id	sid	eid	entity	type
ejpam-6417	1	1	european journal	ORG
ejpam-6417	1	2	2025	DATE
ejpam-6417	1	3	18	CARDINAL
ejpam-6417	1	4	3	CARDINAL
ejpam-6417	1	5	6417	CARDINAL
ejpam-6417	1	6	1307-5543	DATE
ejpam-6417	1	7	new york	GPE
ejpam-6417	1	8	ali algefary1,∗	PERSON
ejpam-6417	1	9	alhumaidan2 1	ORG
ejpam-6417	1	10	p.o.	ORG
ejpam-6417	1	11	6644	DATE
ejpam-6417	1	12	51452	DATE
ejpam-6417	1	13	saudi arabia	GPE
ejpam-6417	1	14	2	CARDINAL
ejpam-6417	1	15	p.o.	ORG
ejpam-6417	1	16	6644	DATE
ejpam-6417	1	17	51452	DATE
ejpam-6417	1	18	saudi arabia	GPE
ejpam-6417	2	1	n × n	ORG
ejpam-6417	5	1	2020	DATE
ejpam-6417	5	2	15a45	CARDINAL
ejpam-6417	5	3	15b48	DATE
ejpam-6417	5	4	93d05	TIME
ejpam-6417	5	5	34k25	DATE
ejpam-6417	5	6	34k05	CARDINAL
ejpam-6417	5	7	1	CARDINAL
ejpam-6417	5	8	1–3	CARDINAL
ejpam-6417	5	9	4	CARDINAL
ejpam-6417	5	10	5	CARDINAL
ejpam-6417	8	1	6	CARDINAL
ejpam-6417	8	2	8	CARDINAL
ejpam-6417	9	1	5	CARDINAL
ejpam-6417	9	2	9	CARDINAL
ejpam-6417	10	1	0	CARDINAL
ejpam-6417	10	2	∗corresponding	PERSON
ejpam-6417	11	1	a.algefary@qu.edu.sa	PERSON
ejpam-6417	11	2	a. algefary	PERSON
ejpam-6417	11	3	432206678@qu.edu.sa	DATE
ejpam-6417	11	4	1	CARDINAL
ejpam-6417	12	1	2025	CARDINAL
ejpam-6417	13	1	a. algefary	PERSON
ejpam-6417	13	2	t. alhumaidan	ORG
ejpam-6417	14	1	j. pure	PERSON
ejpam-6417	14	2	18	CARDINAL
ejpam-6417	14	3	3	CARDINAL
ejpam-6417	14	4	2025	CARDINAL
ejpam-6417	14	5	6417 2	DATE
ejpam-6417	14	6	10	CARDINAL
ejpam-6417	14	7	1	CARDINAL
ejpam-6417	16	1	10	CARDINAL
ejpam-6417	17	1	linear	ORG
ejpam-6417	19	1	11	CARDINAL
ejpam-6417	19	2	12	CARDINAL
ejpam-6417	20	1	6	CARDINAL
ejpam-6417	20	2	13	CARDINAL
ejpam-6417	20	3	14	CARDINAL
ejpam-6417	21	1	15	CARDINAL
ejpam-6417	23	1	n × n	ORG
ejpam-6417	25	1	1	CARDINAL
ejpam-6417	25	2	2	CARDINAL
ejpam-6417	26	1	3	CARDINAL
ejpam-6417	29	1	2	CARDINAL
ejpam-6417	35	1	a. algefary	PERSON
ejpam-6417	35	2	t. alhumaidan	ORG
ejpam-6417	36	1	j. pure	PERSON
ejpam-6417	36	2	18	CARDINAL
ejpam-6417	36	3	3	CARDINAL
ejpam-6417	36	4	2025	CARDINAL
ejpam-6417	36	5	6417 3	DATE
ejpam-6417	36	6	10	CARDINAL
ejpam-6417	38	1	∈	ORG
ejpam-6417	39	1	tr(x	ORDINAL
ejpam-6417	39	2	x.	GPE
ejpam-6417	39	3	1	CARDINAL
ejpam-6417	41	1	1	CARDINAL
ejpam-6417	43	1	two	CARDINAL
ejpam-6417	43	2	rn×n	GPE
ejpam-6417	45	1	6.2.3	CARDINAL
ejpam-6417	45	2	11	CARDINAL
ejpam-6417	45	3	0	CARDINAL
ejpam-6417	46	1	12	CARDINAL
ejpam-6417	46	2	13	CARDINAL
ejpam-6417	46	3	hij ∈ rn×n	PERSON
ejpam-6417	48	1	two	CARDINAL
ejpam-6417	49	1	atp + pa	LOC
ejpam-6417	51	1	1	CARDINAL
ejpam-6417	51	2	16	CARDINAL
ejpam-6417	51	3	17	CARDINAL
ejpam-6417	52	1	n × n	ORG
ejpam-6417	55	1	2	CARDINAL
ejpam-6417	55	2	10	CARDINAL
ejpam-6417	55	3	12	CARDINAL
ejpam-6417	58	1	1	CARDINAL
ejpam-6417	58	2	2	CARDINAL
ejpam-6417	58	3	3	CARDINAL
ejpam-6417	59	1	1	CARDINAL
ejpam-6417	61	1	3	CARDINAL
ejpam-6417	61	2	18	CARDINAL
ejpam-6417	62	1	n × n	ORG
ejpam-6417	63	1	a1 + a2 + a3	PRODUCT
ejpam-6417	64	1	a. algefary	PERSON
ejpam-6417	64	2	t. alhumaidan	ORG
ejpam-6417	65	1	j. pure	PERSON
ejpam-6417	65	2	18	CARDINAL
ejpam-6417	65	3	3	CARDINAL
ejpam-6417	65	4	2025	CARDINAL
ejpam-6417	65	5	6417 4 of 10 3	DATE
ejpam-6417	66	1	2.1	CARDINAL
ejpam-6417	66	2	2.2	CARDINAL
ejpam-6417	66	3	2.3	CARDINAL
ejpam-6417	66	4	2.4	CARDINAL
ejpam-6417	67	1	3.1	CARDINAL
ejpam-6417	67	2	1	CARDINAL
ejpam-6417	67	3	18	CARDINAL
ejpam-6417	69	1	1	CARDINAL
ejpam-6417	70	1	2	CARDINAL
ejpam-6417	70	2	3	CARDINAL
ejpam-6417	71	1	0	CARDINAL
ejpam-6417	72	1	2	CARDINAL
ejpam-6417	72	2	3	CARDINAL
ejpam-6417	72	3	rn×n	GPE
ejpam-6417	72	4	12	CARDINAL
ejpam-6417	72	5	13	CARDINAL
ejpam-6417	72	6	3	CARDINAL
ejpam-6417	72	7	diag(h11	ORG
ejpam-6417	72	8	diag(h22	GPE
ejpam-6417	72	9	diag(h11	ORG
ejpam-6417	72	10	diag(h33	GPE
ejpam-6417	72	11	at least one	CARDINAL
ejpam-6417	73	1	12	CARDINAL
ejpam-6417	73	2	t 13	DATE
ejpam-6417	74	1	2	CARDINAL
ejpam-6417	74	2	18	CARDINAL
ejpam-6417	76	1	1	CARDINAL
ejpam-6417	77	1	2	CARDINAL
ejpam-6417	77	2	3	CARDINAL
ejpam-6417	78	1	0	CARDINAL
ejpam-6417	78	2	3	CARDINAL
ejpam-6417	78	3	rn×n	GPE
ejpam-6417	78	4	12	CARDINAL
ejpam-6417	78	5	13	CARDINAL
ejpam-6417	78	6	a. algefary	PERSON
ejpam-6417	78	7	t. alhumaidan	ORG
ejpam-6417	79	1	j. pure	PERSON
ejpam-6417	79	2	18	CARDINAL
ejpam-6417	79	3	3	CARDINAL
ejpam-6417	79	4	2025	CARDINAL
ejpam-6417	79	5	6417 5	DATE
ejpam-6417	79	6	10	CARDINAL
ejpam-6417	79	7	diag(h11	ORG
ejpam-6417	80	1	at least one	CARDINAL
ejpam-6417	81	1	12	CARDINAL
ejpam-6417	81	2	t 13	DATE
ejpam-6417	82	1	3.2	CARDINAL
ejpam-6417	83	1	3	CARDINAL
ejpam-6417	85	1	1	CARDINAL
ejpam-6417	85	2	s12	DATE
ejpam-6417	85	3	1	CARDINAL
ejpam-6417	85	4	s12 s13 st 12 s22 s23 st 13 st 23	PERSON
ejpam-6417	85	5	diag(s22	PERSON
ejpam-6417	85	6	diag(s33	ORG
ejpam-6417	88	1	r3n×3n	GPE
ejpam-6417	88	2	12	CARDINAL
ejpam-6417	88	3	13	CARDINAL
ejpam-6417	88	4	diag(h11	ORG
ejpam-6417	90	1	lemma 1	ORG
ejpam-6417	92	1	diag(h11	ORG
ejpam-6417	92	2	diag(s22	PERSON
ejpam-6417	92	3	diag(s33	ORG
ejpam-6417	94	1	1	CARDINAL
ejpam-6417	94	2	1	CARDINAL
ejpam-6417	94	3	+a2k t 12	DATE
ejpam-6417	95	1	a. algefary	PERSON
ejpam-6417	95	2	t. alhumaidan	ORG
ejpam-6417	96	1	j. pure	PERSON
ejpam-6417	96	2	18	CARDINAL
ejpam-6417	96	3	3	CARDINAL
ejpam-6417	96	4	2025	CARDINAL
ejpam-6417	96	5	6417 6 of 10	DATE
ejpam-6417	96	6	at least one	CARDINAL
ejpam-6417	96	7	less than zero	CARDINAL
ejpam-6417	97	1	k12	ORG
ejpam-6417	97	2	s12 ◦h12	ORG
ejpam-6417	98	1	1	CARDINAL
ejpam-6417	101	1	11	CARDINAL
ejpam-6417	101	2	ik = n∑ i=1 a1kis	PERSON
ejpam-6417	101	3	11	CARDINAL
ejpam-6417	101	4	ik = n∑ i=1	PERSON
ejpam-6417	102	1	11 ik	QUANTITY
ejpam-6417	105	1	12	CARDINAL
ejpam-6417	105	2	12))kk	CARDINAL
ejpam-6417	107	1	t 12	DATE
ejpam-6417	109	1	12	CARDINAL
ejpam-6417	109	2	kih	ORG
ejpam-6417	109	3	12	CARDINAL
ejpam-6417	112	1	12	CARDINAL
ejpam-6417	115	1	s13)h	GPE
ejpam-6417	115	2	t 13)kk	DATE
ejpam-6417	117	1	at least one	CARDINAL
ejpam-6417	117	2	1	CARDINAL
ejpam-6417	122	1	s13)h	GPE
ejpam-6417	122	2	t 13)kk	DATE
ejpam-6417	123	1	2	CARDINAL
ejpam-6417	123	2	s12	DATE
ejpam-6417	123	3	1	CARDINAL
ejpam-6417	124	1	a. algefary	PERSON
ejpam-6417	124	2	t. alhumaidan	ORG
ejpam-6417	125	1	j. pure	PERSON
ejpam-6417	125	2	18	CARDINAL
ejpam-6417	125	3	3	CARDINAL
ejpam-6417	125	4	2025	CARDINAL
ejpam-6417	125	5	6417 7	DATE
ejpam-6417	125	6	10	CARDINAL
ejpam-6417	125	7	3n×3n	CARDINAL
ejpam-6417	125	8	diag(s22	PERSON
ejpam-6417	126	1	diag(s33	ORG
ejpam-6417	130	1	4	CARDINAL
ejpam-6417	132	1	1	CARDINAL
ejpam-6417	132	2	s12 s13 st 12 s22 s23 st 13 st 23	PERSON
ejpam-6417	132	3	diag(s22	PERSON
ejpam-6417	132	4	diag(s33	ORG
ejpam-6417	135	1	3	CARDINAL
ejpam-6417	135	2	s12	DATE
ejpam-6417	136	1	3	CARDINAL
ejpam-6417	137	1	lemma 2	ORG
ejpam-6417	138	1	r3n×3n	ORG
ejpam-6417	138	2	12	CARDINAL
ejpam-6417	138	3	13	CARDINAL
ejpam-6417	140	1	hij	PERSON
ejpam-6417	140	2	0 1	CARDINAL
ejpam-6417	142	1	diag(s22	PERSON
ejpam-6417	142	2	diag(s33	ORG
ejpam-6417	142	3	diag(h11	ORG
ejpam-6417	146	1	a. algefary	PERSON
ejpam-6417	146	2	t. alhumaidan	ORG
ejpam-6417	147	1	j. pure	PERSON
ejpam-6417	147	2	18	CARDINAL
ejpam-6417	147	3	3	CARDINAL
ejpam-6417	147	4	2025	CARDINAL
ejpam-6417	147	5	6417 8 of 10	DATE
ejpam-6417	148	1	∈	ORG
ejpam-6417	148	2	1	CARDINAL
ejpam-6417	148	3	k ∈	ORG
ejpam-6417	148	4	1	CARDINAL
ejpam-6417	152	1	11	CARDINAL
ejpam-6417	155	1	12	CARDINAL
ejpam-6417	157	1	13	CARDINAL
ejpam-6417	158	1	12	CARDINAL
ejpam-6417	159	1	t 13)kk	DATE
ejpam-6417	160	1	2	CARDINAL
ejpam-6417	162	1	4.	CARDINAL
ejpam-6417	162	2	1	CARDINAL
ejpam-6417	162	3	2	CARDINAL
ejpam-6417	162	4	3	CARDINAL
ejpam-6417	162	5	4	DATE
ejpam-6417	164	1	5	CARDINAL
ejpam-6417	170	1	a. algefary	PERSON
ejpam-6417	170	2	t. alhumaidan	ORG
ejpam-6417	171	1	j. pure	PERSON
ejpam-6417	171	2	18	CARDINAL
ejpam-6417	171	3	3	CARDINAL
ejpam-6417	171	4	2025	CARDINAL
ejpam-6417	171	5	6417 9	DATE
ejpam-6417	171	6	10	CARDINAL
ejpam-6417	171	7	the academic year 1446	DATE
ejpam-6417	171	8	2024	CARDINAL
ejpam-6417	173	1	1	CARDINAL
ejpam-6417	173	2	stephen boyd	PERSON
ejpam-6417	173	3	laurent el ghaoui	PERSON
ejpam-6417	173	4	eric feron	PERSON
ejpam-6417	173	5	venkataramanan balakrishnan	PERSON
ejpam-6417	174	1	linear	ORG
ejpam-6417	175	1	siam	GPE
ejpam-6417	175	2	1994	DATE
ejpam-6417	176	1	2	CARDINAL
ejpam-6417	176	2	pierre apkarian	PERSON
ejpam-6417	177	1	linear	ORG
ejpam-6417	178	1	4(4):421–448	CARDINAL
ejpam-6417	178	2	1994	DATE
ejpam-6417	179	1	3	CARDINAL
ejpam-6417	179	2	lakhlifa sadek	PERSON
ejpam-6417	179	3	el mostafa sadek	PERSON
ejpam-6417	179	4	hamad talibi alaoui	PERSON
ejpam-6417	181	1	27(4):69	DATE
ejpam-6417	181	2	2022	CARDINAL
ejpam-6417	182	1	4	CARDINAL
ejpam-6417	182	2	stephen boyd	PERSON
ejpam-6417	183	1	semidefinite programming	ORG
ejpam-6417	184	1	siam review	ORG
ejpam-6417	184	2	1996	DATE
ejpam-6417	185	1	5	CARDINAL
ejpam-6417	185	2	hassan k khalil	PERSON
ejpam-6417	185	3	jessy w grizzle	PERSON
ejpam-6417	186	1	3	CARDINAL
ejpam-6417	186	2	prentice hall	ORG
ejpam-6417	186	3	nj	GPE
ejpam-6417	186	4	2002	DATE
ejpam-6417	187	1	6	CARDINAL
ejpam-6417	187	2	reza olfati-saber	PERSON
ejpam-6417	187	3	j alex fax	PERSON
ejpam-6417	187	4	richard m murray	PERSON
ejpam-6417	189	1	95(1):215–233, 2007	DATE
ejpam-6417	190	1	7	CARDINAL
ejpam-6417	190	2	lakhlifa sadek	PERSON
ejpam-6417	190	3	hamad talibi alaoui	PERSON
ejpam-6417	192	1	2021	CARDINAL
ejpam-6417	193	1	2021	DATE
ejpam-6417	193	2	2021	DATE
ejpam-6417	194	1	8	CARDINAL
ejpam-6417	194	2	sandholm	PERSON
ejpam-6417	196	1	2010	DATE
ejpam-6417	197	1	9	CARDINAL
ejpam-6417	197	2	aleksandr mikhailovich	PERSON
ejpam-6417	197	3	lyapunov	GPE
ejpam-6417	199	1	55(3):531–534, 1992	DATE
ejpam-6417	200	1	10	CARDINAL
ejpam-6417	200	2	eugenius kaszkurewicz	PERSON
ejpam-6417	200	3	amit bhaya	PERSON
ejpam-6417	201	1	springer science & business media	ORG
ejpam-6417	201	2	2012	DATE
ejpam-6417	202	1	11	CARDINAL
ejpam-6417	202	2	abraham berman	PERSON
ejpam-6417	202	3	robert j	PERSON
ejpam-6417	204	1	siam	GPE
ejpam-6417	204	2	1994	DATE
ejpam-6417	205	1	12	CARDINAL
ejpam-6417	205	2	daniel hershkowitz	PERSON
ejpam-6417	207	1	171:161–186, 1992	DATE
ejpam-6417	208	1	13	CARDINAL
ejpam-6417	208	2	zhongkui li	PERSON
ejpam-6417	208	3	zhisheng duan	PERSON
ejpam-6417	208	4	guanrong chen	PERSON
ejpam-6417	208	5	lin huang	PERSON
ejpam-6417	210	1	57(1):213–224	GPE
ejpam-6417	210	2	2009	DATE
ejpam-6417	211	1	14	CARDINAL
ejpam-6417	211	2	josef hofbauer	PERSON
ejpam-6417	211	3	karl sigmund	PERSON
ejpam-6417	213	1	cambridge university press	ORG
ejpam-6417	213	2	1998	DATE
ejpam-6417	214	1	a. algefary	PERSON
ejpam-6417	214	2	t. alhumaidan	ORG
ejpam-6417	215	1	j. pure	PERSON
ejpam-6417	215	2	18	CARDINAL
ejpam-6417	215	3	3	CARDINAL
ejpam-6417	215	4	2025	CARDINAL
ejpam-6417	215	5	6417 10 of 10	DATE
ejpam-6417	216	1	15	CARDINAL
ejpam-6417	217	1	three	CARDINAL
ejpam-6417	218	1	20(3):253–263, 1978	DATE
ejpam-6417	219	1	16	CARDINAL
ejpam-6417	219	2	charles r johnson	PERSON
ejpam-6417	221	1	cambridge university press	ORG
ejpam-6417	221	2	2012	DATE
ejpam-6417	222	1	17	CARDINAL
ejpam-6417	222	2	george ph styan	PERSON
ejpam-6417	224	1	6:217–240, 1973	DATE
ejpam-6417	225	1	18	CARDINAL
ejpam-6417	225	2	a. algefary	PERSON
ejpam-6417	225	3	a. s. m. al luhayb	PERSON