id	sid	tid	token	lemma	pos
ejpam-3818	1	1	european	european	PROPN
ejpam-3818	1	2	journal	journal	PROPN
ejpam-3818	1	3	of	of	ADP
ejpam-3818	1	4	pure	pure	ADJ
ejpam-3818	1	5	and	and	CCONJ
ejpam-3818	1	6	applied	apply	VERB
ejpam-3818	1	7	mathematics	mathematic	NOUN
ejpam-3818	1	8	vol	vol	NOUN
ejpam-3818	1	9	.	.	PROPN
ejpam-3818	2	1	13	13	NUM
ejpam-3818	2	2	,	,	PUNCT
ejpam-3818	2	3	no	no	INTJ
ejpam-3818	2	4	.	.	NOUN
ejpam-3818	2	5	4	4	NUM
ejpam-3818	2	6	,	,	PUNCT
ejpam-3818	2	7	2020	2020	NUM
ejpam-3818	2	8	,	,	PUNCT
ejpam-3818	2	9	1035	1035	NUM
ejpam-3818	2	10	-	-	SYM
ejpam-3818	2	11	1054	1054	NUM
ejpam-3818	2	12	issn	issn	PROPN
ejpam-3818	2	13	1307	1307	NUM
ejpam-3818	2	14	-	-	SYM
ejpam-3818	2	15	5543	5543	NUM
ejpam-3818	2	16	–	–	PUNCT
ejpam-3818	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3818	2	18	published	publish	VERB
ejpam-3818	2	19	by	by	ADP
ejpam-3818	2	20	new	new	PROPN
ejpam-3818	2	21	york	york	PROPN
ejpam-3818	2	22	business	business	PROPN
ejpam-3818	2	23	global	global	PROPN
ejpam-3818	2	24	optimized	optimize	VERB
ejpam-3818	2	25	cramer	cramer	PROPN
ejpam-3818	2	26	’s	’s	PART
ejpam-3818	2	27	rule	rule	NOUN
ejpam-3818	2	28	in	in	ADP
ejpam-3818	2	29	wz	wz	ADP
ejpam-3818	2	30	factorization	factorization	NOUN
ejpam-3818	2	31	and	and	CCONJ
ejpam-3818	2	32	applications	application	NOUN
ejpam-3818	2	33	olayiwola	olayiwola	NOUN
ejpam-3818	3	1	babarinsa1,2	babarinsa1,2	ADJ
ejpam-3818	3	2	,	,	PUNCT
ejpam-3818	3	3	*	*	PROPN
ejpam-3818	3	4	,	,	PUNCT
ejpam-3818	3	5	azfi	azfi	PROPN
ejpam-3818	3	6	zaidi	zaidi	PROPN
ejpam-3818	3	7	mohammad	mohammad	PROPN
ejpam-3818	3	8	sofi2	sofi2	PROPN
ejpam-3818	3	9	,	,	PUNCT
ejpam-3818	3	10	mohd	mohd	PROPN
ejpam-3818	3	11	asrul	asrul	PROPN
ejpam-3818	3	12	hery	hery	PROPN
ejpam-3818	3	13	ibrahim2	ibrahim2	PROPN
ejpam-3818	3	14	,	,	PUNCT
ejpam-3818	3	15	hailiza	hailiza	PROPN
ejpam-3818	3	16	kamarulhaili3	kamarulhaili3	PROPN
ejpam-3818	3	17	1	1	NUM
ejpam-3818	3	18	department	department	NOUN
ejpam-3818	3	19	of	of	ADP
ejpam-3818	3	20	mathematical	mathematical	ADJ
ejpam-3818	3	21	sciences	sciences	PROPN
ejpam-3818	3	22	,	,	PUNCT
ejpam-3818	3	23	federal	federal	ADJ
ejpam-3818	3	24	university	university	PROPN
ejpam-3818	3	25	lokoja	lokoja	NOUN
ejpam-3818	3	26	,	,	PUNCT
ejpam-3818	3	27	1154	1154	NUM
ejpam-3818	3	28	kogi	kogi	PROPN
ejpam-3818	3	29	state	state	PROPN
ejpam-3818	3	30	,	,	PUNCT
ejpam-3818	3	31	nigeria	nigeria	PROPN
ejpam-3818	3	32	2	2	NUM
ejpam-3818	3	33	faculty	faculty	NOUN
ejpam-3818	3	34	of	of	ADP
ejpam-3818	3	35	bioengineering	bioengineering	NOUN
ejpam-3818	3	36	&	&	CCONJ
ejpam-3818	3	37	technology	technology	PROPN
ejpam-3818	3	38	,	,	PUNCT
ejpam-3818	3	39	universiti	universiti	PROPN
ejpam-3818	3	40	malaysia	malaysia	PROPN
ejpam-3818	3	41	kelantan	kelantan	PROPN
ejpam-3818	3	42	,	,	PUNCT
ejpam-3818	3	43	16100	16100	NUM
ejpam-3818	3	44	kota	kota	PROPN
ejpam-3818	3	45	bharu	bharu	PROPN
ejpam-3818	3	46	,	,	PUNCT
ejpam-3818	3	47	kelantan	kelantan	PROPN
ejpam-3818	3	48	,	,	PUNCT
ejpam-3818	3	49	malaysia	malaysia	PROPN
ejpam-3818	3	50	3	3	NUM
ejpam-3818	3	51	school	school	NOUN
ejpam-3818	3	52	of	of	ADP
ejpam-3818	3	53	mathematical	mathematical	ADJ
ejpam-3818	3	54	sciences	science	NOUN
ejpam-3818	3	55	,	,	PUNCT
ejpam-3818	3	56	universiti	universiti	PROPN
ejpam-3818	3	57	sains	sain	VERB
ejpam-3818	3	58	malaysia	malaysia	PROPN
ejpam-3818	3	59	,	,	PUNCT
ejpam-3818	3	60	11800	11800	NUM
ejpam-3818	3	61	usm	usm	ADJ
ejpam-3818	3	62	,	,	PUNCT
ejpam-3818	3	63	penang	penang	PROPN
ejpam-3818	3	64	,	,	PUNCT
ejpam-3818	3	65	malaysia	malaysia	PROPN
ejpam-3818	3	66	abstract	abstract	NOUN
ejpam-3818	3	67	.	.	PUNCT
ejpam-3818	4	1	in	in	ADP
ejpam-3818	4	2	this	this	DET
ejpam-3818	4	3	paper	paper	NOUN
ejpam-3818	4	4	,	,	PUNCT
ejpam-3818	4	5	wz	wz	ADP
ejpam-3818	4	6	factorization	factorization	NOUN
ejpam-3818	4	7	is	be	AUX
ejpam-3818	4	8	optimized	optimize	VERB
ejpam-3818	4	9	with	with	ADP
ejpam-3818	4	10	a	a	DET
ejpam-3818	4	11	proposed	propose	VERB
ejpam-3818	4	12	cramer	cramer	NOUN
ejpam-3818	4	13	’s	’s	PART
ejpam-3818	4	14	rule	rule	NOUN
ejpam-3818	4	15	and	and	CCONJ
ejpam-3818	4	16	compared	compare	VERB
ejpam-3818	4	17	with	with	ADP
ejpam-3818	4	18	classical	classical	ADJ
ejpam-3818	4	19	cramer	cramer	NOUN
ejpam-3818	4	20	’s	’s	PART
ejpam-3818	4	21	rule	rule	NOUN
ejpam-3818	4	22	to	to	PART
ejpam-3818	4	23	solve	solve	VERB
ejpam-3818	4	24	the	the	DET
ejpam-3818	4	25	linear	linear	PROPN
ejpam-3818	4	26	systems	system	NOUN
ejpam-3818	4	27	of	of	ADP
ejpam-3818	4	28	the	the	DET
ejpam-3818	4	29	factorization	factorization	NOUN
ejpam-3818	4	30	technique	technique	NOUN
ejpam-3818	4	31	.	.	PUNCT
ejpam-3818	5	1	the	the	DET
ejpam-3818	5	2	matrix	matrix	NOUN
ejpam-3818	5	3	norms	norm	NOUN
ejpam-3818	5	4	and	and	CCONJ
ejpam-3818	5	5	performance	performance	NOUN
ejpam-3818	5	6	time	time	NOUN
ejpam-3818	5	7	of	of	ADP
ejpam-3818	5	8	wz	wz	NOUN
ejpam-3818	5	9	factorization	factorization	NOUN
ejpam-3818	5	10	together	together	ADV
ejpam-3818	5	11	with	with	ADP
ejpam-3818	5	12	lu	lu	NOUN
ejpam-3818	5	13	factorization	factorization	NOUN
ejpam-3818	5	14	are	be	AUX
ejpam-3818	5	15	analyzed	analyze	VERB
ejpam-3818	5	16	using	use	VERB
ejpam-3818	5	17	sparse	sparse	ADJ
ejpam-3818	5	18	matrices	matrix	NOUN
ejpam-3818	5	19	on	on	ADP
ejpam-3818	5	20	matlab	matlab	PROPN
ejpam-3818	5	21	via	via	ADP
ejpam-3818	5	22	amd	amd	PROPN
ejpam-3818	5	23	and	and	CCONJ
ejpam-3818	5	24	intel	intel	PROPN
ejpam-3818	5	25	processor	processor	NOUN
ejpam-3818	5	26	to	to	PART
ejpam-3818	5	27	deduce	deduce	VERB
ejpam-3818	5	28	that	that	SCONJ
ejpam-3818	5	29	the	the	DET
ejpam-3818	5	30	optimized	optimize	VERB
ejpam-3818	5	31	cramer	cramer	NOUN
ejpam-3818	5	32	’s	’s	PART
ejpam-3818	5	33	rule	rule	NOUN
ejpam-3818	5	34	in	in	ADP
ejpam-3818	5	35	the	the	DET
ejpam-3818	5	36	factorization	factorization	NOUN
ejpam-3818	5	37	algorithm	algorithm	NOUN
ejpam-3818	5	38	yields	yield	VERB
ejpam-3818	5	39	accurate	accurate	ADJ
ejpam-3818	5	40	results	result	NOUN
ejpam-3818	5	41	than	than	ADP
ejpam-3818	5	42	lu	lu	NOUN
ejpam-3818	5	43	factorization	factorization	NOUN
ejpam-3818	5	44	and	and	CCONJ
ejpam-3818	5	45	conventional	conventional	ADJ
ejpam-3818	5	46	wz	wz	ADP
ejpam-3818	5	47	factorization	factorization	NOUN
ejpam-3818	5	48	.	.	PUNCT
ejpam-3818	6	1	in	in	ADP
ejpam-3818	6	2	all	all	PRON
ejpam-3818	6	3	,	,	PUNCT
ejpam-3818	6	4	the	the	DET
ejpam-3818	6	5	matrix	matrix	NOUN
ejpam-3818	6	6	group	group	NOUN
ejpam-3818	6	7	and	and	CCONJ
ejpam-3818	6	8	schur	schur	PROPN
ejpam-3818	6	9	complement	complement	PROPN
ejpam-3818	6	10	for	for	ADP
ejpam-3818	6	11	every	every	DET
ejpam-3818	6	12	zsystem	zsystem	NOUN
ejpam-3818	6	13	(	(	PUNCT
ejpam-3818	6	14	2×	2×	NUM
ejpam-3818	6	15	2	2	NUM
ejpam-3818	6	16	block	block	NOUN
ejpam-3818	6	17	triangular	triangular	NOUN
ejpam-3818	6	18	matrices	matrix	NOUN
ejpam-3818	6	19	from	from	ADP
ejpam-3818	6	20	z	z	NOUN
ejpam-3818	6	21	-	-	PUNCT
ejpam-3818	6	22	matrix	matrix	NOUN
ejpam-3818	6	23	)	)	PUNCT
ejpam-3818	6	24	are	be	AUX
ejpam-3818	6	25	established	establish	VERB
ejpam-3818	6	26	.	.	PUNCT
ejpam-3818	7	1	2020	2020	NUM
ejpam-3818	7	2	mathematics	mathematics	PROPN
ejpam-3818	7	3	subject	subject	NOUN
ejpam-3818	7	4	classifications	classification	NOUN
ejpam-3818	7	5	:	:	PUNCT
ejpam-3818	7	6	65f05	65f05	NUM
ejpam-3818	7	7	,	,	PUNCT
ejpam-3818	7	8	65f35	65f35	NUM
ejpam-3818	7	9	,	,	PUNCT
ejpam-3818	7	10	15a23	15a23	NUM
ejpam-3818	7	11	key	key	ADJ
ejpam-3818	7	12	words	word	NOUN
ejpam-3818	7	13	and	and	CCONJ
ejpam-3818	7	14	phrases	phrase	NOUN
ejpam-3818	7	15	:	:	PUNCT
ejpam-3818	8	1	wz	wz	ADP
ejpam-3818	8	2	factorization	factorization	NOUN
ejpam-3818	8	3	,	,	PUNCT
ejpam-3818	8	4	lu	lu	NOUN
ejpam-3818	8	5	factorization	factorization	NOUN
ejpam-3818	8	6	,	,	PUNCT
ejpam-3818	8	7	linear	linear	PROPN
ejpam-3818	8	8	systems	system	NOUN
ejpam-3818	8	9	,	,	PUNCT
ejpam-3818	8	10	cramer	cramer	PROPN
ejpam-3818	8	11	’s	’s	PART
ejpam-3818	8	12	rule	rule	NOUN
ejpam-3818	8	13	,	,	PUNCT
ejpam-3818	8	14	matlab	matlab	PROPN
ejpam-3818	8	15	1	1	NUM
ejpam-3818	8	16	.	.	PUNCT
ejpam-3818	9	1	introduction	introduction	NOUN
ejpam-3818	9	2	evans	evans	PROPN
ejpam-3818	9	3	and	and	CCONJ
ejpam-3818	9	4	hatzopoulos	hatzopoulo	NOUN
ejpam-3818	9	5	[	[	X
ejpam-3818	9	6	24	24	NUM
ejpam-3818	9	7	]	]	PUNCT
ejpam-3818	9	8	first	first	ADV
ejpam-3818	9	9	posited	posit	VERB
ejpam-3818	9	10	wz	wz	ADP
ejpam-3818	9	11	factorization	factorization	NOUN
ejpam-3818	9	12	or	or	CCONJ
ejpam-3818	9	13	quadrant	quadrant	VERB
ejpam-3818	9	14	interlocking	interlock	VERB
ejpam-3818	9	15	factorization	factorization	NOUN
ejpam-3818	9	16	of	of	ADP
ejpam-3818	9	17	nonsingular	nonsingular	ADJ
ejpam-3818	9	18	matrix	matrix	NOUN
ejpam-3818	9	19	.	.	PUNCT
ejpam-3818	10	1	the	the	DET
ejpam-3818	10	2	factorization	factorization	NOUN
ejpam-3818	10	3	decomposes	decompose	VERB
ejpam-3818	10	4	matrices	matrix	NOUN
ejpam-3818	10	5	into	into	ADP
ejpam-3818	10	6	block	block	NOUN
ejpam-3818	10	7	forms	form	NOUN
ejpam-3818	10	8	which	which	PRON
ejpam-3818	10	9	are	be	AUX
ejpam-3818	10	10	then	then	ADV
ejpam-3818	10	11	regrouped	regroup	VERB
ejpam-3818	10	12	and	and	CCONJ
ejpam-3818	10	13	solved	solve	VERB
ejpam-3818	10	14	as	as	ADP
ejpam-3818	10	15	sub	sub	NOUN
ejpam-3818	10	16	-	-	NOUN
ejpam-3818	10	17	blocks	block	NOUN
ejpam-3818	10	18	[	[	X
ejpam-3818	10	19	32	32	NUM
ejpam-3818	10	20	]	]	PUNCT
ejpam-3818	10	21	.	.	PUNCT
ejpam-3818	11	1	in	in	ADP
ejpam-3818	11	2	wz	wz	ADP
ejpam-3818	11	3	factorization	factorization	NOUN
ejpam-3818	11	4	of	of	ADP
ejpam-3818	11	5	nonsingular	nonsingular	ADJ
ejpam-3818	11	6	matrix	matrix	NOUN
ejpam-3818	11	7	b	b	NOUN
ejpam-3818	11	8	,	,	PUNCT
ejpam-3818	11	9	w	w	NOUN
ejpam-3818	11	10	matrix	matrix	NOUN
ejpam-3818	11	11	(	(	PUNCT
ejpam-3818	11	12	bow	bow	NOUN
ejpam-3818	11	13	-	-	PUNCT
ejpam-3818	11	14	tie	tie	NOUN
ejpam-3818	11	15	matrix	matrix	NOUN
ejpam-3818	11	16	)	)	PUNCT
ejpam-3818	11	17	and	and	CCONJ
ejpam-3818	11	18	z	z	NOUN
ejpam-3818	11	19	-	-	NOUN
ejpam-3818	11	20	matrix	matrix	NOUN
ejpam-3818	11	21	(	(	PUNCT
ejpam-3818	11	22	hourglass	hourglass	NOUN
ejpam-3818	11	23	matrix	matrix	NOUN
ejpam-3818	11	24	)	)	PUNCT
ejpam-3818	11	25	which	which	PRON
ejpam-3818	11	26	are	be	AUX
ejpam-3818	11	27	also	also	ADV
ejpam-3818	11	28	known	know	VERB
ejpam-3818	11	29	as	as	ADP
ejpam-3818	11	30	interlocking	interlock	VERB
ejpam-3818	11	31	quadrant	quadrant	ADJ
ejpam-3818	11	32	factors	factor	NOUN
ejpam-3818	11	33	of	of	ADP
ejpam-3818	11	34	b	b	NOUN
ejpam-3818	11	35	coexist	coexist	NOUN
ejpam-3818	11	36	in	in	ADP
ejpam-3818	11	37	the	the	DET
ejpam-3818	11	38	form	form	NOUN
ejpam-3818	11	39	[	[	X
ejpam-3818	11	40	6	6	NUM
ejpam-3818	11	41	]	]	X
ejpam-3818	11	42	w	w	NOUN
ejpam-3818	11	43	=	=	PUNCT
ejpam-3818	11	44			NOUN
ejpam-3818	11	45	1	1	NUM
ejpam-3818	11	46	◦	◦	NOUN
ejpam-3818	11	47	•	•	NUM
ejpam-3818	11	48	1	1	NUM
ejpam-3818	11	49	•	•	NUM
ejpam-3818	11	50	•	•	NOUN
ejpam-3818	11	51	◦	◦	NOUN
ejpam-3818	11	52	1	1	NUM
ejpam-3818	11	53	◦	◦	NOUN
ejpam-3818	11	54	•	•	NUM
ejpam-3818	11	55	•	•	NOUN
ejpam-3818	11	56	◦	◦	NOUN
ejpam-3818	11	57	◦	◦	NOUN
ejpam-3818	11	58	1	1	NUM
ejpam-3818	11	59	◦	◦	NOUN
ejpam-3818	11	60	◦	◦	NOUN
ejpam-3818	11	61	•	•	NUM
ejpam-3818	11	62	•	•	NOUN
ejpam-3818	11	63	◦	◦	NOUN
ejpam-3818	11	64	•	•	NUM
ejpam-3818	11	65	1	1	NUM
ejpam-3818	11	66	•	•	NOUN
ejpam-3818	11	67	◦	◦	NOUN
ejpam-3818	11	68	•	•	NUM
ejpam-3818	11	69	•	•	NUM
ejpam-3818	11	70	•	•	NUM
ejpam-3818	11	71	1	1	NUM
ejpam-3818	11	72	•	•	NUM
ejpam-3818	11	73	•	•	NUM
ejpam-3818	11	74	•	•	NUM
ejpam-3818	11	75	1	1	NUM
ejpam-3818	11	76	•	•	NOUN
ejpam-3818	11	77	◦	◦	NOUN
ejpam-3818	11	78	1	1	NUM
ejpam-3818	11	79			NOUN
ejpam-3818	11	80	and	and	CCONJ
ejpam-3818	11	81	z	z	NOUN
ejpam-3818	11	82	=	=	PUNCT
ejpam-3818	11	83			VERB
ejpam-3818	11	84	•	•	ADV
ejpam-3818	11	85	•	•	NOUN
ejpam-3818	11	86	•	•	NUM
ejpam-3818	11	87	•	•	NUM
ejpam-3818	11	88	•	•	NUM
ejpam-3818	11	89	•	•	NUM
ejpam-3818	11	90	•	•	NOUN
ejpam-3818	11	91	•	•	NOUN
ejpam-3818	11	92	◦	◦	NOUN
ejpam-3818	11	93	◦	◦	NOUN
ejpam-3818	11	94	◦	◦	NOUN
ejpam-3818	11	95	◦	◦	NOUN
ejpam-3818	12	1	◦	◦	NOUN
ejpam-3818	12	2	•	•	NUM
ejpam-3818	12	3	◦	◦	NOUN
ejpam-3818	12	4	◦	◦	NOUN
ejpam-3818	12	5	◦	◦	NOUN
ejpam-3818	12	6	•	•	NUM
ejpam-3818	12	7	◦	◦	NOUN
ejpam-3818	12	8	•	•	NUM
ejpam-3818	12	9	•	•	NOUN
ejpam-3818	12	10	◦	◦	NOUN
ejpam-3818	12	11	•	•	NUM
ejpam-3818	12	12	◦	◦	NOUN
ejpam-3818	12	13	◦	◦	NOUN
ejpam-3818	12	14	◦	◦	NOUN
ejpam-3818	12	15	•	•	NUM
ejpam-3818	12	16	◦	◦	NOUN
ejpam-3818	12	17	◦	◦	NOUN
ejpam-3818	12	18	◦	◦	NOUN
ejpam-3818	12	19	◦	◦	NOUN
ejpam-3818	12	20	◦	◦	NOUN
ejpam-3818	12	21	•	•	NUM
ejpam-3818	12	22	•	•	NUM
ejpam-3818	12	23	•	•	NUM
ejpam-3818	12	24	•	•	NUM
ejpam-3818	12	25	•	•	NUM
ejpam-3818	12	26	•	•	NUM
ejpam-3818	12	27	•	•	NOUN
ejpam-3818	12	28	•	•	NOUN
ejpam-3818	12	29			NUM
ejpam-3818	12	30	∗corresponding	∗corresponde	VERB
ejpam-3818	12	31	author	author	NOUN
ejpam-3818	12	32	.	.	PUNCT
ejpam-3818	13	1	doi	doi	NOUN
ejpam-3818	13	2	:	:	PUNCT
ejpam-3818	13	3	https://doi.org/10.29020/nybg.ejpam.v13i4.3838	https://doi.org/10.29020/nybg.ejpam.v13i4.3838	VERB
ejpam-3818	13	4	email	email	NOUN
ejpam-3818	13	5	addresses	address	NOUN
ejpam-3818	13	6	:	:	PUNCT
ejpam-3818	13	7	olayiwola@umk.edu.my	olayiwola@umk.edu.my	ADJ
ejpam-3818	13	8	;	;	PUNCT
ejpam-3818	13	9	olayiwola.babarinsa@fulokoja.edu.ng	olayiwola.babarinsa@fulokoja.edu.ng	INTJ
ejpam-3818	13	10	(	(	PUNCT
ejpam-3818	13	11	o.	o.	NOUN
ejpam-3818	13	12	babarinsa	babarinsa	PROPN
ejpam-3818	13	13	)	)	PUNCT
ejpam-3818	13	14	,	,	PUNCT
ejpam-3818	13	15	azfi.ms@umk.edu.my	azfi.ms@umk.edu.my	X
ejpam-3818	13	16	(	(	PUNCT
ejpam-3818	13	17	a.z	a.z	PROPN
ejpam-3818	13	18	.	.	PROPN
ejpam-3818	13	19	sofi	sofi	PROPN
ejpam-3818	13	20	)	)	PUNCT
ejpam-3818	13	21	,	,	PUNCT
ejpam-3818	14	1	hery.i@umk.edu.my	hery.i@umk.edu.my	PRON
ejpam-3818	14	2	(	(	PUNCT
ejpam-3818	14	3	m.a	m.a	PROPN
ejpam-3818	14	4	.	.	PROPN
ejpam-3818	14	5	ibrahim	ibrahim	PROPN
ejpam-3818	14	6	)	)	PUNCT
ejpam-3818	14	7	,	,	PUNCT
ejpam-3818	14	8	hailiza@usm.my	hailiza@usm.my	PROPN
ejpam-3818	14	9	(	(	PUNCT
ejpam-3818	14	10	h.	h.	NOUN
ejpam-3818	14	11	kamarulhaili	kamarulhaili	PROPN
ejpam-3818	14	12	)	)	PUNCT
ejpam-3818	14	13	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-3818	14	14	1035	1035	NUM
ejpam-3818	14	15	©	©	PROPN
ejpam-3818	14	16	2020	2020	NUM
ejpam-3818	14	17	ejpam	ejpam	VERB
ejpam-3818	14	18	all	all	DET
ejpam-3818	14	19	rights	right	NOUN
ejpam-3818	14	20	reserved	reserve	VERB
ejpam-3818	14	21	.	.	PUNCT
ejpam-3818	15	1	o.	o.	PROPN
ejpam-3818	15	2	babarinsa	babarinsa	PROPN
ejpam-3818	15	3	et	et	PROPN
ejpam-3818	15	4	al	al	PROPN
ejpam-3818	15	5	.	.	PUNCT
ejpam-3818	15	6	/	/	SYM
ejpam-3818	15	7	eur	eur	PROPN
ejpam-3818	15	8	.	.	PUNCT
ejpam-3818	16	1	j.	j.	PROPN
ejpam-3818	16	2	pure	pure	PROPN
ejpam-3818	16	3	appl	appl	PROPN
ejpam-3818	16	4	.	.	PROPN
ejpam-3818	16	5	math	math	PROPN
ejpam-3818	16	6	,	,	PUNCT
ejpam-3818	16	7	13	13	NUM
ejpam-3818	16	8	(	(	PUNCT
ejpam-3818	16	9	4	4	NUM
ejpam-3818	16	10	)	)	PUNCT
ejpam-3818	16	11	(	(	PUNCT
ejpam-3818	16	12	2020	2020	NUM
ejpam-3818	16	13	)	)	PUNCT
ejpam-3818	16	14	,	,	PUNCT
ejpam-3818	16	15	1035	1035	NUM
ejpam-3818	16	16	-	-	SYM
ejpam-3818	16	17	1054	1054	NUM
ejpam-3818	16	18	1036	1036	NUM
ejpam-3818	16	19	such	such	ADJ
ejpam-3818	16	20	that	that	DET
ejpam-3818	16	21	b	b	NOUN
ejpam-3818	16	22	=	=	PRON
ejpam-3818	16	23	wz	wz	PROPN
ejpam-3818	16	24	.	.	PUNCT
ejpam-3818	17	1	(	(	PUNCT
ejpam-3818	17	2	1	1	X
ejpam-3818	17	3	)	)	PUNCT
ejpam-3818	17	4	the	the	DET
ejpam-3818	17	5	factorization	factorization	NOUN
ejpam-3818	17	6	exists	exist	VERB
ejpam-3818	17	7	for	for	ADP
ejpam-3818	17	8	every	every	DET
ejpam-3818	17	9	nonsingular	nonsingular	ADJ
ejpam-3818	17	10	matrix	matrix	NOUN
ejpam-3818	17	11	due	due	ADP
ejpam-3818	17	12	to	to	ADP
ejpam-3818	17	13	its	its	PRON
ejpam-3818	17	14	uniqueness	uniqueness	NOUN
ejpam-3818	17	15	,	,	PUNCT
ejpam-3818	17	16	often	often	ADV
ejpam-3818	17	17	with	with	ADP
ejpam-3818	17	18	pivoting	pivot	VERB
ejpam-3818	17	19	[	[	PUNCT
ejpam-3818	17	20	33	33	NUM
ejpam-3818	17	21	,	,	PUNCT
ejpam-3818	17	22	37	37	NUM
ejpam-3818	17	23	]	]	PUNCT
ejpam-3818	17	24	.	.	PUNCT
ejpam-3818	18	1	pivoting	pivot	VERB
ejpam-3818	18	2	improves	improve	VERB
ejpam-3818	18	3	the	the	DET
ejpam-3818	18	4	numerical	numerical	ADJ
ejpam-3818	18	5	stability	stability	NOUN
ejpam-3818	18	6	of	of	ADP
ejpam-3818	18	7	wz	wz	ADP
ejpam-3818	18	8	factorization	factorization	NOUN
ejpam-3818	18	9	[	[	X
ejpam-3818	18	10	34	34	NUM
ejpam-3818	18	11	]	]	PUNCT
ejpam-3818	18	12	.	.	PUNCT
ejpam-3818	19	1	even	even	ADV
ejpam-3818	19	2	without	without	ADP
ejpam-3818	19	3	pivoting	pivot	VERB
ejpam-3818	19	4	or	or	CCONJ
ejpam-3818	19	5	reordering	reordering	NOUN
ejpam-3818	19	6	,	,	PUNCT
ejpam-3818	19	7	wz	wz	ADP
ejpam-3818	19	8	factorization	factorization	NOUN
ejpam-3818	19	9	will	will	AUX
ejpam-3818	19	10	not	not	PART
ejpam-3818	19	11	fail	fail	VERB
ejpam-3818	19	12	if	if	SCONJ
ejpam-3818	19	13	the	the	DET
ejpam-3818	19	14	matrix	matrix	NOUN
ejpam-3818	19	15	is	be	AUX
ejpam-3818	19	16	real	real	ADV
ejpam-3818	19	17	symmetric	symmetric	ADJ
ejpam-3818	19	18	,	,	PUNCT
ejpam-3818	19	19	positive	positive	ADJ
ejpam-3818	19	20	definite	definite	ADJ
ejpam-3818	19	21	or	or	CCONJ
ejpam-3818	19	22	diagonally	diagonally	ADV
ejpam-3818	19	23	dominant	dominant	ADJ
ejpam-3818	19	24	,	,	PUNCT
ejpam-3818	19	25	see	see	VERB
ejpam-3818	19	26	[	[	X
ejpam-3818	19	27	21	21	NUM
ejpam-3818	19	28	,	,	PUNCT
ejpam-3818	19	29	43	43	NUM
ejpam-3818	19	30	]	]	PUNCT
ejpam-3818	19	31	.	.	PUNCT
ejpam-3818	20	1	the	the	DET
ejpam-3818	20	2	factorization	factorization	NOUN
ejpam-3818	20	3	has	have	AUX
ejpam-3818	20	4	been	be	AUX
ejpam-3818	20	5	applied	apply	VERB
ejpam-3818	20	6	in	in	ADP
ejpam-3818	20	7	scientific	scientific	ADJ
ejpam-3818	20	8	computing	computing	NOUN
ejpam-3818	20	9	especially	especially	ADV
ejpam-3818	20	10	in	in	ADP
ejpam-3818	20	11	science	science	NOUN
ejpam-3818	20	12	and	and	CCONJ
ejpam-3818	20	13	engineering	engineering	NOUN
ejpam-3818	20	14	see	see	VERB
ejpam-3818	20	15	also	also	ADV
ejpam-3818	20	16	[	[	X
ejpam-3818	20	17	10	10	NUM
ejpam-3818	20	18	,	,	PUNCT
ejpam-3818	20	19	19	19	NUM
ejpam-3818	20	20	,	,	PUNCT
ejpam-3818	20	21	21	21	NUM
ejpam-3818	20	22	,	,	PUNCT
ejpam-3818	20	23	25	25	NUM
ejpam-3818	20	24	,	,	PUNCT
ejpam-3818	20	25	39	39	NUM
ejpam-3818	20	26	]	]	PUNCT
ejpam-3818	20	27	.	.	PUNCT
ejpam-3818	21	1	other	other	ADJ
ejpam-3818	21	2	variations	variation	NOUN
ejpam-3818	21	3	of	of	ADP
ejpam-3818	21	4	wz	wz	PROPN
ejpam-3818	21	5	factorization	factorization	NOUN
ejpam-3818	21	6	are	be	AUX
ejpam-3818	21	7	detailed	detail	VERB
ejpam-3818	21	8	in	in	ADP
ejpam-3818	21	9	[	[	X
ejpam-3818	21	10	15	15	NUM
ejpam-3818	21	11	,	,	PUNCT
ejpam-3818	21	12	20	20	NUM
ejpam-3818	21	13	,	,	PUNCT
ejpam-3818	21	14	23	23	NUM
ejpam-3818	21	15	,	,	PUNCT
ejpam-3818	21	16	36	36	NUM
ejpam-3818	21	17	,	,	PUNCT
ejpam-3818	21	18	38	38	NUM
ejpam-3818	21	19	]	]	PUNCT
ejpam-3818	21	20	,	,	PUNCT
ejpam-3818	21	21	but	but	CCONJ
ejpam-3818	21	22	block	block	NOUN
ejpam-3818	21	23	wz	wz	ADP
ejpam-3818	21	24	factorization	factorization	NOUN
ejpam-3818	21	25	(	(	PUNCT
ejpam-3818	21	26	or	or	CCONJ
ejpam-3818	21	27	its	its	PRON
ejpam-3818	21	28	zsystem	zsystem	NOUN
ejpam-3818	21	29	)	)	PUNCT
ejpam-3818	21	30	is	be	AUX
ejpam-3818	21	31	discussed	discuss	VERB
ejpam-3818	21	32	in	in	ADP
ejpam-3818	21	33	[	[	X
ejpam-3818	21	34	7	7	NUM
ejpam-3818	21	35	,	,	PUNCT
ejpam-3818	21	36	9	9	NUM
ejpam-3818	21	37	,	,	PUNCT
ejpam-3818	21	38	26	26	NUM
ejpam-3818	21	39	]	]	PUNCT
ejpam-3818	21	40	.	.	PUNCT
ejpam-3818	22	1	the	the	DET
ejpam-3818	22	2	newest	new	ADJ
ejpam-3818	22	3	and	and	CCONJ
ejpam-3818	22	4	alternative	alternative	ADJ
ejpam-3818	22	5	form	form	NOUN
ejpam-3818	22	6	of	of	ADP
ejpam-3818	22	7	wz	wz	ADP
ejpam-3818	22	8	factorization	factorization	NOUN
ejpam-3818	22	9	with	with	ADP
ejpam-3818	22	10	applications	application	NOUN
ejpam-3818	22	11	is	be	AUX
ejpam-3818	22	12	the	the	DET
ejpam-3818	22	13	wh	wh	NOUN
ejpam-3818	22	14	factorization	factorization	NOUN
ejpam-3818	22	15	,	,	PUNCT
ejpam-3818	22	16	see	see	VERB
ejpam-3818	22	17	[	[	X
ejpam-3818	22	18	4	4	NUM
ejpam-3818	22	19	,	,	PUNCT
ejpam-3818	22	20	6	6	NUM
ejpam-3818	22	21	]	]	PUNCT
ejpam-3818	22	22	.	.	PUNCT
ejpam-3818	23	1	in	in	ADP
ejpam-3818	23	2	addition	addition	NOUN
ejpam-3818	23	3	,	,	PUNCT
ejpam-3818	23	4	the	the	DET
ejpam-3818	23	5	numerical	numerical	ADJ
ejpam-3818	23	6	accuracy	accuracy	NOUN
ejpam-3818	23	7	(	(	PUNCT
ejpam-3818	23	8	−log10	−log10	NOUN
ejpam-3818	23	9	‖b−wz‖	‖b−wz‖	X
ejpam-3818	23	10	n·‖b‖	n·‖b‖	NOUN
ejpam-3818	23	11	)	)	PUNCT
ejpam-3818	23	12	of	of	ADP
ejpam-3818	23	13	wz	wz	ADP
ejpam-3818	23	14	factorization	factorization	NOUN
ejpam-3818	23	15	depends	depend	VERB
ejpam-3818	23	16	on	on	ADP
ejpam-3818	23	17	the	the	DET
ejpam-3818	23	18	matrix	matrix	NOUN
ejpam-3818	23	19	size	size	NOUN
ejpam-3818	23	20	but	but	CCONJ
ejpam-3818	23	21	more	more	ADJ
ejpam-3818	23	22	on	on	ADP
ejpam-3818	23	23	the	the	DET
ejpam-3818	23	24	matrix	matrix	NOUN
ejpam-3818	23	25	norms	norm	VERB
ejpam-3818	23	26	[	[	X
ejpam-3818	23	27	11	11	NUM
ejpam-3818	23	28	]	]	PUNCT
ejpam-3818	23	29	.	.	PUNCT
ejpam-3818	24	1	the	the	DET
ejpam-3818	24	2	matrix	matrix	NOUN
ejpam-3818	24	3	norm	norm	NOUN
ejpam-3818	24	4	of	of	ADP
ejpam-3818	24	5	wz	wz	PROPN
ejpam-3818	24	6	factorization	factorization	NOUN
ejpam-3818	24	7	is	be	AUX
ejpam-3818	24	8	the	the	DET
ejpam-3818	24	9	frobenius	frobenius	ADJ
ejpam-3818	24	10	norm	norm	NOUN
ejpam-3818	24	11	[	[	X
ejpam-3818	24	12	28	28	NUM
ejpam-3818	24	13	]	]	PUNCT
ejpam-3818	24	14	.	.	PUNCT
ejpam-3818	25	1	the	the	DET
ejpam-3818	25	2	frobenius	frobenius	ADJ
ejpam-3818	25	3	norm	norm	NOUN
ejpam-3818	25	4	of	of	ADP
ejpam-3818	25	5	wz	wz	ADP
ejpam-3818	25	6	factorization	factorization	NOUN
ejpam-3818	25	7	from	from	ADP
ejpam-3818	25	8	equation	equation	NOUN
ejpam-3818	25	9	(	(	PUNCT
ejpam-3818	25	10	1	1	X
ejpam-3818	25	11	)	)	PUNCT
ejpam-3818	25	12	is	be	AUX
ejpam-3818	25	13	given	give	VERB
ejpam-3818	25	14	as	as	ADP
ejpam-3818	25	15	‖b−wz‖f	‖b−wz‖f	NOUN
ejpam-3818	25	16	=	=	SYM
ejpam-3818	25	17	(	(	PUNCT
ejpam-3818	25	18	n	n	CCONJ
ejpam-3818	25	19	∑	∑	PROPN
ejpam-3818	25	20	i=1	i=1	PROPN
ejpam-3818	25	21	n	n	ADV
ejpam-3818	25	22	∑	∑	ADV
ejpam-3818	25	23	j=1	j=1	NOUN
ejpam-3818	25	24	|bi	|bi	NUM
ejpam-3818	25	25	,	,	PUNCT
ejpam-3818	25	26	j−wi	j−wi	NOUN
ejpam-3818	25	27	,	,	PUNCT
ejpam-3818	25	28	jzi	jzi	PROPN
ejpam-3818	25	29	,	,	PUNCT
ejpam-3818	25	30	j|	j|	PROPN
ejpam-3818	25	31	)	)	PUNCT
ejpam-3818	25	32	1	1	NUM
ejpam-3818	25	33	2	2	NUM
ejpam-3818	25	34	.	.	PUNCT
ejpam-3818	26	1	(	(	PUNCT
ejpam-3818	26	2	2	2	X
ejpam-3818	26	3	)	)	PUNCT
ejpam-3818	26	4	furthermore	furthermore	ADV
ejpam-3818	26	5	,	,	PUNCT
ejpam-3818	26	6	wz	wz	ADP
ejpam-3818	26	7	factorization	factorization	NOUN
ejpam-3818	26	8	proves	prove	VERB
ejpam-3818	26	9	to	to	PART
ejpam-3818	26	10	be	be	AUX
ejpam-3818	26	11	better	well	ADJ
ejpam-3818	26	12	on	on	ADP
ejpam-3818	26	13	intel	intel	PROPN
ejpam-3818	26	14	processors	processor	NOUN
ejpam-3818	26	15	than	than	ADP
ejpam-3818	26	16	on	on	ADP
ejpam-3818	26	17	advanced	advanced	PROPN
ejpam-3818	26	18	micro	micro	ADJ
ejpam-3818	26	19	devices	device	NOUN
ejpam-3818	26	20	(	(	PUNCT
ejpam-3818	26	21	amd	amd	NOUN
ejpam-3818	26	22	)	)	PUNCT
ejpam-3818	26	23	processors	processor	NOUN
ejpam-3818	26	24	[	[	X
ejpam-3818	26	25	11	11	NUM
ejpam-3818	26	26	]	]	PUNCT
ejpam-3818	26	27	.	.	PUNCT
ejpam-3818	27	1	even	even	ADV
ejpam-3818	27	2	though	though	SCONJ
ejpam-3818	27	3	wz	wz	AUX
ejpam-3818	27	4	factorization	factorization	NOUN
ejpam-3818	27	5	and	and	CCONJ
ejpam-3818	27	6	lu	lu	NOUN
ejpam-3818	27	7	factorization	factorization	NOUN
ejpam-3818	27	8	have	have	VERB
ejpam-3818	27	9	similar	similar	ADJ
ejpam-3818	27	10	computational	computational	ADJ
ejpam-3818	27	11	complexity	complexity	NOUN
ejpam-3818	27	12	with	with	ADP
ejpam-3818	27	13	lu	lu	NOUN
ejpam-3818	27	14	factorization	factorization	NOUN
ejpam-3818	27	15	(	(	PUNCT
ejpam-3818	27	16	2	2	NUM
ejpam-3818	27	17	3	3	NUM
ejpam-3818	27	18	n3	n3	NOUN
ejpam-3818	27	19	+	+	CCONJ
ejpam-3818	27	20	1	1	NUM
ejpam-3818	27	21	2	2	NUM
ejpam-3818	27	22	n2−	n2−	NUM
ejpam-3818	27	23	7	7	NUM
ejpam-3818	27	24	6	6	NUM
ejpam-3818	27	25	n	n	NOUN
ejpam-3818	27	26	)	)	PUNCT
ejpam-3818	27	27	and	and	CCONJ
ejpam-3818	27	28	wz	wz	AUX
ejpam-3818	27	29	factorization	factorization	VERB
ejpam-3818	27	30	-(2	-(2	PROPN
ejpam-3818	27	31	3	3	NUM
ejpam-3818	27	32	n3−	n3−	PROPN
ejpam-3818	27	33	7	7	NUM
ejpam-3818	27	34	6	6	NUM
ejpam-3818	27	35	n−3	n−3	PROPN
ejpam-3818	27	36	)	)	PUNCT
ejpam-3818	27	37	,	,	PUNCT
ejpam-3818	27	38	the	the	DET
ejpam-3818	27	39	wz	wz	PROPN
ejpam-3818	27	40	factorization	factorization	NOUN
ejpam-3818	27	41	still	still	ADV
ejpam-3818	27	42	shown	show	VERB
ejpam-3818	27	43	to	to	PART
ejpam-3818	27	44	be	be	AUX
ejpam-3818	27	45	better	well	ADJ
ejpam-3818	27	46	than	than	ADP
ejpam-3818	27	47	lu	lu	NOUN
ejpam-3818	27	48	factorization	factorization	NOUN
ejpam-3818	27	49	(	(	PUNCT
ejpam-3818	27	50	except	except	SCONJ
ejpam-3818	27	51	block	block	NOUN
ejpam-3818	27	52	lu	lu	NOUN
ejpam-3818	27	53	factorization	factorization	NOUN
ejpam-3818	27	54	)	)	PUNCT
ejpam-3818	27	55	irrespective	irrespective	ADV
ejpam-3818	27	56	of	of	ADP
ejpam-3818	27	57	the	the	DET
ejpam-3818	27	58	version	version	NOUN
ejpam-3818	27	59	of	of	ADP
ejpam-3818	27	60	matlab	matlab	PROPN
ejpam-3818	27	61	or	or	CCONJ
ejpam-3818	27	62	the	the	DET
ejpam-3818	27	63	number	number	NOUN
ejpam-3818	27	64	of	of	ADP
ejpam-3818	27	65	processors	processor	NOUN
ejpam-3818	27	66	used	use	VERB
ejpam-3818	27	67	[	[	PUNCT
ejpam-3818	27	68	22	22	NUM
ejpam-3818	27	69	]	]	PUNCT
ejpam-3818	27	70	.	.	PUNCT
ejpam-3818	28	1	however	however	ADV
ejpam-3818	28	2	,	,	PUNCT
ejpam-3818	28	3	for	for	ADP
ejpam-3818	28	4	a	a	DET
ejpam-3818	28	5	uniprocessor	uniprocessor	NOUN
ejpam-3818	28	6	,	,	PUNCT
ejpam-3818	28	7	wz	wz	ADP
ejpam-3818	28	8	factorization	factorization	NOUN
ejpam-3818	28	9	does	do	AUX
ejpam-3818	28	10	not	not	PART
ejpam-3818	28	11	exhibit	exhibit	VERB
ejpam-3818	28	12	any	any	DET
ejpam-3818	28	13	advantage	advantage	NOUN
ejpam-3818	28	14	over	over	ADP
ejpam-3818	28	15	lu	lu	NOUN
ejpam-3818	28	16	factorization	factorization	NOUN
ejpam-3818	28	17	since	since	SCONJ
ejpam-3818	28	18	every	every	DET
ejpam-3818	28	19	step	step	NOUN
ejpam-3818	28	20	performed	perform	VERB
ejpam-3818	28	21	is	be	AUX
ejpam-3818	28	22	in	in	ADP
ejpam-3818	28	23	serial	serial	ADJ
ejpam-3818	28	24	[	[	X
ejpam-3818	28	25	32	32	NUM
ejpam-3818	28	26	]	]	PUNCT
ejpam-3818	28	27	.	.	PUNCT
ejpam-3818	29	1	for	for	ADP
ejpam-3818	29	2	sparse	sparse	ADJ
ejpam-3818	29	3	matrices	matrix	NOUN
ejpam-3818	29	4	,	,	PUNCT
ejpam-3818	29	5	lu	lu	PROPN
ejpam-3818	29	6	and	and	CCONJ
ejpam-3818	29	7	wz	wz	ADP
ejpam-3818	29	8	factorization	factorization	NOUN
ejpam-3818	29	9	generate	generate	VERB
ejpam-3818	29	10	approximately	approximately	ADV
ejpam-3818	29	11	similar	similar	ADJ
ejpam-3818	29	12	number	number	NOUN
ejpam-3818	29	13	of	of	ADP
ejpam-3818	29	14	nonzero	nonzero	PROPN
ejpam-3818	29	15	elements	element	NOUN
ejpam-3818	29	16	.	.	PUNCT
ejpam-3818	30	1	lu	lu	NOUN
ejpam-3818	30	2	factorization	factorization	NOUN
ejpam-3818	30	3	relies	rely	VERB
ejpam-3818	30	4	on	on	ADP
ejpam-3818	30	5	leading	lead	VERB
ejpam-3818	30	6	principal	principal	ADJ
ejpam-3818	30	7	submatrices	submatrice	NOUN
ejpam-3818	30	8	,	,	PUNCT
ejpam-3818	30	9	whereas	whereas	SCONJ
ejpam-3818	30	10	wz	wz	ADP
ejpam-3818	30	11	factorization	factorization	NOUN
ejpam-3818	30	12	relies	rely	VERB
ejpam-3818	30	13	on	on	ADP
ejpam-3818	30	14	nonsingular	nonsingular	ADJ
ejpam-3818	30	15	central	central	ADJ
ejpam-3818	30	16	submatrices	submatrice	NOUN
ejpam-3818	30	17	.	.	PUNCT
ejpam-3818	31	1	wz	wz	AUX
ejpam-3818	31	2	factorization	factorization	NOUN
ejpam-3818	31	3	simultaneously	simultaneously	ADV
ejpam-3818	31	4	computes	compute	VERB
ejpam-3818	31	5	two	two	NUM
ejpam-3818	31	6	matrix	matrix	NOUN
ejpam-3818	31	7	elements	element	NOUN
ejpam-3818	31	8	(	(	PUNCT
ejpam-3818	31	9	two	two	NUM
ejpam-3818	31	10	columns	column	NOUN
ejpam-3818	31	11	at	at	ADP
ejpam-3818	31	12	a	a	DET
ejpam-3818	31	13	time	time	NOUN
ejpam-3818	31	14	)	)	PUNCT
ejpam-3818	31	15	,	,	PUNCT
ejpam-3818	31	16	unlike	unlike	ADP
ejpam-3818	31	17	lu	lu	NOUN
ejpam-3818	31	18	factorization	factorization	NOUN
ejpam-3818	31	19	which	which	PRON
ejpam-3818	31	20	computes	compute	VERB
ejpam-3818	31	21	one	one	NUM
ejpam-3818	31	22	column	column	NOUN
ejpam-3818	31	23	at	at	ADP
ejpam-3818	31	24	a	a	DET
ejpam-3818	31	25	time	time	NOUN
ejpam-3818	31	26	[	[	X
ejpam-3818	31	27	12	12	NUM
ejpam-3818	31	28	]	]	PUNCT
ejpam-3818	31	29	.	.	PUNCT
ejpam-3818	32	1	while	while	SCONJ
ejpam-3818	32	2	lu	lu	NOUN
ejpam-3818	32	3	factorization	factorization	NOUN
ejpam-3818	32	4	performs	perform	VERB
ejpam-3818	32	5	elimination	elimination	NOUN
ejpam-3818	32	6	in	in	ADP
ejpam-3818	32	7	serial	serial	NOUN
ejpam-3818	32	8	with	with	ADP
ejpam-3818	32	9	n−1	n−1	PROPN
ejpam-3818	32	10	steps	step	NOUN
ejpam-3818	32	11	,	,	PUNCT
ejpam-3818	32	12	wz	wz	AUX
ejpam-3818	32	13	factorization	factorization	NOUN
ejpam-3818	32	14	executes	execute	VERB
ejpam-3818	32	15	components	component	NOUN
ejpam-3818	32	16	in	in	ADP
ejpam-3818	32	17	parallel	parallel	NOUN
ejpam-3818	32	18	with	with	ADP
ejpam-3818	32	19	n	n	CCONJ
ejpam-3818	32	20	2	2	NUM
ejpam-3818	32	21	steps	step	NOUN
ejpam-3818	32	22	if	if	SCONJ
ejpam-3818	32	23	n	n	NOUN
ejpam-3818	32	24	is	be	AUX
ejpam-3818	32	25	even	even	ADV
ejpam-3818	32	26	or	or	CCONJ
ejpam-3818	32	27	n−1	n−1	PROPN
ejpam-3818	32	28	2	2	NUM
ejpam-3818	32	29	steps	step	NOUN
ejpam-3818	32	30	if	if	SCONJ
ejpam-3818	32	31	n	n	NOUN
ejpam-3818	32	32	is	be	AUX
ejpam-3818	32	33	odd	odd	ADJ
ejpam-3818	32	34	.	.	PUNCT
ejpam-3818	33	1	lu	lu	NOUN
ejpam-3818	33	2	factorization	factorization	NOUN
ejpam-3818	33	3	is	be	AUX
ejpam-3818	33	4	often	often	ADV
ejpam-3818	33	5	known	know	VERB
ejpam-3818	33	6	to	to	PART
ejpam-3818	33	7	be	be	AUX
ejpam-3818	33	8	implemented	implement	VERB
ejpam-3818	33	9	in	in	ADP
ejpam-3818	33	10	lapack	lapack	PROPN
ejpam-3818	33	11	library	library	NOUN
ejpam-3818	33	12	to	to	PART
ejpam-3818	33	13	exploit	exploit	VERB
ejpam-3818	33	14	the	the	DET
ejpam-3818	33	15	standard	standard	ADJ
ejpam-3818	33	16	software	software	NOUN
ejpam-3818	33	17	library	library	NOUN
ejpam-3818	33	18	architectures	architecture	NOUN
ejpam-3818	34	1	[	[	X
ejpam-3818	34	2	17	17	NUM
ejpam-3818	34	3	]	]	PUNCT
ejpam-3818	34	4	.	.	PUNCT
ejpam-3818	35	1	wz	wz	AUX
ejpam-3818	35	2	factorization	factorization	NOUN
ejpam-3818	35	3	offers	offer	VERB
ejpam-3818	35	4	parallelization	parallelization	NOUN
ejpam-3818	35	5	in	in	ADP
ejpam-3818	35	6	solving	solve	VERB
ejpam-3818	35	7	both	both	CCONJ
ejpam-3818	35	8	sparse	sparse	ADJ
ejpam-3818	35	9	and	and	CCONJ
ejpam-3818	35	10	dense	dense	ADJ
ejpam-3818	35	11	linear	linear	NOUN
ejpam-3818	35	12	system	system	NOUN
ejpam-3818	35	13	to	to	PART
ejpam-3818	35	14	enhance	enhance	VERB
ejpam-3818	35	15	performance	performance	NOUN
ejpam-3818	35	16	using	use	VERB
ejpam-3818	35	17	openmp	openmp	NOUN
ejpam-3818	35	18	,	,	PUNCT
ejpam-3818	35	19	cuda	cuda	NOUN
ejpam-3818	35	20	,	,	PUNCT
ejpam-3818	35	21	blas	blas	PROPN
ejpam-3818	35	22	or	or	CCONJ
ejpam-3818	35	23	edk	edk	PROPN
ejpam-3818	35	24	hw	hw	PROPN
ejpam-3818	35	25	/	/	SYM
ejpam-3818	35	26	sw	sw	PROPN
ejpam-3818	35	27	codesign	codesign	NOUN
ejpam-3818	35	28	architecture	architecture	NOUN
ejpam-3818	35	29	[	[	X
ejpam-3818	35	30	1	1	NUM
ejpam-3818	35	31	,	,	PUNCT
ejpam-3818	35	32	14	14	NUM
ejpam-3818	35	33	]	]	PUNCT
ejpam-3818	35	34	.	.	PUNCT
ejpam-3818	36	1	then	then	ADV
ejpam-3818	36	2	,	,	PUNCT
ejpam-3818	36	3	yalamov	yalamov	PROPN
ejpam-3818	36	4	[	[	X
ejpam-3818	36	5	42	42	NUM
ejpam-3818	36	6	]	]	PUNCT
ejpam-3818	36	7	presented	present	VERB
ejpam-3818	36	8	that	that	SCONJ
ejpam-3818	36	9	wz	wz	ADP
ejpam-3818	36	10	factorization	factorization	NOUN
ejpam-3818	36	11	is	be	AUX
ejpam-3818	36	12	faster	fast	ADJ
ejpam-3818	36	13	on	on	ADP
ejpam-3818	36	14	computer	computer	NOUN
ejpam-3818	36	15	with	with	ADP
ejpam-3818	36	16	a	a	DET
ejpam-3818	36	17	parallel	parallel	ADJ
ejpam-3818	36	18	architecture	architecture	NOUN
ejpam-3818	36	19	than	than	ADP
ejpam-3818	36	20	any	any	DET
ejpam-3818	36	21	other	other	ADJ
ejpam-3818	36	22	matrix	matrix	NOUN
ejpam-3818	36	23	factorization	factorization	NOUN
ejpam-3818	36	24	methods	method	NOUN
ejpam-3818	36	25	.	.	PUNCT
ejpam-3818	37	1	therefore	therefore	ADV
ejpam-3818	37	2	,	,	PUNCT
ejpam-3818	37	3	wz	wz	ADP
ejpam-3818	37	4	factorization	factorization	NOUN
ejpam-3818	37	5	has	have	VERB
ejpam-3818	37	6	the	the	DET
ejpam-3818	37	7	adaptability	adaptability	NOUN
ejpam-3818	37	8	to	to	PART
ejpam-3818	37	9	solve	solve	VERB
ejpam-3818	37	10	linear	linear	ADJ
ejpam-3818	37	11	systems	system	NOUN
ejpam-3818	37	12	on	on	ADP
ejpam-3818	37	13	single	single	ADJ
ejpam-3818	37	14	instruction	instruction	NOUN
ejpam-3818	37	15	,	,	PUNCT
ejpam-3818	37	16	multiple	multiple	ADJ
ejpam-3818	37	17	data	datum	NOUN
ejpam-3818	37	18	(	(	PUNCT
ejpam-3818	37	19	simd	simd	PROPN
ejpam-3818	37	20	)	)	PUNCT
ejpam-3818	37	21	or	or	CCONJ
ejpam-3818	37	22	multiple	multiple	ADJ
ejpam-3818	37	23	instruction	instruction	NOUN
ejpam-3818	37	24	,	,	PUNCT
ejpam-3818	37	25	multiple	multiple	ADJ
ejpam-3818	37	26	data	datum	NOUN
ejpam-3818	37	27	(	(	PUNCT
ejpam-3818	37	28	mimd	mimd	PROPN
ejpam-3818	37	29	)	)	PUNCT
ejpam-3818	37	30	shared	share	VERB
ejpam-3818	37	31	memory	memory	NOUN
ejpam-3818	37	32	parallel	parallel	ADJ
ejpam-3818	37	33	computers	computer	NOUN
ejpam-3818	37	34	or	or	CCONJ
ejpam-3818	37	35	mesh	mesh	NOUN
ejpam-3818	37	36	multiprocessors	multiprocessor	NOUN
ejpam-3818	37	37	,	,	PUNCT
ejpam-3818	37	38	see	see	VERB
ejpam-3818	37	39	[	[	X
ejpam-3818	37	40	3	3	NUM
ejpam-3818	37	41	,	,	PUNCT
ejpam-3818	37	42	27	27	NUM
ejpam-3818	37	43	,	,	PUNCT
ejpam-3818	37	44	30	30	NUM
ejpam-3818	37	45	]	]	PUNCT
ejpam-3818	37	46	and	and	CCONJ
ejpam-3818	37	47	the	the	DET
ejpam-3818	37	48	references	reference	NOUN
ejpam-3818	37	49	therein	therein	ADV
ejpam-3818	37	50	.	.	PUNCT
ejpam-3818	38	1	the	the	DET
ejpam-3818	38	2	efficiency	efficiency	NOUN
ejpam-3818	38	3	of	of	ADP
ejpam-3818	38	4	wz	wz	PROPN
ejpam-3818	38	5	factorization	factorization	NOUN
ejpam-3818	38	6	depends	depend	VERB
ejpam-3818	38	7	on	on	ADP
ejpam-3818	38	8	an	an	DET
ejpam-3818	38	9	efficacious	efficacious	ADJ
ejpam-3818	38	10	use	use	NOUN
ejpam-3818	38	11	of	of	ADP
ejpam-3818	38	12	the	the	DET
ejpam-3818	38	13	memory	memory	NOUN
ejpam-3818	38	14	echelon	echelon	NOUN
ejpam-3818	38	15	because	because	SCONJ
ejpam-3818	38	16	computational	computational	ADJ
ejpam-3818	38	17	cost	cost	NOUN
ejpam-3818	38	18	often	often	ADV
ejpam-3818	38	19	relies	rely	VERB
ejpam-3818	38	20	not	not	PART
ejpam-3818	38	21	only	only	ADV
ejpam-3818	38	22	on	on	ADP
ejpam-3818	38	23	the	the	DET
ejpam-3818	38	24	total	total	ADJ
ejpam-3818	38	25	number	number	NOUN
ejpam-3818	38	26	of	of	ADP
ejpam-3818	38	27	arithmetic	arithmetic	ADJ
ejpam-3818	38	28	operations	operation	NOUN
ejpam-3818	38	29	used	use	VERB
ejpam-3818	38	30	but	but	CCONJ
ejpam-3818	38	31	also	also	ADV
ejpam-3818	38	32	the	the	DET
ejpam-3818	38	33	data	data	NOUN
ejpam-3818	38	34	transferring	transfer	VERB
ejpam-3818	38	35	time	time	NOUN
ejpam-3818	38	36	between	between	ADP
ejpam-3818	38	37	different	different	ADJ
ejpam-3818	38	38	memory	memory	NOUN
ejpam-3818	38	39	levels	level	NOUN
ejpam-3818	38	40	[	[	X
ejpam-3818	38	41	9	9	NUM
ejpam-3818	38	42	]	]	PUNCT
ejpam-3818	38	43	.	.	PUNCT
ejpam-3818	39	1	in	in	ADP
ejpam-3818	39	2	wz	wz	ADP
ejpam-3818	39	3	factorization	factorization	NOUN
ejpam-3818	39	4	,	,	PUNCT
ejpam-3818	39	5	there	there	PRON
ejpam-3818	39	6	are	be	VERB
ejpam-3818	39	7	b	b	PROPN
ejpam-3818	39	8	n	n	PRON
ejpam-3818	39	9	2−1c	2−1c	NUM
ejpam-3818	39	10	∑	∑	PUNCT
ejpam-3818	39	11	k=1	k=1	PROPN
ejpam-3818	39	12	(	(	PUNCT
ejpam-3818	39	13	n−	n−	NOUN
ejpam-3818	39	14	2k	2k	NUM
ejpam-3818	39	15	)	)	PUNCT
ejpam-3818	39	16	of	of	ADP
ejpam-3818	39	17	2×	2×	NUM
ejpam-3818	39	18	2	2	NUM
ejpam-3818	39	19	linear	linear	NOUN
ejpam-3818	39	20	systems	system	NOUN
ejpam-3818	39	21	to	to	PART
ejpam-3818	39	22	be	be	AUX
ejpam-3818	39	23	solved	solve	VERB
ejpam-3818	39	24	which	which	DET
ejpam-3818	39	25	account	account	NOUN
ejpam-3818	39	26	o.	o.	PROPN
ejpam-3818	39	27	babarinsa	babarinsa	VERB
ejpam-3818	39	28	et	et	PROPN
ejpam-3818	39	29	al	al	PROPN
ejpam-3818	39	30	.	.	PUNCT
ejpam-3818	39	31	/	/	SYM
ejpam-3818	39	32	eur	eur	PROPN
ejpam-3818	39	33	.	.	PUNCT
ejpam-3818	40	1	j.	j.	PROPN
ejpam-3818	40	2	pure	pure	PROPN
ejpam-3818	40	3	appl	appl	PROPN
ejpam-3818	40	4	.	.	PROPN
ejpam-3818	40	5	math	math	PROPN
ejpam-3818	40	6	,	,	PUNCT
ejpam-3818	40	7	13	13	NUM
ejpam-3818	40	8	(	(	PUNCT
ejpam-3818	40	9	4	4	NUM
ejpam-3818	40	10	)	)	PUNCT
ejpam-3818	40	11	(	(	PUNCT
ejpam-3818	40	12	2020	2020	NUM
ejpam-3818	40	13	)	)	PUNCT
ejpam-3818	40	14	,	,	PUNCT
ejpam-3818	40	15	1035	1035	NUM
ejpam-3818	40	16	-	-	SYM
ejpam-3818	40	17	1054	1054	NUM
ejpam-3818	40	18	1037	1037	NUM
ejpam-3818	40	19	for	for	ADP
ejpam-3818	40	20	the	the	DET
ejpam-3818	40	21	elements	element	NOUN
ejpam-3818	40	22	in	in	ADP
ejpam-3818	40	23	w	w	PROPN
ejpam-3818	40	24	-matrix	-matrix	NOUN
ejpam-3818	40	25	and	and	CCONJ
ejpam-3818	40	26	z	z	NOUN
ejpam-3818	40	27	-	-	NOUN
ejpam-3818	40	28	matrix	matrix	NOUN
ejpam-3818	40	29	,	,	PUNCT
ejpam-3818	40	30	for	for	ADP
ejpam-3818	40	31	k	k	PROPN
ejpam-3818	40	32	=	=	SYM
ejpam-3818	40	33	1,2	1,2	NUM
ejpam-3818	40	34	,	,	PUNCT
ejpam-3818	40	35	...	...	PUNCT
ejpam-3818	40	36	,	,	PUNCT
ejpam-3818	40	37	bn	bn	NOUN
ejpam-3818	40	38	2c	2c	NUM
ejpam-3818	40	39	.	.	PUNCT
ejpam-3818	41	1	the	the	DET
ejpam-3818	41	2	direct	direct	ADJ
ejpam-3818	41	3	solver	solver	NOUN
ejpam-3818	41	4	of	of	ADP
ejpam-3818	41	5	linear	linear	PROPN
ejpam-3818	41	6	systems	system	NOUN
ejpam-3818	41	7	in	in	ADP
ejpam-3818	41	8	wz	wz	ADP
ejpam-3818	41	9	factorization	factorization	NOUN
ejpam-3818	41	10	algorithm	algorithm	NOUN
ejpam-3818	41	11	solely	solely	ADV
ejpam-3818	41	12	depends	depend	VERB
ejpam-3818	41	13	on	on	ADP
ejpam-3818	41	14	a	a	DET
ejpam-3818	41	15	classical	classical	ADJ
ejpam-3818	41	16	method	method	NOUN
ejpam-3818	41	17	called	call	VERB
ejpam-3818	41	18	cramer	cramer	PROPN
ejpam-3818	41	19	’s	’s	PART
ejpam-3818	41	20	rule	rule	NOUN
ejpam-3818	41	21	.	.	PUNCT
ejpam-3818	42	1	cramer	cramer	PROPN
ejpam-3818	42	2	’s	’s	PART
ejpam-3818	42	3	rule	rule	NOUN
ejpam-3818	42	4	solves	solve	VERB
ejpam-3818	42	5	the	the	DET
ejpam-3818	42	6	2×	2×	NUM
ejpam-3818	42	7	2	2	NUM
ejpam-3818	42	8	linear	linear	NOUN
ejpam-3818	42	9	systems	system	NOUN
ejpam-3818	42	10	of	of	ADP
ejpam-3818	42	11	wz	wz	PROPN
ejpam-3818	42	12	factorization	factorization	NOUN
ejpam-3818	42	13	under	under	ADP
ejpam-3818	42	14	the	the	DET
ejpam-3818	42	15	nonsingularity	nonsingularity	NOUN
ejpam-3818	42	16	constraint	constraint	NOUN
ejpam-3818	42	17	presumed	presume	VERB
ejpam-3818	42	18	for	for	ADP
ejpam-3818	42	19	their	their	PRON
ejpam-3818	42	20	determinants	determinant	NOUN
ejpam-3818	42	21	[	[	X
ejpam-3818	42	22	8	8	NUM
ejpam-3818	42	23	]	]	PUNCT
ejpam-3818	42	24	.	.	PUNCT
ejpam-3818	43	1	though	though	SCONJ
ejpam-3818	43	2	cramer	cramer	PROPN
ejpam-3818	43	3	’s	’s	PART
ejpam-3818	43	4	rule	rule	NOUN
ejpam-3818	43	5	is	be	AUX
ejpam-3818	43	6	assumed	assume	VERB
ejpam-3818	43	7	to	to	PART
ejpam-3818	43	8	be	be	AUX
ejpam-3818	43	9	less	less	ADV
ejpam-3818	43	10	practical	practical	ADJ
ejpam-3818	43	11	due	due	ADJ
ejpam-3818	43	12	to	to	ADP
ejpam-3818	43	13	its	its	PRON
ejpam-3818	43	14	setbacks	setback	NOUN
ejpam-3818	43	15	,	,	PUNCT
ejpam-3818	43	16	many	many	ADJ
ejpam-3818	43	17	modifications	modification	NOUN
ejpam-3818	43	18	have	have	AUX
ejpam-3818	43	19	been	be	AUX
ejpam-3818	43	20	made	make	VERB
ejpam-3818	43	21	on	on	ADP
ejpam-3818	43	22	cramer	cramer	PROPN
ejpam-3818	43	23	’s	’s	PART
ejpam-3818	43	24	rule	rule	NOUN
ejpam-3818	43	25	to	to	PART
ejpam-3818	43	26	solve	solve	VERB
ejpam-3818	43	27	simple	simple	ADJ
ejpam-3818	43	28	and	and	CCONJ
ejpam-3818	43	29	large	large	ADJ
ejpam-3818	43	30	linear	linear	NOUN
ejpam-3818	43	31	systems	system	NOUN
ejpam-3818	43	32	,	,	PUNCT
ejpam-3818	43	33	see	see	VERB
ejpam-3818	43	34	[	[	X
ejpam-3818	43	35	5	5	NUM
ejpam-3818	43	36	,	,	PUNCT
ejpam-3818	43	37	29	29	NUM
ejpam-3818	43	38	,	,	PUNCT
ejpam-3818	43	39	41	41	NUM
ejpam-3818	43	40	]	]	PUNCT
ejpam-3818	43	41	.	.	PUNCT
ejpam-3818	44	1	due	due	ADP
ejpam-3818	44	2	to	to	PART
ejpam-3818	44	3	round	round	VERB
ejpam-3818	44	4	off	off	ADP
ejpam-3818	44	5	errors	error	NOUN
ejpam-3818	44	6	which	which	PRON
ejpam-3818	44	7	may	may	AUX
ejpam-3818	44	8	become	become	VERB
ejpam-3818	44	9	significant	significant	ADJ
ejpam-3818	44	10	on	on	ADP
ejpam-3818	44	11	problems	problem	NOUN
ejpam-3818	44	12	with	with	ADP
ejpam-3818	44	13	non	non	ADJ
ejpam-3818	44	14	-	-	ADJ
ejpam-3818	44	15	integer	integer	ADJ
ejpam-3818	44	16	coefficients	coefficient	NOUN
ejpam-3818	44	17	,	,	PUNCT
ejpam-3818	44	18	moler	moler	NOUN
ejpam-3818	44	19	[	[	X
ejpam-3818	44	20	35	35	NUM
ejpam-3818	44	21	]	]	PUNCT
ejpam-3818	44	22	then	then	ADV
ejpam-3818	44	23	demonstrated	demonstrate	VERB
ejpam-3818	44	24	that	that	SCONJ
ejpam-3818	44	25	cramer	cramer	PROPN
ejpam-3818	44	26	’s	’s	PART
ejpam-3818	44	27	rule	rule	NOUN
ejpam-3818	44	28	is	be	AUX
ejpam-3818	44	29	inadequate	inadequate	ADJ
ejpam-3818	44	30	even	even	ADV
ejpam-3818	44	31	for	for	ADP
ejpam-3818	44	32	2×2	2×2	NUM
ejpam-3818	44	33	linear	linear	NOUN
ejpam-3818	44	34	systems	system	NOUN
ejpam-3818	44	35	.	.	PUNCT
ejpam-3818	45	1	however	however	ADV
ejpam-3818	45	2	,	,	PUNCT
ejpam-3818	45	3	dunham	dunham	PROPN
ejpam-3818	46	1	[	[	X
ejpam-3818	46	2	18	18	NUM
ejpam-3818	46	3	]	]	PUNCT
ejpam-3818	46	4	gave	give	VERB
ejpam-3818	46	5	a	a	DET
ejpam-3818	46	6	counter	counter	ADJ
ejpam-3818	46	7	example	example	NOUN
ejpam-3818	46	8	of	of	ADP
ejpam-3818	46	9	2×2	2×2	NUM
ejpam-3818	46	10	linear	linear	NOUN
ejpam-3818	46	11	system	system	NOUN
ejpam-3818	46	12	to	to	PART
ejpam-3818	46	13	show	show	VERB
ejpam-3818	46	14	that	that	SCONJ
ejpam-3818	46	15	cramer	cramer	PROPN
ejpam-3818	46	16	’s	’s	PART
ejpam-3818	46	17	rule	rule	NOUN
ejpam-3818	46	18	is	be	AUX
ejpam-3818	46	19	sufficient	sufficient	ADJ
ejpam-3818	46	20	.	.	PUNCT
ejpam-3818	47	1	linear	linear	ADJ
ejpam-3818	47	2	systems	system	NOUN
ejpam-3818	47	3	,	,	PUNCT
ejpam-3818	47	4	especially	especially	ADV
ejpam-3818	47	5	2×2	2×2	NUM
ejpam-3818	47	6	linear	linear	NOUN
ejpam-3818	47	7	equations	equation	NOUN
ejpam-3818	47	8	,	,	PUNCT
ejpam-3818	47	9	solved	solve	VERB
ejpam-3818	47	10	by	by	ADP
ejpam-3818	47	11	cramer	cramer	PROPN
ejpam-3818	47	12	’s	’s	PART
ejpam-3818	47	13	rule	rule	NOUN
ejpam-3818	47	14	can	can	AUX
ejpam-3818	47	15	be	be	AUX
ejpam-3818	47	16	forward	forward	ADV
ejpam-3818	47	17	stable	stable	ADJ
ejpam-3818	47	18	or	or	CCONJ
ejpam-3818	47	19	backward	backward	ADJ
ejpam-3818	47	20	stable	stable	ADJ
ejpam-3818	47	21	depending	depend	VERB
ejpam-3818	47	22	on	on	ADP
ejpam-3818	47	23	the	the	DET
ejpam-3818	47	24	conditioning	conditioning	NOUN
ejpam-3818	47	25	of	of	ADP
ejpam-3818	47	26	the	the	DET
ejpam-3818	47	27	system	system	NOUN
ejpam-3818	47	28	[	[	X
ejpam-3818	47	29	31	31	NUM
ejpam-3818	47	30	,	,	PUNCT
ejpam-3818	47	31	40	40	NUM
ejpam-3818	47	32	]	]	PUNCT
ejpam-3818	47	33	.	.	PUNCT
ejpam-3818	48	1	cramer	cramer	PROPN
ejpam-3818	48	2	’s	’s	PART
ejpam-3818	48	3	rule	rule	NOUN
ejpam-3818	48	4	and	and	CCONJ
ejpam-3818	48	5	gaussian	gaussian	ADJ
ejpam-3818	48	6	elimination	elimination	NOUN
ejpam-3818	48	7	requires	require	VERB
ejpam-3818	48	8	about	about	ADP
ejpam-3818	48	9	the	the	DET
ejpam-3818	48	10	same	same	ADJ
ejpam-3818	48	11	amount	amount	NOUN
ejpam-3818	48	12	of	of	ADP
ejpam-3818	48	13	arithmetic	arithmetic	ADJ
ejpam-3818	48	14	operations	operation	NOUN
ejpam-3818	48	15	for	for	ADP
ejpam-3818	48	16	finding	find	VERB
ejpam-3818	48	17	the	the	DET
ejpam-3818	48	18	solution	solution	NOUN
ejpam-3818	48	19	of	of	ADP
ejpam-3818	48	20	2×	2×	NUM
ejpam-3818	48	21	2	2	NUM
ejpam-3818	48	22	linear	linear	NOUN
ejpam-3818	48	23	systems	system	NOUN
ejpam-3818	48	24	,	,	PUNCT
ejpam-3818	48	25	but	but	CCONJ
ejpam-3818	48	26	cramer	cramer	PROPN
ejpam-3818	48	27	’s	’s	PART
ejpam-3818	48	28	rule	rule	NOUN
ejpam-3818	48	29	yields	yield	NOUN
ejpam-3818	48	30	a	a	DET
ejpam-3818	48	31	highly	highly	ADV
ejpam-3818	48	32	accuracy	accuracy	NOUN
ejpam-3818	48	33	and	and	CCONJ
ejpam-3818	48	34	stability	stability	NOUN
ejpam-3818	48	35	than	than	ADP
ejpam-3818	48	36	gaussian	gaussian	ADJ
ejpam-3818	48	37	elimination	elimination	NOUN
ejpam-3818	48	38	even	even	ADV
ejpam-3818	48	39	with	with	ADP
ejpam-3818	48	40	pivoting	pivot	VERB
ejpam-3818	48	41	[	[	PUNCT
ejpam-3818	48	42	16	16	NUM
ejpam-3818	48	43	,	,	PUNCT
ejpam-3818	48	44	29	29	NUM
ejpam-3818	48	45	]	]	PUNCT
ejpam-3818	48	46	.	.	PUNCT
ejpam-3818	49	1	for	for	ADP
ejpam-3818	49	2	this	this	DET
ejpam-3818	49	3	reason	reason	NOUN
ejpam-3818	49	4	,	,	PUNCT
ejpam-3818	49	5	cramer	cramer	PROPN
ejpam-3818	49	6	’s	’s	PART
ejpam-3818	49	7	rule	rule	NOUN
ejpam-3818	49	8	has	have	AUX
ejpam-3818	49	9	been	be	AUX
ejpam-3818	49	10	applied	apply	VERB
ejpam-3818	49	11	to	to	PART
ejpam-3818	49	12	solve	solve	VERB
ejpam-3818	49	13	the	the	DET
ejpam-3818	49	14	linear	linear	PROPN
ejpam-3818	49	15	systems	system	NOUN
ejpam-3818	49	16	in	in	ADP
ejpam-3818	49	17	wz	wz	ADP
ejpam-3818	49	18	factorization	factorization	NOUN
ejpam-3818	49	19	for	for	ADP
ejpam-3818	49	20	over	over	ADP
ejpam-3818	49	21	three	three	NUM
ejpam-3818	49	22	decades	decade	NOUN
ejpam-3818	49	23	.	.	PUNCT
ejpam-3818	50	1	therefore	therefore	ADV
ejpam-3818	50	2	,	,	PUNCT
ejpam-3818	50	3	in	in	ADP
ejpam-3818	50	4	section	section	NOUN
ejpam-3818	50	5	2	2	NUM
ejpam-3818	50	6	,	,	PUNCT
ejpam-3818	50	7	we	we	PRON
ejpam-3818	50	8	proposed	propose	VERB
ejpam-3818	50	9	a	a	DET
ejpam-3818	50	10	method	method	NOUN
ejpam-3818	50	11	to	to	PART
ejpam-3818	50	12	optimize	optimize	VERB
ejpam-3818	50	13	cramer	cramer	PROPN
ejpam-3818	50	14	’s	’s	PART
ejpam-3818	50	15	rule	rule	NOUN
ejpam-3818	50	16	.	.	PUNCT
ejpam-3818	51	1	while	while	SCONJ
ejpam-3818	51	2	in	in	ADP
ejpam-3818	51	3	section	section	NOUN
ejpam-3818	51	4	3	3	NUM
ejpam-3818	51	5	,	,	PUNCT
ejpam-3818	51	6	we	we	PRON
ejpam-3818	51	7	apply	apply	VERB
ejpam-3818	51	8	the	the	DET
ejpam-3818	51	9	proposed	propose	VERB
ejpam-3818	51	10	method	method	NOUN
ejpam-3818	51	11	in	in	ADP
ejpam-3818	51	12	wz	wz	ADP
ejpam-3818	51	13	factorization	factorization	NOUN
ejpam-3818	51	14	on	on	ADP
ejpam-3818	51	15	sparse	sparse	ADJ
ejpam-3818	51	16	matrices	matrix	NOUN
ejpam-3818	51	17	via	via	ADP
ejpam-3818	51	18	matlab	matlab	PROPN
ejpam-3818	51	19	r2017b	r2017b	PROPN
ejpam-3818	51	20	and	and	CCONJ
ejpam-3818	51	21	r2019b	r2019b	PRON
ejpam-3818	51	22	respectively	respectively	ADV
ejpam-3818	51	23	.	.	PUNCT
ejpam-3818	52	1	then	then	ADV
ejpam-3818	52	2	,	,	PUNCT
ejpam-3818	52	3	the	the	DET
ejpam-3818	52	4	performance	performance	NOUN
ejpam-3818	52	5	time	time	NOUN
ejpam-3818	52	6	and	and	CCONJ
ejpam-3818	52	7	the	the	DET
ejpam-3818	52	8	matrix	matrix	NOUN
ejpam-3818	52	9	norm	norm	NOUN
ejpam-3818	52	10	of	of	ADP
ejpam-3818	52	11	optimized	optimize	VERB
ejpam-3818	52	12	cramer	cramer	NOUN
ejpam-3818	52	13	’s	’s	PART
ejpam-3818	52	14	rule	rule	NOUN
ejpam-3818	52	15	and	and	CCONJ
ejpam-3818	52	16	classical	classical	ADJ
ejpam-3818	52	17	cramer	cramer	NOUN
ejpam-3818	52	18	’s	’s	PART
ejpam-3818	52	19	rule	rule	NOUN
ejpam-3818	52	20	in	in	ADP
ejpam-3818	52	21	wz	wz	ADP
ejpam-3818	52	22	factorization	factorization	NOUN
ejpam-3818	52	23	and	and	CCONJ
ejpam-3818	52	24	lu	lu	NOUN
ejpam-3818	52	25	factorization	factorization	NOUN
ejpam-3818	52	26	are	be	AUX
ejpam-3818	52	27	compared	compare	VERB
ejpam-3818	52	28	on	on	ADP
ejpam-3818	52	29	amd	amd	PROPN
ejpam-3818	52	30	ryzen	ryzen	ADJ
ejpam-3818	52	31	5	5	NUM
ejpam-3818	52	32	1500x	1500x	NOUN
ejpam-3818	52	33	and	and	CCONJ
ejpam-3818	52	34	intel	intel	PROPN
ejpam-3818	52	35	core	core	PROPN
ejpam-3818	52	36	i5	i5	PROPN
ejpam-3818	52	37	-	-	PUNCT
ejpam-3818	52	38	7500	7500	NUM
ejpam-3818	52	39	processor	processor	NOUN
ejpam-3818	52	40	each	each	PRON
ejpam-3818	52	41	having	have	VERB
ejpam-3818	52	42	four	four	NUM
ejpam-3818	52	43	cores	core	NOUN
ejpam-3818	52	44	and	and	CCONJ
ejpam-3818	52	45	16	16	NUM
ejpam-3818	52	46	gb	gb	NOUN
ejpam-3818	52	47	ram	ram	NOUN
ejpam-3818	52	48	with	with	ADP
ejpam-3818	52	49	standard	standard	ADJ
ejpam-3818	52	50	hardware	hardware	NOUN
ejpam-3818	52	51	.	.	PUNCT
ejpam-3818	53	1	furthermore	furthermore	ADV
ejpam-3818	53	2	,	,	PUNCT
ejpam-3818	53	3	we	we	PRON
ejpam-3818	53	4	relate	relate	VERB
ejpam-3818	53	5	schur	schur	PROPN
ejpam-3818	53	6	complement	complement	PROPN
ejpam-3818	53	7	and	and	CCONJ
ejpam-3818	53	8	matrix	matrix	NOUN
ejpam-3818	53	9	group	group	NOUN
ejpam-3818	53	10	to	to	ADP
ejpam-3818	53	11	the	the	DET
ejpam-3818	53	12	partition	partition	NOUN
ejpam-3818	53	13	of	of	ADP
ejpam-3818	53	14	z	z	NOUN
ejpam-3818	53	15	-	-	NOUN
ejpam-3818	53	16	matrix	matrix	NOUN
ejpam-3818	53	17	into	into	ADP
ejpam-3818	53	18	2×2	2×2	NUM
ejpam-3818	53	19	block	block	NOUN
ejpam-3818	53	20	triangular	triangular	NOUN
ejpam-3818	53	21	matrices	matrix	NOUN
ejpam-3818	53	22	.	.	PUNCT
ejpam-3818	54	1	2	2	X
ejpam-3818	54	2	.	.	X
ejpam-3818	54	3	solving	solve	VERB
ejpam-3818	54	4	simple	simple	ADJ
ejpam-3818	54	5	linear	linear	NOUN
ejpam-3818	54	6	systems	system	NOUN
ejpam-3818	54	7	with	with	ADP
ejpam-3818	54	8	optimized	optimize	VERB
ejpam-3818	54	9	cramer	cramer	NOUN
ejpam-3818	54	10	’s	’s	PART
ejpam-3818	54	11	rule	rule	NOUN
ejpam-3818	54	12	a	a	DET
ejpam-3818	54	13	linear	linear	ADJ
ejpam-3818	54	14	system	system	NOUN
ejpam-3818	54	15	is	be	AUX
ejpam-3818	54	16	defined	define	VERB
ejpam-3818	54	17	by	by	ADP
ejpam-3818	54	18	bx	bx	X
ejpam-3818	54	19	=	=	SYM
ejpam-3818	54	20	c	c	PROPN
ejpam-3818	54	21	,	,	PUNCT
ejpam-3818	54	22	(	(	PUNCT
ejpam-3818	54	23	3	3	X
ejpam-3818	54	24	)	)	PUNCT
ejpam-3818	54	25	where	where	SCONJ
ejpam-3818	54	26	det(b	det(b	NOUN
ejpam-3818	54	27	)	)	PUNCT
ejpam-3818	54	28	6=	6=	ADP
ejpam-3818	54	29	0	0	NUM
ejpam-3818	54	30	,	,	PUNCT
ejpam-3818	54	31	x	x	PUNCT
ejpam-3818	55	1	=	=	PUNCT
ejpam-3818	56	1	[	[	X
ejpam-3818	56	2	x1,x2	x1,x2	PROPN
ejpam-3818	56	3	,	,	PUNCT
ejpam-3818	56	4	...	...	PUNCT
ejpam-3818	56	5	,	,	PUNCT
ejpam-3818	56	6	xn	xn	PROPN
ejpam-3818	56	7	]	]	X
ejpam-3818	56	8	t	t	X
ejpam-3818	56	9	,	,	PUNCT
ejpam-3818	56	10	c	c	PROPN
ejpam-3818	56	11	=	=	PUNCT
ejpam-3818	57	1	[	[	X
ejpam-3818	57	2	c1,c2	c1,c2	PROPN
ejpam-3818	57	3	,	,	PUNCT
ejpam-3818	57	4	...	...	PUNCT
ejpam-3818	57	5	,	,	PUNCT
ejpam-3818	57	6	cn	cn	PROPN
ejpam-3818	57	7	]	]	X
ejpam-3818	57	8	t	t	PROPN
ejpam-3818	57	9	,	,	PUNCT
ejpam-3818	57	10	b	b	PROPN
ejpam-3818	57	11	∈	∈	PROPN
ejpam-3818	57	12	rn×n	rn×n	NOUN
ejpam-3818	57	13	,	,	PUNCT
ejpam-3818	57	14	x	x	X
ejpam-3818	57	15	,	,	PUNCT
ejpam-3818	57	16	c	c	PROPN
ejpam-3818	57	17	∈	∈	PROPN
ejpam-3818	57	18	rn	rn	PROPN
ejpam-3818	57	19	.	.	PROPN
ejpam-3818	57	20	theorem	theorem	VERB
ejpam-3818	57	21	1	1	NUM
ejpam-3818	57	22	.	.	PUNCT
ejpam-3818	58	1	[	[	X
ejpam-3818	58	2	31][cramer	31][cramer	NUM
ejpam-3818	58	3	’s	’s	PART
ejpam-3818	58	4	rule	rule	NOUN
ejpam-3818	58	5	]	]	PUNCT
ejpam-3818	58	6	let	let	VERB
ejpam-3818	58	7	bx	bx	NOUN
ejpam-3818	58	8	=	=	PUNCT
ejpam-3818	58	9	c	c	AUX
ejpam-3818	58	10	be	be	AUX
ejpam-3818	58	11	an	an	DET
ejpam-3818	58	12	n×n	n×n	PROPN
ejpam-3818	58	13	system	system	NOUN
ejpam-3818	58	14	of	of	ADP
ejpam-3818	58	15	linear	linear	ADJ
ejpam-3818	58	16	equation	equation	NOUN
ejpam-3818	58	17	and	and	CCONJ
ejpam-3818	58	18	b	b	DET
ejpam-3818	58	19	an	an	DET
ejpam-3818	58	20	n×n	n×n	PROPN
ejpam-3818	58	21	nonsingular	nonsingular	ADJ
ejpam-3818	58	22	matrix	matrix	NOUN
ejpam-3818	58	23	,	,	PUNCT
ejpam-3818	58	24	then	then	ADV
ejpam-3818	58	25	the	the	DET
ejpam-3818	58	26	unique	unique	ADJ
ejpam-3818	58	27	solution	solution	NOUN
ejpam-3818	58	28	x	x	PUNCT
ejpam-3818	58	29	=	=	PUNCT
ejpam-3818	59	1	[	[	X
ejpam-3818	59	2	x1,x2	x1,x2	PROPN
ejpam-3818	59	3	,	,	PUNCT
ejpam-3818	59	4	...	...	PUNCT
ejpam-3818	59	5	,	,	PUNCT
ejpam-3818	59	6	xn	xn	PROPN
ejpam-3818	59	7	]	]	X
ejpam-3818	59	8	t	t	X
ejpam-3818	59	9	to	to	ADP
ejpam-3818	59	10	the	the	DET
ejpam-3818	59	11	linear	linear	ADJ
ejpam-3818	59	12	system	system	NOUN
ejpam-3818	59	13	is	be	AUX
ejpam-3818	59	14	given	give	VERB
ejpam-3818	59	15	by	by	ADP
ejpam-3818	59	16	xi	xi	PROPN
ejpam-3818	59	17	=	=	SYM
ejpam-3818	59	18	det(bi|c	det(bi|c	PROPN
ejpam-3818	59	19	)	)	PUNCT
ejpam-3818	59	20	det(b	det(b	PROPN
ejpam-3818	59	21	)	)	PUNCT
ejpam-3818	59	22	,	,	PUNCT
ejpam-3818	59	23	(	(	PUNCT
ejpam-3818	59	24	4	4	X
ejpam-3818	59	25	)	)	PUNCT
ejpam-3818	59	26	where	where	SCONJ
ejpam-3818	59	27	bi|c	bi|c	PROPN
ejpam-3818	59	28	is	be	AUX
ejpam-3818	59	29	the	the	DET
ejpam-3818	59	30	matrix	matrix	NOUN
ejpam-3818	59	31	obtained	obtain	VERB
ejpam-3818	59	32	from	from	ADP
ejpam-3818	59	33	coefficient	coefficient	NOUN
ejpam-3818	59	34	matrix	matrix	NOUN
ejpam-3818	59	35	b	b	NOUN
ejpam-3818	59	36	by	by	ADP
ejpam-3818	59	37	substituting	substitute	VERB
ejpam-3818	59	38	the	the	DET
ejpam-3818	59	39	column	column	NOUN
ejpam-3818	59	40	vector	vector	NOUN
ejpam-3818	59	41	c	c	PROPN
ejpam-3818	59	42	to	to	ADP
ejpam-3818	59	43	the	the	DET
ejpam-3818	59	44	ith	ith	PROPN
ejpam-3818	59	45	column	column	NOUN
ejpam-3818	59	46	of	of	ADP
ejpam-3818	59	47	b	b	PROPN
ejpam-3818	59	48	,	,	PUNCT
ejpam-3818	59	49	for	for	ADP
ejpam-3818	59	50	i	i	PROPN
ejpam-3818	59	51	=	=	SYM
ejpam-3818	59	52	1,2	1,2	NUM
ejpam-3818	59	53	,	,	PUNCT
ejpam-3818	59	54	...	...	PUNCT
ejpam-3818	59	55	,	,	PUNCT
ejpam-3818	59	56	n.	n.	PROPN
ejpam-3818	59	57	let	let	VERB
ejpam-3818	59	58	c1	c1	PROPN
ejpam-3818	59	59	be	be	AUX
ejpam-3818	59	60	the	the	DET
ejpam-3818	59	61	row	row	NOUN
ejpam-3818	59	62	sum	sum	NOUN
ejpam-3818	59	63	of	of	ADP
ejpam-3818	59	64	matrix	matrix	NOUN
ejpam-3818	59	65	b.	b.	PROPN
ejpam-3818	60	1	if	if	SCONJ
ejpam-3818	60	2	the	the	DET
ejpam-3818	60	3	ith	ith	PROPN
ejpam-3818	60	4	column	column	NOUN
ejpam-3818	60	5	of	of	ADP
ejpam-3818	60	6	matrix	matrix	NOUN
ejpam-3818	60	7	b	b	NOUN
ejpam-3818	60	8	is	be	AUX
ejpam-3818	60	9	replaced	replace	VERB
ejpam-3818	60	10	with	with	ADP
ejpam-3818	60	11	c1	c1	PROPN
ejpam-3818	60	12	to	to	PART
ejpam-3818	60	13	obtain	obtain	VERB
ejpam-3818	60	14	a	a	DET
ejpam-3818	60	15	new	new	ADJ
ejpam-3818	60	16	matrix	matrix	NOUN
ejpam-3818	60	17	bi|c1	bi|c1	NOUN
ejpam-3818	60	18	with	with	ADP
ejpam-3818	60	19	all	all	DET
ejpam-3818	60	20	other	other	ADJ
ejpam-3818	60	21	columns	column	NOUN
ejpam-3818	60	22	in	in	ADP
ejpam-3818	60	23	b	b	NOUN
ejpam-3818	60	24	and	and	CCONJ
ejpam-3818	60	25	bi|c1	bi|c1	NOUN
ejpam-3818	60	26	remain	remain	VERB
ejpam-3818	60	27	the	the	DET
ejpam-3818	60	28	same	same	ADJ
ejpam-3818	60	29	,	,	PUNCT
ejpam-3818	60	30	for	for	ADP
ejpam-3818	60	31	i	i	PROPN
ejpam-3818	60	32	=	=	SYM
ejpam-3818	60	33	1,2	1,2	NUM
ejpam-3818	60	34	,	,	PUNCT
ejpam-3818	60	35	...	...	PUNCT
ejpam-3818	60	36	,	,	PUNCT
ejpam-3818	60	37	n.	n.	PROPN
ejpam-3818	61	1	then	then	ADV
ejpam-3818	61	2	,	,	PUNCT
ejpam-3818	61	3	det(b	det(b	PROPN
ejpam-3818	61	4	)	)	PUNCT
ejpam-3818	61	5	=	=	NOUN
ejpam-3818	61	6	det(bi|c1	det(bi|c1	PROPN
ejpam-3818	61	7	)	)	PUNCT
ejpam-3818	61	8	.	.	PUNCT
ejpam-3818	62	1	(	(	PUNCT
ejpam-3818	62	2	5	5	X
ejpam-3818	62	3	)	)	PUNCT
ejpam-3818	62	4	o.	o.	NOUN
ejpam-3818	62	5	babarinsa	babarinsa	VERB
ejpam-3818	62	6	et	et	PROPN
ejpam-3818	62	7	al	al	PROPN
ejpam-3818	62	8	.	.	PUNCT
ejpam-3818	62	9	/	/	SYM
ejpam-3818	62	10	eur	eur	PROPN
ejpam-3818	62	11	.	.	PUNCT
ejpam-3818	63	1	j.	j.	PROPN
ejpam-3818	63	2	pure	pure	PROPN
ejpam-3818	63	3	appl	appl	PROPN
ejpam-3818	63	4	.	.	PROPN
ejpam-3818	63	5	math	math	PROPN
ejpam-3818	63	6	,	,	PUNCT
ejpam-3818	63	7	13	13	NUM
ejpam-3818	63	8	(	(	PUNCT
ejpam-3818	63	9	4	4	NUM
ejpam-3818	63	10	)	)	PUNCT
ejpam-3818	63	11	(	(	PUNCT
ejpam-3818	63	12	2020	2020	NUM
ejpam-3818	63	13	)	)	PUNCT
ejpam-3818	63	14	,	,	PUNCT
ejpam-3818	63	15	1035	1035	NUM
ejpam-3818	63	16	-	-	SYM
ejpam-3818	63	17	1054	1054	NUM
ejpam-3818	63	18	1038	1038	NUM
ejpam-3818	63	19	it	it	PRON
ejpam-3818	63	20	is	be	AUX
ejpam-3818	63	21	a	a	DET
ejpam-3818	63	22	well	well	ADV
ejpam-3818	63	23	-	-	PUNCT
ejpam-3818	63	24	established	establish	VERB
ejpam-3818	63	25	theorem	theorem	NOUN
ejpam-3818	63	26	that	that	SCONJ
ejpam-3818	63	27	if	if	SCONJ
ejpam-3818	63	28	the	the	DET
ejpam-3818	63	29	ith	ith	PROPN
ejpam-3818	63	30	column	column	NOUN
ejpam-3818	63	31	of	of	ADP
ejpam-3818	63	32	matrix	matrix	NOUN
ejpam-3818	63	33	b	b	NOUN
ejpam-3818	63	34	is	be	AUX
ejpam-3818	63	35	the	the	DET
ejpam-3818	63	36	difference	difference	NOUN
ejpam-3818	63	37	of	of	ADP
ejpam-3818	63	38	the	the	DET
ejpam-3818	63	39	ith	ith	PROPN
ejpam-3818	63	40	column	column	NOUN
ejpam-3818	63	41	of	of	ADP
ejpam-3818	63	42	matrix	matrix	NOUN
ejpam-3818	63	43	di	di	NOUN
ejpam-3818	63	44	and	and	CCONJ
ejpam-3818	63	45	the	the	DET
ejpam-3818	63	46	ith	ith	PROPN
ejpam-3818	63	47	column	column	NOUN
ejpam-3818	63	48	of	of	ADP
ejpam-3818	63	49	matrix	matrix	NOUN
ejpam-3818	63	50	ei	ei	NOUN
ejpam-3818	63	51	,	,	PUNCT
ejpam-3818	63	52	and	and	CCONJ
ejpam-3818	63	53	all	all	DET
ejpam-3818	63	54	other	other	ADJ
ejpam-3818	63	55	columns	column	NOUN
ejpam-3818	63	56	in	in	ADP
ejpam-3818	63	57	d	d	PROPN
ejpam-3818	63	58	and	and	CCONJ
ejpam-3818	63	59	e	e	NOUN
ejpam-3818	63	60	are	be	AUX
ejpam-3818	63	61	equal	equal	ADJ
ejpam-3818	63	62	to	to	ADP
ejpam-3818	63	63	the	the	DET
ejpam-3818	63	64	corresponding	correspond	VERB
ejpam-3818	63	65	columns	column	NOUN
ejpam-3818	63	66	in	in	ADP
ejpam-3818	63	67	b	b	NOUN
ejpam-3818	63	68	,	,	PUNCT
ejpam-3818	63	69	for	for	ADP
ejpam-3818	63	70	i	i	PROPN
ejpam-3818	63	71	=	=	SYM
ejpam-3818	63	72	1,2	1,2	NUM
ejpam-3818	63	73	,	,	PUNCT
ejpam-3818	63	74	...	...	PUNCT
ejpam-3818	63	75	,	,	PUNCT
ejpam-3818	63	76	n	n	PROPN
ejpam-3818	63	77	[	[	X
ejpam-3818	63	78	2	2	NUM
ejpam-3818	63	79	]	]	PUNCT
ejpam-3818	63	80	.	.	PUNCT
ejpam-3818	64	1	then	then	ADV
ejpam-3818	64	2	det(b	det(b	PROPN
ejpam-3818	64	3	)	)	PUNCT
ejpam-3818	64	4	=	=	PUNCT
ejpam-3818	64	5	det(d)−det(e	det(d)−det(e	X
ejpam-3818	64	6	)	)	PUNCT
ejpam-3818	64	7	.	.	PUNCT
ejpam-3818	65	1	(	(	PUNCT
ejpam-3818	65	2	6	6	X
ejpam-3818	65	3	)	)	PUNCT
ejpam-3818	65	4	corollary	corollary	ADJ
ejpam-3818	65	5	1	1	NUM
ejpam-3818	65	6	.	.	PUNCT
ejpam-3818	66	1	let	let	VERB
ejpam-3818	66	2	bx	bx	VERB
ejpam-3818	66	3	=	=	PUNCT
ejpam-3818	66	4	c	c	AUX
ejpam-3818	66	5	be	be	AUX
ejpam-3818	66	6	an	an	DET
ejpam-3818	66	7	n×n	n×n	PROPN
ejpam-3818	66	8	system	system	NOUN
ejpam-3818	66	9	of	of	ADP
ejpam-3818	66	10	linear	linear	ADJ
ejpam-3818	66	11	equation	equation	NOUN
ejpam-3818	66	12	and	and	CCONJ
ejpam-3818	66	13	b	b	DET
ejpam-3818	66	14	an	an	DET
ejpam-3818	66	15	n×n	n×n	PROPN
ejpam-3818	66	16	nonsingular	nonsingular	ADJ
ejpam-3818	66	17	matrix	matrix	NOUN
ejpam-3818	66	18	of	of	ADP
ejpam-3818	66	19	x	x	PRON
ejpam-3818	66	20	,	,	PUNCT
ejpam-3818	66	21	then	then	ADV
ejpam-3818	66	22	the	the	DET
ejpam-3818	66	23	ith	ith	PROPN
ejpam-3818	66	24	entry	entry	NOUN
ejpam-3818	66	25	xi	xi	X
ejpam-3818	66	26	of	of	ADP
ejpam-3818	66	27	the	the	DET
ejpam-3818	66	28	unique	unique	ADJ
ejpam-3818	66	29	solution	solution	NOUN
ejpam-3818	66	30	x	x	PUNCT
ejpam-3818	67	1	=	=	PUNCT
ejpam-3818	68	1	[	[	X
ejpam-3818	68	2	x1,x2	x1,x2	PROPN
ejpam-3818	68	3	,	,	PUNCT
ejpam-3818	68	4	...	...	PUNCT
ejpam-3818	68	5	,	,	PUNCT
ejpam-3818	68	6	xn	xn	PROPN
ejpam-3818	68	7	]	]	X
ejpam-3818	68	8	t	t	X
ejpam-3818	68	9	to	to	ADP
ejpam-3818	68	10	the	the	DET
ejpam-3818	68	11	linear	linear	ADJ
ejpam-3818	68	12	system	system	NOUN
ejpam-3818	68	13	is	be	AUX
ejpam-3818	68	14	given	give	VERB
ejpam-3818	68	15	by	by	ADP
ejpam-3818	68	16	xi	xi	X
ejpam-3818	68	17	=	=	NOUN
ejpam-3818	68	18	−	−	PROPN
ejpam-3818	68	19	det(bi−(c+c1	det(bi−(c+c1	PROPN
ejpam-3818	68	20	)	)	PUNCT
ejpam-3818	68	21	)	)	PUNCT
ejpam-3818	68	22	det(b	det(b	PROPN
ejpam-3818	68	23	)	)	PUNCT
ejpam-3818	68	24	,	,	PUNCT
ejpam-3818	68	25	(	(	PUNCT
ejpam-3818	68	26	7	7	X
ejpam-3818	68	27	)	)	PUNCT
ejpam-3818	68	28	where	where	SCONJ
ejpam-3818	68	29	bi−(c+c1	bi−(c+c1	VERB
ejpam-3818	68	30	)	)	PUNCT
ejpam-3818	68	31	is	be	AUX
ejpam-3818	68	32	the	the	DET
ejpam-3818	68	33	matrix	matrix	NOUN
ejpam-3818	68	34	obtained	obtain	VERB
ejpam-3818	68	35	by	by	ADP
ejpam-3818	68	36	subtracting	subtract	VERB
ejpam-3818	68	37	the	the	DET
ejpam-3818	68	38	sum	sum	NOUN
ejpam-3818	68	39	of	of	ADP
ejpam-3818	68	40	column	column	NOUN
ejpam-3818	68	41	vector	vector	NOUN
ejpam-3818	68	42	c	c	PROPN
ejpam-3818	68	43	and	and	CCONJ
ejpam-3818	68	44	c1	c1	PROPN
ejpam-3818	68	45	the	the	DET
ejpam-3818	68	46	row	row	NOUN
ejpam-3818	68	47	sum	sum	NOUN
ejpam-3818	68	48	of	of	ADP
ejpam-3818	68	49	the	the	DET
ejpam-3818	68	50	coefficient	coefficient	NOUN
ejpam-3818	68	51	matrix	matrix	NOUN
ejpam-3818	68	52	from	from	ADP
ejpam-3818	68	53	the	the	DET
ejpam-3818	68	54	ith	ith	PROPN
ejpam-3818	68	55	column	column	NOUN
ejpam-3818	68	56	of	of	ADP
ejpam-3818	68	57	b	b	PROPN
ejpam-3818	68	58	,	,	PUNCT
ejpam-3818	68	59	for	for	ADP
ejpam-3818	68	60	i	i	PROPN
ejpam-3818	68	61	=	=	SYM
ejpam-3818	68	62	1,2	1,2	NUM
ejpam-3818	68	63	,	,	PUNCT
ejpam-3818	68	64	...	...	PUNCT
ejpam-3818	68	65	,	,	PUNCT
ejpam-3818	68	66	n.	n.	NOUN
ejpam-3818	68	67	proof	proof	NOUN
ejpam-3818	68	68	.	.	PUNCT
ejpam-3818	69	1	let	let	VERB
ejpam-3818	69	2	c2	c2	PROPN
ejpam-3818	69	3	=	=	PUNCT
ejpam-3818	69	4	c+	c+	PROPN
ejpam-3818	69	5	c1	c1	NOUN
ejpam-3818	69	6	,	,	PUNCT
ejpam-3818	69	7	where	where	SCONJ
ejpam-3818	69	8	c	c	PROPN
ejpam-3818	69	9	is	be	AUX
ejpam-3818	69	10	the	the	DET
ejpam-3818	69	11	column	column	NOUN
ejpam-3818	69	12	vector	vector	NOUN
ejpam-3818	69	13	and	and	CCONJ
ejpam-3818	69	14	c1	c1	PROPN
ejpam-3818	69	15	the	the	DET
ejpam-3818	69	16	row	row	NOUN
ejpam-3818	69	17	sum	sum	NOUN
ejpam-3818	69	18	of	of	ADP
ejpam-3818	69	19	matrix	matrix	NOUN
ejpam-3818	69	20	b.	b.	PROPN
ejpam-3818	70	1	if	if	SCONJ
ejpam-3818	70	2	c2	c2	PROPN
ejpam-3818	70	3	is	be	AUX
ejpam-3818	70	4	subtracted	subtract	VERB
ejpam-3818	70	5	from	from	ADP
ejpam-3818	70	6	the	the	DET
ejpam-3818	70	7	ith	ith	PROPN
ejpam-3818	70	8	column	column	NOUN
ejpam-3818	70	9	of	of	ADP
ejpam-3818	70	10	matrix	matrix	NOUN
ejpam-3818	70	11	b	b	NOUN
ejpam-3818	70	12	,	,	PUNCT
ejpam-3818	70	13	then	then	ADV
ejpam-3818	70	14	we	we	PRON
ejpam-3818	70	15	can	can	AUX
ejpam-3818	70	16	re	re	VERB
ejpam-3818	70	17	-	-	VERB
ejpam-3818	70	18	write	write	ADJ
ejpam-3818	70	19	equation	equation	NOUN
ejpam-3818	70	20	(	(	PUNCT
ejpam-3818	70	21	6	6	NUM
ejpam-3818	70	22	)	)	PUNCT
ejpam-3818	70	23	as	as	ADP
ejpam-3818	70	24	det(bi−c2	det(bi−c2	X
ejpam-3818	70	25	)	)	PUNCT
ejpam-3818	71	1	=	=	SYM
ejpam-3818	71	2	det(b)−det(bi|c2	det(b)−det(bi|c2	NOUN
ejpam-3818	71	3	)	)	PUNCT
ejpam-3818	71	4	.	.	PUNCT
ejpam-3818	72	1	(	(	PUNCT
ejpam-3818	72	2	8)	8)	NUM
ejpam-3818	72	3	but	but	CCONJ
ejpam-3818	72	4	det(bi|c2	det(bi|c2	NOUN
ejpam-3818	72	5	)	)	PUNCT
ejpam-3818	72	6	=	=	SYM
ejpam-3818	72	7	det(bi|(c+c1	det(bi|(c+c1	ADJ
ejpam-3818	72	8	)	)	PUNCT
ejpam-3818	72	9	)	)	PUNCT
ejpam-3818	73	1	=	=	SYM
ejpam-3818	73	2	det(bi|c)+det(bi|c1	det(bi|c)+det(bi|c1	NOUN
ejpam-3818	73	3	)	)	PUNCT
ejpam-3818	73	4	.	.	PUNCT
ejpam-3818	74	1	(	(	PUNCT
ejpam-3818	74	2	9	9	X
ejpam-3818	74	3	)	)	PUNCT
ejpam-3818	74	4	substitute	substitute	NOUN
ejpam-3818	74	5	equation	equation	NOUN
ejpam-3818	74	6	(	(	PUNCT
ejpam-3818	74	7	5	5	NUM
ejpam-3818	74	8	)	)	PUNCT
ejpam-3818	74	9	in	in	ADP
ejpam-3818	74	10	equation	equation	NOUN
ejpam-3818	74	11	(	(	PUNCT
ejpam-3818	74	12	9	9	NUM
ejpam-3818	74	13	)	)	PUNCT
ejpam-3818	74	14	to	to	PART
ejpam-3818	74	15	get	get	VERB
ejpam-3818	74	16	det(bi|c2	det(bi|c2	NOUN
ejpam-3818	74	17	)	)	PUNCT
ejpam-3818	74	18	=	=	SYM
ejpam-3818	74	19	det(bi|c)+det(b	det(bi|c)+det(b	NOUN
ejpam-3818	74	20	)	)	PUNCT
ejpam-3818	74	21	.	.	PUNCT
ejpam-3818	75	1	(	(	PUNCT
ejpam-3818	75	2	10	10	NUM
ejpam-3818	75	3	)	)	PUNCT
ejpam-3818	75	4	therefore	therefore	ADV
ejpam-3818	75	5	,	,	PUNCT
ejpam-3818	75	6	det(bi−c2	det(bi−c2	X
ejpam-3818	75	7	)	)	PUNCT
ejpam-3818	75	8	=	=	SYM
ejpam-3818	75	9	det(b)−	det(b)−	NOUN
ejpam-3818	75	10	(	(	PUNCT
ejpam-3818	75	11	det(bi|c)+det(b	det(bi|c)+det(b	NOUN
ejpam-3818	75	12	)	)	PUNCT
ejpam-3818	75	13	)	)	PUNCT
ejpam-3818	75	14	.	.	PUNCT
ejpam-3818	76	1	now	now	ADV
ejpam-3818	76	2	,	,	PUNCT
ejpam-3818	76	3	xi	xi	X
ejpam-3818	76	4	=	=	NOUN
ejpam-3818	76	5	−	−	NOUN
ejpam-3818	76	6	det(bi−c2	det(bi−c2	NOUN
ejpam-3818	76	7	)	)	PUNCT
ejpam-3818	76	8	det(b	det(b	PROPN
ejpam-3818	76	9	)	)	PUNCT
ejpam-3818	77	1	=	=	NOUN
ejpam-3818	77	2	−	−	PROPN
ejpam-3818	77	3	det(bi−(c+c1	det(bi−(c+c1	PROPN
ejpam-3818	77	4	)	)	PUNCT
ejpam-3818	77	5	)	)	PUNCT
ejpam-3818	77	6	det(b	det(b	PROPN
ejpam-3818	77	7	)	)	PUNCT
ejpam-3818	77	8	.	.	PUNCT
ejpam-3818	78	1	(	(	PUNCT
ejpam-3818	78	2	11	11	NUM
ejpam-3818	78	3	)	)	PUNCT
ejpam-3818	78	4	the	the	DET
ejpam-3818	78	5	flowchart	flowchart	NOUN
ejpam-3818	78	6	in	in	ADP
ejpam-3818	78	7	figure	figure	NOUN
ejpam-3818	78	8	1	1	NUM
ejpam-3818	78	9	,	,	PUNCT
ejpam-3818	78	10	the	the	DET
ejpam-3818	78	11	step	step	NOUN
ejpam-3818	78	12	by	by	ADP
ejpam-3818	78	13	step	step	NOUN
ejpam-3818	78	14	in	in	ADP
ejpam-3818	78	15	algorithm	algorithm	NOUN
ejpam-3818	78	16	1	1	NUM
ejpam-3818	78	17	,	,	PUNCT
ejpam-3818	78	18	and	and	CCONJ
ejpam-3818	78	19	the	the	DET
ejpam-3818	78	20	matlab	matlab	PROPN
ejpam-3818	78	21	code	code	NOUN
ejpam-3818	78	22	of	of	ADP
ejpam-3818	78	23	the	the	DET
ejpam-3818	78	24	algorithm	algorithm	NOUN
ejpam-3818	78	25	in	in	ADP
ejpam-3818	78	26	listing	list	VERB
ejpam-3818	78	27	1	1	NUM
ejpam-3818	78	28	show	show	VERB
ejpam-3818	78	29	the	the	DET
ejpam-3818	78	30	computational	computational	ADJ
ejpam-3818	78	31	steps	step	NOUN
ejpam-3818	78	32	of	of	ADP
ejpam-3818	78	33	corollary	corollary	ADJ
ejpam-3818	78	34	1	1	NUM
ejpam-3818	78	35	.	.	PUNCT
ejpam-3818	79	1	o.	o.	PROPN
ejpam-3818	79	2	babarinsa	babarinsa	PROPN
ejpam-3818	79	3	et	et	PROPN
ejpam-3818	79	4	al	al	PROPN
ejpam-3818	79	5	.	.	PUNCT
ejpam-3818	79	6	/	/	SYM
ejpam-3818	79	7	eur	eur	PROPN
ejpam-3818	79	8	.	.	PUNCT
ejpam-3818	80	1	j.	j.	PROPN
ejpam-3818	80	2	pure	pure	PROPN
ejpam-3818	80	3	appl	appl	PROPN
ejpam-3818	80	4	.	.	PROPN
ejpam-3818	80	5	math	math	PROPN
ejpam-3818	80	6	,	,	PUNCT
ejpam-3818	80	7	13	13	NUM
ejpam-3818	80	8	(	(	PUNCT
ejpam-3818	80	9	4	4	NUM
ejpam-3818	80	10	)	)	PUNCT
ejpam-3818	80	11	(	(	PUNCT
ejpam-3818	80	12	2020	2020	NUM
ejpam-3818	80	13	)	)	PUNCT
ejpam-3818	80	14	,	,	PUNCT
ejpam-3818	80	15	1035	1035	NUM
ejpam-3818	80	16	-	-	SYM
ejpam-3818	80	17	1054	1054	NUM
ejpam-3818	80	18	1039	1039	NUM
ejpam-3818	80	19	start	start	VERB
ejpam-3818	80	20	let	let	VERB
ejpam-3818	80	21	b	b	X
ejpam-3818	80	22	be	be	AUX
ejpam-3818	80	23	coefficient	coefficient	NOUN
ejpam-3818	80	24	matrix	matrix	NOUN
ejpam-3818	80	25	,	,	PUNCT
ejpam-3818	80	26	c	c	PROPN
ejpam-3818	80	27	the	the	DET
ejpam-3818	80	28	column	column	NOUN
ejpam-3818	80	29	vector	vector	NOUN
ejpam-3818	80	30	and	and	CCONJ
ejpam-3818	80	31	xi	xi	X
ejpam-3818	80	32	the	the	DET
ejpam-3818	80	33	set	set	NOUN
ejpam-3818	80	34	of	of	ADP
ejpam-3818	80	35	linear	linear	ADJ
ejpam-3818	80	36	solutions	solution	NOUN
ejpam-3818	80	37	is	be	AUX
ejpam-3818	80	38	b	b	PROPN
ejpam-3818	80	39	a	a	DET
ejpam-3818	80	40	square	square	ADJ
ejpam-3818	80	41	matrix?optimized	matrix?optimize	VERB
ejpam-3818	80	42	cramer	cramer	PROPN
ejpam-3818	80	43	’s	’s	PART
ejpam-3818	80	44	rule	rule	NOUN
ejpam-3818	80	45	can	can	AUX
ejpam-3818	80	46	not	not	PART
ejpam-3818	80	47	be	be	AUX
ejpam-3818	80	48	used	use	VERB
ejpam-3818	80	49	let	let	VERB
ejpam-3818	80	50	c1	c1	PROPN
ejpam-3818	80	51	=	=	PUNCT
ejpam-3818	80	52	row	row	NOUN
ejpam-3818	80	53	sum	sum	NOUN
ejpam-3818	80	54	of	of	ADP
ejpam-3818	80	55	b	b	PROPN
ejpam-3818	80	56	compute	compute	NOUN
ejpam-3818	80	57	c2	c2	PROPN
ejpam-3818	80	58	=	=	PUNCT
ejpam-3818	80	59	c+	c+	PROPN
ejpam-3818	80	60	c1	c1	NOUN
ejpam-3818	80	61	let	let	VERB
ejpam-3818	80	62	di	di	NOUN
ejpam-3818	80	63	be	be	AUX
ejpam-3818	80	64	the	the	DET
ejpam-3818	80	65	ith	ith	PROPN
ejpam-3818	80	66	column	column	NOUN
ejpam-3818	80	67	of	of	ADP
ejpam-3818	80	68	b	b	PROPN
ejpam-3818	80	69	,	,	PUNCT
ejpam-3818	80	70	for	for	ADP
ejpam-3818	80	71	i	i	PROPN
ejpam-3818	80	72	=	=	SYM
ejpam-3818	80	73	1,2	1,2	NUM
ejpam-3818	80	74	,	,	PUNCT
ejpam-3818	80	75	...	...	PUNCT
ejpam-3818	80	76	,	,	PUNCT
ejpam-3818	80	77	n	n	PRON
ejpam-3818	80	78	compute	compute	NOUN
ejpam-3818	80	79	ei	ei	NOUN
ejpam-3818	80	80	=	=	PUNCT
ejpam-3818	80	81	di−	di−	PROPN
ejpam-3818	80	82	c2	c2	PROPN
ejpam-3818	80	83	compute	compute	NOUN
ejpam-3818	80	84	xi	xi	PUNCT
ejpam-3818	81	1	=	=	NOUN
ejpam-3818	81	2	−	−	PROPN
ejpam-3818	81	3	det(ei	det(ei	NOUN
ejpam-3818	81	4	)	)	PUNCT
ejpam-3818	81	5	det(b	det(b	PROPN
ejpam-3818	81	6	)	)	PUNCT
ejpam-3818	81	7	display	display	NOUN
ejpam-3818	81	8	xi	xi	AUX
ejpam-3818	81	9	stop	stop	VERB
ejpam-3818	81	10	yes	yes	INTJ
ejpam-3818	82	1	no	no	DET
ejpam-3818	82	2	figure	figure	NOUN
ejpam-3818	82	3	1	1	NUM
ejpam-3818	82	4	:	:	PUNCT
ejpam-3818	82	5	flowchart	flowchart	NOUN
ejpam-3818	82	6	of	of	ADP
ejpam-3818	82	7	an	an	DET
ejpam-3818	82	8	optimized	optimize	VERB
ejpam-3818	82	9	cramer	cramer	NOUN
ejpam-3818	82	10	’s	’s	PART
ejpam-3818	82	11	rule	rule	NOUN
ejpam-3818	82	12	o.	o.	PROPN
ejpam-3818	82	13	babarinsa	babarinsa	PROPN
ejpam-3818	82	14	et	et	PROPN
ejpam-3818	82	15	al	al	PROPN
ejpam-3818	82	16	.	.	PUNCT
ejpam-3818	82	17	/	/	SYM
ejpam-3818	82	18	eur	eur	PROPN
ejpam-3818	82	19	.	.	PUNCT
ejpam-3818	83	1	j.	j.	PROPN
ejpam-3818	83	2	pure	pure	PROPN
ejpam-3818	83	3	appl	appl	PROPN
ejpam-3818	83	4	.	.	PROPN
ejpam-3818	83	5	math	math	PROPN
ejpam-3818	83	6	,	,	PUNCT
ejpam-3818	83	7	13	13	NUM
ejpam-3818	83	8	(	(	PUNCT
ejpam-3818	83	9	4	4	NUM
ejpam-3818	83	10	)	)	PUNCT
ejpam-3818	83	11	(	(	PUNCT
ejpam-3818	83	12	2020	2020	NUM
ejpam-3818	83	13	)	)	PUNCT
ejpam-3818	83	14	,	,	PUNCT
ejpam-3818	83	15	1035	1035	NUM
ejpam-3818	83	16	-	-	SYM
ejpam-3818	83	17	1054	1054	NUM
ejpam-3818	83	18	1040	1040	NUM
ejpam-3818	83	19	algorithm	algorithm	NOUN
ejpam-3818	83	20	1	1	NUM
ejpam-3818	83	21	an	an	DET
ejpam-3818	83	22	optimized	optimize	VERB
ejpam-3818	83	23	cramer	cramer	NOUN
ejpam-3818	83	24	’s	’s	PART
ejpam-3818	83	25	rule	rule	NOUN
ejpam-3818	83	26	1	1	NUM
ejpam-3818	83	27	:	:	PUNCT
ejpam-3818	83	28	procedure	procedure	NOUN
ejpam-3818	83	29	2	2	NUM
ejpam-3818	83	30	:	:	PUNCT
ejpam-3818	83	31	b←	b←	X
ejpam-3818	84	1	n×n	n×n	PROPN
ejpam-3818	84	2	coefficient	coefficient	NOUN
ejpam-3818	84	3	matrix	matrix	NOUN
ejpam-3818	84	4	3	3	NUM
ejpam-3818	84	5	:	:	PUNCT
ejpam-3818	84	6	c←	c←	X
ejpam-3818	84	7	column	column	NOUN
ejpam-3818	84	8	vector	vector	NOUN
ejpam-3818	84	9	4	4	NUM
ejpam-3818	84	10	:	:	PUNCT
ejpam-3818	84	11	xi←	xi←	NUM
ejpam-3818	84	12	solutions	solution	NOUN
ejpam-3818	84	13	of	of	ADP
ejpam-3818	84	14	linear	linear	ADJ
ejpam-3818	84	15	system	system	NOUN
ejpam-3818	84	16	5	5	NUM
ejpam-3818	84	17	:	:	PUNCT
ejpam-3818	84	18	for	for	ADP
ejpam-3818	84	19	i	i	PRON
ejpam-3818	84	20	do1n	do1n	VERB
ejpam-3818	84	21	6	6	NUM
ejpam-3818	84	22	:	:	PUNCT
ejpam-3818	84	23	c1←	c1←	NOUN
ejpam-3818	84	24	row	row	NOUN
ejpam-3818	84	25	sum	sum	NOUN
ejpam-3818	84	26	of	of	ADP
ejpam-3818	84	27	b	b	NOUN
ejpam-3818	84	28	7	7	NUM
ejpam-3818	84	29	:	:	PUNCT
ejpam-3818	84	30	c2←	c2←	NOUN
ejpam-3818	84	31	c+	c+	VERB
ejpam-3818	84	32	c1	c1	NOUN
ejpam-3818	84	33	8	8	NUM
ejpam-3818	84	34	:	:	PUNCT
ejpam-3818	84	35	di←	di←	VERB
ejpam-3818	84	36	ith	ith	NOUN
ejpam-3818	84	37	row	row	NOUN
ejpam-3818	84	38	of	of	ADP
ejpam-3818	84	39	b	b	NOUN
ejpam-3818	84	40	9	9	NUM
ejpam-3818	84	41	:	:	PUNCT
ejpam-3818	84	42	ei←	ei←	NUM
ejpam-3818	84	43	di−	di−	PUNCT
ejpam-3818	84	44	c2	c2	PROPN
ejpam-3818	84	45	10	10	NUM
ejpam-3818	84	46	:	:	PUNCT
ejpam-3818	84	47	det(e)←	det(e)←	ADJ
ejpam-3818	84	48	determinant	determinant	ADJ
ejpam-3818	84	49	of	of	ADP
ejpam-3818	84	50	ei	ei	NOUN
ejpam-3818	84	51	11	11	NUM
ejpam-3818	84	52	:	:	PUNCT
ejpam-3818	84	53	det(b)←	det(b)←	NOUN
ejpam-3818	84	54	determinant	determinant	ADJ
ejpam-3818	84	55	of	of	ADP
ejpam-3818	84	56	b	b	NOUN
ejpam-3818	84	57	12	12	NUM
ejpam-3818	84	58	:	:	PUNCT
ejpam-3818	84	59	xi←−(det(e)/det(b	xi←−(det(e)/det(b	NUM
ejpam-3818	84	60	)	)	PUNCT
ejpam-3818	84	61	)	)	PUNCT
ejpam-3818	84	62	13	13	NUM
ejpam-3818	84	63	:	:	PUNCT
ejpam-3818	84	64	end	end	VERB
ejpam-3818	84	65	for	for	ADP
ejpam-3818	84	66	14	14	NUM
ejpam-3818	84	67	:	:	PUNCT
ejpam-3818	84	68	end	end	NOUN
ejpam-3818	84	69	procedure	procedure	NOUN
ejpam-3818	84	70	listing	list	VERB
ejpam-3818	84	71	1	1	NUM
ejpam-3818	84	72	:	:	PUNCT
ejpam-3818	84	73	matlab	matlab	PROPN
ejpam-3818	84	74	code	code	PROPN
ejpam-3818	84	75	of	of	ADP
ejpam-3818	84	76	optimized	optimize	VERB
ejpam-3818	84	77	carmer	carmer	NOUN
ejpam-3818	84	78	’s	’s	PART
ejpam-3818	84	79	rule	rule	NOUN
ejpam-3818	84	80	.	.	PUNCT
ejpam-3818	85	1	1	1	NUM
ejpam-3818	85	2	f	f	X
ejpam-3818	85	3	u	u	NOUN
ejpam-3818	85	4	n	n	PROPN
ejpam-3818	85	5	c	c	NOUN
ejpam-3818	85	6	t	t	NOUN
ejpam-3818	86	1	i	i	PRON
ejpam-3818	86	2	o	o	VERB
ejpam-3818	86	3	n	n	CCONJ
ejpam-3818	86	4	x=	x=	X
ejpam-3818	86	5	opt	opt	PROPN
ejpam-3818	86	6	imized	imize	VERB
ejpam-3818	86	7	cramer	cramer	PROPN
ejpam-3818	86	8	'	'	PART
ejpam-3818	86	9	s	s	PART
ejpam-3818	86	10	r	r	NOUN
ejpam-3818	86	11	u	u	NOUN
ejpam-3818	86	12	l	l	NOUN
ejpam-3818	86	13	e	e	X
ejpam-3818	86	14	(	(	PUNCT
ejpam-3818	86	15	b	b	NOUN
ejpam-3818	86	16	,	,	PUNCT
ejpam-3818	86	17	c	c	NOUN
ejpam-3818	86	18	)	)	PUNCT
ejpam-3818	86	19	2	2	NUM
ejpam-3818	86	20	b=	b=	NOUN
ejpam-3818	87	1	i	i	PRON
ejpam-3818	87	2	n	n	NUM
ejpam-3818	87	3	p	p	PROPN
ejpam-3818	87	4	u	u	X
ejpam-3818	87	5	t	t	X
ejpam-3818	87	6	(	(	PUNCT
ejpam-3818	87	7	'	'	PUNCT
ejpam-3818	87	8	m	m	VERB
ejpam-3818	87	9	a	a	DET
ejpam-3818	87	10	t	t	NOUN
ejpam-3818	87	11	r	r	NOUN
ejpam-3818	87	12	i	i	NOUN
ejpam-3818	87	13	x	x	SYM
ejpam-3818	87	14	b	b	X
ejpam-3818	87	15	=	=	PRON
ejpam-3818	87	16	'	'	PUNCT
ejpam-3818	87	17	)	)	PUNCT
ejpam-3818	87	18	;	;	PUNCT
ejpam-3818	87	19	3	3	NUM
ejpam-3818	87	20	c=	c=	NOUN
ejpam-3818	87	21	i	i	PRON
ejpam-3818	87	22	n	n	NUM
ejpam-3818	87	23	p	p	NOUN
ejpam-3818	87	24	u	u	X
ejpam-3818	87	25	t	t	X
ejpam-3818	87	26	(	(	PUNCT
ejpam-3818	87	27	'	'	PUNCT
ejpam-3818	87	28	column	column	NOUN
ejpam-3818	87	29	v	v	ADP
ejpam-3818	87	30	e	e	PROPN
ejpam-3818	87	31	c	c	NOUN
ejpam-3818	87	32	t	t	NOUN
ejpam-3818	88	1	o	o	NOUN
ejpam-3818	88	2	r	r	NOUN
ejpam-3818	88	3	=	=	PUNCT
ejpam-3818	88	4	'	'	PUNCT
ejpam-3818	88	5	)	)	PUNCT
ejpam-3818	88	6	;	;	PUNCT
ejpam-3818	88	7	4	4	NUM
ejpam-3818	88	8	n=	n=	NOUN
ejpam-3818	88	9	s	s	VERB
ejpam-3818	88	10	i	i	NOUN
ejpam-3818	88	11	z	z	NOUN
ejpam-3818	88	12	e	e	X
ejpam-3818	88	13	(	(	PUNCT
ejpam-3818	88	14	b	b	NOUN
ejpam-3818	88	15	,	,	PUNCT
ejpam-3818	88	16	1	1	NUM
ejpam-3818	88	17	)	)	PUNCT
ejpam-3818	88	18	;	;	PUNCT
ejpam-3818	88	19	5	5	NUM
ejpam-3818	88	20	m=	m=	X
ejpam-3818	88	21	s	s	VERB
ejpam-3818	88	22	i	i	PRON
ejpam-3818	88	23	z	z	NOUN
ejpam-3818	88	24	e	e	X
ejpam-3818	88	25	(	(	PUNCT
ejpam-3818	88	26	b	b	NOUN
ejpam-3818	88	27	,	,	PUNCT
ejpam-3818	88	28	2	2	NUM
ejpam-3818	88	29	)	)	PUNCT
ejpam-3818	88	30	;	;	PUNCT
ejpam-3818	88	31	6	6	NUM
ejpam-3818	88	32	i	i	NOUN
ejpam-3818	88	33	f	f	VERB
ejpam-3818	88	34	n	n	PRON
ejpam-3818	88	35	˜=m	˜=m	VERB
ejpam-3818	88	36	7	7	NUM
ejpam-3818	88	37	e	e	NOUN
ejpam-3818	88	38	r	r	NOUN
ejpam-3818	88	39	r	r	NOUN
ejpam-3818	88	40	o	o	NOUN
ejpam-3818	88	41	r	r	NOUN
ejpam-3818	88	42	(	(	PUNCT
ejpam-3818	88	43	'	'	PUNCT
ejpam-3818	88	44	the	the	DET
ejpam-3818	88	45	m	m	NOUN
ejpam-3818	88	46	a	a	DET
ejpam-3818	88	47	t	t	NOUN
ejpam-3818	88	48	r	r	NOUN
ejpam-3818	88	49	i	i	NOUN
ejpam-3818	88	50	x	x	VERB
ejpam-3818	89	1	i	i	PRON
ejpam-3818	89	2	s	s	VERB
ejpam-3818	89	3	n	n	ADV
ejpam-3818	89	4	o	o	NOUN
ejpam-3818	89	5	t	t	X
ejpam-3818	89	6	s	s	X
ejpam-3818	89	7	q	q	X
ejpam-3818	89	8	u	u	NOUN
ejpam-3818	89	9	a	a	DET
ejpam-3818	89	10	r	r	NOUN
ejpam-3818	89	11	e	e	NOUN
ejpam-3818	89	12	.	.	PUNCT
ejpam-3818	89	13	'	'	PUNCT
ejpam-3818	89	14	)	)	PUNCT
ejpam-3818	89	15	;	;	PUNCT
ejpam-3818	90	1	8	8	NUM
ejpam-3818	90	2	x	x	X
ejpam-3818	90	3	=	=	PUNCT
ejpam-3818	91	1	[	[	PUNCT
ejpam-3818	91	2	]	]	X
ejpam-3818	91	3	;	;	PUNCT
ejpam-3818	91	4	9	9	NUM
ejpam-3818	91	5	e	e	NOUN
ejpam-3818	91	6	l	l	NOUN
ejpam-3818	91	7	s	s	X
ejpam-3818	91	8	e	e	X
ejpam-3818	91	9	10	10	NUM
ejpam-3818	91	10	detb=	detb=	X
ejpam-3818	91	11	d	d	PROPN
ejpam-3818	91	12	e	e	PROPN
ejpam-3818	91	13	t	t	PROPN
ejpam-3818	91	14	(	(	PUNCT
ejpam-3818	91	15	b	b	NOUN
ejpam-3818	91	16	)	)	PUNCT
ejpam-3818	91	17	;	;	PUNCT
ejpam-3818	92	1	11	11	NUM
ejpam-3818	92	2	i	i	NOUN
ejpam-3818	92	3	f	f	VERB
ejpam-3818	93	1	d	d	X
ejpam-3818	93	2	e	e	PROPN
ejpam-3818	93	3	t	t	PROPN
ejpam-3818	93	4	(	(	PUNCT
ejpam-3818	93	5	b	b	X
ejpam-3818	93	6	)	)	PUNCT
ejpam-3818	93	7	˜=0	˜=0	PROPN
ejpam-3818	93	8	12	12	NUM
ejpam-3818	93	9	x=	x=	NOUN
ejpam-3818	94	1	z	z	NOUN
ejpam-3818	94	2	e	e	NOUN
ejpam-3818	94	3	r	r	NOUN
ejpam-3818	94	4	o	o	X
ejpam-3818	94	5	s	s	X
ejpam-3818	94	6	(	(	PUNCT
ejpam-3818	94	7	n	n	NOUN
ejpam-3818	94	8	,	,	PUNCT
ejpam-3818	94	9	1	1	NUM
ejpam-3818	94	10	)	)	PUNCT
ejpam-3818	94	11	;	;	PUNCT
ejpam-3818	94	12	13	13	NUM
ejpam-3818	94	13	c1	c1	NOUN
ejpam-3818	94	14	=	=	NOUN
ejpam-3818	94	15	sum	sum	NOUN
ejpam-3818	94	16	(	(	PUNCT
ejpam-3818	94	17	b	b	NOUN
ejpam-3818	94	18	,	,	PUNCT
ejpam-3818	94	19	2	2	NUM
ejpam-3818	94	20	)	)	PUNCT
ejpam-3818	94	21	;	;	PUNCT
ejpam-3818	94	22	14	14	NUM
ejpam-3818	94	23	c2	c2	PROPN
ejpam-3818	94	24	=	=	SYM
ejpam-3818	94	25	c+c1	c+c1	PROPN
ejpam-3818	94	26	;	;	PUNCT
ejpam-3818	94	27	15	15	NUM
ejpam-3818	94	28	f	f	NOUN
ejpam-3818	94	29	o	o	NOUN
ejpam-3818	94	30	r	r	NOUN
ejpam-3818	94	31	j	j	NOUN
ejpam-3818	94	32	=	=	NOUN
ejpam-3818	94	33	1	1	NUM
ejpam-3818	94	34	:	:	PUNCT
ejpam-3818	94	35	n	n	PRON
ejpam-3818	94	36	16	16	NUM
ejpam-3818	95	1	i	i	PRON
ejpam-3818	95	2	f	f	PROPN
ejpam-3818	95	3	j	j	PROPN
ejpam-3818	95	4	˜=1	˜=1	PROPN
ejpam-3818	95	5	&	&	PROPN
ejpam-3818	95	6	&	&	CCONJ
ejpam-3818	95	7	j	j	PROPN
ejpam-3818	95	8	˜=	˜=	PROPN
ejpam-3818	95	9	n	n	CCONJ
ejpam-3818	95	10	17	17	NUM
ejpam-3818	95	11	e=[b	e=[b	NOUN
ejpam-3818	95	12	(	(	PUNCT
ejpam-3818	95	13	:	:	PUNCT
ejpam-3818	95	14	,	,	PUNCT
ejpam-3818	95	15	1	1	X
ejpam-3818	95	16	:	:	PUNCT
ejpam-3818	95	17	j	j	PROPN
ejpam-3818	95	18	−1	−1	NOUN
ejpam-3818	95	19	)	)	PUNCT
ejpam-3818	95	20	b	b	PROPN
ejpam-3818	95	21	(	(	PUNCT
ejpam-3818	95	22	:	:	PUNCT
ejpam-3818	95	23	,	,	PUNCT
ejpam-3818	95	24	j	j	PROPN
ejpam-3818	95	25	)	)	PUNCT
ejpam-3818	95	26	−c2	−c2	PROPN
ejpam-3818	95	27	b	b	PROPN
ejpam-3818	95	28	(	(	PUNCT
ejpam-3818	95	29	:	:	PUNCT
ejpam-3818	95	30	,	,	PUNCT
ejpam-3818	95	31	j	j	PROPN
ejpam-3818	95	32	+1	+1	X
ejpam-3818	95	33	:	:	PUNCT
ejpam-3818	95	34	n	n	X
ejpam-3818	95	35	)	)	PUNCT
ejpam-3818	95	36	]	]	PUNCT
ejpam-3818	95	37	;	;	PUNCT
ejpam-3818	95	38	18	18	NUM
ejpam-3818	95	39	e	e	NOUN
ejpam-3818	95	40	l	l	NOUN
ejpam-3818	95	41	s	s	X
ejpam-3818	95	42	e	e	X
ejpam-3818	95	43	i	i	PRON
ejpam-3818	95	44	f	f	PROPN
ejpam-3818	95	45	j	j	PROPN
ejpam-3818	96	1	=	=	NOUN
ejpam-3818	96	2	=	=	PROPN
ejpam-3818	96	3	1	1	NUM
ejpam-3818	96	4	19	19	NUM
ejpam-3818	96	5	e=[b	e=[b	NOUN
ejpam-3818	96	6	(	(	PUNCT
ejpam-3818	96	7	:	:	PUNCT
ejpam-3818	96	8	,	,	PUNCT
ejpam-3818	96	9	1	1	X
ejpam-3818	96	10	)	)	PUNCT
ejpam-3818	96	11	−c2	−c2	PROPN
ejpam-3818	96	12	b	b	PROPN
ejpam-3818	96	13	(	(	PUNCT
ejpam-3818	96	14	:	:	PUNCT
ejpam-3818	96	15	,	,	PUNCT
ejpam-3818	96	16	2	2	NUM
ejpam-3818	96	17	:	:	SYM
ejpam-3818	96	18	n	n	NUM
ejpam-3818	96	19	)	)	PUNCT
ejpam-3818	96	20	]	]	PUNCT
ejpam-3818	96	21	;	;	PUNCT
ejpam-3818	96	22	20	20	NUM
ejpam-3818	96	23	e	e	NOUN
ejpam-3818	96	24	l	l	NOUN
ejpam-3818	96	25	s	s	X
ejpam-3818	96	26	e	e	X
ejpam-3818	96	27	i	i	PRON
ejpam-3818	96	28	f	f	PROPN
ejpam-3818	96	29	j	j	PROPN
ejpam-3818	96	30	=	=	NOUN
ejpam-3818	96	31	=	=	PROPN
ejpam-3818	96	32	n	n	PRON
ejpam-3818	96	33	21	21	NUM
ejpam-3818	96	34	e=[b	e=[b	NOUN
ejpam-3818	96	35	(	(	PUNCT
ejpam-3818	96	36	:	:	PUNCT
ejpam-3818	96	37	,	,	PUNCT
ejpam-3818	96	38	1	1	NUM
ejpam-3818	96	39	:	:	PUNCT
ejpam-3818	96	40	n−1	n−1	NUM
ejpam-3818	96	41	)	)	PUNCT
ejpam-3818	96	42	b	b	PROPN
ejpam-3818	96	43	(	(	PUNCT
ejpam-3818	96	44	:	:	PUNCT
ejpam-3818	96	45	,	,	PUNCT
ejpam-3818	96	46	n	n	X
ejpam-3818	96	47	)	)	PUNCT
ejpam-3818	96	48	−c2	−c2	PROPN
ejpam-3818	96	49	]	]	PUNCT
ejpam-3818	96	50	;	;	PUNCT
ejpam-3818	96	51	22	22	NUM
ejpam-3818	96	52	end	end	NOUN
ejpam-3818	96	53	23	23	NUM
ejpam-3818	96	54	de	de	NOUN
ejpam-3818	96	55	te	te	X
ejpam-3818	96	56	=	=	SYM
ejpam-3818	96	57	d	d	PROPN
ejpam-3818	96	58	e	e	X
ejpam-3818	96	59	t	t	PROPN
ejpam-3818	96	60	(	(	PUNCT
ejpam-3818	96	61	e	e	PROPN
ejpam-3818	96	62	)	)	PUNCT
ejpam-3818	96	63	;	;	PUNCT
ejpam-3818	96	64	24	24	NUM
ejpam-3818	96	65	x	x	SYM
ejpam-3818	96	66	(	(	PUNCT
ejpam-3818	96	67	j	j	NOUN
ejpam-3818	96	68	)	)	PUNCT
ejpam-3818	97	1	=	=	SYM
ejpam-3818	97	2	−	−	PROPN
ejpam-3818	97	3	(	(	PUNCT
ejpam-3818	97	4	d	d	X
ejpam-3818	97	5	e	e	PROPN
ejpam-3818	97	6	t	t	PROPN
ejpam-3818	97	7	(	(	PUNCT
ejpam-3818	97	8	e	e	NOUN
ejpam-3818	97	9	)	)	PUNCT
ejpam-3818	97	10	/	/	SYM
ejpam-3818	97	11	detb	detb	NOUN
ejpam-3818	97	12	)	)	PUNCT
ejpam-3818	97	13	;	;	PUNCT
ejpam-3818	97	14	25	25	NUM
ejpam-3818	97	15	end	end	NOUN
ejpam-3818	97	16	26	26	NUM
ejpam-3818	97	17	e	e	NOUN
ejpam-3818	97	18	l	l	NOUN
ejpam-3818	97	19	s	s	X
ejpam-3818	97	20	e	e	NOUN
ejpam-3818	97	21	27	27	NUM
ejpam-3818	97	22	e	e	NOUN
ejpam-3818	97	23	r	r	NOUN
ejpam-3818	97	24	r	r	NOUN
ejpam-3818	97	25	o	o	NOUN
ejpam-3818	97	26	r	r	NOUN
ejpam-3818	97	27	(	(	PUNCT
ejpam-3818	97	28	'	'	PUNCT
ejpam-3818	97	29	m	m	VERB
ejpam-3818	97	30	a	a	DET
ejpam-3818	97	31	t	t	NOUN
ejpam-3818	97	32	r	r	NOUN
ejpam-3818	97	33	i	i	NOUN
ejpam-3818	97	34	x	x	PROPN
ejpam-3818	97	35	b	b	VERB
ejpam-3818	98	1	i	i	PRON
ejpam-3818	98	2	s	s	VERB
ejpam-3818	98	3	s	s	X
ejpam-3818	98	4	i	i	NOUN
ejpam-3818	98	5	n	n	CCONJ
ejpam-3818	98	6	g	g	NOUN
ejpam-3818	98	7	u	u	X
ejpam-3818	98	8	l	l	NOUN
ejpam-3818	98	9	a	a	DET
ejpam-3818	98	10	r	r	NOUN
ejpam-3818	98	11	.	.	PUNCT
ejpam-3818	98	12	'	'	PUNCT
ejpam-3818	98	13	)	)	PUNCT
ejpam-3818	99	1	;	;	PUNCT
ejpam-3818	99	2	28	28	NUM
ejpam-3818	99	3	x	x	X
ejpam-3818	99	4	=	=	PUNCT
ejpam-3818	99	5	[	[	PUNCT
ejpam-3818	99	6	]	]	X
ejpam-3818	99	7	;	;	PUNCT
ejpam-3818	99	8	29	29	NUM
ejpam-3818	99	9	end	end	NOUN
ejpam-3818	99	10	30	30	NUM
ejpam-3818	99	11	end	end	NOUN
ejpam-3818	99	12	proposition	proposition	NOUN
ejpam-3818	99	13	1	1	NUM
ejpam-3818	99	14	.	.	PUNCT
ejpam-3818	100	1	let	let	VERB
ejpam-3818	100	2	bx	bx	VERB
ejpam-3818	100	3	=	=	PUNCT
ejpam-3818	100	4	c	c	AUX
ejpam-3818	100	5	be	be	AUX
ejpam-3818	100	6	an	an	DET
ejpam-3818	100	7	n×n	n×n	PROPN
ejpam-3818	100	8	system	system	NOUN
ejpam-3818	100	9	of	of	ADP
ejpam-3818	100	10	linear	linear	ADJ
ejpam-3818	100	11	equation	equation	NOUN
ejpam-3818	100	12	where	where	SCONJ
ejpam-3818	100	13	b	b	NOUN
ejpam-3818	100	14	is	be	AUX
ejpam-3818	100	15	an	an	DET
ejpam-3818	100	16	n×n	n×n	PROPN
ejpam-3818	100	17	non	non	ADJ
ejpam-3818	100	18	-	-	ADJ
ejpam-3818	100	19	singular	singular	ADJ
ejpam-3818	100	20	matrix	matrix	NOUN
ejpam-3818	100	21	of	of	ADP
ejpam-3818	100	22	x	x	PUNCT
ejpam-3818	100	23	for	for	ADP
ejpam-3818	100	24	the	the	DET
ejpam-3818	100	25	distinct	distinct	ADJ
ejpam-3818	100	26	solution	solution	NOUN
ejpam-3818	100	27	of	of	ADP
ejpam-3818	100	28	x	x	X
ejpam-3818	100	29	=	=	PUNCT
ejpam-3818	101	1	[	[	X
ejpam-3818	101	2	x1,x2	x1,x2	PROPN
ejpam-3818	101	3	,	,	PUNCT
ejpam-3818	101	4	...	...	PUNCT
ejpam-3818	101	5	,	,	PUNCT
ejpam-3818	101	6	xn	xn	PROPN
ejpam-3818	101	7	]	]	X
ejpam-3818	101	8	t	t	NOUN
ejpam-3818	101	9	and	and	CCONJ
ejpam-3818	101	10	c	c	X
ejpam-3818	101	11	the	the	DET
ejpam-3818	101	12	column	column	NOUN
ejpam-3818	101	13	vector	vector	NOUN
ejpam-3818	101	14	.	.	PUNCT
ejpam-3818	102	1	if	if	SCONJ
ejpam-3818	102	2	xi	xi	PROPN
ejpam-3818	102	3	=	=	SYM
ejpam-3818	102	4	det(bi|c	det(bi|c	PROPN
ejpam-3818	102	5	)	)	PUNCT
ejpam-3818	102	6	det(b	det(b	PROPN
ejpam-3818	102	7	)	)	PUNCT
ejpam-3818	102	8	o.	o.	NOUN
ejpam-3818	102	9	babarinsa	babarinsa	VERB
ejpam-3818	102	10	et	et	PROPN
ejpam-3818	102	11	al	al	PROPN
ejpam-3818	102	12	.	.	PUNCT
ejpam-3818	102	13	/	/	SYM
ejpam-3818	102	14	eur	eur	PROPN
ejpam-3818	102	15	.	.	PUNCT
ejpam-3818	103	1	j.	j.	PROPN
ejpam-3818	103	2	pure	pure	PROPN
ejpam-3818	103	3	appl	appl	PROPN
ejpam-3818	103	4	.	.	PROPN
ejpam-3818	103	5	math	math	PROPN
ejpam-3818	103	6	,	,	PUNCT
ejpam-3818	103	7	13	13	NUM
ejpam-3818	103	8	(	(	PUNCT
ejpam-3818	103	9	4	4	NUM
ejpam-3818	103	10	)	)	PUNCT
ejpam-3818	103	11	(	(	PUNCT
ejpam-3818	103	12	2020	2020	NUM
ejpam-3818	103	13	)	)	PUNCT
ejpam-3818	103	14	,	,	PUNCT
ejpam-3818	103	15	1035	1035	NUM
ejpam-3818	103	16	-	-	SYM
ejpam-3818	103	17	1054	1054	NUM
ejpam-3818	103	18	1041	1041	NUM
ejpam-3818	103	19	and	and	CCONJ
ejpam-3818	103	20	xi	xi	X
ejpam-3818	103	21	=	=	NOUN
ejpam-3818	103	22	−	−	PROPN
ejpam-3818	103	23	det(bi−(c+c1	det(bi−(c+c1	PROPN
ejpam-3818	103	24	)	)	PUNCT
ejpam-3818	103	25	)	)	PUNCT
ejpam-3818	103	26	det(b	det(b	PROPN
ejpam-3818	103	27	)	)	PUNCT
ejpam-3818	103	28	,	,	PUNCT
ejpam-3818	103	29	then	then	ADV
ejpam-3818	103	30	−	−	PROPN
ejpam-3818	103	31	det(bi−(c+c1	det(bi−(c+c1	PROPN
ejpam-3818	103	32	)	)	PUNCT
ejpam-3818	103	33	)	)	PUNCT
ejpam-3818	104	1	det(b	det(b	PROPN
ejpam-3818	104	2	)	)	PUNCT
ejpam-3818	104	3	=	=	SYM
ejpam-3818	104	4	det(bi|c	det(bi|c	PROPN
ejpam-3818	104	5	)	)	PUNCT
ejpam-3818	104	6	det(b	det(b	PROPN
ejpam-3818	104	7	)	)	PUNCT
ejpam-3818	104	8	,	,	PUNCT
ejpam-3818	104	9	where	where	SCONJ
ejpam-3818	104	10	bi|c	bi|c	PROPN
ejpam-3818	104	11	is	be	AUX
ejpam-3818	104	12	the	the	DET
ejpam-3818	104	13	matrix	matrix	NOUN
ejpam-3818	104	14	obtained	obtain	VERB
ejpam-3818	104	15	from	from	ADP
ejpam-3818	104	16	matrix	matrix	NOUN
ejpam-3818	104	17	b	b	NOUN
ejpam-3818	104	18	by	by	ADP
ejpam-3818	104	19	substituting	substitute	VERB
ejpam-3818	104	20	the	the	DET
ejpam-3818	104	21	column	column	NOUN
ejpam-3818	104	22	vector	vector	NOUN
ejpam-3818	104	23	c	c	PROPN
ejpam-3818	104	24	to	to	ADP
ejpam-3818	104	25	the	the	DET
ejpam-3818	104	26	ith	ith	PROPN
ejpam-3818	104	27	column	column	NOUN
ejpam-3818	104	28	of	of	ADP
ejpam-3818	104	29	b	b	PROPN
ejpam-3818	104	30	and	and	CCONJ
ejpam-3818	104	31	bi−(c+c1	bi−(c+c1	VERB
ejpam-3818	104	32	)	)	PUNCT
ejpam-3818	104	33	is	be	AUX
ejpam-3818	104	34	the	the	DET
ejpam-3818	104	35	matrix	matrix	NOUN
ejpam-3818	104	36	obtained	obtain	VERB
ejpam-3818	104	37	by	by	ADP
ejpam-3818	104	38	subtracting	subtract	VERB
ejpam-3818	104	39	the	the	DET
ejpam-3818	104	40	sum	sum	NOUN
ejpam-3818	104	41	of	of	ADP
ejpam-3818	104	42	column	column	NOUN
ejpam-3818	104	43	vector	vector	NOUN
ejpam-3818	104	44	c	c	PROPN
ejpam-3818	104	45	and	and	CCONJ
ejpam-3818	104	46	c1	c1	PROPN
ejpam-3818	104	47	the	the	DET
ejpam-3818	104	48	row	row	NOUN
ejpam-3818	104	49	sum	sum	NOUN
ejpam-3818	104	50	of	of	ADP
ejpam-3818	104	51	coefficient	coefficient	NOUN
ejpam-3818	104	52	matrix	matrix	NOUN
ejpam-3818	104	53	from	from	ADP
ejpam-3818	104	54	the	the	DET
ejpam-3818	104	55	ith	ith	PROPN
ejpam-3818	104	56	column	column	NOUN
ejpam-3818	104	57	of	of	ADP
ejpam-3818	104	58	b	b	PROPN
ejpam-3818	104	59	,	,	PUNCT
ejpam-3818	104	60	for	for	ADP
ejpam-3818	104	61	i	i	PROPN
ejpam-3818	104	62	=	=	SYM
ejpam-3818	104	63	1,2	1,2	NUM
ejpam-3818	104	64	,	,	PUNCT
ejpam-3818	104	65	...	...	PUNCT
ejpam-3818	104	66	,	,	PUNCT
ejpam-3818	104	67	n.	n.	NOUN
ejpam-3818	104	68	proof	proof	NOUN
ejpam-3818	104	69	.	.	PUNCT
ejpam-3818	105	1	we	we	PRON
ejpam-3818	105	2	begin	begin	VERB
ejpam-3818	105	3	by	by	ADP
ejpam-3818	105	4	substituting	substitute	VERB
ejpam-3818	105	5	equation	equation	NOUN
ejpam-3818	105	6	(	(	PUNCT
ejpam-3818	105	7	8)	8)	NUM
ejpam-3818	105	8	to	to	ADP
ejpam-3818	105	9	the	the	DET
ejpam-3818	105	10	numerator	numerator	NOUN
ejpam-3818	105	11	of	of	ADP
ejpam-3818	105	12	equation	equation	NOUN
ejpam-3818	105	13	(	(	PUNCT
ejpam-3818	105	14	11	11	NUM
ejpam-3818	105	15	)	)	PUNCT
ejpam-3818	105	16	to	to	PART
ejpam-3818	105	17	obtain	obtain	VERB
ejpam-3818	105	18	xi	xi	NOUN
ejpam-3818	105	19	=	=	NOUN
ejpam-3818	105	20	−	−	X
ejpam-3818	105	21	[	[	PUNCT
ejpam-3818	105	22	det(b)−det(bi|c2	det(b)−det(bi|c2	NOUN
ejpam-3818	105	23	)	)	PUNCT
ejpam-3818	105	24	]	]	PUNCT
ejpam-3818	105	25	det(b	det(b	PROPN
ejpam-3818	105	26	)	)	PUNCT
ejpam-3818	106	1	=	=	NOUN
ejpam-3818	106	2	−	−	X
ejpam-3818	106	3	[	[	PUNCT
ejpam-3818	106	4	det(b)−det(bi|c1+c	det(b)−det(bi|c1+c	PROPN
ejpam-3818	106	5	)	)	PUNCT
ejpam-3818	106	6	]	]	PUNCT
ejpam-3818	106	7	det(b	det(b	X
ejpam-3818	106	8	)	)	PUNCT
ejpam-3818	106	9	=	=	NOUN
ejpam-3818	106	10	−	−	X
ejpam-3818	106	11	[	[	PUNCT
ejpam-3818	106	12	det(b)−	det(b)−	NOUN
ejpam-3818	106	13	(	(	PUNCT
ejpam-3818	106	14	det(bi|c1)+det(bi|c	det(bi|c1)+det(bi|c	PROPN
ejpam-3818	106	15	)	)	PUNCT
ejpam-3818	106	16	)	)	PUNCT
ejpam-3818	106	17	]	]	PUNCT
ejpam-3818	106	18	det(b	det(b	PROPN
ejpam-3818	106	19	)	)	PUNCT
ejpam-3818	106	20	recall	recall	NOUN
ejpam-3818	106	21	that	that	DET
ejpam-3818	106	22	det(bi|c1	det(bi|c1	NOUN
ejpam-3818	106	23	)	)	PUNCT
ejpam-3818	106	24	=	=	SYM
ejpam-3818	106	25	det(b	det(b	PROPN
ejpam-3818	106	26	)	)	PUNCT
ejpam-3818	106	27	.	.	PUNCT
ejpam-3818	107	1	thus	thus	ADV
ejpam-3818	107	2	,	,	PUNCT
ejpam-3818	107	3	xi	xi	PROPN
ejpam-3818	107	4	=	=	SYM
ejpam-3818	107	5	det(bi|c	det(bi|c	PROPN
ejpam-3818	107	6	)	)	PUNCT
ejpam-3818	107	7	det(b	det(b	PROPN
ejpam-3818	107	8	)	)	PUNCT
ejpam-3818	107	9	.	.	PUNCT
ejpam-3818	108	1	corollary	corollary	ADJ
ejpam-3818	108	2	1	1	NUM
ejpam-3818	108	3	as	as	ADV
ejpam-3818	108	4	well	well	ADV
ejpam-3818	108	5	as	as	ADP
ejpam-3818	108	6	theorem	theorem	VERB
ejpam-3818	108	7	1	1	NUM
ejpam-3818	108	8	indicates	indicate	VERB
ejpam-3818	108	9	if	if	SCONJ
ejpam-3818	108	10	a	a	DET
ejpam-3818	108	11	system	system	NOUN
ejpam-3818	108	12	is	be	AUX
ejpam-3818	108	13	inconsistent	inconsistent	ADJ
ejpam-3818	108	14	or	or	CCONJ
ejpam-3818	108	15	indeterminate	indeterminate	VERB
ejpam-3818	108	16	without	without	ADP
ejpam-3818	108	17	completely	completely	ADV
ejpam-3818	108	18	solving	solve	VERB
ejpam-3818	108	19	the	the	DET
ejpam-3818	108	20	systems	system	NOUN
ejpam-3818	108	21	,	,	PUNCT
ejpam-3818	108	22	unlike	unlike	ADP
ejpam-3818	108	23	other	other	ADJ
ejpam-3818	108	24	direct	direct	ADJ
ejpam-3818	108	25	solvers	solver	NOUN
ejpam-3818	108	26	.	.	PUNCT
ejpam-3818	109	1	notwithstanding	notwithstanding	ADV
ejpam-3818	109	2	,	,	PUNCT
ejpam-3818	109	3	the	the	DET
ejpam-3818	109	4	optimized	optimize	VERB
ejpam-3818	109	5	cramer	cramer	NOUN
ejpam-3818	109	6	’s	’s	PART
ejpam-3818	109	7	rule	rule	NOUN
ejpam-3818	109	8	use	use	NOUN
ejpam-3818	109	9	a	a	DET
ejpam-3818	109	10	few	few	ADJ
ejpam-3818	109	11	more	more	ADJ
ejpam-3818	109	12	arithmetic	arithmetic	ADJ
ejpam-3818	109	13	operations	operation	NOUN
ejpam-3818	109	14	than	than	ADP
ejpam-3818	109	15	classical	classical	ADJ
ejpam-3818	109	16	cramer	cramer	NOUN
ejpam-3818	109	17	’s	’s	PART
ejpam-3818	109	18	rule	rule	NOUN
ejpam-3818	109	19	for	for	ADP
ejpam-3818	109	20	higher	high	ADJ
ejpam-3818	109	21	linear	linear	PROPN
ejpam-3818	109	22	systems	system	NOUN
ejpam-3818	109	23	.	.	PUNCT
ejpam-3818	110	1	however	however	ADV
ejpam-3818	110	2	,	,	PUNCT
ejpam-3818	110	3	based	base	VERB
ejpam-3818	110	4	on	on	ADP
ejpam-3818	110	5	our	our	PRON
ejpam-3818	110	6	background	background	NOUN
ejpam-3818	110	7	analysis	analysis	NOUN
ejpam-3818	110	8	,	,	PUNCT
ejpam-3818	110	9	the	the	DET
ejpam-3818	110	10	optimized	optimize	VERB
ejpam-3818	110	11	cramer	cramer	NOUN
ejpam-3818	110	12	’s	’s	PART
ejpam-3818	110	13	rule	rule	NOUN
ejpam-3818	110	14	,	,	PUNCT
ejpam-3818	110	15	especially	especially	ADV
ejpam-3818	110	16	for	for	ADP
ejpam-3818	110	17	examples	example	NOUN
ejpam-3818	110	18	of	of	ADP
ejpam-3818	110	19	2×	2×	NUM
ejpam-3818	110	20	2	2	NUM
ejpam-3818	110	21	well	well	ADV
ejpam-3818	110	22	and	and	CCONJ
ejpam-3818	110	23	ill	ill	ADV
ejpam-3818	110	24	-	-	PUNCT
ejpam-3818	110	25	conditioned	condition	VERB
ejpam-3818	110	26	linear	linear	NOUN
ejpam-3818	110	27	systems	system	NOUN
ejpam-3818	110	28	lower	low	ADJ
ejpam-3818	110	29	than	than	ADP
ejpam-3818	110	30	the	the	DET
ejpam-3818	110	31	relative	relative	ADJ
ejpam-3818	110	32	residual	residual	ADJ
ejpam-3818	110	33	measurements	measurement	NOUN
ejpam-3818	110	34	of	of	ADP
ejpam-3818	110	35	cramer	cramer	PROPN
ejpam-3818	110	36	’s	’s	PART
ejpam-3818	110	37	rule	rule	NOUN
ejpam-3818	110	38	.	.	PUNCT
ejpam-3818	111	1	this	this	DET
ejpam-3818	111	2	distinct	distinct	ADJ
ejpam-3818	111	3	advantage	advantage	NOUN
ejpam-3818	111	4	makes	make	VERB
ejpam-3818	111	5	optimized	optimize	VERB
ejpam-3818	111	6	cramer	cramer	NOUN
ejpam-3818	111	7	’s	’s	PART
ejpam-3818	111	8	rule	rule	NOUN
ejpam-3818	111	9	suitable	suitable	ADJ
ejpam-3818	111	10	for	for	ADP
ejpam-3818	111	11	solving	solve	VERB
ejpam-3818	111	12	the	the	DET
ejpam-3818	111	13	2×2	2×2	NUM
ejpam-3818	111	14	linear	linear	NOUN
ejpam-3818	111	15	systems	system	NOUN
ejpam-3818	111	16	of	of	ADP
ejpam-3818	111	17	wz	wz	PROPN
ejpam-3818	111	18	factorization	factorization	NOUN
ejpam-3818	111	19	.	.	PUNCT
ejpam-3818	112	1	3	3	X
ejpam-3818	112	2	.	.	X
ejpam-3818	112	3	application	application	NOUN
ejpam-3818	112	4	of	of	ADP
ejpam-3818	112	5	optimized	optimize	VERB
ejpam-3818	112	6	cramer	cramer	NOUN
ejpam-3818	112	7	’s	’s	PART
ejpam-3818	112	8	rule	rule	NOUN
ejpam-3818	112	9	in	in	ADP
ejpam-3818	112	10	wz	wz	ADP
ejpam-3818	112	11	factorization	factorization	NOUN
ejpam-3818	112	12	for	for	ADP
ejpam-3818	112	13	the	the	DET
ejpam-3818	112	14	wz	wz	PROPN
ejpam-3818	112	15	factorization	factorization	NOUN
ejpam-3818	112	16	algorithm	algorithm	NOUN
ejpam-3818	112	17	,	,	PUNCT
ejpam-3818	112	18	we	we	PRON
ejpam-3818	112	19	obtain	obtain	VERB
ejpam-3818	112	20	the	the	DET
ejpam-3818	112	21	the	the	DET
ejpam-3818	112	22	ith	ith	NOUN
ejpam-3818	112	23	to	to	ADP
ejpam-3818	112	24	the	the	DET
ejpam-3818	112	25	(	(	PUNCT
ejpam-3818	112	26	n−	n−	NOUN
ejpam-3818	112	27	1)th	1)th	NUM
ejpam-3818	112	28	element	element	NOUN
ejpam-3818	112	29	of	of	ADP
ejpam-3818	112	30	the	the	DET
ejpam-3818	112	31	(	(	PUNCT
ejpam-3818	112	32	i−1)th	i−1)th	NOUN
ejpam-3818	112	33	and	and	CCONJ
ejpam-3818	112	34	(	(	PUNCT
ejpam-3818	112	35	n−	n−	NOUN
ejpam-3818	112	36	i+1)th	i+1)th	PROPN
ejpam-3818	112	37	column	column	NOUN
ejpam-3818	112	38	of	of	ADP
ejpam-3818	112	39	w	w	PROPN
ejpam-3818	112	40	-matrix	-matrix	NOUN
ejpam-3818	112	41	by	by	ADP
ejpam-3818	112	42	computing	compute	VERB
ejpam-3818	112	43	w(k	w(k	PROPN
ejpam-3818	112	44	)	)	PUNCT
ejpam-3818	113	1	i	i	PRON
ejpam-3818	113	2	,	,	PUNCT
ejpam-3818	113	3	k	k	PROPN
ejpam-3818	113	4	and	and	CCONJ
ejpam-3818	113	5	w(k	w(k	PROPN
ejpam-3818	113	6	)	)	PUNCT
ejpam-3818	113	7	i	i	PROPN
ejpam-3818	113	8	,	,	PUNCT
ejpam-3818	113	9	n−k+1	n−k+1	VERB
ejpam-3818	113	10	from	from	ADP
ejpam-3818	113	11	{	{	PUNCT
ejpam-3818	113	12	z(k−1	z(k−1	PROPN
ejpam-3818	113	13	)	)	PUNCT
ejpam-3818	113	14	k	k	NOUN
ejpam-3818	113	15	,	,	PUNCT
ejpam-3818	113	16	k	k	PROPN
ejpam-3818	113	17	w(k	w(k	PROPN
ejpam-3818	113	18	)	)	PUNCT
ejpam-3818	114	1	i	i	PRON
ejpam-3818	114	2	,	,	PUNCT
ejpam-3818	114	3	k	k	PROPN
ejpam-3818	114	4	+	+	NUM
ejpam-3818	114	5	z(k−1	z(k−1	NUM
ejpam-3818	114	6	)	)	PUNCT
ejpam-3818	114	7	n−k+1,kw(k	n−k+1,kw(k	PROPN
ejpam-3818	114	8	)	)	PUNCT
ejpam-3818	114	9	i	i	PROPN
ejpam-3818	114	10	,	,	PUNCT
ejpam-3818	114	11	n−k+1	n−k+1	VERB
ejpam-3818	114	12	=	=	NOUN
ejpam-3818	114	13	−z(k−1	−z(k−1	NUM
ejpam-3818	114	14	)	)	PUNCT
ejpam-3818	115	1	i	i	PRON
ejpam-3818	115	2	,	,	PUNCT
ejpam-3818	115	3	k	k	PROPN
ejpam-3818	115	4	z(k−1	z(k−1	PROPN
ejpam-3818	115	5	)	)	PUNCT
ejpam-3818	115	6	k	k	PROPN
ejpam-3818	115	7	,	,	PUNCT
ejpam-3818	115	8	n−k+1w(k	n−k+1w(k	PROPN
ejpam-3818	115	9	)	)	PUNCT
ejpam-3818	115	10	i	i	PROPN
ejpam-3818	115	11	,	,	PUNCT
ejpam-3818	115	12	k	k	PROPN
ejpam-3818	115	13	+	+	NUM
ejpam-3818	115	14	z(k−1	z(k−1	NUM
ejpam-3818	115	15	)	)	PUNCT
ejpam-3818	115	16	n−k+1,n−k+1w(k	n−k+1,n−k+1w(k	PROPN
ejpam-3818	115	17	)	)	PUNCT
ejpam-3818	115	18	i	i	PRON
ejpam-3818	115	19	,	,	PUNCT
ejpam-3818	115	20	n−k+1	n−k+1	VERB
ejpam-3818	115	21	=	=	NOUN
ejpam-3818	115	22	−z(k−1	−z(k−1	NUM
ejpam-3818	115	23	)	)	PUNCT
ejpam-3818	116	1	i	i	PRON
ejpam-3818	116	2	,	,	PUNCT
ejpam-3818	116	3	n−k+1	n−k+1	NOUN
ejpam-3818	116	4	(	(	PUNCT
ejpam-3818	116	5	12	12	NUM
ejpam-3818	116	6	)	)	PUNCT
ejpam-3818	116	7	which	which	PRON
ejpam-3818	116	8	update	update	VERB
ejpam-3818	116	9	the	the	DET
ejpam-3818	116	10	elements	element	NOUN
ejpam-3818	116	11	of	of	ADP
ejpam-3818	116	12	z	z	NOUN
ejpam-3818	116	13	-	-	NOUN
ejpam-3818	116	14	matrix	matrix	NOUN
ejpam-3818	116	15	from	from	ADP
ejpam-3818	116	16	z(k)i	z(k)i	PROPN
ejpam-3818	116	17	,	,	PUNCT
ejpam-3818	116	18	j	j	PROPN
ejpam-3818	116	19	=	=	SYM
ejpam-3818	116	20	z(k−1	z(k−1	PROPN
ejpam-3818	116	21	)	)	PUNCT
ejpam-3818	117	1	i	i	PRON
ejpam-3818	117	2	,	,	PUNCT
ejpam-3818	117	3	j	j	PROPN
ejpam-3818	117	4	+	+	PROPN
ejpam-3818	117	5	w(k	w(k	PROPN
ejpam-3818	117	6	)	)	PUNCT
ejpam-3818	118	1	i	i	PRON
ejpam-3818	118	2	,	,	PUNCT
ejpam-3818	118	3	k	k	PROPN
ejpam-3818	118	4	z(k−1	z(k−1	PROPN
ejpam-3818	118	5	)	)	PUNCT
ejpam-3818	118	6	k	k	NOUN
ejpam-3818	118	7	,	,	PUNCT
ejpam-3818	118	8	j	j	PROPN
ejpam-3818	118	9	+	+	PROPN
ejpam-3818	118	10	w(k	w(k	PROPN
ejpam-3818	118	11	)	)	PUNCT
ejpam-3818	118	12	i	i	PROPN
ejpam-3818	118	13	,	,	PUNCT
ejpam-3818	118	14	n−k+1z(k−1	n−k+1z(k−1	NOUN
ejpam-3818	118	15	)	)	PUNCT
ejpam-3818	118	16	n−k+1	n−k+1	NOUN
ejpam-3818	118	17	,	,	PUNCT
ejpam-3818	118	18	j	j	PROPN
ejpam-3818	118	19	(	(	PUNCT
ejpam-3818	118	20	13	13	NUM
ejpam-3818	118	21	)	)	PUNCT
ejpam-3818	118	22	o.	o.	NOUN
ejpam-3818	118	23	babarinsa	babarinsa	VERB
ejpam-3818	118	24	et	et	PROPN
ejpam-3818	118	25	al	al	PROPN
ejpam-3818	118	26	.	.	PUNCT
ejpam-3818	118	27	/	/	SYM
ejpam-3818	118	28	eur	eur	PROPN
ejpam-3818	118	29	.	.	PUNCT
ejpam-3818	119	1	j.	j.	PROPN
ejpam-3818	119	2	pure	pure	PROPN
ejpam-3818	119	3	appl	appl	PROPN
ejpam-3818	119	4	.	.	PROPN
ejpam-3818	119	5	math	math	PROPN
ejpam-3818	119	6	,	,	PUNCT
ejpam-3818	119	7	13	13	NUM
ejpam-3818	119	8	(	(	PUNCT
ejpam-3818	119	9	4	4	NUM
ejpam-3818	119	10	)	)	PUNCT
ejpam-3818	119	11	(	(	PUNCT
ejpam-3818	119	12	2020	2020	NUM
ejpam-3818	119	13	)	)	PUNCT
ejpam-3818	119	14	,	,	PUNCT
ejpam-3818	119	15	1035	1035	NUM
ejpam-3818	119	16	-	-	SYM
ejpam-3818	119	17	1054	1054	NUM
ejpam-3818	119	18	1042	1042	NUM
ejpam-3818	119	19	and	and	CCONJ
ejpam-3818	119	20	we	we	PRON
ejpam-3818	119	21	then	then	ADV
ejpam-3818	119	22	proceed	proceed	VERB
ejpam-3818	119	23	similarly	similarly	ADV
ejpam-3818	119	24	for	for	ADP
ejpam-3818	119	25	the	the	DET
ejpam-3818	119	26	central	central	ADJ
ejpam-3818	119	27	submatrices	submatrice	NOUN
ejpam-3818	119	28	of	of	ADP
ejpam-3818	119	29	size	size	NOUN
ejpam-3818	119	30	(	(	PUNCT
ejpam-3818	119	31	n−	n−	NOUN
ejpam-3818	119	32	2k	2k	NUM
ejpam-3818	119	33	)	)	PUNCT
ejpam-3818	119	34	and	and	CCONJ
ejpam-3818	119	35	so	so	ADV
ejpam-3818	119	36	on	on	ADV
ejpam-3818	119	37	,	,	PUNCT
ejpam-3818	119	38	where	where	SCONJ
ejpam-3818	119	39	k	k	PROPN
ejpam-3818	119	40	=	=	SYM
ejpam-3818	119	41	1,2	1,2	NUM
ejpam-3818	119	42	,	,	PUNCT
ejpam-3818	119	43	...	...	PUNCT
ejpam-3818	119	44	,	,	PUNCT
ejpam-3818	119	45	bn	bn	NOUN
ejpam-3818	119	46	2c	2c	NUM
ejpam-3818	119	47	,	,	PUNCT
ejpam-3818	119	48	i	i	PRON
ejpam-3818	119	49	,	,	PUNCT
ejpam-3818	119	50	j	j	PROPN
ejpam-3818	120	1	=	=	SYM
ejpam-3818	120	2	k	k	PROPN
ejpam-3818	121	1	+	+	PROPN
ejpam-3818	121	2	1	1	NUM
ejpam-3818	121	3	,	,	PUNCT
ejpam-3818	121	4	...	...	PUNCT
ejpam-3818	121	5	,	,	PUNCT
ejpam-3818	121	6	n−	n−	PROPN
ejpam-3818	121	7	k	k	PROPN
ejpam-3818	121	8	and	and	CCONJ
ejpam-3818	121	9	z(k)i	z(k)i	PROPN
ejpam-3818	121	10	,	,	PUNCT
ejpam-3818	121	11	j	j	PROPN
ejpam-3818	121	12	∈	∈	PROPN
ejpam-3818	121	13	r	r	NOUN
ejpam-3818	121	14	,	,	PUNCT
ejpam-3818	121	15	see	see	VERB
ejpam-3818	121	16	[	[	X
ejpam-3818	121	17	9	9	NUM
ejpam-3818	121	18	]	]	PUNCT
ejpam-3818	121	19	.	.	PUNCT
ejpam-3818	122	1	we	we	PRON
ejpam-3818	122	2	can	can	AUX
ejpam-3818	122	3	now	now	ADV
ejpam-3818	122	4	re	re	VERB
ejpam-3818	122	5	-	-	VERB
ejpam-3818	122	6	write	write	ADJ
ejpam-3818	122	7	equation	equation	NOUN
ejpam-3818	122	8	(	(	PUNCT
ejpam-3818	122	9	12	12	NUM
ejpam-3818	122	10	)	)	PUNCT
ejpam-3818	122	11	in	in	ADP
ejpam-3818	122	12	matrix	matrix	NOUN
ejpam-3818	122	13	form	form	NOUN
ejpam-3818	122	14	as	as	ADP
ejpam-3818	122	15	b︷	b︷	NOUN
ejpam-3818	122	16	︸︸	︸︸	PUNCT
ejpam-3818	122	17	︷	︷	PROPN
ejpam-3818	122	18	[	[	PUNCT
ejpam-3818	122	19	z(k−1	z(k−1	PROPN
ejpam-3818	122	20	)	)	PUNCT
ejpam-3818	122	21	k	k	NOUN
ejpam-3818	122	22	,	,	PUNCT
ejpam-3818	122	23	k	k	PROPN
ejpam-3818	122	24	z(k−1	z(k−1	PROPN
ejpam-3818	122	25	)	)	PUNCT
ejpam-3818	122	26	n−k+1,k	n−k+1,k	PROPN
ejpam-3818	122	27	z(k−1	z(k−1	NUM
ejpam-3818	122	28	)	)	PUNCT
ejpam-3818	122	29	k	k	NOUN
ejpam-3818	122	30	,	,	PUNCT
ejpam-3818	122	31	n−k+1	n−k+1	VERB
ejpam-3818	122	32	z(k−1	z(k−1	NOUN
ejpam-3818	122	33	)	)	PUNCT
ejpam-3818	122	34	n−k+1,n−k+1	n−k+1,n−k+1	VERB
ejpam-3818	122	35	]	]	PUNCT
ejpam-3818	123	1	w︷	w︷	PROPN
ejpam-3818	123	2	︸︸	︸︸	PUNCT
ejpam-3818	123	3	︷	︷	PROPN
ejpam-3818	123	4	[	[	PUNCT
ejpam-3818	123	5	w(k	w(k	PROPN
ejpam-3818	123	6	)	)	PUNCT
ejpam-3818	123	7	i	i	PROPN
ejpam-3818	123	8	,	,	PUNCT
ejpam-3818	123	9	k	k	PROPN
ejpam-3818	123	10	w(k	w(k	PROPN
ejpam-3818	123	11	)	)	PUNCT
ejpam-3818	123	12	i	i	PROPN
ejpam-3818	123	13	,	,	PUNCT
ejpam-3818	123	14	n−k+1	n−k+1	VERB
ejpam-3818	123	15	]	]	PUNCT
ejpam-3818	123	16	=	=	PUNCT
ejpam-3818	123	17	c︷	c︷	PROPN
ejpam-3818	123	18	︸︸	︸︸	PUNCT
ejpam-3818	123	19	︷	︷	X
ejpam-3818	123	20	[	[	PUNCT
ejpam-3818	123	21	−z(k−1	−z(k−1	NUM
ejpam-3818	123	22	)	)	PUNCT
ejpam-3818	123	23	i	i	PRON
ejpam-3818	123	24	,	,	PUNCT
ejpam-3818	123	25	k	k	PROPN
ejpam-3818	123	26	−z(k−1	−z(k−1	NOUN
ejpam-3818	123	27	)	)	PUNCT
ejpam-3818	124	1	i	i	PRON
ejpam-3818	124	2	,	,	PUNCT
ejpam-3818	124	3	n−k+1	n−k+1	VERB
ejpam-3818	124	4	]	]	PUNCT
ejpam-3818	124	5	(	(	PUNCT
ejpam-3818	124	6	14	14	NUM
ejpam-3818	124	7	)	)	PUNCT
ejpam-3818	124	8	if	if	SCONJ
ejpam-3818	124	9	we	we	PRON
ejpam-3818	124	10	apply	apply	VERB
ejpam-3818	124	11	theorem	theorem	NOUN
ejpam-3818	124	12	1	1	NUM
ejpam-3818	124	13	to	to	PART
ejpam-3818	124	14	derive	derive	VERB
ejpam-3818	124	15	w	w	NOUN
ejpam-3818	124	16	-	-	NOUN
ejpam-3818	124	17	matrix	matrix	NOUN
ejpam-3818	124	18	by	by	ADP
ejpam-3818	124	19	computing	compute	VERB
ejpam-3818	124	20	w(k	w(k	PROPN
ejpam-3818	124	21	)	)	PUNCT
ejpam-3818	125	1	i	i	PRON
ejpam-3818	125	2	,	,	PUNCT
ejpam-3818	125	3	k	k	PROPN
ejpam-3818	125	4	and	and	CCONJ
ejpam-3818	125	5	w(k	w(k	PROPN
ejpam-3818	125	6	)	)	PUNCT
ejpam-3818	125	7	i	i	PROPN
ejpam-3818	125	8	,	,	PUNCT
ejpam-3818	125	9	n−k+1	n−k+1	PROPN
ejpam-3818	125	10	(	(	PUNCT
ejpam-3818	125	11	from	from	ADP
ejpam-3818	125	12	bw	bw	NOUN
ejpam-3818	125	13	=	=	SYM
ejpam-3818	125	14	c	c	NOUN
ejpam-3818	125	15	)	)	PUNCT
ejpam-3818	125	16	with	with	ADP
ejpam-3818	125	17	respect	respect	NOUN
ejpam-3818	125	18	to	to	ADP
ejpam-3818	125	19	first	first	ADJ
ejpam-3818	125	20	and	and	CCONJ
ejpam-3818	125	21	second	second	ADJ
ejpam-3818	125	22	column	column	NOUN
ejpam-3818	125	23	of	of	ADP
ejpam-3818	125	24	b	b	PROPN
ejpam-3818	125	25	from	from	ADP
ejpam-3818	125	26	equation	equation	NOUN
ejpam-3818	125	27	(	(	PUNCT
ejpam-3818	125	28	14	14	NUM
ejpam-3818	125	29	)	)	PUNCT
ejpam-3818	125	30	,	,	PUNCT
ejpam-3818	125	31	we	we	PRON
ejpam-3818	125	32	will	will	AUX
ejpam-3818	125	33	obtain	obtain	VERB
ejpam-3818	125	34	w(k	w(k	NOUN
ejpam-3818	125	35	)	)	PUNCT
ejpam-3818	126	1	i	i	PRON
ejpam-3818	126	2	,	,	PUNCT
ejpam-3818	126	3	k	k	PROPN
ejpam-3818	126	4	=	=	SYM
ejpam-3818	126	5	det	det	PROPN
ejpam-3818	126	6	(	(	PUNCT
ejpam-3818	126	7	b1|c	b1|c	PROPN
ejpam-3818	126	8	)	)	PUNCT
ejpam-3818	126	9	det	det	NOUN
ejpam-3818	126	10	(	(	PUNCT
ejpam-3818	126	11	b	b	NOUN
ejpam-3818	126	12	)	)	PUNCT
ejpam-3818	126	13	and	and	CCONJ
ejpam-3818	126	14	w(k	w(k	PROPN
ejpam-3818	126	15	)	)	PUNCT
ejpam-3818	127	1	i	i	PROPN
ejpam-3818	127	2	,	,	PUNCT
ejpam-3818	127	3	n−k+1	n−k+1	PROPN
ejpam-3818	127	4	=	=	SYM
ejpam-3818	127	5	det	det	X
ejpam-3818	127	6	(	(	PUNCT
ejpam-3818	127	7	b2|c	b2|c	PROPN
ejpam-3818	127	8	)	)	PUNCT
ejpam-3818	127	9	det	det	NOUN
ejpam-3818	127	10	(	(	PUNCT
ejpam-3818	127	11	b	b	NOUN
ejpam-3818	127	12	)	)	PUNCT
ejpam-3818	127	13	.	.	PUNCT
ejpam-3818	128	1	(	(	PUNCT
ejpam-3818	128	2	15	15	X
ejpam-3818	128	3	)	)	PUNCT
ejpam-3818	128	4	the	the	DET
ejpam-3818	128	5	factorization	factorization	NOUN
ejpam-3818	128	6	obtained	obtain	VERB
ejpam-3818	128	7	using	use	VERB
ejpam-3818	128	8	cramer	cramer	PROPN
ejpam-3818	128	9	’s	’s	PART
ejpam-3818	128	10	rule	rule	NOUN
ejpam-3818	128	11	when	when	SCONJ
ejpam-3818	128	12	we	we	PRON
ejpam-3818	128	13	grouped	group	VERB
ejpam-3818	128	14	and	and	CCONJ
ejpam-3818	128	15	ordered	order	VERB
ejpam-3818	128	16	the	the	DET
ejpam-3818	128	17	scalar	scalar	ADJ
ejpam-3818	128	18	operations	operation	NOUN
ejpam-3818	128	19	into	into	ADP
ejpam-3818	128	20	matrix	matrix	NOUN
ejpam-3818	128	21	-	-	PUNCT
ejpam-3818	128	22	vector	vector	NOUN
ejpam-3818	128	23	operation	operation	NOUN
ejpam-3818	128	24	is	be	AUX
ejpam-3818	128	25	the	the	DET
ejpam-3818	128	26	vectorized	vectorize	VERB
ejpam-3818	128	27	wz	wz	ADP
ejpam-3818	128	28	factorization	factorization	NOUN
ejpam-3818	128	29	(	(	PUNCT
ejpam-3818	128	30	vwz	vwz	NOUN
ejpam-3818	128	31	factorization	factorization	NOUN
ejpam-3818	128	32	)	)	PUNCT
ejpam-3818	128	33	,	,	PUNCT
ejpam-3818	128	34	see	see	VERB
ejpam-3818	128	35	[	[	X
ejpam-3818	128	36	13	13	NUM
ejpam-3818	128	37	]	]	PUNCT
ejpam-3818	128	38	for	for	ADP
ejpam-3818	128	39	its	its	PRON
ejpam-3818	128	40	matlab	matlab	PROPN
ejpam-3818	128	41	code	code	NOUN
ejpam-3818	128	42	.	.	PUNCT
ejpam-3818	129	1	furthermore	furthermore	ADV
ejpam-3818	129	2	,	,	PUNCT
ejpam-3818	129	3	if	if	SCONJ
ejpam-3818	129	4	corollary	corollary	ADJ
ejpam-3818	129	5	1	1	NUM
ejpam-3818	129	6	is	be	AUX
ejpam-3818	129	7	applied	apply	VERB
ejpam-3818	129	8	to	to	PART
ejpam-3818	129	9	compute	compute	VERB
ejpam-3818	129	10	w(k	w(k	PROPN
ejpam-3818	129	11	)	)	PUNCT
ejpam-3818	130	1	i	i	PRON
ejpam-3818	130	2	,	,	PUNCT
ejpam-3818	130	3	k	k	PROPN
ejpam-3818	130	4	and	and	CCONJ
ejpam-3818	130	5	w(k	w(k	PROPN
ejpam-3818	130	6	)	)	PUNCT
ejpam-3818	130	7	i	i	PROPN
ejpam-3818	130	8	,	,	PUNCT
ejpam-3818	130	9	n−k+1	n−k+1	VERB
ejpam-3818	130	10	in	in	ADP
ejpam-3818	130	11	equation	equation	NOUN
ejpam-3818	130	12	(	(	PUNCT
ejpam-3818	130	13	14	14	NUM
ejpam-3818	130	14	)	)	PUNCT
ejpam-3818	130	15	.	.	PUNCT
ejpam-3818	131	1	then	then	ADV
ejpam-3818	131	2	,	,	PUNCT
ejpam-3818	131	3	det	det	PROPN
ejpam-3818	131	4	(	(	PUNCT
ejpam-3818	131	5	b	b	NOUN
ejpam-3818	131	6	)	)	PUNCT
ejpam-3818	131	7	=	=	NOUN
ejpam-3818	131	8	z(k−1	z(k−1	NUM
ejpam-3818	131	9	)	)	PUNCT
ejpam-3818	131	10	n−k+1,n−k+1z(k−1	n−k+1,n−k+1z(k−1	NUM
ejpam-3818	131	11	)	)	PUNCT
ejpam-3818	131	12	k	k	NOUN
ejpam-3818	131	13	,	,	PUNCT
ejpam-3818	131	14	k	k	PROPN
ejpam-3818	131	15	−	−	PROPN
ejpam-3818	131	16	z(k−1	z(k−1	NUM
ejpam-3818	131	17	)	)	PUNCT
ejpam-3818	131	18	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	131	19	)	)	PUNCT
ejpam-3818	131	20	k	k	NOUN
ejpam-3818	131	21	,	,	PUNCT
ejpam-3818	131	22	n−k+1	n−k+1	NOUN
ejpam-3818	131	23	det	det	PROPN
ejpam-3818	131	24	(	(	PUNCT
ejpam-3818	131	25	b1−(c+c1	b1−(c+c1	PROPN
ejpam-3818	131	26	)	)	PUNCT
ejpam-3818	131	27	)	)	PUNCT
ejpam-3818	132	1	=	=	NOUN
ejpam-3818	132	2	−	−	PROPN
ejpam-3818	132	3	z(k−1	z(k−1	NUM
ejpam-3818	132	4	)	)	PUNCT
ejpam-3818	132	5	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	132	6	)	)	PUNCT
ejpam-3818	132	7	n−k+1,n−k+1	n−k+1,n−k+1	VERB
ejpam-3818	132	8	+	+	NUM
ejpam-3818	132	9	z(k−1	z(k−1	NUM
ejpam-3818	132	10	)	)	PUNCT
ejpam-3818	132	11	n−k+1,n−k+1z(k−1	n−k+1,n−k+1z(k−1	PUNCT
ejpam-3818	132	12	)	)	PUNCT
ejpam-3818	133	1	i	i	PRON
ejpam-3818	133	2	,	,	PUNCT
ejpam-3818	133	3	k	k	PROPN
ejpam-3818	133	4	−	−	PROPN
ejpam-3818	133	5	z(k−1	z(k−1	NUM
ejpam-3818	133	6	)	)	PUNCT
ejpam-3818	133	7	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	133	8	)	)	PUNCT
ejpam-3818	133	9	k	k	NOUN
ejpam-3818	133	10	,	,	PUNCT
ejpam-3818	133	11	n−k+1	n−k+1	VERB
ejpam-3818	133	12	+	+	NUM
ejpam-3818	133	13	z(k−1	z(k−1	NUM
ejpam-3818	133	14	)	)	PUNCT
ejpam-3818	134	1	k	k	NOUN
ejpam-3818	134	2	,	,	PUNCT
ejpam-3818	134	3	k	k	PROPN
ejpam-3818	134	4	z(k−1	z(k−1	PROPN
ejpam-3818	134	5	)	)	PUNCT
ejpam-3818	135	1	n−k+1,n−k+1	n−k+1,n−k+1	VERB
ejpam-3818	135	2	+	+	NUM
ejpam-3818	135	3	z(k−1	z(k−1	NUM
ejpam-3818	135	4	)	)	PUNCT
ejpam-3818	135	5	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	135	6	)	)	PUNCT
ejpam-3818	135	7	k	k	NOUN
ejpam-3818	135	8	,	,	PUNCT
ejpam-3818	135	9	n−k+1	n−k+1	VERB
ejpam-3818	135	10	+	+	NUM
ejpam-3818	135	11	z(k−1	z(k−1	NUM
ejpam-3818	135	12	)	)	PUNCT
ejpam-3818	135	13	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	135	14	)	)	PUNCT
ejpam-3818	135	15	n−k+1,n−k+1	n−k+1,n−k+1	ADP
ejpam-3818	135	16	−	−	NUM
ejpam-3818	135	17	z(k−1	z(k−1	NUM
ejpam-3818	135	18	)	)	PUNCT
ejpam-3818	135	19	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	135	20	)	)	PUNCT
ejpam-3818	136	1	i	i	PRON
ejpam-3818	136	2	,	,	PUNCT
ejpam-3818	136	3	n−k+1−	n−k+1−	NOUN
ejpam-3818	136	4	z(k−1	z(k−1	NUM
ejpam-3818	136	5	)	)	PUNCT
ejpam-3818	137	1	k	k	NOUN
ejpam-3818	137	2	,	,	PUNCT
ejpam-3818	137	3	k	k	PROPN
ejpam-3818	137	4	z(k−1	z(k−1	PROPN
ejpam-3818	137	5	)	)	PUNCT
ejpam-3818	138	1	n−k+1,n−k+1	n−k+1,n−k+1	PRON
ejpam-3818	138	2	=	=	NOUN
ejpam-3818	138	3	−	−	NOUN
ejpam-3818	138	4	z(k−1	z(k−1	NUM
ejpam-3818	138	5	)	)	PUNCT
ejpam-3818	138	6	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	138	7	)	)	PUNCT
ejpam-3818	138	8	i	i	PRON
ejpam-3818	138	9	,	,	PUNCT
ejpam-3818	138	10	n−k+1	n−k+1	VERB
ejpam-3818	138	11	+	+	NUM
ejpam-3818	138	12	z(k−1	z(k−1	NUM
ejpam-3818	138	13	)	)	PUNCT
ejpam-3818	138	14	n−k+1,n−k+1z(k−1	n−k+1,n−k+1z(k−1	PUNCT
ejpam-3818	138	15	)	)	PUNCT
ejpam-3818	139	1	i	i	PRON
ejpam-3818	139	2	,	,	PUNCT
ejpam-3818	139	3	k	k	PROPN
ejpam-3818	139	4	det	det	PROPN
ejpam-3818	139	5	(	(	PUNCT
ejpam-3818	139	6	b2−(c+c1	b2−(c+c1	PROPN
ejpam-3818	139	7	)	)	PUNCT
ejpam-3818	139	8	)	)	PUNCT
ejpam-3818	140	1	=	=	NOUN
ejpam-3818	140	2	−	−	PROPN
ejpam-3818	140	3	z(k−1	z(k−1	NUM
ejpam-3818	140	4	)	)	PUNCT
ejpam-3818	140	5	k	k	NOUN
ejpam-3818	140	6	,	,	PUNCT
ejpam-3818	140	7	k	k	PROPN
ejpam-3818	140	8	z(k−1	z(k−1	PROPN
ejpam-3818	140	9	)	)	PUNCT
ejpam-3818	140	10	k	k	NOUN
ejpam-3818	140	11	,	,	PUNCT
ejpam-3818	140	12	n−k+1−	n−k+1−	NOUN
ejpam-3818	140	13	z(k−1	z(k−1	NUM
ejpam-3818	140	14	)	)	PUNCT
ejpam-3818	140	15	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	140	16	)	)	PUNCT
ejpam-3818	140	17	k	k	NOUN
ejpam-3818	140	18	,	,	PUNCT
ejpam-3818	140	19	n−k+1	n−k+1	VERB
ejpam-3818	140	20	+	+	NUM
ejpam-3818	140	21	z(k−1	z(k−1	NUM
ejpam-3818	140	22	)	)	PUNCT
ejpam-3818	141	1	k	k	NOUN
ejpam-3818	141	2	,	,	PUNCT
ejpam-3818	141	3	k	k	PROPN
ejpam-3818	141	4	z(k−1	z(k−1	PROPN
ejpam-3818	141	5	)	)	PUNCT
ejpam-3818	141	6	k	k	NOUN
ejpam-3818	141	7	,	,	PUNCT
ejpam-3818	141	8	n−k+1	n−k+1	VERB
ejpam-3818	141	9	−	−	PROPN
ejpam-3818	141	10	z(k−1	z(k−1	NUM
ejpam-3818	141	11	)	)	PUNCT
ejpam-3818	142	1	k	k	NOUN
ejpam-3818	142	2	,	,	PUNCT
ejpam-3818	142	3	k	k	PROPN
ejpam-3818	142	4	z(k−1	z(k−1	PROPN
ejpam-3818	142	5	)	)	PUNCT
ejpam-3818	142	6	n−k+1,n−k+1−	n−k+1,n−k+1−	PROPN
ejpam-3818	142	7	z(k−1	z(k−1	NUM
ejpam-3818	142	8	)	)	PUNCT
ejpam-3818	143	1	k	k	NOUN
ejpam-3818	143	2	,	,	PUNCT
ejpam-3818	143	3	n−k+1z(k−1	n−k+1z(k−1	PROPN
ejpam-3818	143	4	)	)	PUNCT
ejpam-3818	144	1	i	i	PRON
ejpam-3818	144	2	,	,	PUNCT
ejpam-3818	144	3	k	k	PROPN
ejpam-3818	144	4	+	+	NUM
ejpam-3818	144	5	z(k−1	z(k−1	NUM
ejpam-3818	144	6	)	)	PUNCT
ejpam-3818	145	1	k	k	NOUN
ejpam-3818	145	2	,	,	PUNCT
ejpam-3818	145	3	k	k	PROPN
ejpam-3818	145	4	z(k−1	z(k−1	PROPN
ejpam-3818	145	5	)	)	PUNCT
ejpam-3818	145	6	i	i	PRON
ejpam-3818	145	7	,	,	PUNCT
ejpam-3818	145	8	n−k+1	n−k+1	VERB
ejpam-3818	145	9	+	+	NUM
ejpam-3818	145	10	z(k−1	z(k−1	NUM
ejpam-3818	145	11	)	)	PUNCT
ejpam-3818	145	12	n−k+1,kz(k−1	n−k+1,kz(k−1	PROPN
ejpam-3818	145	13	)	)	PUNCT
ejpam-3818	145	14	k	k	NOUN
ejpam-3818	145	15	,	,	PUNCT
ejpam-3818	145	16	n−k+1	n−k+1	VERB
ejpam-3818	145	17	+	+	NUM
ejpam-3818	145	18	z(k−1	z(k−1	NUM
ejpam-3818	145	19	)	)	PUNCT
ejpam-3818	146	1	k	k	NOUN
ejpam-3818	146	2	,	,	PUNCT
ejpam-3818	146	3	k	k	PROPN
ejpam-3818	146	4	z(k−1	z(k−1	PROPN
ejpam-3818	146	5	)	)	PUNCT
ejpam-3818	146	6	n−k+1,n−k+1	n−k+1,n−k+1	PRON
ejpam-3818	146	7	=	=	NOUN
ejpam-3818	146	8	−	−	NOUN
ejpam-3818	146	9	z(k−1	z(k−1	NUM
ejpam-3818	146	10	)	)	PUNCT
ejpam-3818	146	11	k	k	NOUN
ejpam-3818	146	12	,	,	PUNCT
ejpam-3818	146	13	n−k+1z(k−1	n−k+1z(k−1	PROPN
ejpam-3818	146	14	)	)	PUNCT
ejpam-3818	147	1	i	i	PRON
ejpam-3818	147	2	,	,	PUNCT
ejpam-3818	147	3	k	k	PROPN
ejpam-3818	147	4	+	+	NUM
ejpam-3818	147	5	z(k−1	z(k−1	NUM
ejpam-3818	147	6	)	)	PUNCT
ejpam-3818	148	1	k	k	NOUN
ejpam-3818	148	2	,	,	PUNCT
ejpam-3818	148	3	k	k	PROPN
ejpam-3818	148	4	z(k−1	z(k−1	PROPN
ejpam-3818	148	5	)	)	PUNCT
ejpam-3818	148	6	i	i	PRON
ejpam-3818	148	7	,	,	PUNCT
ejpam-3818	148	8	n−k+1	n−k+1	VERB
ejpam-3818	149	1	where	where	SCONJ
ejpam-3818	149	2	w(k	w(k	PROPN
ejpam-3818	149	3	)	)	PUNCT
ejpam-3818	149	4	i	i	PRON
ejpam-3818	149	5	,	,	PUNCT
ejpam-3818	149	6	k	k	PROPN
ejpam-3818	149	7	=	=	PROPN
ejpam-3818	149	8	−	−	PROPN
ejpam-3818	149	9	det	det	NOUN
ejpam-3818	149	10	(	(	PUNCT
ejpam-3818	149	11	b1−(c+c1	b1−(c+c1	PROPN
ejpam-3818	149	12	)	)	PUNCT
ejpam-3818	149	13	)	)	PUNCT
ejpam-3818	149	14	det	det	NOUN
ejpam-3818	149	15	(	(	PUNCT
ejpam-3818	149	16	b	b	NOUN
ejpam-3818	149	17	)	)	PUNCT
ejpam-3818	149	18	and	and	CCONJ
ejpam-3818	149	19	w(k	w(k	PROPN
ejpam-3818	149	20	)	)	PUNCT
ejpam-3818	149	21	i	i	PROPN
ejpam-3818	149	22	,	,	PUNCT
ejpam-3818	149	23	n−k+1	n−k+1	VERB
ejpam-3818	149	24	=	=	SYM
ejpam-3818	149	25	−	−	PROPN
ejpam-3818	149	26	det	det	NOUN
ejpam-3818	149	27	(	(	PUNCT
ejpam-3818	149	28	b2−(c+c1	b2−(c+c1	PROPN
ejpam-3818	149	29	)	)	PUNCT
ejpam-3818	149	30	)	)	PUNCT
ejpam-3818	149	31	det	det	NOUN
ejpam-3818	149	32	(	(	PUNCT
ejpam-3818	149	33	b	b	NOUN
ejpam-3818	149	34	)	)	PUNCT
ejpam-3818	149	35	.	.	PUNCT
ejpam-3818	150	1	(	(	PUNCT
ejpam-3818	150	2	16	16	NUM
ejpam-3818	150	3	)	)	PUNCT
ejpam-3818	150	4	the	the	DET
ejpam-3818	150	5	w	w	PROPN
ejpam-3818	150	6	ozo	ozo	PROPN
ejpam-3818	150	7	factorization	factorization	NOUN
ejpam-3818	150	8	is	be	AUX
ejpam-3818	150	9	the	the	DET
ejpam-3818	150	10	factorization	factorization	NOUN
ejpam-3818	150	11	obtained	obtain	VERB
ejpam-3818	150	12	from	from	ADP
ejpam-3818	150	13	using	use	VERB
ejpam-3818	150	14	corollary	corollary	ADJ
ejpam-3818	150	15	1	1	NUM
ejpam-3818	150	16	,	,	PUNCT
ejpam-3818	150	17	where	where	SCONJ
ejpam-3818	150	18	the	the	DET
ejpam-3818	150	19	w	w	NOUN
ejpam-3818	150	20	-	-	PUNCT
ejpam-3818	150	21	matrix	matrix	NOUN
ejpam-3818	150	22	obtained	obtain	VERB
ejpam-3818	150	23	is	be	AUX
ejpam-3818	150	24	referred	refer	VERB
ejpam-3818	150	25	to	to	ADP
ejpam-3818	150	26	as	as	ADP
ejpam-3818	150	27	w	w	PROPN
ejpam-3818	150	28	o	o	NOUN
ejpam-3818	150	29	-	-	NOUN
ejpam-3818	150	30	matrix	matrix	NOUN
ejpam-3818	150	31	and	and	CCONJ
ejpam-3818	150	32	its	its	PRON
ejpam-3818	150	33	z	z	NOUN
ejpam-3818	150	34	-	-	PUNCT
ejpam-3818	150	35	matrix	matrix	NOUN
ejpam-3818	150	36	as	as	ADP
ejpam-3818	150	37	zo	zo	NOUN
ejpam-3818	150	38	-	-	NOUN
ejpam-3818	150	39	matrix	matrix	NOUN
ejpam-3818	150	40	.	.	PUNCT
ejpam-3818	151	1	the	the	DET
ejpam-3818	151	2	complete	complete	ADJ
ejpam-3818	151	3	matlab	matlab	PROPN
ejpam-3818	151	4	code	code	PROPN
ejpam-3818	151	5	of	of	ADP
ejpam-3818	151	6	w	w	PROPN
ejpam-3818	151	7	ozofactorization	ozofactorization	PROPN
ejpam-3818	151	8	is	be	AUX
ejpam-3818	151	9	given	give	VERB
ejpam-3818	151	10	in	in	ADP
ejpam-3818	151	11	listing	list	VERB
ejpam-3818	151	12	2	2	NUM
ejpam-3818	151	13	.	.	PUNCT
ejpam-3818	151	14	listing	list	VERB
ejpam-3818	151	15	2	2	NUM
ejpam-3818	151	16	:	:	PUNCT
ejpam-3818	151	17	matlab	matlab	PROPN
ejpam-3818	151	18	code	code	PROPN
ejpam-3818	151	19	of	of	ADP
ejpam-3818	151	20	w	w	PROPN
ejpam-3818	151	21	ozo	ozo	PROPN
ejpam-3818	151	22	factorization	factorization	NOUN
ejpam-3818	151	23	.	.	PUNCT
ejpam-3818	152	1	1	1	NUM
ejpam-3818	152	2	f	f	X
ejpam-3818	152	3	u	u	NOUN
ejpam-3818	152	4	n	n	PROPN
ejpam-3818	152	5	c	c	NOUN
ejpam-3818	152	6	t	t	NOUN
ejpam-3818	153	1	i	i	PRON
ejpam-3818	153	2	o	o	VERB
ejpam-3818	154	1	n	n	PRON
ejpam-3818	155	1	o	o	X
ejpam-3818	155	2	p	p	NOUN
ejpam-3818	155	3	t	t	X
ejpam-3818	156	1	i	i	PRON
ejpam-3818	156	2	m	m	VERB
ejpam-3818	157	1	i	i	VERB
ejpam-3818	158	1	z	z	NOUN
ejpam-3818	158	2	e	e	X
ejpam-3818	159	1	d	d	X
ejpam-3818	159	2	w	w	PROPN
ejpam-3818	159	3	z	z	PROPN
ejpam-3818	159	4	f	f	PROPN
ejpam-3818	160	1	a	a	DET
ejpam-3818	160	2	c	c	NOUN
ejpam-3818	160	3	t	t	NOUN
ejpam-3818	160	4	o	o	NOUN
ejpam-3818	161	1	r	r	NOUN
ejpam-3818	161	2	i	i	NOUN
ejpam-3818	161	3	z	z	VERB
ejpam-3818	162	1	a	a	DET
ejpam-3818	162	2	t	t	NOUN
ejpam-3818	163	1	i	i	PRON
ejpam-3818	163	2	o	o	VERB
ejpam-3818	163	3	n	n	INTJ
ejpam-3818	163	4	(	(	PUNCT
ejpam-3818	163	5	b	b	PROPN
ejpam-3818	163	6	,	,	PUNCT
ejpam-3818	163	7	w	w	PROPN
ejpam-3818	163	8	,	,	PUNCT
ejpam-3818	163	9	z	z	NOUN
ejpam-3818	163	10	)	)	PUNCT
ejpam-3818	163	11	2	2	NUM
ejpam-3818	163	12	%	%	NOUN
ejpam-3818	163	13	s	s	PART
ejpam-3818	163	14	t	t	NOUN
ejpam-3818	163	15	e	e	NOUN
ejpam-3818	163	16	p	p	X
ejpam-3818	163	17	s	s	PROPN
ejpam-3818	163	18	o	o	X
ejpam-3818	163	19	f	f	X
ejpam-3818	164	1	e	e	X
ejpam-3818	164	2	l	l	NOUN
ejpam-3818	164	3	i	i	PRON
ejpam-3818	164	4	m	m	VERB
ejpam-3818	164	5	i	i	PRON
ejpam-3818	164	6	n	n	ADV
ejpam-3818	164	7	a	a	DET
ejpam-3818	164	8	t	t	NOUN
ejpam-3818	165	1	i	i	PRON
ejpam-3818	165	2	o	o	INTJ
ejpam-3818	166	1	n	n	ADV
ejpam-3818	166	2	−	−	PROPN
ejpam-3818	166	3	from	from	ADP
ejpam-3818	166	4	b	b	PROPN
ejpam-3818	166	5	t	t	NOUN
ejpam-3818	167	1	o	o	X
ejpam-3818	167	2	z	z	NOUN
ejpam-3818	167	3	o.	o.	NOUN
ejpam-3818	167	4	babarinsa	babarinsa	PROPN
ejpam-3818	167	5	et	et	PROPN
ejpam-3818	167	6	al	al	PROPN
ejpam-3818	167	7	.	.	PUNCT
ejpam-3818	167	8	/	/	SYM
ejpam-3818	167	9	eur	eur	PROPN
ejpam-3818	167	10	.	.	PUNCT
ejpam-3818	168	1	j.	j.	PROPN
ejpam-3818	168	2	pure	pure	PROPN
ejpam-3818	168	3	appl	appl	PROPN
ejpam-3818	168	4	.	.	PROPN
ejpam-3818	168	5	math	math	PROPN
ejpam-3818	168	6	,	,	PUNCT
ejpam-3818	168	7	13	13	NUM
ejpam-3818	168	8	(	(	PUNCT
ejpam-3818	168	9	4	4	NUM
ejpam-3818	168	10	)	)	PUNCT
ejpam-3818	168	11	(	(	PUNCT
ejpam-3818	168	12	2020	2020	NUM
ejpam-3818	168	13	)	)	PUNCT
ejpam-3818	168	14	,	,	PUNCT
ejpam-3818	168	15	1035	1035	NUM
ejpam-3818	168	16	-	-	SYM
ejpam-3818	168	17	1054	1054	NUM
ejpam-3818	168	18	1043	1043	NUM
ejpam-3818	168	19	3	3	NUM
ejpam-3818	168	20	b=	b=	NOUN
ejpam-3818	168	21	i	i	PRON
ejpam-3818	168	22	n	n	NUM
ejpam-3818	168	23	p	p	PROPN
ejpam-3818	168	24	u	u	X
ejpam-3818	168	25	t	t	X
ejpam-3818	168	26	(	(	PUNCT
ejpam-3818	168	27	'	'	PUNCT
ejpam-3818	168	28	m	m	VERB
ejpam-3818	168	29	a	a	DET
ejpam-3818	168	30	t	t	NOUN
ejpam-3818	169	1	r	r	NOUN
ejpam-3818	169	2	i	i	NOUN
ejpam-3818	169	3	x	x	SYM
ejpam-3818	169	4	b	b	X
ejpam-3818	169	5	=	=	PRON
ejpam-3818	169	6	'	'	PUNCT
ejpam-3818	169	7	)	)	PUNCT
ejpam-3818	169	8	;	;	PUNCT
ejpam-3818	169	9	4	4	NUM
ejpam-3818	169	10	n	n	NOUN
ejpam-3818	169	11	=	=	SYM
ejpam-3818	169	12	s	s	X
ejpam-3818	170	1	i	i	NOUN
ejpam-3818	170	2	z	z	NOUN
ejpam-3818	170	3	e	e	X
ejpam-3818	170	4	(	(	PUNCT
ejpam-3818	170	5	b	b	NOUN
ejpam-3818	170	6	,	,	PUNCT
ejpam-3818	170	7	1	1	NUM
ejpam-3818	170	8	)	)	PUNCT
ejpam-3818	170	9	;	;	PUNCT
ejpam-3818	171	1	5	5	NUM
ejpam-3818	171	2	w	w	NOUN
ejpam-3818	171	3	=	=	PUNCT
ejpam-3818	171	4	z	z	NOUN
ejpam-3818	171	5	e	e	NOUN
ejpam-3818	171	6	r	r	NOUN
ejpam-3818	171	7	o	o	X
ejpam-3818	171	8	s	s	X
ejpam-3818	171	9	(	(	PUNCT
ejpam-3818	171	10	n	n	PROPN
ejpam-3818	171	11	)	)	PUNCT
ejpam-3818	171	12	;	;	PUNCT
ejpam-3818	171	13	6	6	NUM
ejpam-3818	171	14	f	f	NOUN
ejpam-3818	171	15	o	o	NOUN
ejpam-3818	171	16	r	r	NOUN
ejpam-3818	171	17	k	k	NOUN
ejpam-3818	171	18	=	=	SYM
ejpam-3818	171	19	1	1	NUM
ejpam-3818	171	20	:	:	PUNCT
ejpam-3818	171	21	c	c	NOUN
ejpam-3818	171	22	e	e	NOUN
ejpam-3818	171	23	i	i	PRON
ejpam-3818	171	24	l	l	VERB
ejpam-3818	171	25	(	(	PUNCT
ejpam-3818	171	26	(	(	PUNCT
ejpam-3818	171	27	n−1	n−1	PROPN
ejpam-3818	171	28	)	)	PUNCT
ejpam-3818	171	29	/	/	SYM
ejpam-3818	171	30	2	2	NUM
ejpam-3818	171	31	)	)	PUNCT
ejpam-3818	171	32	7	7	NUM
ejpam-3818	171	33	k2	k2	NOUN
ejpam-3818	171	34	=	=	PROPN
ejpam-3818	171	35	n	n	CCONJ
ejpam-3818	171	36	−	−	PROPN
ejpam-3818	171	37	k	k	NOUN
ejpam-3818	172	1	+	+	CCONJ
ejpam-3818	172	2	1	1	NUM
ejpam-3818	172	3	;	;	PUNCT
ejpam-3818	172	4	8	8	NUM
ejpam-3818	172	5	d	d	NOUN
ejpam-3818	172	6	e	e	X
ejpam-3818	172	7	t	t	NOUN
ejpam-3818	173	1	e	e	PROPN
ejpam-3818	173	2	r	r	NOUN
ejpam-3818	173	3	m	m	VERB
ejpam-3818	173	4	i	i	PRON
ejpam-3818	173	5	n	n	ADV
ejpam-3818	173	6	a	a	DET
ejpam-3818	173	7	n	n	NOUN
ejpam-3818	173	8	t	t	NOUN
ejpam-3818	173	9	=	=	SYM
ejpam-3818	173	10	b	b	PROPN
ejpam-3818	173	11	(	(	PUNCT
ejpam-3818	173	12	k	k	X
ejpam-3818	173	13	,	,	PUNCT
ejpam-3818	173	14	k	k	PROPN
ejpam-3818	173	15	)	)	PUNCT
ejpam-3818	174	1	*	*	PUNCT
ejpam-3818	174	2	b	b	X
ejpam-3818	174	3	(	(	PUNCT
ejpam-3818	174	4	k2	k2	ADJ
ejpam-3818	174	5	,	,	PUNCT
ejpam-3818	174	6	k2	k2	PROPN
ejpam-3818	174	7	)	)	PUNCT
ejpam-3818	175	1	−	−	PROPN
ejpam-3818	175	2	b	b	X
ejpam-3818	175	3	(	(	PUNCT
ejpam-3818	175	4	k2	k2	PROPN
ejpam-3818	175	5	,	,	PUNCT
ejpam-3818	175	6	k	k	PROPN
ejpam-3818	175	7	)	)	PUNCT
ejpam-3818	176	1	*	*	PUNCT
ejpam-3818	176	2	b	b	X
ejpam-3818	176	3	(	(	PUNCT
ejpam-3818	176	4	k	k	PROPN
ejpam-3818	176	5	,	,	PUNCT
ejpam-3818	176	6	k2	k2	PROPN
ejpam-3818	176	7	)	)	PUNCT
ejpam-3818	176	8	;	;	PUNCT
ejpam-3818	177	1	9	9	NUM
ejpam-3818	177	2	i	i	NOUN
ejpam-3818	177	3	f	f	NOUN
ejpam-3818	178	1	d	d	X
ejpam-3818	178	2	e	e	PROPN
ejpam-3818	178	3	t	t	PROPN
ejpam-3818	178	4	e	e	PROPN
ejpam-3818	178	5	r	r	NOUN
ejpam-3818	178	6	m	m	VERB
ejpam-3818	178	7	i	i	PRON
ejpam-3818	178	8	n	n	ADV
ejpam-3818	178	9	a	a	DET
ejpam-3818	178	10	n	n	NOUN
ejpam-3818	178	11	t	t	NOUN
ejpam-3818	178	12	=	=	X
ejpam-3818	178	13	=	=	SYM
ejpam-3818	178	14	0	0	NUM
ejpam-3818	178	15	10	10	NUM
ejpam-3818	178	16	e	e	NOUN
ejpam-3818	178	17	x	x	NOUN
ejpam-3818	179	1	i	i	PRON
ejpam-3818	179	2	t	t	X
ejpam-3818	179	3	f	f	PROPN
ejpam-3818	179	4	l	l	NOUN
ejpam-3818	179	5	a	a	DET
ejpam-3818	179	6	g	g	NOUN
ejpam-3818	179	7	=	=	SYM
ejpam-3818	179	8	0	0	NUM
ejpam-3818	179	9	;	;	PUNCT
ejpam-3818	179	10	11	11	NUM
ejpam-3818	179	11	f	f	NOUN
ejpam-3818	180	1	o	o	NOUN
ejpam-3818	180	2	r	r	NOUN
ejpam-3818	180	3	i	i	NOUN
ejpam-3818	180	4	1	1	NUM
ejpam-3818	180	5	=	=	SYM
ejpam-3818	180	6	k	k	NOUN
ejpam-3818	180	7	:	:	PUNCT
ejpam-3818	180	8	k2	k2	PROPN
ejpam-3818	181	1	12	12	NUM
ejpam-3818	181	2	f	f	NOUN
ejpam-3818	181	3	o	o	NOUN
ejpam-3818	182	1	r	r	NOUN
ejpam-3818	182	2	i	i	NOUN
ejpam-3818	182	3	2	2	NUM
ejpam-3818	182	4	=	=	SYM
ejpam-3818	182	5	i	i	NOUN
ejpam-3818	182	6	1	1	NUM
ejpam-3818	182	7	:	:	PUNCT
ejpam-3818	182	8	k2	k2	PROPN
ejpam-3818	183	1	13	13	NUM
ejpam-3818	183	2	d	d	PROPN
ejpam-3818	183	3	e	e	PROPN
ejpam-3818	183	4	t	t	NOUN
ejpam-3818	183	5	e	e	PROPN
ejpam-3818	183	6	r	r	NOUN
ejpam-3818	183	7	m	m	VERB
ejpam-3818	183	8	i	i	PRON
ejpam-3818	183	9	n	n	ADV
ejpam-3818	183	10	a	a	DET
ejpam-3818	183	11	n	n	NOUN
ejpam-3818	183	12	t	t	NOUN
ejpam-3818	183	13	=	=	SYM
ejpam-3818	183	14	b	b	PROPN
ejpam-3818	183	15	(	(	PUNCT
ejpam-3818	183	16	i1	i1	PROPN
ejpam-3818	183	17	,	,	PUNCT
ejpam-3818	183	18	k	k	PROPN
ejpam-3818	183	19	)	)	PUNCT
ejpam-3818	184	1	*	*	PUNCT
ejpam-3818	184	2	b	b	X
ejpam-3818	184	3	(	(	PUNCT
ejpam-3818	184	4	i2	i2	PROPN
ejpam-3818	184	5	,	,	PUNCT
ejpam-3818	184	6	k2	k2	PROPN
ejpam-3818	184	7	)	)	PUNCT
ejpam-3818	185	1	−	−	PROPN
ejpam-3818	185	2	b	b	X
ejpam-3818	185	3	(	(	PUNCT
ejpam-3818	185	4	i2	i2	PROPN
ejpam-3818	185	5	,	,	PUNCT
ejpam-3818	185	6	k	k	PROPN
ejpam-3818	185	7	)	)	PUNCT
ejpam-3818	186	1	*	*	PUNCT
ejpam-3818	186	2	b	b	X
ejpam-3818	186	3	(	(	PUNCT
ejpam-3818	186	4	i1	i1	PROPN
ejpam-3818	186	5	,	,	PUNCT
ejpam-3818	186	6	k2	k2	PROPN
ejpam-3818	186	7	)	)	PUNCT
ejpam-3818	186	8	;	;	PUNCT
ejpam-3818	187	1	14	14	NUM
ejpam-3818	187	2	i	i	NOUN
ejpam-3818	187	3	f	f	PROPN
ejpam-3818	188	1	d	d	X
ejpam-3818	188	2	e	e	PROPN
ejpam-3818	188	3	t	t	PROPN
ejpam-3818	188	4	e	e	PROPN
ejpam-3818	188	5	r	r	NOUN
ejpam-3818	188	6	m	m	VERB
ejpam-3818	188	7	i	i	PRON
ejpam-3818	188	8	n	n	ADV
ejpam-3818	188	9	a	a	DET
ejpam-3818	188	10	n	n	NOUN
ejpam-3818	188	11	t	t	NOUN
ejpam-3818	188	12	˜=	˜=	NOUN
ejpam-3818	188	13	0	0	NUM
ejpam-3818	188	14	15	15	NUM
ejpam-3818	189	1	d	d	NOUN
ejpam-3818	190	1	i	i	PRON
ejpam-3818	190	2	s	s	VERB
ejpam-3818	190	3	p	p	X
ejpam-3818	190	4	(	(	PUNCT
ejpam-3818	190	5	'	'	PUNCT
ejpam-3818	190	6	i	i	PRON
ejpam-3818	190	7	n	n	NUM
ejpam-3818	190	8	p	p	NOUN
ejpam-3818	190	9	u	u	X
ejpam-3818	191	1	t	t	PROPN
ejpam-3818	191	2	m	m	VERB
ejpam-3818	191	3	a	a	DET
ejpam-3818	191	4	t	t	NOUN
ejpam-3818	191	5	r	r	NOUN
ejpam-3818	191	6	i	i	NOUN
ejpam-3818	191	7	x	x	X
ejpam-3818	191	8	c	c	NOUN
ejpam-3818	191	9	a	a	DET
ejpam-3818	191	10	n	n	NOUN
ejpam-3818	191	11	n	n	ADP
ejpam-3818	191	12	o	o	NOUN
ejpam-3818	191	13	t	t	NOUN
ejpam-3818	191	14	be	be	AUX
ejpam-3818	191	15	f	f	PROPN
ejpam-3818	191	16	a	a	DET
ejpam-3818	191	17	c	c	NOUN
ejpam-3818	191	18	t	t	NOUN
ejpam-3818	192	1	o	o	NOUN
ejpam-3818	193	1	r	r	NOUN
ejpam-3818	194	1	i	i	NOUN
ejpam-3818	194	2	z	z	NOUN
ejpam-3818	194	3	e	e	PROPN
ejpam-3818	194	4	d	d	NOUN
ejpam-3818	194	5	t	t	X
ejpam-3818	194	6	o	o	X
ejpam-3818	194	7	z−m	z−m	PROPN
ejpam-3818	194	8	a	a	DET
ejpam-3818	194	9	t	t	NOUN
ejpam-3818	194	10	r	r	NOUN
ejpam-3818	194	11	i	i	NOUN
ejpam-3818	194	12	x	x	X
ejpam-3818	194	13	'	'	PUNCT
ejpam-3818	194	14	)	)	PUNCT
ejpam-3818	194	15	16	16	NUM
ejpam-3818	194	16	tmp	tmp	NOUN
ejpam-3818	194	17	=	=	SYM
ejpam-3818	194	18	b	b	PROPN
ejpam-3818	194	19	(	(	PUNCT
ejpam-3818	194	20	i1	i1	PROPN
ejpam-3818	194	21	,	,	PUNCT
ejpam-3818	194	22	k	k	PROPN
ejpam-3818	194	23	:	:	PUNCT
ejpam-3818	194	24	k2	k2	PROPN
ejpam-3818	194	25	)	)	PUNCT
ejpam-3818	194	26	;	;	PUNCT
ejpam-3818	194	27	17	17	NUM
ejpam-3818	194	28	b	b	X
ejpam-3818	194	29	(	(	PUNCT
ejpam-3818	194	30	i1	i1	PROPN
ejpam-3818	194	31	,	,	PUNCT
ejpam-3818	194	32	k	k	PROPN
ejpam-3818	194	33	:	:	PUNCT
ejpam-3818	194	34	k2	k2	PROPN
ejpam-3818	194	35	)	)	PUNCT
ejpam-3818	195	1	=	=	SYM
ejpam-3818	195	2	b	b	X
ejpam-3818	195	3	(	(	PUNCT
ejpam-3818	195	4	k	k	X
ejpam-3818	195	5	,	,	PUNCT
ejpam-3818	195	6	k	k	PROPN
ejpam-3818	195	7	:	:	PUNCT
ejpam-3818	195	8	k2	k2	PROPN
ejpam-3818	195	9	)	)	PUNCT
ejpam-3818	195	10	;	;	PUNCT
ejpam-3818	195	11	18	18	NUM
ejpam-3818	195	12	b	b	X
ejpam-3818	195	13	(	(	PUNCT
ejpam-3818	195	14	k	k	X
ejpam-3818	195	15	,	,	PUNCT
ejpam-3818	195	16	k	k	PROPN
ejpam-3818	195	17	:	:	PUNCT
ejpam-3818	195	18	k2	k2	PROPN
ejpam-3818	195	19	)	)	PUNCT
ejpam-3818	196	1	=	=	VERB
ejpam-3818	196	2	tmp	tmp	NOUN
ejpam-3818	196	3	;	;	PUNCT
ejpam-3818	196	4	19	19	NUM
ejpam-3818	196	5	tmp	tmp	NOUN
ejpam-3818	196	6	=	=	SYM
ejpam-3818	196	7	b	b	PROPN
ejpam-3818	196	8	(	(	PUNCT
ejpam-3818	196	9	i2	i2	PROPN
ejpam-3818	196	10	,	,	PUNCT
ejpam-3818	196	11	k	k	PROPN
ejpam-3818	196	12	:	:	PUNCT
ejpam-3818	196	13	k2	k2	PROPN
ejpam-3818	196	14	)	)	PUNCT
ejpam-3818	196	15	;	;	PUNCT
ejpam-3818	196	16	20	20	NUM
ejpam-3818	196	17	b	b	X
ejpam-3818	196	18	(	(	PUNCT
ejpam-3818	196	19	i2	i2	PROPN
ejpam-3818	196	20	,	,	PUNCT
ejpam-3818	196	21	k	k	PROPN
ejpam-3818	196	22	:	:	PUNCT
ejpam-3818	196	23	k2	k2	PROPN
ejpam-3818	196	24	)	)	PUNCT
ejpam-3818	197	1	=	=	SYM
ejpam-3818	197	2	b	b	X
ejpam-3818	197	3	(	(	PUNCT
ejpam-3818	197	4	k2	k2	PROPN
ejpam-3818	197	5	,	,	PUNCT
ejpam-3818	197	6	k	k	PROPN
ejpam-3818	197	7	:	:	PUNCT
ejpam-3818	197	8	k2	k2	PROPN
ejpam-3818	197	9	)	)	PUNCT
ejpam-3818	197	10	;	;	PUNCT
ejpam-3818	197	11	21	21	NUM
ejpam-3818	197	12	b	b	X
ejpam-3818	197	13	(	(	PUNCT
ejpam-3818	197	14	k2	k2	PROPN
ejpam-3818	197	15	,	,	PUNCT
ejpam-3818	197	16	k	k	PROPN
ejpam-3818	197	17	:	:	PUNCT
ejpam-3818	197	18	k2	k2	PROPN
ejpam-3818	197	19	)	)	PUNCT
ejpam-3818	198	1	=	=	VERB
ejpam-3818	198	2	tmp	tmp	NOUN
ejpam-3818	198	3	;	;	PUNCT
ejpam-3818	198	4	22	22	NUM
ejpam-3818	198	5	e	e	NOUN
ejpam-3818	198	6	x	x	X
ejpam-3818	199	1	i	i	PRON
ejpam-3818	199	2	t	t	X
ejpam-3818	199	3	f	f	PROPN
ejpam-3818	199	4	l	l	NOUN
ejpam-3818	199	5	a	a	DET
ejpam-3818	199	6	g	g	NOUN
ejpam-3818	199	7	=	=	SYM
ejpam-3818	199	8	1	1	NUM
ejpam-3818	199	9	;	;	PUNCT
ejpam-3818	199	10	23	23	NUM
ejpam-3818	199	11	b	b	NOUN
ejpam-3818	199	12	r	r	NOUN
ejpam-3818	199	13	e	e	PROPN
ejpam-3818	199	14	a	a	DET
ejpam-3818	199	15	k	k	PROPN
ejpam-3818	199	16	24	24	NUM
ejpam-3818	199	17	end	end	NOUN
ejpam-3818	199	18	25	25	NUM
ejpam-3818	199	19	end	end	NOUN
ejpam-3818	199	20	26	26	NUM
ejpam-3818	199	21	end	end	NOUN
ejpam-3818	199	22	27	27	NUM
ejpam-3818	200	1	i	i	NOUN
ejpam-3818	200	2	f	f	NOUN
ejpam-3818	200	3	e	e	NOUN
ejpam-3818	200	4	x	x	X
ejpam-3818	201	1	i	i	PRON
ejpam-3818	201	2	t	t	X
ejpam-3818	201	3	f	f	PROPN
ejpam-3818	201	4	l	l	NOUN
ejpam-3818	201	5	a	a	DET
ejpam-3818	201	6	g	g	NOUN
ejpam-3818	201	7	=	=	NOUN
ejpam-3818	201	8	=	=	SYM
ejpam-3818	201	9	0	0	NUM
ejpam-3818	201	10	28	28	NUM
ejpam-3818	201	11	z	z	NOUN
ejpam-3818	201	12	=	=	SYM
ejpam-3818	201	13	b	b	PROPN
ejpam-3818	201	14	;	;	PUNCT
ejpam-3818	201	15	29	29	NUM
ejpam-3818	201	16	r	r	NOUN
ejpam-3818	201	17	e	e	NOUN
ejpam-3818	201	18	t	t	NOUN
ejpam-3818	201	19	u	u	NOUN
ejpam-3818	201	20	r	r	NOUN
ejpam-3818	201	21	n	n	NUM
ejpam-3818	201	22	30	30	NUM
ejpam-3818	201	23	end	end	NOUN
ejpam-3818	201	24	31	31	NUM
ejpam-3818	201	25	end	end	NOUN
ejpam-3818	201	26	32	32	NUM
ejpam-3818	201	27	%	%	NOUN
ejpam-3818	201	28	f	f	NOUN
ejpam-3818	202	1	i	i	PRON
ejpam-3818	202	2	n	n	VERB
ejpam-3818	203	1	d	d	NOUN
ejpam-3818	203	2	i	i	PRON
ejpam-3818	203	3	n	n	CCONJ
ejpam-3818	203	4	g	g	NOUN
ejpam-3818	203	5	e	e	X
ejpam-3818	203	6	l	l	NOUN
ejpam-3818	203	7	e	e	X
ejpam-3818	203	8	m	m	PROPN
ejpam-3818	203	9	e	e	NOUN
ejpam-3818	203	10	n	n	NOUN
ejpam-3818	203	11	t	t	PROPN
ejpam-3818	203	12	s	s	PART
ejpam-3818	203	13	o	o	X
ejpam-3818	203	14	f	f	PROPN
ejpam-3818	203	15	w	w	PROPN
ejpam-3818	203	16	33	33	NUM
ejpam-3818	203	17	%	%	NOUN
ejpam-3818	203	18	to	to	PART
ejpam-3818	203	19	compute	compute	VERB
ejpam-3818	203	20	i	i	PRON
ejpam-3818	204	1	t	t	NOUN
ejpam-3818	205	1	h	h	NOUN
ejpam-3818	206	1	t	t	NOUN
ejpam-3818	206	2	o	o	X
ejpam-3818	206	3	t	t	NOUN
ejpam-3818	206	4	h	h	NOUN
ejpam-3818	206	5	e	e	X
ejpam-3818	206	6	(	(	PUNCT
ejpam-3818	206	7	n−1	n−1	PROPN
ejpam-3818	206	8	)	)	PUNCT
ejpam-3818	206	9	t	t	NOUN
ejpam-3818	207	1	h	h	NOUN
ejpam-3818	207	2	e	e	NOUN
ejpam-3818	207	3	l	l	NOUN
ejpam-3818	207	4	e	e	X
ejpam-3818	207	5	m	m	PROPN
ejpam-3818	207	6	e	e	NOUN
ejpam-3818	207	7	n	n	ADP
ejpam-3818	207	8	t	t	X
ejpam-3818	207	9	o	o	X
ejpam-3818	207	10	f	f	X
ejpam-3818	207	11	(	(	PUNCT
ejpam-3818	207	12	i	i	NOUN
ejpam-3818	207	13	−1	−1	NOUN
ejpam-3818	207	14	)	)	PUNCT
ejpam-3818	207	15	t	t	NOUN
ejpam-3818	207	16	h	h	NOUN
ejpam-3818	207	17	column	column	NOUN
ejpam-3818	207	18	of	of	ADP
ejpam-3818	207	19	w	w	PROPN
ejpam-3818	207	20	34	34	NUM
ejpam-3818	207	21	w	w	PROPN
ejpam-3818	207	22	(	(	PUNCT
ejpam-3818	207	23	k	k	PROPN
ejpam-3818	207	24	+1	+1	PROPN
ejpam-3818	207	25	:	:	PUNCT
ejpam-3818	207	26	k2−1,k	k2−1,k	PROPN
ejpam-3818	207	27	)	)	PUNCT
ejpam-3818	208	1	=	=	X
ejpam-3818	208	2	−(−b	−(−b	ADJ
ejpam-3818	208	3	(	(	PUNCT
ejpam-3818	208	4	k2	k2	PROPN
ejpam-3818	208	5	,	,	PUNCT
ejpam-3818	208	6	k	k	PROPN
ejpam-3818	208	7	)	)	PUNCT
ejpam-3818	209	1	*	*	PUNCT
ejpam-3818	209	2	b	b	X
ejpam-3818	209	3	(	(	PUNCT
ejpam-3818	209	4	k	k	X
ejpam-3818	209	5	+1	+1	PROPN
ejpam-3818	209	6	:	:	PUNCT
ejpam-3818	209	7	k2−1,k2	k2−1,k2	PROPN
ejpam-3818	209	8	)	)	PUNCT
ejpam-3818	210	1	+	+	PUNCT
ejpam-3818	210	2	b	b	PROPN
ejpam-3818	210	3	(	(	PUNCT
ejpam-3818	210	4	k2	k2	ADJ
ejpam-3818	210	5	,	,	PUNCT
ejpam-3818	210	6	k2	k2	PROPN
ejpam-3818	210	7	)	)	PUNCT
ejpam-3818	211	1	*	*	PUNCT
ejpam-3818	211	2	b	b	X
ejpam-3818	211	3	(	(	PUNCT
ejpam-3818	211	4	k	k	PROPN
ejpam-3818	211	5	+1	+1	PROPN
ejpam-3818	211	6	:	:	PUNCT
ejpam-3818	211	7	k2−1,k	k2−1,k	PROPN
ejpam-3818	211	8	)	)	PUNCT
ejpam-3818	211	9	)	)	PUNCT
ejpam-3818	211	10	/	/	PUNCT
ejpam-3818	212	1	d	d	X
ejpam-3818	212	2	e	e	NOUN
ejpam-3818	212	3	t	t	NOUN
ejpam-3818	212	4	e	e	PROPN
ejpam-3818	212	5	r	r	NOUN
ejpam-3818	212	6	m	m	VERB
ejpam-3818	212	7	i	i	PRON
ejpam-3818	212	8	n	n	ADV
ejpam-3818	212	9	a	a	DET
ejpam-3818	212	10	n	n	NOUN
ejpam-3818	212	11	t	t	NOUN
ejpam-3818	212	12	;	;	PUNCT
ejpam-3818	212	13	35	35	NUM
ejpam-3818	212	14	%	%	NOUN
ejpam-3818	212	15	to	to	PART
ejpam-3818	212	16	compute	compute	VERB
ejpam-3818	212	17	i	i	PRON
ejpam-3818	212	18	t	t	NOUN
ejpam-3818	212	19	h	h	NOUN
ejpam-3818	213	1	t	t	NOUN
ejpam-3818	213	2	o	o	X
ejpam-3818	213	3	t	t	NOUN
ejpam-3818	213	4	h	h	NOUN
ejpam-3818	213	5	e	e	X
ejpam-3818	213	6	(	(	PUNCT
ejpam-3818	213	7	n−1	n−1	PROPN
ejpam-3818	213	8	)	)	PUNCT
ejpam-3818	213	9	t	t	NOUN
ejpam-3818	214	1	h	h	NOUN
ejpam-3818	214	2	e	e	NOUN
ejpam-3818	214	3	l	l	NOUN
ejpam-3818	214	4	e	e	X
ejpam-3818	214	5	m	m	PROPN
ejpam-3818	214	6	e	e	NOUN
ejpam-3818	214	7	n	n	ADP
ejpam-3818	214	8	t	t	X
ejpam-3818	214	9	o	o	X
ejpam-3818	214	10	f	f	X
ejpam-3818	214	11	(	(	PUNCT
ejpam-3818	214	12	n−i	n−i	PROPN
ejpam-3818	214	13	+1	+1	PROPN
ejpam-3818	214	14	)	)	PUNCT
ejpam-3818	214	15	t	t	PROPN
ejpam-3818	214	16	h	h	NOUN
ejpam-3818	214	17	column	column	NOUN
ejpam-3818	214	18	of	of	ADP
ejpam-3818	214	19	w	w	PROPN
ejpam-3818	214	20	36	36	NUM
ejpam-3818	214	21	w	w	NOUN
ejpam-3818	214	22	(	(	PUNCT
ejpam-3818	214	23	k	k	PROPN
ejpam-3818	214	24	+1	+1	PROPN
ejpam-3818	214	25	:	:	PUNCT
ejpam-3818	214	26	k2−1,k2	k2−1,k2	VERB
ejpam-3818	214	27	)	)	PUNCT
ejpam-3818	215	1	=	=	SYM
ejpam-3818	215	2	−(−b	−(−b	ADJ
ejpam-3818	215	3	(	(	PUNCT
ejpam-3818	215	4	k	k	PROPN
ejpam-3818	215	5	,	,	PUNCT
ejpam-3818	215	6	k2	k2	PROPN
ejpam-3818	215	7	)	)	PUNCT
ejpam-3818	215	8	*	*	PUNCT
ejpam-3818	215	9	b	b	X
ejpam-3818	215	10	(	(	PUNCT
ejpam-3818	215	11	k	k	PROPN
ejpam-3818	215	12	+1	+1	PROPN
ejpam-3818	215	13	:	:	PUNCT
ejpam-3818	215	14	k2−1,k	k2−1,k	PROPN
ejpam-3818	215	15	)	)	PUNCT
ejpam-3818	216	1	+	+	NOUN
ejpam-3818	216	2	b	b	X
ejpam-3818	216	3	(	(	PUNCT
ejpam-3818	216	4	k	k	X
ejpam-3818	216	5	,	,	PUNCT
ejpam-3818	216	6	k	k	PROPN
ejpam-3818	216	7	)	)	PUNCT
ejpam-3818	216	8	*	*	PUNCT
ejpam-3818	216	9	b	b	X
ejpam-3818	216	10	(	(	PUNCT
ejpam-3818	216	11	k	k	X
ejpam-3818	216	12	+1	+1	PROPN
ejpam-3818	216	13	:	:	PUNCT
ejpam-3818	216	14	k2−1,k2	k2−1,k2	PROPN
ejpam-3818	216	15	)	)	PUNCT
ejpam-3818	216	16	)	)	PUNCT
ejpam-3818	216	17	/	/	PUNCT
ejpam-3818	217	1	d	d	X
ejpam-3818	217	2	e	e	NOUN
ejpam-3818	217	3	t	t	NOUN
ejpam-3818	217	4	e	e	PROPN
ejpam-3818	217	5	r	r	NOUN
ejpam-3818	217	6	m	m	VERB
ejpam-3818	217	7	i	i	PRON
ejpam-3818	217	8	n	n	ADV
ejpam-3818	217	9	a	a	DET
ejpam-3818	217	10	n	n	NOUN
ejpam-3818	217	11	t	t	NOUN
ejpam-3818	217	12	;	;	PUNCT
ejpam-3818	217	13	37	37	NUM
ejpam-3818	217	14	f	f	NOUN
ejpam-3818	217	15	o	o	X
ejpam-3818	217	16	r	r	NOUN
ejpam-3818	217	17	m=1	m=1	PROPN
ejpam-3818	217	18	:	:	PUNCT
ejpam-3818	217	19	n	n	PROPN
ejpam-3818	217	20	38	38	NUM
ejpam-3818	217	21	w(m	w(m	NOUN
ejpam-3818	217	22	,	,	PUNCT
ejpam-3818	217	23	m	m	NOUN
ejpam-3818	217	24	)	)	PUNCT
ejpam-3818	217	25	=	=	NOUN
ejpam-3818	217	26	1	1	NUM
ejpam-3818	217	27	;	;	PUNCT
ejpam-3818	217	28	39	39	NUM
ejpam-3818	217	29	w(m	w(m	PROPN
ejpam-3818	217	30	,	,	PUNCT
ejpam-3818	217	31	n+1−m	n+1−m	PROPN
ejpam-3818	217	32	)	)	PUNCT
ejpam-3818	217	33	;	;	PUNCT
ejpam-3818	217	34	40	40	NUM
ejpam-3818	217	35	end	end	NOUN
ejpam-3818	217	36	41	41	NUM
ejpam-3818	217	37	%	%	NOUN
ejpam-3818	218	1	u	u	NOUN
ejpam-3818	218	2	p	p	PROPN
ejpam-3818	219	1	d	d	PROPN
ejpam-3818	219	2	a	a	NOUN
ejpam-3818	219	3	t	t	NOUN
ejpam-3818	220	1	i	i	PRON
ejpam-3818	220	2	n	n	ADV
ejpam-3818	220	3	g	g	PROPN
ejpam-3818	220	4	b	b	PROPN
ejpam-3818	220	5	42	42	NUM
ejpam-3818	220	6	b	b	NOUN
ejpam-3818	220	7	(	(	PUNCT
ejpam-3818	220	8	k	k	PROPN
ejpam-3818	220	9	+1	+1	PROPN
ejpam-3818	220	10	:	:	PUNCT
ejpam-3818	220	11	k2−1,k	k2−1,k	PROPN
ejpam-3818	220	12	)	)	PUNCT
ejpam-3818	221	1	=	=	PUNCT
ejpam-3818	221	2	0	0	NUM
ejpam-3818	221	3	;	;	PUNCT
ejpam-3818	221	4	43	43	NUM
ejpam-3818	221	5	b	b	X
ejpam-3818	221	6	(	(	PUNCT
ejpam-3818	221	7	k	k	PROPN
ejpam-3818	221	8	+1	+1	PROPN
ejpam-3818	221	9	:	:	PUNCT
ejpam-3818	221	10	k2−1,k2	k2−1,k2	PROPN
ejpam-3818	221	11	)	)	PUNCT
ejpam-3818	222	1	=	=	SYM
ejpam-3818	222	2	0	0	NUM
ejpam-3818	222	3	;	;	PUNCT
ejpam-3818	222	4	44	44	NUM
ejpam-3818	222	5	b	b	X
ejpam-3818	222	6	(	(	PUNCT
ejpam-3818	222	7	k	k	PROPN
ejpam-3818	222	8	+1	+1	PROPN
ejpam-3818	222	9	:	:	PUNCT
ejpam-3818	222	10	k2−1,k	k2−1,k	PROPN
ejpam-3818	222	11	+1	+1	PROPN
ejpam-3818	222	12	:	:	PUNCT
ejpam-3818	222	13	k2−1	k2−1	X
ejpam-3818	222	14	)	)	PUNCT
ejpam-3818	222	15	=	=	SYM
ejpam-3818	223	1	b	b	X
ejpam-3818	223	2	(	(	PUNCT
ejpam-3818	223	3	k	k	PROPN
ejpam-3818	223	4	+1	+1	PROPN
ejpam-3818	223	5	:	:	PUNCT
ejpam-3818	223	6	k2−1,k	k2−1,k	PROPN
ejpam-3818	223	7	+1	+1	PROPN
ejpam-3818	223	8	:	:	PUNCT
ejpam-3818	223	9	k2−1	k2−1	PROPN
ejpam-3818	223	10	)	)	PUNCT
ejpam-3818	224	1	+	+	CCONJ
ejpam-3818	224	2	w	w	X
ejpam-3818	224	3	(	(	PUNCT
ejpam-3818	224	4	k	k	PROPN
ejpam-3818	224	5	+1	+1	PROPN
ejpam-3818	224	6	:	:	PUNCT
ejpam-3818	224	7	k2−1,k	k2−1,k	PROPN
ejpam-3818	224	8	)	)	PUNCT
ejpam-3818	225	1	*	*	PUNCT
ejpam-3818	225	2	b	b	X
ejpam-3818	225	3	(	(	PUNCT
ejpam-3818	225	4	k	k	X
ejpam-3818	225	5	,	,	PUNCT
ejpam-3818	225	6	k	k	PROPN
ejpam-3818	225	7	+1	+1	PROPN
ejpam-3818	225	8	:	:	PUNCT
ejpam-3818	225	9	k2−1	k2−1	PROPN
ejpam-3818	225	10	)	)	PUNCT
ejpam-3818	225	11	45	45	NUM
ejpam-3818	226	1	+	+	NUM
ejpam-3818	226	2	w	w	X
ejpam-3818	226	3	(	(	PUNCT
ejpam-3818	226	4	k	k	PROPN
ejpam-3818	226	5	+1	+1	PROPN
ejpam-3818	226	6	:	:	PUNCT
ejpam-3818	226	7	k2−1,k2	k2−1,k2	PROPN
ejpam-3818	226	8	)	)	PUNCT
ejpam-3818	227	1	*	*	PUNCT
ejpam-3818	227	2	b	b	X
ejpam-3818	227	3	(	(	PUNCT
ejpam-3818	227	4	k2	k2	PROPN
ejpam-3818	227	5	,	,	PUNCT
ejpam-3818	227	6	k	k	PROPN
ejpam-3818	227	7	+1	+1	PROPN
ejpam-3818	227	8	:	:	PUNCT
ejpam-3818	227	9	k2−1	k2−1	PROPN
ejpam-3818	227	10	)	)	PUNCT
ejpam-3818	227	11	;	;	PUNCT
ejpam-3818	227	12	46	46	NUM
ejpam-3818	227	13	z	z	NOUN
ejpam-3818	227	14	=	=	SYM
ejpam-3818	227	15	b	b	PROPN
ejpam-3818	227	16	;	;	PUNCT
ejpam-3818	227	17	47	47	NUM
ejpam-3818	227	18	end	end	NOUN
ejpam-3818	227	19	besides	besides	ADV
ejpam-3818	227	20	,	,	PUNCT
ejpam-3818	227	21	if	if	SCONJ
ejpam-3818	227	22	there	there	PRON
ejpam-3818	227	23	is	be	VERB
ejpam-3818	227	24	no	no	DET
ejpam-3818	227	25	regrouping	regrouping	NOUN
ejpam-3818	227	26	or	or	CCONJ
ejpam-3818	227	27	ordering	ordering	NOUN
ejpam-3818	227	28	of	of	ADP
ejpam-3818	227	29	scalar	scalar	ADJ
ejpam-3818	227	30	operations	operation	NOUN
ejpam-3818	227	31	into	into	ADP
ejpam-3818	227	32	matrix	matrix	NOUN
ejpam-3818	227	33	-	-	PUNCT
ejpam-3818	227	34	vector	vector	NOUN
ejpam-3818	227	35	operation	operation	NOUN
ejpam-3818	227	36	then	then	ADV
ejpam-3818	227	37	the	the	DET
ejpam-3818	227	38	factorization	factorization	NOUN
ejpam-3818	227	39	is	be	AUX
ejpam-3818	227	40	a	a	DET
ejpam-3818	227	41	sequential	sequential	ADJ
ejpam-3818	227	42	wz	wz	ADP
ejpam-3818	227	43	factorization	factorization	NOUN
ejpam-3818	227	44	.	.	PUNCT
ejpam-3818	228	1	for	for	ADP
ejpam-3818	228	2	the	the	DET
ejpam-3818	228	3	matlab	matlab	PROPN
ejpam-3818	228	4	code	code	PROPN
ejpam-3818	228	5	of	of	ADP
ejpam-3818	228	6	wz	wz	ADP
ejpam-3818	228	7	factorization	factorization	NOUN
ejpam-3818	228	8	,	,	PUNCT
ejpam-3818	228	9	we	we	PRON
ejpam-3818	228	10	replace	replace	VERB
ejpam-3818	228	11	line	line	NOUN
ejpam-3818	228	12	32	32	NUM
ejpam-3818	228	13	to	to	PART
ejpam-3818	228	14	line	line	VERB
ejpam-3818	228	15	44	44	NUM
ejpam-3818	228	16	in	in	ADP
ejpam-3818	228	17	listing	list	VERB
ejpam-3818	228	18	2	2	NUM
ejpam-3818	228	19	with	with	ADP
ejpam-3818	228	20	line	line	NOUN
ejpam-3818	228	21	1	1	NUM
ejpam-3818	228	22	to	to	PART
ejpam-3818	228	23	line	line	NOUN
ejpam-3818	228	24	9	9	NUM
ejpam-3818	228	25	of	of	ADP
ejpam-3818	228	26	listing	list	VERB
ejpam-3818	228	27	3	3	NUM
ejpam-3818	228	28	.	.	PUNCT
ejpam-3818	228	29	listing	list	VERB
ejpam-3818	228	30	3	3	NUM
ejpam-3818	228	31	:	:	PUNCT
ejpam-3818	228	32	matlab	matlab	PROPN
ejpam-3818	228	33	code	code	PROPN
ejpam-3818	228	34	of	of	ADP
ejpam-3818	228	35	sequential	sequential	ADJ
ejpam-3818	228	36	wz	wz	ADP
ejpam-3818	228	37	factorization	factorization	NOUN
ejpam-3818	228	38	.	.	PUNCT
ejpam-3818	229	1	1	1	NUM
ejpam-3818	229	2	%	%	NOUN
ejpam-3818	229	3	f	f	NOUN
ejpam-3818	229	4	i	i	PRON
ejpam-3818	229	5	n	n	VERB
ejpam-3818	229	6	d	d	NOUN
ejpam-3818	229	7	i	i	PRON
ejpam-3818	229	8	n	n	CCONJ
ejpam-3818	229	9	g	g	NOUN
ejpam-3818	229	10	e	e	X
ejpam-3818	229	11	l	l	NOUN
ejpam-3818	229	12	e	e	X
ejpam-3818	229	13	m	m	PROPN
ejpam-3818	229	14	e	e	NOUN
ejpam-3818	229	15	n	n	NOUN
ejpam-3818	229	16	t	t	PROPN
ejpam-3818	229	17	s	s	PART
ejpam-3818	229	18	o	o	X
ejpam-3818	229	19	f	f	X
ejpam-3818	229	20	w	w	PROPN
ejpam-3818	229	21	2	2	NUM
ejpam-3818	229	22	%	%	NOUN
ejpam-3818	229	23	to	to	PART
ejpam-3818	229	24	compute	compute	VERB
ejpam-3818	229	25	i	i	PRON
ejpam-3818	230	1	t	t	NOUN
ejpam-3818	231	1	h	h	NOUN
ejpam-3818	232	1	t	t	NOUN
ejpam-3818	232	2	o	o	X
ejpam-3818	232	3	t	t	NOUN
ejpam-3818	232	4	h	h	NOUN
ejpam-3818	232	5	e	e	X
ejpam-3818	232	6	(	(	PUNCT
ejpam-3818	232	7	n−1	n−1	PROPN
ejpam-3818	232	8	)	)	PUNCT
ejpam-3818	232	9	t	t	NOUN
ejpam-3818	233	1	h	h	NOUN
ejpam-3818	233	2	e	e	NOUN
ejpam-3818	233	3	l	l	NOUN
ejpam-3818	233	4	e	e	X
ejpam-3818	233	5	m	m	PROPN
ejpam-3818	233	6	e	e	NOUN
ejpam-3818	233	7	n	n	ADP
ejpam-3818	233	8	t	t	X
ejpam-3818	233	9	o	o	X
ejpam-3818	233	10	f	f	X
ejpam-3818	233	11	(	(	PUNCT
ejpam-3818	233	12	i	i	NOUN
ejpam-3818	233	13	−1	−1	NOUN
ejpam-3818	233	14	)	)	PUNCT
ejpam-3818	233	15	t	t	NOUN
ejpam-3818	233	16	h	h	NOUN
ejpam-3818	233	17	column	column	NOUN
ejpam-3818	233	18	of	of	ADP
ejpam-3818	233	19	w	w	PROPN
ejpam-3818	233	20	3	3	NUM
ejpam-3818	233	21	f	f	NOUN
ejpam-3818	233	22	o	o	NOUN
ejpam-3818	234	1	r	r	NOUN
ejpam-3818	234	2	i	i	NOUN
ejpam-3818	234	3	=	=	PROPN
ejpam-3818	234	4	k	k	PROPN
ejpam-3818	234	5	+1	+1	PROPN
ejpam-3818	234	6	:	:	PUNCT
ejpam-3818	234	7	k2−1	k2−1	PROPN
ejpam-3818	234	8	4	4	NUM
ejpam-3818	234	9	w	w	PROPN
ejpam-3818	234	10	(	(	PUNCT
ejpam-3818	234	11	i	i	PRON
ejpam-3818	234	12	,	,	PUNCT
ejpam-3818	234	13	k	k	PROPN
ejpam-3818	234	14	)	)	PUNCT
ejpam-3818	234	15	=	=	PUNCT
ejpam-3818	235	1	(	(	PUNCT
ejpam-3818	235	2	b	b	X
ejpam-3818	235	3	(	(	PUNCT
ejpam-3818	235	4	k2	k2	ADJ
ejpam-3818	235	5	,	,	PUNCT
ejpam-3818	235	6	k2	k2	PROPN
ejpam-3818	235	7	)	)	PUNCT
ejpam-3818	236	1	*	*	PUNCT
ejpam-3818	236	2	b	b	X
ejpam-3818	236	3	(	(	PUNCT
ejpam-3818	236	4	i	i	PRON
ejpam-3818	236	5	,	,	PUNCT
ejpam-3818	236	6	k	k	PROPN
ejpam-3818	236	7	)	)	PUNCT
ejpam-3818	236	8	−b	−b	PROPN
ejpam-3818	236	9	(	(	PUNCT
ejpam-3818	236	10	k2	k2	PROPN
ejpam-3818	236	11	,	,	PUNCT
ejpam-3818	236	12	k	k	PROPN
ejpam-3818	236	13	)	)	PUNCT
ejpam-3818	237	1	*	*	PUNCT
ejpam-3818	237	2	b	b	X
ejpam-3818	237	3	(	(	PUNCT
ejpam-3818	237	4	i	i	PROPN
ejpam-3818	237	5	,	,	PUNCT
ejpam-3818	237	6	k2	k2	PROPN
ejpam-3818	237	7	)	)	PUNCT
ejpam-3818	237	8	)	)	PUNCT
ejpam-3818	237	9	/	/	PUNCT
ejpam-3818	238	1	d	d	X
ejpam-3818	238	2	e	e	NOUN
ejpam-3818	238	3	t	t	NOUN
ejpam-3818	238	4	e	e	PROPN
ejpam-3818	238	5	r	r	NOUN
ejpam-3818	238	6	m	m	VERB
ejpam-3818	238	7	i	i	PRON
ejpam-3818	238	8	n	n	ADV
ejpam-3818	238	9	a	a	DET
ejpam-3818	238	10	n	n	NOUN
ejpam-3818	238	11	t	t	NOUN
ejpam-3818	238	12	;	;	PUNCT
ejpam-3818	238	13	5	5	NUM
ejpam-3818	238	14	%	%	NOUN
ejpam-3818	238	15	to	to	PART
ejpam-3818	238	16	compute	compute	VERB
ejpam-3818	238	17	i	i	PRON
ejpam-3818	238	18	t	t	NOUN
ejpam-3818	239	1	h	h	NOUN
ejpam-3818	240	1	t	t	NOUN
ejpam-3818	240	2	o	o	X
ejpam-3818	240	3	t	t	NOUN
ejpam-3818	240	4	h	h	NOUN
ejpam-3818	240	5	e	e	X
ejpam-3818	240	6	(	(	PUNCT
ejpam-3818	240	7	n−1	n−1	PROPN
ejpam-3818	240	8	)	)	PUNCT
ejpam-3818	240	9	t	t	NOUN
ejpam-3818	241	1	h	h	NOUN
ejpam-3818	241	2	e	e	NOUN
ejpam-3818	241	3	l	l	NOUN
ejpam-3818	241	4	e	e	X
ejpam-3818	241	5	m	m	PROPN
ejpam-3818	241	6	e	e	NOUN
ejpam-3818	241	7	n	n	ADP
ejpam-3818	241	8	t	t	X
ejpam-3818	241	9	o	o	X
ejpam-3818	241	10	f	f	X
ejpam-3818	241	11	(	(	PUNCT
ejpam-3818	241	12	n−i	n−i	PROPN
ejpam-3818	241	13	+1	+1	PROPN
ejpam-3818	241	14	)	)	PUNCT
ejpam-3818	241	15	t	t	PROPN
ejpam-3818	241	16	h	h	NOUN
ejpam-3818	241	17	column	column	NOUN
ejpam-3818	241	18	of	of	ADP
ejpam-3818	241	19	w	w	PROPN
ejpam-3818	241	20	6	6	NUM
ejpam-3818	241	21	w	w	NOUN
ejpam-3818	241	22	(	(	PUNCT
ejpam-3818	241	23	i	i	PROPN
ejpam-3818	241	24	,	,	PUNCT
ejpam-3818	241	25	k2	k2	ADJ
ejpam-3818	241	26	)	)	PUNCT
ejpam-3818	241	27	=(	=(	PROPN
ejpam-3818	242	1	b	b	PROPN
ejpam-3818	242	2	(	(	PUNCT
ejpam-3818	242	3	k	k	X
ejpam-3818	242	4	,	,	PUNCT
ejpam-3818	242	5	k	k	PROPN
ejpam-3818	242	6	)	)	PUNCT
ejpam-3818	243	1	*	*	PUNCT
ejpam-3818	243	2	b	b	X
ejpam-3818	243	3	(	(	PUNCT
ejpam-3818	243	4	i	i	PROPN
ejpam-3818	243	5	,	,	PUNCT
ejpam-3818	243	6	k2	k2	ADJ
ejpam-3818	243	7	)	)	PUNCT
ejpam-3818	243	8	−b	−b	PROPN
ejpam-3818	243	9	(	(	PUNCT
ejpam-3818	243	10	k	k	PROPN
ejpam-3818	243	11	,	,	PUNCT
ejpam-3818	243	12	k2	k2	PROPN
ejpam-3818	243	13	)	)	PUNCT
ejpam-3818	243	14	*	*	PUNCT
ejpam-3818	244	1	b	b	X
ejpam-3818	244	2	(	(	PUNCT
ejpam-3818	244	3	i	i	PRON
ejpam-3818	244	4	,	,	PUNCT
ejpam-3818	244	5	k	k	PROPN
ejpam-3818	244	6	)	)	PUNCT
ejpam-3818	244	7	)	)	PUNCT
ejpam-3818	244	8	/	/	PUNCT
ejpam-3818	245	1	d	d	X
ejpam-3818	245	2	e	e	NOUN
ejpam-3818	245	3	t	t	NOUN
ejpam-3818	245	4	e	e	PROPN
ejpam-3818	245	5	r	r	NOUN
ejpam-3818	245	6	m	m	VERB
ejpam-3818	245	7	i	i	PRON
ejpam-3818	245	8	n	n	ADV
ejpam-3818	245	9	a	a	DET
ejpam-3818	245	10	n	n	NOUN
ejpam-3818	245	11	t	t	NOUN
ejpam-3818	245	12	;	;	PUNCT
ejpam-3818	245	13	7	7	NUM
ejpam-3818	245	14	%	%	NOUN
ejpam-3818	245	15	u	u	NOUN
ejpam-3818	245	16	p	p	PROPN
ejpam-3818	245	17	d	d	PROPN
ejpam-3818	245	18	a	a	NOUN
ejpam-3818	245	19	t	t	NOUN
ejpam-3818	245	20	i	i	PRON
ejpam-3818	245	21	n	n	CCONJ
ejpam-3818	245	22	g	g	PROPN
ejpam-3818	245	23	b	b	PROPN
ejpam-3818	245	24	o.	o.	PROPN
ejpam-3818	245	25	babarinsa	babarinsa	PROPN
ejpam-3818	245	26	et	et	PROPN
ejpam-3818	245	27	al	al	PROPN
ejpam-3818	245	28	.	.	PUNCT
ejpam-3818	245	29	/	/	SYM
ejpam-3818	245	30	eur	eur	PROPN
ejpam-3818	245	31	.	.	PUNCT
ejpam-3818	246	1	j.	j.	PROPN
ejpam-3818	246	2	pure	pure	PROPN
ejpam-3818	246	3	appl	appl	PROPN
ejpam-3818	246	4	.	.	PROPN
ejpam-3818	246	5	math	math	PROPN
ejpam-3818	246	6	,	,	PUNCT
ejpam-3818	246	7	13	13	NUM
ejpam-3818	246	8	(	(	PUNCT
ejpam-3818	246	9	4	4	NUM
ejpam-3818	246	10	)	)	PUNCT
ejpam-3818	246	11	(	(	PUNCT
ejpam-3818	246	12	2020	2020	NUM
ejpam-3818	246	13	)	)	PUNCT
ejpam-3818	246	14	,	,	PUNCT
ejpam-3818	246	15	1035	1035	NUM
ejpam-3818	246	16	-	-	SYM
ejpam-3818	246	17	1054	1054	NUM
ejpam-3818	246	18	1044	1044	NUM
ejpam-3818	246	19	8	8	NUM
ejpam-3818	247	1	f	f	NOUN
ejpam-3818	247	2	o	o	NOUN
ejpam-3818	247	3	r	r	NOUN
ejpam-3818	247	4	j	j	PROPN
ejpam-3818	247	5	=	=	SYM
ejpam-3818	247	6	k	k	PROPN
ejpam-3818	247	7	+1	+1	PROPN
ejpam-3818	247	8	:	:	PUNCT
ejpam-3818	247	9	k2−1	k2−1	PROPN
ejpam-3818	247	10	9	9	NUM
ejpam-3818	247	11	b	b	X
ejpam-3818	247	12	(	(	PUNCT
ejpam-3818	247	13	i	i	NOUN
ejpam-3818	247	14	,	,	PUNCT
ejpam-3818	247	15	j	j	PROPN
ejpam-3818	247	16	)	)	PUNCT
ejpam-3818	248	1	=	=	SYM
ejpam-3818	248	2	b	b	X
ejpam-3818	248	3	(	(	PUNCT
ejpam-3818	248	4	i	i	NOUN
ejpam-3818	248	5	,	,	PUNCT
ejpam-3818	248	6	j	j	PROPN
ejpam-3818	248	7	)	)	PUNCT
ejpam-3818	249	1	+	+	CCONJ
ejpam-3818	249	2	w	w	X
ejpam-3818	249	3	(	(	PUNCT
ejpam-3818	249	4	i	i	PRON
ejpam-3818	249	5	,	,	PUNCT
ejpam-3818	249	6	k	k	PROPN
ejpam-3818	249	7	)	)	PUNCT
ejpam-3818	250	1	*	*	PUNCT
ejpam-3818	250	2	b	b	X
ejpam-3818	250	3	(	(	PUNCT
ejpam-3818	250	4	k	k	X
ejpam-3818	250	5	,	,	PUNCT
ejpam-3818	250	6	j	j	PROPN
ejpam-3818	250	7	)	)	PUNCT
ejpam-3818	251	1	+	+	CCONJ
ejpam-3818	251	2	w	w	X
ejpam-3818	251	3	(	(	PUNCT
ejpam-3818	251	4	i	i	PROPN
ejpam-3818	251	5	,	,	PUNCT
ejpam-3818	251	6	k2	k2	PROPN
ejpam-3818	251	7	)	)	PUNCT
ejpam-3818	251	8	*	*	PUNCT
ejpam-3818	251	9	b	b	X
ejpam-3818	251	10	(	(	PUNCT
ejpam-3818	251	11	k2	k2	PROPN
ejpam-3818	251	12	,	,	PUNCT
ejpam-3818	251	13	j	j	PROPN
ejpam-3818	251	14	)	)	PUNCT
ejpam-3818	251	15	;	;	PUNCT
ejpam-3818	251	16	for	for	ADP
ejpam-3818	251	17	the	the	DET
ejpam-3818	251	18	computation	computation	NOUN
ejpam-3818	251	19	and	and	CCONJ
ejpam-3818	251	20	analysis	analysis	NOUN
ejpam-3818	251	21	,	,	PUNCT
ejpam-3818	251	22	the	the	DET
ejpam-3818	251	23	square	square	ADJ
ejpam-3818	251	24	sparse	sparse	ADJ
ejpam-3818	251	25	matrices	matrix	NOUN
ejpam-3818	251	26	used	use	VERB
ejpam-3818	251	27	to	to	PART
ejpam-3818	251	28	investigate	investigate	VERB
ejpam-3818	251	29	lu	lu	PROPN
ejpam-3818	251	30	,	,	PUNCT
ejpam-3818	251	31	wz	wz	PROPN
ejpam-3818	251	32	,	,	PUNCT
ejpam-3818	251	33	vwz	vwz	PROPN
ejpam-3818	251	34	and	and	CCONJ
ejpam-3818	251	35	w	w	PROPN
ejpam-3818	251	36	ozo	ozo	PROPN
ejpam-3818	251	37	factorization	factorization	NOUN
ejpam-3818	251	38	,	,	PUNCT
ejpam-3818	251	39	in	in	ADP
ejpam-3818	251	40	table	table	NOUN
ejpam-3818	251	41	1	1	NUM
ejpam-3818	251	42	,	,	PUNCT
ejpam-3818	251	43	2	2	NUM
ejpam-3818	251	44	and	and	CCONJ
ejpam-3818	251	45	3	3	NUM
ejpam-3818	251	46	,	,	PUNCT
ejpam-3818	251	47	are	be	AUX
ejpam-3818	251	48	obtained	obtain	VERB
ejpam-3818	251	49	from	from	ADP
ejpam-3818	251	50	the	the	DET
ejpam-3818	251	51	suitesparse	suitesparse	NOUN
ejpam-3818	251	52	matrix	matrix	NOUN
ejpam-3818	251	53	collection	collection	NOUN
ejpam-3818	251	54	.	.	PUNCT
ejpam-3818	252	1	table	table	NOUN
ejpam-3818	252	2	1	1	NUM
ejpam-3818	252	3	gives	give	VERB
ejpam-3818	252	4	the	the	DET
ejpam-3818	252	5	basic	basic	ADJ
ejpam-3818	252	6	information	information	NOUN
ejpam-3818	252	7	about	about	ADP
ejpam-3818	252	8	the	the	DET
ejpam-3818	252	9	sparse	sparse	ADJ
ejpam-3818	252	10	matrices	matrix	NOUN
ejpam-3818	252	11	,	,	PUNCT
ejpam-3818	252	12	table	table	NOUN
ejpam-3818	252	13	2	2	NUM
ejpam-3818	252	14	and	and	CCONJ
ejpam-3818	252	15	table	table	NOUN
ejpam-3818	252	16	3	3	NUM
ejpam-3818	252	17	illustrate	illustrate	VERB
ejpam-3818	252	18	the	the	DET
ejpam-3818	252	19	performance	performance	NOUN
ejpam-3818	252	20	time	time	NOUN
ejpam-3818	252	21	and	and	CCONJ
ejpam-3818	252	22	matrix	matrix	NOUN
ejpam-3818	252	23	norm	norm	NOUN
ejpam-3818	252	24	of	of	ADP
ejpam-3818	252	25	lu	lu	PROPN
ejpam-3818	252	26	,	,	PUNCT
ejpam-3818	252	27	wz	wz	PROPN
ejpam-3818	252	28	,	,	PUNCT
ejpam-3818	252	29	vwz	vwz	PROPN
ejpam-3818	252	30	and	and	CCONJ
ejpam-3818	252	31	w	w	PROPN
ejpam-3818	252	32	ozo	ozo	PROPN
ejpam-3818	252	33	factorization	factorization	NOUN
ejpam-3818	252	34	on	on	ADP
ejpam-3818	252	35	intel	intel	PROPN
ejpam-3818	252	36	and	and	CCONJ
ejpam-3818	252	37	amd	amd	NOUN
ejpam-3818	252	38	processor	processor	NOUN
ejpam-3818	252	39	via	via	ADP
ejpam-3818	252	40	matlab	matlab	PROPN
ejpam-3818	252	41	r2017b	r2017b	PROPN
ejpam-3818	252	42	and	and	CCONJ
ejpam-3818	252	43	r2019b	r2019b	PRON
ejpam-3818	252	44	respectively	respectively	ADV
ejpam-3818	252	45	.	.	PUNCT
ejpam-3818	252	46	table	table	NOUN
ejpam-3818	252	47	1	1	NUM
ejpam-3818	252	48	:	:	PUNCT
ejpam-3818	252	49	basic	basic	ADJ
ejpam-3818	252	50	information	information	NOUN
ejpam-3818	252	51	of	of	ADP
ejpam-3818	252	52	the	the	DET
ejpam-3818	252	53	sparse	sparse	ADJ
ejpam-3818	252	54	matrices	matrix	NOUN
ejpam-3818	252	55	.	.	PUNCT
ejpam-3818	253	1	matrix	matrix	NOUN
ejpam-3818	253	2	name	name	NOUN
ejpam-3818	253	3	matrix	matrix	NOUN
ejpam-3818	253	4	size	size	NOUN
ejpam-3818	253	5	nonzero	nonzero	PROPN
ejpam-3818	253	6	entries	entry	NOUN
ejpam-3818	253	7	group	group	NOUN
ejpam-3818	253	8	year	year	NOUN
ejpam-3818	253	9	kind	kind	PROPN
ejpam-3818	253	10	tre	tre	PROPN
ejpam-3818	253	11	f	f	PROPN
ejpam-3818	253	12	ethen	ethen	PROPN
ejpam-3818	253	13	500	500	NUM
ejpam-3818	253	14	500	500	NUM
ejpam-3818	253	15	3,996	3,996	NUM
ejpam-3818	253	16	jgd	jgd	NOUN
ejpam-3818	253	17	trefethen	trefethen	NOUN
ejpam-3818	253	18	2008	2008	NUM
ejpam-3818	253	19	combinatorial	combinatorial	ADJ
ejpam-3818	253	20	problem	problem	NOUN
ejpam-3818	253	21	tub1000	tub1000	NOUN
ejpam-3818	253	22	1000	1000	NUM
ejpam-3818	253	23	97,645	97,645	NUM
ejpam-3818	253	24	bai	bai	NOUN
ejpam-3818	253	25	1994	1994	NUM
ejpam-3818	253	26	computational	computational	ADJ
ejpam-3818	253	27	fluid	fluid	ADJ
ejpam-3818	253	28	dynamic	dynamic	ADJ
ejpam-3818	253	29	problem	problem	NOUN
ejpam-3818	253	30	comsol	comsol	NOUN
ejpam-3818	253	31	1500	1500	NUM
ejpam-3818	253	32	7,996	7,996	NUM
ejpam-3818	253	33	langemyr	langemyr	NOUN
ejpam-3818	253	34	2002	2002	NUM
ejpam-3818	253	35	structural	structural	ADJ
ejpam-3818	253	36	problem	problem	NOUN
ejpam-3818	253	37	olm2000	olm2000	NOUN
ejpam-3818	253	38	2000	2000	NUM
ejpam-3818	253	39	12,349	12,349	NUM
ejpam-3818	253	40	bai	bai	PROPN
ejpam-3818	253	41	1994	1994	NUM
ejpam-3818	253	42	computational	computational	ADJ
ejpam-3818	253	43	fluid	fluid	ADJ
ejpam-3818	253	44	dynamic	dynamic	ADJ
ejpam-3818	253	45	problem	problem	NOUN
ejpam-3818	253	46	cryg2500	cryg2500	NOUN
ejpam-3818	254	1	2500	2500	NUM
ejpam-3818	254	2	174,296	174,296	NUM
ejpam-3818	254	3	bai	bai	PROPN
ejpam-3818	254	4	1996	1996	NUM
ejpam-3818	254	5	materials	material	NOUN
ejpam-3818	254	6	problem	problem	NOUN
ejpam-3818	254	7	nasa2910	nasa2910	NOUN
ejpam-3818	254	8	2910	2910	NUM
ejpam-3818	254	9	66,528	66,528	NUM
ejpam-3818	254	10	nasa	nasa	PROPN
ejpam-3818	254	11	1995	1995	NUM
ejpam-3818	254	12	structural	structural	ADJ
ejpam-3818	254	13	problem	problem	NOUN
ejpam-3818	254	14	thermal	thermal	ADJ
ejpam-3818	254	15	3456	3456	NUM
ejpam-3818	254	16	28,505	28,505	NUM
ejpam-3818	254	17	brunetiere	brunetiere	PROPN
ejpam-3818	254	18	2000	2000	NUM
ejpam-3818	254	19	thermal	thermal	ADJ
ejpam-3818	254	20	problem	problem	NOUN
ejpam-3818	254	21	act	act	NOUN
ejpam-3818	254	22	iv	iv	NUM
ejpam-3818	254	23	sg2000	sg2000	PROPN
ejpam-3818	254	24	4000	4000	NUM
ejpam-3818	254	25	219,024	219,024	NUM
ejpam-3818	254	26	tamu	tamu	ADJ
ejpam-3818	254	27	smartgridcenter	smartgridcenter	NOUN
ejpam-3818	254	28	2018	2018	NUM
ejpam-3818	254	29	power	power	NOUN
ejpam-3818	254	30	network	network	NOUN
ejpam-3818	254	31	problem	problem	NOUN
ejpam-3818	254	32	bcsstk28	bcsstk28	PROPN
ejpam-3818	254	33	4410	4410	NUM
ejpam-3818	254	34	29,600	29,600	NUM
ejpam-3818	254	35	hb	hb	NOUN
ejpam-3818	254	36	1984	1984	NUM
ejpam-3818	254	37	structural	structural	ADJ
ejpam-3818	254	38	problem	problem	NOUN
ejpam-3818	254	39	rdb5000	rdb5000	VERB
ejpam-3818	254	40	5000	5000	NUM
ejpam-3818	254	41	262,943	262,943	NUM
ejpam-3818	254	42	bai	bai	PROPN
ejpam-3818	254	43	1994	1994	NUM
ejpam-3818	254	44	computational	computational	ADJ
ejpam-3818	254	45	fluid	fluid	ADJ
ejpam-3818	254	46	dynamic	dynamic	ADJ
ejpam-3818	254	47	problem	problem	NOUN
ejpam-3818	254	48	s3rmq4m1	s3rmq4m1	PROPN
ejpam-3818	254	49	5489	5489	NUM
ejpam-3818	254	50	54,471	54,471	NUM
ejpam-3818	254	51	cylshell	cylshell	NOUN
ejpam-3818	254	52	1997	1997	NUM
ejpam-3818	254	53	structural	structural	ADJ
ejpam-3818	254	54	problem	problem	NOUN
ejpam-3818	254	55	c−32	c−32	ADJ
ejpam-3818	254	56	5975	5975	NUM
ejpam-3818	254	57	51,480	51,480	NUM
ejpam-3818	254	58	schenk	schenk	NOUN
ejpam-3818	254	59	ibmna	ibmna	VERB
ejpam-3818	254	60	2006	2006	NUM
ejpam-3818	254	61	optimization	optimization	NOUN
ejpam-3818	254	62	problem	problem	NOUN
ejpam-3818	254	63	n3c6−b7	n3c6−b7	VERB
ejpam-3818	254	64	6435	6435	NUM
ejpam-3818	254	65	340,200	340,200	NUM
ejpam-3818	254	66	jgd	jgd	PROPN
ejpam-3818	254	67	homology	homology	PROPN
ejpam-3818	254	68	2008	2008	NUM
ejpam-3818	254	69	combinatorial	combinatorial	ADJ
ejpam-3818	254	70	problem	problem	NOUN
ejpam-3818	254	71	kuu	kuu	PROPN
ejpam-3818	254	72	7102	7102	NUM
ejpam-3818	254	73	834,226	834,226	NUM
ejpam-3818	254	74	mathworks	mathworks	PROPN
ejpam-3818	254	75	2006	2006	NUM
ejpam-3818	254	76	structural	structural	ADJ
ejpam-3818	254	77	problem	problem	NOUN
ejpam-3818	255	1	f	f	PROPN
ejpam-3818	256	1	p	p	PROPN
ejpam-3818	256	2	7548	7548	NUM
ejpam-3818	256	3	834,226	834,226	NUM
ejpam-3818	256	4	mks	mks	PROPN
ejpam-3818	256	5	2006	2006	NUM
ejpam-3818	256	6	electromagnetics	electromagnetic	NOUN
ejpam-3818	256	7	problem	problem	NOUN
ejpam-3818	256	8	bcsstk38	bcsstk38	PROPN
ejpam-3818	256	9	8032	8032	NUM
ejpam-3818	256	10	355,460	355,460	NUM
ejpam-3818	256	11	boeing	boeing	PROPN
ejpam-3818	256	12	1995	1995	NUM
ejpam-3818	256	13	structural	structural	ADJ
ejpam-3818	256	14	problem	problem	NOUN
ejpam-3818	256	15	kau	kau	PROPN
ejpam-3818	256	16	f	f	PROPN
ejpam-3818	256	17	hold	hold	VERB
ejpam-3818	256	18	8765	8765	NUM
ejpam-3818	256	19	42,471	42,471	NUM
ejpam-3818	256	20	mathworks	mathworks	PROPN
ejpam-3818	256	21	2006	2006	NUM
ejpam-3818	256	22	counter	counter	PROPN
ejpam-3818	256	23	example	example	NOUN
ejpam-3818	256	24	problem	problem	NOUN
ejpam-3818	256	25	nd3k	nd3k	NOUN
ejpam-3818	256	26	9000	9000	NUM
ejpam-3818	256	27	3,279,690	3,279,690	NUM
ejpam-3818	256	28	nd	nd	NUM
ejpam-3818	256	29	2003	2003	NUM
ejpam-3818	256	30	2d\3d	2d\3d	NUM
ejpam-3818	256	31	problem	problem	NOUN
ejpam-3818	256	32	nemeth19	nemeth19	NOUN
ejpam-3818	256	33	9506	9506	NUM
ejpam-3818	256	34	818,302	818,302	NUM
ejpam-3818	256	35	nemeth	nemeth	PROPN
ejpam-3818	256	36	1999	1999	NUM
ejpam-3818	256	37	quantum	quantum	NOUN
ejpam-3818	256	38	chemistry	chemistry	NOUN
ejpam-3818	256	39	problem	problem	NOUN
ejpam-3818	256	40	cryg10000	cryg10000	PROPN
ejpam-3818	256	41	10000	10000	NUM
ejpam-3818	256	42	818,302	818,302	NUM
ejpam-3818	256	43	bai	bai	PROPN
ejpam-3818	256	44	1996	1996	NUM
ejpam-3818	256	45	materials	material	NOUN
ejpam-3818	256	46	problem	problem	NOUN
ejpam-3818	256	47	bundle1	bundle1	VERB
ejpam-3818	256	48	10581	10581	NUM
ejpam-3818	256	49	818,302	818,302	NUM
ejpam-3818	256	50	lourakis	lourakis	ADJ
ejpam-3818	256	51	2006	2006	NUM
ejpam-3818	256	52	computer	computer	NOUN
ejpam-3818	256	53	graphics	graphic	NOUN
ejpam-3818	256	54	problem	problem	NOUN
ejpam-3818	256	55	wing	wing	NOUN
ejpam-3818	256	56	nodal	nodal	NOUN
ejpam-3818	256	57	10937	10937	NUM
ejpam-3818	256	58	15,0976	15,0976	NUM
ejpam-3818	256	59	dimacs10	dimacs10	NOUN
ejpam-3818	256	60	2000	2000	NUM
ejpam-3818	256	61	undirected	undirected	ADJ
ejpam-3818	256	62	graph	graph	NOUN
ejpam-3818	256	63	o.	o.	PROPN
ejpam-3818	256	64	babarinsa	babarinsa	PROPN
ejpam-3818	256	65	et	et	PROPN
ejpam-3818	256	66	al	al	PROPN
ejpam-3818	256	67	.	.	PUNCT
ejpam-3818	256	68	/	/	SYM
ejpam-3818	256	69	eur	eur	PROPN
ejpam-3818	256	70	.	.	PUNCT
ejpam-3818	257	1	j.	j.	PROPN
ejpam-3818	257	2	pure	pure	PROPN
ejpam-3818	257	3	appl	appl	PROPN
ejpam-3818	257	4	.	.	PROPN
ejpam-3818	257	5	math	math	PROPN
ejpam-3818	257	6	,	,	PUNCT
ejpam-3818	257	7	13	13	NUM
ejpam-3818	257	8	(	(	PUNCT
ejpam-3818	257	9	4	4	NUM
ejpam-3818	257	10	)	)	PUNCT
ejpam-3818	257	11	(	(	PUNCT
ejpam-3818	257	12	2020	2020	NUM
ejpam-3818	257	13	)	)	PUNCT
ejpam-3818	257	14	,	,	PUNCT
ejpam-3818	257	15	1035	1035	NUM
ejpam-3818	257	16	-	-	SYM
ejpam-3818	257	17	1054	1054	NUM
ejpam-3818	257	18	1045	1045	NUM
ejpam-3818	257	19	table	table	NOUN
ejpam-3818	257	20	2	2	NUM
ejpam-3818	257	21	:	:	PUNCT
ejpam-3818	257	22	performance	performance	NOUN
ejpam-3818	257	23	time	time	NOUN
ejpam-3818	257	24	of	of	ADP
ejpam-3818	257	25	lu	lu	PROPN
ejpam-3818	257	26	,	,	PUNCT
ejpam-3818	257	27	wz	wz	PROPN
ejpam-3818	257	28	,	,	PUNCT
ejpam-3818	257	29	vwz	vwz	PROPN
ejpam-3818	257	30	and	and	CCONJ
ejpam-3818	257	31	w	w	PROPN
ejpam-3818	257	32	ozo	ozo	PROPN
ejpam-3818	257	33	factorization	factorization	NOUN
ejpam-3818	257	34	on	on	ADP
ejpam-3818	257	35	intel	intel	PROPN
ejpam-3818	257	36	and	and	CCONJ
ejpam-3818	257	37	on	on	ADP
ejpam-3818	257	38	amd	amd	NOUN
ejpam-3818	257	39	processor	processor	NOUN
ejpam-3818	257	40	.	.	PUNCT
ejpam-3818	258	1	matlab	matlab	PROPN
ejpam-3818	258	2	r2017b	r2017b	PROPN
ejpam-3818	258	3	matlab	matlab	PROPN
ejpam-3818	258	4	r2019b	r2019b	PRON
ejpam-3818	258	5	matrix	matrix	NOUN
ejpam-3818	258	6	name	name	NOUN
ejpam-3818	258	7	intel	intel	PROPN
ejpam-3818	258	8	amd	amd	PROPN
ejpam-3818	258	9	intel	intel	PROPN
ejpam-3818	258	10	amd	amd	PROPN
ejpam-3818	258	11	lu	lu	PROPN
ejpam-3818	258	12	wz	wz	PROPN
ejpam-3818	258	13	vwz	vwz	PROPN
ejpam-3818	258	14	w	w	PROPN
ejpam-3818	258	15	ozo	ozo	PROPN
ejpam-3818	258	16	lu	lu	PROPN
ejpam-3818	258	17	wz	wz	PROPN
ejpam-3818	258	18	vwz	vwz	PROPN
ejpam-3818	258	19	w	w	PROPN
ejpam-3818	258	20	ozo	ozo	PROPN
ejpam-3818	258	21	lu	lu	PROPN
ejpam-3818	258	22	wz	wz	PROPN
ejpam-3818	258	23	vwz	vwz	PROPN
ejpam-3818	258	24	w	w	PROPN
ejpam-3818	258	25	ozo	ozo	PROPN
ejpam-3818	258	26	lu	lu	PROPN
ejpam-3818	258	27	wz	wz	PROPN
ejpam-3818	258	28	vwz	vwz	PROPN
ejpam-3818	258	29	w	w	PROPN
ejpam-3818	258	30	ozo	ozo	PROPN
ejpam-3818	258	31	tre	tre	PROPN
ejpam-3818	258	32	f	f	PROPN
ejpam-3818	258	33	ethen	ethen	PROPN
ejpam-3818	258	34	500	500	NUM
ejpam-3818	258	35	8.62	8.62	NUM
ejpam-3818	258	36	7.46	7.46	NUM
ejpam-3818	258	37	4.01	4.01	NUM
ejpam-3818	258	38	8.52	8.52	NUM
ejpam-3818	258	39	19.46	19.46	NUM
ejpam-3818	258	40	11.42	11.42	NUM
ejpam-3818	258	41	5.90	5.90	NUM
ejpam-3818	258	42	8.52	8.52	NUM
ejpam-3818	258	43	4.75	4.75	NUM
ejpam-3818	258	44	4.56	4.56	NUM
ejpam-3818	258	45	2.75	2.75	NUM
ejpam-3818	258	46	3.78	3.78	NUM
ejpam-3818	258	47	8.62	8.62	NUM
ejpam-3818	258	48	7.46	7.46	NUM
ejpam-3818	258	49	4.01	4.01	NUM
ejpam-3818	258	50	6.22	6.22	NUM
ejpam-3818	258	51	tub1000	tub1000	NOUN
ejpam-3818	258	52	15.55	15.55	NUM
ejpam-3818	258	53	13.64	13.64	NUM
ejpam-3818	258	54	7.04	7.04	NUM
ejpam-3818	258	55	15.43	15.43	NUM
ejpam-3818	258	56	39.72	39.72	NUM
ejpam-3818	258	57	21.75	21.75	NUM
ejpam-3818	258	58	13.42	13.42	NUM
ejpam-3818	258	59	15.43	15.43	NUM
ejpam-3818	258	60	8.37	8.37	NUM
ejpam-3818	258	61	7.85	7.85	NUM
ejpam-3818	258	62	5.28	5.28	NUM
ejpam-3818	258	63	5.93	5.93	NUM
ejpam-3818	258	64	15.55	15.55	NUM
ejpam-3818	258	65	13.64	13.64	NUM
ejpam-3818	258	66	7.04	7.04	NUM
ejpam-3818	258	67	10.45	10.45	NUM
ejpam-3818	258	68	comsol	comsol	NOUN
ejpam-3818	258	69	45.12	45.12	NUM
ejpam-3818	258	70	39.18	39.18	NUM
ejpam-3818	258	71	20.02	20.02	NUM
ejpam-3818	258	72	35.33	35.33	NUM
ejpam-3818	258	73	73.75	73.75	NUM
ejpam-3818	258	74	59.20	59.20	NUM
ejpam-3818	258	75	28.42	28.42	NUM
ejpam-3818	258	76	35.33	35.33	NUM
ejpam-3818	258	77	29.23	29.23	NUM
ejpam-3818	258	78	23.46	23.46	NUM
ejpam-3818	258	79	12.82	12.82	NUM
ejpam-3818	258	80	15.84	15.84	NUM
ejpam-3818	258	81	45.12	45.12	NUM
ejpam-3818	258	82	39.18	39.18	NUM
ejpam-3818	258	83	20.02	20.02	NUM
ejpam-3818	258	84	28.81	28.81	NUM
ejpam-3818	258	85	olm2000	olm2000	NOUN
ejpam-3818	258	86	103.72	103.72	NUM
ejpam-3818	258	87	89.82	89.82	NUM
ejpam-3818	258	88	34.51	34.51	NUM
ejpam-3818	258	89	79.05	79.05	NUM
ejpam-3818	258	90	132.64	132.64	NUM
ejpam-3818	258	91	113.14	113.14	NUM
ejpam-3818	258	92	43.41	43.41	NUM
ejpam-3818	258	93	79.05	79.05	NUM
ejpam-3818	258	94	55.15	55.15	NUM
ejpam-3818	258	95	46.64	46.64	NUM
ejpam-3818	258	96	21.57	21.57	NUM
ejpam-3818	258	97	34.73	34.73	NUM
ejpam-3818	258	98	103.72	103.72	NUM
ejpam-3818	258	99	89.82	89.82	NUM
ejpam-3818	258	100	34.51	34.51	NUM
ejpam-3818	258	101	58.73	58.73	NUM
ejpam-3818	258	102	cryg2500	cryg2500	NOUN
ejpam-3818	258	103	188.78	188.78	NUM
ejpam-3818	258	104	158.3	158.3	NUM
ejpam-3818	258	105	53.22	53.22	NUM
ejpam-3818	258	106	144.15	144.15	NUM
ejpam-3818	258	107	263.13	263.13	NUM
ejpam-3818	258	108	213.23	213.23	NUM
ejpam-3818	258	109	69.87	69.87	NUM
ejpam-3818	258	110	144.15	144.15	NUM
ejpam-3818	258	111	117.23	117.23	NUM
ejpam-3818	258	112	87.15	87.15	NUM
ejpam-3818	258	113	40.86	40.86	NUM
ejpam-3818	258	114	56.55	56.55	NUM
ejpam-3818	258	115	188.78	188.78	NUM
ejpam-3818	258	116	158.3	158.3	NUM
ejpam-3818	258	117	53.22	53.22	NUM
ejpam-3818	258	118	121.18	121.18	NUM
ejpam-3818	258	119	nasa2910	nasa2910	NOUN
ejpam-3818	258	120	482.57	482.57	NUM
ejpam-3818	258	121	403.15	403.15	NUM
ejpam-3818	258	122	205.18	205.18	NUM
ejpam-3818	258	123	363.12	363.12	NUM
ejpam-3818	258	124	639.57	639.57	NUM
ejpam-3818	258	125	538.32	538.32	NUM
ejpam-3818	258	126	276.52	276.52	NUM
ejpam-3818	258	127	363.12	363.12	NUM
ejpam-3818	258	128	390.42	390.42	NUM
ejpam-3818	258	129	232.05	232.05	NUM
ejpam-3818	258	130	155.65	155.65	NUM
ejpam-3818	258	131	186.42	186.42	NUM
ejpam-3818	258	132	482.57	482.57	NUM
ejpam-3818	258	133	403.15	403.15	NUM
ejpam-3818	258	134	205.18	205.18	NUM
ejpam-3818	258	135	318.87	318.87	NUM
ejpam-3818	258	136	thermal	thermal	NOUN
ejpam-3818	258	137	929.17	929.17	NUM
ejpam-3818	258	138	857.85	857.85	NUM
ejpam-3818	258	139	312.61	312.61	NUM
ejpam-3818	258	140	813.50	813.50	NUM
ejpam-3818	258	141	1324.55	1324.55	NUM
ejpam-3818	258	142	1029.13	1029.13	NUM
ejpam-3818	258	143	470.45	470.45	NUM
ejpam-3818	258	144	813.50	813.50	NUM
ejpam-3818	258	145	722.43	722.43	NUM
ejpam-3818	258	146	473.42	473.42	NUM
ejpam-3818	258	147	281.64	281.64	NUM
ejpam-3818	258	148	331.53	331.53	NUM
ejpam-3818	258	149	929.17	929.17	NUM
ejpam-3818	258	150	857.85	857.85	NUM
ejpam-3818	258	151	312.61	312.61	NUM
ejpam-3818	258	152	629.45	629.45	NUM
ejpam-3818	258	153	act	act	NOUN
ejpam-3818	258	154	iv	iv	NUM
ejpam-3818	258	155	sg2000	sg2000	PROPN
ejpam-3818	258	156	1431.20	1431.20	NUM
ejpam-3818	258	157	1125.16	1125.16	NUM
ejpam-3818	258	158	506.07	506.07	NUM
ejpam-3818	258	159	1796.92	1796.92	NUM
ejpam-3818	258	160	2569.15	2569.15	NUM
ejpam-3818	258	161	2183.07	2183.07	NUM
ejpam-3818	258	162	876.19	876.19	NUM
ejpam-3818	258	163	1796.92	1796.92	NUM
ejpam-3818	258	164	1438.57	1438.57	PROPN
ejpam-3818	258	165	937.45	937.45	NUM
ejpam-3818	258	166	419.76	419.76	NUM
ejpam-3818	258	167	623.53	623.53	NUM
ejpam-3818	258	168	1431.20	1431.20	NUM
ejpam-3818	258	169	1125.16	1125.16	NUM
ejpam-3818	258	170	506.07	506.07	NUM
ejpam-3818	258	171	981.01	981.01	NUM
ejpam-3818	258	172	bcsstk28	bcsstk28	NOUN
ejpam-3818	258	173	2661.12	2661.12	NUM
ejpam-3818	258	174	1836.67	1836.67	NUM
ejpam-3818	258	175	599.37	599.37	NUM
ejpam-3818	258	176	2062.15	2062.15	NUM
ejpam-3818	258	177	4013.45	4013.45	NUM
ejpam-3818	258	178	2858.11	2858.11	NUM
ejpam-3818	258	179	719.92	719.92	NUM
ejpam-3818	258	180	2062.15	2062.15	NUM
ejpam-3818	258	181	1927.61	1927.61	NUM
ejpam-3818	258	182	1123.35	1123.35	NUM
ejpam-3818	258	183	586.45	586.45	NUM
ejpam-3818	258	184	813.09	813.09	NUM
ejpam-3818	258	185	2661.12	2661.12	NUM
ejpam-3818	258	186	1836.67	1836.67	NUM
ejpam-3818	258	187	599.37	599.37	NUM
ejpam-3818	258	188	1135.84	1135.84	NUM
ejpam-3818	258	189	rdb5000	rdb5000	X
ejpam-3818	258	190	3459.22	3459.22	NUM
ejpam-3818	258	191	2659.92	2659.92	NUM
ejpam-3818	258	192	783.84	783.84	NUM
ejpam-3818	258	193	2292.48	2292.48	NUM
ejpam-3818	258	194	5631.51	5631.51	NUM
ejpam-3818	258	195	3932.91	3932.91	NUM
ejpam-3818	258	196	939.34	939.34	NUM
ejpam-3818	258	197	2292.48	2292.48	NUM
ejpam-3818	258	198	2973.75	2973.75	NUM
ejpam-3818	258	199	1937.15	1937.15	NUM
ejpam-3818	258	200	767.15	767.15	NUM
ejpam-3818	258	201	1236.30	1236.30	NUM
ejpam-3818	258	202	3459.22	3459.22	NUM
ejpam-3818	258	203	2659.92	2659.92	NUM
ejpam-3818	258	204	783.84	783.84	NUM
ejpam-3818	258	205	1689.98	1689.98	NUM
ejpam-3818	258	206	s3rmq4m1	s3rmq4m1	NOUN
ejpam-3818	258	207	4832.34	4832.34	NUM
ejpam-3818	258	208	3832.18	3832.18	NUM
ejpam-3818	258	209	950.92	950.92	NUM
ejpam-3818	258	210	4354.84	4354.84	NUM
ejpam-3818	258	211	7937.43	7937.43	NUM
ejpam-3818	258	212	6122.84	6122.84	NUM
ejpam-3818	258	213	2295.32	2295.32	NUM
ejpam-3818	258	214	4354.84	4354.84	NUM
ejpam-3818	258	215	4132.98	4132.98	NUM
ejpam-3818	258	216	2786.10	2786.10	NUM
ejpam-3818	258	217	823.72	823.72	NUM
ejpam-3818	258	218	1454.84	1454.84	NUM
ejpam-3818	258	219	4832.34	4832.34	NUM
ejpam-3818	258	220	3832.18	3832.18	NUM
ejpam-3818	258	221	950.92	950.92	NUM
ejpam-3818	258	222	2006.14	2006.14	NUM
ejpam-3818	258	223	c−32	c−32	PRON
ejpam-3818	258	224	6489.65	6489.65	NUM
ejpam-3818	258	225	5389.14	5389.14	NUM
ejpam-3818	258	226	1273.51	1273.51	NUM
ejpam-3818	258	227	3965.15	3965.15	NUM
ejpam-3818	258	228	9003.58	9003.58	NUM
ejpam-3818	258	229	7204.77	7204.77	NUM
ejpam-3818	258	230	2134.84	2134.84	NUM
ejpam-3818	258	231	3965.15	3965.15	NUM
ejpam-3818	258	232	5247.42	5247.42	NUM
ejpam-3818	258	233	3927.54	3927.54	NUM
ejpam-3818	258	234	1207.31	1207.31	NUM
ejpam-3818	258	235	2153.65	2153.65	NUM
ejpam-3818	258	236	6489.65	6489.65	NUM
ejpam-3818	258	237	5389.14	5389.14	NUM
ejpam-3818	258	238	1273.51	1273.51	NUM
ejpam-3818	258	239	2515.75	2515.75	NUM
ejpam-3818	258	240	n3c6−b7	n3c6−b7	X
ejpam-3818	258	241	8126.71	8126.71	NUM
ejpam-3818	258	242	6981.75	6981.75	NUM
ejpam-3818	258	243	1893.01	1893.01	NUM
ejpam-3818	258	244	4603.21	4603.21	NUM
ejpam-3818	258	245	10369.48	10369.48	NUM
ejpam-3818	258	246	8112.60	8112.60	NUM
ejpam-3818	258	247	3025.18	3025.18	NUM
ejpam-3818	258	248	4603.21	4603.21	NUM
ejpam-3818	258	249	6621.45	6621.45	NUM
ejpam-3818	258	250	4132.73	4132.73	NUM
ejpam-3818	258	251	1862.56	1862.56	NUM
ejpam-3818	258	252	2863.52	2863.52	NUM
ejpam-3818	258	253	8126.71	8126.71	NUM
ejpam-3818	258	254	6981.75	6981.75	NUM
ejpam-3818	258	255	1893.01	1893.01	NUM
ejpam-3818	258	256	3631.71	3631.71	NUM
ejpam-3818	258	257	kuu	kuu	PROPN
ejpam-3818	258	258	10265.34	10265.34	NUM
ejpam-3818	258	259	8265.48	8265.48	NUM
ejpam-3818	258	260	2973.15	2973.15	NUM
ejpam-3818	258	261	7331.64	7331.64	NUM
ejpam-3818	258	262	12698.81	12698.81	NUM
ejpam-3818	258	263	10249.27	10249.27	NUM
ejpam-3818	258	264	4297.12	4297.12	NUM
ejpam-3818	258	265	7331.64	7331.64	NUM
ejpam-3818	258	266	8457.54	8457.54	NUM
ejpam-3818	258	267	5891.14	5891.14	NUM
ejpam-3818	258	268	2793.18	2793.18	NUM
ejpam-3818	258	269	3936.61	3936.61	NUM
ejpam-3818	258	270	10265.34	10265.34	NUM
ejpam-3818	258	271	8265.48	8265.48	NUM
ejpam-3818	258	272	2973.15	2973.15	NUM
ejpam-3818	258	273	5713.94	5713.94	NUM
ejpam-3818	258	274	f	f	NOUN
ejpam-3818	259	1	p	p	X
ejpam-3818	260	1	12823.35	12823.35	NUM
ejpam-3818	261	1	10523.83	10523.83	NUM
ejpam-3818	261	2	4789.81	4789.81	NUM
ejpam-3818	261	3	9393.45	9393.45	NUM
ejpam-3818	261	4	16739.16	16739.16	NUM
ejpam-3818	261	5	13332.05	13332.05	NUM
ejpam-3818	261	6	6629.94	6629.94	NUM
ejpam-3818	261	7	9393.45	9393.45	NUM
ejpam-3818	261	8	11023.35	11023.35	NUM
ejpam-3818	261	9	9113.51	9113.51	NUM
ejpam-3818	261	10	5227.07	5227.07	NUM
ejpam-3818	261	11	6137.01	6137.01	NUM
ejpam-3818	261	12	12823.35	12823.35	NUM
ejpam-3818	261	13	10523.83	10523.83	NUM
ejpam-3818	261	14	4789.81	4789.81	NUM
ejpam-3818	261	15	7703.27	7703.27	NUM
ejpam-3818	261	16	bcsstk38	bcsstk38	NOUN
ejpam-3818	261	17	14096.62	14096.62	NUM
ejpam-3818	261	18	12096.5	12096.5	NUM
ejpam-3818	261	19	5527.45	5527.45	NUM
ejpam-3818	261	20	10762.70	10762.70	NUM
ejpam-3818	261	21	18134.61	18134.61	NUM
ejpam-3818	261	22	15599.49	15599.49	NUM
ejpam-3818	261	23	6819.17	6819.17	NUM
ejpam-3818	261	24	10762.70	10762.70	NUM
ejpam-3818	261	25	12389.20	12389.20	NUM
ejpam-3818	261	26	9864.25	9864.25	NUM
ejpam-3818	261	27	5867.55	5867.55	NUM
ejpam-3818	261	28	6935.55	6935.55	NUM
ejpam-3818	261	29	14096.62	14096.62	NUM
ejpam-3818	261	30	12096.5	12096.5	NUM
ejpam-3818	261	31	5527.45	5527.45	NUM
ejpam-3818	261	32	9124.52	9124.52	NUM
ejpam-3818	261	33	kau	kau	PROPN
ejpam-3818	261	34	f	f	PROPN
ejpam-3818	261	35	hold	hold	VERB
ejpam-3818	261	36	17917.45	17917.45	NUM
ejpam-3818	261	37	15617.31	15617.31	NUM
ejpam-3818	261	38	8534.12	8534.12	NUM
ejpam-3818	261	39	14297.41	14297.41	NUM
ejpam-3818	261	40	21260.27	21260.27	NUM
ejpam-3818	261	41	17917.44	17917.44	NUM
ejpam-3818	261	42	9389.54	9389.54	NUM
ejpam-3818	261	43	14297.41	14297.41	NUM
ejpam-3818	261	44	17016.72	17016.72	NUM
ejpam-3818	261	45	13983.48	13983.48	NUM
ejpam-3818	261	46	7098.30	7098.30	NUM
ejpam-3818	261	47	9214.53	9214.53	NUM
ejpam-3818	261	48	17917.45	17917.45	NUM
ejpam-3818	261	49	15617.31	15617.31	NUM
ejpam-3818	261	50	8534.12	8534.12	NUM
ejpam-3818	261	51	12885.85	12885.85	NUM
ejpam-3818	261	52	nd3k	nd3k	NOUN
ejpam-3818	261	53	24685.45	24685.45	NUM
ejpam-3818	261	54	20685.48	20685.48	NUM
ejpam-3818	261	55	12387.52	12387.52	NUM
ejpam-3818	261	56	20297.53	20297.53	NUM
ejpam-3818	261	57	28351.27	28351.27	NUM
ejpam-3818	261	58	25007.71	25007.71	NUM
ejpam-3818	261	59	15235.02	15235.02	NUM
ejpam-3818	261	60	20297.53	20297.53	NUM
ejpam-3818	261	61	22707.63	22707.63	NUM
ejpam-3818	261	62	18573.15	18573.15	NUM
ejpam-3818	261	63	11053.45	11053.45	NUM
ejpam-3818	261	64	13847.45	13847.45	NUM
ejpam-3818	261	65	24685.45	24685.45	NUM
ejpam-3818	261	66	20685.48	20685.48	NUM
ejpam-3818	261	67	12387.52	12387.52	NUM
ejpam-3818	261	68	16813.89	16813.89	NUM
ejpam-3818	261	69	nemeth19	nemeth19	NOUN
ejpam-3818	261	70	25034.62	25034.62	NUM
ejpam-3818	261	71	22034.34	22034.34	NUM
ejpam-3818	261	72	13087.82	13087.82	NUM
ejpam-3818	261	73	18897.14	18897.14	NUM
ejpam-3818	261	74	26482.15	26482.15	NUM
ejpam-3818	261	75	23917.64	23917.64	NUM
ejpam-3818	261	76	13683.88	13683.88	NUM
ejpam-3818	261	77	18897.14	18897.14	NUM
ejpam-3818	261	78	23025.75	23025.75	NUM
ejpam-3818	261	79	18987.47	18987.47	NUM
ejpam-3818	261	80	11353.52	11353.52	NUM
ejpam-3818	261	81	14282.34	14282.34	NUM
ejpam-3818	261	82	25034.62	25034.62	NUM
ejpam-3818	261	83	22034.34	22034.34	NUM
ejpam-3818	261	84	13087.82	13087.82	NUM
ejpam-3818	261	85	17147.86	17147.86	NUM
ejpam-3818	262	1	cryg10000	cryg10000	PROPN
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ejpam-3818	262	3	25318.19	25318.19	NUM
ejpam-3818	262	4	16439.45	16439.45	NUM
ejpam-3818	262	5	20297.84	20297.84	NUM
ejpam-3818	262	6	28634.51	28634.51	NUM
ejpam-3818	262	7	25637.24	25637.24	NUM
ejpam-3818	262	8	15026.85	15026.85	NUM
ejpam-3818	262	9	20297.84	20297.84	NUM
ejpam-3818	262	10	25463.54	25463.54	NUM
ejpam-3818	262	11	21984.45	21984.45	NUM
ejpam-3818	262	12	13448.25	13448.25	NUM
ejpam-3818	262	13	17157.22	17157.22	NUM
ejpam-3818	262	14	28818.28	28818.28	NUM
ejpam-3818	262	15	25318.19	25318.19	NUM
ejpam-3818	262	16	16439.45	16439.45	NUM
ejpam-3818	262	17	19884.64	19884.64	NUM
ejpam-3818	262	18	bundle1	bundle1	VERB
ejpam-3818	263	1	31724.22	31724.22	NUM
ejpam-3818	263	2	28724.46	28724.46	NUM
ejpam-3818	263	3	19334.35	19334.35	NUM
ejpam-3818	263	4	25031.50	25031.50	NUM
ejpam-3818	263	5	35128.77	35128.77	NUM
ejpam-3818	263	6	31072.54	31072.54	NUM
ejpam-3818	263	7	18843.52	18843.52	NUM
ejpam-3818	263	8	25031.50	25031.50	NUM
ejpam-3818	263	9	30784.45	30784.45	NUM
ejpam-3818	263	10	27738.55	27738.55	NUM
ejpam-3818	263	11	17395.71	17395.71	NUM
ejpam-3818	263	12	21912.56	21912.56	NUM
ejpam-3818	263	13	31724.22	31724.22	NUM
ejpam-3818	263	14	28724.46	28724.46	NUM
ejpam-3818	263	15	19334.35	19334.35	NUM
ejpam-3818	263	16	22746.55	22746.55	NUM
ejpam-3818	263	17	wing	wing	NOUN
ejpam-3818	263	18	nodal	nodal	NOUN
ejpam-3818	263	19	34465.18	34465.18	NUM
ejpam-3818	263	20	31465.75	31465.75	NUM
ejpam-3818	263	21	22135.19	22135.19	NUM
ejpam-3818	263	22	27815.14	27815.14	NUM
ejpam-3818	263	23	39581.06	39581.06	NUM
ejpam-3818	263	24	36685.84	36685.84	NUM
ejpam-3818	263	25	22348.11	22348.11	NUM
ejpam-3818	263	26	27815.14	27815.14	NUM
ejpam-3818	263	27	31263.52	31263.52	NUM
ejpam-3818	263	28	28149.16	28149.16	NUM
ejpam-3818	263	29	17981.03	17981.03	NUM
ejpam-3818	263	30	22101.33	22101.33	NUM
ejpam-3818	263	31	34465.18	34465.18	NUM
ejpam-3818	263	32	31465.75	31465.75	NUM
ejpam-3818	263	33	22135.19	22135.19	NUM
ejpam-3818	263	34	26698.74	26698.74	NUM
ejpam-3818	263	35	table	table	NOUN
ejpam-3818	263	36	3	3	NUM
ejpam-3818	263	37	:	:	PUNCT
ejpam-3818	263	38	matrix	matrix	NOUN
ejpam-3818	263	39	norms	norm	NOUN
ejpam-3818	263	40	of	of	ADP
ejpam-3818	263	41	lu	lu	PROPN
ejpam-3818	263	42	,	,	PUNCT
ejpam-3818	263	43	wz	wz	PROPN
ejpam-3818	263	44	,	,	PUNCT
ejpam-3818	263	45	vwz	vwz	PROPN
ejpam-3818	263	46	and	and	CCONJ
ejpam-3818	263	47	w	w	PROPN
ejpam-3818	263	48	ozo	ozo	PROPN
ejpam-3818	263	49	factorization	factorization	NOUN
ejpam-3818	263	50	on	on	ADP
ejpam-3818	263	51	matlab	matlab	PROPN
ejpam-3818	263	52	r2019b	r2019b	PROPN
ejpam-3818	263	53	.	.	PROPN
ejpam-3818	263	54	matlab	matlab	PROPN
ejpam-3818	263	55	r2017b	r2017b	PROPN
ejpam-3818	263	56	matlab	matlab	PROPN
ejpam-3818	263	57	r2019b	r2019b	PRON
ejpam-3818	263	58	matrix	matrix	NOUN
ejpam-3818	263	59	name	name	NOUN
ejpam-3818	263	60	frobenius	frobenius	NOUN
ejpam-3818	263	61	norm	norm	NOUN
ejpam-3818	263	62	intel	intel	PROPN
ejpam-3818	263	63	amd	amd	PROPN
ejpam-3818	263	64	intel	intel	PROPN
ejpam-3818	263	65	amd	amd	PROPN
ejpam-3818	263	66	‖b−lu‖	‖b−lu‖	PROPN
ejpam-3818	263	67	‖b−wz‖	‖b−wz‖	PUNCT
ejpam-3818	263	68	‖b−vwz‖	‖b−vwz‖	PROPN
ejpam-3818	263	69	‖b−w	‖b−w	PROPN
ejpam-3818	263	70	ozo‖	ozo‖	X
ejpam-3818	263	71	‖b−lu‖	‖b−lu‖	X
ejpam-3818	263	72	‖b−wz‖	‖b−wz‖	PUNCT
ejpam-3818	263	73	‖b−vwz‖	‖b−vwz‖	PROPN
ejpam-3818	263	74	‖b−w	‖b−w	PROPN
ejpam-3818	263	75	ozo‖	ozo‖	X
ejpam-3818	263	76	‖b−lu‖	‖b−lu‖	X
ejpam-3818	263	77	‖b−wz‖	‖b−wz‖	PUNCT
ejpam-3818	263	78	‖b−vwz‖	‖b−vwz‖	PROPN
ejpam-3818	263	79	‖b−w	‖b−w	PROPN
ejpam-3818	263	80	ozo‖	ozo‖	X
ejpam-3818	263	81	‖b−lu‖	‖b−lu‖	X
ejpam-3818	263	82	‖b−wz‖	‖b−wz‖	PUNCT
ejpam-3818	263	83	‖b−vwz‖	‖b−vwz‖	PROPN
ejpam-3818	263	84	‖b−w	‖b−w	PROPN
ejpam-3818	263	85	ozo‖	ozo‖	NOUN
ejpam-3818	263	86	tre	tre	PROPN
ejpam-3818	263	87	f	f	PROPN
ejpam-3818	263	88	ethen	ethen	PROPN
ejpam-3818	263	89	500	500	NUM
ejpam-3818	263	90	4.39e+04	4.39e+04	NUM
ejpam-3818	263	91	1.96e-20	1.96e-20	NUM
ejpam-3818	263	92	1.83e-20	1.83e-20	NUM
ejpam-3818	263	93	1.14e-20	1.14e-20	NUM
ejpam-3818	263	94	0.98e-20	0.98e-20	NUM
ejpam-3818	263	95	1.63e-19	1.63e-19	NUM
ejpam-3818	263	96	1.13e-19	1.13e-19	NUM
ejpam-3818	263	97	1.49e-19	1.49e-19	NUM
ejpam-3818	263	98	0.82e-19	0.82e-19	NUM
ejpam-3818	263	99	1.46e-21	1.46e-21	NUM
ejpam-3818	263	100	0.63e-21	0.63e-21	NUM
ejpam-3818	263	101	0.16e-21	0.16e-21	NUM
ejpam-3818	263	102	0.08e-21	0.08e-21	NUM
ejpam-3818	263	103	1.98e-20	1.98e-20	NUM
ejpam-3818	263	104	1.62e-20	1.62e-20	NUM
ejpam-3818	263	105	1.24e-20	1.24e-20	NUM
ejpam-3818	263	106	1.01e-20	1.01e-20	NUM
ejpam-3818	263	107	tub1000	tub1000	NOUN
ejpam-3818	263	108	3.86e+06	3.86e+06	NUM
ejpam-3818	263	109	2.68e-20	2.68e-20	NUM
ejpam-3818	263	110	2.31e-20	2.31e-20	NUM
ejpam-3818	263	111	1.79e-20	1.79e-20	NUM
ejpam-3818	263	112	1.72e-20	1.72e-20	NUM
ejpam-3818	263	113	2.65e-19	2.65e-19	NUM
ejpam-3818	263	114	2.37e-19	2.37e-19	NUM
ejpam-3818	263	115	1.94e-19	1.94e-19	NUM
ejpam-3818	263	116	1.48e-19	1.48e-19	NUM
ejpam-3818	263	117	2.23e-21	2.23e-21	NUM
ejpam-3818	263	118	2.01e-21	2.01e-21	NUM
ejpam-3818	263	119	1.46e-21	1.46e-21	NUM
ejpam-3818	263	120	1.08e-21	1.08e-21	NUM
ejpam-3818	263	121	4.56e-20	4.56e-20	NUM
ejpam-3818	263	122	4.23e-20	4.23e-20	NUM
ejpam-3818	263	123	3.81e-20	3.81e-20	NUM
ejpam-3818	263	124	3.51e-20	3.51e-20	NUM
ejpam-3818	263	125	comsol	comsol	NOUN
ejpam-3818	263	126	11.02	11.02	NUM
ejpam-3818	263	127	3.75e-20	3.75e-20	NUM
ejpam-3818	263	128	3.53e-20	3.53e-20	NUM
ejpam-3818	263	129	2.94e-20	2.94e-20	NUM
ejpam-3818	263	130	2.19e-20	2.19e-20	NUM
ejpam-3818	263	131	3.62e-19	3.62e-19	NUM
ejpam-3818	263	132	3.27e-19	3.27e-19	NUM
ejpam-3818	263	133	2.31e-19	2.31e-19	NUM
ejpam-3818	263	134	2.24e-19	2.24e-19	NUM
ejpam-3818	263	135	2.84e-21	2.84e-21	NUM
ejpam-3818	263	136	2.56e-21	2.56e-21	NUM
ejpam-3818	263	137	2.32e-21	2.32e-21	NUM
ejpam-3818	263	138	2.12e-21	2.12e-21	NUM
ejpam-3818	263	139	6.67e-20	6.67e-20	NUM
ejpam-3818	263	140	6.23e-20	6.23e-20	NUM
ejpam-3818	263	141	5.91e-20	5.91e-20	NUM
ejpam-3818	263	142	5.57e-20	5.57e-20	NUM
ejpam-3818	263	143	olm2000	olm2000	NOUN
ejpam-3818	263	144	7.12e+06	7.12e+06	NUM
ejpam-3818	263	145	5.62e-20	5.62e-20	NUM
ejpam-3818	263	146	5.40e-20	5.40e-20	NUM
ejpam-3818	263	147	5.03e-20	5.03e-20	NUM
ejpam-3818	263	148	4.31e-20	4.31e-20	NUM
ejpam-3818	263	149	5.752e-18	5.752e-18	NUM
ejpam-3818	263	150	5.43e-18	5.43e-18	NUM
ejpam-3818	263	151	5.15e-18	5.15e-18	NUM
ejpam-3818	263	152	4.33e-18	4.33e-18	NUM
ejpam-3818	263	153	4.92e-21	4.92e-21	NUM
ejpam-3818	263	154	4.11e-21	4.11e-21	NUM
ejpam-3818	263	155	4.03e-21	4.03e-21	NUM
ejpam-3818	263	156	3.91e-21	3.91e-21	NUM
ejpam-3818	263	157	8.75e-20	8.75e-20	NUM
ejpam-3818	263	158	5.43e-20	5.43e-20	NUM
ejpam-3818	263	159	5.15e-20	5.15e-20	NUM
ejpam-3818	263	160	4.33e-20	4.33e-20	NUM
ejpam-3818	263	161	cryg2500	cryg2500	NOUN
ejpam-3818	263	162	4.29e+04	4.29e+04	NUM
ejpam-3818	263	163	8.51e-20	8.51e-20	NUM
ejpam-3818	263	164	8.32e-20	8.32e-20	NUM
ejpam-3818	263	165	7.27e-20	7.27e-20	NUM
ejpam-3818	263	166	6.36e-20	6.36e-20	NUM
ejpam-3818	263	167	8.54e-18	8.54e-18	NUM
ejpam-3818	263	168	8.25e-18	8.25e-18	NUM
ejpam-3818	263	169	7.28e-18	7.28e-18	NUM
ejpam-3818	263	170	6.41e-18	6.41e-18	NUM
ejpam-3818	263	171	6.72e-21	6.72e-21	NUM
ejpam-3818	263	172	6.31e-21	6.31e-21	NUM
ejpam-3818	263	173	6.01e-21	6.01e-21	NUM
ejpam-3818	263	174	5.79e-21	5.79e-21	NUM
ejpam-3818	263	175	1.54e-19	1.54e-19	NUM
ejpam-3818	263	176	0.25e-19	0.25e-19	NUM
ejpam-3818	263	177	0.28e-19	0.28e-19	NOUN
ejpam-3818	263	178	0.41e-19	0.41e-19	ADP
ejpam-3818	263	179	nasa2910	nasa2910	NOUN
ejpam-3818	263	180	3.60e+08	3.60e+08	NUM
ejpam-3818	263	181	9.79e-20	9.79e-20	NUM
ejpam-3818	263	182	9.48e-20	9.48e-20	NUM
ejpam-3818	263	183	8.96e-20	8.96e-20	NUM
ejpam-3818	263	184	8.48e-20	8.48e-20	NUM
ejpam-3818	263	185	9.93e-18	9.93e-18	NUM
ejpam-3818	263	186	9.25e-18	9.25e-18	NUM
ejpam-3818	263	187	8.15e-18	8.15e-18	NUM
ejpam-3818	263	188	8.73e-18	8.73e-18	NUM
ejpam-3818	263	189	8.69e-21	8.69e-21	NUM
ejpam-3818	263	190	8.19e-21	8.19e-21	NUM
ejpam-3818	263	191	7.91e-21	7.91e-21	NUM
ejpam-3818	263	192	7.75e-21	7.75e-21	NUM
ejpam-3818	263	193	3.93e-19	3.93e-19	NUM
ejpam-3818	263	194	2.25e-19	2.25e-19	NUM
ejpam-3818	263	195	1.15e-19	1.15e-19	NUM
ejpam-3818	263	196	0.73e-19	0.73e-19	NOUN
ejpam-3818	263	197	thermal	thermal	ADJ
ejpam-3818	263	198	40.03	40.03	NUM
ejpam-3818	263	199	1.02e-19	1.02e-19	NUM
ejpam-3818	263	200	0.98e-19	0.98e-19	ADP
ejpam-3818	263	201	0.82e-19	0.82e-19	NUM
ejpam-3818	263	202	0.25e-19	0.25e-19	NUM
ejpam-3818	263	203	1.13e-18	1.13e-18	NUM
ejpam-3818	263	204	0.78e-18	0.78e-18	NUM
ejpam-3818	263	205	0.63e-18	0.63e-18	NUM
ejpam-3818	263	206	0.41e-18	0.41e-18	NUM
ejpam-3818	263	207	1.52e-20	1.52e-20	NUM
ejpam-3818	263	208	1.30e-20	1.30e-20	NUM
ejpam-3818	263	209	1.89e-20	1.89e-20	NUM
ejpam-3818	263	210	0.68e-20	0.68e-20	NUM
ejpam-3818	263	211	8.13e-19	8.13e-19	NUM
ejpam-3818	263	212	8.78e-19	8.78e-19	NOUN
ejpam-3818	263	213	7.63e-19	7.63e-19	PROPN
ejpam-3818	263	214	6.41e-19	6.41e-19	PUNCT
ejpam-3818	263	215	act	act	NOUN
ejpam-3818	263	216	iv	iv	NUM
ejpam-3818	263	217	sg2000	sg2000	PROPN
ejpam-3818	263	218	2.64e+04	2.64e+04	NUM
ejpam-3818	263	219	2.57e-19	2.57e-19	NUM
ejpam-3818	263	220	2.29e-19	2.29e-19	NUM
ejpam-3818	263	221	1.08e-19	1.08e-19	NUM
ejpam-3818	263	222	0.30e-19	0.30e-19	NUM
ejpam-3818	263	223	3.25e-18	3.25e-18	NUM
ejpam-3818	263	224	2.74e-18	2.74e-18	NUM
ejpam-3818	263	225	1.27e-18	1.27e-18	NUM
ejpam-3818	263	226	0.69e-18	0.69e-18	NUM
ejpam-3818	263	227	3.27e-20	3.27e-20	NUM
ejpam-3818	263	228	2.95e-20	2.95e-20	NUM
ejpam-3818	263	229	1.72e-20	1.72e-20	NUM
ejpam-3818	263	230	1.30e-20	1.30e-20	NUM
ejpam-3818	263	231	9.25e-19	9.25e-19	NUM
ejpam-3818	263	232	9.74e-19	9.74e-19	NUM
ejpam-3818	263	233	8.27e-19	8.27e-19	NUM
ejpam-3818	263	234	8.69e-19	8.69e-19	NUM
ejpam-3818	263	235	bcsstk28	bcsstk28	NOUN
ejpam-3818	263	236	1.05e+09	1.05e+09	NUM
ejpam-3818	263	237	4.92e-19	4.92e-19	NUM
ejpam-3818	263	238	4.53e-19	4.53e-19	NUM
ejpam-3818	263	239	2.91e-19	2.91e-19	NUM
ejpam-3818	263	240	2.22e-19	2.22e-19	NUM
ejpam-3818	263	241	5.19e-17	5.19e-17	NUM
ejpam-3818	263	242	4.63e-17	4.63e-17	NUM
ejpam-3818	263	243	2.84e-17	2.84e-17	NUM
ejpam-3818	263	244	2.07e-17	2.07e-17	NUM
ejpam-3818	263	245	4.52e-20	4.52e-20	NUM
ejpam-3818	263	246	4.11e-20	4.11e-20	NUM
ejpam-3818	263	247	3.87e-20	3.87e-20	NUM
ejpam-3818	263	248	3.52e-20	3.52e-20	NUM
ejpam-3818	263	249	1.39e-18	1.39e-18	NUM
ejpam-3818	263	250	0.61e-18	0.61e-18	ADP
ejpam-3818	263	251	0.29e-18	0.29e-18	NUM
ejpam-3818	263	252	0.02e-18	0.02e-18	NUM
ejpam-3818	263	253	rdb5000	rdb5000	ADJ
ejpam-3818	264	1	5.28e+03	5.28e+03	NUM
ejpam-3818	264	2	6.21e-19	6.21e-19	PROPN
ejpam-3818	264	3	6.06e-19	6.06e-19	NUM
ejpam-3818	264	4	4.17e-19	4.17e-19	NUM
ejpam-3818	264	5	3.19e-19	3.19e-19	NUM
ejpam-3818	264	6	7.35e-17	7.35e-17	NUM
ejpam-3818	264	7	6.782e-17	6.782e-17	NUM
ejpam-3818	264	8	4.15e-17	4.15e-17	NUM
ejpam-3818	264	9	3.26e-17	3.26e-17	NUM
ejpam-3818	264	10	6.24e-20	6.24e-20	NUM
ejpam-3818	264	11	5.68e-20	5.68e-20	NUM
ejpam-3818	264	12	5.57e-20	5.57e-20	NUM
ejpam-3818	264	13	5.02e-20	5.02e-20	NUM
ejpam-3818	264	14	3.75e-18	3.75e-18	NUM
ejpam-3818	264	15	3.43e-18	3.43e-18	NUM
ejpam-3818	264	16	3.11e-18	3.11e-18	NUM
ejpam-3818	264	17	2.76e-18	2.76e-18	NUM
ejpam-3818	264	18	s3rmq4m1	s3rmq4m1	PROPN
ejpam-3818	264	19	1.12e+05	1.12e+05	NUM
ejpam-3818	264	20	8.79e-19	8.79e-19	NUM
ejpam-3818	264	21	8.53e-19	8.53e-19	NUM
ejpam-3818	264	22	7.42e-19	7.42e-19	NUM
ejpam-3818	264	23	6.61e-19	6.61e-19	NUM
ejpam-3818	264	24	8.87e-17	8.87e-17	NUM
ejpam-3818	264	25	8.24e-17	8.24e-17	NUM
ejpam-3818	264	26	7.53e-17	7.53e-17	NUM
ejpam-3818	264	27	6.55e-17	6.55e-17	NUM
ejpam-3818	264	28	7.39e-20	7.39e-20	NUM
ejpam-3818	264	29	6.87e-20	6.87e-20	NUM
ejpam-3818	264	30	6.42e-20	6.42e-20	NUM
ejpam-3818	264	31	5.81e-20	5.81e-20	NUM
ejpam-3818	264	32	7.12e-18	7.12e-18	NUM
ejpam-3818	264	33	6.93e-18	6.93e-18	NUM
ejpam-3818	264	34	6.73e-18	6.73e-18	NUM
ejpam-3818	264	35	6.21e-18	6.21e-18	NUM
ejpam-3818	264	36	c−32	c−32	ADJ
ejpam-3818	264	37	5.72e+04	5.72e+04	NUM
ejpam-3818	264	38	8.47e-19	8.47e-19	NUM
ejpam-3818	264	39	8.27e-19	8.27e-19	NUM
ejpam-3818	264	40	6.68e-19	6.68e-19	NUM
ejpam-3818	264	41	6.03e-19	6.03e-19	NUM
ejpam-3818	264	42	8.75e-17	8.75e-17	NUM
ejpam-3818	264	43	8.31e-17	8.31e-17	NUM
ejpam-3818	264	44	6.82e-17	6.82e-17	NUM
ejpam-3818	264	45	6.31e-17	6.31e-17	NUM
ejpam-3818	264	46	9.07e-20	9.07e-20	NUM
ejpam-3818	264	47	8.24e-20	8.24e-20	NUM
ejpam-3818	264	48	7.98e-20	7.98e-20	NUM
ejpam-3818	264	49	6.53e-20	6.53e-20	NUM
ejpam-3818	264	50	8.82e-18	8.82e-18	NUM
ejpam-3818	264	51	8.24e-18	8.24e-18	NUM
ejpam-3818	264	52	7.82e-18	7.82e-18	NUM
ejpam-3818	264	53	6.67e-18	6.67e-18	NUM
ejpam-3818	264	54	n3c6−b7	n3c6−b7	ADJ
ejpam-3818	264	55	226.89	226.89	NUM
ejpam-3818	264	56	9.98e-19	9.98e-19	NUM
ejpam-3818	264	57	9.74e-19	9.74e-19	NUM
ejpam-3818	264	58	8.83e-19	8.83e-19	NUM
ejpam-3818	264	59	8.06e-19	8.06e-19	NUM
ejpam-3818	264	60	9.92e-17	9.92e-17	NUM
ejpam-3818	264	61	9.51e-17	9.51e-17	NUM
ejpam-3818	264	62	8.91e-17	8.91e-17	NUM
ejpam-3818	264	63	8.69e-17	8.69e-17	NUM
ejpam-3818	264	64	9.58e-20	9.58e-20	NUM
ejpam-3818	264	65	9.13e-20	9.13e-20	NUM
ejpam-3818	264	66	8.38e-20	8.38e-20	NUM
ejpam-3818	264	67	7.73e-20	7.73e-20	NUM
ejpam-3818	264	68	9.13e-18	9.13e-18	NUM
ejpam-3818	264	69	8.76e-18	8.76e-18	NUM
ejpam-3818	264	70	8.43e-18	8.43e-18	NUM
ejpam-3818	264	71	8.01e-18	8.01e-18	NUM
ejpam-3818	264	72	kuu	kuu	NOUN
ejpam-3818	264	73	1.38e+03	1.38e+03	NUM
ejpam-3818	264	74	1.13e-18	1.13e-18	NUM
ejpam-3818	264	75	1.01e-18	1.01e-18	NUM
ejpam-3818	264	76	0.98e-18	0.98e-18	NUM
ejpam-3818	264	77	0.77e-18	0.77e-18	NUM
ejpam-3818	264	78	1.93e-16	1.93e-16	NUM
ejpam-3818	264	79	1.71e-16	1.71e-16	NUM
ejpam-3818	264	80	1.44e-16	1.44e-16	NUM
ejpam-3818	264	81	0.68e-16	0.68e-16	NUM
ejpam-3818	264	82	1.76e-19	1.76e-19	NUM
ejpam-3818	264	83	1.49e-19	1.49e-19	NUM
ejpam-3818	264	84	1.11e-19	1.11e-19	NUM
ejpam-3818	264	85	0.83e-19	0.83e-19	NUM
ejpam-3818	264	86	9.97e-18	9.97e-18	NUM
ejpam-3818	264	87	9.45e-18	9.45e-18	NUM
ejpam-3818	264	88	8.99e-18	8.99e-18	NUM
ejpam-3818	264	89	8.84e-18	8.84e-18	NUM
ejpam-3818	264	90	f	f	PROPN
ejpam-3818	265	1	p	p	X
ejpam-3818	265	2	3.41e+10	3.41e+10	NUM
ejpam-3818	265	3	2.29e-18	2.29e-18	NUM
ejpam-3818	265	4	2.05e-18	2.05e-18	NUM
ejpam-3818	265	5	1.59e-18	1.59e-18	NUM
ejpam-3818	265	6	1.37e-18	1.37e-18	NUM
ejpam-3818	265	7	2.82e-16	2.82e-16	NUM
ejpam-3818	265	8	2.12e-16	2.12e-16	NUM
ejpam-3818	265	9	1.82e-16	1.82e-16	NUM
ejpam-3818	265	10	1.47e-16	1.47e-16	NUM
ejpam-3818	265	11	2.56e-19	2.56e-19	NUM
ejpam-3818	265	12	2.17e-19	2.17e-19	NUM
ejpam-3818	265	13	1.76e-19	1.76e-19	NUM
ejpam-3818	265	14	1.27e-19	1.27e-19	NUM
ejpam-3818	265	15	0.92e-17	0.92e-17	NUM
ejpam-3818	265	16	0.58e-17	0.58e-17	NUM
ejpam-3818	265	17	0.35e-17	0.35e-17	NUM
ejpam-3818	265	18	0.07e-17	0.07e-17	NUM
ejpam-3818	265	19	bcsstk38	bcsstk38	ADJ
ejpam-3818	265	20	5.69e+11	5.69e+11	NUM
ejpam-3818	265	21	3.36e-18	3.36e-18	NUM
ejpam-3818	265	22	3.11e-18	3.11e-18	NUM
ejpam-3818	265	23	2.71e-18	2.71e-18	NUM
ejpam-3818	265	24	2.36e-18	2.36e-18	NUM
ejpam-3818	265	25	4.32e-16	4.32e-16	NUM
ejpam-3818	265	26	3.20e-16	3.20e-16	NUM
ejpam-3818	265	27	2.98e-16	2.98e-16	NUM
ejpam-3818	265	28	2.73e-16	2.73e-16	NUM
ejpam-3818	265	29	3.63e-19	3.63e-19	NUM
ejpam-3818	265	30	3.41e-19	3.41e-19	NUM
ejpam-3818	265	31	2.91e-19	2.91e-19	NUM
ejpam-3818	265	32	2.48e-19	2.48e-19	NUM
ejpam-3818	265	33	1.67e-17	1.67e-17	NUM
ejpam-3818	265	34	1.23e-17	1.23e-17	NUM
ejpam-3818	265	35	1.11e-17	1.11e-17	NUM
ejpam-3818	265	36	0.88e-17	0.88e-17	NUM
ejpam-3818	265	37	kau	kau	PROPN
ejpam-3818	265	38	f	f	PROPN
ejpam-3818	265	39	hold	hold	VERB
ejpam-3818	265	40	6.84e+16	6.84e+16	NUM
ejpam-3818	265	41	4.28e-18	4.28e-18	NUM
ejpam-3818	265	42	4.06e-18	4.06e-18	NUM
ejpam-3818	265	43	3.13e-18	3.13e-18	NUM
ejpam-3818	265	44	2.75e-18	2.75e-18	NUM
ejpam-3818	265	45	5.17e-16	5.17e-16	NUM
ejpam-3818	265	46	4.62e-16	4.62e-16	NUM
ejpam-3818	265	47	3.47e-16	3.47e-16	NUM
ejpam-3818	265	48	2.57e-16	2.57e-16	NUM
ejpam-3818	265	49	5.38e-19	5.38e-19	NUM
ejpam-3818	265	50	5.12e-19	5.12e-19	NUM
ejpam-3818	265	51	4.82e-19	4.82e-19	NUM
ejpam-3818	265	52	4.67e-19	4.67e-19	NUM
ejpam-3818	265	53	3.10e-17	3.10e-17	NUM
ejpam-3818	265	54	2.81e-17	2.81e-17	NUM
ejpam-3818	265	55	2.52e-17	2.52e-17	NUM
ejpam-3818	265	56	2.03e-17	2.03e-17	NUM
ejpam-3818	265	57	nd3k	nd3k	NOUN
ejpam-3818	265	58	5.01e+03	5.01e+03	PROPN
ejpam-3818	265	59	6.12e-18	6.12e-18	NUM
ejpam-3818	265	60	5.98e-18	5.98e-18	NUM
ejpam-3818	265	61	5.21e-18	5.21e-18	NUM
ejpam-3818	265	62	4.84e-18	4.84e-18	NUM
ejpam-3818	265	63	6.64e-16	6.64e-16	NUM
ejpam-3818	265	64	5.841e-16	5.841e-16	NUM
ejpam-3818	265	65	5.31e-16	5.31e-16	NUM
ejpam-3818	265	66	4.68e-16	4.68e-16	NUM
ejpam-3818	265	67	5.60e-19	5.60e-19	NUM
ejpam-3818	265	68	5.35e-19	5.35e-19	NUM
ejpam-3818	265	69	5.29e-19	5.29e-19	NUM
ejpam-3818	265	70	5.07e-19	5.07e-19	NUM
ejpam-3818	266	1	4.81e-17	4.81e-17	NUM
ejpam-3818	266	2	4.421e-17	4.421e-17	NUM
ejpam-3818	266	3	4.21e-17	4.21e-17	NUM
ejpam-3818	266	4	4.09e-17	4.09e-17	NUM
ejpam-3818	266	5	nemeth19	nemeth19	NOUN
ejpam-3818	266	6	63.50	63.50	NUM
ejpam-3818	266	7	7.02e-18	7.02e-18	NUM
ejpam-3818	266	8	6.86e-18	6.86e-18	NUM
ejpam-3818	266	9	6.12e-18	6.12e-18	NUM
ejpam-3818	266	10	5.77e-18	5.77e-18	NUM
ejpam-3818	266	11	7.78e-16	7.78e-16	NUM
ejpam-3818	266	12	6.67e-16	6.67e-16	NUM
ejpam-3818	266	13	6.29e-16	6.29e-16	NUM
ejpam-3818	266	14	5.08e-16	5.08e-16	NUM
ejpam-3818	266	15	6.82e-19	6.82e-19	NUM
ejpam-3818	266	16	6.54e-19	6.54e-19	NUM
ejpam-3818	266	17	6.09e-19	6.09e-19	NUM
ejpam-3818	266	18	5.81e-19	5.81e-19	NUM
ejpam-3818	266	19	6.23e-17	6.23e-17	NUM
ejpam-3818	266	20	6.01e-17	6.01e-17	NUM
ejpam-3818	266	21	5.79e-17	5.79e-17	NUM
ejpam-3818	266	22	5.53e-17	5.53e-17	NUM
ejpam-3818	266	23	cryg10000	cryg10000	PROPN
ejpam-3818	266	24	3.42e+05	3.42e+05	NUM
ejpam-3818	266	25	7.54e-18	7.54e-18	NUM
ejpam-3818	266	26	7.32e-18	7.32e-18	NUM
ejpam-3818	266	27	6.71e-18	6.71e-18	NUM
ejpam-3818	266	28	6.16e-18	6.16e-18	NUM
ejpam-3818	266	29	7.38e-16	7.38e-16	NUM
ejpam-3818	266	30	7.15e-16	7.15e-16	NUM
ejpam-3818	266	31	6.94e-16	6.94e-16	NUM
ejpam-3818	266	32	6.74e-16	6.74e-16	NUM
ejpam-3818	266	33	8.76e-19	8.76e-19	NUM
ejpam-3818	266	34	8.42e-19	8.42e-19	NUM
ejpam-3818	266	35	7.81e-19	7.81e-19	NUM
ejpam-3818	266	36	7.37e-19	7.37e-19	NUM
ejpam-3818	266	37	7.67e-17	7.67e-17	NUM
ejpam-3818	266	38	7.18e-17	7.18e-17	NUM
ejpam-3818	266	39	6.92e-17	6.92e-17	NUM
ejpam-3818	266	40	6.68e-17	6.68e-17	NUM
ejpam-3818	266	41	bundle1	bundle1	NOUN
ejpam-3818	267	1	2.36e+13	2.36e+13	NUM
ejpam-3818	267	2	9.01e-18	9.01e-18	NUM
ejpam-3818	267	3	8.83e-18	8.83e-18	NUM
ejpam-3818	267	4	8.11e-18	8.11e-18	NUM
ejpam-3818	267	5	7.71e-18	7.71e-18	NUM
ejpam-3818	267	6	9.26e-16	9.26e-16	NUM
ejpam-3818	267	7	8.21e-16	8.21e-16	NUM
ejpam-3818	267	8	8.52e-16	8.52e-16	NUM
ejpam-3818	267	9	7.82e-16	7.82e-16	NUM
ejpam-3818	267	10	9.86e-19	9.86e-19	NUM
ejpam-3818	267	11	9.26e-19	9.26e-19	NUM
ejpam-3818	267	12	8.82e-19	8.82e-19	NUM
ejpam-3818	267	13	8.51e-19	8.51e-19	NUM
ejpam-3818	267	14	8.54e-17	8.54e-17	NUM
ejpam-3818	267	15	8.24e-17	8.24e-17	NUM
ejpam-3818	267	16	8.07e-17	8.07e-17	NUM
ejpam-3818	267	17	7.81e-17	7.81e-17	NUM
ejpam-3818	267	18	wing	wing	NOUN
ejpam-3818	267	19	nodal	nodal	NOUN
ejpam-3818	267	20	388.56	388.56	NUM
ejpam-3818	267	21	9.54e-18	9.54e-18	NUM
ejpam-3818	267	22	9.24e-18	9.24e-18	NUM
ejpam-3818	267	23	8.31e-18	8.31e-18	NUM
ejpam-3818	267	24	8.08e-18	8.08e-18	NUM
ejpam-3818	267	25	1.81e-15	1.81e-15	NUM
ejpam-3818	267	26	1.70e-15	1.70e-15	NUM
ejpam-3818	267	27	1.34e-15	1.34e-15	NUM
ejpam-3818	267	28	1.11e-15	1.11e-15	NUM
ejpam-3818	267	29	1.64e-18	1.64e-18	NUM
ejpam-3818	267	30	1.34e-18	1.34e-18	NUM
ejpam-3818	267	31	1.21e-18	1.21e-18	NUM
ejpam-3818	267	32	1.08e-18	1.08e-18	NUM
ejpam-3818	267	33	9.86e-17	9.86e-17	NUM
ejpam-3818	267	34	9.68e-17	9.68e-17	NUM
ejpam-3818	267	35	9.37e-17	9.37e-17	NUM
ejpam-3818	267	36	9.12e-17	9.12e-17	NUM
ejpam-3818	267	37	o.	o.	NOUN
ejpam-3818	267	38	babarinsa	babarinsa	PROPN
ejpam-3818	267	39	et	et	PROPN
ejpam-3818	267	40	al	al	PROPN
ejpam-3818	267	41	.	.	PUNCT
ejpam-3818	267	42	/	/	SYM
ejpam-3818	267	43	eur	eur	PROPN
ejpam-3818	267	44	.	.	PUNCT
ejpam-3818	268	1	j.	j.	PROPN
ejpam-3818	268	2	pure	pure	PROPN
ejpam-3818	268	3	appl	appl	PROPN
ejpam-3818	268	4	.	.	PROPN
ejpam-3818	268	5	math	math	PROPN
ejpam-3818	268	6	,	,	PUNCT
ejpam-3818	268	7	13	13	NUM
ejpam-3818	268	8	(	(	PUNCT
ejpam-3818	268	9	4	4	NUM
ejpam-3818	268	10	)	)	PUNCT
ejpam-3818	268	11	(	(	PUNCT
ejpam-3818	268	12	2020	2020	NUM
ejpam-3818	268	13	)	)	PUNCT
ejpam-3818	268	14	,	,	PUNCT
ejpam-3818	268	15	1035	1035	NUM
ejpam-3818	268	16	-	-	SYM
ejpam-3818	268	17	1054	1054	NUM
ejpam-3818	268	18	1046	1046	NUM
ejpam-3818	268	19	0	0	NUM
ejpam-3818	268	20	2000	2000	NUM
ejpam-3818	268	21	4000	4000	NUM
ejpam-3818	268	22	6000	6000	NUM
ejpam-3818	268	23	8000	8000	NUM
ejpam-3818	268	24	10000	10000	NUM
ejpam-3818	268	25	12000	12000	NUM
ejpam-3818	268	26	matrix	matrix	NOUN
ejpam-3818	268	27	size	size	NOUN
ejpam-3818	268	28	(	(	PUNCT
ejpam-3818	268	29	n	n	CCONJ
ejpam-3818	268	30	)	)	PUNCT
ejpam-3818	268	31	0	0	NUM
ejpam-3818	268	32	0.5	0.5	NUM
ejpam-3818	268	33	1	1	NUM
ejpam-3818	268	34	1.5	1.5	NUM
ejpam-3818	268	35	2	2	NUM
ejpam-3818	268	36	2.5	2.5	NUM
ejpam-3818	268	37	3	3	NUM
ejpam-3818	268	38	3.5	3.5	NUM
ejpam-3818	268	39	4	4	NUM
ejpam-3818	269	1	p	p	NOUN
ejpam-3818	269	2	e	e	NOUN
ejpam-3818	269	3	r	r	NOUN
ejpam-3818	269	4	f	f	NOUN
ejpam-3818	269	5	o	o	NOUN
ejpam-3818	269	6	r	r	NOUN
ejpam-3818	269	7	m	m	VERB
ejpam-3818	269	8	a	a	PRON
ejpam-3818	269	9	n	n	NOUN
ejpam-3818	269	10	c	c	NOUN
ejpam-3818	269	11	e	e	NOUN
ejpam-3818	269	12	t	t	NOUN
ejpam-3818	270	1	i	i	PRON
ejpam-3818	270	2	m	m	VERB
ejpam-3818	270	3	e	e	X
ejpam-3818	270	4	(	(	PUNCT
ejpam-3818	270	5	s	s	NOUN
ejpam-3818	270	6	)	)	PUNCT
ejpam-3818	270	7	104	104	NUM
ejpam-3818	270	8	matlab	matlab	PROPN
ejpam-3818	270	9	r2017b	r2017b	PROPN
ejpam-3818	270	10	on	on	ADP
ejpam-3818	270	11	amd	amd	PROPN
ejpam-3818	270	12	lu	lu	PROPN
ejpam-3818	270	13	wz	wz	PROPN
ejpam-3818	270	14	vwz	vwz	PROPN
ejpam-3818	270	15	w	w	PROPN
ejpam-3818	270	16	o	o	PROPN
ejpam-3818	270	17	z	z	NOUN
ejpam-3818	270	18	o	o	NOUN
ejpam-3818	270	19	0	0	NUM
ejpam-3818	270	20	2000	2000	NUM
ejpam-3818	270	21	4000	4000	NUM
ejpam-3818	270	22	6000	6000	NUM
ejpam-3818	270	23	8000	8000	NUM
ejpam-3818	270	24	10000	10000	NUM
ejpam-3818	270	25	12000	12000	NUM
ejpam-3818	270	26	matrix	matrix	NOUN
ejpam-3818	270	27	size	size	NOUN
ejpam-3818	270	28	(	(	PUNCT
ejpam-3818	270	29	n	n	CCONJ
ejpam-3818	270	30	)	)	PUNCT
ejpam-3818	270	31	0	0	NUM
ejpam-3818	270	32	0.5	0.5	NUM
ejpam-3818	270	33	1	1	NUM
ejpam-3818	270	34	1.5	1.5	NUM
ejpam-3818	270	35	2	2	NUM
ejpam-3818	270	36	2.5	2.5	NUM
ejpam-3818	270	37	3	3	NUM
ejpam-3818	270	38	3.5	3.5	NUM
ejpam-3818	270	39	p	p	NOUN
ejpam-3818	271	1	e	e	NOUN
ejpam-3818	271	2	r	r	NOUN
ejpam-3818	271	3	f	f	NOUN
ejpam-3818	271	4	o	o	NOUN
ejpam-3818	271	5	r	r	NOUN
ejpam-3818	271	6	m	m	VERB
ejpam-3818	271	7	a	a	PRON
ejpam-3818	271	8	n	n	NOUN
ejpam-3818	271	9	c	c	NOUN
ejpam-3818	271	10	e	e	NOUN
ejpam-3818	271	11	t	t	NOUN
ejpam-3818	272	1	i	i	PRON
ejpam-3818	272	2	m	m	VERB
ejpam-3818	272	3	e	e	X
ejpam-3818	272	4	(	(	PUNCT
ejpam-3818	272	5	s	s	NOUN
ejpam-3818	272	6	)	)	PUNCT
ejpam-3818	272	7	104	104	NUM
ejpam-3818	272	8	matlab	matlab	NOUN
ejpam-3818	272	9	r2019b	r2019b	X
ejpam-3818	272	10	on	on	ADP
ejpam-3818	272	11	amd	amd	PROPN
ejpam-3818	272	12	lu	lu	PROPN
ejpam-3818	272	13	wz	wz	PROPN
ejpam-3818	272	14	vwz	vwz	PROPN
ejpam-3818	272	15	w	w	PROPN
ejpam-3818	273	1	o	o	PROPN
ejpam-3818	273	2	z	z	X
ejpam-3818	273	3	o	o	X
ejpam-3818	273	4	matlab	matlab	PROPN
ejpam-3818	273	5	r2017b	r2017b	PROPN
ejpam-3818	273	6	on	on	ADP
ejpam-3818	273	7	amd	amd	PROPN
ejpam-3818	273	8	processor	processor	NOUN
ejpam-3818	273	9	.	.	PUNCT
ejpam-3818	274	1	matlab	matlab	PROPN
ejpam-3818	274	2	r2019b	r2019b	X
ejpam-3818	274	3	on	on	ADP
ejpam-3818	274	4	amd	amd	NOUN
ejpam-3818	274	5	processor	processor	NOUN
ejpam-3818	274	6	.	.	PUNCT
ejpam-3818	275	1	0	0	NUM
ejpam-3818	276	1	2000	2000	NUM
ejpam-3818	276	2	4000	4000	NUM
ejpam-3818	276	3	6000	6000	NUM
ejpam-3818	276	4	8000	8000	NUM
ejpam-3818	276	5	10000	10000	NUM
ejpam-3818	276	6	12000	12000	NUM
ejpam-3818	276	7	matrix	matrix	NOUN
ejpam-3818	276	8	size	size	NOUN
ejpam-3818	276	9	(	(	PUNCT
ejpam-3818	276	10	n	n	CCONJ
ejpam-3818	276	11	)	)	PUNCT
ejpam-3818	276	12	0	0	NUM
ejpam-3818	276	13	0.5	0.5	NUM
ejpam-3818	276	14	1	1	NUM
ejpam-3818	276	15	1.5	1.5	NUM
ejpam-3818	276	16	2	2	NUM
ejpam-3818	276	17	2.5	2.5	NUM
ejpam-3818	276	18	3	3	NUM
ejpam-3818	276	19	3.5	3.5	NUM
ejpam-3818	276	20	p	p	NOUN
ejpam-3818	276	21	e	e	NOUN
ejpam-3818	276	22	r	r	NOUN
ejpam-3818	276	23	f	f	NOUN
ejpam-3818	276	24	o	o	NOUN
ejpam-3818	276	25	r	r	NOUN
ejpam-3818	276	26	m	m	VERB
ejpam-3818	276	27	a	a	PRON
ejpam-3818	276	28	n	n	NOUN
ejpam-3818	276	29	c	c	NOUN
ejpam-3818	276	30	e	e	NOUN
ejpam-3818	276	31	t	t	NOUN
ejpam-3818	277	1	i	i	PRON
ejpam-3818	277	2	m	m	VERB
ejpam-3818	277	3	e	e	X
ejpam-3818	277	4	(	(	PUNCT
ejpam-3818	277	5	s	s	NOUN
ejpam-3818	277	6	)	)	PUNCT
ejpam-3818	277	7	104	104	NUM
ejpam-3818	277	8	matlab	matlab	PROPN
ejpam-3818	277	9	r2017b	r2017b	PROPN
ejpam-3818	277	10	on	on	ADP
ejpam-3818	277	11	intel	intel	PROPN
ejpam-3818	277	12	lu	lu	PROPN
ejpam-3818	277	13	wz	wz	PROPN
ejpam-3818	277	14	vwz	vwz	PROPN
ejpam-3818	277	15	w	w	PROPN
ejpam-3818	277	16	o	o	PROPN
ejpam-3818	277	17	z	z	NOUN
ejpam-3818	277	18	o	o	NOUN
ejpam-3818	277	19	0	0	NUM
ejpam-3818	277	20	2000	2000	NUM
ejpam-3818	277	21	4000	4000	NUM
ejpam-3818	277	22	6000	6000	NUM
ejpam-3818	277	23	8000	8000	NUM
ejpam-3818	277	24	10000	10000	NUM
ejpam-3818	277	25	12000	12000	NUM
ejpam-3818	277	26	matrix	matrix	NOUN
ejpam-3818	277	27	size	size	NOUN
ejpam-3818	277	28	(	(	PUNCT
ejpam-3818	277	29	n	n	CCONJ
ejpam-3818	277	30	)	)	PUNCT
ejpam-3818	277	31	0	0	NUM
ejpam-3818	277	32	0.5	0.5	NUM
ejpam-3818	277	33	1	1	NUM
ejpam-3818	277	34	1.5	1.5	NUM
ejpam-3818	277	35	2	2	NUM
ejpam-3818	277	36	2.5	2.5	NUM
ejpam-3818	277	37	3	3	NUM
ejpam-3818	278	1	p	p	NOUN
ejpam-3818	278	2	e	e	NOUN
ejpam-3818	278	3	r	r	NOUN
ejpam-3818	278	4	f	f	NOUN
ejpam-3818	278	5	o	o	NOUN
ejpam-3818	278	6	r	r	NOUN
ejpam-3818	278	7	m	m	VERB
ejpam-3818	278	8	a	a	PRON
ejpam-3818	278	9	n	n	NOUN
ejpam-3818	278	10	c	c	NOUN
ejpam-3818	278	11	e	e	NOUN
ejpam-3818	278	12	t	t	NOUN
ejpam-3818	279	1	i	i	PRON
ejpam-3818	279	2	m	m	VERB
ejpam-3818	279	3	e	e	X
ejpam-3818	279	4	(	(	PUNCT
ejpam-3818	279	5	s	s	NOUN
ejpam-3818	279	6	)	)	PUNCT
ejpam-3818	279	7	104	104	NUM
ejpam-3818	279	8	matlab	matlab	NOUN
ejpam-3818	279	9	r2019b	r2019b	X
ejpam-3818	279	10	on	on	ADP
ejpam-3818	279	11	intel	intel	PROPN
ejpam-3818	279	12	lu	lu	PROPN
ejpam-3818	279	13	wz	wz	PROPN
ejpam-3818	279	14	vwz	vwz	PROPN
ejpam-3818	279	15	w	w	PROPN
ejpam-3818	279	16	o	o	PROPN
ejpam-3818	279	17	z	z	X
ejpam-3818	279	18	o	o	X
ejpam-3818	279	19	matlab	matlab	PROPN
ejpam-3818	279	20	r2017b	r2017b	PROPN
ejpam-3818	279	21	on	on	ADP
ejpam-3818	279	22	intel	intel	PROPN
ejpam-3818	279	23	processor	processor	NOUN
ejpam-3818	279	24	.	.	PUNCT
ejpam-3818	280	1	matlab	matlab	PROPN
ejpam-3818	280	2	r2019b	r2019b	X
ejpam-3818	280	3	on	on	ADP
ejpam-3818	280	4	intel	intel	PROPN
ejpam-3818	280	5	processor	processor	NOUN
ejpam-3818	280	6	.	.	PUNCT
ejpam-3818	281	1	figure	figure	NOUN
ejpam-3818	281	2	2	2	NUM
ejpam-3818	281	3	:	:	PUNCT
ejpam-3818	281	4	performance	performance	NOUN
ejpam-3818	281	5	time	time	NOUN
ejpam-3818	281	6	of	of	ADP
ejpam-3818	281	7	lu	lu	PROPN
ejpam-3818	281	8	,	,	PUNCT
ejpam-3818	281	9	wz	wz	PROPN
ejpam-3818	281	10	,	,	PUNCT
ejpam-3818	281	11	vwz	vwz	PROPN
ejpam-3818	281	12	and	and	CCONJ
ejpam-3818	281	13	w	w	PROPN
ejpam-3818	281	14	ozo	ozo	PROPN
ejpam-3818	281	15	factorization	factorization	NOUN
ejpam-3818	281	16	on	on	ADP
ejpam-3818	281	17	amd	amd	PROPN
ejpam-3818	281	18	and	and	CCONJ
ejpam-3818	281	19	intel	intel	PROPN
ejpam-3818	281	20	processor	processor	NOUN
ejpam-3818	281	21	via	via	ADP
ejpam-3818	281	22	matlab	matlab	PROPN
ejpam-3818	281	23	r2017b	r2017b	PROPN
ejpam-3818	281	24	and	and	CCONJ
ejpam-3818	281	25	r2019b	r2019b	PRON
ejpam-3818	281	26	respectively	respectively	ADV
ejpam-3818	281	27	.	.	PUNCT
ejpam-3818	282	1	o.	o.	PROPN
ejpam-3818	282	2	babarinsa	babarinsa	PROPN
ejpam-3818	282	3	et	et	PROPN
ejpam-3818	282	4	al	al	PROPN
ejpam-3818	282	5	.	.	PUNCT
ejpam-3818	282	6	/	/	SYM
ejpam-3818	282	7	eur	eur	PROPN
ejpam-3818	282	8	.	.	PUNCT
ejpam-3818	283	1	j.	j.	PROPN
ejpam-3818	283	2	pure	pure	PROPN
ejpam-3818	283	3	appl	appl	PROPN
ejpam-3818	283	4	.	.	PROPN
ejpam-3818	283	5	math	math	PROPN
ejpam-3818	283	6	,	,	PUNCT
ejpam-3818	283	7	13	13	NUM
ejpam-3818	283	8	(	(	PUNCT
ejpam-3818	283	9	4	4	NUM
ejpam-3818	283	10	)	)	PUNCT
ejpam-3818	283	11	(	(	PUNCT
ejpam-3818	283	12	2020	2020	NUM
ejpam-3818	283	13	)	)	PUNCT
ejpam-3818	283	14	,	,	PUNCT
ejpam-3818	283	15	1035	1035	NUM
ejpam-3818	283	16	-	-	SYM
ejpam-3818	283	17	1054	1054	NUM
ejpam-3818	283	18	1047	1047	NUM
ejpam-3818	283	19	0	0	NUM
ejpam-3818	283	20	2000	2000	NUM
ejpam-3818	283	21	4000	4000	NUM
ejpam-3818	283	22	6000	6000	NUM
ejpam-3818	283	23	8000	8000	NUM
ejpam-3818	283	24	10000	10000	NUM
ejpam-3818	283	25	12000	12000	NUM
ejpam-3818	283	26	matrix	matrix	NOUN
ejpam-3818	283	27	size	size	NOUN
ejpam-3818	283	28	(	(	PUNCT
ejpam-3818	283	29	n	n	CCONJ
ejpam-3818	283	30	)	)	PUNCT
ejpam-3818	283	31	0	0	NUM
ejpam-3818	283	32	0.5	0.5	NUM
ejpam-3818	283	33	1	1	NUM
ejpam-3818	283	34	1.5	1.5	NUM
ejpam-3818	283	35	2	2	NUM
ejpam-3818	283	36	2.5	2.5	NUM
ejpam-3818	283	37	3	3	NUM
ejpam-3818	283	38	3.5	3.5	NUM
ejpam-3818	283	39	4	4	NUM
ejpam-3818	284	1	p	p	NOUN
ejpam-3818	284	2	e	e	NOUN
ejpam-3818	284	3	r	r	NOUN
ejpam-3818	284	4	f	f	NOUN
ejpam-3818	284	5	o	o	NOUN
ejpam-3818	284	6	r	r	NOUN
ejpam-3818	284	7	m	m	VERB
ejpam-3818	284	8	a	a	PRON
ejpam-3818	284	9	n	n	NOUN
ejpam-3818	284	10	c	c	NOUN
ejpam-3818	284	11	e	e	NOUN
ejpam-3818	284	12	t	t	NOUN
ejpam-3818	285	1	i	i	PRON
ejpam-3818	285	2	m	m	VERB
ejpam-3818	285	3	e	e	X
ejpam-3818	285	4	(	(	PUNCT
ejpam-3818	285	5	s	s	NOUN
ejpam-3818	285	6	)	)	PUNCT
ejpam-3818	285	7	104	104	NUM
ejpam-3818	285	8	lu	lu	NOUN
ejpam-3818	285	9	factorization	factorization	NOUN
ejpam-3818	285	10	on	on	ADP
ejpam-3818	285	11	amd	amd	PROPN
ejpam-3818	285	12	&	&	CCONJ
ejpam-3818	285	13	intel	intel	PROPN
ejpam-3818	285	14	via	via	ADP
ejpam-3818	285	15	matlab	matlab	PROPN
ejpam-3818	285	16	r2017b	r2017b	PROPN
ejpam-3818	285	17	and	and	CCONJ
ejpam-3818	285	18	r2019b	r2019b	PRON
ejpam-3818	285	19	r2017b	r2017b	PROPN
ejpam-3818	285	20	amd	amd	NOUN
ejpam-3818	286	1	lu	lu	PROPN
ejpam-3818	287	1	r2019b	r2019b	PRON
ejpam-3818	288	1	amd	amd	PROPN
ejpam-3818	288	2	lu	lu	PROPN
ejpam-3818	288	3	r2017b	r2017b	PROPN
ejpam-3818	288	4	intel	intel	PROPN
ejpam-3818	288	5	lu	lu	PROPN
ejpam-3818	288	6	r2019b	r2019b	PROPN
ejpam-3818	288	7	intel	intel	PROPN
ejpam-3818	288	8	lu	lu	PROPN
ejpam-3818	288	9	0	0	NUM
ejpam-3818	288	10	2000	2000	NUM
ejpam-3818	288	11	4000	4000	NUM
ejpam-3818	288	12	6000	6000	NUM
ejpam-3818	288	13	8000	8000	NUM
ejpam-3818	288	14	10000	10000	NUM
ejpam-3818	288	15	12000	12000	NUM
ejpam-3818	288	16	matrix	matrix	NOUN
ejpam-3818	288	17	size	size	NOUN
ejpam-3818	288	18	(	(	PUNCT
ejpam-3818	288	19	n	n	CCONJ
ejpam-3818	288	20	)	)	PUNCT
ejpam-3818	288	21	0	0	NUM
ejpam-3818	288	22	0.5	0.5	NUM
ejpam-3818	288	23	1	1	NUM
ejpam-3818	288	24	1.5	1.5	NUM
ejpam-3818	288	25	2	2	NUM
ejpam-3818	288	26	2.5	2.5	NUM
ejpam-3818	288	27	3	3	NUM
ejpam-3818	288	28	3.5	3.5	NUM
ejpam-3818	288	29	4	4	NUM
ejpam-3818	288	30	p	p	NOUN
ejpam-3818	288	31	e	e	NOUN
ejpam-3818	288	32	r	r	NOUN
ejpam-3818	288	33	f	f	NOUN
ejpam-3818	288	34	o	o	NOUN
ejpam-3818	288	35	r	r	NOUN
ejpam-3818	288	36	m	m	VERB
ejpam-3818	288	37	a	a	PRON
ejpam-3818	288	38	n	n	NOUN
ejpam-3818	288	39	c	c	NOUN
ejpam-3818	288	40	e	e	NOUN
ejpam-3818	288	41	t	t	NOUN
ejpam-3818	289	1	i	i	PRON
ejpam-3818	289	2	m	m	VERB
ejpam-3818	289	3	e	e	X
ejpam-3818	289	4	(	(	PUNCT
ejpam-3818	289	5	s	s	NOUN
ejpam-3818	289	6	)	)	PUNCT
ejpam-3818	289	7	104	104	NUM
ejpam-3818	289	8	wz	wz	ADP
ejpam-3818	289	9	factorization	factorization	NOUN
ejpam-3818	289	10	on	on	ADP
ejpam-3818	289	11	amd	amd	PROPN
ejpam-3818	289	12	&	&	CCONJ
ejpam-3818	289	13	intel	intel	PROPN
ejpam-3818	289	14	via	via	ADP
ejpam-3818	289	15	matlab	matlab	PROPN
ejpam-3818	289	16	r2017b	r2017b	PROPN
ejpam-3818	289	17	and	and	CCONJ
ejpam-3818	289	18	r2019b	r2019b	PRON
ejpam-3818	289	19	r2017b	r2017b	PROPN
ejpam-3818	289	20	amd	amd	NOUN
ejpam-3818	289	21	wz	wz	ADP
ejpam-3818	289	22	r2019b	r2019b	PRON
ejpam-3818	289	23	amd	amd	PROPN
ejpam-3818	289	24	wz	wz	PROPN
ejpam-3818	289	25	r2017b	r2017b	PROPN
ejpam-3818	289	26	intel	intel	PROPN
ejpam-3818	289	27	wz	wz	PROPN
ejpam-3818	289	28	r2019b	r2019b	DET
ejpam-3818	289	29	intel	intel	PROPN
ejpam-3818	289	30	wz	wz	AUX
ejpam-3818	289	31	lu	lu	PROPN
ejpam-3818	289	32	on	on	ADP
ejpam-3818	289	33	amd	amd	NOUN
ejpam-3818	289	34	and	and	CCONJ
ejpam-3818	289	35	intel	intel	PROPN
ejpam-3818	289	36	processor	processor	NOUN
ejpam-3818	289	37	.	.	PUNCT
ejpam-3818	290	1	wz	wz	VERB
ejpam-3818	290	2	on	on	ADP
ejpam-3818	290	3	amd	amd	PROPN
ejpam-3818	290	4	and	and	CCONJ
ejpam-3818	290	5	intel	intel	PROPN
ejpam-3818	290	6	processor	processor	NOUN
ejpam-3818	290	7	.	.	PUNCT
ejpam-3818	290	8	0	0	NUM
ejpam-3818	291	1	2000	2000	NUM
ejpam-3818	291	2	4000	4000	NUM
ejpam-3818	291	3	6000	6000	NUM
ejpam-3818	291	4	8000	8000	NUM
ejpam-3818	291	5	10000	10000	NUM
ejpam-3818	291	6	12000	12000	NUM
ejpam-3818	291	7	matrix	matrix	NOUN
ejpam-3818	291	8	size	size	NOUN
ejpam-3818	291	9	(	(	PUNCT
ejpam-3818	291	10	n	n	CCONJ
ejpam-3818	291	11	)	)	PUNCT
ejpam-3818	291	12	0	0	NUM
ejpam-3818	291	13	0.5	0.5	NUM
ejpam-3818	291	14	1	1	NUM
ejpam-3818	291	15	1.5	1.5	NUM
ejpam-3818	291	16	2	2	NUM
ejpam-3818	291	17	2.5	2.5	NUM
ejpam-3818	291	18	p	p	NOUN
ejpam-3818	292	1	e	e	NOUN
ejpam-3818	292	2	r	r	NOUN
ejpam-3818	292	3	f	f	NOUN
ejpam-3818	292	4	o	o	NOUN
ejpam-3818	292	5	r	r	NOUN
ejpam-3818	292	6	m	m	VERB
ejpam-3818	292	7	a	a	PRON
ejpam-3818	292	8	n	n	NOUN
ejpam-3818	292	9	c	c	NOUN
ejpam-3818	292	10	e	e	NOUN
ejpam-3818	292	11	t	t	NOUN
ejpam-3818	293	1	i	i	PRON
ejpam-3818	293	2	m	m	VERB
ejpam-3818	293	3	e	e	X
ejpam-3818	293	4	(	(	PUNCT
ejpam-3818	293	5	s	s	NOUN
ejpam-3818	293	6	)	)	PUNCT
ejpam-3818	293	7	104	104	NUM
ejpam-3818	293	8	vwz	vwz	NOUN
ejpam-3818	293	9	factorization	factorization	NOUN
ejpam-3818	293	10	on	on	ADP
ejpam-3818	293	11	amd	amd	PROPN
ejpam-3818	293	12	&	&	CCONJ
ejpam-3818	293	13	intel	intel	PROPN
ejpam-3818	293	14	via	via	ADP
ejpam-3818	293	15	matlab	matlab	PROPN
ejpam-3818	293	16	r2017b	r2017b	PROPN
ejpam-3818	293	17	and	and	CCONJ
ejpam-3818	293	18	r2019b	r2019b	PRON
ejpam-3818	293	19	r2017b	r2017b	PROPN
ejpam-3818	293	20	amd	amd	PROPN
ejpam-3818	293	21	vwz	vwz	PROPN
ejpam-3818	293	22	r2019b	r2019b	X
ejpam-3818	294	1	amd	amd	PROPN
ejpam-3818	294	2	vwz	vwz	PROPN
ejpam-3818	294	3	r2017b	r2017b	PROPN
ejpam-3818	294	4	intel	intel	PROPN
ejpam-3818	294	5	vwz	vwz	PROPN
ejpam-3818	294	6	r2019b	r2019b	PROPN
ejpam-3818	294	7	intel	intel	PROPN
ejpam-3818	294	8	vwz	vwz	NOUN
ejpam-3818	294	9	0	0	NUM
ejpam-3818	294	10	2000	2000	NUM
ejpam-3818	294	11	4000	4000	NUM
ejpam-3818	294	12	6000	6000	NUM
ejpam-3818	294	13	8000	8000	NUM
ejpam-3818	294	14	10000	10000	NUM
ejpam-3818	294	15	12000	12000	NUM
ejpam-3818	294	16	matrix	matrix	NOUN
ejpam-3818	294	17	size	size	NOUN
ejpam-3818	294	18	(	(	PUNCT
ejpam-3818	294	19	n	n	CCONJ
ejpam-3818	294	20	)	)	PUNCT
ejpam-3818	294	21	0	0	NUM
ejpam-3818	294	22	0.5	0.5	NUM
ejpam-3818	294	23	1	1	NUM
ejpam-3818	294	24	1.5	1.5	NUM
ejpam-3818	294	25	2	2	NUM
ejpam-3818	294	26	2.5	2.5	NUM
ejpam-3818	294	27	3	3	NUM
ejpam-3818	294	28	p	p	NOUN
ejpam-3818	294	29	e	e	NOUN
ejpam-3818	294	30	r	r	NOUN
ejpam-3818	294	31	f	f	NOUN
ejpam-3818	295	1	o	o	NOUN
ejpam-3818	295	2	r	r	NOUN
ejpam-3818	295	3	m	m	VERB
ejpam-3818	295	4	a	a	PRON
ejpam-3818	295	5	n	n	NOUN
ejpam-3818	295	6	c	c	NOUN
ejpam-3818	295	7	e	e	NOUN
ejpam-3818	295	8	t	t	NOUN
ejpam-3818	296	1	i	i	PRON
ejpam-3818	296	2	m	m	VERB
ejpam-3818	296	3	e	e	X
ejpam-3818	296	4	(	(	PUNCT
ejpam-3818	296	5	s	s	NOUN
ejpam-3818	296	6	)	)	PUNCT
ejpam-3818	296	7	104	104	NUM
ejpam-3818	296	8	w	w	NOUN
ejpam-3818	296	9	o	o	X
ejpam-3818	296	10	z	z	NOUN
ejpam-3818	296	11	o	o	NOUN
ejpam-3818	296	12	factorization	factorization	NOUN
ejpam-3818	296	13	on	on	ADP
ejpam-3818	296	14	amd	amd	PROPN
ejpam-3818	296	15	&	&	CCONJ
ejpam-3818	296	16	intel	intel	PROPN
ejpam-3818	296	17	via	via	ADP
ejpam-3818	296	18	matlab	matlab	PROPN
ejpam-3818	296	19	r2017b	r2017b	PROPN
ejpam-3818	296	20	and	and	CCONJ
ejpam-3818	296	21	r2019b	r2019b	PRON
ejpam-3818	296	22	r2017b	r2017b	PROPN
ejpam-3818	296	23	amd	amd	PROPN
ejpam-3818	296	24	w	w	NOUN
ejpam-3818	296	25	o	o	PROPN
ejpam-3818	296	26	z	z	NOUN
ejpam-3818	296	27	o	o	NOUN
ejpam-3818	297	1	r2019b	r2019b	X
ejpam-3818	297	2	amd	amd	ADJ
ejpam-3818	297	3	w	w	NOUN
ejpam-3818	297	4	o	o	PROPN
ejpam-3818	297	5	z	z	NOUN
ejpam-3818	297	6	o	o	NOUN
ejpam-3818	297	7	r2017b	r2017b	PROPN
ejpam-3818	297	8	intel	intel	PROPN
ejpam-3818	297	9	w	w	PROPN
ejpam-3818	297	10	o	o	PROPN
ejpam-3818	297	11	z	z	NOUN
ejpam-3818	297	12	o	o	NOUN
ejpam-3818	298	1	r2019b	r2019b	DET
ejpam-3818	298	2	intel	intel	PROPN
ejpam-3818	298	3	w	w	PROPN
ejpam-3818	298	4	o	o	PROPN
ejpam-3818	298	5	z	z	X
ejpam-3818	298	6	o	o	NOUN
ejpam-3818	298	7	vwz	vwz	NOUN
ejpam-3818	298	8	on	on	ADP
ejpam-3818	298	9	amd	amd	PROPN
ejpam-3818	298	10	and	and	CCONJ
ejpam-3818	298	11	intel	intel	PROPN
ejpam-3818	298	12	processor	processor	NOUN
ejpam-3818	298	13	.	.	PUNCT
ejpam-3818	299	1	w	w	PROPN
ejpam-3818	299	2	ozo	ozo	PROPN
ejpam-3818	299	3	on	on	ADP
ejpam-3818	299	4	amd	amd	PROPN
ejpam-3818	299	5	and	and	CCONJ
ejpam-3818	299	6	intel	intel	PROPN
ejpam-3818	299	7	processor	processor	NOUN
ejpam-3818	299	8	.	.	PUNCT
ejpam-3818	300	1	figure	figure	VERB
ejpam-3818	300	2	3	3	NUM
ejpam-3818	300	3	:	:	PUNCT
ejpam-3818	300	4	combined	combined	ADJ
ejpam-3818	300	5	performance	performance	NOUN
ejpam-3818	300	6	time	time	NOUN
ejpam-3818	300	7	of	of	ADP
ejpam-3818	300	8	lu	lu	PROPN
ejpam-3818	300	9	,	,	PUNCT
ejpam-3818	300	10	wz	wz	PROPN
ejpam-3818	300	11	,	,	PUNCT
ejpam-3818	300	12	vwz	vwz	PROPN
ejpam-3818	300	13	and	and	CCONJ
ejpam-3818	300	14	w	w	PROPN
ejpam-3818	300	15	ozo	ozo	PROPN
ejpam-3818	300	16	factorization	factorization	NOUN
ejpam-3818	300	17	on	on	ADP
ejpam-3818	300	18	amd	amd	PROPN
ejpam-3818	300	19	and	and	CCONJ
ejpam-3818	300	20	intel	intel	PROPN
ejpam-3818	300	21	processor	processor	NOUN
ejpam-3818	300	22	via	via	ADP
ejpam-3818	300	23	matlab	matlab	PROPN
ejpam-3818	300	24	r2017b	r2017b	PROPN
ejpam-3818	300	25	and	and	CCONJ
ejpam-3818	300	26	r2019b	r2019b	PROPN
ejpam-3818	300	27	.	.	PROPN
ejpam-3818	300	28	o.	o.	PROPN
ejpam-3818	300	29	babarinsa	babarinsa	PROPN
ejpam-3818	301	1	et	et	PROPN
ejpam-3818	301	2	al	al	PROPN
ejpam-3818	301	3	.	.	PUNCT
ejpam-3818	301	4	/	/	SYM
ejpam-3818	301	5	eur	eur	PROPN
ejpam-3818	301	6	.	.	PUNCT
ejpam-3818	302	1	j.	j.	PROPN
ejpam-3818	302	2	pure	pure	PROPN
ejpam-3818	302	3	appl	appl	PROPN
ejpam-3818	302	4	.	.	PROPN
ejpam-3818	302	5	math	math	PROPN
ejpam-3818	302	6	,	,	PUNCT
ejpam-3818	302	7	13	13	NUM
ejpam-3818	302	8	(	(	PUNCT
ejpam-3818	302	9	4	4	NUM
ejpam-3818	302	10	)	)	PUNCT
ejpam-3818	302	11	(	(	PUNCT
ejpam-3818	302	12	2020	2020	NUM
ejpam-3818	302	13	)	)	PUNCT
ejpam-3818	302	14	,	,	PUNCT
ejpam-3818	302	15	1035	1035	NUM
ejpam-3818	302	16	-	-	SYM
ejpam-3818	302	17	1054	1054	NUM
ejpam-3818	302	18	1048	1048	NUM
ejpam-3818	302	19	0	0	NUM
ejpam-3818	302	20	2000	2000	NUM
ejpam-3818	302	21	4000	4000	NUM
ejpam-3818	302	22	6000	6000	NUM
ejpam-3818	302	23	8000	8000	NUM
ejpam-3818	302	24	10000	10000	NUM
ejpam-3818	302	25	12000	12000	NUM
ejpam-3818	302	26	matrix	matrix	NOUN
ejpam-3818	302	27	size	size	NOUN
ejpam-3818	302	28	(	(	PUNCT
ejpam-3818	302	29	n	n	CCONJ
ejpam-3818	302	30	)	)	PUNCT
ejpam-3818	302	31	0	0	NUM
ejpam-3818	303	1	0.2	0.2	NUM
ejpam-3818	303	2	0.4	0.4	NUM
ejpam-3818	303	3	0.6	0.6	NUM
ejpam-3818	303	4	0.8	0.8	NUM
ejpam-3818	303	5	1	1	NUM
ejpam-3818	303	6	1.2	1.2	NUM
ejpam-3818	303	7	1.4	1.4	NUM
ejpam-3818	303	8	1.6	1.6	NUM
ejpam-3818	303	9	1.8	1.8	NUM
ejpam-3818	303	10	m	m	NOUN
ejpam-3818	303	11	a	a	DET
ejpam-3818	303	12	t	t	NOUN
ejpam-3818	303	13	r	r	NOUN
ejpam-3818	303	14	ix	ix	ADP
ejpam-3818	303	15	n	n	ADV
ejpam-3818	303	16	o	o	NOUN
ejpam-3818	303	17	r	r	NOUN
ejpam-3818	303	18	m	m	VERB
ejpam-3818	303	19	10	10	NUM
ejpam-3818	303	20	-	-	SYM
ejpam-3818	303	21	18	18	NUM
ejpam-3818	303	22	norm	norm	NOUN
ejpam-3818	303	23	on	on	ADP
ejpam-3818	303	24	intel	intel	PROPN
ejpam-3818	303	25	via	via	ADP
ejpam-3818	303	26	matlab	matlab	PROPN
ejpam-3818	303	27	r2019b	r2019b	PART
ejpam-3818	303	28	||b	||b	PROPN
ejpam-3818	303	29	-	-	ADJ
ejpam-3818	303	30	lu||	lu||	ADV
ejpam-3818	303	31	||b	||b	NOUN
ejpam-3818	303	32	-	-	PUNCT
ejpam-3818	303	33	wz||	wz||	PUNCT
ejpam-3818	303	34	||b	||b	PROPN
ejpam-3818	303	35	-	-	VERB
ejpam-3818	303	36	vwz||	vwz||	NUM
ejpam-3818	303	37	||b	||b	PROPN
ejpam-3818	303	38	-	-	NOUN
ejpam-3818	303	39	w	w	NOUN
ejpam-3818	303	40	o	o	NOUN
ejpam-3818	303	41	z	z	NOUN
ejpam-3818	303	42	o	o	NOUN
ejpam-3818	303	43	||	||	NOUN
ejpam-3818	303	44	0	0	NUM
ejpam-3818	303	45	2000	2000	NUM
ejpam-3818	303	46	4000	4000	NUM
ejpam-3818	303	47	6000	6000	NUM
ejpam-3818	303	48	8000	8000	NUM
ejpam-3818	303	49	10000	10000	NUM
ejpam-3818	303	50	12000	12000	NUM
ejpam-3818	303	51	matrix	matrix	NOUN
ejpam-3818	303	52	size	size	NOUN
ejpam-3818	303	53	(	(	PUNCT
ejpam-3818	303	54	n	n	CCONJ
ejpam-3818	303	55	)	)	PUNCT
ejpam-3818	303	56	0	0	NUM
ejpam-3818	303	57	0.1	0.1	NUM
ejpam-3818	303	58	0.2	0.2	NUM
ejpam-3818	303	59	0.3	0.3	NUM
ejpam-3818	303	60	0.4	0.4	NUM
ejpam-3818	303	61	0.5	0.5	NUM
ejpam-3818	303	62	0.6	0.6	NUM
ejpam-3818	303	63	0.7	0.7	NUM
ejpam-3818	303	64	0.8	0.8	NUM
ejpam-3818	303	65	0.9	0.9	NUM
ejpam-3818	303	66	1	1	NUM
ejpam-3818	303	67	m	m	NOUN
ejpam-3818	303	68	a	a	DET
ejpam-3818	303	69	t	t	NOUN
ejpam-3818	303	70	r	r	NOUN
ejpam-3818	303	71	ix	ix	ADP
ejpam-3818	303	72	n	n	ADV
ejpam-3818	303	73	o	o	NOUN
ejpam-3818	303	74	r	r	NOUN
ejpam-3818	303	75	m	m	VERB
ejpam-3818	303	76	10	10	NUM
ejpam-3818	303	77	-	-	SYM
ejpam-3818	303	78	17	17	NUM
ejpam-3818	303	79	norm	norm	NOUN
ejpam-3818	303	80	on	on	ADP
ejpam-3818	303	81	intel	intel	PROPN
ejpam-3818	303	82	via	via	ADP
ejpam-3818	303	83	matlab	matlab	PROPN
ejpam-3818	303	84	r2017b	r2017b	PROPN
ejpam-3818	303	85	||b	||b	PROPN
ejpam-3818	303	86	-	-	ADJ
ejpam-3818	303	87	lu||	lu||	ADV
ejpam-3818	303	88	||b	||b	NOUN
ejpam-3818	303	89	-	-	PUNCT
ejpam-3818	303	90	wz||	wz||	PUNCT
ejpam-3818	303	91	||b	||b	PROPN
ejpam-3818	303	92	-	-	VERB
ejpam-3818	303	93	vwz||	vwz||	NUM
ejpam-3818	303	94	||b	||b	PROPN
ejpam-3818	303	95	-	-	NOUN
ejpam-3818	303	96	w	w	NOUN
ejpam-3818	303	97	o	o	NOUN
ejpam-3818	303	98	z	z	NOUN
ejpam-3818	303	99	o	o	NOUN
ejpam-3818	303	100	||	||	NOUN
ejpam-3818	303	101	norms	norm	NOUN
ejpam-3818	303	102	on	on	ADP
ejpam-3818	303	103	intel	intel	PROPN
ejpam-3818	303	104	via	via	ADP
ejpam-3818	303	105	matlab	matlab	PROPN
ejpam-3818	303	106	r2019b	r2019b	PROPN
ejpam-3818	303	107	.	.	PROPN
ejpam-3818	303	108	norms	norm	NOUN
ejpam-3818	303	109	on	on	ADP
ejpam-3818	303	110	intel	intel	PROPN
ejpam-3818	303	111	via	via	ADP
ejpam-3818	303	112	matlab	matlab	PROPN
ejpam-3818	303	113	r2017b	r2017b	PROPN
ejpam-3818	303	114	.	.	PROPN
ejpam-3818	303	115	0	0	NUM
ejpam-3818	303	116	2000	2000	NUM
ejpam-3818	303	117	4000	4000	NUM
ejpam-3818	303	118	6000	6000	NUM
ejpam-3818	303	119	8000	8000	NUM
ejpam-3818	303	120	10000	10000	NUM
ejpam-3818	303	121	12000	12000	NUM
ejpam-3818	303	122	matrix	matrix	NOUN
ejpam-3818	303	123	size	size	NOUN
ejpam-3818	303	124	(	(	PUNCT
ejpam-3818	303	125	n	n	CCONJ
ejpam-3818	303	126	)	)	PUNCT
ejpam-3818	303	127	0	0	NUM
ejpam-3818	303	128	0.1	0.1	NUM
ejpam-3818	303	129	0.2	0.2	NUM
ejpam-3818	303	130	0.3	0.3	NUM
ejpam-3818	303	131	0.4	0.4	NUM
ejpam-3818	303	132	0.5	0.5	NUM
ejpam-3818	303	133	0.6	0.6	NUM
ejpam-3818	303	134	0.7	0.7	NUM
ejpam-3818	303	135	0.8	0.8	NUM
ejpam-3818	303	136	0.9	0.9	NUM
ejpam-3818	303	137	1	1	NUM
ejpam-3818	303	138	m	m	NOUN
ejpam-3818	303	139	a	a	DET
ejpam-3818	303	140	t	t	NOUN
ejpam-3818	303	141	r	r	NOUN
ejpam-3818	303	142	ix	ix	ADP
ejpam-3818	303	143	n	n	ADV
ejpam-3818	303	144	o	o	NOUN
ejpam-3818	304	1	r	r	NOUN
ejpam-3818	304	2	m	m	VERB
ejpam-3818	304	3	10	10	NUM
ejpam-3818	304	4	-	-	SYM
ejpam-3818	304	5	16	16	NUM
ejpam-3818	304	6	norm	norm	NOUN
ejpam-3818	304	7	on	on	ADP
ejpam-3818	304	8	amd	amd	NOUN
ejpam-3818	304	9	via	via	ADP
ejpam-3818	304	10	matlab	matlab	PROPN
ejpam-3818	304	11	r2019b	r2019b	PART
ejpam-3818	304	12	||b	||b	PROPN
ejpam-3818	304	13	-	-	ADJ
ejpam-3818	304	14	lu||	lu||	ADV
ejpam-3818	304	15	||b	||b	NOUN
ejpam-3818	304	16	-	-	PUNCT
ejpam-3818	304	17	wz||	wz||	PUNCT
ejpam-3818	304	18	||b	||b	PROPN
ejpam-3818	304	19	-	-	VERB
ejpam-3818	304	20	vwz||	vwz||	NUM
ejpam-3818	304	21	||b	||b	PROPN
ejpam-3818	304	22	-	-	NOUN
ejpam-3818	304	23	w	w	NOUN
ejpam-3818	304	24	o	o	NOUN
ejpam-3818	304	25	z	z	NOUN
ejpam-3818	304	26	o	o	NOUN
ejpam-3818	305	1	||	||	NOUN
ejpam-3818	305	2	0	0	NUM
ejpam-3818	305	3	2000	2000	NUM
ejpam-3818	305	4	4000	4000	NUM
ejpam-3818	306	1	6000	6000	NUM
ejpam-3818	306	2	8000	8000	NUM
ejpam-3818	306	3	10000	10000	NUM
ejpam-3818	306	4	12000	12000	NUM
ejpam-3818	306	5	matrix	matrix	NOUN
ejpam-3818	306	6	size	size	NOUN
ejpam-3818	306	7	(	(	PUNCT
ejpam-3818	306	8	n	n	CCONJ
ejpam-3818	306	9	)	)	PUNCT
ejpam-3818	306	10	0	0	NUM
ejpam-3818	307	1	0.2	0.2	NUM
ejpam-3818	307	2	0.4	0.4	NUM
ejpam-3818	307	3	0.6	0.6	NUM
ejpam-3818	307	4	0.8	0.8	NUM
ejpam-3818	307	5	1	1	NUM
ejpam-3818	307	6	1.2	1.2	NUM
ejpam-3818	307	7	1.4	1.4	NUM
ejpam-3818	307	8	1.6	1.6	NUM
ejpam-3818	307	9	1.8	1.8	NUM
ejpam-3818	307	10	2	2	NUM
ejpam-3818	307	11	m	m	NOUN
ejpam-3818	307	12	a	a	DET
ejpam-3818	307	13	t	t	NOUN
ejpam-3818	307	14	r	r	NOUN
ejpam-3818	307	15	ix	ix	ADP
ejpam-3818	307	16	n	n	ADV
ejpam-3818	307	17	o	o	NOUN
ejpam-3818	307	18	r	r	NOUN
ejpam-3818	307	19	m	m	VERB
ejpam-3818	307	20	10	10	NUM
ejpam-3818	307	21	-	-	SYM
ejpam-3818	307	22	15	15	NUM
ejpam-3818	307	23	norm	norm	NOUN
ejpam-3818	307	24	on	on	ADP
ejpam-3818	307	25	amd	amd	NOUN
ejpam-3818	307	26	via	via	ADP
ejpam-3818	307	27	matlab	matlab	PROPN
ejpam-3818	307	28	r2017b	r2017b	PROPN
ejpam-3818	307	29	||b	||b	PROPN
ejpam-3818	307	30	-	-	ADJ
ejpam-3818	307	31	lu||	lu||	ADV
ejpam-3818	307	32	||b	||b	NOUN
ejpam-3818	307	33	-	-	PUNCT
ejpam-3818	307	34	wz||	wz||	PUNCT
ejpam-3818	307	35	||b	||b	PROPN
ejpam-3818	307	36	-	-	VERB
ejpam-3818	307	37	vwz||	vwz||	NUM
ejpam-3818	307	38	||b	||b	PROPN
ejpam-3818	307	39	-	-	NOUN
ejpam-3818	307	40	w	w	NOUN
ejpam-3818	307	41	o	o	NOUN
ejpam-3818	307	42	z	z	NOUN
ejpam-3818	307	43	o	o	NOUN
ejpam-3818	307	44	||	||	NOUN
ejpam-3818	307	45	norms	norm	NOUN
ejpam-3818	307	46	on	on	ADP
ejpam-3818	307	47	amd	amd	PROPN
ejpam-3818	307	48	via	via	ADP
ejpam-3818	307	49	matlab	matlab	PROPN
ejpam-3818	307	50	r2019b	r2019b	PROPN
ejpam-3818	307	51	.	.	PROPN
ejpam-3818	307	52	norms	norm	NOUN
ejpam-3818	307	53	on	on	ADP
ejpam-3818	307	54	amd	amd	PROPN
ejpam-3818	307	55	via	via	ADP
ejpam-3818	307	56	matlab	matlab	PROPN
ejpam-3818	307	57	r2017b	r2017b	PROPN
ejpam-3818	307	58	.	.	PROPN
ejpam-3818	307	59	figure	figure	NOUN
ejpam-3818	307	60	4	4	NUM
ejpam-3818	307	61	:	:	PUNCT
ejpam-3818	307	62	matrix	matrix	NOUN
ejpam-3818	307	63	norms	norm	NOUN
ejpam-3818	307	64	of	of	ADP
ejpam-3818	307	65	lu	lu	PROPN
ejpam-3818	307	66	,	,	PUNCT
ejpam-3818	307	67	wz	wz	PROPN
ejpam-3818	307	68	,	,	PUNCT
ejpam-3818	307	69	vwz	vwz	PROPN
ejpam-3818	307	70	and	and	CCONJ
ejpam-3818	307	71	w	w	PROPN
ejpam-3818	307	72	ozo	ozo	PROPN
ejpam-3818	307	73	factorization	factorization	NOUN
ejpam-3818	307	74	on	on	ADP
ejpam-3818	307	75	amd	amd	PROPN
ejpam-3818	307	76	and	and	CCONJ
ejpam-3818	307	77	intel	intel	PROPN
ejpam-3818	307	78	processor	processor	NOUN
ejpam-3818	307	79	via	via	ADP
ejpam-3818	307	80	matlab	matlab	PROPN
ejpam-3818	307	81	r2017b	r2017b	PROPN
ejpam-3818	307	82	and	and	CCONJ
ejpam-3818	307	83	r2019b	r2019b	PRON
ejpam-3818	307	84	respectively	respectively	ADV
ejpam-3818	307	85	.	.	PUNCT
ejpam-3818	308	1	o.	o.	PROPN
ejpam-3818	308	2	babarinsa	babarinsa	PROPN
ejpam-3818	308	3	et	et	PROPN
ejpam-3818	308	4	al	al	PROPN
ejpam-3818	308	5	.	.	PUNCT
ejpam-3818	308	6	/	/	SYM
ejpam-3818	308	7	eur	eur	PROPN
ejpam-3818	308	8	.	.	PUNCT
ejpam-3818	309	1	j.	j.	PROPN
ejpam-3818	309	2	pure	pure	PROPN
ejpam-3818	309	3	appl	appl	PROPN
ejpam-3818	309	4	.	.	PROPN
ejpam-3818	309	5	math	math	PROPN
ejpam-3818	309	6	,	,	PUNCT
ejpam-3818	309	7	13	13	NUM
ejpam-3818	309	8	(	(	PUNCT
ejpam-3818	309	9	4	4	NUM
ejpam-3818	309	10	)	)	PUNCT
ejpam-3818	309	11	(	(	PUNCT
ejpam-3818	309	12	2020	2020	NUM
ejpam-3818	309	13	)	)	PUNCT
ejpam-3818	309	14	,	,	PUNCT
ejpam-3818	309	15	1035	1035	NUM
ejpam-3818	309	16	-	-	SYM
ejpam-3818	309	17	1054	1054	NUM
ejpam-3818	309	18	1049	1049	NUM
ejpam-3818	309	19	in	in	ADP
ejpam-3818	309	20	figure	figure	NOUN
ejpam-3818	309	21	2	2	NUM
ejpam-3818	309	22	,	,	PUNCT
ejpam-3818	309	23	the	the	DET
ejpam-3818	309	24	sequential	sequential	ADJ
ejpam-3818	309	25	wz	wz	ADP
ejpam-3818	309	26	factorization	factorization	NOUN
ejpam-3818	309	27	,	,	PUNCT
ejpam-3818	309	28	on	on	ADP
ejpam-3818	309	29	average	average	ADJ
ejpam-3818	309	30	for	for	ADP
ejpam-3818	309	31	both	both	PRON
ejpam-3818	309	32	matlab	matlab	PROPN
ejpam-3818	309	33	r2017b	r2017b	PROPN
ejpam-3818	309	34	and	and	CCONJ
ejpam-3818	309	35	2019b	2019b	NOUN
ejpam-3818	309	36	,	,	PUNCT
ejpam-3818	309	37	is	be	AUX
ejpam-3818	309	38	about	about	ADV
ejpam-3818	309	39	22	22	NUM
ejpam-3818	309	40	%	%	NOUN
ejpam-3818	309	41	faster	fast	ADV
ejpam-3818	309	42	than	than	SCONJ
ejpam-3818	309	43	lu	lu	VERB
ejpam-3818	309	44	factorization	factorization	NOUN
ejpam-3818	309	45	on	on	ADP
ejpam-3818	309	46	intel	intel	PROPN
ejpam-3818	309	47	processor	processor	NOUN
ejpam-3818	309	48	and	and	CCONJ
ejpam-3818	309	49	about	about	ADV
ejpam-3818	309	50	17	17	NUM
ejpam-3818	309	51	%	%	NOUN
ejpam-3818	309	52	times	time	NOUN
ejpam-3818	309	53	on	on	ADP
ejpam-3818	309	54	amd	amd	NOUN
ejpam-3818	309	55	processor	processor	NOUN
ejpam-3818	309	56	.	.	PUNCT
ejpam-3818	310	1	the	the	DET
ejpam-3818	310	2	most	most	ADV
ejpam-3818	310	3	preferred	preferred	ADJ
ejpam-3818	310	4	factorization	factorization	NOUN
ejpam-3818	310	5	algorithm	algorithm	NOUN
ejpam-3818	310	6	according	accord	VERB
ejpam-3818	310	7	to	to	ADP
ejpam-3818	310	8	the	the	DET
ejpam-3818	310	9	performance	performance	NOUN
ejpam-3818	310	10	time	time	NOUN
ejpam-3818	310	11	is	be	AUX
ejpam-3818	310	12	vwz	vwz	NOUN
ejpam-3818	310	13	factorization	factorization	NOUN
ejpam-3818	310	14	while	while	SCONJ
ejpam-3818	310	15	lu	lu	NOUN
ejpam-3818	310	16	factorization	factorization	NOUN
ejpam-3818	310	17	is	be	AUX
ejpam-3818	310	18	the	the	DET
ejpam-3818	310	19	worst	bad	ADJ
ejpam-3818	310	20	.	.	PUNCT
ejpam-3818	311	1	however	however	ADV
ejpam-3818	311	2	,	,	PUNCT
ejpam-3818	311	3	w	w	PROPN
ejpam-3818	311	4	ozo	ozo	PROPN
ejpam-3818	311	5	factorization	factorization	NOUN
ejpam-3818	311	6	in	in	ADP
ejpam-3818	311	7	general	general	ADJ
ejpam-3818	311	8	is	be	AUX
ejpam-3818	311	9	about	about	ADV
ejpam-3818	311	10	28	28	NUM
ejpam-3818	311	11	%	%	NOUN
ejpam-3818	311	12	faster	fast	ADV
ejpam-3818	311	13	than	than	SCONJ
ejpam-3818	311	14	wz	wz	ADP
ejpam-3818	311	15	factorization	factorization	NOUN
ejpam-3818	311	16	and	and	CCONJ
ejpam-3818	311	17	41	41	NUM
ejpam-3818	311	18	%	%	NOUN
ejpam-3818	311	19	than	than	ADP
ejpam-3818	311	20	lu	lu	NOUN
ejpam-3818	311	21	factorization	factorization	NOUN
ejpam-3818	311	22	.	.	PUNCT
ejpam-3818	312	1	the	the	DET
ejpam-3818	312	2	performance	performance	NOUN
ejpam-3818	312	3	time	time	NOUN
ejpam-3818	312	4	of	of	ADP
ejpam-3818	312	5	w	w	PROPN
ejpam-3818	312	6	ozo	ozo	PROPN
ejpam-3818	312	7	factorization	factorization	NOUN
ejpam-3818	312	8	approaches	approach	NOUN
ejpam-3818	312	9	wz	wz	ADP
ejpam-3818	312	10	factorization	factorization	NOUN
ejpam-3818	312	11	as	as	ADP
ejpam-3818	312	12	the	the	DET
ejpam-3818	312	13	version	version	NOUN
ejpam-3818	312	14	of	of	ADP
ejpam-3818	312	15	matalb	matalb	NOUN
ejpam-3818	312	16	improves	improve	VERB
ejpam-3818	312	17	.	.	PUNCT
ejpam-3818	313	1	the	the	DET
ejpam-3818	313	2	performance	performance	NOUN
ejpam-3818	313	3	time	time	NOUN
ejpam-3818	313	4	of	of	ADP
ejpam-3818	313	5	all	all	DET
ejpam-3818	313	6	the	the	DET
ejpam-3818	313	7	factorization	factorization	NOUN
ejpam-3818	313	8	algorithms	algorithm	NOUN
ejpam-3818	313	9	increase	increase	VERB
ejpam-3818	313	10	exponentially	exponentially	ADV
ejpam-3818	313	11	with	with	ADP
ejpam-3818	313	12	increase	increase	NOUN
ejpam-3818	313	13	in	in	ADP
ejpam-3818	313	14	matrix	matrix	NOUN
ejpam-3818	313	15	size	size	NOUN
ejpam-3818	313	16	.	.	PUNCT
ejpam-3818	314	1	the	the	DET
ejpam-3818	314	2	version	version	NOUN
ejpam-3818	314	3	of	of	ADP
ejpam-3818	314	4	matlab	matlab	PROPN
ejpam-3818	314	5	has	have	VERB
ejpam-3818	314	6	minimal	minimal	ADJ
ejpam-3818	314	7	influence	influence	NOUN
ejpam-3818	314	8	on	on	ADP
ejpam-3818	314	9	the	the	DET
ejpam-3818	314	10	algorithms	algorithm	NOUN
ejpam-3818	314	11	but	but	CCONJ
ejpam-3818	314	12	the	the	DET
ejpam-3818	314	13	performance	performance	NOUN
ejpam-3818	314	14	time	time	NOUN
ejpam-3818	314	15	significantly	significantly	ADV
ejpam-3818	314	16	depends	depend	VERB
ejpam-3818	314	17	on	on	ADP
ejpam-3818	314	18	the	the	DET
ejpam-3818	314	19	size	size	NOUN
ejpam-3818	314	20	of	of	ADP
ejpam-3818	314	21	the	the	DET
ejpam-3818	314	22	matrix	matrix	NOUN
ejpam-3818	314	23	and	and	CCONJ
ejpam-3818	314	24	architecture	architecture	NOUN
ejpam-3818	314	25	of	of	ADP
ejpam-3818	314	26	the	the	DET
ejpam-3818	314	27	algorithm	algorithm	NOUN
ejpam-3818	314	28	.	.	PUNCT
ejpam-3818	315	1	nevertheless	nevertheless	ADV
ejpam-3818	315	2	,	,	PUNCT
ejpam-3818	315	3	the	the	PRON
ejpam-3818	315	4	higher	high	ADJ
ejpam-3818	315	5	the	the	DET
ejpam-3818	315	6	version	version	NOUN
ejpam-3818	315	7	of	of	ADP
ejpam-3818	315	8	matlab	matlab	PROPN
ejpam-3818	315	9	the	the	PRON
ejpam-3818	315	10	better	well	ADJ
ejpam-3818	315	11	the	the	DET
ejpam-3818	315	12	result	result	NOUN
ejpam-3818	315	13	on	on	ADP
ejpam-3818	315	14	performance	performance	NOUN
ejpam-3818	315	15	time	time	NOUN
ejpam-3818	315	16	.	.	PUNCT
ejpam-3818	316	1	kuu	kuu	PROPN
ejpam-3818	316	2	and	and	CCONJ
ejpam-3818	316	3	n3c6−b7	n3c6−b7	PROPN
ejpam-3818	316	4	have	have	VERB
ejpam-3818	316	5	the	the	DET
ejpam-3818	316	6	highest	high	ADJ
ejpam-3818	316	7	matrix	matrix	NOUN
ejpam-3818	316	8	dimension	dimension	NOUN
ejpam-3818	316	9	difference	difference	NOUN
ejpam-3818	316	10	of	of	ADP
ejpam-3818	316	11	667	667	NUM
ejpam-3818	316	12	.	.	PUNCT
ejpam-3818	317	1	even	even	ADV
ejpam-3818	317	2	though	though	SCONJ
ejpam-3818	317	3	kau	kau	PROPN
ejpam-3818	317	4	f	f	PROPN
ejpam-3818	317	5	hold	hold	VERB
ejpam-3818	317	6	and	and	CCONJ
ejpam-3818	317	7	nd3k	nd3k	NOUN
ejpam-3818	317	8	have	have	VERB
ejpam-3818	317	9	the	the	DET
ejpam-3818	317	10	least	least	ADJ
ejpam-3818	317	11	matrix	matrix	NOUN
ejpam-3818	317	12	dimension	dimension	NOUN
ejpam-3818	317	13	difference	difference	NOUN
ejpam-3818	317	14	of	of	ADP
ejpam-3818	317	15	235	235	NUM
ejpam-3818	317	16	,	,	PUNCT
ejpam-3818	317	17	kau	kau	PROPN
ejpam-3818	317	18	f	f	PROPN
ejpam-3818	317	19	hold	hold	NOUN
ejpam-3818	317	20	has	have	VERB
ejpam-3818	317	21	1.3	1.3	NUM
ejpam-3818	317	22	%	%	NOUN
ejpam-3818	317	23	nonzero	nonzero	NOUN
ejpam-3818	317	24	elements	element	NOUN
ejpam-3818	317	25	of	of	ADP
ejpam-3818	317	26	nd3k	nd3k	NOUN
ejpam-3818	317	27	.	.	PUNCT
ejpam-3818	318	1	the	the	DET
ejpam-3818	318	2	surge	surge	NOUN
ejpam-3818	318	3	in	in	ADP
ejpam-3818	318	4	performance	performance	NOUN
ejpam-3818	318	5	time	time	NOUN
ejpam-3818	318	6	of	of	ADP
ejpam-3818	318	7	nd3k	nd3k	NOUN
ejpam-3818	318	8	is	be	AUX
ejpam-3818	318	9	due	due	ADJ
ejpam-3818	318	10	to	to	ADP
ejpam-3818	318	11	the	the	DET
ejpam-3818	318	12	number	number	NOUN
ejpam-3818	318	13	of	of	ADP
ejpam-3818	318	14	nonzero	nonzero	ADJ
ejpam-3818	318	15	elements	element	NOUN
ejpam-3818	318	16	in	in	ADP
ejpam-3818	318	17	the	the	DET
ejpam-3818	318	18	matrix	matrix	NOUN
ejpam-3818	318	19	for	for	SCONJ
ejpam-3818	318	20	the	the	DET
ejpam-3818	318	21	factorization	factorization	NOUN
ejpam-3818	318	22	to	to	PART
ejpam-3818	318	23	utilize	utilize	VERB
ejpam-3818	318	24	.	.	PUNCT
ejpam-3818	319	1	nd3k	nd3k	NOUN
ejpam-3818	319	2	has	have	VERB
ejpam-3818	319	3	more	more	ADJ
ejpam-3818	319	4	than	than	ADP
ejpam-3818	319	5	4	4	NUM
ejpam-3818	319	6	%	%	NOUN
ejpam-3818	319	7	of	of	ADP
ejpam-3818	319	8	nonzero	nonzero	PROPN
ejpam-3818	319	9	elements	element	NOUN
ejpam-3818	319	10	while	while	SCONJ
ejpam-3818	319	11	other	other	ADJ
ejpam-3818	319	12	sparse	sparse	ADJ
ejpam-3818	319	13	matrices	matrix	NOUN
ejpam-3818	319	14	in	in	ADP
ejpam-3818	319	15	table	table	NOUN
ejpam-3818	319	16	1	1	NUM
ejpam-3818	319	17	have	have	VERB
ejpam-3818	319	18	less	less	ADJ
ejpam-3818	319	19	than	than	ADP
ejpam-3818	319	20	2	2	NUM
ejpam-3818	319	21	%	%	NOUN
ejpam-3818	319	22	nonzero	nonzero	NOUN
ejpam-3818	319	23	elements	element	NOUN
ejpam-3818	319	24	.	.	PUNCT
ejpam-3818	320	1	now	now	ADV
ejpam-3818	320	2	,	,	PUNCT
ejpam-3818	320	3	figure	figure	VERB
ejpam-3818	320	4	3	3	NUM
ejpam-3818	320	5	shows	show	VERB
ejpam-3818	320	6	that	that	SCONJ
ejpam-3818	320	7	the	the	DET
ejpam-3818	320	8	improved	improved	ADJ
ejpam-3818	320	9	version	version	NOUN
ejpam-3818	320	10	of	of	ADP
ejpam-3818	320	11	matlab	matlab	PROPN
ejpam-3818	320	12	contributes	contribute	VERB
ejpam-3818	320	13	to	to	ADP
ejpam-3818	320	14	better	well	ADJ
ejpam-3818	320	15	performance	performance	NOUN
ejpam-3818	320	16	time	time	NOUN
ejpam-3818	320	17	of	of	ADP
ejpam-3818	320	18	each	each	DET
ejpam-3818	320	19	algorithm	algorithm	NOUN
ejpam-3818	320	20	.	.	PUNCT
ejpam-3818	321	1	the	the	DET
ejpam-3818	321	2	algorithms	algorithm	NOUN
ejpam-3818	321	3	on	on	ADP
ejpam-3818	321	4	matlab	matlab	PROPN
ejpam-3818	321	5	r2017b	r2017b	PROPN
ejpam-3818	321	6	spend	spend	VERB
ejpam-3818	321	7	more	more	ADJ
ejpam-3818	321	8	time	time	NOUN
ejpam-3818	321	9	in	in	ADP
ejpam-3818	321	10	execution	execution	NOUN
ejpam-3818	321	11	than	than	ADP
ejpam-3818	321	12	on	on	ADP
ejpam-3818	321	13	matlab	matlab	PROPN
ejpam-3818	321	14	r2019b	r2019b	PUNCT
ejpam-3818	321	15	irrespective	irrespective	ADV
ejpam-3818	321	16	of	of	ADP
ejpam-3818	321	17	the	the	DET
ejpam-3818	321	18	type	type	NOUN
ejpam-3818	321	19	of	of	ADP
ejpam-3818	321	20	processor	processor	NOUN
ejpam-3818	321	21	used	use	VERB
ejpam-3818	321	22	.	.	PUNCT
ejpam-3818	322	1	the	the	DET
ejpam-3818	322	2	figure	figure	NOUN
ejpam-3818	322	3	also	also	ADV
ejpam-3818	322	4	shows	show	VERB
ejpam-3818	322	5	that	that	SCONJ
ejpam-3818	322	6	the	the	DET
ejpam-3818	322	7	the	the	DET
ejpam-3818	322	8	time	time	NOUN
ejpam-3818	322	9	to	to	PART
ejpam-3818	322	10	execute	execute	VERB
ejpam-3818	322	11	the	the	DET
ejpam-3818	322	12	algorithms	algorithm	NOUN
ejpam-3818	322	13	via	via	ADP
ejpam-3818	322	14	matlab	matlab	PROPN
ejpam-3818	322	15	r2017b	r2017b	PROPN
ejpam-3818	322	16	and	and	CCONJ
ejpam-3818	322	17	matlab	matlab	PROPN
ejpam-3818	322	18	r2019b	r2019b	PUNCT
ejpam-3818	322	19	on	on	ADP
ejpam-3818	322	20	amd	amd	NOUN
ejpam-3818	322	21	processor	processor	NOUN
ejpam-3818	322	22	is	be	AUX
ejpam-3818	322	23	longer	long	ADJ
ejpam-3818	322	24	than	than	ADP
ejpam-3818	322	25	on	on	ADP
ejpam-3818	322	26	intel	intel	PROPN
ejpam-3818	322	27	processor	processor	NOUN
ejpam-3818	322	28	.	.	PUNCT
ejpam-3818	323	1	figure	figure	VERB
ejpam-3818	323	2	4	4	NUM
ejpam-3818	323	3	displays	display	VERB
ejpam-3818	323	4	the	the	DET
ejpam-3818	323	5	matrix	matrix	NOUN
ejpam-3818	323	6	norms	norm	VERB
ejpam-3818	323	7	for	for	ADP
ejpam-3818	323	8	amd	amd	NOUN
ejpam-3818	323	9	and	and	CCONJ
ejpam-3818	323	10	intel	intel	PROPN
ejpam-3818	323	11	on	on	ADP
ejpam-3818	323	12	matlab	matlab	PROPN
ejpam-3818	323	13	r2017b	r2017b	PROPN
ejpam-3818	323	14	and	and	CCONJ
ejpam-3818	323	15	r2019b	r2019b	PRON
ejpam-3818	323	16	respectively	respectively	ADV
ejpam-3818	323	17	.	.	PUNCT
ejpam-3818	324	1	our	our	PRON
ejpam-3818	324	2	background	background	NOUN
ejpam-3818	324	3	analysis	analysis	NOUN
ejpam-3818	324	4	shows	show	VERB
ejpam-3818	324	5	that	that	SCONJ
ejpam-3818	324	6	the	the	DET
ejpam-3818	324	7	matrix	matrix	NOUN
ejpam-3818	324	8	norms	norm	NOUN
ejpam-3818	324	9	of	of	ADP
ejpam-3818	324	10	lu	lu	PROPN
ejpam-3818	324	11	,	,	PUNCT
ejpam-3818	324	12	wz	wz	PROPN
ejpam-3818	324	13	,	,	PUNCT
ejpam-3818	324	14	vwz	vwz	PROPN
ejpam-3818	324	15	and	and	CCONJ
ejpam-3818	324	16	w	w	PROPN
ejpam-3818	324	17	ozo	ozo	PROPN
ejpam-3818	324	18	factorization	factorization	NOUN
ejpam-3818	324	19	are	be	AUX
ejpam-3818	324	20	influenced	influence	VERB
ejpam-3818	324	21	by	by	ADP
ejpam-3818	324	22	the	the	DET
ejpam-3818	324	23	architecture	architecture	NOUN
ejpam-3818	324	24	of	of	ADP
ejpam-3818	324	25	the	the	DET
ejpam-3818	324	26	algorithm	algorithm	NOUN
ejpam-3818	324	27	used	use	VERB
ejpam-3818	324	28	.	.	PUNCT
ejpam-3818	325	1	due	due	ADP
ejpam-3818	325	2	to	to	PART
ejpam-3818	325	3	minimal	minimal	VERB
ejpam-3818	325	4	round	round	VERB
ejpam-3818	325	5	-	-	PUNCT
ejpam-3818	325	6	off	off	ADP
ejpam-3818	325	7	error	error	NOUN
ejpam-3818	325	8	,	,	PUNCT
ejpam-3818	325	9	the	the	DET
ejpam-3818	325	10	matrix	matrix	NOUN
ejpam-3818	325	11	norms	norm	NOUN
ejpam-3818	325	12	of	of	ADP
ejpam-3818	325	13	w	w	PROPN
ejpam-3818	325	14	ozo	ozo	PROPN
ejpam-3818	325	15	factorization	factorization	NOUN
ejpam-3818	325	16	are	be	AUX
ejpam-3818	325	17	better	well	ADJ
ejpam-3818	325	18	than	than	ADP
ejpam-3818	325	19	lu	lu	PROPN
ejpam-3818	325	20	,	,	PUNCT
ejpam-3818	325	21	wz	wz	NOUN
ejpam-3818	325	22	and	and	CCONJ
ejpam-3818	325	23	vwz	vwz	NOUN
ejpam-3818	325	24	factorization	factorization	NOUN
ejpam-3818	325	25	.	.	PUNCT
ejpam-3818	326	1	the	the	DET
ejpam-3818	326	2	lu	lu	PROPN
ejpam-3818	326	3	factorization	factorization	NOUN
ejpam-3818	326	4	has	have	VERB
ejpam-3818	326	5	the	the	DET
ejpam-3818	326	6	worst	bad	ADJ
ejpam-3818	326	7	algorithm	algorithm	NOUN
ejpam-3818	326	8	for	for	ADP
ejpam-3818	326	9	matrix	matrix	NOUN
ejpam-3818	326	10	norm	norm	NOUN
ejpam-3818	326	11	.	.	PUNCT
ejpam-3818	327	1	the	the	DET
ejpam-3818	327	2	matrix	matrix	NOUN
ejpam-3818	327	3	norms	norm	NOUN
ejpam-3818	327	4	of	of	ADP
ejpam-3818	327	5	all	all	DET
ejpam-3818	327	6	the	the	DET
ejpam-3818	327	7	factorization	factorization	NOUN
ejpam-3818	327	8	algorithms	algorithm	NOUN
ejpam-3818	327	9	increase	increase	VERB
ejpam-3818	327	10	as	as	ADP
ejpam-3818	327	11	the	the	DET
ejpam-3818	327	12	size	size	NOUN
ejpam-3818	327	13	of	of	ADP
ejpam-3818	327	14	their	their	PRON
ejpam-3818	327	15	matrices	matrix	NOUN
ejpam-3818	327	16	increase	increase	NOUN
ejpam-3818	327	17	.	.	PUNCT
ejpam-3818	328	1	furthermore	furthermore	ADV
ejpam-3818	328	2	,	,	PUNCT
ejpam-3818	328	3	the	the	DET
ejpam-3818	328	4	accuracy	accuracy	NOUN
ejpam-3818	328	5	of	of	ADP
ejpam-3818	328	6	our	our	PRON
ejpam-3818	328	7	algorithms	algorithm	NOUN
ejpam-3818	328	8	based	base	VERB
ejpam-3818	328	9	on	on	ADP
ejpam-3818	328	10	the	the	DET
ejpam-3818	328	11	relative	relative	ADJ
ejpam-3818	328	12	residual	residual	NOUN
ejpam-3818	328	13	depends	depend	VERB
ejpam-3818	328	14	more	more	ADV
ejpam-3818	328	15	on	on	ADP
ejpam-3818	328	16	the	the	DET
ejpam-3818	328	17	frobenius	frobenius	ADJ
ejpam-3818	328	18	norm	norm	NOUN
ejpam-3818	328	19	than	than	ADP
ejpam-3818	328	20	the	the	DET
ejpam-3818	328	21	matrix	matrix	NOUN
ejpam-3818	328	22	size	size	NOUN
ejpam-3818	328	23	.	.	PUNCT
ejpam-3818	329	1	in	in	ADP
ejpam-3818	329	2	table	table	NOUN
ejpam-3818	329	3	3	3	NUM
ejpam-3818	329	4	,	,	PUNCT
ejpam-3818	329	5	comsol	comsol	NOUN
ejpam-3818	329	6	,	,	PUNCT
ejpam-3818	329	7	thermal	thermal	ADJ
ejpam-3818	329	8	,	,	PUNCT
ejpam-3818	329	9	n3c6−	n3c6−	ADJ
ejpam-3818	329	10	b7	b7	PROPN
ejpam-3818	329	11	,	,	PUNCT
ejpam-3818	329	12	nemeth19	nemeth19	NOUN
ejpam-3818	329	13	and	and	CCONJ
ejpam-3818	329	14	wing	wing	NOUN
ejpam-3818	329	15	nodal	nodal	NOUN
ejpam-3818	329	16	have	have	VERB
ejpam-3818	329	17	their	their	PRON
ejpam-3818	329	18	frobenius	frobenius	ADJ
ejpam-3818	329	19	norms	norm	NOUN
ejpam-3818	329	20	below	below	ADP
ejpam-3818	329	21	500	500	NUM
ejpam-3818	329	22	and	and	CCONJ
ejpam-3818	329	23	their	their	PRON
ejpam-3818	329	24	numerical	numerical	ADJ
ejpam-3818	329	25	accuracy	accuracy	NOUN
ejpam-3818	329	26	below	below	ADP
ejpam-3818	329	27	25	25	NUM
ejpam-3818	329	28	.	.	PUNCT
ejpam-3818	330	1	kau	kau	PROPN
ejpam-3818	330	2	f	f	PROPN
ejpam-3818	330	3	hold	hold	VERB
ejpam-3818	330	4	with	with	ADP
ejpam-3818	330	5	0.06	0.06	NUM
ejpam-3818	330	6	%	%	NOUN
ejpam-3818	330	7	nonzero	nonzero	NOUN
ejpam-3818	330	8	entries	entry	NOUN
ejpam-3818	330	9	has	have	VERB
ejpam-3818	330	10	the	the	DET
ejpam-3818	330	11	highest	high	ADJ
ejpam-3818	330	12	frobenius	frobenius	ADJ
ejpam-3818	330	13	norm	norm	NOUN
ejpam-3818	330	14	among	among	ADP
ejpam-3818	330	15	the	the	DET
ejpam-3818	330	16	given	give	VERB
ejpam-3818	330	17	matrices	matrix	NOUN
ejpam-3818	330	18	.	.	PUNCT
ejpam-3818	331	1	proposition	proposition	NOUN
ejpam-3818	331	2	2	2	NUM
ejpam-3818	331	3	.	.	PUNCT
ejpam-3818	331	4	schur	schur	PROPN
ejpam-3818	331	5	complement	complement	PROPN
ejpam-3818	331	6	exists	exist	VERB
ejpam-3818	331	7	for	for	ADP
ejpam-3818	331	8	every	every	DET
ejpam-3818	331	9	zsystem	zsystem	NOUN
ejpam-3818	331	10	.	.	PUNCT
ejpam-3818	332	1	proof	proof	NOUN
ejpam-3818	332	2	.	.	PUNCT
ejpam-3818	333	1	for	for	ADP
ejpam-3818	333	2	the	the	DET
ejpam-3818	333	3	existence	existence	NOUN
ejpam-3818	333	4	of	of	ADP
ejpam-3818	333	5	z	z	NOUN
ejpam-3818	333	6	-	-	NOUN
ejpam-3818	333	7	matrix	matrix	NOUN
ejpam-3818	333	8	,	,	PUNCT
ejpam-3818	333	9	the	the	DET
ejpam-3818	333	10	necessary	necessary	ADJ
ejpam-3818	333	11	and	and	CCONJ
ejpam-3818	333	12	sufficient	sufficient	ADJ
ejpam-3818	333	13	condition	condition	NOUN
ejpam-3818	333	14	for	for	ADP
ejpam-3818	333	15	wz	wz	ADP
ejpam-3818	333	16	factorization	factorization	NOUN
ejpam-3818	333	17	is	be	AUX
ejpam-3818	333	18	that	that	DET
ejpam-3818	333	19	matrix	matrix	NOUN
ejpam-3818	333	20	b	b	NOUN
ejpam-3818	333	21	must	must	AUX
ejpam-3818	333	22	be	be	AUX
ejpam-3818	333	23	centro	centro	NOUN
ejpam-3818	333	24	-	-	ADJ
ejpam-3818	333	25	nonsingular	nonsingular	ADJ
ejpam-3818	333	26	(	(	PUNCT
ejpam-3818	333	27	see	see	VERB
ejpam-3818	333	28	[	[	X
ejpam-3818	333	29	37	37	NUM
ejpam-3818	333	30	]	]	NUM
ejpam-3818	333	31	)	)	PUNCT
ejpam-3818	333	32	.	.	PUNCT
ejpam-3818	334	1	first	first	ADV
ejpam-3818	334	2	,	,	PUNCT
ejpam-3818	334	3	let	let	VERB
ejpam-3818	334	4	z	z	NOUN
ejpam-3818	334	5	-	-	NOUN
ejpam-3818	334	6	matrix	matrix	NOUN
ejpam-3818	334	7	of	of	ADP
ejpam-3818	334	8	even	even	ADV
ejpam-3818	334	9	order	order	NOUN
ejpam-3818	334	10	being	be	AUX
ejpam-3818	334	11	o.	o.	ADJ
ejpam-3818	334	12	babarinsa	babarinsa	NOUN
ejpam-3818	334	13	et	et	PROPN
ejpam-3818	334	14	al	al	PROPN
ejpam-3818	334	15	.	.	PUNCT
ejpam-3818	334	16	/	/	SYM
ejpam-3818	334	17	eur	eur	PROPN
ejpam-3818	334	18	.	.	PUNCT
ejpam-3818	335	1	j.	j.	PROPN
ejpam-3818	335	2	pure	pure	PROPN
ejpam-3818	335	3	appl	appl	PROPN
ejpam-3818	335	4	.	.	PROPN
ejpam-3818	335	5	math	math	PROPN
ejpam-3818	335	6	,	,	PUNCT
ejpam-3818	335	7	13	13	NUM
ejpam-3818	335	8	(	(	PUNCT
ejpam-3818	335	9	4	4	NUM
ejpam-3818	335	10	)	)	PUNCT
ejpam-3818	335	11	(	(	PUNCT
ejpam-3818	335	12	2020	2020	NUM
ejpam-3818	335	13	)	)	PUNCT
ejpam-3818	335	14	,	,	PUNCT
ejpam-3818	335	15	1035	1035	NUM
ejpam-3818	335	16	-	-	SYM
ejpam-3818	335	17	1054	1054	NUM
ejpam-3818	335	18	1050	1050	NUM
ejpam-3818	335	19	factorized	factorize	VERB
ejpam-3818	335	20	from	from	ADP
ejpam-3818	335	21	nonsingular	nonsingular	ADJ
ejpam-3818	335	22	matrix	matrix	NOUN
ejpam-3818	335	23	b	b	NOUN
ejpam-3818	335	24	be	be	AUX
ejpam-3818	335	25	z	z	NOUN
ejpam-3818	335	26	=	=	SYM
ejpam-3818	335	27			NOUN
ejpam-3818	336	1	αk	αk	ADP
ejpam-3818	336	2	,	,	PUNCT
ejpam-3818	336	3	k	k	X
ejpam-3818	336	4	·	·	PUNCT
ejpam-3818	336	5	·	·	PUNCT
ejpam-3818	336	6	·	·	PUNCT
ejpam-3818	336	7	·	·	PUNCT
ejpam-3818	336	8	·	·	PUNCT
ejpam-3818	336	9	·	·	PUNCT
ejpam-3818	337	1	αk	αk	INTJ
ejpam-3818	337	2	,	,	PUNCT
ejpam-3818	337	3	n	n	PRON
ejpam-3818	337	4	2	2	NUM
ejpam-3818	337	5	...	...	PUNCT
ejpam-3818	337	6	βk	βk	ADP
ejpam-3818	337	7	,	,	PUNCT
ejpam-3818	337	8	n	n	PROPN
ejpam-3818	337	9	2	2	NUM
ejpam-3818	337	10	+	+	NOUN
ejpam-3818	337	11	1	1	NUM
ejpam-3818	337	12	·	·	PUNCT
ejpam-3818	337	13	·	·	PUNCT
ejpam-3818	337	14	·	·	PUNCT
ejpam-3818	337	15	·	·	PUNCT
ejpam-3818	337	16	·	·	PUNCT
ejpam-3818	337	17	·	·	PUNCT
ejpam-3818	338	1	βk	βk	ADP
ejpam-3818	338	2	,	,	PUNCT
ejpam-3818	338	3	n	n	NOUN
ejpam-3818	338	4	.	.	PUNCT
ejpam-3818	338	5	.	.	PUNCT
ejpam-3818	338	6	.	.	PUNCT
ejpam-3818	339	1	z1,1	z1,1	INTJ
ejpam-3818	339	2	...	...	PUNCT
ejpam-3818	339	3	...	...	PUNCT
ejpam-3818	339	4	...	...	PUNCT
ejpam-3818	340	1	z1,2	z1,2	INTJ
ejpam-3818	340	2	...	...	PUNCT
ejpam-3818	340	3	.	.	PUNCT
ejpam-3818	340	4	.	.	PUNCT
ejpam-3818	340	5	.	.	PUNCT
ejpam-3818	340	6	...	...	PUNCT
ejpam-3818	340	7	...	...	PUNCT
ejpam-3818	340	8	...	...	PUNCT
ejpam-3818	340	9	...	...	PUNCT
ejpam-3818	341	1	αk	αk	INTJ
ejpam-3818	341	2	,	,	PUNCT
ejpam-3818	341	3	k	k	X
ejpam-3818	341	4	·	·	PUNCT
ejpam-3818	341	5	·	·	PUNCT
ejpam-3818	341	6	·	·	PUNCT
ejpam-3818	341	7	βk	βk	ADP
ejpam-3818	341	8	,	,	PUNCT
ejpam-3818	341	9	l	l	NOUN
ejpam-3818	341	10	·	·	PUNCT
ejpam-3818	341	11	·	·	PUNCT
ejpam-3818	341	12	·	·	PUNCT
ejpam-3818	341	13	·	·	PUNCT
ejpam-3818	341	14	·	·	PUNCT
ejpam-3818	341	15	·	·	PUNCT
ejpam-3818	341	16	·	·	PUNCT
ejpam-3818	341	17	·	·	PUNCT
ejpam-3818	341	18	·	·	PUNCT
ejpam-3818	341	19	...	...	PUNCT
ejpam-3818	341	20	...	...	PUNCT
ejpam-3818	341	21	·	·	PUNCT
ejpam-3818	341	22	·	·	PUNCT
ejpam-3818	341	23	·	·	PUNCT
ejpam-3818	341	24	·	·	PUNCT
ejpam-3818	341	25	·	·	PUNCT
ejpam-3818	341	26	·	·	PUNCT
ejpam-3818	341	27	·	·	PUNCT
ejpam-3818	341	28	·	·	PUNCT
ejpam-3818	341	29	·	·	PUNCT
ejpam-3818	341	30	γl	γl	PROPN
ejpam-3818	341	31	,	,	PUNCT
ejpam-3818	341	32	k	k	X
ejpam-3818	341	33	·	·	PUNCT
ejpam-3818	341	34	·	·	PUNCT
ejpam-3818	341	35	·	·	PUNCT
ejpam-3818	341	36	δl	δl	INTJ
ejpam-3818	341	37	,	,	PUNCT
ejpam-3818	341	38	l	l	NOUN
ejpam-3818	341	39	...	...	PUNCT
ejpam-3818	341	40	...	...	PUNCT
ejpam-3818	341	41	...	...	PUNCT
ejpam-3818	341	42	...	...	PUNCT
ejpam-3818	341	43	.	.	PUNCT
ejpam-3818	341	44	.	.	PUNCT
ejpam-3818	341	45	.	.	PUNCT
ejpam-3818	342	1	...	...	PUNCT
ejpam-3818	342	2	z2,1	z2,1	NUM
ejpam-3818	342	3	...	...	PUNCT
ejpam-3818	342	4	...	...	PUNCT
ejpam-3818	342	5	...	...	PUNCT
ejpam-3818	343	1	z2,2	z2,2	NOUN
ejpam-3818	343	2	.	.	PUNCT
ejpam-3818	343	3	.	.	PUNCT
ejpam-3818	343	4	.	.	PUNCT
ejpam-3818	344	1	γn	γn	X
ejpam-3818	344	2	,	,	PUNCT
ejpam-3818	344	3	k	k	PROPN
ejpam-3818	344	4	·	·	PUNCT
ejpam-3818	344	5	·	·	PUNCT
ejpam-3818	344	6	·	·	PUNCT
ejpam-3818	344	7	·	·	PUNCT
ejpam-3818	344	8	·	·	PUNCT
ejpam-3818	344	9	·	·	PUNCT
ejpam-3818	345	1	γn	γn	X
ejpam-3818	345	2	,	,	PUNCT
ejpam-3818	345	3	n	n	PRON
ejpam-3818	345	4	2	2	NUM
ejpam-3818	345	5	...	...	PUNCT
ejpam-3818	345	6	δn	δn	NOUN
ejpam-3818	345	7	,	,	PUNCT
ejpam-3818	345	8	n	n	PROPN
ejpam-3818	345	9	2	2	NUM
ejpam-3818	345	10	+	+	NOUN
ejpam-3818	345	11	1	1	NUM
ejpam-3818	345	12	·	·	PUNCT
ejpam-3818	345	13	·	·	PUNCT
ejpam-3818	345	14	·	·	PUNCT
ejpam-3818	345	15	·	·	PUNCT
ejpam-3818	345	16	·	·	PUNCT
ejpam-3818	345	17	·	·	PUNCT
ejpam-3818	345	18	δn	δn	INTJ
ejpam-3818	345	19	,	,	PUNCT
ejpam-3818	345	20	n	n	CCONJ
ejpam-3818	345	21			NUM
ejpam-3818	345	22	(	(	PUNCT
ejpam-3818	345	23	17	17	NUM
ejpam-3818	345	24	)	)	PUNCT
ejpam-3818	345	25	where	where	SCONJ
ejpam-3818	345	26	k	k	NOUN
ejpam-3818	345	27	=	=	SYM
ejpam-3818	345	28	1,2	1,2	NUM
ejpam-3818	345	29	,	,	PUNCT
ejpam-3818	345	30	...	...	PUNCT
ejpam-3818	345	31	,	,	PUNCT
ejpam-3818	345	32	n	n	PROPN
ejpam-3818	345	33	2	2	NUM
ejpam-3818	345	34	;	;	PUNCT
ejpam-3818	345	35	l	l	NOUN
ejpam-3818	345	36	=	=	PUNCT
ejpam-3818	345	37	n−	n−	PROPN
ejpam-3818	345	38	k+1	k+1	NOUN
ejpam-3818	345	39	.	.	PUNCT
ejpam-3818	346	1	then	then	ADV
ejpam-3818	346	2	,	,	PUNCT
ejpam-3818	346	3	the	the	DET
ejpam-3818	346	4	determinant	determinant	NOUN
ejpam-3818	346	5	of	of	ADP
ejpam-3818	346	6	z	z	NOUN
ejpam-3818	346	7	-	-	PUNCT
ejpam-3818	346	8	matrix	matrix	NOUN
ejpam-3818	346	9	is	be	AUX
ejpam-3818	346	10	det(z	det(z	PROPN
ejpam-3818	346	11	)	)	PUNCT
ejpam-3818	346	12	=	=	SYM
ejpam-3818	346	13	det	det	NOUN
ejpam-3818	346	14			PUNCT
ejpam-3818	346	15	αk	αk	PROPN
ejpam-3818	346	16	,	,	PUNCT
ejpam-3818	346	17	k	k	X
ejpam-3818	346	18	·	·	PUNCT
ejpam-3818	346	19	·	·	PUNCT
ejpam-3818	346	20	·	·	PUNCT
ejpam-3818	347	1	βk	βk	ADP
ejpam-3818	347	2	,	,	PUNCT
ejpam-3818	347	3	l	l	NOUN
ejpam-3818	347	4	...	...	PUNCT
ejpam-3818	347	5	...	...	PUNCT
ejpam-3818	348	1	γl	γl	ADJ
ejpam-3818	348	2	,	,	PUNCT
ejpam-3818	348	3	k	k	X
ejpam-3818	348	4	·	·	PUNCT
ejpam-3818	348	5	·	·	PUNCT
ejpam-3818	348	6	·	·	PUNCT
ejpam-3818	349	1	δl	δl	INTJ
ejpam-3818	349	2	,	,	PUNCT
ejpam-3818	349	3	l	l	PROPN
ejpam-3818	349	4			NUM
ejpam-3818	349	5	1≤k≤	1≤k≤	NUM
ejpam-3818	349	6	n	n	PRON
ejpam-3818	349	7	2	2	NUM
ejpam-3818	349	8	;	;	PUNCT
ejpam-3818	349	9	l	l	X
ejpam-3818	349	10	=	=	NOUN
ejpam-3818	349	11	n−k+1	n−k+1	NOUN
ejpam-3818	349	12	=	=	SYM
ejpam-3818	349	13	n	n	CCONJ
ejpam-3818	349	14	2	2	NUM
ejpam-3818	349	15	∏	∏	NUM
ejpam-3818	349	16	k=1	k=1	X
ejpam-3818	349	17	(	(	PUNCT
ejpam-3818	349	18	δl	δl	PROPN
ejpam-3818	349	19	,	,	PUNCT
ejpam-3818	349	20	lαk	lαk	PROPN
ejpam-3818	349	21	,	,	PUNCT
ejpam-3818	349	22	l−	l−	PROPN
ejpam-3818	349	23	γl	γl	NOUN
ejpam-3818	349	24	,	,	PUNCT
ejpam-3818	349	25	kβk	kβk	VERB
ejpam-3818	349	26	,	,	PUNCT
ejpam-3818	349	27	l)l	l)l	NOUN
ejpam-3818	349	28	=	=	NOUN
ejpam-3818	349	29	n−k+1	n−k+1	NOUN
ejpam-3818	349	30	6=	6=	ADP
ejpam-3818	349	31	0	0	NUM
ejpam-3818	349	32	.	.	PUNCT
ejpam-3818	350	1	(	(	PUNCT
ejpam-3818	350	2	18	18	NUM
ejpam-3818	350	3	)	)	PUNCT
ejpam-3818	350	4	next	next	ADV
ejpam-3818	350	5	,	,	PUNCT
ejpam-3818	350	6	partition	partition	NOUN
ejpam-3818	350	7	equation	equation	NOUN
ejpam-3818	350	8	(	(	PUNCT
ejpam-3818	350	9	17	17	NUM
ejpam-3818	350	10	)	)	PUNCT
ejpam-3818	350	11	into	into	ADP
ejpam-3818	350	12	zsystem	zsystem	NOUN
ejpam-3818	350	13	of	of	ADP
ejpam-3818	350	14	2×2	2×2	NUM
ejpam-3818	350	15	triangular	triangular	NOUN
ejpam-3818	350	16	block	block	NOUN
ejpam-3818	350	17	matrices	matrix	NOUN
ejpam-3818	350	18	(	(	PUNCT
ejpam-3818	350	19	[	[	X
ejpam-3818	350	20	zi	zi	X
ejpam-3818	350	21	,	,	PUNCT
ejpam-3818	350	22	j	j	PROPN
ejpam-3818	350	23	]	]	X
ejpam-3818	350	24	2	2	NUM
ejpam-3818	350	25	i	i	NOUN
ejpam-3818	350	26	,	,	PUNCT
ejpam-3818	350	27	j=1	j=1	PROPN
ejpam-3818	350	28	)	)	PUNCT
ejpam-3818	350	29	with	with	ADP
ejpam-3818	350	30	each	each	DET
ejpam-3818	350	31	block	block	NOUN
ejpam-3818	350	32	containing	contain	VERB
ejpam-3818	350	33	n	n	PRON
ejpam-3818	350	34	2	2	NUM
ejpam-3818	350	35	×	×	NOUN
ejpam-3818	350	36	n	n	CCONJ
ejpam-3818	350	37	2	2	NUM
ejpam-3818	350	38	matrix	matrix	NOUN
ejpam-3818	350	39	to	to	PART
ejpam-3818	350	40	have	have	VERB
ejpam-3818	350	41	zsystem	zsystem	NOUN
ejpam-3818	350	42	=	=	PUNCT
ejpam-3818	350	43	[	[	PUNCT
ejpam-3818	350	44	z1,1	z1,1	INTJ
ejpam-3818	350	45	z1,2	z1,2	ADJ
ejpam-3818	350	46	z2,1	z2,1	NUM
ejpam-3818	350	47	z2,2	z2,2	PROPN
ejpam-3818	350	48	]	]	PUNCT
ejpam-3818	350	49	.	.	PUNCT
ejpam-3818	351	1	if	if	SCONJ
ejpam-3818	351	2	each	each	DET
ejpam-3818	351	3	2×2	2×2	NUM
ejpam-3818	351	4	triangular	triangular	NOUN
ejpam-3818	351	5	block	block	NOUN
ejpam-3818	351	6	matrix	matrix	NOUN
ejpam-3818	351	7	is	be	AUX
ejpam-3818	351	8	singular	singular	ADJ
ejpam-3818	351	9	(	(	PUNCT
ejpam-3818	351	10	i.e	i.e	X
ejpam-3818	351	11	z1,1z2,2	z1,1z2,2	NUM
ejpam-3818	351	12	=	=	NOUN
ejpam-3818	351	13	z1,2z2,1	z1,2z2,1	NUM
ejpam-3818	351	14	)	)	PUNCT
ejpam-3818	351	15	,	,	PUNCT
ejpam-3818	351	16	then	then	ADV
ejpam-3818	351	17	zsystem	zsystem	NOUN
ejpam-3818	351	18	is	be	AUX
ejpam-3818	351	19	not	not	PART
ejpam-3818	351	20	invertible	invertible	ADJ
ejpam-3818	351	21	which	which	PRON
ejpam-3818	351	22	contradicts	contradict	VERB
ejpam-3818	351	23	equation	equation	NOUN
ejpam-3818	351	24	(	(	PUNCT
ejpam-3818	351	25	18	18	NUM
ejpam-3818	351	26	)	)	PUNCT
ejpam-3818	351	27	.	.	PUNCT
ejpam-3818	352	1	hence	hence	ADV
ejpam-3818	352	2	,	,	PUNCT
ejpam-3818	352	3	there	there	PRON
ejpam-3818	352	4	exists	exist	VERB
ejpam-3818	352	5	at	at	ADP
ejpam-3818	352	6	least	least	ADV
ejpam-3818	352	7	two	two	NUM
ejpam-3818	352	8	nonsingular	nonsingular	ADJ
ejpam-3818	352	9	triangular	triangular	NOUN
ejpam-3818	352	10	block	block	NOUN
ejpam-3818	352	11	matrices	matrix	NOUN
ejpam-3818	352	12	in	in	ADP
ejpam-3818	352	13	zsystem	zsystem	NOUN
ejpam-3818	352	14	.	.	PUNCT
ejpam-3818	353	1	if	if	SCONJ
ejpam-3818	353	2	z1,1	z1,1	PROPN
ejpam-3818	353	3	is	be	AUX
ejpam-3818	353	4	invertible	invertible	ADJ
ejpam-3818	353	5	as	as	ADV
ejpam-3818	353	6	well	well	ADV
ejpam-3818	353	7	as	as	ADP
ejpam-3818	353	8	z2,2	z2,2	NUM
ejpam-3818	353	9	,	,	PUNCT
ejpam-3818	353	10	then	then	ADV
ejpam-3818	353	11	the	the	DET
ejpam-3818	353	12	schur	schur	PROPN
ejpam-3818	353	13	complement	complement	NOUN
ejpam-3818	353	14	of	of	ADP
ejpam-3818	353	15	the	the	DET
ejpam-3818	353	16	block	block	NOUN
ejpam-3818	353	17	z1,1	z1,1	PROPN
ejpam-3818	353	18	in	in	ADP
ejpam-3818	353	19	zsystem	zsystem	NOUN
ejpam-3818	353	20	is	be	AUX
ejpam-3818	353	21	given	give	VERB
ejpam-3818	353	22	as	as	ADP
ejpam-3818	353	23	z2,2−z2,1z−1	z2,2−z2,1z−1	PROPN
ejpam-3818	353	24	1,1z1,2	1,1z1,2	NUM
ejpam-3818	353	25	.	.	PUNCT
ejpam-3818	354	1	(	(	PUNCT
ejpam-3818	354	2	19	19	NUM
ejpam-3818	354	3	)	)	PUNCT
ejpam-3818	354	4	the	the	DET
ejpam-3818	354	5	determinant	determinant	NOUN
ejpam-3818	354	6	of	of	ADP
ejpam-3818	354	7	equation	equation	NOUN
ejpam-3818	354	8	(	(	PUNCT
ejpam-3818	354	9	19	19	NUM
ejpam-3818	354	10	)	)	PUNCT
ejpam-3818	354	11	is	be	AUX
ejpam-3818	354	12	nonsingular	nonsingular	ADJ
ejpam-3818	354	13	because	because	SCONJ
ejpam-3818	354	14	z2,2−z2,1z−1	z2,2−z2,1z−1	PROPN
ejpam-3818	354	15	1,1z1,2	1,1z1,2	PROPN
ejpam-3818	354	16	is	be	AUX
ejpam-3818	354	17	a	a	DET
ejpam-3818	354	18	lower	low	ADJ
ejpam-3818	354	19	triangular	triangular	NOUN
ejpam-3818	354	20	invertible	invertible	ADJ
ejpam-3818	354	21	matrix	matrix	NOUN
ejpam-3818	354	22	(	(	PUNCT
ejpam-3818	354	23	see	see	VERB
ejpam-3818	354	24	[	[	X
ejpam-3818	354	25	9	9	NUM
ejpam-3818	354	26	]	]	PUNCT
ejpam-3818	354	27	)	)	PUNCT
ejpam-3818	354	28	and	and	CCONJ
ejpam-3818	354	29	det(z2,2−z2,1z−1	det(z2,2−z2,1z−1	NOUN
ejpam-3818	354	30	1,1z1,2	1,1z1,2	NUM
ejpam-3818	354	31	)	)	PUNCT
ejpam-3818	354	32	det(z1,1	det(z1,1	NOUN
ejpam-3818	354	33	)	)	PUNCT
ejpam-3818	354	34	6=	6=	ADP
ejpam-3818	354	35	0	0	X
ejpam-3818	354	36	.	.	PUNCT
ejpam-3818	355	1	this	this	PRON
ejpam-3818	355	2	implies	imply	VERB
ejpam-3818	355	3	det(zsystem	det(zsystem	NOUN
ejpam-3818	355	4	)	)	PUNCT
ejpam-3818	355	5	=	=	SYM
ejpam-3818	355	6	det(z1,1)det(z2,2−z2,1z−1	det(z1,1)det(z2,2−z2,1z−1	PROPN
ejpam-3818	355	7	1,1z1,2	1,1z1,2	NUM
ejpam-3818	355	8	)	)	PUNCT
ejpam-3818	355	9	.	.	PUNCT
ejpam-3818	356	1	o.	o.	PROPN
ejpam-3818	356	2	babarinsa	babarinsa	PROPN
ejpam-3818	356	3	et	et	PROPN
ejpam-3818	356	4	al	al	PROPN
ejpam-3818	356	5	.	.	PUNCT
ejpam-3818	356	6	/	/	SYM
ejpam-3818	356	7	eur	eur	PROPN
ejpam-3818	356	8	.	.	PUNCT
ejpam-3818	357	1	j.	j.	PROPN
ejpam-3818	357	2	pure	pure	PROPN
ejpam-3818	357	3	appl	appl	PROPN
ejpam-3818	357	4	.	.	PROPN
ejpam-3818	357	5	math	math	PROPN
ejpam-3818	357	6	,	,	PUNCT
ejpam-3818	357	7	13	13	NUM
ejpam-3818	357	8	(	(	PUNCT
ejpam-3818	357	9	4	4	NUM
ejpam-3818	357	10	)	)	PUNCT
ejpam-3818	357	11	(	(	PUNCT
ejpam-3818	357	12	2020	2020	NUM
ejpam-3818	357	13	)	)	PUNCT
ejpam-3818	357	14	,	,	PUNCT
ejpam-3818	357	15	1035	1035	NUM
ejpam-3818	357	16	-	-	SYM
ejpam-3818	357	17	1054	1054	NUM
ejpam-3818	357	18	1051	1051	NUM
ejpam-3818	357	19	hence	hence	ADV
ejpam-3818	358	1	,	,	PUNCT
ejpam-3818	358	2	the	the	DET
ejpam-3818	358	3	schur	schur	PROPN
ejpam-3818	358	4	complement	complement	PROPN
ejpam-3818	358	5	of	of	ADP
ejpam-3818	358	6	zsystem	zsystem	NOUN
ejpam-3818	358	7	depends	depend	VERB
ejpam-3818	358	8	on	on	ADP
ejpam-3818	358	9	the	the	DET
ejpam-3818	358	10	existence	existence	NOUN
ejpam-3818	358	11	of	of	ADP
ejpam-3818	358	12	nonsingular	nonsingular	ADJ
ejpam-3818	358	13	z	z	NOUN
ejpam-3818	358	14	-	-	PUNCT
ejpam-3818	358	15	matrix	matrix	NOUN
ejpam-3818	358	16	.	.	PUNCT
ejpam-3818	359	1	corollary	corollary	ADJ
ejpam-3818	359	2	2	2	NUM
ejpam-3818	359	3	.	.	X
ejpam-3818	359	4	zsystem	zsystem	NOUN
ejpam-3818	359	5	is	be	AUX
ejpam-3818	359	6	a	a	DET
ejpam-3818	359	7	matrix	matrix	NOUN
ejpam-3818	359	8	group	group	NOUN
ejpam-3818	359	9	of	of	ADP
ejpam-3818	359	10	degree	degree	NOUN
ejpam-3818	359	11	2	2	NUM
ejpam-3818	359	12	over	over	ADP
ejpam-3818	359	13	r.	r.	NOUN
ejpam-3818	359	14	proof	proof	NOUN
ejpam-3818	359	15	.	.	PUNCT
ejpam-3818	360	1	let	let	VERB
ejpam-3818	360	2	gl(n	gl(n	NUM
ejpam-3818	360	3	,	,	PUNCT
ejpam-3818	360	4	r	r	NOUN
ejpam-3818	360	5	)	)	PUNCT
ejpam-3818	360	6	be	be	AUX
ejpam-3818	360	7	the	the	DET
ejpam-3818	360	8	matrix	matrix	NOUN
ejpam-3818	360	9	group	group	NOUN
ejpam-3818	360	10	of	of	ADP
ejpam-3818	360	11	order	order	NOUN
ejpam-3818	360	12	n	n	CCONJ
ejpam-3818	360	13	over	over	ADP
ejpam-3818	360	14	r	r	NOUN
ejpam-3818	360	15	satisfying	satisfying	NOUN
ejpam-3818	360	16	matrix	matrix	NOUN
ejpam-3818	360	17	multiplication	multiplication	NOUN
ejpam-3818	360	18	and	and	CCONJ
ejpam-3818	360	19	mn(r	mn(r	NOUN
ejpam-3818	360	20	)	)	PUNCT
ejpam-3818	360	21	the	the	DET
ejpam-3818	360	22	size	size	NOUN
ejpam-3818	360	23	of	of	ADP
ejpam-3818	360	24	the	the	DET
ejpam-3818	360	25	matrix	matrix	NOUN
ejpam-3818	360	26	.	.	PUNCT
ejpam-3818	361	1	let	let	VERB
ejpam-3818	361	2	the	the	DET
ejpam-3818	361	3	matrix	matrix	NOUN
ejpam-3818	361	4	group	group	NOUN
ejpam-3818	361	5	of	of	ADP
ejpam-3818	361	6	zsystem	zsystem	PROPN
ejpam-3818	361	7	be	be	AUX
ejpam-3818	361	8	glzs(2,r	glzs(2,r	PROPN
ejpam-3818	361	9	)	)	PUNCT
ejpam-3818	361	10	of	of	ADP
ejpam-3818	361	11	degree	degree	NOUN
ejpam-3818	361	12	2	2	NUM
ejpam-3818	361	13	over	over	ADP
ejpam-3818	361	14	r	r	NOUN
ejpam-3818	361	15	defined	define	VERB
ejpam-3818	361	16	as	as	ADP
ejpam-3818	361	17	glzs(2,r	glzs(2,r	NOUN
ejpam-3818	361	18	)	)	PUNCT
ejpam-3818	361	19	=	=	PRON
ejpam-3818	361	20	{	{	PUNCT
ejpam-3818	362	1	zs	zs	X
ejpam-3818	362	2	=	=	PUNCT
ejpam-3818	362	3	[	[	PUNCT
ejpam-3818	362	4	z1,1	z1,1	INTJ
ejpam-3818	362	5	z1,2	z1,2	ADJ
ejpam-3818	362	6	z2,1	z2,1	NUM
ejpam-3818	362	7	z2,2	z2,2	PROPN
ejpam-3818	362	8	]	]	PUNCT
ejpam-3818	362	9	:	:	PUNCT
ejpam-3818	362	10	det(zs	det(zs	X
ejpam-3818	362	11	)	)	PUNCT
ejpam-3818	362	12	=	=	SYM
ejpam-3818	363	1	z1,1z2,2−z1,2z2,1	z1,1z2,2−z1,2z2,1	NUM
ejpam-3818	363	2	6=	6=	NUM
ejpam-3818	363	3	0	0	NUM
ejpam-3818	363	4	}	}	PUNCT
ejpam-3818	363	5	since	since	SCONJ
ejpam-3818	363	6	glzs(2,r	glzs(2,r	NOUN
ejpam-3818	363	7	)	)	PUNCT
ejpam-3818	363	8	is	be	AUX
ejpam-3818	363	9	an	an	DET
ejpam-3818	363	10	invertible	invertible	ADJ
ejpam-3818	363	11	matrix	matrix	NOUN
ejpam-3818	363	12	based	base	VERB
ejpam-3818	363	13	on	on	ADP
ejpam-3818	363	14	proposition	proposition	NOUN
ejpam-3818	363	15	2	2	NUM
ejpam-3818	363	16	,	,	PUNCT
ejpam-3818	363	17	then	then	ADV
ejpam-3818	363	18	there	there	PRON
ejpam-3818	363	19	exists	exist	VERB
ejpam-3818	363	20	an	an	DET
ejpam-3818	363	21	inverse	inverse	NOUN
ejpam-3818	363	22	such	such	ADJ
ejpam-3818	363	23	that	that	SCONJ
ejpam-3818	363	24	its	its	PRON
ejpam-3818	363	25	identity	identity	NOUN
ejpam-3818	363	26	is	be	AUX
ejpam-3818	363	27	i2	i2	PROPN
ejpam-3818	363	28	(	(	PUNCT
ejpam-3818	363	29	that	that	PRON
ejpam-3818	363	30	is	be	AUX
ejpam-3818	363	31	i2zsi2	i2zsi2	NOUN
ejpam-3818	363	32	=	=	SYM
ejpam-3818	363	33	zs	zs	PROPN
ejpam-3818	363	34	)	)	PUNCT
ejpam-3818	363	35	.	.	PUNCT
ejpam-3818	364	1	to	to	PART
ejpam-3818	364	2	see	see	VERB
ejpam-3818	364	3	that	that	DET
ejpam-3818	364	4	glzs(2,r	glzs(2,r	NOUN
ejpam-3818	364	5	)	)	PUNCT
ejpam-3818	364	6	is	be	AUX
ejpam-3818	364	7	closed	close	VERB
ejpam-3818	364	8	under	under	ADP
ejpam-3818	364	9	matrix	matrix	NOUN
ejpam-3818	364	10	multiplication	multiplication	NOUN
ejpam-3818	364	11	,	,	PUNCT
ejpam-3818	364	12	we	we	PRON
ejpam-3818	364	13	let	let	VERB
ejpam-3818	364	14	zs(k),zs(m),zs(n	zs(k),zs(m),zs(n	NUM
ejpam-3818	364	15	)	)	PUNCT
ejpam-3818	364	16	∈	∈	PROPN
ejpam-3818	364	17	m2(r	m2(r	PROPN
ejpam-3818	364	18	)	)	PUNCT
ejpam-3818	364	19	=	=	PUNCT
ejpam-3818	365	1	zs	zs	PROPN
ejpam-3818	365	2	such	such	ADJ
ejpam-3818	365	3	that	that	PRON
ejpam-3818	365	4	zs(k	zs(k	NUM
ejpam-3818	365	5	)	)	PUNCT
ejpam-3818	365	6	=	=	SYM
ejpam-3818	365	7	{	{	PUNCT
ejpam-3818	365	8	ki	ki	PROPN
ejpam-3818	365	9	,	,	PUNCT
ejpam-3818	365	10	j	j	PROPN
ejpam-3818	365	11	}	}	PUNCT
ejpam-3818	365	12	,	,	PUNCT
ejpam-3818	365	13	zs(m	zs(m	NUM
ejpam-3818	365	14	)	)	PUNCT
ejpam-3818	365	15	=	=	SYM
ejpam-3818	365	16	{	{	PUNCT
ejpam-3818	365	17	mi	mi	PROPN
ejpam-3818	365	18	,	,	PUNCT
ejpam-3818	365	19	j	j	PROPN
ejpam-3818	365	20	}	}	PUNCT
ejpam-3818	365	21	and	and	CCONJ
ejpam-3818	365	22	zs(n	zs(n	NOUN
ejpam-3818	365	23	)	)	PUNCT
ejpam-3818	366	1	=	=	PRON
ejpam-3818	366	2	{	{	PUNCT
ejpam-3818	366	3	ni	ni	PROPN
ejpam-3818	366	4	,	,	PUNCT
ejpam-3818	366	5	j	j	PROPN
ejpam-3818	366	6	}	}	PUNCT
ejpam-3818	366	7	.	.	PUNCT
ejpam-3818	367	1	then	then	ADV
ejpam-3818	367	2	the	the	DET
ejpam-3818	367	3	associativity	associativity	NOUN
ejpam-3818	367	4	holds	hold	VERB
ejpam-3818	367	5	as	as	ADP
ejpam-3818	367	6	(	(	PUNCT
ejpam-3818	367	7	zs(k	zs(k	NOUN
ejpam-3818	367	8	)	)	PUNCT
ejpam-3818	367	9	∗zs(m))∗zs(n	∗zs(m))∗zs(n	NOUN
ejpam-3818	367	10	)	)	PUNCT
ejpam-3818	368	1	=	=	SYM
ejpam-3818	368	2	(	(	PUNCT
ejpam-3818	368	3	(	(	PUNCT
ejpam-3818	368	4	ki	ki	INTJ
ejpam-3818	368	5	,	,	PUNCT
ejpam-3818	368	6	j)∗	j)∗	PROPN
ejpam-3818	368	7	(	(	PUNCT
ejpam-3818	368	8	mi	mi	PROPN
ejpam-3818	368	9	,	,	PUNCT
ejpam-3818	368	10	j))∗	j))∗	PROPN
ejpam-3818	368	11	(	(	PUNCT
ejpam-3818	368	12	ni	ni	PROPN
ejpam-3818	368	13	,	,	PUNCT
ejpam-3818	368	14	j	j	PROPN
ejpam-3818	368	15	)	)	PUNCT
ejpam-3818	368	16	=	=	PUNCT
ejpam-3818	368	17	(	(	PUNCT
ejpam-3818	368	18	2	2	NUM
ejpam-3818	368	19	∑	∑	PART
ejpam-3818	368	20	r=1	r=1	NOUN
ejpam-3818	368	21	ki	ki	PROPN
ejpam-3818	368	22	,	,	PUNCT
ejpam-3818	368	23	r	r	PROPN
ejpam-3818	368	24	mr	mr	PROPN
ejpam-3818	368	25	,	,	PUNCT
ejpam-3818	368	26	j	j	PROPN
ejpam-3818	368	27	)	)	PUNCT
ejpam-3818	368	28	∗	∗	PROPN
ejpam-3818	368	29	(	(	PUNCT
ejpam-3818	368	30	ni	ni	PROPN
ejpam-3818	368	31	,	,	PUNCT
ejpam-3818	368	32	j	j	PROPN
ejpam-3818	368	33	)	)	PUNCT
ejpam-3818	369	1	=	=	PUNCT
ejpam-3818	369	2	(	(	PUNCT
ejpam-3818	369	3	2	2	NUM
ejpam-3818	369	4	∑	∑	PART
ejpam-3818	369	5	s=1	s=1	X
ejpam-3818	369	6	(	(	PUNCT
ejpam-3818	369	7	2	2	NUM
ejpam-3818	369	8	∑	∑	PART
ejpam-3818	369	9	r=1	r=1	NOUN
ejpam-3818	369	10	ki	ki	PROPN
ejpam-3818	369	11	,	,	PUNCT
ejpam-3818	369	12	r	r	PROPN
ejpam-3818	369	13	mr	mr	PROPN
ejpam-3818	369	14	,	,	PUNCT
ejpam-3818	369	15	s	s	PART
ejpam-3818	369	16	)	)	PUNCT
ejpam-3818	369	17	∗	∗	NOUN
ejpam-3818	369	18	(	(	PUNCT
ejpam-3818	369	19	ns	ns	PROPN
ejpam-3818	369	20	,	,	PUNCT
ejpam-3818	369	21	j	j	NOUN
ejpam-3818	369	22	)	)	PUNCT
ejpam-3818	369	23	)	)	PUNCT
ejpam-3818	370	1	=	=	PUNCT
ejpam-3818	370	2	(	(	PUNCT
ejpam-3818	370	3	2	2	NUM
ejpam-3818	370	4	∑	∑	PROPN
ejpam-3818	370	5	s=1	s=1	PUNCT
ejpam-3818	370	6	ki	ki	PROPN
ejpam-3818	370	7	,	,	PUNCT
ejpam-3818	370	8	s	s	PART
ejpam-3818	370	9	∗	∗	NOUN
ejpam-3818	370	10	(	(	PUNCT
ejpam-3818	370	11	2	2	NUM
ejpam-3818	370	12	∑	∑	PART
ejpam-3818	370	13	r=1	r=1	NOUN
ejpam-3818	370	14	ms	ms	NOUN
ejpam-3818	370	15	,	,	PUNCT
ejpam-3818	370	16	r	r	PROPN
ejpam-3818	370	17	∗nr	∗nr	PROPN
ejpam-3818	370	18	,	,	PUNCT
ejpam-3818	370	19	j	j	NOUN
ejpam-3818	370	20	)	)	PUNCT
ejpam-3818	370	21	)	)	PUNCT
ejpam-3818	371	1	=	=	PRON
ejpam-3818	371	2	(	(	PUNCT
ejpam-3818	371	3	ki	ki	PROPN
ejpam-3818	371	4	,	,	PUNCT
ejpam-3818	371	5	j)∗	j)∗	PROPN
ejpam-3818	371	6	(	(	PUNCT
ejpam-3818	371	7	(	(	PUNCT
ejpam-3818	371	8	mi	mi	PROPN
ejpam-3818	371	9	,	,	PUNCT
ejpam-3818	371	10	j)∗	j)∗	PROPN
ejpam-3818	371	11	(	(	PUNCT
ejpam-3818	371	12	ni	ni	PROPN
ejpam-3818	371	13	,	,	PUNCT
ejpam-3818	371	14	j	j	NOUN
ejpam-3818	371	15	)	)	PUNCT
ejpam-3818	371	16	)	)	PUNCT
ejpam-3818	371	17	=	=	SYM
ejpam-3818	371	18	zs(k	zs(k	X
ejpam-3818	371	19	)	)	PUNCT
ejpam-3818	371	20	∗	∗	NOUN
ejpam-3818	371	21	(	(	PUNCT
ejpam-3818	371	22	zs(m	zs(m	NOUN
ejpam-3818	371	23	)	)	PUNCT
ejpam-3818	371	24	∗zs(n	∗zs(n	PROPN
ejpam-3818	371	25	)	)	PUNCT
ejpam-3818	371	26	)	)	PUNCT
ejpam-3818	371	27	.	.	PUNCT
ejpam-3818	372	1	corollary	corollary	ADJ
ejpam-3818	372	2	3	3	X
ejpam-3818	372	3	.	.	PUNCT
ejpam-3818	373	1	if	if	SCONJ
ejpam-3818	373	2	glzs(2,r	glzs(2,r	NOUN
ejpam-3818	373	3	)	)	PUNCT
ejpam-3818	373	4	is	be	AUX
ejpam-3818	373	5	the	the	DET
ejpam-3818	373	6	matrix	matrix	NOUN
ejpam-3818	373	7	group	group	NOUN
ejpam-3818	373	8	of	of	ADP
ejpam-3818	373	9	zsystem	zsystem	NOUN
ejpam-3818	373	10	with	with	ADP
ejpam-3818	373	11	degree	degree	NOUN
ejpam-3818	373	12	2	2	NUM
ejpam-3818	373	13	over	over	ADP
ejpam-3818	373	14	r	r	NOUN
ejpam-3818	373	15	,	,	PUNCT
ejpam-3818	373	16	then	then	ADV
ejpam-3818	373	17	glz(n	glz(n	NOUN
ejpam-3818	373	18	,	,	PUNCT
ejpam-3818	373	19	r	r	NOUN
ejpam-3818	373	20	)	)	PUNCT
ejpam-3818	373	21	is	be	AUX
ejpam-3818	373	22	the	the	DET
ejpam-3818	373	23	matrix	matrix	NOUN
ejpam-3818	373	24	group	group	NOUN
ejpam-3818	373	25	of	of	ADP
ejpam-3818	373	26	z	z	NOUN
ejpam-3818	373	27	-	-	NOUN
ejpam-3818	373	28	matrix	matrix	NOUN
ejpam-3818	373	29	with	with	ADP
ejpam-3818	373	30	degree	degree	NOUN
ejpam-3818	373	31	n	n	NOUN
ejpam-3818	373	32	over	over	ADP
ejpam-3818	373	33	r	r	NOUN
ejpam-3818	373	34	.	.	PUNCT
ejpam-3818	374	1	proof	proof	NOUN
ejpam-3818	374	2	.	.	PUNCT
ejpam-3818	375	1	let	let	VERB
ejpam-3818	375	2	glz(n	glz(n	NOUN
ejpam-3818	375	3	,	,	PUNCT
ejpam-3818	375	4	r	r	NOUN
ejpam-3818	375	5	)	)	PUNCT
ejpam-3818	375	6	be	be	AUX
ejpam-3818	375	7	a	a	DET
ejpam-3818	375	8	matrix	matrix	NOUN
ejpam-3818	375	9	group	group	NOUN
ejpam-3818	375	10	of	of	ADP
ejpam-3818	375	11	z	z	NOUN
ejpam-3818	375	12	-	-	NOUN
ejpam-3818	375	13	matrix	matrix	NOUN
ejpam-3818	375	14	of	of	ADP
ejpam-3818	375	15	order	order	NOUN
ejpam-3818	375	16	n	n	CCONJ
ejpam-3818	375	17	over	over	ADP
ejpam-3818	375	18	r	r	NOUN
ejpam-3818	375	19	and	and	CCONJ
ejpam-3818	375	20	glzs(2,r	glzs(2,r	PROPN
ejpam-3818	375	21	)	)	PUNCT
ejpam-3818	375	22	be	be	VERB
ejpam-3818	375	23	the	the	DET
ejpam-3818	375	24	matrix	matrix	NOUN
ejpam-3818	375	25	group	group	NOUN
ejpam-3818	375	26	of	of	ADP
ejpam-3818	375	27	zsystem	zsystem	NOUN
ejpam-3818	375	28	of	of	ADP
ejpam-3818	375	29	order	order	NOUN
ejpam-3818	375	30	2	2	NUM
ejpam-3818	375	31	over	over	ADP
ejpam-3818	375	32	r.	r.	PROPN
ejpam-3818	375	33	from	from	ADP
ejpam-3818	375	34	proposition	proposition	NOUN
ejpam-3818	375	35	2	2	NUM
ejpam-3818	375	36	,	,	PUNCT
ejpam-3818	375	37	zsystem	zsystem	NOUN
ejpam-3818	375	38	is	be	AUX
ejpam-3818	375	39	the	the	DET
ejpam-3818	375	40	2×2	2×2	NUM
ejpam-3818	375	41	triangular	triangular	NOUN
ejpam-3818	375	42	block	block	NOUN
ejpam-3818	375	43	matrices	matrix	NOUN
ejpam-3818	375	44	partitioned	partition	VERB
ejpam-3818	375	45	from	from	ADP
ejpam-3818	375	46	z	z	NOUN
ejpam-3818	375	47	-	-	NOUN
ejpam-3818	375	48	matrix	matrix	NOUN
ejpam-3818	375	49	of	of	ADP
ejpam-3818	375	50	order	order	NOUN
ejpam-3818	375	51	n.	n.	NOUN
ejpam-3818	375	52	since	since	SCONJ
ejpam-3818	375	53	zsystem	zsystem	NOUN
ejpam-3818	375	54	is	be	AUX
ejpam-3818	375	55	a	a	DET
ejpam-3818	375	56	matrix	matrix	NOUN
ejpam-3818	375	57	group	group	NOUN
ejpam-3818	375	58	,	,	PUNCT
ejpam-3818	375	59	based	base	VERB
ejpam-3818	375	60	on	on	ADP
ejpam-3818	375	61	corollary	corollary	ADJ
ejpam-3818	375	62	2	2	NUM
ejpam-3818	375	63	,	,	PUNCT
ejpam-3818	375	64	in	in	ADP
ejpam-3818	375	65	which	which	PRON
ejpam-3818	375	66	zsystem	zsystem	NOUN
ejpam-3818	375	67	is	be	AUX
ejpam-3818	375	68	a	a	DET
ejpam-3818	375	69	subset	subset	ADJ
ejpam-3818	375	70	z	z	NOUN
ejpam-3818	375	71	-	-	NOUN
ejpam-3818	375	72	matrix	matrix	NOUN
ejpam-3818	375	73	.	.	PUNCT
ejpam-3818	376	1	conspicuously	conspicuously	ADV
ejpam-3818	376	2	z	z	NOUN
ejpam-3818	376	3	-	-	PUNCT
ejpam-3818	376	4	matrix	matrix	NOUN
ejpam-3818	376	5	has	have	VERB
ejpam-3818	376	6	axioms	axiom	NOUN
ejpam-3818	376	7	of	of	ADP
ejpam-3818	376	8	a	a	DET
ejpam-3818	376	9	matrix	matrix	NOUN
ejpam-3818	376	10	group	group	NOUN
ejpam-3818	376	11	which	which	PRON
ejpam-3818	376	12	is	be	AUX
ejpam-3818	376	13	invertible	invertible	ADJ
ejpam-3818	376	14	and	and	CCONJ
ejpam-3818	376	15	closed	close	VERB
ejpam-3818	376	16	under	under	ADP
ejpam-3818	376	17	matrix	matrix	NOUN
ejpam-3818	376	18	multiplication	multiplication	NOUN
ejpam-3818	376	19	with	with	ADP
ejpam-3818	376	20	property	property	NOUN
ejpam-3818	376	21	of	of	ADP
ejpam-3818	376	22	associativity	associativity	NOUN
ejpam-3818	376	23	.	.	PUNCT
ejpam-3818	377	1	4	4	X
ejpam-3818	377	2	.	.	X
ejpam-3818	377	3	conclusions	conclusion	NOUN
ejpam-3818	377	4	the	the	DET
ejpam-3818	377	5	advantage	advantage	NOUN
ejpam-3818	377	6	of	of	ADP
ejpam-3818	377	7	optimized	optimize	VERB
ejpam-3818	377	8	cramer	cramer	NOUN
ejpam-3818	377	9	’s	’s	PART
ejpam-3818	377	10	rule	rule	NOUN
ejpam-3818	377	11	over	over	ADP
ejpam-3818	377	12	classical	classical	ADJ
ejpam-3818	377	13	cramer	cramer	PROPN
ejpam-3818	377	14	’s	’s	PART
ejpam-3818	377	15	rule	rule	NOUN
ejpam-3818	377	16	to	to	PART
ejpam-3818	377	17	solve	solve	VERB
ejpam-3818	377	18	2×	2×	NUM
ejpam-3818	377	19	2	2	NUM
ejpam-3818	377	20	linear	linear	NOUN
ejpam-3818	377	21	systems	system	NOUN
ejpam-3818	377	22	in	in	ADP
ejpam-3818	377	23	wz	wz	ADP
ejpam-3818	377	24	factorization	factorization	NOUN
ejpam-3818	377	25	is	be	AUX
ejpam-3818	377	26	to	to	PART
ejpam-3818	377	27	obtain	obtain	VERB
ejpam-3818	377	28	good	good	ADJ
ejpam-3818	377	29	floating	float	VERB
ejpam-3818	377	30	points	point	NOUN
ejpam-3818	377	31	and	and	CCONJ
ejpam-3818	377	32	to	to	PART
ejpam-3818	377	33	minimize	minimize	VERB
ejpam-3818	377	34	round	round	VERB
ejpam-3818	377	35	-	-	PUNCT
ejpam-3818	377	36	off	off	ADP
ejpam-3818	377	37	error	error	NOUN
ejpam-3818	377	38	without	without	ADP
ejpam-3818	377	39	loss	loss	NOUN
ejpam-3818	377	40	of	of	ADP
ejpam-3818	377	41	generality	generality	NOUN
ejpam-3818	377	42	in	in	ADP
ejpam-3818	377	43	the	the	DET
ejpam-3818	377	44	coefficient	coefficient	NOUN
ejpam-3818	377	45	matrix	matrix	NOUN
ejpam-3818	377	46	of	of	ADP
ejpam-3818	377	47	linear	linear	PROPN
ejpam-3818	377	48	systems	system	NOUN
ejpam-3818	377	49	.	.	PUNCT
ejpam-3818	378	1	although	although	SCONJ
ejpam-3818	378	2	,	,	PUNCT
ejpam-3818	378	3	the	the	DET
ejpam-3818	378	4	optimized	optimize	VERB
ejpam-3818	378	5	references	reference	NOUN
ejpam-3818	378	6	1052	1052	NUM
ejpam-3818	378	7	cramer	cramer	PROPN
ejpam-3818	378	8	’s	’s	PART
ejpam-3818	378	9	rule	rule	NOUN
ejpam-3818	378	10	has	have	VERB
ejpam-3818	378	11	high	high	ADJ
ejpam-3818	378	12	performance	performance	NOUN
ejpam-3818	378	13	time	time	NOUN
ejpam-3818	378	14	than	than	ADP
ejpam-3818	378	15	vwz	vwz	NOUN
ejpam-3818	378	16	factorization	factorization	NOUN
ejpam-3818	378	17	and	and	CCONJ
ejpam-3818	378	18	low	low	ADJ
ejpam-3818	378	19	performance	performance	NOUN
ejpam-3818	378	20	time	time	NOUN
ejpam-3818	378	21	than	than	SCONJ
ejpam-3818	378	22	wz	wz	ADP
ejpam-3818	378	23	factorization	factorization	NOUN
ejpam-3818	378	24	,	,	PUNCT
ejpam-3818	378	25	the	the	DET
ejpam-3818	378	26	method	method	NOUN
ejpam-3818	378	27	produces	produce	VERB
ejpam-3818	378	28	better	well	ADJ
ejpam-3818	378	29	matrix	matrix	NOUN
ejpam-3818	378	30	norms	norm	NOUN
ejpam-3818	378	31	than	than	ADP
ejpam-3818	378	32	all	all	DET
ejpam-3818	378	33	other	other	ADJ
ejpam-3818	378	34	factorization	factorization	NOUN
ejpam-3818	378	35	algorithms	algorithm	NOUN
ejpam-3818	378	36	,	,	PUNCT
ejpam-3818	378	37	irrespective	irrespective	ADV
ejpam-3818	378	38	of	of	ADP
ejpam-3818	378	39	the	the	DET
ejpam-3818	378	40	processors	processor	NOUN
ejpam-3818	378	41	used	use	VERB
ejpam-3818	378	42	.	.	PUNCT
ejpam-3818	379	1	we	we	PRON
ejpam-3818	379	2	passionately	passionately	ADV
ejpam-3818	379	3	advocate	advocate	VERB
ejpam-3818	379	4	that	that	SCONJ
ejpam-3818	379	5	w	w	PROPN
ejpam-3818	379	6	ozo	ozo	PROPN
ejpam-3818	379	7	factorization	factorization	NOUN
ejpam-3818	379	8	should	should	AUX
ejpam-3818	379	9	be	be	AUX
ejpam-3818	379	10	compared	compare	VERB
ejpam-3818	379	11	with	with	ADP
ejpam-3818	379	12	lu	lu	PROPN
ejpam-3818	379	13	,	,	PUNCT
ejpam-3818	379	14	wz	wz	NOUN
ejpam-3818	379	15	and	and	CCONJ
ejpam-3818	379	16	vwz	vwz	NOUN
ejpam-3818	379	17	factorization	factorization	NOUN
ejpam-3818	379	18	on	on	ADP
ejpam-3818	379	19	shared	share	VERB
ejpam-3818	379	20	memory	memory	NOUN
ejpam-3818	379	21	parallel	parallel	ADJ
ejpam-3818	379	22	computers	computer	NOUN
ejpam-3818	379	23	or	or	CCONJ
ejpam-3818	379	24	mesh	mesh	NOUN
ejpam-3818	379	25	multiprocessors	multiprocessor	NOUN
ejpam-3818	379	26	.	.	PUNCT
ejpam-3818	380	1	acknowledgements	acknowledgement	NOUN
ejpam-3818	380	2	this	this	DET
ejpam-3818	380	3	research	research	NOUN
ejpam-3818	380	4	is	be	AUX
ejpam-3818	380	5	funded	fund	VERB
ejpam-3818	380	6	by	by	ADP
ejpam-3818	380	7	ministry	ministry	PROPN
ejpam-3818	380	8	of	of	ADP
ejpam-3818	380	9	higher	high	ADJ
ejpam-3818	380	10	education	education	NOUN
ejpam-3818	380	11	malaysia	malaysia	PROPN
ejpam-3818	380	12	(	(	PUNCT
ejpam-3818	380	13	frgs	frgs	PROPN
ejpam-3818	380	14	race	race	PROPN
ejpam-3818	380	15	)	)	PUNCT
ejpam-3818	380	16	,	,	PUNCT
ejpam-3818	380	17	grant	grant	VERB
ejpam-3818	380	18	number	number	NOUN
ejpam-3818	380	19	r	r	NOUN
ejpam-3818	380	20	/	/	SYM
ejpam-3818	380	21	frgs	frgs	PROPN
ejpam-3818	380	22	/	/	SYM
ejpam-3818	380	23	a0100/01258a/003/2019/00670	a0100/01258a/003/2019/00670	PROPN
ejpam-3818	380	24	.	.	PUNCT
ejpam-3818	381	1	references	reference	NOUN
ejpam-3818	381	2	[	[	X
ejpam-3818	381	3	1	1	X
ejpam-3818	381	4	]	]	PUNCT
ejpam-3818	381	5	d.	d.	PROPN
ejpam-3818	381	6	ahmed	ahmed	PROPN
ejpam-3818	381	7	and	and	CCONJ
ejpam-3818	381	8	n.	n.	PROPN
ejpam-3818	381	9	askar	askar	PROPN
ejpam-3818	381	10	.	.	PUNCT
ejpam-3818	382	1	parallelize	parallelize	NOUN
ejpam-3818	382	2	and	and	CCONJ
ejpam-3818	382	3	analysis	analysis	NOUN
ejpam-3818	382	4	lu	lu	NOUN
ejpam-3818	382	5	factorization	factorization	NOUN
ejpam-3818	382	6	and	and	CCONJ
ejpam-3818	382	7	quadrant	quadrant	NOUN
ejpam-3818	382	8	interlocking	interlock	VERB
ejpam-3818	382	9	factorization	factorization	NOUN
ejpam-3818	382	10	algorithm	algorithm	NOUN
ejpam-3818	382	11	in	in	ADP
ejpam-3818	382	12	openmp	openmp	PROPN
ejpam-3818	382	13	.	.	PUNCT
ejpam-3818	383	1	journal	journal	PROPN
ejpam-3818	383	2	of	of	ADP
ejpam-3818	383	3	duhok	duhok	PROPN
ejpam-3818	383	4	university	university	PROPN
ejpam-3818	383	5	,	,	PUNCT
ejpam-3818	383	6	20(1):46–53	20(1):46–53	NUM
ejpam-3818	383	7	,	,	PUNCT
ejpam-3818	383	8	2018	2018	NUM
ejpam-3818	383	9	.	.	PUNCT
ejpam-3818	384	1	[	[	X
ejpam-3818	384	2	2	2	NUM
ejpam-3818	384	3	]	]	PUNCT
ejpam-3818	384	4	a.	a.	NOUN
ejpam-3818	384	5	aitken	aitken	PROPN
ejpam-3818	384	6	.	.	PUNCT
ejpam-3818	385	1	determinants	determinant	NOUN
ejpam-3818	385	2	and	and	CCONJ
ejpam-3818	385	3	matrices	matrix	NOUN
ejpam-3818	385	4	.	.	PUNCT
ejpam-3818	386	1	interscience	interscience	NOUN
ejpam-3818	386	2	publishers	publisher	NOUN
ejpam-3818	386	3	,	,	PUNCT
ejpam-3818	386	4	new	new	PROPN
ejpam-3818	386	5	york	york	PROPN
ejpam-3818	386	6	,	,	PUNCT
ejpam-3818	386	7	1956	1956	NUM
ejpam-3818	386	8	.	.	PUNCT
ejpam-3818	387	1	[	[	X
ejpam-3818	387	2	3	3	X
ejpam-3818	387	3	]	]	X
ejpam-3818	387	4	r.	r.	PROPN
ejpam-3818	387	5	asenjo	asenjo	PROPN
ejpam-3818	387	6	,	,	PUNCT
ejpam-3818	387	7	m.	m.	NOUN
ejpam-3818	387	8	ujaldon	ujaldon	PROPN
ejpam-3818	387	9	,	,	PUNCT
ejpam-3818	387	10	and	and	CCONJ
ejpam-3818	387	11	e.	e.	PROPN
ejpam-3818	387	12	zapata	zapata	PROPN
ejpam-3818	387	13	.	.	PUNCT
ejpam-3818	388	1	parallel	parallel	NOUN
ejpam-3818	388	2	wz	wz	ADP
ejpam-3818	388	3	factorization	factorization	NOUN
ejpam-3818	388	4	on	on	ADP
ejpam-3818	388	5	mesh	mesh	NOUN
ejpam-3818	388	6	multiprocessors	multiprocessor	NOUN
ejpam-3818	388	7	.	.	PUNCT
ejpam-3818	389	1	microprocessing	microprocesse	VERB
ejpam-3818	389	2	and	and	CCONJ
ejpam-3818	389	3	microprogramming	microprogramming	NOUN
ejpam-3818	389	4	,	,	PUNCT
ejpam-3818	389	5	38(5):319–326	38(5):319–326	NUM
ejpam-3818	389	6	,	,	PUNCT
ejpam-3818	389	7	1993	1993	NUM
ejpam-3818	389	8	.	.	PUNCT
ejpam-3818	390	1	[	[	X
ejpam-3818	390	2	4	4	NUM
ejpam-3818	390	3	]	]	X
ejpam-3818	390	4	o.	o.	NOUN
ejpam-3818	390	5	babarinsa	babarinsa	PROPN
ejpam-3818	390	6	,	,	PUNCT
ejpam-3818	390	7	m.	m.	NOUN
ejpam-3818	390	8	arif	arif	PROPN
ejpam-3818	390	9	,	,	PUNCT
ejpam-3818	390	10	and	and	CCONJ
ejpam-3818	390	11	h.	h.	PROPN
ejpam-3818	390	12	kamarulhaili	kamarulhaili	PROPN
ejpam-3818	390	13	.	.	PUNCT
ejpam-3818	391	1	potential	potential	ADJ
ejpam-3818	391	2	applications	application	NOUN
ejpam-3818	391	3	of	of	ADP
ejpam-3818	391	4	hourglass	hourglass	NOUN
ejpam-3818	391	5	matrix	matrix	NOUN
ejpam-3818	391	6	and	and	CCONJ
ejpam-3818	391	7	its	its	PRON
ejpam-3818	391	8	quadrant	quadrant	NOUN
ejpam-3818	391	9	interlocking	interlock	VERB
ejpam-3818	391	10	factorization	factorization	NOUN
ejpam-3818	391	11	.	.	PUNCT
ejpam-3818	392	1	asm	asm	NOUN
ejpam-3818	392	2	science	science	NOUN
ejpam-3818	392	3	journal	journal	PROPN
ejpam-3818	392	4	,	,	PUNCT
ejpam-3818	392	5	12(5s):28–38	12(5s):28–38	NUM
ejpam-3818	392	6	,	,	PUNCT
ejpam-3818	392	7	2019	2019	NUM
ejpam-3818	392	8	.	.	PUNCT
ejpam-3818	393	1	[	[	X
ejpam-3818	393	2	5	5	NUM
ejpam-3818	393	3	]	]	PUNCT
ejpam-3818	393	4	o.	o.	NOUN
ejpam-3818	393	5	babarinsa	babarinsa	PROPN
ejpam-3818	393	6	and	and	CCONJ
ejpam-3818	393	7	h.	h.	PROPN
ejpam-3818	393	8	kamarulhaili	kamarulhaili	PROPN
ejpam-3818	393	9	.	.	PUNCT
ejpam-3818	394	1	modified	modify	VERB
ejpam-3818	394	2	cramer	cramer	PROPN
ejpam-3818	394	3	’s	’s	PART
ejpam-3818	394	4	rule	rule	NOUN
ejpam-3818	394	5	and	and	CCONJ
ejpam-3818	394	6	its	its	PRON
ejpam-3818	394	7	application	application	NOUN
ejpam-3818	394	8	to	to	PART
ejpam-3818	394	9	solve	solve	VERB
ejpam-3818	394	10	linear	linear	ADJ
ejpam-3818	394	11	systems	system	NOUN
ejpam-3818	394	12	in	in	ADP
ejpam-3818	394	13	wz	wz	ADP
ejpam-3818	394	14	factorization	factorization	NOUN
ejpam-3818	394	15	.	.	PUNCT
ejpam-3818	395	1	matematika	matematika	PROPN
ejpam-3818	395	2	,	,	PUNCT
ejpam-3818	395	3	35(1):25–38	35(1):25–38	NUM
ejpam-3818	395	4	,	,	PUNCT
ejpam-3818	395	5	2018	2018	NUM
ejpam-3818	395	6	.	.	PUNCT
ejpam-3818	396	1	[	[	X
ejpam-3818	396	2	6	6	NUM
ejpam-3818	396	3	]	]	PUNCT
ejpam-3818	396	4	o.	o.	NOUN
ejpam-3818	396	5	babarinsa	babarinsa	PROPN
ejpam-3818	396	6	and	and	CCONJ
ejpam-3818	396	7	h.	h.	PROPN
ejpam-3818	396	8	kamarulhaili	kamarulhaili	PROPN
ejpam-3818	396	9	.	.	PUNCT
ejpam-3818	397	1	quadrant	quadrant	ADJ
ejpam-3818	397	2	interlocking	interlock	VERB
ejpam-3818	397	3	factorization	factorization	NOUN
ejpam-3818	397	4	of	of	ADP
ejpam-3818	397	5	hourglass	hourglass	NOUN
ejpam-3818	397	6	matrix	matrix	NOUN
ejpam-3818	397	7	.	.	PUNCT
ejpam-3818	398	1	in	in	ADP
ejpam-3818	398	2	aip	aip	PROPN
ejpam-3818	398	3	conference	conference	NOUN
ejpam-3818	398	4	proceedings	proceeding	NOUN
ejpam-3818	398	5	,	,	PUNCT
ejpam-3818	398	6	volume	volume	NOUN
ejpam-3818	398	7	1974	1974	NUM
ejpam-3818	398	8	,	,	PUNCT
ejpam-3818	398	9	pages	page	NOUN
ejpam-3818	398	10	030009:1–9	030009:1–9	PROPN
ejpam-3818	398	11	.	.	PUNCT
ejpam-3818	398	12	aip	aip	PROPN
ejpam-3818	398	13	publishing	publishing	PROPN
ejpam-3818	398	14	,	,	PUNCT
ejpam-3818	398	15	2018	2018	NUM
ejpam-3818	398	16	.	.	PUNCT
ejpam-3818	399	1	[	[	X
ejpam-3818	399	2	7	7	NUM
ejpam-3818	399	3	]	]	PUNCT
ejpam-3818	399	4	a.	a.	NOUN
ejpam-3818	399	5	benaini	benaini	PROPN
ejpam-3818	399	6	and	and	CCONJ
ejpam-3818	399	7	d.	d.	PROPN
ejpam-3818	399	8	laiymani	laiymani	PROPN
ejpam-3818	399	9	.	.	PUNCT
ejpam-3818	400	1	generalized	generalize	VERB
ejpam-3818	400	2	wz	wz	ADP
ejpam-3818	400	3	factorization	factorization	NOUN
ejpam-3818	400	4	on	on	ADP
ejpam-3818	400	5	a	a	DET
ejpam-3818	400	6	reconfigurable	reconfigurable	ADJ
ejpam-3818	400	7	machine	machine	NOUN
ejpam-3818	400	8	.	.	PUNCT
ejpam-3818	401	1	parallel	parallel	ADJ
ejpam-3818	401	2	algorithms	algorithms	NOUN
ejpam-3818	401	3	appl	appl	NOUN
ejpam-3818	401	4	.	.	PROPN
ejpam-3818	401	5	,	,	PUNCT
ejpam-3818	401	6	3(4):261–269	3(4):261–269	NUM
ejpam-3818	401	7	,	,	PUNCT
ejpam-3818	401	8	1994	1994	NUM
ejpam-3818	401	9	.	.	PUNCT
ejpam-3818	402	1	[	[	X
ejpam-3818	402	2	8	8	NUM
ejpam-3818	402	3	]	]	X
ejpam-3818	402	4	m.	m.	NOUN
ejpam-3818	402	5	brunetti	brunetti	NOUN
ejpam-3818	402	6	and	and	CCONJ
ejpam-3818	402	7	a.	a.	NOUN
ejpam-3818	402	8	renato	renato	PROPN
ejpam-3818	402	9	.	.	PUNCT
ejpam-3818	403	1	old	old	ADJ
ejpam-3818	403	2	and	and	CCONJ
ejpam-3818	403	3	new	new	ADJ
ejpam-3818	403	4	proofs	proof	NOUN
ejpam-3818	403	5	of	of	ADP
ejpam-3818	403	6	cramer	cramer	PROPN
ejpam-3818	403	7	’s	’s	PART
ejpam-3818	403	8	rule	rule	NOUN
ejpam-3818	403	9	.	.	PUNCT
ejpam-3818	404	1	appl	appl	PROPN
ejpam-3818	404	2	.	.	PROPN
ejpam-3818	404	3	math	math	PROPN
ejpam-3818	404	4	.	.	PUNCT
ejpam-3818	405	1	sci	sci	PROPN
ejpam-3818	405	2	.	.	PROPN
ejpam-3818	405	3	,	,	PUNCT
ejpam-3818	405	4	8(133):6689–6697	8(133):6689–6697	NUM
ejpam-3818	405	5	,	,	PUNCT
ejpam-3818	405	6	2014	2014	NUM
ejpam-3818	405	7	.	.	PUNCT
ejpam-3818	406	1	[	[	X
ejpam-3818	406	2	9	9	NUM
ejpam-3818	406	3	]	]	PUNCT
ejpam-3818	406	4	b.	b.	PROPN
ejpam-3818	406	5	bylina	bylina	PROPN
ejpam-3818	406	6	.	.	PUNCT
ejpam-3818	407	1	the	the	DET
ejpam-3818	407	2	block	block	NOUN
ejpam-3818	407	3	wz	wz	ADP
ejpam-3818	407	4	factorization	factorization	NOUN
ejpam-3818	407	5	.	.	PUNCT
ejpam-3818	408	1	j.	j.	PROPN
ejpam-3818	408	2	comput	comput	PROPN
ejpam-3818	408	3	.	.	PUNCT
ejpam-3818	409	1	appl	appl	PROPN
ejpam-3818	409	2	.	.	PROPN
ejpam-3818	409	3	math	math	PROPN
ejpam-3818	409	4	.	.	PUNCT
ejpam-3818	409	5	,	,	PUNCT
ejpam-3818	409	6	331:119–132	331:119–132	NUM
ejpam-3818	409	7	,	,	PUNCT
ejpam-3818	409	8	2018	2018	NUM
ejpam-3818	409	9	.	.	PUNCT
ejpam-3818	410	1	[	[	X
ejpam-3818	410	2	10	10	NUM
ejpam-3818	410	3	]	]	X
ejpam-3818	410	4	b.	b.	PROPN
ejpam-3818	410	5	bylina	bylina	PROPN
ejpam-3818	410	6	and	and	CCONJ
ejpam-3818	410	7	j.	j.	PROPN
ejpam-3818	410	8	bylina	bylina	PROPN
ejpam-3818	410	9	.	.	PUNCT
ejpam-3818	411	1	influence	influence	NOUN
ejpam-3818	411	2	of	of	ADP
ejpam-3818	411	3	preconditioning	precondition	VERB
ejpam-3818	411	4	and	and	CCONJ
ejpam-3818	411	5	blocking	block	VERB
ejpam-3818	411	6	on	on	ADP
ejpam-3818	411	7	accuracy	accuracy	NOUN
ejpam-3818	411	8	in	in	ADP
ejpam-3818	411	9	solving	solve	VERB
ejpam-3818	411	10	markovian	markovian	NOUN
ejpam-3818	411	11	models	model	NOUN
ejpam-3818	411	12	.	.	PUNCT
ejpam-3818	412	1	int	int	NOUN
ejpam-3818	412	2	.	.	PUNCT
ejpam-3818	413	1	j.	j.	PROPN
ejpam-3818	413	2	appl	appl	PROPN
ejpam-3818	413	3	.	.	PROPN
ejpam-3818	413	4	math	math	PROPN
ejpam-3818	413	5	.	.	PUNCT
ejpam-3818	414	1	comput	comput	NOUN
ejpam-3818	414	2	.	.	PUNCT
ejpam-3818	415	1	sci	sci	PROPN
ejpam-3818	415	2	.	.	PROPN
ejpam-3818	415	3	,	,	PUNCT
ejpam-3818	415	4	19(2):207–217	19(2):207–217	NUM
ejpam-3818	415	5	,	,	PUNCT
ejpam-3818	415	6	2009	2009	NUM
ejpam-3818	415	7	.	.	PUNCT
ejpam-3818	416	1	[	[	X
ejpam-3818	416	2	11	11	NUM
ejpam-3818	416	3	]	]	PUNCT
ejpam-3818	416	4	b.	b.	PROPN
ejpam-3818	416	5	bylina	bylina	PROPN
ejpam-3818	416	6	and	and	CCONJ
ejpam-3818	416	7	j.	j.	PROPN
ejpam-3818	416	8	bylina	bylina	PROPN
ejpam-3818	416	9	.	.	PUNCT
ejpam-3818	417	1	mixed	mixed	ADJ
ejpam-3818	417	2	precision	precision	NOUN
ejpam-3818	417	3	iterative	iterative	NOUN
ejpam-3818	417	4	refinement	refinement	NOUN
ejpam-3818	417	5	techniques	technique	NOUN
ejpam-3818	417	6	for	for	ADP
ejpam-3818	417	7	the	the	DET
ejpam-3818	417	8	wz	wz	PROPN
ejpam-3818	417	9	factorization	factorization	NOUN
ejpam-3818	417	10	.	.	PUNCT
ejpam-3818	418	1	in	in	ADP
ejpam-3818	418	2	federated	federated	ADJ
ejpam-3818	418	3	conference	conference	NOUN
ejpam-3818	418	4	on	on	ADP
ejpam-3818	418	5	computer	computer	NOUN
ejpam-3818	418	6	science	science	NOUN
ejpam-3818	418	7	and	and	CCONJ
ejpam-3818	418	8	information	information	NOUN
ejpam-3818	418	9	systems	system	NOUN
ejpam-3818	418	10	,	,	PUNCT
ejpam-3818	418	11	pages	page	NOUN
ejpam-3818	418	12	425–431	425–431	NUM
ejpam-3818	418	13	.	.	PUNCT
ejpam-3818	419	1	ieee	ieee	NOUN
ejpam-3818	419	2	,	,	PUNCT
ejpam-3818	419	3	2013	2013	NUM
ejpam-3818	419	4	.	.	PUNCT
ejpam-3818	420	1	[	[	X
ejpam-3818	420	2	12	12	NUM
ejpam-3818	420	3	]	]	PUNCT
ejpam-3818	420	4	b.	b.	PROPN
ejpam-3818	420	5	bylina	bylina	PROPN
ejpam-3818	420	6	and	and	CCONJ
ejpam-3818	420	7	j.	j.	PROPN
ejpam-3818	420	8	bylina	bylina	PROPN
ejpam-3818	420	9	.	.	PUNCT
ejpam-3818	421	1	the	the	DET
ejpam-3818	421	2	wz	wz	PROPN
ejpam-3818	421	3	factorization	factorization	NOUN
ejpam-3818	421	4	in	in	ADP
ejpam-3818	421	5	matlab	matlab	PROPN
ejpam-3818	421	6	.	.	PUNCT
ejpam-3818	421	7	federated	federated	ADJ
ejpam-3818	421	8	conference	conference	NOUN
ejpam-3818	421	9	on	on	ADP
ejpam-3818	421	10	computer	computer	NOUN
ejpam-3818	421	11	science	science	NOUN
ejpam-3818	421	12	and	and	CCONJ
ejpam-3818	421	13	information	information	NOUN
ejpam-3818	421	14	systems	system	NOUN
ejpam-3818	421	15	,	,	PUNCT
ejpam-3818	421	16	pages	page	NOUN
ejpam-3818	421	17	561–568	561–568	NUM
ejpam-3818	421	18	.	.	PUNCT
ejpam-3818	421	19	ieee	ieee	PROPN
ejpam-3818	421	20	,	,	PUNCT
ejpam-3818	421	21	2014	2014	NUM
ejpam-3818	421	22	.	.	PUNCT
ejpam-3818	422	1	references	reference	NOUN
ejpam-3818	422	2	1053	1053	NUM
ejpam-3818	422	3	[	[	X
ejpam-3818	422	4	13	13	NUM
ejpam-3818	422	5	]	]	PUNCT
ejpam-3818	422	6	beata	beata	ADJ
ejpam-3818	422	7	bylina	bylina	NOUN
ejpam-3818	422	8	and	and	CCONJ
ejpam-3818	422	9	jaroslaw	jaroslaw	PROPN
ejpam-3818	422	10	bylina	bylina	PROPN
ejpam-3818	422	11	.	.	PUNCT
ejpam-3818	423	1	gpu	gpu	VERB
ejpam-3818	423	2	-	-	PUNCT
ejpam-3818	423	3	accelerated	accelerate	VERB
ejpam-3818	423	4	wz	wz	ADP
ejpam-3818	423	5	factorization	factorization	NOUN
ejpam-3818	423	6	with	with	ADP
ejpam-3818	423	7	the	the	DET
ejpam-3818	423	8	use	use	NOUN
ejpam-3818	423	9	of	of	ADP
ejpam-3818	423	10	the	the	DET
ejpam-3818	423	11	cublas	cubla	NOUN
ejpam-3818	423	12	library	library	NOUN
ejpam-3818	423	13	.	.	PUNCT
ejpam-3818	424	1	in	in	ADP
ejpam-3818	424	2	federated	federated	ADJ
ejpam-3818	424	3	conference	conference	NOUN
ejpam-3818	424	4	on	on	ADP
ejpam-3818	424	5	computer	computer	NOUN
ejpam-3818	424	6	science	science	NOUN
ejpam-3818	424	7	and	and	CCONJ
ejpam-3818	424	8	information	information	NOUN
ejpam-3818	424	9	system	system	NOUN
ejpam-3818	424	10	,	,	PUNCT
ejpam-3818	424	11	pages	page	NOUN
ejpam-3818	424	12	509–515	509–515	NUM
ejpam-3818	424	13	.	.	PUNCT
ejpam-3818	424	14	ieee	ieee	PROPN
ejpam-3818	424	15	,	,	PUNCT
ejpam-3818	424	16	2012	2012	NUM
ejpam-3818	424	17	.	.	PUNCT
ejpam-3818	425	1	[	[	X
ejpam-3818	425	2	14	14	NUM
ejpam-3818	425	3	]	]	PUNCT
ejpam-3818	425	4	beata	beata	ADJ
ejpam-3818	425	5	bylina	bylina	NOUN
ejpam-3818	425	6	and	and	CCONJ
ejpam-3818	425	7	jaroslaw	jaroslaw	PROPN
ejpam-3818	425	8	bylina	bylina	PROPN
ejpam-3818	425	9	.	.	PUNCT
ejpam-3818	426	1	the	the	DET
ejpam-3818	426	2	parallel	parallel	ADJ
ejpam-3818	426	3	tiled	tile	VERB
ejpam-3818	426	4	wz	wz	ADP
ejpam-3818	426	5	factorization	factorization	NOUN
ejpam-3818	426	6	algorithm	algorithm	NOUN
ejpam-3818	426	7	for	for	ADP
ejpam-3818	426	8	multicore	multicore	ADJ
ejpam-3818	426	9	architectures	architecture	NOUN
ejpam-3818	426	10	.	.	PUNCT
ejpam-3818	427	1	int	int	NOUN
ejpam-3818	427	2	.	.	PUNCT
ejpam-3818	428	1	j.	j.	PROPN
ejpam-3818	428	2	appl	appl	PROPN
ejpam-3818	428	3	.	.	PROPN
ejpam-3818	428	4	math	math	PROPN
ejpam-3818	428	5	.	.	PUNCT
ejpam-3818	429	1	comput	comput	NOUN
ejpam-3818	429	2	.	.	PUNCT
ejpam-3818	430	1	sci	sci	PROPN
ejpam-3818	430	2	,	,	PUNCT
ejpam-3818	430	3	29(2):407–419	29(2):407–419	NUM
ejpam-3818	430	4	,	,	PUNCT
ejpam-3818	430	5	2019	2019	NUM
ejpam-3818	430	6	.	.	PUNCT
ejpam-3818	431	1	[	[	X
ejpam-3818	431	2	15	15	NUM
ejpam-3818	431	3	]	]	X
ejpam-3818	431	4	m.	m.	NOUN
ejpam-3818	431	5	chawla	chawla	PROPN
ejpam-3818	431	6	and	and	CCONJ
ejpam-3818	431	7	r.	r.	PROPN
ejpam-3818	431	8	khazal	khazal	PROPN
ejpam-3818	431	9	.	.	PUNCT
ejpam-3818	432	1	a	a	DET
ejpam-3818	432	2	new	new	ADJ
ejpam-3818	432	3	wz	wz	NOUN
ejpam-3818	432	4	factorization	factorization	NOUN
ejpam-3818	432	5	for	for	ADP
ejpam-3818	432	6	parallel	parallel	ADJ
ejpam-3818	432	7	solution	solution	NOUN
ejpam-3818	432	8	of	of	ADP
ejpam-3818	432	9	tridiagonal	tridiagonal	ADJ
ejpam-3818	432	10	systems	system	NOUN
ejpam-3818	432	11	.	.	PUNCT
ejpam-3818	433	1	int	int	NOUN
ejpam-3818	433	2	.	.	PUNCT
ejpam-3818	434	1	j.	j.	PROPN
ejpam-3818	434	2	comput	comput	PROPN
ejpam-3818	434	3	.	.	PUNCT
ejpam-3818	435	1	math	math	NOUN
ejpam-3818	435	2	.	.	PUNCT
ejpam-3818	435	3	,	,	PUNCT
ejpam-3818	436	1	80(1):123–131	80(1):123–131	NUM
ejpam-3818	436	2	,	,	PUNCT
ejpam-3818	436	3	2003	2003	NUM
ejpam-3818	436	4	.	.	PUNCT
ejpam-3818	437	1	[	[	X
ejpam-3818	437	2	16	16	NUM
ejpam-3818	437	3	]	]	X
ejpam-3818	437	4	l.	l.	PROPN
ejpam-3818	437	5	debnath	debnath	PROPN
ejpam-3818	437	6	.	.	PUNCT
ejpam-3818	438	1	a	a	DET
ejpam-3818	438	2	brief	brief	ADJ
ejpam-3818	438	3	historical	historical	ADJ
ejpam-3818	438	4	introduction	introduction	NOUN
ejpam-3818	438	5	to	to	ADP
ejpam-3818	438	6	matrices	matrix	NOUN
ejpam-3818	438	7	and	and	CCONJ
ejpam-3818	438	8	their	their	PRON
ejpam-3818	438	9	applications	application	NOUN
ejpam-3818	438	10	.	.	PUNCT
ejpam-3818	439	1	internat	internat	PROPN
ejpam-3818	439	2	.	.	PUNCT
ejpam-3818	440	1	j.	j.	PROPN
ejpam-3818	440	2	math	math	PROPN
ejpam-3818	440	3	.	.	PUNCT
ejpam-3818	441	1	ed	ed	NOUN
ejpam-3818	441	2	.	.	PUNCT
ejpam-3818	442	1	sci	sci	PROPN
ejpam-3818	442	2	.	.	PUNCT
ejpam-3818	442	3	tech	tech	PROPN
ejpam-3818	442	4	.	.	PUNCT
ejpam-3818	442	5	,	,	PUNCT
ejpam-3818	442	6	45(3):360–377	45(3):360–377	NOUN
ejpam-3818	442	7	,	,	PUNCT
ejpam-3818	442	8	2013	2013	NUM
ejpam-3818	442	9	.	.	PUNCT
ejpam-3818	443	1	[	[	X
ejpam-3818	443	2	17	17	NUM
ejpam-3818	443	3	]	]	X
ejpam-3818	443	4	j.	j.	PROPN
ejpam-3818	443	5	dongarra	dongarra	PROPN
ejpam-3818	443	6	,	,	PUNCT
ejpam-3818	443	7	m.	m.	NOUN
ejpam-3818	443	8	faverge	faverge	NOUN
ejpam-3818	443	9	,	,	PUNCT
ejpam-3818	443	10	h.	h.	PROPN
ejpam-3818	443	11	ltaief	ltaief	PROPN
ejpam-3818	443	12	,	,	PUNCT
ejpam-3818	443	13	and	and	CCONJ
ejpam-3818	443	14	p.	p.	PROPN
ejpam-3818	443	15	luszczek	luszczek	NOUN
ejpam-3818	443	16	.	.	PUNCT
ejpam-3818	444	1	achieving	achieve	VERB
ejpam-3818	444	2	numerical	numerical	ADJ
ejpam-3818	444	3	accuracy	accuracy	NOUN
ejpam-3818	444	4	and	and	CCONJ
ejpam-3818	444	5	high	high	ADJ
ejpam-3818	444	6	performance	performance	NOUN
ejpam-3818	444	7	using	use	VERB
ejpam-3818	444	8	recursive	recursive	ADJ
ejpam-3818	444	9	tile	tile	NOUN
ejpam-3818	444	10	lu	lu	NOUN
ejpam-3818	444	11	factorization	factorization	NOUN
ejpam-3818	444	12	with	with	ADP
ejpam-3818	444	13	partial	partial	ADJ
ejpam-3818	444	14	pivoting	pivoting	NOUN
ejpam-3818	444	15	.	.	PUNCT
ejpam-3818	445	1	concurr	concurr	NOUN
ejpam-3818	445	2	.	.	PUNCT
ejpam-3818	446	1	comp	comp	NOUN
ejpam-3818	446	2	-	-	PUNCT
ejpam-3818	446	3	pract	pract	NOUN
ejpam-3818	446	4	.	.	PUNCT
ejpam-3818	447	1	e.	e.	PROPN
ejpam-3818	447	2	,	,	PUNCT
ejpam-3818	447	3	26(7):1408–1431	26(7):1408–1431	NUM
ejpam-3818	447	4	,	,	PUNCT
ejpam-3818	447	5	2014	2014	NUM
ejpam-3818	447	6	.	.	PUNCT
ejpam-3818	448	1	[	[	X
ejpam-3818	448	2	18	18	NUM
ejpam-3818	448	3	]	]	X
ejpam-3818	448	4	c.	c.	PROPN
ejpam-3818	448	5	dunham	dunham	PROPN
ejpam-3818	448	6	.	.	PUNCT
ejpam-3818	449	1	cramer	cramer	PROPN
ejpam-3818	449	2	’s	’s	PART
ejpam-3818	449	3	rule	rule	NOUN
ejpam-3818	449	4	reconsidered	reconsider	VERB
ejpam-3818	449	5	or	or	CCONJ
ejpam-3818	449	6	equilibration	equilibration	NOUN
ejpam-3818	449	7	desirable	desirable	ADJ
ejpam-3818	449	8	.	.	PUNCT
ejpam-3818	450	1	acm	acm	PROPN
ejpam-3818	450	2	signum	signum	PROPN
ejpam-3818	450	3	newsletter	newsletter	NOUN
ejpam-3818	450	4	,	,	PUNCT
ejpam-3818	450	5	15(4):9–9	15(4):9–9	NUM
ejpam-3818	450	6	,	,	PUNCT
ejpam-3818	450	7	1980	1980	NUM
ejpam-3818	450	8	.	.	PUNCT
ejpam-3818	451	1	[	[	X
ejpam-3818	451	2	19	19	NUM
ejpam-3818	451	3	]	]	X
ejpam-3818	451	4	o.	o.	PROPN
ejpam-3818	451	5	efremides	efremide	NOUN
ejpam-3818	451	6	,	,	PUNCT
ejpam-3818	451	7	m.	m.	NOUN
ejpam-3818	451	8	bekakos	bekakos	NOUN
ejpam-3818	451	9	,	,	PUNCT
ejpam-3818	451	10	and	and	CCONJ
ejpam-3818	451	11	d.	d.	PROPN
ejpam-3818	451	12	evans	evans	PROPN
ejpam-3818	451	13	.	.	PUNCT
ejpam-3818	452	1	implementation	implementation	NOUN
ejpam-3818	452	2	of	of	ADP
ejpam-3818	452	3	the	the	DET
ejpam-3818	452	4	generalized	generalize	VERB
ejpam-3818	452	5	wz	wz	ADP
ejpam-3818	452	6	factorization	factorization	NOUN
ejpam-3818	452	7	on	on	ADP
ejpam-3818	452	8	a	a	DET
ejpam-3818	452	9	wavefront	wavefront	ADJ
ejpam-3818	452	10	array	array	NOUN
ejpam-3818	452	11	processor	processor	NOUN
ejpam-3818	452	12	.	.	PUNCT
ejpam-3818	453	1	int	int	NOUN
ejpam-3818	453	2	.	.	PUNCT
ejpam-3818	454	1	j.	j.	PROPN
ejpam-3818	454	2	comput	comput	PROPN
ejpam-3818	454	3	.	.	PUNCT
ejpam-3818	455	1	math	math	NOUN
ejpam-3818	455	2	.	.	PUNCT
ejpam-3818	455	3	,	,	PUNCT
ejpam-3818	456	1	79(7):807–815	79(7):807–815	PROPN
ejpam-3818	456	2	,	,	PUNCT
ejpam-3818	456	3	2002	2002	NUM
ejpam-3818	456	4	.	.	PUNCT
ejpam-3818	457	1	[	[	X
ejpam-3818	457	2	20	20	NUM
ejpam-3818	457	3	]	]	X
ejpam-3818	457	4	d.	d.	PROPN
ejpam-3818	457	5	evans	evans	PROPN
ejpam-3818	457	6	.	.	PUNCT
ejpam-3818	458	1	the	the	DET
ejpam-3818	458	2	choleski	choleski	PROPN
ejpam-3818	458	3	qif	qif	PROPN
ejpam-3818	458	4	algorithm	algorithm	PROPN
ejpam-3818	458	5	for	for	ADP
ejpam-3818	458	6	solving	solve	VERB
ejpam-3818	458	7	symmetric	symmetric	ADJ
ejpam-3818	458	8	linear	linear	NOUN
ejpam-3818	458	9	systems	system	NOUN
ejpam-3818	458	10	.	.	PUNCT
ejpam-3818	459	1	int	int	NOUN
ejpam-3818	459	2	.	.	PUNCT
ejpam-3818	460	1	j.	j.	PROPN
ejpam-3818	460	2	comput	comput	PROPN
ejpam-3818	460	3	.	.	PUNCT
ejpam-3818	461	1	math	math	NOUN
ejpam-3818	461	2	.	.	PUNCT
ejpam-3818	461	3	,	,	PUNCT
ejpam-3818	462	1	72(3):283–288	72(3):283–288	NUM
ejpam-3818	462	2	,	,	PUNCT
ejpam-3818	462	3	1999	1999	NUM
ejpam-3818	462	4	.	.	PUNCT
ejpam-3818	463	1	[	[	X
ejpam-3818	463	2	21	21	NUM
ejpam-3818	463	3	]	]	X
ejpam-3818	463	4	d.	d.	PROPN
ejpam-3818	463	5	evans	evans	PROPN
ejpam-3818	463	6	.	.	PUNCT
ejpam-3818	464	1	the	the	DET
ejpam-3818	464	2	qif	qif	PROPN
ejpam-3818	464	3	singular	singular	PROPN
ejpam-3818	464	4	value	value	NOUN
ejpam-3818	464	5	decomposition	decomposition	NOUN
ejpam-3818	464	6	method	method	NOUN
ejpam-3818	464	7	.	.	PUNCT
ejpam-3818	465	1	int	int	NOUN
ejpam-3818	465	2	.	.	PUNCT
ejpam-3818	466	1	j.	j.	PROPN
ejpam-3818	466	2	comput	comput	PROPN
ejpam-3818	466	3	.	.	PUNCT
ejpam-3818	467	1	math	math	NOUN
ejpam-3818	467	2	.	.	PUNCT
ejpam-3818	468	1	,	,	PUNCT
ejpam-3818	468	2	79(5):637	79(5):637	NUM
ejpam-3818	468	3	–	–	PUNCT
ejpam-3818	468	4	645	645	NUM
ejpam-3818	468	5	,	,	PUNCT
ejpam-3818	468	6	2002	2002	NUM
ejpam-3818	468	7	.	.	PUNCT
ejpam-3818	469	1	[	[	X
ejpam-3818	469	2	22	22	NUM
ejpam-3818	469	3	]	]	X
ejpam-3818	469	4	d.	d.	PROPN
ejpam-3818	469	5	evans	evans	PROPN
ejpam-3818	469	6	and	and	CCONJ
ejpam-3818	469	7	r.	r.	PROPN
ejpam-3818	469	8	abdullah	abdullah	PROPN
ejpam-3818	469	9	.	.	PUNCT
ejpam-3818	470	1	the	the	DET
ejpam-3818	470	2	parallel	parallel	ADJ
ejpam-3818	470	3	implicit	implicit	ADJ
ejpam-3818	470	4	elimination	elimination	NOUN
ejpam-3818	470	5	(	(	PUNCT
ejpam-3818	470	6	pie	pie	NOUN
ejpam-3818	470	7	)	)	PUNCT
ejpam-3818	470	8	method	method	NOUN
ejpam-3818	470	9	for	for	ADP
ejpam-3818	470	10	the	the	DET
ejpam-3818	470	11	solution	solution	NOUN
ejpam-3818	470	12	of	of	ADP
ejpam-3818	470	13	linear	linear	PROPN
ejpam-3818	470	14	systems	system	NOUN
ejpam-3818	470	15	.	.	PUNCT
ejpam-3818	471	1	parallel	parallel	ADJ
ejpam-3818	471	2	algorithms	algorithms	NOUN
ejpam-3818	471	3	appl	appl	NOUN
ejpam-3818	471	4	.	.	PUNCT
ejpam-3818	471	5	,	,	PUNCT
ejpam-3818	471	6	4(1):153–162	4(1):153–162	NOUN
ejpam-3818	471	7	,	,	PUNCT
ejpam-3818	471	8	1994	1994	NUM
ejpam-3818	471	9	.	.	PUNCT
ejpam-3818	472	1	[	[	X
ejpam-3818	472	2	23	23	NUM
ejpam-3818	472	3	]	]	X
ejpam-3818	472	4	d.	d.	PROPN
ejpam-3818	472	5	evans	evans	PROPN
ejpam-3818	472	6	and	and	CCONJ
ejpam-3818	472	7	a.	a.	PROPN
ejpam-3818	472	8	hadjidimos	hadjidimos	PROPN
ejpam-3818	472	9	.	.	PUNCT
ejpam-3818	473	1	a	a	DET
ejpam-3818	473	2	modification	modification	NOUN
ejpam-3818	473	3	of	of	ADP
ejpam-3818	473	4	the	the	DET
ejpam-3818	473	5	quadrant	quadrant	NOUN
ejpam-3818	473	6	interlocking	interlock	VERB
ejpam-3818	473	7	factorisation	factorisation	NOUN
ejpam-3818	473	8	parallel	parallel	ADJ
ejpam-3818	473	9	method	method	NOUN
ejpam-3818	473	10	.	.	PUNCT
ejpam-3818	474	1	int	int	NOUN
ejpam-3818	474	2	.	.	PUNCT
ejpam-3818	475	1	j.	j.	PROPN
ejpam-3818	475	2	comput	comput	PROPN
ejpam-3818	475	3	.	.	PUNCT
ejpam-3818	476	1	math	math	NOUN
ejpam-3818	476	2	.	.	PUNCT
ejpam-3818	476	3	,	,	PUNCT
ejpam-3818	476	4	8(2):149–166	8(2):149–166	NUM
ejpam-3818	476	5	,	,	PUNCT
ejpam-3818	476	6	1980	1980	NUM
ejpam-3818	476	7	.	.	PUNCT
ejpam-3818	477	1	[	[	X
ejpam-3818	477	2	24	24	NUM
ejpam-3818	477	3	]	]	X
ejpam-3818	477	4	d.	d.	PROPN
ejpam-3818	477	5	evans	evans	PROPN
ejpam-3818	477	6	and	and	CCONJ
ejpam-3818	477	7	m.	m.	NOUN
ejpam-3818	477	8	hatzopoulos	hatzopoulos	PROPN
ejpam-3818	477	9	.	.	PUNCT
ejpam-3818	478	1	a	a	DET
ejpam-3818	478	2	parallel	parallel	ADJ
ejpam-3818	478	3	linear	linear	NOUN
ejpam-3818	478	4	system	system	NOUN
ejpam-3818	478	5	solver	solver	X
ejpam-3818	478	6	.	.	PUNCT
ejpam-3818	479	1	int	int	NOUN
ejpam-3818	479	2	.	.	PUNCT
ejpam-3818	480	1	j.	j.	PROPN
ejpam-3818	480	2	comput	comput	PROPN
ejpam-3818	480	3	.	.	PUNCT
ejpam-3818	481	1	math	math	NOUN
ejpam-3818	481	2	.	.	PUNCT
ejpam-3818	481	3	,	,	PUNCT
ejpam-3818	482	1	7(3):227–238	7(3):227–238	NOUN
ejpam-3818	482	2	,	,	PUNCT
ejpam-3818	482	3	1979	1979	NUM
ejpam-3818	482	4	.	.	PUNCT
ejpam-3818	483	1	[	[	X
ejpam-3818	483	2	25	25	NUM
ejpam-3818	483	3	]	]	X
ejpam-3818	483	4	d.	d.	PROPN
ejpam-3818	483	5	evans	evans	PROPN
ejpam-3818	483	6	and	and	CCONJ
ejpam-3818	483	7	g.	g.	PROPN
ejpam-3818	483	8	oksa	oksa	PROPN
ejpam-3818	483	9	.	.	PUNCT
ejpam-3818	484	1	parallel	parallel	ADJ
ejpam-3818	484	2	solution	solution	NOUN
ejpam-3818	484	3	of	of	ADP
ejpam-3818	484	4	symmetric	symmetric	ADJ
ejpam-3818	484	5	positive	positive	ADJ
ejpam-3818	484	6	definite	definite	ADJ
ejpam-3818	484	7	toeplitz	toeplitz	NOUN
ejpam-3818	484	8	systems	system	NOUN
ejpam-3818	484	9	.	.	PUNCT
ejpam-3818	485	1	parallel	parallel	ADJ
ejpam-3818	485	2	algorithms	algorithms	NOUN
ejpam-3818	485	3	appl	appl	NOUN
ejpam-3818	485	4	.	.	PUNCT
ejpam-3818	485	5	,	,	PUNCT
ejpam-3818	485	6	12(4):297–303	12(4):297–303	NUM
ejpam-3818	485	7	,	,	PUNCT
ejpam-3818	485	8	1997	1997	NUM
ejpam-3818	485	9	.	.	PUNCT
ejpam-3818	486	1	[	[	X
ejpam-3818	486	2	26	26	NUM
ejpam-3818	486	3	]	]	X
ejpam-3818	486	4	e.	e.	PROPN
ejpam-3818	486	5	golpar	golpar	PROPN
ejpam-3818	486	6	-	-	PUNCT
ejpam-3818	486	7	raboky	raboky	NOUN
ejpam-3818	486	8	.	.	PUNCT
ejpam-3818	487	1	a	a	DET
ejpam-3818	487	2	new	new	ADJ
ejpam-3818	487	3	approach	approach	NOUN
ejpam-3818	487	4	for	for	ADP
ejpam-3818	487	5	computing	compute	VERB
ejpam-3818	487	6	wz	wz	ADP
ejpam-3818	487	7	factorization	factorization	NOUN
ejpam-3818	487	8	.	.	PUNCT
ejpam-3818	488	1	appl	appl	PROPN
ejpam-3818	488	2	.	.	PUNCT
ejpam-3818	489	1	appl	appl	PROPN
ejpam-3818	489	2	.	.	PROPN
ejpam-3818	489	3	math	math	PROPN
ejpam-3818	489	4	.	.	PUNCT
ejpam-3818	490	1	,	,	PUNCT
ejpam-3818	490	2	7(2):571–584	7(2):571–584	NOUN
ejpam-3818	490	3	,	,	PUNCT
ejpam-3818	490	4	2012	2012	NUM
ejpam-3818	490	5	.	.	PUNCT
ejpam-3818	491	1	[	[	X
ejpam-3818	491	2	27	27	NUM
ejpam-3818	491	3	]	]	X
ejpam-3818	491	4	e.	e.	PROPN
ejpam-3818	491	5	golpar	golpar	PROPN
ejpam-3818	491	6	-	-	PUNCT
ejpam-3818	491	7	raboky	raboky	NOUN
ejpam-3818	491	8	.	.	PUNCT
ejpam-3818	492	1	abs	ab	NOUN
ejpam-3818	492	2	algorithms	algorithm	NOUN
ejpam-3818	492	3	for	for	ADP
ejpam-3818	492	4	integer	integer	NOUN
ejpam-3818	492	5	wz	wz	ADP
ejpam-3818	492	6	factorization	factorization	NOUN
ejpam-3818	492	7	.	.	PUNCT
ejpam-3818	493	1	malaysian	malaysian	ADJ
ejpam-3818	493	2	j.	j.	PROPN
ejpam-3818	493	3	math	math	PROPN
ejpam-3818	493	4	.	.	PUNCT
ejpam-3818	494	1	sci	sci	PROPN
ejpam-3818	494	2	.	.	PROPN
ejpam-3818	494	3	,	,	PUNCT
ejpam-3818	494	4	8(1):69–85	8(1):69–85	NUM
ejpam-3818	494	5	,	,	PUNCT
ejpam-3818	494	6	2014	2014	NUM
ejpam-3818	494	7	.	.	PUNCT
ejpam-3818	495	1	[	[	X
ejpam-3818	495	2	28	28	NUM
ejpam-3818	495	3	]	]	X
ejpam-3818	495	4	golub	golub	PROPN
ejpam-3818	495	5	gene	gene	PROPN
ejpam-3818	495	6	h	h	PROPN
ejpam-3818	495	7	and	and	CCONJ
ejpam-3818	495	8	van	van	PROPN
ejpam-3818	495	9	loan	loan	PROPN
ejpam-3818	495	10	charles	charles	PROPN
ejpam-3818	495	11	f.	f.	PROPN
ejpam-3818	495	12	matrix	matrix	PROPN
ejpam-3818	495	13	computations	computations	PROPN
ejpam-3818	495	14	.	.	PUNCT
ejpam-3818	496	1	johns	johns	PROPN
ejpam-3818	496	2	hopkins	hopkins	PROPN
ejpam-3818	496	3	university	university	PROPN
ejpam-3818	496	4	press	press	NOUN
ejpam-3818	496	5	,	,	PUNCT
ejpam-3818	496	6	baltimore	baltimore	PROPN
ejpam-3818	496	7	md	md	PROPN
ejpam-3818	496	8	.	.	PROPN
ejpam-3818	496	9	,	,	PUNCT
ejpam-3818	496	10	1996	1996	NUM
ejpam-3818	496	11	.	.	PUNCT
ejpam-3818	497	1	references	reference	NOUN
ejpam-3818	497	2	1054	1054	NUM
ejpam-3818	498	1	[	[	X
ejpam-3818	498	2	29	29	NUM
ejpam-3818	498	3	]	]	PUNCT
ejpam-3818	498	4	k.	k.	PROPN
ejpam-3818	498	5	habgood	habgood	PROPN
ejpam-3818	498	6	and	and	CCONJ
ejpam-3818	498	7	i.	i.	PROPN
ejpam-3818	498	8	arel	arel	PROPN
ejpam-3818	498	9	.	.	PUNCT
ejpam-3818	499	1	a	a	DET
ejpam-3818	499	2	condensation	condensation	NOUN
ejpam-3818	499	3	-	-	PUNCT
ejpam-3818	499	4	based	base	VERB
ejpam-3818	499	5	application	application	NOUN
ejpam-3818	499	6	of	of	ADP
ejpam-3818	499	7	cramer	cramer	PROPN
ejpam-3818	499	8	’s	’s	PART
ejpam-3818	499	9	rule	rule	NOUN
ejpam-3818	499	10	for	for	ADP
ejpam-3818	499	11	solving	solve	VERB
ejpam-3818	499	12	large	large	ADJ
ejpam-3818	499	13	-	-	PUNCT
ejpam-3818	499	14	scale	scale	NOUN
ejpam-3818	499	15	linear	linear	NOUN
ejpam-3818	499	16	systems	system	NOUN
ejpam-3818	499	17	.	.	PUNCT
ejpam-3818	500	1	j.	j.	PROPN
ejpam-3818	500	2	discrete	discrete	ADJ
ejpam-3818	500	3	algorithms	algorithm	NOUN
ejpam-3818	500	4	,	,	PUNCT
ejpam-3818	500	5	10:98–109	10:98–109	NUM
ejpam-3818	500	6	,	,	PUNCT
ejpam-3818	500	7	2012	2012	NUM
ejpam-3818	500	8	.	.	PUNCT
ejpam-3818	501	1	[	[	X
ejpam-3818	501	2	30	30	NUM
ejpam-3818	501	3	]	]	X
ejpam-3818	501	4	m.	m.	NOUN
ejpam-3818	501	5	hatzopoulos	hatzopoulo	NOUN
ejpam-3818	501	6	and	and	CCONJ
ejpam-3818	501	7	n.	n.	PROPN
ejpam-3818	501	8	missirlis	missirlis	PROPN
ejpam-3818	501	9	.	.	PUNCT
ejpam-3818	502	1	advantages	advantage	NOUN
ejpam-3818	502	2	for	for	ADP
ejpam-3818	502	3	solving	solve	VERB
ejpam-3818	502	4	linear	linear	NOUN
ejpam-3818	502	5	systems	system	NOUN
ejpam-3818	502	6	in	in	ADP
ejpam-3818	502	7	an	an	DET
ejpam-3818	502	8	asynchronous	asynchronous	ADJ
ejpam-3818	502	9	environment	environment	NOUN
ejpam-3818	502	10	.	.	PUNCT
ejpam-3818	503	1	j.	j.	PROPN
ejpam-3818	503	2	comput	comput	PROPN
ejpam-3818	503	3	.	.	PUNCT
ejpam-3818	504	1	appl	appl	PROPN
ejpam-3818	504	2	.	.	PROPN
ejpam-3818	504	3	math	math	PROPN
ejpam-3818	504	4	.	.	PUNCT
ejpam-3818	504	5	,	,	PUNCT
ejpam-3818	505	1	12:331–340	12:331–340	NUM
ejpam-3818	505	2	,	,	PUNCT
ejpam-3818	505	3	1985	1985	NUM
ejpam-3818	505	4	.	.	PUNCT
ejpam-3818	506	1	[	[	X
ejpam-3818	506	2	31	31	NUM
ejpam-3818	506	3	]	]	X
ejpam-3818	506	4	n.	n.	PROPN
ejpam-3818	506	5	higham	higham	PROPN
ejpam-3818	506	6	.	.	PUNCT
ejpam-3818	507	1	accuracy	accuracy	NOUN
ejpam-3818	507	2	and	and	CCONJ
ejpam-3818	507	3	stability	stability	NOUN
ejpam-3818	507	4	of	of	ADP
ejpam-3818	507	5	numerical	numerical	ADJ
ejpam-3818	507	6	algorithms	algorithm	NOUN
ejpam-3818	507	7	.	.	PUNCT
ejpam-3818	508	1	siam	siam	PROPN
ejpam-3818	508	2	,	,	PUNCT
ejpam-3818	508	3	new	new	PROPN
ejpam-3818	508	4	york	york	PROPN
ejpam-3818	508	5	,	,	PUNCT
ejpam-3818	508	6	2002	2002	NUM
ejpam-3818	508	7	.	.	PUNCT
ejpam-3818	509	1	[	[	X
ejpam-3818	509	2	32	32	NUM
ejpam-3818	509	3	]	]	PUNCT
ejpam-3818	509	4	p.	p.	PROPN
ejpam-3818	509	5	huang	huang	PROPN
ejpam-3818	509	6	,	,	PUNCT
ejpam-3818	509	7	a.	a.	PROPN
ejpam-3818	509	8	mackay	mackay	PROPN
ejpam-3818	509	9	,	,	PUNCT
ejpam-3818	509	10	and	and	CCONJ
ejpam-3818	509	11	d.	d.	PROPN
ejpam-3818	509	12	teng	teng	PROPN
ejpam-3818	509	13	.	.	PUNCT
ejpam-3818	510	1	a	a	DET
ejpam-3818	510	2	hardwaresoftware	hardwaresoftware	NOUN
ejpam-3818	510	3	codesign	codesign	NOUN
ejpam-3818	510	4	of	of	ADP
ejpam-3818	510	5	wz	wz	PROPN
ejpam-3818	510	6	factorization	factorization	NOUN
ejpam-3818	510	7	to	to	PART
ejpam-3818	510	8	improve	improve	VERB
ejpam-3818	510	9	time	time	NOUN
ejpam-3818	510	10	to	to	PART
ejpam-3818	510	11	solve	solve	VERB
ejpam-3818	510	12	matrices	matrix	NOUN
ejpam-3818	510	13	.	.	PUNCT
ejpam-3818	511	1	in	in	ADP
ejpam-3818	511	2	canadian	canadian	ADJ
ejpam-3818	511	3	conference	conference	NOUN
ejpam-3818	511	4	on	on	ADP
ejpam-3818	511	5	electrical	electrical	ADJ
ejpam-3818	511	6	and	and	CCONJ
ejpam-3818	511	7	computer	computer	NOUN
ejpam-3818	511	8	engineering	engineering	NOUN
ejpam-3818	511	9	,	,	PUNCT
ejpam-3818	511	10	pages	page	NOUN
ejpam-3818	511	11	1–5	1–5	PROPN
ejpam-3818	511	12	.	.	PUNCT
ejpam-3818	511	13	ieee	ieee	PROPN
ejpam-3818	511	14	,	,	PUNCT
ejpam-3818	511	15	2010	2010	NUM
ejpam-3818	511	16	.	.	PUNCT
ejpam-3818	512	1	[	[	X
ejpam-3818	512	2	33	33	NUM
ejpam-3818	512	3	]	]	PUNCT
ejpam-3818	512	4	m.	m.	NOUN
ejpam-3818	512	5	kaps	kap	NOUN
ejpam-3818	512	6	and	and	CCONJ
ejpam-3818	512	7	m.	m.	NOUN
ejpam-3818	512	8	schlegl	schlegl	PROPN
ejpam-3818	512	9	.	.	PUNCT
ejpam-3818	513	1	a	a	DET
ejpam-3818	513	2	short	short	ADJ
ejpam-3818	513	3	proof	proof	NOUN
ejpam-3818	513	4	for	for	ADP
ejpam-3818	513	5	the	the	DET
ejpam-3818	513	6	existence	existence	NOUN
ejpam-3818	513	7	of	of	ADP
ejpam-3818	513	8	the	the	DET
ejpam-3818	513	9	wz	wz	NOUN
ejpam-3818	513	10	-	-	PUNCT
ejpam-3818	513	11	factorisation	factorisation	NOUN
ejpam-3818	513	12	.	.	PUNCT
ejpam-3818	514	1	parallel	parallel	ADJ
ejpam-3818	514	2	comput	comput	NOUN
ejpam-3818	514	3	.	.	PUNCT
ejpam-3818	514	4	,	,	PUNCT
ejpam-3818	514	5	4(2):229–232	4(2):229–232	PROPN
ejpam-3818	514	6	,	,	PUNCT
ejpam-3818	514	7	1987	1987	NUM
ejpam-3818	514	8	.	.	PUNCT
ejpam-3818	515	1	[	[	X
ejpam-3818	515	2	34	34	NUM
ejpam-3818	515	3	]	]	X
ejpam-3818	515	4	r.	r.	PROPN
ejpam-3818	515	5	khazal	khazal	PROPN
ejpam-3818	515	6	.	.	PUNCT
ejpam-3818	516	1	existence	existence	NOUN
ejpam-3818	516	2	and	and	CCONJ
ejpam-3818	516	3	stability	stability	NOUN
ejpam-3818	516	4	of	of	ADP
ejpam-3818	516	5	choleski	choleski	PROPN
ejpam-3818	516	6	qif	qif	PROPN
ejpam-3818	516	7	for	for	ADP
ejpam-3818	516	8	symmetric	symmetric	ADJ
ejpam-3818	516	9	linear	linear	PROPN
ejpam-3818	516	10	systems	system	NOUN
ejpam-3818	516	11	.	.	PUNCT
ejpam-3818	517	1	int	int	NOUN
ejpam-3818	517	2	.	.	PUNCT
ejpam-3818	518	1	j.	j.	PROPN
ejpam-3818	518	2	comput	comput	PROPN
ejpam-3818	518	3	.	.	PUNCT
ejpam-3818	519	1	math	math	NOUN
ejpam-3818	519	2	.	.	PUNCT
ejpam-3818	519	3	,	,	PUNCT
ejpam-3818	520	1	79(9):1013–1025	79(9):1013–1025	PROPN
ejpam-3818	520	2	,	,	PUNCT
ejpam-3818	520	3	2002	2002	NUM
ejpam-3818	520	4	.	.	PUNCT
ejpam-3818	521	1	[	[	X
ejpam-3818	521	2	35	35	NUM
ejpam-3818	521	3	]	]	PUNCT
ejpam-3818	521	4	c.	c.	PROPN
ejpam-3818	521	5	moler	moler	PROPN
ejpam-3818	521	6	.	.	PUNCT
ejpam-3818	522	1	cramer	cramer	PROPN
ejpam-3818	522	2	’s	’s	PART
ejpam-3818	522	3	rule	rule	NOUN
ejpam-3818	522	4	on	on	ADP
ejpam-3818	522	5	2	2	NUM
ejpam-3818	522	6	-	-	PUNCT
ejpam-3818	522	7	by-2	by-2	NOUN
ejpam-3818	522	8	systems	system	NOUN
ejpam-3818	522	9	.	.	PUNCT
ejpam-3818	523	1	acm	acm	PROPN
ejpam-3818	523	2	signum	signum	PROPN
ejpam-3818	523	3	newsletter	newsletter	PROPN
ejpam-3818	523	4	,	,	PUNCT
ejpam-3818	523	5	9(4):13–14	9(4):13–14	NUM
ejpam-3818	523	6	,	,	PUNCT
ejpam-3818	523	7	1974	1974	NUM
ejpam-3818	523	8	.	.	PUNCT
ejpam-3818	524	1	[	[	X
ejpam-3818	524	2	36	36	NUM
ejpam-3818	524	3	]	]	X
ejpam-3818	524	4	s.	s.	PROPN
ejpam-3818	524	5	rao	rao	PROPN
ejpam-3818	524	6	.	.	PUNCT
ejpam-3818	525	1	parallel	parallel	ADJ
ejpam-3818	525	2	solution	solution	NOUN
ejpam-3818	525	3	of	of	ADP
ejpam-3818	525	4	the	the	DET
ejpam-3818	525	5	linear	linear	PROPN
ejpam-3818	525	6	systems	system	NOUN
ejpam-3818	525	7	by	by	ADP
ejpam-3818	525	8	an	an	DET
ejpam-3818	525	9	alternate	alternate	ADJ
ejpam-3818	525	10	quadrant	quadrant	NOUN
ejpam-3818	525	11	interlocking	interlock	VERB
ejpam-3818	525	12	factorization	factorization	NOUN
ejpam-3818	525	13	method	method	NOUN
ejpam-3818	525	14	.	.	PUNCT
ejpam-3818	526	1	parallel	parallel	ADJ
ejpam-3818	526	2	algorithms	algorithms	NOUN
ejpam-3818	526	3	appl	appl	NOUN
ejpam-3818	526	4	.	.	PROPN
ejpam-3818	526	5	,	,	PUNCT
ejpam-3818	526	6	4(2):1–20	4(2):1–20	NUM
ejpam-3818	526	7	,	,	PUNCT
ejpam-3818	526	8	1994	1994	NUM
ejpam-3818	526	9	.	.	PUNCT
ejpam-3818	527	1	[	[	X
ejpam-3818	527	2	37	37	NUM
ejpam-3818	527	3	]	]	PUNCT
ejpam-3818	527	4	s.	s.	PROPN
ejpam-3818	527	5	rao	rao	PROPN
ejpam-3818	527	6	.	.	PUNCT
ejpam-3818	528	1	existence	existence	NOUN
ejpam-3818	528	2	and	and	CCONJ
ejpam-3818	528	3	uniqueness	uniqueness	NOUN
ejpam-3818	528	4	of	of	ADP
ejpam-3818	528	5	wz	wz	ADP
ejpam-3818	528	6	factorization	factorization	NOUN
ejpam-3818	528	7	.	.	PUNCT
ejpam-3818	529	1	parallel	parallel	ADJ
ejpam-3818	529	2	comput	comput	NOUN
ejpam-3818	529	3	.	.	PUNCT
ejpam-3818	529	4	,	,	PUNCT
ejpam-3818	529	5	23(8):1129–1139	23(8):1129–1139	NUM
ejpam-3818	529	6	,	,	PUNCT
ejpam-3818	529	7	1997	1997	NUM
ejpam-3818	529	8	.	.	PUNCT
ejpam-3818	530	1	[	[	X
ejpam-3818	530	2	38	38	NUM
ejpam-3818	530	3	]	]	PUNCT
ejpam-3818	530	4	s.	s.	PROPN
ejpam-3818	530	5	rao	rao	PROPN
ejpam-3818	530	6	and	and	CCONJ
ejpam-3818	530	7	r.	r.	PROPN
ejpam-3818	530	8	kamra	kamra	PROPN
ejpam-3818	530	9	.	.	PUNCT
ejpam-3818	531	1	a	a	DET
ejpam-3818	531	2	hybrid	hybrid	ADJ
ejpam-3818	531	3	parallel	parallel	ADJ
ejpam-3818	531	4	algorithm	algorithm	NOUN
ejpam-3818	531	5	for	for	ADP
ejpam-3818	531	6	large	large	ADJ
ejpam-3818	531	7	sparse	sparse	ADJ
ejpam-3818	531	8	linear	linear	NOUN
ejpam-3818	531	9	systems	system	NOUN
ejpam-3818	531	10	.	.	PUNCT
ejpam-3818	532	1	numer	numer	PROPN
ejpam-3818	532	2	.	.	PUNCT
ejpam-3818	533	1	linear	linear	PROPN
ejpam-3818	533	2	algebra	algebra	PROPN
ejpam-3818	533	3	appl	appl	NOUN
ejpam-3818	533	4	.	.	PROPN
ejpam-3818	533	5	,	,	PUNCT
ejpam-3818	533	6	25(6):e2210	25(6):e2210	NOUN
ejpam-3818	533	7	,	,	PUNCT
ejpam-3818	533	8	2018	2018	NUM
ejpam-3818	533	9	.	.	PUNCT
ejpam-3818	534	1	[	[	X
ejpam-3818	534	2	39	39	NUM
ejpam-3818	534	3	]	]	PUNCT
ejpam-3818	534	4	k.	k.	NOUN
ejpam-3818	534	5	rhofi	rhofi	PROPN
ejpam-3818	534	6	,	,	PUNCT
ejpam-3818	534	7	m.	m.	NOUN
ejpam-3818	534	8	ameur	ameur	PROPN
ejpam-3818	534	9	,	,	PUNCT
ejpam-3818	534	10	and	and	CCONJ
ejpam-3818	534	11	a.	a.	NOUN
ejpam-3818	534	12	radid	radid	VERB
ejpam-3818	534	13	.	.	PUNCT
ejpam-3818	535	1	double	double	ADJ
ejpam-3818	535	2	power	power	NOUN
ejpam-3818	535	3	method	method	NOUN
ejpam-3818	535	4	iteration	iteration	NOUN
ejpam-3818	535	5	for	for	ADP
ejpam-3818	535	6	parallel	parallel	ADJ
ejpam-3818	535	7	eigenvalue	eigenvalue	NOUN
ejpam-3818	535	8	problem	problem	NOUN
ejpam-3818	535	9	.	.	PUNCT
ejpam-3818	536	1	int	int	NOUN
ejpam-3818	536	2	.	.	PUNCT
ejpam-3818	537	1	j.	j.	PROPN
ejpam-3818	537	2	pure	pure	PROPN
ejpam-3818	537	3	appl	appl	PROPN
ejpam-3818	537	4	.	.	PUNCT
ejpam-3818	537	5	math	math	PROPN
ejpam-3818	537	6	.	.	PUNCT
ejpam-3818	537	7	,	,	PUNCT
ejpam-3818	537	8	108(4):945–955	108(4):945–955	NUM
ejpam-3818	537	9	,	,	PUNCT
ejpam-3818	537	10	2016	2016	NUM
ejpam-3818	537	11	.	.	PUNCT
ejpam-3818	538	1	[	[	X
ejpam-3818	538	2	40	40	NUM
ejpam-3818	538	3	]	]	PUNCT
ejpam-3818	538	4	f	f	PROPN
ejpam-3818	538	5	stummel	stummel	PROPN
ejpam-3818	538	6	.	.	PUNCT
ejpam-3818	539	1	perturbation	perturbation	NOUN
ejpam-3818	539	2	theory	theory	NOUN
ejpam-3818	539	3	for	for	ADP
ejpam-3818	539	4	evaluation	evaluation	NOUN
ejpam-3818	539	5	algorithms	algorithm	NOUN
ejpam-3818	539	6	of	of	ADP
ejpam-3818	539	7	arithmetic	arithmetic	ADJ
ejpam-3818	539	8	expressions	expression	NOUN
ejpam-3818	539	9	.	.	PUNCT
ejpam-3818	540	1	math	math	NOUN
ejpam-3818	540	2	.	.	PUNCT
ejpam-3818	541	1	comput	comput	NOUN
ejpam-3818	541	2	.	.	PUNCT
ejpam-3818	541	3	,	,	PUNCT
ejpam-3818	541	4	37(156):435–473	37(156):435–473	PROPN
ejpam-3818	541	5	,	,	PUNCT
ejpam-3818	541	6	1981	1981	NUM
ejpam-3818	541	7	.	.	PUNCT
ejpam-3818	542	1	[	[	X
ejpam-3818	542	2	41	41	NUM
ejpam-3818	542	3	]	]	X
ejpam-3818	542	4	o.	o.	NOUN
ejpam-3818	542	5	ufuoma	ufuoma	PROPN
ejpam-3818	542	6	.	.	PUNCT
ejpam-3818	543	1	a	a	DET
ejpam-3818	543	2	new	new	ADJ
ejpam-3818	543	3	and	and	CCONJ
ejpam-3818	543	4	simple	simple	ADJ
ejpam-3818	543	5	method	method	NOUN
ejpam-3818	543	6	of	of	ADP
ejpam-3818	543	7	solving	solve	VERB
ejpam-3818	543	8	large	large	ADJ
ejpam-3818	543	9	linear	linear	NOUN
ejpam-3818	543	10	systems	system	NOUN
ejpam-3818	543	11	based	base	VERB
ejpam-3818	543	12	on	on	ADP
ejpam-3818	543	13	cramer	cramer	PROPN
ejpam-3818	543	14	’s	’s	PART
ejpam-3818	543	15	rule	rule	NOUN
ejpam-3818	543	16	but	but	CCONJ
ejpam-3818	543	17	employing	employ	VERB
ejpam-3818	543	18	dodgson	dodgson	NOUN
ejpam-3818	543	19	’s	’s	PART
ejpam-3818	543	20	condensation	condensation	NOUN
ejpam-3818	543	21	.	.	PUNCT
ejpam-3818	544	1	in	in	ADP
ejpam-3818	544	2	proceedings	proceeding	NOUN
ejpam-3818	544	3	of	of	ADP
ejpam-3818	544	4	the	the	DET
ejpam-3818	544	5	world	world	NOUN
ejpam-3818	544	6	congress	congress	PROPN
ejpam-3818	544	7	on	on	ADP
ejpam-3818	544	8	engineering	engineering	NOUN
ejpam-3818	544	9	and	and	CCONJ
ejpam-3818	544	10	computer	computer	NOUN
ejpam-3818	544	11	science	science	NOUN
ejpam-3818	544	12	,	,	PUNCT
ejpam-3818	544	13	volume	volume	NOUN
ejpam-3818	544	14	i	i	PRON
ejpam-3818	544	15	,	,	PUNCT
ejpam-3818	544	16	pages	page	NOUN
ejpam-3818	544	17	23–25	23–25	NUM
ejpam-3818	544	18	,	,	PUNCT
ejpam-3818	544	19	2013	2013	NUM
ejpam-3818	544	20	.	.	PUNCT
ejpam-3818	545	1	[	[	X
ejpam-3818	545	2	42	42	NUM
ejpam-3818	545	3	]	]	PUNCT
ejpam-3818	545	4	p.	p.	NOUN
ejpam-3818	545	5	yalamov	yalamov	PROPN
ejpam-3818	545	6	and	and	CCONJ
ejpam-3818	545	7	d.	d.	PROPN
ejpam-3818	545	8	evans	evans	PROPN
ejpam-3818	545	9	.	.	PUNCT
ejpam-3818	546	1	the	the	DET
ejpam-3818	546	2	wz	wz	PROPN
ejpam-3818	546	3	matrix	matrix	NOUN
ejpam-3818	546	4	factorisation	factorisation	NOUN
ejpam-3818	546	5	method	method	NOUN
ejpam-3818	546	6	.	.	PUNCT
ejpam-3818	547	1	parallel	parallel	ADJ
ejpam-3818	547	2	comput	comput	NOUN
ejpam-3818	547	3	.	.	PUNCT
ejpam-3818	547	4	,	,	PUNCT
ejpam-3818	547	5	21(7):1111–1120	21(7):1111–1120	NUM
ejpam-3818	547	6	,	,	PUNCT
ejpam-3818	547	7	1995	1995	NUM
ejpam-3818	547	8	.	.	PUNCT
ejpam-3818	548	1	[	[	X
ejpam-3818	548	2	43	43	NUM
ejpam-3818	548	3	]	]	X
ejpam-3818	548	4	y.	y.	PROPN
ejpam-3818	548	5	zhong	zhong	PROPN
ejpam-3818	548	6	,	,	PUNCT
ejpam-3818	548	7	f.	f.	PROPN
ejpam-3818	548	8	wu	wu	PROPN
ejpam-3818	548	9	,	,	PUNCT
ejpam-3818	548	10	and	and	CCONJ
ejpam-3818	548	11	z.	z.	PROPN
ejpam-3818	548	12	luo	luo	PROPN
ejpam-3818	548	13	.	.	PUNCT
ejpam-3818	549	1	wz	wz	AUX
ejpam-3818	549	2	factorization	factorization	NOUN
ejpam-3818	549	3	for	for	ADP
ejpam-3818	549	4	a	a	DET
ejpam-3818	549	5	kind	kind	NOUN
ejpam-3818	549	6	of	of	ADP
ejpam-3818	549	7	special	special	ADJ
ejpam-3818	549	8	structured	structure	VERB
ejpam-3818	549	9	matrix	matrix	NOUN
ejpam-3818	549	10	.	.	PUNCT
ejpam-3818	550	1	journal	journal	PROPN
ejpam-3818	550	2	of	of	ADP
ejpam-3818	550	3	national	national	PROPN
ejpam-3818	550	4	university	university	PROPN
ejpam-3818	550	5	of	of	ADP
ejpam-3818	550	6	defense	defense	PROPN
ejpam-3818	550	7	technology	technology	NOUN
ejpam-3818	550	8	,	,	PUNCT
ejpam-3818	550	9	32(4):157–164	32(4):157–164	PROPN
ejpam-3818	550	10	,	,	PUNCT
ejpam-3818	550	11	2010	2010	NUM
ejpam-3818	550	12	.	.	PUNCT