id	sid	eid	entity	type
ejpam-4746	1	1	european journal	ORG
ejpam-4746	2	1	16	CARDINAL
ejpam-4746	2	2	2	CARDINAL
ejpam-4746	2	3	2023	CARDINAL
ejpam-4746	2	4	1059-1067	CARDINAL
ejpam-4746	2	5	1307-5543	CARDINAL
ejpam-4746	2	6	new york	GPE
ejpam-4746	3	1	dai-yuan	ORG
ejpam-4746	3	2	a. laylani1	PERSON
ejpam-4746	3	3	hisham m. khudhur2,∗	PERSON
ejpam-4746	3	4	edrees m. nori2	PERSON
ejpam-4746	3	5	khalil k.	PERSON
ejpam-4746	5	1	university of kirkuk	ORG
ejpam-4746	5	2	kirkuk	GPE
ejpam-4746	5	3	iraq	GPE
ejpam-4746	5	4	2	CARDINAL
ejpam-4746	5	5	university of mosul	ORG
ejpam-4746	5	6	mosul	GPE
ejpam-4746	5	7	iraq	GPE
ejpam-4746	5	8	3	CARDINAL
ejpam-4746	5	9	university of telafer	ORG
ejpam-4746	5	10	iraq	GPE
ejpam-4746	10	1	the dai-yuan	ORG
ejpam-4746	13	1	2020	DATE
ejpam-4746	13	2	90c30	TIME
ejpam-4746	13	3	65k05	DATE
ejpam-4746	13	4	49m37	CARDINAL
ejpam-4746	13	5	1	CARDINAL
ejpam-4746	14	1	1	CARDINAL
ejpam-4746	15	1	6	CARDINAL
ejpam-4746	17	1	2	CARDINAL
ejpam-4746	18	1	yuksel@uokirkuk.edu.iq	PERSON
ejpam-4746	18	2	a. laylani	PERSON
ejpam-4746	18	3	h. m. khudhur	PERSON
ejpam-4746	18	4	e. m. nori	PERSON
ejpam-4746	18	5	k. k. abbo	PERSON
ejpam-4746	18	6	1059	CARDINAL
ejpam-4746	19	1	2023	CARDINAL
ejpam-4746	20	1	h. m. khudhur et al	PERSON
ejpam-4746	21	1	j. pure	PERSON
ejpam-4746	21	2	16	CARDINAL
ejpam-4746	21	3	2	CARDINAL
ejpam-4746	21	4	2023	CARDINAL
ejpam-4746	21	5	1059-1067 1060	CARDINAL
ejpam-4746	22	1	∈	ORG
ejpam-4746	23	1	16	CARDINAL
ejpam-4746	23	2	19	CARDINAL
ejpam-4746	24	1	3	CARDINAL
ejpam-4746	24	2	4	CARDINAL
ejpam-4746	24	3	1	CARDINAL
ejpam-4746	25	1	5)∣∣gtk+1dk	CARDINAL
ejpam-4746	25	2	6	CARDINAL
ejpam-4746	25	3	7	CARDINAL
ejpam-4746	25	4	3	CARDINAL
ejpam-4746	25	5	11	DATE
ejpam-4746	25	6	13	DATE
ejpam-4746	25	7	17	DATE
ejpam-4746	25	8	18	DATE
ejpam-4746	25	9	20	DATE
ejpam-4746	25	10	23	CARDINAL
ejpam-4746	27	1	gtk gk	PERSON
ejpam-4746	35	1	gtk gk	PERSON
ejpam-4746	37	1	gk fr	PERSON
ejpam-4746	37	2	fletcher	PERSON
ejpam-4746	37	3	10	CARDINAL
ejpam-4746	37	4	13	CARDINAL
ejpam-4746	38	1	19	CARDINAL
ejpam-4746	38	2	dai	ORG
ejpam-4746	39	1	8	CARDINAL
ejpam-4746	39	2	liu	PERSON
ejpam-4746	40	1	one	CARDINAL
ejpam-4746	40	2	9	CARDINAL
ejpam-4746	42	1	section 2	LAW
ejpam-4746	44	1	section 4	LAW
ejpam-4746	45	1	2	CARDINAL
ejpam-4746	45	2	∥gk+1∥2	PRODUCT
ejpam-4746	46	1	hs	PERSON
ejpam-4746	49	1	1−	ORDINAL
ejpam-4746	49	2	hs k +	PERSON
ejpam-4746	49	3	m. khudhur et al	PERSON
ejpam-4746	50	1	j. pure	PERSON
ejpam-4746	50	2	16	CARDINAL
ejpam-4746	50	3	2	CARDINAL
ejpam-4746	50	4	2023	CARDINAL
ejpam-4746	50	5	1059-1067 1061	QUANTITY
ejpam-4746	50	6	dai-liao	ORG
ejpam-4746	50	7	stk	NORP
ejpam-4746	50	8	2	CARDINAL
ejpam-4746	50	9	2	CARDINAL
ejpam-4746	51	1	9	CARDINAL
ejpam-4746	51	2	stk	NORP
ejpam-4746	51	3	3	CARDINAL
ejpam-4746	51	4	2	CARDINAL
ejpam-4746	51	5	9	CARDINAL
ejpam-4746	51	6	0	CARDINAL
ejpam-4746	52	1	8)	CARDINAL
ejpam-4746	54	1	10	CARDINAL
ejpam-4746	54	2	8)(hkye	CARDINAL
ejpam-4746	55	1	2.1	CARDINAL
ejpam-4746	56	1	1	CARDINAL
ejpam-4746	57	1	0	CARDINAL
ejpam-4746	58	1	2	CARDINAL
ejpam-4746	60	1	step3	GPE
ejpam-4746	61	1	3	CARDINAL
ejpam-4746	62	1	6	CARDINAL
ejpam-4746	62	2	4	CARDINAL
ejpam-4746	65	1	∥gk+1∥2	PRODUCT
ejpam-4746	65	2	step5	ORG
ejpam-4746	65	3	5	CARDINAL
ejpam-4746	67	1	1or	CARDINAL
ejpam-4746	67	2	1− θβhs k	TIME
ejpam-4746	67	3	2.2	CARDINAL
ejpam-4746	69	1	1	CARDINAL
ejpam-4746	71	1	9	CARDINAL
ejpam-4746	72	1	gtk+1gk	ORG
ejpam-4746	72	2	σ	CARDINAL
ejpam-4746	79	1	k = k	PERSON
ejpam-4746	80	1	1	CARDINAL
ejpam-4746	80	2	0	CARDINAL
ejpam-4746	80	3	stk	NORP
ejpam-4746	80	4	3	CARDINAL
ejpam-4746	82	1	1	CARDINAL
ejpam-4746	82	2	1− θk	TIME
ejpam-4746	82	3	h. m.	PERSON
ejpam-4746	84	1	j. pure	PERSON
ejpam-4746	84	2	16	CARDINAL
ejpam-4746	84	3	2	CARDINAL
ejpam-4746	84	4	2023	CARDINAL
ejpam-4746	84	5	1059-1067 1062	CARDINAL
ejpam-4746	85	1	1− θk	TIME
ejpam-4746	86	1	1− θk	TIME
ejpam-4746	86	2	1	CARDINAL
ejpam-4746	87	1	gtk+1sk	NORP
ejpam-4746	87	2	4	CARDINAL
ejpam-4746	90	1	1− θk	TIME
ejpam-4746	90	2	1	CARDINAL
ejpam-4746	90	3	1− θk	TIME
ejpam-4746	90	4	1	CARDINAL
ejpam-4746	90	5	1− θk	TIME
ejpam-4746	90	6	1	CARDINAL
ejpam-4746	92	1	1− θk)	TIME
ejpam-4746	92	2	1− σ	PRODUCT
ejpam-4746	94	1	1−	ORDINAL
ejpam-4746	94	2	1− σ	PRODUCT
ejpam-4746	95	1	1−	TIME
ejpam-4746	95	2	1− σ	PRODUCT
ejpam-4746	95	3	∥gk+1∥2	PRODUCT
ejpam-4746	95	4	1−	MONEY
ejpam-4746	95	5	1−σ	CARDINAL
ejpam-4746	97	1	1	CARDINAL
ejpam-4746	98	1	f(x	ORG
ejpam-4746	99	1	2	CARDINAL
ejpam-4746	99	2	0	CARDINAL
ejpam-4746	100	1	∀x	GPE
ejpam-4746	100	2	y ∈ n	ORG
ejpam-4746	100	3	∥gk∥ ≤ γ	LAW
ejpam-4746	100	4	ω	ORG
ejpam-4746	100	5	∀x	ORG
ejpam-4746	100	6	1	CARDINAL
ejpam-4746	101	1	1	CARDINAL
ejpam-4746	101	2	2	DATE
ejpam-4746	101	3	12	DATE
ejpam-4746	101	4	14	DATE
ejpam-4746	101	5	15	CARDINAL
ejpam-4746	101	6	gk	PERSON
ejpam-4746	103	1	xk+1 l	ORG
ejpam-4746	104	1	wolfe	PERSON
ejpam-4746	105	1	h. m. khudhur et al	PERSON
ejpam-4746	106	1	j. pure	PERSON
ejpam-4746	106	2	16	CARDINAL
ejpam-4746	106	3	2	CARDINAL
ejpam-4746	106	4	2023	CARDINAL
ejpam-4746	106	5	1059-1067 1063	QUANTITY
ejpam-4746	106	6	2	CARDINAL
ejpam-4746	107	1	4	CARDINAL
ejpam-4746	107	2	5	DATE
ejpam-4746	107	3	8	DATE
ejpam-4746	107	4	15	DATE
ejpam-4746	107	5	21	DATE
ejpam-4746	107	6	22	CARDINAL
ejpam-4746	109	1	∞∑ k=1	PERSON
ejpam-4746	109	2	2 ∥dk∥2	QUANTITY
ejpam-4746	110	1	12	CARDINAL
ejpam-4746	110	2	2	CARDINAL
ejpam-4746	110	3	2.3	CARDINAL
ejpam-4746	112	1	lim inf	PERSON
ejpam-4746	113	1	2.3	CARDINAL
ejpam-4746	114	1	0	CARDINAL
ejpam-4746	114	2	∈ ω	ORG
ejpam-4746	114	3	2.1	CARDINAL
ejpam-4746	115	1	1−σ	CARDINAL
ejpam-4746	115	2	2 ∥dk∥2	QUANTITY
ejpam-4746	115	3	13	CARDINAL
ejpam-4746	115	4	2.1	CARDINAL
ejpam-4746	116	1	2	CARDINAL
ejpam-4746	116	2	14	CARDINAL
ejpam-4746	116	3	yk =	ORG
ejpam-4746	118	1	− gk	PERSON
ejpam-4746	118	2	15	CARDINAL
ejpam-4746	119	1	∣∣(1− θk)β	ORG
ejpam-4746	119	2	hs k +	PERSON
ejpam-4746	119	3	t k yk ∣∣∣∣ytk sk∣∣ + ∣∣αkg t k+1gk+1	PERSON
ejpam-4746	120	1	∥gk∥ ≤ αkγlr	ORG
ejpam-4746	121	1	2	CARDINAL
ejpam-4746	121	2	σ)µ2 = v therefor	PERSON
ejpam-4746	121	3	∥gk+1∥+	PERSON
ejpam-4746	121	4	∥gk+1∥+	PERSON
ejpam-4746	121	5	16	CARDINAL
ejpam-4746	121	6	1	CARDINAL
ejpam-4746	121	7	17	CARDINAL
ejpam-4746	121	8	h. m.	PERSON
ejpam-4746	123	1	j. pure	PERSON
ejpam-4746	123	2	16	CARDINAL
ejpam-4746	123	3	2	CARDINAL
ejpam-4746	123	4	2023	CARDINAL
ejpam-4746	123	5	1059-1067 1064	QUANTITY
ejpam-4746	123	6	2.1	CARDINAL
ejpam-4746	124	1	eq(13	ORG
ejpam-4746	124	2	1 ∥dk∥ ≤ ∑	QUANTITY
ejpam-4746	125	1	2 ∥dk∥2	QUANTITY
ejpam-4746	126	1	17	CARDINAL
ejpam-4746	126	2	13	CARDINAL
ejpam-4746	128	1	3	CARDINAL
ejpam-4746	128	2	400	CARDINAL
ejpam-4746	129	1	6	CARDINAL
ejpam-4746	130	1	40	CARDINAL
ejpam-4746	131	1	ten	CARDINAL
ejpam-4746	131	2	n=100,200	DATE
ejpam-4746	133	1	1000	CARDINAL
ejpam-4746	134	1	23	CARDINAL
ejpam-4746	135	1	the strong wolfe line	ORG
ejpam-4746	135	2	0.0001andσ	CARDINAL
ejpam-4746	135	3	0.4	CARDINAL
ejpam-4746	138	1	falg1	PERSON
ejpam-4746	138	2	faig2	ORG
ejpam-4746	138	3	alg1 andalg2	ORG
ejpam-4746	140	1	alg1	ORG
ejpam-4746	140	2	alg1	ORG
ejpam-4746	141	1	faig2	ORG
ejpam-4746	142	1	10−3	CARDINAL
ejpam-4746	142	2	alg1	ORG
ejpam-4746	143	1	hs	PERSON
ejpam-4746	143	2	2	CARDINAL
ejpam-4746	143	3	3	CARDINAL
ejpam-4746	147	1	h. m. khudhur et al	PERSON
ejpam-4746	148	1	j. pure	PERSON
ejpam-4746	148	2	16	CARDINAL
ejpam-4746	148	3	2	CARDINAL
ejpam-4746	148	4	2023	CARDINAL
ejpam-4746	148	5	1059-1067 1065	CARDINAL
ejpam-4746	148	6	1	CARDINAL
ejpam-4746	148	7	2	CARDINAL
ejpam-4746	148	8	3	CARDINAL
ejpam-4746	148	9	1066 4	DATE
ejpam-4746	150	1	k k abbo	PERSON
ejpam-4746	151	1	polak	PERSON
ejpam-4746	152	1	tikrit journal of pure science	ORG
ejpam-4746	152	2	21:124–129	DATE
ejpam-4746	152	3	2016	DATE
ejpam-4746	153	1	2	CARDINAL
ejpam-4746	153	2	k k abbo	PERSON
ejpam-4746	154	1	dai-yuan	ORG
ejpam-4746	155	1	tikrit journal of pure science	ORG
ejpam-4746	155	2	21:118–123	CARDINAL
ejpam-4746	155	3	2016	DATE
ejpam-4746	156	1	3	CARDINAL
ejpam-4746	156	2	k k abbo	PERSON
ejpam-4746	158	1	j. enhanc	PERSON
ejpam-4746	160	1	sci	ORG
ejpam-4746	160	2	technol	PERSON
ejpam-4746	161	1	eng	PERSON
ejpam-4746	161	2	5:269–276	CARDINAL
ejpam-4746	161	3	2016	DATE
ejpam-4746	162	1	4	CARDINAL
ejpam-4746	162	2	k k abbo	PERSON
ejpam-4746	165	1	j. math	PERSON
ejpam-4746	168	1	8:1–9	DATE
ejpam-4746	168	2	2018	DATE
ejpam-4746	169	1	5	CARDINAL
ejpam-4746	169	2	abdullah	PERSON
ejpam-4746	171	1	tikrit journal of pure science	ORG
ejpam-4746	171	2	24:86–90	CARDINAL
ejpam-4746	171	3	2019	DATE
ejpam-4746	172	1	6	CARDINAL
ejpam-4746	174	1	adv	ORG
ejpam-4746	175	1	10:147–161, 2008	DATE
ejpam-4746	176	1	7	CARDINAL
ejpam-4746	176	2	l liao	PERSON
ejpam-4746	179	1	new york	GPE
ejpam-4746	179	2	2001	DATE
ejpam-4746	180	1	8	CARDINAL
ejpam-4746	180	2	dai	ORG
ejpam-4746	180	3	y yuan	ORG
ejpam-4746	182	1	siam journal	ORG
ejpam-4746	182	2	10:177–182, 1999	DATE
ejpam-4746	183	1	9	CARDINAL
ejpam-4746	185	1	john wiley & sons	ORG
ejpam-4746	185	2	2013	DATE
ejpam-4746	186	1	10	CARDINAL
ejpam-4746	188	1	the computer journal	ORG
ejpam-4746	188	2	1964	DATE
ejpam-4746	189	1	11	CARDINAL
ejpam-4746	191	1	siam journal	ORG
ejpam-4746	191	2	2:21–42, 1992	DATE
ejpam-4746	192	1	12	CARDINAL
ejpam-4746	192	2	w hager	PERSON
ejpam-4746	194	1	pacific journal of optimization	ORG
ejpam-4746	194	2	2:35–58	CARDINAL
ejpam-4746	194	3	2006	DATE
ejpam-4746	195	1	1067	CARDINAL
ejpam-4746	196	1	13	CARDINAL
ejpam-4746	197	1	linear systems	ORG
ejpam-4746	198	1	journal of research of	ORG
ejpam-4746	198	2	the national bureau of standards	ORG
ejpam-4746	198	3	49:409–436	CARDINAL
ejpam-4746	198	4	1952	DATE
ejpam-4746	199	1	14	CARDINAL
ejpam-4746	199	2	k k abbo	PERSON
ejpam-4746	201	1	3:57–69	CARDINAL
ejpam-4746	201	2	2020	DATE
ejpam-4746	202	1	15	CARDINAL
ejpam-4746	202	2	k k abbo	PERSON
ejpam-4746	204	1	journal of physics	ORG
ejpam-4746	204	2	1879	DATE
ejpam-4746	204	3	022111	DATE
ejpam-4746	204	4	2021	DATE
ejpam-4746	205	1	16	CARDINAL
ejpam-4746	207	1	european journal	ORG
ejpam-4746	207	2	15:1908–1916	CARDINAL
ejpam-4746	207	3	2022	CARDINAL
ejpam-4746	208	1	17	CARDINAL
ejpam-4746	208	2	j liu	PERSON
ejpam-4746	208	3	s wang	PERSON
ejpam-4746	210	1	2011:1–12, 2011	DATE
ejpam-4746	211	1	18	CARDINAL
ejpam-4746	213	1	2006	DATE
ejpam-4746	214	1	19	CARDINAL
ejpam-4746	215	1	sur la convergence de méthodes de	ORG
ejpam-4746	217	1	3:35–43, 1969	DATE
ejpam-4746	218	1	20	CARDINAL
ejpam-4746	220	1	siam review	ORG
ejpam-4746	220	2	12:79–97, 1970	DATE
ejpam-4746	221	1	21	CARDINAL
ejpam-4746	221	2	abdulhamid	GPE
ejpam-4746	222	1	two	CARDINAL
ejpam-4746	223	1	2:34–42	CARDINAL
ejpam-4746	223	2	2019	DATE
ejpam-4746	224	1	22	CARDINAL
ejpam-4746	226	1	13:309–323	CARDINAL
ejpam-4746	226	2	2019	DATE
ejpam-4746	227	1	23	CARDINAL
ejpam-4746	229	1	siam	GPE
ejpam-4746	229	2	13:185–188	CARDINAL
ejpam-4746	229	3	1971	DATE