id	sid	eid	entity	type
ma-294	1	1	2025	CARDINAL
ma-294	2	1	j. math	PERSON
ma-294	4	1	5 (	CARDINAL
ma-294	4	2	9doi	CARDINAL
ma-294	4	3	10.28924	CARDINAL
ma-294	4	4	gauss-seidel	PERSON
ma-294	4	5	newton	ORG
ma-294	4	6	nguyen dinh dung tnu-university of	PERSON
ma-294	4	7	thai	NORP
ma-294	4	8	vietnam	GPE
ma-294	8	1	one	CARDINAL
ma-294	9	1	second	ORDINAL
ma-294	9	2	taylor	PERSON
ma-294	10	1	first	ORDINAL
ma-294	10	2	second	ORDINAL
ma-294	10	3	newton	GPE
ma-294	12	1	newton	GPE
ma-294	12	2	quasi-newton	ORG
ma-294	14	1	1	CARDINAL
ma-294	14	2	1	CARDINAL
ma-294	14	3	second	ORDINAL
ma-294	14	4	1	CARDINAL
ma-294	15	1	solvingproblem	PERSON
ma-294	15	2	1	CARDINAL
ma-294	15	3	1	CARDINAL
ma-294	15	4	1][4	CARDINAL
ma-294	15	5	5][6	CARDINAL
ma-294	18	1	27	CARDINAL
ma-294	18	2	oct 2024	DATE
ma-294	20	1	newton	GPE
ma-294	21	1	j. math	PERSON
ma-294	23	1	10.28924	CARDINAL
ma-294	23	2	2of	CARDINAL
ma-294	23	3	linear	ORG
ma-294	24	1	one	CARDINAL
ma-294	24	2	2	CARDINAL
ma-294	24	3	8	CARDINAL
ma-294	25	1	− αk∇f	PERSON
ma-294	25	2	0	CARDINAL
ma-294	25	3	linear convergencerate	ORG
ma-294	26	1	newton	GPE
ma-294	26	2	newton	ORG
ma-294	26	3	isaac newton	PERSON
ma-294	26	4	1964	DATE
ma-294	27	1	newton	ORG
ma-294	28	1	newton	ORG
ma-294	28	2	newton	GPE
ma-294	28	3	dennis	PERSON
ma-294	29	1	13	CARDINAL
ma-294	30	1	14	CARDINAL
ma-294	30	2	ortega	PERSON
ma-294	30	3	rheinboldt	GPE
ma-294	31	1	15	CARDINAL
ma-294	31	2	16	CARDINAL
ma-294	31	3	fillion	PRODUCT
ma-294	32	1	17	CARDINAL
ma-294	32	2	newton	ORG
ma-294	32	3	18	CARDINAL
ma-294	33	1	1)starts	CARDINAL
ma-294	33	2	x(k	PERSON
ma-294	34	1	2	CARDINAL
ma-294	34	2	dk	PERSON
ma-294	35	1	2	CARDINAL
ma-294	36	1	19	CARDINAL
ma-294	37	1	taylor	PERSON
ma-294	38	1	x(k	PERSON
ma-294	40	1	newton	GPE
ma-294	40	2	20	CARDINAL
ma-294	40	3	newton	ORG
ma-294	41	1	x(k	PERSON
ma-294	43	1	x(k	PERSON
ma-294	44	1	x(k	PERSON
ma-294	44	2	one	CARDINAL
ma-294	45	1	x(k	PERSON
ma-294	46	1	second	ORDINAL
ma-294	46	2	newton	ORG
ma-294	47	1	21	CARDINAL
ma-294	47	2	22	CARDINAL
ma-294	47	3	newton	ORG
ma-294	47	4	jacobi	PERSON
ma-294	47	5	gauss-seidel	PERSON
ma-294	47	6	quansi-newton	ORG
ma-294	48	1	newton	GPE
ma-294	48	2	quasi-newton	ORG
ma-294	49	1	j. math	PERSON
ma-294	51	1	10.28924	CARDINAL
ma-294	53	1	thepaper	ORG
ma-294	54	1	section 2	LAW
ma-294	54	2	newton	ORG
ma-294	54	3	newton	GPE
ma-294	54	4	quasi-newton	PERSON
ma-294	55	1	section 3	DATE
ma-294	57	1	2	CARDINAL
ma-294	57	2	2.1	CARDINAL
ma-294	58	1	newton	ORG
ma-294	58	2	0	CARDINAL
ma-294	58	3	taylor	PERSON
ma-294	58	4	x(k	PERSON
ma-294	59	1	x(k	PERSON
ma-294	60	1	x(k))2jk	PRODUCT
ma-294	60	2	3	CARDINAL
ma-294	60	3	∂f∂x1	ORG
ma-294	60	4	∂x2∂x1	PRODUCT
ma-294	60	5	∂x2∂xn	PERSON
ma-294	60	6	∂xn∂x1	ORG
ma-294	60	7	∂xn∂x2	PERSON
ma-294	60	8	∂x2n 	PERSON
ma-294	61	1	2	CARDINAL
ma-294	61	2	k))jk	GPE
ma-294	62	1	4	CARDINAL
ma-294	64	1	x(k	PERSON
ma-294	65	1	1	CARDINAL
ma-294	65	2	2	DATE
ma-294	65	3	3	DATE
ma-294	65	4	5	CARDINAL
ma-294	65	5	4	CARDINAL
ma-294	65	6	newton	ORG
ma-294	65	7	second	ORDINAL
ma-294	66	1	1	CARDINAL
ma-294	68	1	x(k	PERSON
ma-294	68	2	k=k+1	PERSON
ma-294	68	3	x(k	PERSON
ma-294	69	1	j. math	PERSON
ma-294	71	1	10.28924	CARDINAL
ma-294	71	2	4	CARDINAL
ma-294	72	1	j =	PERSON
ma-294	72	2	+ 1	DATE
ma-294	72	3	5	CARDINAL
ma-294	74	1	6	CARDINAL
ma-294	79	1	2	CARDINAL
ma-294	79	2	newton	ORG
ma-294	79	3	2	CARDINAL
ma-294	80	1	k=1	PERSON
ma-294	80	2	n=length(x(0	ORG
ma-294	80	3	0	CARDINAL
ma-294	80	4	1	CARDINAL
ma-294	81	1	1	CARDINAL
ma-294	92	1	k=k+1	PERSON
ma-294	92	2	second	ORDINAL
ma-294	93	1	2.2	CARDINAL
ma-294	94	1	22	CARDINAL
ma-294	94	2	5	CARDINAL
ma-294	96	1	j. math	PERSON
ma-294	98	1	10.28924	CARDINAL
ma-294	98	2	3	CARDINAL
ma-294	99	1	x(k	PERSON
ma-294	102	1	7	CARDINAL
ma-294	104	1	22	CARDINAL
ma-294	105	1	x(k	PERSON
ma-294	105	2	x(k	PERSON
ma-294	107	1	3	CARDINAL
ma-294	107	2	3	CARDINAL
ma-294	107	3	1	CARDINAL
ma-294	107	4	0	CARDINAL
ma-294	109	1	t k ∇f	FAC
ma-294	110	1	1	CARDINAL
ma-294	111	1	13	CARDINAL
ma-294	112	1	7	CARDINAL
ma-294	112	2	23	CARDINAL
ma-294	114	1	− x(k−1	ORG
ma-294	115	1	9	CARDINAL
ma-294	116	1	− x(k	PERSON
ma-294	116	2	10	CARDINAL
ma-294	116	3	= gk	PERSON
ma-294	116	4	11	CARDINAL
ma-294	116	5	gk =	PERSON
ma-294	116	6	11	CARDINAL
ma-294	117	1	12	CARDINAL
ma-294	117	2	+ czzt	PERSON
ma-294	118	1	13	CARDINAL
ma-294	119	1	j. math	PERSON
ma-294	121	1	10.28924	CARDINAL
ma-294	121	2	6	CARDINAL
ma-294	121	3	11	CARDINAL
ma-294	121	4	+ czzt	PERSON
ma-294	122	1	dk = gk .	PERSON
ma-294	123	1	dk zt	PERSON
ma-294	123	2	dk	PERSON
ma-294	125	1	gk −	PERSON
ma-294	125	2	gk − bkdk)t	PERSON
ma-294	125	3	gk − bkdk)t dk	PERSON
ma-294	126	1	14	CARDINAL
ma-294	127	1	dk = bkgk + c1z1(zt1 gk	PERSON
ma-294	128	1	15	CARDINAL
ma-294	128	2	+ gkgtk	PERSON
ma-294	129	1	bkdk)t dtk	ORG
ma-294	129	2	15	CARDINAL
ma-294	129	3	1	CARDINAL
ma-294	129	4	4	CARDINAL
ma-294	132	1	k),sk	ORG
ma-294	133	1	x(k	PERSON
ma-294	135	1	gk =	PERSON
ma-294	135	2	14	CARDINAL
ma-294	135	3	15	CARDINAL
ma-294	135	4	k=k+1	PERSON
ma-294	136	1	15	CARDINAL
ma-294	139	1	x(k	PERSON
ma-294	140	1	1	CARDINAL
ma-294	142	1	3	CARDINAL
ma-294	144	1	16	CARDINAL
ma-294	145	1	j. math	PERSON
ma-294	147	1	10.28924	CARDINAL
ma-294	148	1	0	CARDINAL
ma-294	148	2	0	DATE
ma-294	149	1	1)is	LAW
ma-294	149	2	1	CARDINAL
ma-294	149	3	2	DATE
ma-294	149	4	10	CARDINAL
ma-294	150	1	0	CARDINAL
ma-294	151	1	16	CARDINAL
ma-294	151	2	newton	ORG
ma-294	151	3	1	CARDINAL
ma-294	152	1	1	CARDINAL
ma-294	152	2	1	CARDINAL
ma-294	152	3	1	CARDINAL
ma-294	152	4	2 x(k	PERSON
ma-294	153	1	5	CARDINAL
ma-294	153	2	10	CARDINAL
ma-294	153	3	15	CARDINAL
ma-294	153	4	20 x	QUANTITY
ma-294	153	5	1 0.8025	CARDINAL
ma-294	153	6	2	CARDINAL
ma-294	153	7	3	CARDINAL
ma-294	153	8	2.4074	ORG
ma-294	153	9	2.9986	PRODUCT
ma-294	153	10	3.8960	ORG
ma-294	153	11	3.9982	PRODUCT
ma-294	153	12	5	CARDINAL
ma-294	153	13	4.9977 x	QUANTITY
ma-294	153	14	6	CARDINAL
ma-294	153	15	9	CARDINAL
ma-294	153	16	10	CARDINAL
ma-294	153	17	3.8758 0.5104	MONEY
ma-294	153	18	1	CARDINAL
ma-294	154	1	1	CARDINAL
ma-294	154	2	figure2	PERSON
ma-294	155	1	1	CARDINAL
ma-294	155	2	k=1,2	ORG
ma-294	157	1	20	CARDINAL
ma-294	157	2	2	CARDINAL
ma-294	158	1	j. math	PERSON
ma-294	160	1	10.28924	CARDINAL
ma-294	160	2	8	CARDINAL
ma-294	160	3	2	CARDINAL
ma-294	160	4	k=1,2	ORG
ma-294	161	1	20	CARDINAL
ma-294	161	2	1	CARDINAL
ma-294	161	3	2	CARDINAL
ma-294	161	4	1	CARDINAL
ma-294	163	1		CARDINAL
ma-294	164	1	1i	CARDINAL
ma-294	164	2	4	CARDINAL
ma-294	165	1	1i	CARDINAL
ma-294	166	1	1i	CARDINAL
ma-294	166	2	17	CARDINAL
ma-294	166	3	second	ORDINAL
ma-294	166	4	1	CARDINAL
ma-294	166	5	12	DATE
ma-294	166	6	110	CARDINAL
ma-294	166	7	1	CARDINAL
ma-294	166	8	16	CARDINAL
ma-294	166	9	4	CARDINAL
ma-294	167	1	15	CARDINAL
ma-294	168	1	2	CARDINAL
ma-294	168	2	2	CARDINAL
ma-294	168	3	1	CARDINAL
ma-294	168	4	4 x(k	PERSON
ma-294	169	1	5	CARDINAL
ma-294	169	2	10	CARDINAL
ma-294	169	3	15	CARDINAL
ma-294	169	4	20 x	QUANTITY
ma-294	169	5	3	CARDINAL
ma-294	169	6	0.3548	PRODUCT
ma-294	169	7	5	CARDINAL
ma-294	169	8	0.0987	ORG
ma-294	169	9	6 0.0672	QUANTITY
ma-294	169	10	0.1600	MONEY
ma-294	169	11	0.0471	ORG
ma-294	169	12	9	CARDINAL
ma-294	169	13	10	CARDINAL
ma-294	169	14	0.0508	CARDINAL
ma-294	169	15	0.6032 0.1680 0.0722	MONEY
ma-294	170	1	j. math	PERSON
ma-294	172	1	10.28924	CARDINAL
ma-294	172	2	2	CARDINAL
ma-294	173	1	quasi-newton	ORG
ma-294	173	2	newton	GPE
ma-294	175	1	3	CARDINAL
ma-294	175	2	4	CARDINAL
ma-294	176	1	3	CARDINAL
ma-294	176	2	k=1,2	ORG
ma-294	178	1	20	CARDINAL
ma-294	178	2	4	CARDINAL
ma-294	178	3	4	CARDINAL
ma-294	178	4	k=1,2	ORG
ma-294	179	1	20	CARDINAL
ma-294	179	2	4	CARDINAL
ma-294	180	1	j. math	PERSON
ma-294	182	1	10.28924	CARDINAL
ma-294	182	2	104	CARDINAL
ma-294	183	1	newton	GPE
ma-294	183	2	quasi-newton	PERSON
ma-294	184	1	2014	DATE
ma-294	185	1	1	CARDINAL
ma-294	185	2	s. aji	PERSON
ma-294	185	3	p. kumam	PERSON
ma-294	185	4	m.m. yahaya	GPE
ma-294	185	5	w. kumam	PERSON
ma-294	185	6	two	CARDINAL
ma-294	185	7	9	CARDINAL
ma-294	185	8	2021	CARDINAL
ma-294	185	9	30918–30928	DATE
ma-294	186	1	y. zhou	PERSON
ma-294	186	2	y. wu	PERSON
ma-294	186	3	x. li	PERSON
ma-294	187	1	probl	ORG
ma-294	188	1	eng	PERSON
ma-294	188	2	2020	DATE
ma-294	188	3	2020) 6391321	DATE
ma-294	189	1	6391321.[3	CARDINAL
ma-294	189	2	m. eshaghnezhad	PERSON
ma-294	189	3	s. effati	PERSON
ma-294	189	4	a. mansoori	PERSON
ma-294	191	1	47	CARDINAL
ma-294	191	2	2017	CARDINAL
ma-294	193	1	s. crisci	PERSON
ma-294	193	2	m. piana	PERSON
ma-294	193	3	ruggiero	PERSON
ma-294	193	4	m. scussolini	PERSON
ma-294	193	5	siam j.	ORG
ma-294	193	6	sci	ORG
ma-294	193	7	14 (2021	CARDINAL
ma-294	193	8	418–439	CARDINAL
ma-294	195	1	liu	PERSON
ma-294	195	2	x.l. du	PERSON
ma-294	195	3	m. scussolini	PERSON
ma-294	197	1	97	CARDINAL
ma-294	197	2	2018	DATE
ma-294	197	3	2122–2131	CARDINAL
ma-294	198	1	l. wang	PERSON
ma-294	198	2	p. kumam	PERSON
ma-294	198	3	h. mohammad	PERSON
ma-294	198	4	w.	PERSON
ma-294	201	1	25	CARDINAL
ma-294	201	2	2020	DATE
ma-294	201	3	27	CARDINAL
ma-294	201	4	j. marecek	PERSON
ma-294	201	5	m. mevissen	PERSON
ma-294	201	6	31	CARDINAL
ma-294	201	7	2016	CARDINAL
ma-294	201	8	539–546	CARDINAL
ma-294	204	1	2	CARDINAL
ma-294	204	2	1944)258–261	CARDINAL
ma-294	205	1	d. kovalev	PERSON
ma-294	205	2	k. mishchenko	PERSON
ma-294	205	3	newton	ORG
ma-294	205	4	cubic newton	PERSON
ma-294	205	5	arxiv	ORG
ma-294	205	6	2019	DATE
ma-294	206	1	r. weerakoon	PERSON
ma-294	207	1	fernando	PERSON
ma-294	207	2	newton	GPE
ma-294	208	1	lett	PERSON
ma-294	209	1	13 (2000	DATE
ma-294	210	1	https://doi.org/10.1016/s0893-9659(00)00112-1.[11] a. forsgren	PERSON
ma-294	210	2	p.e. gill	GPE
ma-294	210	3	m.h. wright	GPE
ma-294	210	4	siam rev	ORG
ma-294	210	5	44 (2002	DATE
ma-294	210	6	525–597	CARDINAL
ma-294	211	1	r. fletcher	PERSON
ma-294	211	2	second	ORDINAL
ma-294	211	3	john wiley	PERSON
ma-294	211	4	chichester	GPE
ma-294	211	5	2000	DATE
ma-294	211	6	40	CARDINAL
ma-294	211	7	dennis jr.	PERSON
ma-294	211	8	siam	GPE
ma-294	211	9	philadelphia	GPE
ma-294	211	10	1996	DATE
ma-294	213	1	1960).[15	CARDINAL
ma-294	213	2	j.m. ortega	PERSON
ma-294	213	3	w.c.	PERSON
ma-294	213	4	rheinboldt	GPE
ma-294	213	5	1970	DATE
ma-294	215	1	https://doi.org/10.1155/2020/6391321 https://doi.org/10.1155/2020/6391321 https://doi.org/10.1109/tcyb.2016.2611529 https://doi.org/10.1109/tcyb.2016.2611529 https://doi.org/10.1137/20m1336370	PERSON
ma-294	215	2	https://doi.org/10.1016/s0893-9659(00)00112-1	TIME
ma-294	216	1	https://doi.org/10.1137/s0036144502414942	DATE
ma-294	217	1	j. math	PERSON
ma-294	219	1	10.28924	CARDINAL
ma-294	219	2	11	CARDINAL
ma-294	219	3	16	CARDINAL
ma-294	219	4	newton	ORG
ma-294	219	5	affine invariance	ORG
ma-294	219	6	2nd	ORDINAL
ma-294	219	7	berlin	GPE
ma-294	219	8	2011	DATE
ma-294	220	1	https://doi.org/10.1007/978-3-642-23899-4.[17	ORG
ma-294	220	2	r.m. corless	ORG
ma-294	220	3	n. fillion	PERSON
ma-294	220	4	new york	GPE
ma-294	220	5	2013	DATE
ma-294	221	1	https://doi.org/10.1007/978-1-4614-8453-0.[18	ORG
ma-294	222	1	polyak	GPE
ma-294	222	2	newton	GPE
ma-294	223	1	j. oper.	PERSON
ma-294	225	1	181	CARDINAL
ma-294	225	2	2007	DATE
ma-294	225	3	1086–1096	CARDINAL
ma-294	226	1	https	PERSON
ma-294	226	2	//doi.org/10.1016	PERSON
ma-294	227	1	3 (1948) 89–185	DATE
ma-294	227	2	https	PERSON
ma-294	228	1	r.k. vasudeva	PERSON
ma-294	228	2	non-linear	ORG
ma-294	229	1	j.	PERSON
ma-294	230	1	sci	ORG
ma-294	231	1	10 (2021	CARDINAL
ma-294	232	1	11-21.[21	CARDINAL
ma-294	232	2	i. povalej	PERSON
ma-294	232	3	j. comput	PERSON
ma-294	234	1	255	CARDINAL
ma-294	234	2	2014	DATE
ma-294	235	1	765–777	DATE
ma-294	237	1	r.k. vasudeva	PERSON
ma-294	237	2	non-linear	ORG
ma-294	238	1	j.	PERSON
ma-294	239	1	sci	ORG
ma-294	239	2	13 (	CARDINAL
ma-294	239	3	2021	CARDINAL
ma-294	239	4	s. lu	PERSON
ma-294	239	5	z. wei	PERSON
ma-294	239	6	j. softw	PERSON
ma-294	240	1	eng	PERSON
ma-294	241	1	3 (2010)503–509	CARDINAL
ma-294	244	1	2	CARDINAL
ma-294	244	2	2.1	CARDINAL
ma-294	245	1	newton	ORG
ma-294	245	2	2.2	CARDINAL
ma-294	246	1	3	CARDINAL
ma-294	246	2	4	CARDINAL