id	sid	eid	entity	type
ejpam-5009	1	1	european journal	ORG
ejpam-5009	2	1	17	CARDINAL
ejpam-5009	2	2	1	CARDINAL
ejpam-5009	2	3	2024	DATE
ejpam-5009	2	4	243	CARDINAL
ejpam-5009	2	5	1307-5543	CARDINAL
ejpam-5009	3	1	new york	GPE
ejpam-5009	3	2	feng zhang1,∗	PERSON
ejpam-5009	3	3	zhang2 1	ORG
ejpam-5009	3	4	southeast university	ORG
ejpam-5009	3	5	nanjing 210000	GPE
ejpam-5009	3	6	china 2	ORG
ejpam-5009	3	7	southeast university chengxian college	ORG
ejpam-5009	3	8	nanjing 210000	ORG
ejpam-5009	3	9	china	GPE
ejpam-5009	4	1	one	CARDINAL
ejpam-5009	5	1	2020	DATE
ejpam-5009	5	2	47a30	CARDINAL
ejpam-5009	5	3	15a42	DATE
ejpam-5009	5	4	majorization	ORG
ejpam-5009	5	5	1	CARDINAL
ejpam-5009	6	1	mn	ORG
ejpam-5009	8	1	∈	ORG
ejpam-5009	8	2	1 ≤ j ≤ n	QUANTITY
ejpam-5009	8	3	∈	ORG
ejpam-5009	11	1	sn	ORG
ejpam-5009	12	1	a∗a	ORG
ejpam-5009	12	2	1 2	CARDINAL
ejpam-5009	13	1	1	CARDINAL
ejpam-5009	13	2	2	CARDINAL
ejpam-5009	15	1	1 ≤ k ≤	QUANTITY
ejpam-5009	15	2	1	CARDINAL
ejpam-5009	16	1	1≤k≤n−1	DATE
ejpam-5009	16	2	2	CARDINAL
ejpam-5009	16	3	3	CARDINAL
ejpam-5009	18	1	f. zhang	PERSON
ejpam-5009	18	2	2153228327@qq.com	CARDINAL
ejpam-5009	18	3	c. zhang	PERSON
ejpam-5009	19	1	243	CARDINAL
ejpam-5009	19	2	2024	CARDINAL
ejpam-5009	20	1	f. zhang	PERSON
ejpam-5009	20	2	c. zhang	PERSON
ejpam-5009	21	1	j. pure	PERSON
ejpam-5009	21	2	17	CARDINAL
ejpam-5009	21	3	1	CARDINAL
ejpam-5009	21	4	2024	CARDINAL
ejpam-5009	21	5	243	CARDINAL
ejpam-5009	21	6	4	CARDINAL
ejpam-5009	21	7	only one	CARDINAL
ejpam-5009	22	1	− tra n ∣∣∣∣ ≤	PERSON
ejpam-5009	22	2	1 n	CARDINAL
ejpam-5009	22	3	1 2	CARDINAL
ejpam-5009	22	4	1	CARDINAL
ejpam-5009	22	5	1	CARDINAL
ejpam-5009	22	6	2	DATE
ejpam-5009	22	7	n. zou et al	PERSON
ejpam-5009	23	1	5	CARDINAL
ejpam-5009	23	2	− trm n	PERSON
ejpam-5009	23	3	− |trm	PERSON
ejpam-5009	23	4	1≤k≤n−1	DATE
ejpam-5009	24	1	2	CARDINAL
ejpam-5009	25	1	2	CARDINAL
ejpam-5009	25	2	ak xbk	PERSON
ejpam-5009	25	3	1 ≤ k ≤	QUANTITY
ejpam-5009	25	4	1	CARDINAL
ejpam-5009	29	1	1− x2	QUANTITY
ejpam-5009	29	2	n−k∥2f +	DATE
ejpam-5009	29	3	1− x−2	TIME
ejpam-5009	30	1	1 2	CARDINAL
ejpam-5009	31	1	1 2	CARDINAL
ejpam-5009	32	1	6	CARDINAL
ejpam-5009	32	2	wu et al	PERSON
ejpam-5009	33	1	1≤k≤n−1 √	DATE
ejpam-5009	33	2	1 n	CARDINAL
ejpam-5009	33	3	1 2	CARDINAL
ejpam-5009	33	4	3	CARDINAL
ejpam-5009	33	5	2	CARDINAL
ejpam-5009	34	1	2	CARDINAL
ejpam-5009	36	1	2	CARDINAL
ejpam-5009	37	1	1	CARDINAL
ejpam-5009	37	2	1	CARDINAL
ejpam-5009	37	3	2	DATE
ejpam-5009	37	4	n.	PERSON
ejpam-5009	39	1	1	CARDINAL
ejpam-5009	40	1	n ≥ 3	DATE
ejpam-5009	40	2	|λj(a)|2 −	GPE
ejpam-5009	41	1	1 2	CARDINAL
ejpam-5009	41	2	1	CARDINAL
ejpam-5009	41	3	2	DATE
ejpam-5009	41	4	s(a	PERSON
ejpam-5009	42	1	1≤l≤n	CARDINAL
ejpam-5009	42	2	max j	PERSON
ejpam-5009	43	1	f. zhang	PERSON
ejpam-5009	43	2	c. zhang	PERSON
ejpam-5009	44	1	j. pure	PERSON
ejpam-5009	44	2	17	CARDINAL
ejpam-5009	44	3	1	CARDINAL
ejpam-5009	44	4	2024	CARDINAL
ejpam-5009	44	5	243	CARDINAL
ejpam-5009	44	6	2	CARDINAL
ejpam-5009	45	1	|λj(a)|2 ≤	FAC
ejpam-5009	46	1	2	CARDINAL
ejpam-5009	46	2	2	CARDINAL
ejpam-5009	47	1	2.2	CARDINAL
ejpam-5009	47	2	6	CARDINAL
ejpam-5009	48	1	3	CARDINAL
ejpam-5009	51	1	m(x	NORP
ejpam-5009	53	1	m(x	PERSON
ejpam-5009	54	1	2	CARDINAL
ejpam-5009	55	1	4	CARDINAL
ejpam-5009	55	2	− |trm |2 n	PERSON
ejpam-5009	55	3	2	CARDINAL
ejpam-5009	56	1	1− x2	QUANTITY
ejpam-5009	56	2	n−k∥2f +	DATE
ejpam-5009	56	3	1− x−2	TIME
ejpam-5009	56	4	k∥2f	GPE
ejpam-5009	56	5	1 2	CARDINAL
ejpam-5009	57	1	5	CARDINAL
ejpam-5009	57	2	4	CARDINAL
ejpam-5009	57	3	5	CARDINAL
ejpam-5009	57	4	3	CARDINAL
ejpam-5009	59	1	1	CARDINAL
ejpam-5009	61	1	∣∣∣∣λl(m)− trm n ∣∣∣∣ ≤ min	PERSON
ejpam-5009	62	1	1≤k≤n−1 √	FAC
ejpam-5009	62	2	1 n	CARDINAL
ejpam-5009	62	3	1 2	CARDINAL
ejpam-5009	62	4	1 2	CARDINAL
ejpam-5009	62	5	1	CARDINAL
ejpam-5009	62	6	2	DATE
ejpam-5009	63	1	1≤l≤n	CARDINAL
ejpam-5009	63	2	246	CARDINAL
ejpam-5009	64	1	2.1	CARDINAL
ejpam-5009	64	2	2.3	CARDINAL
ejpam-5009	64	3	1 2	CARDINAL
ejpam-5009	64	4	 ≤	DATE
ejpam-5009	64	5	1 n	QUANTITY
ejpam-5009	64	6	1 2	CARDINAL
ejpam-5009	65	1	1≤k≤n−1	CARDINAL
ejpam-5009	65	2	1 n	CARDINAL
ejpam-5009	65	3	1 2	CARDINAL
ejpam-5009	66	1	therefore,∣∣∣∣λl(m)− trm	PERSON
ejpam-5009	66	2	1≤k≤n−1 √	FAC
ejpam-5009	66	3	1 n	CARDINAL
ejpam-5009	66	4	1 2	CARDINAL
ejpam-5009	66	5	1 2	CARDINAL
ejpam-5009	67	1	1≤l≤n	CARDINAL
ejpam-5009	69	1	n(n	ORG
ejpam-5009	69	2	2	CARDINAL
ejpam-5009	69	3	2.4	CARDINAL
ejpam-5009	69	4	2	CARDINAL
ejpam-5009	70	1	3	CARDINAL
ejpam-5009	71	1	2.4	CARDINAL
ejpam-5009	71	2	3	CARDINAL
ejpam-5009	72	1	3	CARDINAL
ejpam-5009	72	2	feng zhang	PERSON
ejpam-5009	72	3	the southeast university chengxian college young teacher research development fund projection	ORG
ejpam-5009	73	1	feng zhang	PERSON
ejpam-5009	73	2	shiyu xu	PERSON
ejpam-5009	74	1	1	CARDINAL
ejpam-5009	74	2	r. a. horn	PERSON
ejpam-5009	74	3	c. r. johnson	PERSON
ejpam-5009	75	1	1985	DATE
ejpam-5009	76	1	2	CARDINAL
ejpam-5009	76	2	r. bhatia	PERSON
ejpam-5009	76	3	2007	DATE
ejpam-5009	77	1	3	CARDINAL
ejpam-5009	77	2	b. tu	PERSON
ejpam-5009	80	1	j. fu dan univ.	PERSON
ejpam-5009	81	1	416–422, 1982	DATE
ejpam-5009	82	1	4	CARDINAL
ejpam-5009	85	1	sinica	ORG
ejpam-5009	85	2	501–511, 1994	DATE
ejpam-5009	86	1	247	CARDINAL
ejpam-5009	87	1	5	CARDINAL
ejpam-5009	87	2	l. zou	PERSON
ejpam-5009	87	3	y. jiang	PERSON
ejpam-5009	88	1	1203–1211, 2010	DATE
ejpam-5009	89	1	6	CARDINAL
ejpam-5009	89	2	j. wu	PERSON
ejpam-5009	89	3	j. zhao	PERSON
ejpam-5009	89	4	273–285	CARDINAL
ejpam-5009	89	5	2015	DATE
ejpam-5009	90	1	7	CARDINAL
ejpam-5009	90	2	i. h. gumus	PERSON
ejpam-5009	90	3	o. hirzallah	PERSON
ejpam-5009	90	4	f. kittaneh	PERSON
ejpam-5009	90	5	linear	ORG
ejpam-5009	90	6	892–906, 2014	DATE