id	sid	eid	entity	type
ejpam-6377	1	1	european journal	ORG
ejpam-6377	1	2	2025	DATE
ejpam-6377	1	3	18	CARDINAL
ejpam-6377	1	4	3	CARDINAL
ejpam-6377	1	5	6377	DATE
ejpam-6377	1	6	1307-5543	DATE
ejpam-6377	1	7	new york	GPE
ejpam-6377	1	8	ahmed anwer mustafa1,∗	PERSON
ejpam-6377	1	9	hussein ageel	PERSON
ejpam-6377	1	10	khatab2 1	FAC
ejpam-6377	1	11	university of zakho	ORG
ejpam-6377	1	12	kurdistan region	GPE
ejpam-6377	1	13	iraq	GPE
ejpam-6377	1	14	2	CARDINAL
ejpam-6377	1	15	university of zakho	ORG
ejpam-6377	1	16	kurdistan region	GPE
ejpam-6377	1	17	iraq	GPE
ejpam-6377	6	1	2020	DATE
ejpam-6377	6	2	65k05	CARDINAL
ejpam-6377	6	3	46n10	CARDINAL
ejpam-6377	6	4	90c26	CARDINAL
ejpam-6377	6	5	90c30	CARDINAL
ejpam-6377	6	6	1	CARDINAL
ejpam-6377	6	7	1	CARDINAL
ejpam-6377	8	1	2	CARDINAL
ejpam-6377	8	2	3	CARDINAL
ejpam-6377	9	1	three	CARDINAL
ejpam-6377	9	2	4	CARDINAL
ejpam-6377	10	1	the strong wolfe	ORG
ejpam-6377	10	2	5	CARDINAL
ejpam-6377	11	1	∗corresponding	PERSON
ejpam-6377	12	1	a. a. mustafa	PERSON
ejpam-6377	12	2	hussein.khatab@uoz.edu.krd	ORG
ejpam-6377	12	3	h. a. khatab	PERSON
ejpam-6377	13	1	1	CARDINAL
ejpam-6377	13	2	2025	CARDINAL
ejpam-6377	14	1	a. a. mustafa	PERSON
ejpam-6377	14	2	h. a. khatab	PERSON
ejpam-6377	15	1	j. pure	PERSON
ejpam-6377	15	2	18	CARDINAL
ejpam-6377	15	3	3	CARDINAL
ejpam-6377	15	4	2025	CARDINAL
ejpam-6377	15	5	2	CARDINAL
ejpam-6377	15	6	12	CARDINAL
ejpam-6377	15	7	6	CARDINAL
ejpam-6377	16	1	8	CARDINAL
ejpam-6377	17	1	9	CARDINAL
ejpam-6377	17	2	10	CARDINAL
ejpam-6377	20	1	1.1	CARDINAL
ejpam-6377	21	1	k ≥ 0	ORG
ejpam-6377	23	1	1.2	CARDINAL
ejpam-6377	24	1	dk	PERSON
ejpam-6377	26	1	1.3	CARDINAL
ejpam-6377	27	1	fletcher-reeves	ORG
ejpam-6377	28	1	11	CARDINAL
ejpam-6377	28	2	dai	ORG
ejpam-6377	29	1	12	CARDINAL
ejpam-6377	30	1	13	CARDINAL
ejpam-6377	31	1	14	CARDINAL
ejpam-6377	32	1	15	CARDINAL
ejpam-6377	32	2	liu-storey	PERSON
ejpam-6377	32	3	16	CARDINAL
ejpam-6377	33	1	∥gk+1∥2	PRODUCT
ejpam-6377	34	1	1.4	CARDINAL
ejpam-6377	35	1	− gk	PERSON
ejpam-6377	35	2	1.5	CARDINAL
ejpam-6377	36	1	− gk	PERSON
ejpam-6377	36	2	dtk	ORG
ejpam-6377	36	3	− gk	PERSON
ejpam-6377	36	4	1.6	CARDINAL
ejpam-6377	37	1	k = gtk+1(gk+1 − gk	PERSON
ejpam-6377	38	1	1.7	CARDINAL
ejpam-6377	39	1	1.8	CARDINAL
ejpam-6377	39	2	a. a. mustafa	PERSON
ejpam-6377	39	3	h. a. khatab	PERSON
ejpam-6377	40	1	j. pure	PERSON
ejpam-6377	40	2	18	CARDINAL
ejpam-6377	40	3	3	CARDINAL
ejpam-6377	40	4	2025	CARDINAL
ejpam-6377	40	5	6377 3	DATE
ejpam-6377	41	1	− gk	PERSON
ejpam-6377	41	2	gk	PERSON
ejpam-6377	41	3	1.9	CARDINAL
ejpam-6377	41	4	− gk	PERSON
ejpam-6377	42	1	hussein ageel khatab	PERSON
ejpam-6377	42	2	salah gazi shareef	PERSON
ejpam-6377	42	3	three	CARDINAL
ejpam-6377	42	4	4	CARDINAL
ejpam-6377	43	1	ahmed anwer mustafa	PERSON
ejpam-6377	43	2	6	CARDINAL
ejpam-6377	46	1	zoutendijk	ORG
ejpam-6377	46	2	17	CARDINAL
ejpam-6377	46	3	al-baali	PERSON
ejpam-6377	46	4	18	CARDINAL
ejpam-6377	47	1	dai	ORG
ejpam-6377	48	1	12	CARDINAL
ejpam-6377	49	1	c2g t k dk	ORG
ejpam-6377	50	1	section 2	LAW
ejpam-6377	51	1	section 3	DATE
ejpam-6377	52	1	section 4	LAW
ejpam-6377	53	1	section 5	LAW
ejpam-6377	53	2	section 6.	DATE
ejpam-6377	54	1	2	CARDINAL
ejpam-6377	56	1	19	CARDINAL
ejpam-6377	57	1	k = max	PERSON
ejpam-6377	57	2	2.1	CARDINAL
ejpam-6377	57	3	k = gtk+1yk dtk	ORG
ejpam-6377	57	4	2∥yk∥2gtk+1dk	CARDINAL
ejpam-6377	57	5	dtk yk	PERSON
ejpam-6377	57	6	2	DATE
ejpam-6377	57	7	1	CARDINAL
ejpam-6377	57	8	0	CARDINAL
ejpam-6377	59	1	19	CARDINAL
ejpam-6377	59	2	2.1	CARDINAL
ejpam-6377	59	3	f(x	ORG
ejpam-6377	60	1	a. a. mustafa	PERSON
ejpam-6377	60	2	h. a. khatab	PERSON
ejpam-6377	61	1	j. pure	PERSON
ejpam-6377	61	2	18	CARDINAL
ejpam-6377	61	3	3	CARDINAL
ejpam-6377	61	4	2025	CARDINAL
ejpam-6377	61	5	6377 4	DATE
ejpam-6377	61	6	hussein ageel khatab	PERSON
ejpam-6377	61	7	salah gazi shareef	PERSON
ejpam-6377	62	1	20	CARDINAL
ejpam-6377	64	1	− gtk+1vk	PERSON
ejpam-6377	64	2	dtk	ORG
ejpam-6377	64	3	µ gtk+1dk dtk yk	ORG
ejpam-6377	64	4	gtk yk	PERSON
ejpam-6377	64	5	2.2	CARDINAL
ejpam-6377	64	6	0	CARDINAL
ejpam-6377	64	7	1	CARDINAL
ejpam-6377	66	1	βnew k	PERSON
ejpam-6377	68	1	gtk+1yk dtk yk −	PERSON
ejpam-6377	68	2	2 gtk+1dk	QUANTITY
ejpam-6377	68	3	2.3	CARDINAL
ejpam-6377	68	4	0	CARDINAL
ejpam-6377	69	1	βnew k	PERSON
ejpam-6377	69	2	1	CARDINAL
ejpam-6377	69	3	x0	ORG
ejpam-6377	69	4	10−5	CARDINAL
ejpam-6377	70	1	2	CARDINAL
ejpam-6377	70	2	gk =	PERSON
ejpam-6377	72	1	0	CARDINAL
ejpam-6377	73	1	3	CARDINAL
ejpam-6377	74	1	0	CARDINAL
ejpam-6377	75	1	1	CARDINAL
ejpam-6377	75	2	4	CARDINAL
ejpam-6377	78	1	5	CARDINAL
ejpam-6377	78	2	βnew k	PERSON
ejpam-6377	78	3	2.3	CARDINAL
ejpam-6377	79	1	6	CARDINAL
ejpam-6377	79	2	βnew k dk.	PERSON
ejpam-6377	79	3	7	CARDINAL
ejpam-6377	79	4	0.2∥gk+1∥2	CARDINAL
ejpam-6377	79	5	2	CARDINAL
ejpam-6377	80	1	k = k	PERSON
ejpam-6377	81	1	3	CARDINAL
ejpam-6377	81	2	a. a. mustafa	PERSON
ejpam-6377	81	3	h. a. khatab	PERSON
ejpam-6377	82	1	j. pure	PERSON
ejpam-6377	82	2	18	CARDINAL
ejpam-6377	82	3	3	CARDINAL
ejpam-6377	82	4	2025	CARDINAL
ejpam-6377	82	5	6377 5	DATE
ejpam-6377	82	6	12 3	CARDINAL
ejpam-6377	84	1	1	CARDINAL
ejpam-6377	84	2	1.2	CARDINAL
ejpam-6377	84	3	2.3	CARDINAL
ejpam-6377	84	4	gtk+1vk	ORG
ejpam-6377	84	5	0	CARDINAL
ejpam-6377	85	1	2.3	CARDINAL
ejpam-6377	85	2	1.3	CARDINAL
ejpam-6377	85	3	βnew k dk or	PERSON
ejpam-6377	85	4	gtk+1yk dtk yk −	ORG
ejpam-6377	85	5	2 gtk+1dk	PERSON
ejpam-6377	86	1	dk	PERSON
ejpam-6377	86	2	2.4	CARDINAL
ejpam-6377	86	3	2.4	CARDINAL
ejpam-6377	86	4	dtk+1yk	ORG
ejpam-6377	87	1	2	CARDINAL
ejpam-6377	88	1	k yk	PERSON
ejpam-6377	88	2	∥gk+1∥2∥vk∥2∥xk+1∥ dtk yk gtk+1dk	ORG
ejpam-6377	88	3	2.5	CARDINAL
ejpam-6377	88	4	∥gk+1∥2∥vk∥2∥xk+1∥ dtk yk	ORG
ejpam-6377	88	5	gtk+1vk	PERSON
ejpam-6377	88	6	2.6	CARDINAL
ejpam-6377	88	7	∥gk+1∥2∥vk∥2∥xk+1∥ dtk yk	ORG
ejpam-6377	88	8	gtk+1vk	ORG
ejpam-6377	88	9	2	CARDINAL
ejpam-6377	88	10	1.2	CARDINAL
ejpam-6377	88	11	1.3	CARDINAL
ejpam-6377	88	12	2.3	CARDINAL
ejpam-6377	90	1	g0 = −gt0 g0 =	ORG
ejpam-6377	90	2	−∥g0∥2 ≤ 0	ORG
ejpam-6377	90	3	dtk	ORG
ejpam-6377	90	4	a. a. mustafa	PERSON
ejpam-6377	90	5	h. a. khatab	PERSON
ejpam-6377	91	1	j. pure	PERSON
ejpam-6377	91	2	18	CARDINAL
ejpam-6377	91	3	3	CARDINAL
ejpam-6377	91	4	2025	CARDINAL
ejpam-6377	91	5	6377 6 of 12	DATE
ejpam-6377	91	6	1	CARDINAL
ejpam-6377	91	7	1.3	CARDINAL
ejpam-6377	91	8	2.3	CARDINAL
ejpam-6377	91	9	2.4	CARDINAL
ejpam-6377	91	10	2.4	CARDINAL
ejpam-6377	93	1	+ gtk+1yk dtk yk dtk	GPE
ejpam-6377	93	2	2	CARDINAL
ejpam-6377	93	3	2.7	CARDINAL
ejpam-6377	93	4	dtk	ORG
ejpam-6377	94	1	dtk	ORG
ejpam-6377	94	2	first	ORDINAL
ejpam-6377	94	3	two	CARDINAL
ejpam-6377	94	4	2.7	CARDINAL
ejpam-6377	94	5	zero	CARDINAL
ejpam-6377	95	1	third	ORDINAL
ejpam-6377	95	2	zero	CARDINAL
ejpam-6377	95	3	∥gk+1∥2∥vk∥2∥xk+1∥ (dtk yk	ORG
ejpam-6377	95	4	2	CARDINAL
ejpam-6377	95	5	2	CARDINAL
ejpam-6377	95	6	2.8	CARDINAL
ejpam-6377	96	1	3	CARDINAL
ejpam-6377	96	2	1.2	CARDINAL
ejpam-6377	96	3	1.3	CARDINAL
ejpam-6377	96	4	2.3	CARDINAL
ejpam-6377	97	1	2.8	CARDINAL
ejpam-6377	97	2	∥gk+1∥2 ∥gk+1∥2	PERSON
ejpam-6377	97	3	∥gk+1∥2∥vk∥2∥xk+1∥ (dtk yk	ORG
ejpam-6377	97	4	2	CARDINAL
ejpam-6377	97	5	2	CARDINAL
ejpam-6377	97	6	∥gk+1∥2	PRODUCT
ejpam-6377	97	7	2.9	CARDINAL
ejpam-6377	97	8	2	CARDINAL
ejpam-6377	97	9	4	CARDINAL
ejpam-6377	97	10	•	CARDINAL
ejpam-6377	98	1	•	CARDINAL
ejpam-6377	98	2	0	CARDINAL
ejpam-6377	98	3	n. a. a. mustafa	PERSON
ejpam-6377	98	4	h. a. khatab	PERSON
ejpam-6377	99	1	j. pure	PERSON
ejpam-6377	99	2	18	CARDINAL
ejpam-6377	99	3	3	CARDINAL
ejpam-6377	99	4	2025	CARDINAL
ejpam-6377	99	5	7	CARDINAL
ejpam-6377	99	6	12	CARDINAL
ejpam-6377	100	1	0	CARDINAL
ejpam-6377	100	2	5	CARDINAL
ejpam-6377	100	3	1	CARDINAL
ejpam-6377	100	4	1.3	CARDINAL
ejpam-6377	100	5	2.3	CARDINAL
ejpam-6377	100	6	dk	PERSON
ejpam-6377	100	7	the strong wolfe line	ORG
ejpam-6377	101	1	∑	PERSON
ejpam-6377	101	2	1 ∥dk+1∥2	QUANTITY
ejpam-6377	101	3	4.1	CARDINAL
ejpam-6377	101	4	lim k→∞	PERSON
ejpam-6377	101	5	0	CARDINAL
ejpam-6377	102	1	4.2	CARDINAL
ejpam-6377	102	2	1.3	CARDINAL
ejpam-6377	102	3	2.3	CARDINAL
ejpam-6377	103	1	xk∥2	PERSON
ejpam-6377	104	1	4.3	CARDINAL
ejpam-6377	105	1	4.5	CARDINAL
ejpam-6377	105	2	1	CARDINAL
ejpam-6377	106	1	4	CARDINAL
ejpam-6377	107	1	2.3	CARDINAL
ejpam-6377	109	1	zero	CARDINAL
ejpam-6377	109	2	∥gk+1∥2 ≤ η2∥vk∥	PERSON
ejpam-6377	109	3	4.6	CARDINAL
ejpam-6377	109	4	lim k→∞	PERSON
ejpam-6377	110	1	4.7	CARDINAL
ejpam-6377	110	2	k = gtk+1yk dtk yk −	ORG
ejpam-6377	110	3	2 gtk+1dk	PERSON
ejpam-6377	110	4	|βnew k	PERSON
ejpam-6377	112	1	gtk+1yk dtk yk −	PERSON
ejpam-6377	112	2	2	CARDINAL
ejpam-6377	112	3	gtk+1dk| a. a. mustafa	PERSON
ejpam-6377	112	4	h. a. khatab	PERSON
ejpam-6377	113	1	j. pure	PERSON
ejpam-6377	113	2	18	CARDINAL
ejpam-6377	113	3	3	CARDINAL
ejpam-6377	113	4	2025	CARDINAL
ejpam-6377	113	5	6377 8	DATE
ejpam-6377	113	6	12	CARDINAL
ejpam-6377	115	1	dtk yk +	PERSON
ejpam-6377	115	2	∥gk+1∥2∥vk∥2∥xk+1∥	ORG
ejpam-6377	115	3	k yk	PERSON
ejpam-6377	115	4	2	CARDINAL
ejpam-6377	115	5	|βnew k	PERSON
ejpam-6377	116	1	η2∥vk∥∥vk∥2∥xk+1∥ αk(δ∥vk∥2)2 ρ∥vk∥ or	PERSON
ejpam-6377	116	2	|βnew k	PERSON
ejpam-6377	117	1	ρ∥xk+1∥	CARDINAL
ejpam-6377	117	2	1	CARDINAL
ejpam-6377	117	3	ρ∥xk+1∥	CARDINAL
ejpam-6377	117	4	1	CARDINAL
ejpam-6377	117	5	ρ∥xk+1∥	CARDINAL
ejpam-6377	117	6	1	CARDINAL
ejpam-6377	117	7	4.1	CARDINAL
ejpam-6377	118	1	lemma 1	ORG
ejpam-6377	118	2	4.2	CARDINAL
ejpam-6377	118	3	4.7	CARDINAL
ejpam-6377	119	1	5	CARDINAL
ejpam-6377	119	2	10	CARDINAL
ejpam-6377	119	3	300	CARDINAL
ejpam-6377	119	4	1000	CARDINAL
ejpam-6377	119	5	4000	CARDINAL
ejpam-6377	119	6	fortran90	GPE
ejpam-6377	120	1	1	CARDINAL
ejpam-6377	121	1	1	CARDINAL
ejpam-6377	121	2	nof	GPE
ejpam-6377	122	1	1	CARDINAL
ejpam-6377	122	2	2	CARDINAL
ejpam-6377	123	1	a. a. mustafa	PERSON
ejpam-6377	123	2	h. a. khatab	PERSON
ejpam-6377	124	1	j. pure	PERSON
ejpam-6377	124	2	18	CARDINAL
ejpam-6377	124	3	3	CARDINAL
ejpam-6377	124	4	2025	CARDINAL
ejpam-6377	124	5	6377 9	DATE
ejpam-6377	124	6	12	CARDINAL
ejpam-6377	124	7	1	CARDINAL
ejpam-6377	124	8	two	CARDINAL
ejpam-6377	124	9	n noi	ORG
ejpam-6377	124	10	nof	PERSON
ejpam-6377	124	11	1	CARDINAL
ejpam-6377	124	12	10	CARDINAL
ejpam-6377	124	13	68	CARDINAL
ejpam-6377	124	14	24	CARDINAL
ejpam-6377	124	15	2	CARDINAL
ejpam-6377	124	16	osp	ORG
ejpam-6377	124	17	10	CARDINAL
ejpam-6377	124	18	88	CARDINAL
ejpam-6377	124	19	419 4000	CARDINAL
ejpam-6377	124	20	700	CARDINAL
ejpam-6377	124	21	678 3	CARDINAL
ejpam-6377	124	22	10	CARDINAL
ejpam-6377	124	23	108	CARDINAL
ejpam-6377	124	24	39	CARDINAL
ejpam-6377	124	25	124	CARDINAL
ejpam-6377	124	26	30 92 4000	QUANTITY
ejpam-6377	125	1	124	CARDINAL
ejpam-6377	125	2	115	CARDINAL
ejpam-6377	125	3	4	CARDINAL
ejpam-6377	125	4	10 31	DATE
ejpam-6377	125	5	22	CARDINAL
ejpam-6377	125	6	159	CARDINAL
ejpam-6377	125	7	159	CARDINAL
ejpam-6377	125	8	23	CARDINAL
ejpam-6377	125	9	248	CARDINAL
ejpam-6377	125	10	10	CARDINAL
ejpam-6377	125	11	8 21 1000	TIME
ejpam-6377	125	12	24 8 21	TIME
ejpam-6377	125	13	7	CARDINAL
ejpam-6377	125	14	8	CARDINAL
ejpam-6377	125	15	10	CARDINAL
ejpam-6377	125	16	19	CARDINAL
ejpam-6377	125	17	105	CARDINAL
ejpam-6377	125	18	32	CARDINAL
ejpam-6377	125	19	128	CARDINAL
ejpam-6377	125	20	9	CARDINAL
ejpam-6377	125	21	wolfe	ORG
ejpam-6377	125	22	10 32 65	DATE
ejpam-6377	125	23	355	CARDINAL
ejpam-6377	125	24	11	CARDINAL
ejpam-6377	125	25	10	CARDINAL
ejpam-6377	125	26	29	CARDINAL
ejpam-6377	128	1	12	CARDINAL
ejpam-6377	128	2	10 30	DATE
ejpam-6377	128	3	13	CARDINAL
ejpam-6377	128	4	9	CARDINAL
ejpam-6377	128	5	148	CARDINAL
ejpam-6377	128	6	600	CARDINAL
ejpam-6377	128	7	14	CARDINAL
ejpam-6377	128	8	g-dixon	ORG
ejpam-6377	128	9	10 21	DATE
ejpam-6377	128	10	15	CARDINAL
ejpam-6377	128	11	a. a. mustafa	PERSON
ejpam-6377	128	12	h. a. khatab	PERSON
ejpam-6377	129	1	j. pure	PERSON
ejpam-6377	129	2	18	CARDINAL
ejpam-6377	129	3	3	CARDINAL
ejpam-6377	129	4	2025	CARDINAL
ejpam-6377	129	5	6377 10	DATE
ejpam-6377	129	6	12	CARDINAL
ejpam-6377	129	7	1	CARDINAL
ejpam-6377	129	8	2	CARDINAL
ejpam-6377	129	9	6	CARDINAL
ejpam-6377	131	1	a. a. mustafa	PERSON
ejpam-6377	131	2	h. a. khatab	PERSON
ejpam-6377	132	1	j. pure	PERSON
ejpam-6377	132	2	18	CARDINAL
ejpam-6377	132	3	3	CARDINAL
ejpam-6377	132	4	2025	CARDINAL
ejpam-6377	132	5	6377 11	DATE
ejpam-6377	132	6	12	CARDINAL
ejpam-6377	135	1	fifteen	CARDINAL
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ejpam-6377	152	1	siam journal	ORG
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ejpam-6377	178	1	16:35–43, 1969	DATE
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ejpam-6377	194	2	w. w. hager	PERSON
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ejpam-6377	196	1	siam journal	ORG
ejpam-6377	196	2	16(1):170–192, 2005	DATE
ejpam-6377	197	1	20	CARDINAL
ejpam-6377	197	2	s. g. hussein	PERSON
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ejpam-6377	198	1	9(2	CARDINAL
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ejpam-6377	199	1	21	CARDINAL
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ejpam-6377	200	1	mathematical programming	ORG
ejpam-6377	200	2	91(2):201–213, 2002	DATE
