	.	PUNCT
ejpam-4460	103	1	journal	journal	NOUN
ejpam-4460	103	2	of	of	ADP
ejpam-4460	103	3	computational	computational	ADJ
ejpam-4460	103	4	and	and	CCONJ
ejpam-4460	103	5	applied	applied	ADJ
ejpam-4460	103	6	mathematics	mathematic	NOUN
ejpam-4460	103	7	,	,	PUNCT
ejpam-4460	103	8	176(2):425–432	176(2):425–432	NUM
ejpam-4460	103	9	,	,	PUNCT
ejpam-4460	103	10	2005	2005	NUM
ejpam-4460	103	11	.	.	PUNCT
ejpam-4460	104	1	[	[	X
ejpam-4460	104	2	7	7	X
ejpam-4460	104	3	]	]	X
ejpam-4460	104	4	emin	emin	PROPN
ejpam-4460	104	5	kahya	kahya	PROPN
ejpam-4460	104	6	.	.	PUNCT
ejpam-4460	105	1	modified	modify	VERB
ejpam-4460	105	2	secant	secant	ADJ
ejpam-4460	105	3	-	-	PUNCT
ejpam-4460	105	4	type	type	NOUN
ejpam-4460	105	5	methods	method	NOUN
ejpam-4460	105	6	for	for	ADP
ejpam-4460	105	7	unconstrained	unconstrained	ADJ
ejpam-4460	105	8	optimization	optimization	NOUN
ejpam-4460	105	9	.	.	PUNCT
ejpam-4460	106	1	applied	apply	VERB
ejpam-4460	106	2	mathematics	mathematic	NOUN
ejpam-4460	106	3	and	and	CCONJ
ejpam-4460	106	4	computation	computation	NOUN
ejpam-4460	106	5	,	,	PUNCT
ejpam-4460	106	6	181(2):1349–1356	181(2):1349–1356	PROPN
ejpam-4460	106	7	,	,	PUNCT
ejpam-4460	106	8	2006	2006	NUM
ejpam-4460	106	9	.	.	PUNCT
ejpam-4460	107	1	[	[	X
ejpam-4460	107	2	8	8	NUM
ejpam-4460	107	3	]	]	X
ejpam-4460	107	4	emin	emin	PROPN
ejpam-4460	107	5	kahya	kahya	PROPN
ejpam-4460	107	6	and	and	CCONJ
ejpam-4460	107	7	jinhai	jinhai	PROPN
ejpam-4460	107	8	chen	chen	PROPN
ejpam-4460	107	9	.	.	PUNCT
ejpam-4460	108	1	a	a	DET
ejpam-4460	108	2	modified	modify	VERB
ejpam-4460	108	3	secant	secant	ADJ
ejpam-4460	108	4	method	method	NOUN
ejpam-4460	108	5	for	for	ADP
ejpam-4460	108	6	unconstrained	unconstrained	ADJ
ejpam-4460	108	7	optimization	optimization	NOUN
ejpam-4460	108	8	.	.	PUNCT
ejpam-4460	109	1	applied	apply	VERB
ejpam-4460	109	2	mathematics	mathematic	NOUN
ejpam-4460	109	3	and	and	CCONJ
ejpam-4460	109	4	computation	computation	NOUN
ejpam-4460	109	5	,	,	PUNCT
ejpam-4460	109	6	186(2):1000–1004	186(2):1000–1004	PROPN
ejpam-4460	109	7	,	,	PUNCT
ejpam-4460	109	8	2007	2007	NUM
ejpam-4460	109	9	.	.	PUNCT
ejpam-4460	110	1	[	[	X
ejpam-4460	110	2	9	9	NUM
ejpam-4460	110	3	]	]	X
ejpam-4460	110	4	issam	issam	PROPN
ejpam-4460	110	5	ar	ar	PROPN
ejpam-4460	110	6	moghrabi	moghrabi	PROPN
ejpam-4460	110	7	.	.	PUNCT
ejpam-4460	111	1	a	a	DET
ejpam-4460	111	2	non	non	ADJ
ejpam-4460	111	3	-	-	ADJ
ejpam-4460	111	4	secant	secant	ADJ
ejpam-4460	111	5	quasi	quasi	PROPN
ejpam-4460	111	6	-	-	PROPN
ejpam-4460	111	7	newton	newton	PROPN
ejpam-4460	111	8	method	method	NOUN
ejpam-4460	111	9	for	for	ADP
ejpam-4460	111	10	unconstrained	unconstrained	ADJ
ejpam-4460	111	11	nonlinear	nonlinear	ADJ
ejpam-4460	111	12	optimization	optimization	NOUN
ejpam-4460	111	13	.	.	PUNCT
ejpam-4460	112	1	cogent	cogent	NOUN
ejpam-4460	112	2	engineering	engineering	NOUN
ejpam-4460	112	3	,	,	PUNCT
ejpam-4460	112	4	9(1):2018929	9(1):2018929	NOUN
ejpam-4460	112	5	,	,	PUNCT
ejpam-4460	112	6	2022	2022	NUM
ejpam-4460	112	7	.	.	PUNCT
ejpam-4460	113	1	[	[	X
ejpam-4460	113	2	10	10	NUM
ejpam-4460	113	3	]	]	X
ejpam-4460	113	4	ahmet	ahmet	PROPN
ejpam-4460	113	5	yasar	yasar	PROPN
ejpam-4460	113	6	özban	özban	PROPN
ejpam-4460	113	7	.	.	PUNCT
ejpam-4460	114	1	some	some	DET
ejpam-4460	114	2	new	new	ADJ
ejpam-4460	114	3	variants	variant	NOUN
ejpam-4460	114	4	of	of	ADP
ejpam-4460	114	5	newton	newton	PROPN
ejpam-4460	114	6	’s	’s	PART
ejpam-4460	114	7	method	method	NOUN
ejpam-4460	114	8	.	.	PUNCT
ejpam-4460	115	1	applied	apply	VERB
ejpam-4460	115	2	mathematics	mathematics	NOUN
ejpam-4460	115	3	letters	letter	NOUN
ejpam-4460	115	4	,	,	PUNCT
ejpam-4460	115	5	17(6):677–682	17(6):677–682	NOUN
ejpam-4460	115	6	,	,	PUNCT
ejpam-4460	115	7	2004	2004	NUM
ejpam-4460	115	8	.	.	PUNCT
ejpam-4460	116	1	[	[	X
ejpam-4460	116	2	11	11	NUM
ejpam-4460	116	3	]	]	X
ejpam-4460	116	4	singiresu	singiresu	NOUN
ejpam-4460	116	5	s	s	PART
ejpam-4460	116	6	rao	rao	PROPN
ejpam-4460	116	7	.	.	PUNCT
ejpam-4460	117	1	engineering	engineering	NOUN
ejpam-4460	117	2	optimization	optimization	NOUN
ejpam-4460	117	3	:	:	PUNCT
ejpam-4460	117	4	theory	theory	NOUN
ejpam-4460	117	5	and	and	CCONJ
ejpam-4460	117	6	practice	practice	NOUN
ejpam-4460	117	7	.	.	PUNCT
ejpam-4460	118	1	john	john	PROPN
ejpam-4460	118	2	wiley	wiley	PROPN
ejpam-4460	118	3	&	&	CCONJ
ejpam-4460	118	4	sons	son	NOUN
ejpam-4460	118	5	,	,	PUNCT
ejpam-4460	118	6	2019	2019	NUM
ejpam-4460	118	7	.	.	PUNCT
ejpam-4460	119	1	[	[	X
ejpam-4460	119	2	12	12	NUM
ejpam-4460	119	3	]	]	X
ejpam-4460	119	4	ronald	ronald	PROPN
ejpam-4460	119	5	l	l	PROPN
ejpam-4460	119	6	rardin	rardin	NOUN
ejpam-4460	119	7	.	.	PUNCT
ejpam-4460	120	1	optimization	optimization	NOUN
ejpam-4460	120	2	in	in	ADP
ejpam-4460	120	3	operations	operation	NOUN
ejpam-4460	120	4	research	research	NOUN
ejpam-4460	120	5	,	,	PUNCT
ejpam-4460	120	6	volume	volume	NOUN
ejpam-4460	120	7	166	166	NUM
ejpam-4460	120	8	.	.	PUNCT
ejpam-4460	121	1	prentice	prentice	PROPN
ejpam-4460	121	2	hall	hall	PROPN
ejpam-4460	121	3	upper	upper	PROPN
ejpam-4460	121	4	saddle	saddle	PROPN
ejpam-4460	121	5	river	river	PROPN
ejpam-4460	121	6	,	,	PUNCT
ejpam-4460	121	7	nj	nj	PROPN
ejpam-4460	121	8	,	,	PUNCT
ejpam-4460	121	9	1998	1998	NUM
ejpam-4460	121	10	.	.	PUNCT
ejpam-4460	122	1	[	[	X
ejpam-4460	122	2	13	13	NUM
ejpam-4460	122	3	]	]	X
ejpam-4460	122	4	ekhlass	ekhlass	PROPN
ejpam-4460	122	5	s	s	PROPN
ejpam-4460	122	6	al	al	PROPN
ejpam-4460	122	7	-	-	PUNCT
ejpam-4460	122	8	rawi	rawi	PROPN
ejpam-4460	122	9	.	.	PUNCT
ejpam-4460	123	1	a	a	DET
ejpam-4460	123	2	numerical	numerical	ADJ
ejpam-4460	123	3	method	method	NOUN
ejpam-4460	123	4	for	for	ADP
ejpam-4460	123	5	accelerating	accelerate	VERB
ejpam-4460	123	6	the	the	DET
ejpam-4460	123	7	convergence	convergence	NOUN
ejpam-4460	123	8	of	of	ADP
ejpam-4460	123	9	the	the	DET
ejpam-4460	123	10	power	power	NOUN
ejpam-4460	123	11	method	method	NOUN
ejpam-4460	123	12	.	.	PUNCT
ejpam-4460	124	1	journal	journal	NOUN
ejpam-4460	124	2	of	of	ADP
ejpam-4460	124	3	education	education	NOUN
ejpam-4460	124	4	and	and	CCONJ
ejpam-4460	124	5	science	science	NOUN
ejpam-4460	124	6	,	,	PUNCT
ejpam-4460	124	7	22(2):132–146	22(2):132–146	PROPN
ejpam-4460	124	8	,	,	PUNCT
ejpam-4460	124	9	2009	2009	NUM
ejpam-4460	124	10	.	.	PUNCT
ejpam-4460	125	1	[	[	X
ejpam-4460	125	2	14	14	NUM
ejpam-4460	125	3	]	]	X
ejpam-4460	125	4	s.	s.	PROPN
ejpam-4460	125	5	weerakoon	weerakoon	PROPN
ejpam-4460	125	6	and	and	CCONJ
ejpam-4460	125	7	t.g.i	t.g.i	PROPN
ejpam-4460	125	8	.	.	PUNCT
ejpam-4460	126	1	fernando	fernando	PROPN
ejpam-4460	126	2	.	.	PUNCT
ejpam-4460	127	1	a	a	DET
ejpam-4460	127	2	variant	variant	NOUN
ejpam-4460	127	3	of	of	ADP
ejpam-4460	127	4	newton	newton	PROPN
ejpam-4460	127	5	’s	’s	PART
ejpam-4460	127	6	method	method	NOUN
ejpam-4460	127	7	with	with	ADP
ejpam-4460	127	8	accelerated	accelerate	VERB
ejpam-4460	127	9	third	third	ADJ
ejpam-4460	127	10	-	-	PUNCT
ejpam-4460	127	11	order	order	NOUN
ejpam-4460	127	12	convergence	convergence	NOUN
ejpam-4460	127	13	.	.	PUNCT
ejpam-4460	128	1	applied	apply	VERB
ejpam-4460	128	2	mathematics	mathematics	NOUN
ejpam-4460	128	3	letters	letter	NOUN
ejpam-4460	128	4	,	,	PUNCT
ejpam-4460	128	5	13(8):87–93	13(8):87–93	NUM
ejpam-4460	128	6	,	,	PUNCT
ejpam-4460	128	7	2000	2000	NUM
ejpam-4460	128	8	.	.	PUNCT
ejpam-4460	129	1	[	[	X
ejpam-4460	129	2	15	15	NUM
ejpam-4460	129	3	]	]	X
ejpam-4460	129	4	ya	ya	PROPN
ejpam-4460	129	5	-	-	PUNCT
ejpam-4460	129	6	xiang	xiang	PROPN
ejpam-4460	129	7	yuan	yuan	PROPN
ejpam-4460	129	8	.	.	PUNCT
ejpam-4460	130	1	a	a	DET
ejpam-4460	130	2	modified	modify	VERB
ejpam-4460	130	3	bfgs	bfgs	ADJ
ejpam-4460	130	4	algorithm	algorithm	NOUN
ejpam-4460	130	5	for	for	ADP
ejpam-4460	130	6	unconstrained	unconstrained	ADJ
ejpam-4460	130	7	optimization	optimization	NOUN
ejpam-4460	130	8	.	.	PUNCT
ejpam-4460	131	1	i	i	PRON
ejpam-4460	131	2	m	m	VERB
ejpam-4460	131	3	a	a	DET
ejpam-4460	131	4	journal	journal	NOUN
ejpam-4460	131	5	of	of	ADP
ejpam-4460	131	6	numerical	numerical	ADJ
ejpam-4460	131	7	analysis	analysis	NOUN
ejpam-4460	131	8	,	,	PUNCT
ejpam-4460	131	9	11(3):325–332	11(3):325–332	NUM
ejpam-4460	131	10	,	,	PUNCT
ejpam-4460	131	11	1991	1991	NUM
ejpam-4460	131	12	.	.	PUNCT