id	sid	eid	entity	type
ejpam-5597	1	1	european journal	ORG
ejpam-5597	1	2	2025	DATE
ejpam-5597	1	3	18	CARDINAL
ejpam-5597	1	4	1	CARDINAL
ejpam-5597	1	5	5597	CARDINAL
ejpam-5597	1	6	new york	GPE
ejpam-5597	1	7	2	CARDINAL
ejpam-5597	1	8	ahmad al-natoor1,∗	PERSON
ejpam-5597	2	1	isra university	ORG
ejpam-5597	2	2	amman	GPE
ejpam-5597	2	3	jordan 2	ORG
ejpam-5597	2	4	al-ahliyya amman university	ORG
ejpam-5597	2	5	amman	GPE
ejpam-5597	2	6	jordan	GPE
ejpam-5597	3	1	2×2	CARDINAL
ejpam-5597	5	1	2020	DATE
ejpam-5597	5	2	47a12	CARDINAL
ejpam-5597	5	3	47a30	CARDINAL
ejpam-5597	5	4	15a60	CARDINAL
ejpam-5597	5	5	1	CARDINAL
ejpam-5597	6	1	n × n	ORG
ejpam-5597	7	1	∈	ORG
ejpam-5597	7	2	max ∥x∥=1	PERSON
ejpam-5597	9	1	∈	ORG
ejpam-5597	9	2	ω(a	ORG
ejpam-5597	9	3	max ∥x∥=1	PERSON
ejpam-5597	9	4	x⟩|	PERSON
ejpam-5597	10	1	22	CARDINAL
ejpam-5597	10	2	∈	ORG
ejpam-5597	10	3	max	PERSON
ejpam-5597	11	1	1	CARDINAL
ejpam-5597	11	2	∈	ORG
ejpam-5597	12	1	3	CARDINAL
ejpam-5597	12	2	10	CARDINAL
ejpam-5597	12	3	12	CARDINAL
ejpam-5597	12	4	11	CARDINAL
ejpam-5597	12	5	9	CARDINAL
ejpam-5597	12	6	8	CARDINAL
ejpam-5597	12	7	13	CARDINAL
ejpam-5597	12	8	14	CARDINAL
ejpam-5597	12	9	15	CARDINAL
ejpam-5597	12	10	19	CARDINAL
ejpam-5597	12	11	20	CARDINAL
ejpam-5597	14	1	ahmad.alnatoor@iu.edu.jo	PERSON
ejpam-5597	14	2	a. al-natoor	PERSON
ejpam-5597	14	3	f. alrimawi	PERSON
ejpam-5597	15	1	1	CARDINAL
ejpam-5597	15	2	2025	CARDINAL
ejpam-5597	16	1	a. al-natoor	PERSON
ejpam-5597	16	2	f. alrimawi	PERSON
ejpam-5597	17	1	j. pure	PERSON
ejpam-5597	17	2	18	CARDINAL
ejpam-5597	17	3	1	CARDINAL
ejpam-5597	17	4	2025	CARDINAL
ejpam-5597	17	5	5597 2	DATE
ejpam-5597	18	1	w(b	PERSON
ejpam-5597	19	1	w(a	DATE
ejpam-5597	19	2	∥aa∗∥	DATE
ejpam-5597	20	1	1	CARDINAL
ejpam-5597	20	2	2	CARDINAL
ejpam-5597	20	3	4	CARDINAL
ejpam-5597	20	4	6	CARDINAL
ejpam-5597	20	5	5	CARDINAL
ejpam-5597	20	6	21	CARDINAL
ejpam-5597	21	1	2	CARDINAL
ejpam-5597	21	2	1	CARDINAL
ejpam-5597	23	1	w	GPE
ejpam-5597	24	1	∥a∗b	LOC
ejpam-5597	24	2	2	CARDINAL
ejpam-5597	25	1	1	CARDINAL
ejpam-5597	26	1	c∗ b∗	PERSON
ejpam-5597	26	2	a∗a+	CARDINAL
ejpam-5597	26	3	3	CARDINAL
ejpam-5597	27	1	a∗a+	CARDINAL
ejpam-5597	28	1	0	CARDINAL
ejpam-5597	28	2	4	CARDINAL
ejpam-5597	29	1	a∗a+	CARDINAL
ejpam-5597	29	2	0	CARDINAL
ejpam-5597	30	1	max{∥a∗a+	DATE
ejpam-5597	30	2	∥a∗b	FAC
ejpam-5597	32	1	1	CARDINAL
ejpam-5597	33	1	a. al-natoor	PERSON
ejpam-5597	33	2	f. alrimawi	PERSON
ejpam-5597	34	1	j. pure	PERSON
ejpam-5597	34	2	18	CARDINAL
ejpam-5597	34	3	1	CARDINAL
ejpam-5597	34	4	2025	CARDINAL
ejpam-5597	34	5	5597 3	DATE
ejpam-5597	34	6	9	CARDINAL
ejpam-5597	36	1	w	GPE
ejpam-5597	36	2	5	CARDINAL
ejpam-5597	37	1	0	CARDINAL
ejpam-5597	37	2	2	CARDINAL
ejpam-5597	38	1	16	CARDINAL
ejpam-5597	39	1	1	CARDINAL
ejpam-5597	43	1	1/2	CARDINAL
ejpam-5597	44	1	2	CARDINAL
ejpam-5597	46	1	w	GPE
ejpam-5597	48	1	4	CARDINAL
ejpam-5597	49	1	a∗a+	CARDINAL
ejpam-5597	50	1	0	CARDINAL
ejpam-5597	50	2	a∗a+	CARDINAL
ejpam-5597	50	3	0	CARDINAL
ejpam-5597	50	4	1	CARDINAL
ejpam-5597	50	5	a∗a+	CARDINAL
ejpam-5597	50	6	a∗a+	CARDINAL
ejpam-5597	50	7	0	CARDINAL
ejpam-5597	50	8	max{∥a∗a+ c∗c +	DATE
ejpam-5597	51	1	0	CARDINAL
ejpam-5597	51	2	2	CARDINAL
ejpam-5597	52	1	3	CARDINAL
ejpam-5597	55	1	a. al-natoor	PERSON
ejpam-5597	55	2	f. alrimawi	PERSON
ejpam-5597	56	1	j. pure	PERSON
ejpam-5597	56	2	18	CARDINAL
ejpam-5597	56	3	1	CARDINAL
ejpam-5597	56	4	2025	CARDINAL
ejpam-5597	56	5	5597 4 of 9	DATE
ejpam-5597	56	6	18	CARDINAL
ejpam-5597	57	1	2	CARDINAL
ejpam-5597	63	1	w	GPE
ejpam-5597	63	2	1 2 ∥a	QUANTITY
ejpam-5597	63	3	+ 4 ∥b∗a+d∗c∥2	DATE
ejpam-5597	65	1	3	CARDINAL
ejpam-5597	66	1	a∗a+	CARDINAL
ejpam-5597	66	2	+d∗d	TIME
ejpam-5597	67	1	∥a∗a+	CARDINAL
ejpam-5597	67	2	∥a∗b	ORG
ejpam-5597	67	3	∥a∗a+	CARDINAL
ejpam-5597	67	4	∥a∗b	ORG
ejpam-5597	68	1	1 2 ∥a	QUANTITY
ejpam-5597	69	1	+ 4 ∥b∗a+d∗c∥2	DATE
ejpam-5597	70	1	5	CARDINAL
ejpam-5597	72	1	∥c∥2	GPE
ejpam-5597	72	2	∥d∥2	DATE
ejpam-5597	74	1	1	CARDINAL
ejpam-5597	75	1	max	PERSON
ejpam-5597	75	2	∥i + c∗d∥	ORG
ejpam-5597	75	3	∥c∗c∥	ORG
ejpam-5597	75	4	1 +max	QUANTITY
ejpam-5597	75	5	∥c∥2	GPE
ejpam-5597	75	6	∥d∥2	DATE
ejpam-5597	76	1	17	CARDINAL
ejpam-5597	76	2	5	CARDINAL
ejpam-5597	77	1	a. al-natoor	PERSON
ejpam-5597	77	2	f. alrimawi	PERSON
ejpam-5597	78	1	j. pure	PERSON
ejpam-5597	78	2	18	CARDINAL
ejpam-5597	78	3	1	CARDINAL
ejpam-5597	78	4	2025	CARDINAL
ejpam-5597	78	5	5597 5	DATE
ejpam-5597	78	6	9	CARDINAL
ejpam-5597	78	7	3	CARDINAL
ejpam-5597	80	1	w	GPE
ejpam-5597	80	2	w(b	PERSON
ejpam-5597	80	3	2	CARDINAL
ejpam-5597	80	4	2	CARDINAL
ejpam-5597	81	1	6	CARDINAL
ejpam-5597	83	1	1 2 ∥a+b∥ ≤ w	QUANTITY
ejpam-5597	88	1	0	CARDINAL
ejpam-5597	88	2	2	CARDINAL
ejpam-5597	88	3	2	CARDINAL
ejpam-5597	88	4	2	CARDINAL
ejpam-5597	88	5	2	CARDINAL
ejpam-5597	89	1	max	PERSON
ejpam-5597	89	2	2	CARDINAL
ejpam-5597	89	3	w	ORG
ejpam-5597	89	4	2	CARDINAL
ejpam-5597	89	5	w	ORG
ejpam-5597	89	6	2	CARDINAL
ejpam-5597	89	7	2	CARDINAL
ejpam-5597	89	8	3	CARDINAL
ejpam-5597	89	9	1 2 ∥a+b∥	QUANTITY
ejpam-5597	92	1	0	CARDINAL
ejpam-5597	94	1	6	CARDINAL
ejpam-5597	95	1	3	CARDINAL
ejpam-5597	95	2	0	CARDINAL
ejpam-5597	96	1	max	PERSON
ejpam-5597	96	2	2	CARDINAL
ejpam-5597	96	3	2	CARDINAL
ejpam-5597	96	4	max	PERSON
ejpam-5597	96	5	1 4	DATE
ejpam-5597	97	1	7	CARDINAL
ejpam-5597	97	2	1 4	CARDINAL
ejpam-5597	98	1	7	CARDINAL
ejpam-5597	98	2	max(a	ORG
ejpam-5597	98	3	2	CARDINAL
ejpam-5597	98	4	0	CARDINAL
ejpam-5597	99	1	a. al-natoor	PERSON
ejpam-5597	99	2	f. alrimawi	PERSON
ejpam-5597	100	1	j. pure	PERSON
ejpam-5597	100	2	18	CARDINAL
ejpam-5597	100	3	1	CARDINAL
ejpam-5597	100	4	2025	CARDINAL
ejpam-5597	100	5	5597 6	DATE
ejpam-5597	100	6	1 4	DATE
ejpam-5597	101	1	1 4	CARDINAL
ejpam-5597	101	2	5 8	DATE
ejpam-5597	101	3	+ 1 8	DATE
ejpam-5597	101	4	9	CARDINAL
ejpam-5597	102	1	5	CARDINAL
ejpam-5597	102	2	0	CARDINAL
ejpam-5597	103	1	10	CARDINAL
ejpam-5597	103	2	7	CARDINAL
ejpam-5597	103	3	10	CARDINAL
ejpam-5597	107	1	max	PERSON
ejpam-5597	107	2	max	PERSON
ejpam-5597	107	3	0	CARDINAL
ejpam-5597	107	4	max	PERSON
ejpam-5597	108	1	max	PERSON
ejpam-5597	108	2	max	PERSON
ejpam-5597	108	3	0	CARDINAL
ejpam-5597	111	1	first	ORDINAL
ejpam-5597	111	2	7	CARDINAL
ejpam-5597	112	1	10	CARDINAL
ejpam-5597	113	1	11	CARDINAL
ejpam-5597	113	2	second	ORDINAL
ejpam-5597	113	3	10	CARDINAL
ejpam-5597	113	4	11	CARDINAL
ejpam-5597	116	1	max	PERSON
ejpam-5597	116	2	2	CARDINAL
ejpam-5597	116	3	5 8	DATE
ejpam-5597	116	4	0	CARDINAL
ejpam-5597	118	1	a. al-natoor	PERSON
ejpam-5597	118	2	f. alrimawi	PERSON
ejpam-5597	119	1	j. pure	PERSON
ejpam-5597	119	2	18	CARDINAL
ejpam-5597	119	3	1	CARDINAL
ejpam-5597	119	4	2025	CARDINAL
ejpam-5597	119	5	5597 7	DATE
ejpam-5597	119	6	9	CARDINAL
ejpam-5597	120	1	9	CARDINAL
ejpam-5597	120	2	0	CARDINAL
ejpam-5597	121	1	5 8	DATE
ejpam-5597	121	2	+ 1 8	DATE
ejpam-5597	121	3	5 8	DATE
ejpam-5597	121	4	+ 1 8	DATE
ejpam-5597	121	5	5 8	DATE
ejpam-5597	121	6	+ 5 8	DATE
ejpam-5597	121	7	5 4 max	TIME
ejpam-5597	122	1	12	CARDINAL
ejpam-5597	122	2	6	CARDINAL
ejpam-5597	122	3	12	CARDINAL
ejpam-5597	122	4	first	ORDINAL
ejpam-5597	123	1	second	ORDINAL
ejpam-5597	123	2	10	CARDINAL
ejpam-5597	123	3	11	CARDINAL
ejpam-5597	125	1	2	CARDINAL
ejpam-5597	127	1	w	GPE
ejpam-5597	127	2	2	CARDINAL
ejpam-5597	128	1	13	CARDINAL
ejpam-5597	130	1	max	PERSON
ejpam-5597	131	1	1 2	DATE
ejpam-5597	132	1	c∗ b∗	PERSON
ejpam-5597	132	2	1 2	DATE
ejpam-5597	133	1	1 2	DATE
ejpam-5597	134	1	2	CARDINAL
ejpam-5597	135	1	2	CARDINAL
ejpam-5597	135	2	13	CARDINAL
ejpam-5597	135	3	2	CARDINAL
ejpam-5597	136	1	∥a∗a+	CARDINAL
ejpam-5597	136	2	∥a∗b	LOC
ejpam-5597	136	3	a. al-natoor	PERSON
ejpam-5597	136	4	f. alrimawi	PERSON
ejpam-5597	137	1	j. pure	PERSON
ejpam-5597	137	2	18	CARDINAL
ejpam-5597	137	3	1	CARDINAL
ejpam-5597	137	4	2025	CARDINAL
ejpam-5597	137	5	5597 8 of 9 3	DATE
ejpam-5597	149	1	10	CARDINAL
ejpam-5597	149	2	2024	DATE
ejpam-5597	150	1	2	CARDINAL
ejpam-5597	152	1	acta sci.	PERSON
ejpam-5597	153	1	szeged	ORG
ejpam-5597	153	2	2024	DATE
ejpam-5597	154	1	3	CARDINAL
ejpam-5597	154	2	a. al-natoor	PERSON
ejpam-5597	154	3	o. hirzallah	PERSON
ejpam-5597	154	4	f. kittaneh	PERSON
ejpam-5597	157	1	oper	PERSON
ejpam-5597	157	2	23	CARDINAL
ejpam-5597	157	3	2024	DATE
ejpam-5597	158	1	4	CARDINAL
ejpam-5597	158	2	a. al-natoor	PERSON
ejpam-5597	158	3	o. hirzallah	PERSON
ejpam-5597	158	4	f. kittaneh	PERSON
ejpam-5597	163	1	88:204–217	CARDINAL
ejpam-5597	163	2	2024	DATE
ejpam-5597	164	1	5	CARDINAL
ejpam-5597	164	2	a. al-natoor	PERSON
ejpam-5597	164	3	f. kittaneh	PERSON
ejpam-5597	166	1	26	CARDINAL
ejpam-5597	166	2	8	CARDINAL
ejpam-5597	166	3	11	CARDINAL
ejpam-5597	166	4	2022	CARDINAL
ejpam-5597	167	1	6	CARDINAL
ejpam-5597	167	2	a. al-natoor	PERSON
ejpam-5597	167	3	f. kittaneh	PERSON
ejpam-5597	169	1	linear multilinear	ORG
ejpam-5597	169	2	70:4498–4507	CARDINAL
ejpam-5597	169	3	2022	CARDINAL
ejpam-5597	170	1	7	CARDINAL
ejpam-5597	170	2	m.w.	GPE
ejpam-5597	170	3	alomari	PERSON
ejpam-5597	173	1	2021	CARDINAL
ejpam-5597	174	1	8	CARDINAL
ejpam-5597	176	1	j. math	PERSON
ejpam-5597	177	1	sci.	ORG
ejpam-5597	177	2	38:16–24	CARDINAL
ejpam-5597	177	3	2025	DATE
ejpam-5597	178	1	9	CARDINAL
ejpam-5597	178	2	f. alrimawi	PERSON
ejpam-5597	178	3	r. alkhateeb	PERSON
ejpam-5597	179	1	cartesian	NORP
ejpam-5597	180	1	j. math	PERSON
ejpam-5597	181	1	sci.	ORG
ejpam-5597	181	2	33:169–175	CARDINAL
ejpam-5597	181	3	2024	DATE
ejpam-5597	182	1	10	CARDINAL
ejpam-5597	182	2	f. alrimawi	PERSON
ejpam-5597	182	3	o. hirzallah	PERSON
ejpam-5597	182	4	f. kittaneh	PERSON
ejpam-5597	184	1	2023	CARDINAL
ejpam-5597	185	1	11	CARDINAL
ejpam-5597	185	2	f. alrimawi	PERSON
ejpam-5597	185	3	h. kawariq	PERSON
ejpam-5597	187	1	j. math	PERSON
ejpam-5597	188	1	sci.	ORG
ejpam-5597	188	2	32:257–262	DATE
ejpam-5597	188	3	2024	DATE
ejpam-5597	189	1	12	CARDINAL
ejpam-5597	189	2	f. alrimawi	PERSON
ejpam-5597	189	3	h. kawariq	PERSON
ejpam-5597	191	1	17:1463–1473	CARDINAL
ejpam-5597	191	2	2022	CARDINAL
ejpam-5597	192	1	a. al-natoor	PERSON
ejpam-5597	192	2	f. alrimawi	PERSON
ejpam-5597	193	1	j. pure	PERSON
ejpam-5597	193	2	18	CARDINAL
ejpam-5597	193	3	1	CARDINAL
ejpam-5597	193	4	2025	CARDINAL
ejpam-5597	193	5	5597 9 of 9	DATE
ejpam-5597	193	6	13	CARDINAL
ejpam-5597	193	7	a. benmakhlouf	PERSON
ejpam-5597	193	8	o. hirzallah	PERSON
ejpam-5597	193	9	f. kittaneh	PERSON
ejpam-5597	195	1	linear multilinear	ORG
ejpam-5597	195	2	69:2813–2829	CARDINAL
ejpam-5597	195	3	2021	CARDINAL
ejpam-5597	196	1	14	CARDINAL
ejpam-5597	196	2	k. paul	PERSON
ejpam-5597	198	1	linear multilinear	ORG
ejpam-5597	198	2	70:1995–2013	CARDINAL
ejpam-5597	198	3	2022	CARDINAL
ejpam-5597	199	1	15	CARDINAL
ejpam-5597	199	2	c. conde	PERSON
ejpam-5597	201	1	15:1289–1308	CARDINAL
ejpam-5597	201	2	2021	CARDINAL
ejpam-5597	202	1	16	CARDINAL
ejpam-5597	202	2	bourin	GPE
ejpam-5597	205	1	amer	PERSON
ejpam-5597	206	1	138:495–504, 2009	DATE
ejpam-5597	207	1	17	CARDINAL
ejpam-5597	207	2	o. hirzallah	PERSON
ejpam-5597	207	3	f. kittaneh	PERSON
ejpam-5597	207	4	k. shebrawi	PERSON
ejpam-5597	208	1	2	CARDINAL
ejpam-5597	210	1	71:129–147, 2011	DATE
ejpam-5597	211	1	18	CARDINAL
ejpam-5597	211	2	hou	PERSON
ejpam-5597	213	1	22:281–294, 1995	DATE
ejpam-5597	214	1	19	CARDINAL
ejpam-5597	214	2	f. kittaneh	PERSON
ejpam-5597	217	1	158:11–17	CARDINAL
ejpam-5597	217	2	2003	DATE
ejpam-5597	218	1	20	CARDINAL
ejpam-5597	218	2	m. sattari	PERSON
ejpam-5597	218	3	m.s. moslehian	PERSON
ejpam-5597	218	4	t. yamazaki	GPE
ejpam-5597	220	1	470:216–227	CARDINAL
ejpam-5597	220	2	2015	DATE
ejpam-5597	221	1	21	CARDINAL
ejpam-5597	222	1	k-p	ORG
ejpam-5597	224	1	european journal	ORG
ejpam-5597	224	2	16:503–522	DATE
ejpam-5597	224	3	2023	CARDINAL
ejpam-5597	225	1	22	CARDINAL
ejpam-5597	225	2	t. yamazaki	GPE
ejpam-5597	227	1	178:83–89, 2007	DATE