id	sid	eid	entity	type
ejpam-5638	1	1	european journal	ORG
ejpam-5638	1	2	2025	DATE
ejpam-5638	1	3	18	CARDINAL
ejpam-5638	1	4	2	CARDINAL
ejpam-5638	1	5	5638	CARDINAL
ejpam-5638	1	6	1307-5543	DATE
ejpam-5638	1	7	new york	GPE
ejpam-5638	1	8	first	ORDINAL
ejpam-5638	1	9	second	ORDINAL
ejpam-5638	1	10	mutti-ur rehman1	ORG
ejpam-5638	1	11	salah h. alshabhi2	PERSON
ejpam-5638	1	12	om kalthum	PERSON
ejpam-5638	1	13	s. k. mohamed2	PERSON
ejpam-5638	1	14	mustafa m. mohammed2	PERSON
ejpam-5638	1	15	runda a. a. bashir2	PERSON
ejpam-5638	1	16	mona magzoub4	PERSON
ejpam-5638	1	17	sakeena e. m. hamed3	PERSON
ejpam-5638	1	18	a. abdalrahman3	PERSON
ejpam-5638	1	19	awad a. bakery2,5,∗	PERSON
ejpam-5638	1	20	1	CARDINAL
ejpam-5638	1	21	asia international university	ORG
ejpam-5638	1	22	74	DATE
ejpam-5638	1	23	bukhara	GPE
ejpam-5638	1	24	uzbekistan 2 university of jeddah	ORG
ejpam-5638	1	25	khulis	ORG
ejpam-5638	1	26	jeddah	GPE
ejpam-5638	1	27	saudi arabia	GPE
ejpam-5638	1	28	3	CARDINAL
ejpam-5638	1	29	university of jeddah	ORG
ejpam-5638	1	30	khulis	GPE
ejpam-5638	1	31	jeddah	GPE
ejpam-5638	1	32	saudi arabia	GPE
ejpam-5638	1	33	4	CARDINAL
ejpam-5638	1	34	university of jeddah	ORG
ejpam-5638	1	35	saudi arabia	GPE
ejpam-5638	1	36	5	CARDINAL
ejpam-5638	1	37	ain shams university	ORG
ejpam-5638	1	38	cairo	GPE
ejpam-5638	1	39	abbassia	GPE
ejpam-5638	1	40	egypt	GPE
ejpam-5638	3	1	half	CARDINAL
ejpam-5638	6	1	first	ORDINAL
ejpam-5638	6	2	second	ORDINAL
ejpam-5638	6	3	x(t	PERSON
ejpam-5638	7	1	d2 dt2	PERSON
ejpam-5638	7	2	x(t	PERSON
ejpam-5638	8	1	x(t	PERSON
ejpam-5638	12	1	2020	DATE
ejpam-5638	12	2	15a16	DATE
ejpam-5638	12	3	15a23	CARDINAL
ejpam-5638	13	1	aabhassan@uj.edu.sa	NORP
ejpam-5638	13	2	awad a. bakery	PERSON
ejpam-5638	14	1	1	CARDINAL
ejpam-5638	14	2	2025	CARDINAL
ejpam-5638	15	1	rehman et al	PERSON
ejpam-5638	16	1	j. pure	PERSON
ejpam-5638	16	2	18	CARDINAL
ejpam-5638	16	3	2	CARDINAL
ejpam-5638	16	4	2025	CARDINAL
ejpam-5638	16	5	2	CARDINAL
ejpam-5638	16	6	23 1	CARDINAL
ejpam-5638	17	1	linear	ORG
ejpam-5638	17	2	non-linear	ORG
ejpam-5638	24	1	first	ORDINAL
ejpam-5638	24	2	second	ORDINAL
ejpam-5638	27	1	∈	ORG
ejpam-5638	28	1	0	CARDINAL
ejpam-5638	29	1	jordan	GPE
ejpam-5638	31	1	second	ORDINAL
ejpam-5638	33	1	∈	ORG
ejpam-5638	34	1	second	ORDINAL
ejpam-5638	34	2	first	ORDINAL
ejpam-5638	35	1	2n	CARDINAL
ejpam-5638	35	2	o	DATE
ejpam-5638	36	1	second	ORDINAL
ejpam-5638	36	2	first	ORDINAL
ejpam-5638	36	3	1	CARDINAL
ejpam-5638	38	1	o	DATE
ejpam-5638	39	1	zero	CARDINAL
ejpam-5638	39	2	2	CARDINAL
ejpam-5638	40	1	2n	CARDINAL
ejpam-5638	40	2	3	CARDINAL
ejpam-5638	40	3	2n	CARDINAL
ejpam-5638	41	1	4	CARDINAL
ejpam-5638	42	1	5	CARDINAL
ejpam-5638	44	1	6	CARDINAL
ejpam-5638	45	1	rehman et al	PERSON
ejpam-5638	46	1	j. pure	PERSON
ejpam-5638	46	2	18	CARDINAL
ejpam-5638	46	3	2	CARDINAL
ejpam-5638	46	4	2025	CARDINAL
ejpam-5638	46	5	5638 3	DATE
ejpam-5638	46	6	7	CARDINAL
ejpam-5638	46	7	8	CARDINAL
ejpam-5638	48	1	9	CARDINAL
ejpam-5638	48	2	10	CARDINAL
ejpam-5638	49	1	11	CARDINAL
ejpam-5638	50	1	12	CARDINAL
ejpam-5638	51	1	13	CARDINAL
ejpam-5638	52	1	14	CARDINAL
ejpam-5638	55	1	first	ORDINAL
ejpam-5638	55	2	second	ORDINAL
ejpam-5638	61	1	linear	ORG
ejpam-5638	62	1	section 2	LAW
ejpam-5638	64	1	first	ORDINAL
ejpam-5638	64	2	section 3	DATE
ejpam-5638	66	1	m.u.r rehman et al	PERSON
ejpam-5638	67	1	j. pure	PERSON
ejpam-5638	67	2	18	CARDINAL
ejpam-5638	67	3	2	CARDINAL
ejpam-5638	67	4	2025	CARDINAL
ejpam-5638	67	5	4	CARDINAL
ejpam-5638	67	6	23 2	CARDINAL
ejpam-5638	70	1	fi,∀i	PERSON
ejpam-5638	72	1	1	CARDINAL
ejpam-5638	74	1	j ∂fi(x	PERSON
ejpam-5638	74	2	∂xj xiβ(t	PERSON
ejpam-5638	74	3	xi(t)− x̂i	GPE
ejpam-5638	74	4	1	CARDINAL
ejpam-5638	78	1	xn(t	PERSON
ejpam-5638	79	1	1	CARDINAL
ejpam-5638	79	2	jc =  ∂f1(x̂	PERSON
ejpam-5638	79	3	∂x1 ∂f1(x̂	PERSON
ejpam-5638	79	4	∂fn(x̂	NORP
ejpam-5638	83	1	x(t	PERSON
ejpam-5638	83	2	x(0	PERSON
ejpam-5638	84	1	x(t	PERSON
ejpam-5638	84	2	x0 ∈	ORG
ejpam-5638	84	3	∈	ORG
ejpam-5638	85	1	∈	ORG
ejpam-5638	86	1	â ∈ rn	PRODUCT
ejpam-5638	87	1	15	CARDINAL
ejpam-5638	87	2	dx	ORG
ejpam-5638	87	3	x.	EVENT
ejpam-5638	87	4	2	CARDINAL
ejpam-5638	88	1	x(t	PERSON
ejpam-5638	88	2	x(0	PERSON
ejpam-5638	89	1	rehman et al	PERSON
ejpam-5638	90	1	j. pure	PERSON
ejpam-5638	90	2	18	CARDINAL
ejpam-5638	90	3	2	CARDINAL
ejpam-5638	90	4	2025	CARDINAL
ejpam-5638	90	5	5638 5 of 23	DATE
ejpam-5638	90	6	â ∈ rn	PRODUCT
ejpam-5638	91	1	∈	ORG
ejpam-5638	91	2	∈	ORG
ejpam-5638	92	1	∈	ORG
ejpam-5638	93	1	d̂	NORP
ejpam-5638	94	1	3	CARDINAL
ejpam-5638	96	1	16	CARDINAL
ejpam-5638	96	2	∈	ORG
ejpam-5638	96	3	1	CARDINAL
ejpam-5638	98	1	2	CARDINAL
ejpam-5638	98	2	∈	ORG
ejpam-5638	102	1	3	CARDINAL
ejpam-5638	102	2	∈	ORG
ejpam-5638	102	3	17	CARDINAL
ejpam-5638	103	1	4	CARDINAL
ejpam-5638	104	1	∈	ORG
ejpam-5638	105	1	18	CARDINAL
ejpam-5638	105	2	19	CARDINAL
ejpam-5638	106	1	4.	CARDINAL
ejpam-5638	106	2	∈	ORG
ejpam-5638	106	3	∃	ORG
ejpam-5638	106	4	∈	ORG
ejpam-5638	108	1	0	CARDINAL
ejpam-5638	111	1	20–22	CARDINAL
ejpam-5638	112	1	∈	ORG
ejpam-5638	113	1	∈	ORG
ejpam-5638	113	2	zero	CARDINAL
ejpam-5638	114	1	23	CARDINAL
ejpam-5638	115	1	bij	ORG
ejpam-5638	118	1	1	CARDINAL
ejpam-5638	118	2	n. m.u.r	PERSON
ejpam-5638	120	1	j. pure	PERSON
ejpam-5638	120	2	18	CARDINAL
ejpam-5638	120	3	2	CARDINAL
ejpam-5638	120	4	2025	CARDINAL
ejpam-5638	120	5	5638 6	CARDINAL
ejpam-5638	120	6	23	CARDINAL
ejpam-5638	120	7	∈	ORG
ejpam-5638	120	8	24	CARDINAL
ejpam-5638	121	1	∈	ORG
ejpam-5638	121	2	bd−1	ORG
ejpam-5638	121	3	5	CARDINAL
ejpam-5638	122	1	re(λi(b	ORG
ejpam-5638	124	1	21	CARDINAL
ejpam-5638	124	2	25	CARDINAL
ejpam-5638	125	1	∈	ORG
ejpam-5638	125	2	0	CARDINAL
ejpam-5638	125	3	1	CARDINAL
ejpam-5638	125	4	n. theorem 1	ORG
ejpam-5638	126	1	16	CARDINAL
ejpam-5638	127	1	16	CARDINAL
ejpam-5638	128	1	2	CARDINAL
ejpam-5638	130	1	1	CARDINAL
ejpam-5638	131	1	2	CARDINAL
ejpam-5638	132	1	3	CARDINAL
ejpam-5638	133	1	4	CARDINAL
ejpam-5638	134	1	5	CARDINAL
ejpam-5638	135	1	6	CARDINAL
ejpam-5638	136	1	7	CARDINAL
ejpam-5638	137	1	8	CARDINAL
ejpam-5638	139	1	9	CARDINAL
ejpam-5638	140	1	2.1	CARDINAL
ejpam-5638	142	1	∈	PRODUCT
ejpam-5638	142	2	r(or	PERSON
ejpam-5638	142	3	∈ ∆̂	PERSON
ejpam-5638	143	1	∆̂	PERSON
ejpam-5638	143	2	∆̂	PERSON
ejpam-5638	147	1	∈	ORG
ejpam-5638	147	2	1	CARDINAL
ejpam-5638	147	3	∆j ∈ kmj	PERSON
ejpam-5638	147	4	1	CARDINAL
ejpam-5638	149	1	1	CARDINAL
ejpam-5638	151	1	rehman et al	PERSON
ejpam-5638	152	1	j. pure	PERSON
ejpam-5638	152	2	18	CARDINAL
ejpam-5638	152	3	2	CARDINAL
ejpam-5638	152	4	2025	CARDINAL
ejpam-5638	152	5	7	CARDINAL
ejpam-5638	152	6	23	CARDINAL
ejpam-5638	152	7	1	CARDINAL
ejpam-5638	153	1	26	CARDINAL
ejpam-5638	153	2	∈ km	PERSON
ejpam-5638	153	3	∆̂	PERSON
ejpam-5638	153	4	0	CARDINAL
ejpam-5638	153	5	∈	ORG
ejpam-5638	154	1	2.1.1	CARDINAL
ejpam-5638	155	1	1	CARDINAL
ejpam-5638	156	1	2.	CARDINAL
ejpam-5638	156	2	1	CARDINAL
ejpam-5638	156	3	3	CARDINAL
ejpam-5638	158	1	4.	CARDINAL
ejpam-5638	158	2	∈	ORG
ejpam-5638	159	1	1	CARDINAL
ejpam-5638	160	1	26	CARDINAL
ejpam-5638	160	2	∈ kn	PERSON
ejpam-5638	160	3	max	PERSON
ejpam-5638	160	4	max	PERSON
ejpam-5638	160	5	∆̂	PERSON
ejpam-5638	160	6	σmax(∆	ORG
ejpam-5638	160	7	≤ 1	CARDINAL
ejpam-5638	160	8	max	PERSON
ejpam-5638	161	1	6	CARDINAL
ejpam-5638	162	1	max	PERSON
ejpam-5638	163	1	1	CARDINAL
ejpam-5638	163	2	0	CARDINAL
ejpam-5638	163	3	r1 = n	PERSON
ejpam-5638	163	4	ρ(m	WORK_OF_ART
ejpam-5638	163	5	∆̂	PERSON
ejpam-5638	164	1	0	CARDINAL
ejpam-5638	164	2	1	CARDINAL
ejpam-5638	165	1	∈ kn	PERSON
ejpam-5638	165	2	ρ(m	WORK_OF_ART
ejpam-5638	166	1	m.u.r rehman et al	PERSON
ejpam-5638	167	1	j. pure	PERSON
ejpam-5638	167	2	18	CARDINAL
ejpam-5638	167	3	2	CARDINAL
ejpam-5638	167	4	2025	CARDINAL
ejpam-5638	167	5	5638 8	DATE
ejpam-5638	168	1	first	ORDINAL
ejpam-5638	168	2	second	ORDINAL
ejpam-5638	168	3	first	ORDINAL
ejpam-5638	168	4	second	ORDINAL
ejpam-5638	171	1	3.1	CARDINAL
ejpam-5638	171	2	first	ORDINAL
ejpam-5638	171	3	first	ORDINAL
ejpam-5638	171	4	∈	ORG
ejpam-5638	172	1	∈	ORG
ejpam-5638	172	2	3	CARDINAL
ejpam-5638	173	1	3	CARDINAL
ejpam-5638	174	1	first	ORDINAL
ejpam-5638	176	1	0	CARDINAL
ejpam-5638	176	2	µi(a),∀i	PERSON
ejpam-5638	180	1	0	CARDINAL
ejpam-5638	180	2	0	CARDINAL
ejpam-5638	181	1	re(λ1(a	GPE
ejpam-5638	182	1	0	CARDINAL
ejpam-5638	184	1	aij	ORG
ejpam-5638	185	1	xj	ORG
ejpam-5638	185	2	0	CARDINAL
ejpam-5638	186	1	aij v⃗iv⃗j =	PERSON
ejpam-5638	187	1	aij v⃗iv⃗j	PERSON
ejpam-5638	187	2	aijxixj	PERSON
ejpam-5638	188	1	xj	ORG
ejpam-5638	189	1	0	CARDINAL
ejpam-5638	189	2	aij	ORG
ejpam-5638	190	1	0	CARDINAL
ejpam-5638	190	2	0	CARDINAL
ejpam-5638	192	1	aij	PERSON
ejpam-5638	192	2	aijv ∗	PERSON
ejpam-5638	194	1	0	CARDINAL
ejpam-5638	195	1	m.u.r rehman et al	PERSON
ejpam-5638	196	1	j. pure	PERSON
ejpam-5638	196	2	18	CARDINAL
ejpam-5638	196	3	2	CARDINAL
ejpam-5638	196	4	2025	CARDINAL
ejpam-5638	196	5	5638 9	DATE
ejpam-5638	196	6	23	CARDINAL
ejpam-5638	196	7	4	CARDINAL
ejpam-5638	196	8	first	ORDINAL
ejpam-5638	198	1	4	CARDINAL
ejpam-5638	200	1	0	CARDINAL
ejpam-5638	200	2	iff re(λi(a	ORG
ejpam-5638	203	1	0	CARDINAL
ejpam-5638	203	2	∈	ORG
ejpam-5638	205	1	− ytax	PERSON
ejpam-5638	206	1	0	CARDINAL
ejpam-5638	209	1	0	CARDINAL
ejpam-5638	209	2	5	CARDINAL
ejpam-5638	209	3	first	ORDINAL
ejpam-5638	210	1	∈	ORG
ejpam-5638	210	2	a. theorem 5	ORG
ejpam-5638	214	1	0	CARDINAL
ejpam-5638	216	1	∈	ORG
ejpam-5638	218	1	vi ∈ cn,1,∀i	PERSON
ejpam-5638	219	1	0	CARDINAL
ejpam-5638	220	1	only one	CARDINAL
ejpam-5638	225	1	x∗uλu∗x	DATE
ejpam-5638	228	1	0	CARDINAL
ejpam-5638	229	1	0	CARDINAL
ejpam-5638	230	1	6	CARDINAL
ejpam-5638	230	2	first	ORDINAL
ejpam-5638	233	1	6	CARDINAL
ejpam-5638	235	1	∈	ORG
ejpam-5638	235	2	0	CARDINAL
ejpam-5638	236	1	1	CARDINAL
ejpam-5638	236	2	n. m.u.r rehman et al	PERSON
ejpam-5638	237	1	j. pure	PERSON
ejpam-5638	237	2	18	CARDINAL
ejpam-5638	237	3	2	CARDINAL
ejpam-5638	237	4	2025	CARDINAL
ejpam-5638	237	5	5638 10	DATE
ejpam-5638	237	6	23	CARDINAL
ejpam-5638	239	1	1	CARDINAL
ejpam-5638	241	1	jordan	GPE
ejpam-5638	242	1	1	CARDINAL
ejpam-5638	242	2	0	CARDINAL
ejpam-5638	242	3	1	CARDINAL
ejpam-5638	242	4	0 1	CARDINAL
ejpam-5638	244	1	∈	ORG
ejpam-5638	245	1	y(t	GPE
ejpam-5638	246	1	ejty0	PERSON
ejpam-5638	248	1	jordan	GPE
ejpam-5638	248	2	1	CARDINAL
ejpam-5638	249	1	0	CARDINAL
ejpam-5638	249	2	0	CARDINAL
ejpam-5638	249	3	1	CARDINAL
ejpam-5638	249	4	m. since	PERSON
ejpam-5638	249	5	1	CARDINAL
ejpam-5638	249	6	2	CARDINAL
ejpam-5638	250	1	2	CARDINAL
ejpam-5638	251	1	rehman et al	PERSON
ejpam-5638	252	1	j. pure	PERSON
ejpam-5638	252	2	18	CARDINAL
ejpam-5638	252	3	2	CARDINAL
ejpam-5638	252	4	2025	CARDINAL
ejpam-5638	252	5	5638 11	DATE
ejpam-5638	252	6	23	CARDINAL
ejpam-5638	252	7	βi−1 +	DATE
ejpam-5638	255	1	1	CARDINAL
ejpam-5638	255	2	−µy	ORG
ejpam-5638	255	3	−µy	ORG
ejpam-5638	256	1	−µy	ORG
ejpam-5638	256	2	0	CARDINAL
ejpam-5638	257	1	0	CARDINAL
ejpam-5638	257	2	1	CARDINAL
ejpam-5638	258	1	0	CARDINAL
ejpam-5638	259	1	0	CARDINAL
ejpam-5638	260	1	ŷ	GPE
ejpam-5638	260	2	q̂	CARDINAL
ejpam-5638	260	3	0	CARDINAL
ejpam-5638	260	4	ŷ	GPE
ejpam-5638	260	5	0	CARDINAL
ejpam-5638	260	6	γ ̸=	ORG
ejpam-5638	260	7	0	CARDINAL
ejpam-5638	262	1	0	CARDINAL
ejpam-5638	263	1	0	CARDINAL
ejpam-5638	263	2	7	CARDINAL
ejpam-5638	265	1	∈	ORG
ejpam-5638	265	2	0	CARDINAL
ejpam-5638	265	3	1	CARDINAL
ejpam-5638	271	1	one	CARDINAL
ejpam-5638	272	1	iin	ORG
ejpam-5638	272	2	iin	PERSON
ejpam-5638	276	1	d̂	GPE
ejpam-5638	279	1	0	CARDINAL
ejpam-5638	280	1	−1	DATE
ejpam-5638	280	2	1	CARDINAL
ejpam-5638	280	3	1−	ORDINAL
ejpam-5638	280	4	1−	ORDINAL
ejpam-5638	280	5	−1	DATE
ejpam-5638	282	1	rehman et al	PERSON
ejpam-5638	283	1	j. pure	PERSON
ejpam-5638	283	2	18	CARDINAL
ejpam-5638	283	3	2	CARDINAL
ejpam-5638	283	4	2025	CARDINAL
ejpam-5638	283	5	5638 12	DATE
ejpam-5638	283	6	23	CARDINAL
ejpam-5638	285	1	k=1	PERSON
ejpam-5638	286	1	0	CARDINAL
ejpam-5638	286	2	∀k	DATE
ejpam-5638	290	1	ad−1	GPE
ejpam-5638	292	1	k=1	PERSON
ejpam-5638	295	1	k=1	PERSON
ejpam-5638	296	1	k=1 λk(d	PERSON
ejpam-5638	297	1	k=1 λk(a+da−1d	PERSON
ejpam-5638	300	1	0	CARDINAL
ejpam-5638	301	1	∀ k	PERSON
ejpam-5638	301	2	3.2	CARDINAL
ejpam-5638	302	1	second	ORDINAL
ejpam-5638	302	2	27	CARDINAL
ejpam-5638	304	1	1	CARDINAL
ejpam-5638	305	1	9	CARDINAL
ejpam-5638	306	1	27	CARDINAL
ejpam-5638	306	2	∈	ORG
ejpam-5638	306	3	0 ≤ µ∆̂((iin +	QUANTITY
ejpam-5638	308	1	1	CARDINAL
ejpam-5638	308	2	27	CARDINAL
ejpam-5638	309	1	10	CARDINAL
ejpam-5638	310	1	27	CARDINAL
ejpam-5638	312	1	0	CARDINAL
ejpam-5638	312	2	∃	ORG
ejpam-5638	312	3	0	CARDINAL
ejpam-5638	313	1	0 ≤	MONEY
ejpam-5638	313	2	1	CARDINAL
ejpam-5638	313	3	iin	ORG
ejpam-5638	314	1	2i(iin	CARDINAL
ejpam-5638	315	1	ε(iin	ORG
ejpam-5638	315	2	−ε(iin +	GPE
ejpam-5638	316	1	m.u.r rehman et al	PERSON
ejpam-5638	317	1	j. pure	PERSON
ejpam-5638	317	2	18	CARDINAL
ejpam-5638	317	3	2	CARDINAL
ejpam-5638	317	4	2025	CARDINAL
ejpam-5638	317	5	5638 13	DATE
ejpam-5638	317	6	23	CARDINAL
ejpam-5638	317	7	2	CARDINAL
ejpam-5638	318	1	28	CARDINAL
ejpam-5638	318	2	m11 m12 m21 m22	ORG
ejpam-5638	319	1	22	CARDINAL
ejpam-5638	319	2	22	CARDINAL
ejpam-5638	319	3	∃	ORG
ejpam-5638	319	4	0	CARDINAL
ejpam-5638	319	5	∈	ORG
ejpam-5638	320	1	22	CARDINAL
ejpam-5638	321	1	22	CARDINAL
ejpam-5638	321	2	7	CARDINAL
ejpam-5638	322	1	22	CARDINAL
ejpam-5638	322	2	schur complement	ORG
ejpam-5638	322	3	22	CARDINAL
ejpam-5638	322	4	−1 11	DATE
ejpam-5638	323	1	8	CARDINAL
ejpam-5638	324	1	29	CARDINAL
ejpam-5638	324	2	30	CARDINAL
ejpam-5638	325	1	1	CARDINAL
ejpam-5638	325	2	11	CARDINAL
ejpam-5638	325	3	second	ORDINAL
ejpam-5638	326	1	o	DATE
ejpam-5638	326	2	1	CARDINAL
ejpam-5638	327	1	11	CARDINAL
ejpam-5638	329	1	o	DATE
ejpam-5638	329	2	0 ≤	MONEY
ejpam-5638	329	3	o	DATE
ejpam-5638	330	1	1	CARDINAL
ejpam-5638	331	1	o	DATE
ejpam-5638	331	2	0 ≤	MONEY
ejpam-5638	331	3	o	DATE
ejpam-5638	332	1	1	CARDINAL
ejpam-5638	332	2	31	CARDINAL
ejpam-5638	332	3	o	DATE
ejpam-5638	332	4	o	DATE
ejpam-5638	332	5	0	CARDINAL
ejpam-5638	334	1	o	DATE
ejpam-5638	338	1	2	CARDINAL
ejpam-5638	339	1	m.u.r rehman et al	PERSON
ejpam-5638	340	1	j. pure	PERSON
ejpam-5638	340	2	18	CARDINAL
ejpam-5638	340	3	2	CARDINAL
ejpam-5638	340	4	2025	CARDINAL
ejpam-5638	340	5	14	CARDINAL
ejpam-5638	340	6	23	CARDINAL
ejpam-5638	340	7	2	CARDINAL
ejpam-5638	341	1	i=1 λi(in	PERSON
ejpam-5638	343	1	i=1 λi(in	PERSON
ejpam-5638	345	1	o	DATE
ejpam-5638	346	1	1	CARDINAL
ejpam-5638	346	2	3	CARDINAL
ejpam-5638	349	1	∈	ORG
ejpam-5638	349	2	aii	ORG
ejpam-5638	349	3	1	CARDINAL
ejpam-5638	349	4	o	DATE
ejpam-5638	349	5	0 ≤	MONEY
ejpam-5638	350	1	o	DATE
ejpam-5638	351	1	1	CARDINAL
ejpam-5638	352	1	o	DATE
ejpam-5638	352	2	0 ≤	MONEY
ejpam-5638	352	3	o	DATE
ejpam-5638	353	1	1	CARDINAL
ejpam-5638	353	2	o	DATE
ejpam-5638	353	3	o	DATE
ejpam-5638	353	4	0	CARDINAL
ejpam-5638	354	1	o	DATE
ejpam-5638	358	1	2	CARDINAL
ejpam-5638	358	2	∀p ∈	ORG
ejpam-5638	358	3	2	CARDINAL
ejpam-5638	358	4	i=1 λi(in	PERSON
ejpam-5638	361	1	o	DATE
ejpam-5638	363	1	o	DATE
ejpam-5638	363	2	1	CARDINAL
ejpam-5638	363	3	12	CARDINAL
ejpam-5638	363	4	second	ORDINAL
ejpam-5638	363	5	o	DATE
ejpam-5638	363	6	1	CARDINAL
ejpam-5638	364	1	m.u.r rehman et al	PERSON
ejpam-5638	365	1	j. pure	PERSON
ejpam-5638	365	2	18	CARDINAL
ejpam-5638	365	3	2	CARDINAL
ejpam-5638	365	4	2025	CARDINAL
ejpam-5638	365	5	5638 15	DATE
ejpam-5638	365	6	23	CARDINAL
ejpam-5638	365	7	12	CARDINAL
ejpam-5638	368	1	o	DATE
ejpam-5638	368	2	0 ≤	MONEY
ejpam-5638	368	3	1	CARDINAL
ejpam-5638	368	4	iin	ORG
ejpam-5638	369	1	o	DATE
ejpam-5638	370	1	o	DATE
ejpam-5638	370	2	−1	DATE
ejpam-5638	370	3	iin	ORG
ejpam-5638	371	1	o	DATE
ejpam-5638	372	1	o	DATE
ejpam-5638	375	1	o	DATE
ejpam-5638	376	1	o	DATE
ejpam-5638	377	1	0	CARDINAL
ejpam-5638	377	2	31	CARDINAL
ejpam-5638	378	1	o	DATE
ejpam-5638	379	1	1	CARDINAL
ejpam-5638	379	2	iin	ORG
ejpam-5638	382	1	iin	ORG
ejpam-5638	383	1	o	DATE
ejpam-5638	383	2	−1	DATE
ejpam-5638	383	3	∈ ∆̂	PRODUCT
ejpam-5638	384	1	o	DATE
ejpam-5638	386	1	o	DATE
ejpam-5638	387	1	ip11 o o ip22	ORG
ejpam-5638	388	1	∆̂	PERSON
ejpam-5638	389	1	o	DATE
ejpam-5638	391	1	iin	ORG
ejpam-5638	392	1	iin	ORG
ejpam-5638	394	1	∆̂	PERSON
ejpam-5638	394	2	iin	ORG
ejpam-5638	395	1	o	DATE
ejpam-5638	396	1	o	DATE
ejpam-5638	397	1	iin	ORG
ejpam-5638	398	1	rehman et al	PERSON
ejpam-5638	399	1	j. pure	PERSON
ejpam-5638	399	2	18	CARDINAL
ejpam-5638	399	3	2	CARDINAL
ejpam-5638	399	4	2025	CARDINAL
ejpam-5638	399	5	5638 16	CARDINAL
ejpam-5638	399	6	23	CARDINAL
ejpam-5638	399	7	o	DATE
ejpam-5638	400	1	o	DATE
ejpam-5638	403	1	o o	DATE
ejpam-5638	404	1	iin	ORG
ejpam-5638	405	1	o	DATE
ejpam-5638	405	2	o o	DATE
ejpam-5638	406	1	o	DATE
ejpam-5638	406	2	−1	DATE
ejpam-5638	406	3	iin	ORG
ejpam-5638	407	1	o	DATE
ejpam-5638	408	1	o	DATE
ejpam-5638	410	1	less than 1	CARDINAL
ejpam-5638	412	1	13	CARDINAL
ejpam-5638	413	1	∈	ORG
ejpam-5638	413	2	o	DATE
ejpam-5638	413	3	0 ≤	MONEY
ejpam-5638	413	4	1	CARDINAL
ejpam-5638	413	5	iin	ORG
ejpam-5638	414	1	o	DATE
ejpam-5638	414	2	−1	DATE
ejpam-5638	414	3	iin	ORG
ejpam-5638	415	1	o	DATE
ejpam-5638	417	1	o	DATE
ejpam-5638	417	2	o	DATE
ejpam-5638	419	1	o	DATE
ejpam-5638	421	1	iin	ORG
ejpam-5638	423	1	iin	ORG
ejpam-5638	424	1	o	DATE
ejpam-5638	424	2	∈	ORG
ejpam-5638	425	1	iin	ORG
ejpam-5638	426	1	−1	DATE
ejpam-5638	426	2	iin	ORG
ejpam-5638	428	1	m.u.r rehman et al	PERSON
ejpam-5638	429	1	j. pure	PERSON
ejpam-5638	429	2	18	CARDINAL
ejpam-5638	429	3	2	CARDINAL
ejpam-5638	429	4	2025	CARDINAL
ejpam-5638	429	5	5638 17	DATE
ejpam-5638	429	6	23	CARDINAL
ejpam-5638	429	7	ain	PERSON
ejpam-5638	430	1	iin	ORG
ejpam-5638	431	1	−1	DATE
ejpam-5638	431	2	iin	ORG
ejpam-5638	434	1	iin	ORG
ejpam-5638	435	1	−1	DATE
ejpam-5638	435	2	iin	ORG
ejpam-5638	437	1	∆̂	PERSON
ejpam-5638	437	2	o o	DATE
ejpam-5638	438	1	iin	ORG
ejpam-5638	439	1	o	DATE
ejpam-5638	439	2	−1	DATE
ejpam-5638	439	3	iin	ORG
ejpam-5638	440	1	o	DATE
ejpam-5638	442	1	less than 1	CARDINAL
ejpam-5638	442	2	3.3	CARDINAL
ejpam-5638	444	1	||a−1||	ORG
ejpam-5638	447	1	32	CARDINAL
ejpam-5638	448	1	2	CARDINAL
ejpam-5638	448	2	0	CARDINAL
ejpam-5638	450	1	||(λin −a)−1|| > 1	PERSON
ejpam-5638	451	1	4	CARDINAL
ejpam-5638	452	1	λ ∈ σ(a	ORG
ejpam-5638	452	2	σ(a	ORG
ejpam-5638	452	3	||(λin−a)−1|| = ∞.	PERSON
ejpam-5638	452	4	second	ORDINAL
ejpam-5638	453	1	3	CARDINAL
ejpam-5638	454	1	0	CARDINAL
ejpam-5638	456	1	∈	ORG
ejpam-5638	456	2	||e||	GPE
ejpam-5638	456	3	third	ORDINAL
ejpam-5638	457	1	4	CARDINAL
ejpam-5638	458	1	0	CARDINAL
ejpam-5638	460	1	∈	ORG
ejpam-5638	460	2	||v|| = 1	LAW
ejpam-5638	461	1	rehman et al	PERSON
ejpam-5638	462	1	j. pure	PERSON
ejpam-5638	462	2	18	CARDINAL
ejpam-5638	462	3	2	CARDINAL
ejpam-5638	462	4	2025	CARDINAL
ejpam-5638	462	5	5638 18	DATE
ejpam-5638	464	1	33	CARDINAL
ejpam-5638	465	1	34	CARDINAL
ejpam-5638	466	1	35	CARDINAL
ejpam-5638	466	2	non-linear	ORG
ejpam-5638	466	3	nla	WORK_OF_ART
ejpam-5638	467	1	36	CARDINAL
ejpam-5638	467	2	first	ORDINAL
ejpam-5638	467	3	37	CARDINAL
ejpam-5638	469	1	38	CARDINAL
ejpam-5638	472	1	numerics	ORG
ejpam-5638	475	1	svd	PRODUCT
ejpam-5638	481	1	1	CARDINAL
ejpam-5638	481	2	first	ORDINAL
ejpam-5638	482	1	4	CARDINAL
ejpam-5638	482	2	39	CARDINAL
ejpam-5638	484	1	2 2 1	DATE
ejpam-5638	485	1	1	CARDINAL
ejpam-5638	486	1	mussv pa gba	GPE
ejpam-5638	486	2	nla	PERSON
ejpam-5638	486	3	8.6448	CARDINAL
ejpam-5638	486	4	8.6448	MONEY
ejpam-5638	486	5	2	CARDINAL
ejpam-5638	486	6	first	ORDINAL
ejpam-5638	487	1	3	CARDINAL
ejpam-5638	487	2	39	CARDINAL
ejpam-5638	488	1	0 1 −2 1	MONEY
ejpam-5638	488	2	2	CARDINAL
ejpam-5638	489	1	m.u.r rehman et al	PERSON
ejpam-5638	490	1	j. pure	PERSON
ejpam-5638	490	2	18	CARDINAL
ejpam-5638	490	3	2	CARDINAL
ejpam-5638	490	4	2025	CARDINAL
ejpam-5638	490	5	5638 19	DATE
ejpam-5638	490	6	23	CARDINAL
ejpam-5638	490	7	2	CARDINAL
ejpam-5638	491	1	mussv pa gba	GPE
ejpam-5638	491	2	nla	PERSON
ejpam-5638	491	3	3.3145	ORG
ejpam-5638	491	4	3.3120	CARDINAL
ejpam-5638	491	5	3	CARDINAL
ejpam-5638	492	1	second	ORDINAL
ejpam-5638	494	1	3	CARDINAL
ejpam-5638	495	1	1	CARDINAL
ejpam-5638	495	2	2	CARDINAL
ejpam-5638	496	1	−0.1	ORG
ejpam-5638	496	2	−0.1	ORG
ejpam-5638	497	1	2	CARDINAL
ejpam-5638	497	2	−0.1	ORG
ejpam-5638	498	1	−0.1	ORG
ejpam-5638	498	2	1	CARDINAL
ejpam-5638	499	1	3	CARDINAL
ejpam-5638	500	1	mussv pa gba	GPE
ejpam-5638	500	2	nla	PERSON
ejpam-5638	500	3	8.4940	MONEY
ejpam-5638	500	4	8.9821	CARDINAL
ejpam-5638	500	5	9.9838	MONEY
ejpam-5638	500	6	4	CARDINAL
ejpam-5638	501	1	second	ORDINAL
ejpam-5638	503	1	3	CARDINAL
ejpam-5638	504	1	0.9 0.2 0.6	QUANTITY
ejpam-5638	504	2	0.9	CARDINAL
ejpam-5638	504	3	0	CARDINAL
ejpam-5638	504	4	0	CARDINAL
ejpam-5638	505	1	0.9 0.2	MONEY
ejpam-5638	505	2	0.9	CARDINAL
ejpam-5638	505	3	−1	DATE
ejpam-5638	505	4	0 1 1 −2	MONEY
ejpam-5638	506	1	1	CARDINAL
ejpam-5638	507	1	4	CARDINAL
ejpam-5638	508	1	m.u.r rehman et al	PERSON
ejpam-5638	509	1	j. pure	PERSON
ejpam-5638	509	2	18	CARDINAL
ejpam-5638	509	3	2	CARDINAL
ejpam-5638	509	4	2025	CARDINAL
ejpam-5638	509	5	5638 20	CARDINAL
ejpam-5638	509	6	mussv pa gba	GPE
ejpam-5638	509	7	nla	PERSON
ejpam-5638	509	8	3.4352	CARDINAL
ejpam-5638	509	9	3.4350 5	DATE
ejpam-5638	513	1	first	ORDINAL
ejpam-5638	513	2	second	ORDINAL
ejpam-5638	529	1	rehman et al	PERSON
ejpam-5638	530	1	j. pure	PERSON
ejpam-5638	530	2	18	CARDINAL
ejpam-5638	530	3	2	CARDINAL
ejpam-5638	530	4	2025	CARDINAL
ejpam-5638	530	5	5638 21	DATE
ejpam-5638	530	6	23	CARDINAL
ejpam-5638	532	1	1	CARDINAL
ejpam-5638	532	2	j. nieuwenhuis	PERSON
ejpam-5638	532	3	lambert schoonbeek	PERSON
ejpam-5638	534	1	353(1	CARDINAL
ejpam-5638	534	2	2002	DATE
ejpam-5638	535	1	2	CARDINAL
ejpam-5638	535	2	y. murata.	PERSON
ejpam-5638	537	1	new york	GPE
ejpam-5638	537	2	1977	DATE
ejpam-5638	538	1	3	CARDINAL
ejpam-5638	538	2	h. j. nieuwenhuis	PERSON
ejpam-5638	538	3	l. schoonbeek	PERSON
ejpam-5638	540	1	258:195–217, 1997	DATE
ejpam-5638	541	1	4	CARDINAL
ejpam-5638	541	2	john doyle	PERSON
ejpam-5638	543	1	1982	DATE
ejpam-5638	544	1	5	CARDINAL
ejpam-5638	544	2	j. lee	PERSON
ejpam-5638	544	3	t. f. edgar	PERSON
ejpam-5638	546	1	44(4):273–277, 2001	DATE
ejpam-5638	547	1	6	CARDINAL
ejpam-5638	547	2	m. young	PERSON
ejpam-5638	547	3	j. c. doyle	PERSON
ejpam-5638	547	4	m. morari	PERSON
ejpam-5638	549	1	39(5):1000–1002, 1994	DATE
ejpam-5638	550	1	7	CARDINAL
ejpam-5638	550	2	r. r. e. de gaston	PERSON
ejpam-5638	550	3	m. g. safonov	PERSON
ejpam-5638	552	1	33(2):156–171, 1988	DATE
ejpam-5638	553	1	8	CARDINAL
ejpam-5638	553	2	m. p. newlin	PERSON
ejpam-5638	553	3	p. m. young	PERSON
ejpam-5638	555	1	7(2):145–164, 1997	DATE
ejpam-5638	556	1	9	CARDINAL
ejpam-5638	556	2	m. k. h. fan	PERSON
ejpam-5638	556	3	a. l.	PERSON
ejpam-5638	556	4	j. c. doyle	PERSON
ejpam-5638	558	1	36(1):25–38	CARDINAL
ejpam-5638	558	2	1991	DATE
ejpam-5638	559	1	10	CARDINAL
ejpam-5638	559	2	g. j. balas	PERSON
ejpam-5638	559	3	j. c. doyle	PERSON
ejpam-5638	559	4	k. glover	PERSON
ejpam-5638	559	5	a. packard	PERSON
ejpam-5638	559	6	r. smith	PERSON
ejpam-5638	561	1	mathworks	PERSON
ejpam-5638	561	2	natick	GPE
ejpam-5638	561	3	ma, 1995	ORG
ejpam-5638	562	1	11	CARDINAL
ejpam-5638	562	2	m. young	PERSON
ejpam-5638	562	3	m. p. newlin	PERSON
ejpam-5638	562	4	j. c. doyle	PERSON
ejpam-5638	564	1	american	NORP
ejpam-5638	564	2	2190–2194, 1992	DATE
ejpam-5638	565	1	12	CARDINAL
ejpam-5638	565	2	rehman	PERSON
ejpam-5638	565	3	shadiyev	ORG
ejpam-5638	567	1	asia pacific journal of mathematics	ORG
ejpam-5638	567	2	2024	DATE
ejpam-5638	568	1	13	CARDINAL
ejpam-5638	570	1	2024	DATE
ejpam-5638	571	1	14	CARDINAL
ejpam-5638	571	2	rehman et al	PERSON
ejpam-5638	572	1	38(3):298–312	DATE
ejpam-5638	572	2	2025	DATE
ejpam-5638	573	1	15	CARDINAL
ejpam-5638	573	2	pawan goyal	PERSON
ejpam-5638	573	3	peter benner	PERSON
ejpam-5638	574	1	inference of continuous linear systems	ORG
ejpam-5638	575	1	arxiv preprint arxiv:2301.10060	ORG
ejpam-5638	575	2	2023	CARDINAL
ejpam-5638	576	1	16	CARDINAL
ejpam-5638	576	2	charles r. johnson	PERSON
ejpam-5638	578	1	9(1):53–62, 1974	DATE
ejpam-5638	579	1	m.u.r rehman et al	PERSON
ejpam-5638	580	1	j. pure	PERSON
ejpam-5638	580	2	18	CARDINAL
ejpam-5638	580	3	2	CARDINAL
ejpam-5638	580	4	2025	CARDINAL
ejpam-5638	580	5	5638 22	CARDINAL
ejpam-5638	580	6	23	CARDINAL
ejpam-5638	581	1	17	CARDINAL
ejpam-5638	581	2	charles johnson	PERSON
ejpam-5638	583	1	linear	ORG
ejpam-5638	583	2	multilinear	CARDINAL
ejpam-5638	583	3	1(4):295–307, 1974	DATE
ejpam-5638	584	1	18	CARDINAL
ejpam-5638	584	2	charles r. johnson	PERSON
ejpam-5638	586	1	9:89–94, 1974	DATE
ejpam-5638	587	1	19	CARDINAL
ejpam-5638	587	2	james quirk	PERSON
ejpam-5638	587	3	richard ruppert	PERSON
ejpam-5638	589	1	32(4):311–326	CARDINAL
ejpam-5638	589	2	1965	DATE
ejpam-5638	590	1	20	CARDINAL
ejpam-5638	590	2	kenneth j. arrow	PERSON
ejpam-5638	590	3	maurice mcmanus	PERSON
ejpam-5638	592	1	econometrica	PERSON
ejpam-5638	592	2	26(3):448–454, 1958	DATE
ejpam-5638	593	1	21	CARDINAL
ejpam-5638	593	2	charles royal johnson	PERSON
ejpam-5638	595	1	phd thesis	PERSON
ejpam-5638	595	2	california institute of technology	ORG
ejpam-5638	595	3	1972	DATE
ejpam-5638	596	1	22	CARDINAL
ejpam-5638	596	2	stephen barnett	PERSON
ejpam-5638	596	3	colin storey	PERSON
ejpam-5638	598	1	nelson	PERSON
ejpam-5638	598	2	london	GPE
ejpam-5638	598	3	1970	DATE
ejpam-5638	599	1	23	CARDINAL
ejpam-5638	599	2	miroslav fiedler	PERSON
ejpam-5638	601	1	czechoslovak mathematical journal	ORG
ejpam-5638	601	2	12(3):382	CARDINAL
ejpam-5638	601	3	400, 1962	DATE
ejpam-5638	602	1	24	CARDINAL
ejpam-5638	602	2	james p. quirk	PERSON
ejpam-5638	602	3	rubin saposnik	PERSON
ejpam-5638	604	1	1968	DATE
ejpam-5638	605	1	25	CARDINAL
ejpam-5638	605	2	olga taussky	PERSON
ejpam-5638	607	1	american	NORP
ejpam-5638	607	2	monthly	DATE
ejpam-5638	607	3	56(10):672–676	CARDINAL
ejpam-5638	607	4	1949	DATE
ejpam-5638	608	1	26	CARDINAL
ejpam-5638	608	2	andrew packard	PERSON
ejpam-5638	608	3	john doyle	PERSON
ejpam-5638	610	1	automatica	PERSON
ejpam-5638	610	2	29(1):71–109	CARDINAL
ejpam-5638	610	3	1993	DATE
ejpam-5638	611	1	27	CARDINAL
ejpam-5638	611	2	jie chen	PERSON
ejpam-5638	611	3	michael k. h. fan	PERSON
ejpam-5638	611	4	cheng-ching yu	PERSON
ejpam-5638	613	1	1995	DATE
ejpam-5638	614	1	28	CARDINAL
ejpam-5638	614	2	jietae lee	PERSON
ejpam-5638	614	3	thomas f. edgar	PERSON
ejpam-5638	616	1	44(4):273–277, 2001	DATE
ejpam-5638	617	1	29	CARDINAL
ejpam-5638	617	2	j. campo	PERSON
ejpam-5638	617	3	m. morari	PERSON
ejpam-5638	619	1	39(5):932–943	CARDINAL
ejpam-5638	619	2	1994	DATE
ejpam-5638	620	1	30	CARDINAL
ejpam-5638	620	2	jie chen	PERSON
ejpam-5638	620	3	michael k. h. fan	PERSON
ejpam-5638	620	4	cheng-ching yu	PERSON
ejpam-5638	622	1	1995	DATE
ejpam-5638	623	1	31	CARDINAL
ejpam-5638	623	2	tulkin h. rasulov	PERSON
ejpam-5638	623	3	amir	PERSON
ejpam-5638	625	1	lobachevskii journal	ORG
ejpam-5638	625	2	45(3):1227–1233	CARDINAL
ejpam-5638	625	3	2024	DATE
ejpam-5638	626	1	32	CARDINAL
ejpam-5638	626	2	nicholas l. trefethen	PERSON
ejpam-5638	628	1	princeton university press	ORG
ejpam-5638	628	2	princeton	GPE
ejpam-5638	628	3	nj	GPE
ejpam-5638	628	4	2005	DATE
ejpam-5638	629	1	33	CARDINAL
ejpam-5638	629	2	a. zackard	PERSON
ejpam-5638	629	3	michael k. h. fan	PERSON
ejpam-5638	629	4	john doyle	PERSON
ejpam-5638	630	1	1988	DATE
ejpam-5638	631	1	34	CARDINAL
ejpam-5638	631	2	p. seiler	PERSON
ejpam-5638	631	3	g. balas	PERSON
ejpam-5638	631	4	a. packard	PERSON
ejpam-5638	633	1	45th	ORDINAL
ejpam-5638	633	2	3548–3553, 2006	DATE
ejpam-5638	634	1	35	CARDINAL
ejpam-5638	634	2	j. f. magni	PERSON
ejpam-5638	634	3	c. döll	PERSON
ejpam-5638	634	4	c. chiappa	GPE
ejpam-5638	634	5	b. girouart	PERSON
ejpam-5638	636	1	1	CARDINAL
ejpam-5638	637	1	14th	ORDINAL
ejpam-5638	637	2	congress	ORG
ejpam-5638	637	3	5:325–360, 1999	DATE
ejpam-5638	638	1	36	CARDINAL
ejpam-5638	638	2	m. halton	PERSON
ejpam-5638	638	3	m. hayes	PERSON
ejpam-5638	638	4	iordanov	NORP
ejpam-5638	640	1	j. pure	PERSON
ejpam-5638	640	2	18	CARDINAL
ejpam-5638	640	3	2	CARDINAL
ejpam-5638	640	4	2025	CARDINAL
ejpam-5638	640	5	5638 23	CARDINAL
ejpam-5638	640	6	23 tal	QUANTITY
ejpam-5638	641	1	18(9):975–992, 2008	DATE
ejpam-5638	642	1	37	CARDINAL
ejpam-5638	642	2	n. guglielmi	PERSON
ejpam-5638	642	3	mutti-ur rehman	PERSON
ejpam-5638	642	4	daniel kressner	PERSON
ejpam-5638	644	1	siam journal	ORG
ejpam-5638	644	2	38(2):361–386	CARDINAL
ejpam-5638	644	3	2017	DATE
ejpam-5638	645	1	38	CARDINAL
ejpam-5638	645	2	g. w. thomas	PERSON
ejpam-5638	647	1	2002	DATE
ejpam-5638	648	1	39	CARDINAL
ejpam-5638	648	2	giorgio giorgi	PERSON
ejpam-5638	650	1	32(2):397–410	PRODUCT
ejpam-5638	650	2	2003	DATE