id	sid	tid	token	lemma	pos
ejpam-3301	1	1	european	european	PROPN
ejpam-3301	1	2	journal	journal	PROPN
ejpam-3301	1	3	of	of	ADP
ejpam-3301	1	4	pure	pure	ADJ
ejpam-3301	1	5	and	and	CCONJ
ejpam-3301	1	6	applied	apply	VERB
ejpam-3301	1	7	mathematics	mathematic	NOUN
ejpam-3301	1	8	vol	vol	NOUN
ejpam-3301	1	9	.	.	PUNCT
ejpam-3301	2	1	11	11	NUM
ejpam-3301	2	2	,	,	PUNCT
ejpam-3301	2	3	no	no	INTJ
ejpam-3301	2	4	.	.	NOUN
ejpam-3301	2	5	3	3	NUM
ejpam-3301	2	6	,	,	PUNCT
ejpam-3301	2	7	2018	2018	NUM
ejpam-3301	2	8	,	,	PUNCT
ejpam-3301	2	9	844	844	NUM
ejpam-3301	2	10	-	-	SYM
ejpam-3301	2	11	868	868	NUM
ejpam-3301	2	12	issn	issn	PROPN
ejpam-3301	2	13	1307	1307	NUM
ejpam-3301	2	14	-	-	SYM
ejpam-3301	2	15	5543	5543	NUM
ejpam-3301	2	16	–	–	PUNCT
ejpam-3301	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3301	2	18	published	publish	VERB
ejpam-3301	2	19	by	by	ADP
ejpam-3301	2	20	new	new	PROPN
ejpam-3301	2	21	york	york	PROPN
ejpam-3301	2	22	business	business	PROPN
ejpam-3301	2	23	global	global	PROPN
ejpam-3301	2	24	numerical	numerical	PROPN
ejpam-3301	2	25	computation	computation	NOUN
ejpam-3301	2	26	of	of	ADP
ejpam-3301	2	27	lower	low	ADJ
ejpam-3301	2	28	bounds	bound	NOUN
ejpam-3301	2	29	of	of	ADP
ejpam-3301	2	30	structured	structured	ADJ
ejpam-3301	2	31	singular	singular	ADJ
ejpam-3301	2	32	values	value	NOUN
ejpam-3301	2	33	m.	m.	PROPN
ejpam-3301	2	34	fazeel	fazeel	PROPN
ejpam-3301	2	35	anwar1	anwar1	PROPN
ejpam-3301	2	36	,	,	PUNCT
ejpam-3301	2	37	mutti	mutti	PROPN
ejpam-3301	2	38	-	-	PUNCT
ejpam-3301	2	39	ur	ur	PROPN
ejpam-3301	2	40	rehman1,∗	rehman1,∗	NOUN
ejpam-3301	2	41	1	1	NUM
ejpam-3301	2	42	department	department	NOUN
ejpam-3301	2	43	of	of	ADP
ejpam-3301	2	44	mathematics	mathematic	NOUN
ejpam-3301	2	45	,	,	PUNCT
ejpam-3301	2	46	sukkur	sukkur	PROPN
ejpam-3301	2	47	iba	iba	PROPN
ejpam-3301	2	48	university	university	PROPN
ejpam-3301	2	49	,	,	PUNCT
ejpam-3301	2	50	65200	65200	NUM
ejpam-3301	2	51	sukkur	sukkur	PROPN
ejpam-3301	2	52	,	,	PUNCT
ejpam-3301	2	53	pakistan	pakistan	PROPN
ejpam-3301	2	54	abstract	abstract	NOUN
ejpam-3301	2	55	.	.	PUNCT
ejpam-3301	3	1	in	in	ADP
ejpam-3301	3	2	this	this	DET
ejpam-3301	3	3	article	article	NOUN
ejpam-3301	3	4	we	we	PRON
ejpam-3301	3	5	have	have	AUX
ejpam-3301	3	6	considered	consider	VERB
ejpam-3301	3	7	numerical	numerical	ADJ
ejpam-3301	3	8	approximation	approximation	NOUN
ejpam-3301	3	9	of	of	ADP
ejpam-3301	3	10	lower	low	ADJ
ejpam-3301	3	11	bounds	bound	NOUN
ejpam-3301	3	12	of	of	ADP
ejpam-3301	3	13	structured	structured	ADJ
ejpam-3301	3	14	singular	singular	ADJ
ejpam-3301	3	15	values	value	NOUN
ejpam-3301	3	16	,	,	PUNCT
ejpam-3301	3	17	ssv	ssv	NOUN
ejpam-3301	3	18	.	.	PUNCT
ejpam-3301	4	1	the	the	DET
ejpam-3301	4	2	ssv	ssv	NOUN
ejpam-3301	4	3	is	be	AUX
ejpam-3301	4	4	a	a	DET
ejpam-3301	4	5	well	well	ADV
ejpam-3301	4	6	-	-	PUNCT
ejpam-3301	4	7	known	know	VERB
ejpam-3301	4	8	mathematical	mathematical	ADJ
ejpam-3301	4	9	quantity	quantity	NOUN
ejpam-3301	4	10	which	which	PRON
ejpam-3301	4	11	is	be	AUX
ejpam-3301	4	12	widely	widely	ADV
ejpam-3301	4	13	used	use	VERB
ejpam-3301	4	14	to	to	PART
ejpam-3301	4	15	analyse	analyse	VERB
ejpam-3301	4	16	and	and	CCONJ
ejpam-3301	4	17	syntesize	syntesize	VERB
ejpam-3301	4	18	the	the	DET
ejpam-3301	4	19	robust	robust	ADJ
ejpam-3301	4	20	stability	stability	NOUN
ejpam-3301	4	21	and	and	CCONJ
ejpam-3301	4	22	instability	instability	NOUN
ejpam-3301	4	23	analysis	analysis	NOUN
ejpam-3301	4	24	of	of	ADP
ejpam-3301	4	25	linear	linear	ADJ
ejpam-3301	4	26	feedback	feedback	NOUN
ejpam-3301	4	27	systems	system	NOUN
ejpam-3301	4	28	in	in	ADP
ejpam-3301	4	29	control	control	NOUN
ejpam-3301	4	30	theory	theory	NOUN
ejpam-3301	4	31	.	.	PUNCT
ejpam-3301	5	1	the	the	DET
ejpam-3301	5	2	ssv	ssv	NOUN
ejpam-3301	5	3	establishes	establish	VERB
ejpam-3301	5	4	a	a	DET
ejpam-3301	5	5	link	link	NOUN
ejpam-3301	5	6	between	between	ADP
ejpam-3301	5	7	numerical	numerical	PROPN
ejpam-3301	5	8	linear	linear	PROPN
ejpam-3301	5	9	algebra	algebra	PROPN
ejpam-3301	5	10	and	and	CCONJ
ejpam-3301	5	11	system	system	NOUN
ejpam-3301	5	12	theory	theory	NOUN
ejpam-3301	5	13	.	.	PUNCT
ejpam-3301	6	1	the	the	DET
ejpam-3301	6	2	computation	computation	NOUN
ejpam-3301	6	3	of	of	ADP
ejpam-3301	6	4	lower	low	ADJ
ejpam-3301	6	5	bounds	bound	NOUN
ejpam-3301	6	6	of	of	ADP
ejpam-3301	6	7	ssv	ssv	NOUN
ejpam-3301	6	8	by	by	ADP
ejpam-3301	6	9	means	mean	NOUN
ejpam-3301	6	10	of	of	ADP
ejpam-3301	6	11	ordinary	ordinary	ADJ
ejpam-3301	6	12	differential	differential	ADJ
ejpam-3301	6	13	equations	equation	NOUN
ejpam-3301	6	14	based	base	VERB
ejpam-3301	6	15	technique	technique	NOUN
ejpam-3301	6	16	is	be	AUX
ejpam-3301	6	17	presented	present	VERB
ejpam-3301	6	18	.	.	PUNCT
ejpam-3301	7	1	the	the	DET
ejpam-3301	7	2	obtained	obtain	VERB
ejpam-3301	7	3	numerical	numerical	ADJ
ejpam-3301	7	4	results	result	NOUN
ejpam-3301	7	5	for	for	ADP
ejpam-3301	7	6	the	the	DET
ejpam-3301	7	7	lower	low	ADJ
ejpam-3301	7	8	bounds	bound	NOUN
ejpam-3301	7	9	of	of	ADP
ejpam-3301	7	10	ssv	ssv	NOUN
ejpam-3301	7	11	are	be	AUX
ejpam-3301	7	12	compared	compare	VERB
ejpam-3301	7	13	with	with	ADP
ejpam-3301	7	14	the	the	DET
ejpam-3301	7	15	well	well	ADV
ejpam-3301	7	16	-	-	PUNCT
ejpam-3301	7	17	known	know	VERB
ejpam-3301	7	18	matlab	matlab	PROPN
ejpam-3301	7	19	function	function	PROPN
ejpam-3301	7	20	mussv	mussv	PROPN
ejpam-3301	7	21	available	available	ADJ
ejpam-3301	7	22	in	in	ADP
ejpam-3301	7	23	matlab	matlab	PROPN
ejpam-3301	7	24	control	control	NOUN
ejpam-3301	7	25	toolbox	toolbox	NOUN
ejpam-3301	7	26	.	.	PUNCT
ejpam-3301	8	1	1	1	X
ejpam-3301	8	2	.	.	X
ejpam-3301	8	3	introduction	introduction	NOUN
ejpam-3301	8	4	the	the	DET
ejpam-3301	8	5	structured	structured	ADJ
ejpam-3301	8	6	singular	singular	ADJ
ejpam-3301	8	7	values	value	NOUN
ejpam-3301	8	8	known	know	VERB
ejpam-3301	8	9	as	as	ADP
ejpam-3301	8	10	µ-value	µ-value	NOUN
ejpam-3301	8	11	is	be	AUX
ejpam-3301	8	12	a	a	DET
ejpam-3301	8	13	well	well	ADV
ejpam-3301	8	14	-	-	PUNCT
ejpam-3301	8	15	known	know	VERB
ejpam-3301	8	16	mathematical	mathematical	ADJ
ejpam-3301	8	17	tool	tool	NOUN
ejpam-3301	8	18	in	in	ADP
ejpam-3301	8	19	control	control	NOUN
ejpam-3301	8	20	,	,	PUNCT
ejpam-3301	8	21	introduced	introduce	VERB
ejpam-3301	8	22	by	by	ADP
ejpam-3301	8	23	j.	j.	PROPN
ejpam-3301	8	24	c.	c.	PROPN
ejpam-3301	8	25	doyle	doyle	PROPN
ejpam-3301	8	26	around	around	ADP
ejpam-3301	8	27	1980	1980	NUM
ejpam-3301	8	28	’s	’s	PART
ejpam-3301	8	29	[	[	X
ejpam-3301	8	30	12	12	NUM
ejpam-3301	8	31	]	]	PUNCT
ejpam-3301	8	32	.	.	PUNCT
ejpam-3301	9	1	this	this	DET
ejpam-3301	9	2	tool	tool	NOUN
ejpam-3301	9	3	can	can	AUX
ejpam-3301	9	4	be	be	AUX
ejpam-3301	9	5	used	use	VERB
ejpam-3301	9	6	to	to	PART
ejpam-3301	9	7	discuss	discuss	VERB
ejpam-3301	9	8	both	both	DET
ejpam-3301	9	9	stability	stability	NOUN
ejpam-3301	9	10	and	and	CCONJ
ejpam-3301	9	11	instability	instability	NOUN
ejpam-3301	9	12	analysis	analysis	NOUN
ejpam-3301	9	13	of	of	ADP
ejpam-3301	9	14	linear	linear	PROPN
ejpam-3301	9	15	systems	system	NOUN
ejpam-3301	9	16	when	when	SCONJ
ejpam-3301	9	17	subject	subject	ADJ
ejpam-3301	9	18	to	to	ADP
ejpam-3301	9	19	a	a	DET
ejpam-3301	9	20	certain	certain	ADJ
ejpam-3301	9	21	perturbations	perturbation	NOUN
ejpam-3301	9	22	.	.	PUNCT
ejpam-3301	10	1	for	for	ADP
ejpam-3301	10	2	more	more	ADJ
ejpam-3301	10	3	applications	application	NOUN
ejpam-3301	10	4	on	on	ADP
ejpam-3301	10	5	ssv	ssv	NOUN
ejpam-3301	10	6	,	,	PUNCT
ejpam-3301	10	7	the	the	DET
ejpam-3301	10	8	interested	interested	ADJ
ejpam-3301	10	9	reader	reader	NOUN
ejpam-3301	10	10	can	can	AUX
ejpam-3301	10	11	consult	consult	VERB
ejpam-3301	10	12	[	[	X
ejpam-3301	10	13	13	13	NUM
ejpam-3301	10	14	]	]	PUNCT
ejpam-3301	10	15	which	which	PRON
ejpam-3301	10	16	describe	describe	VERB
ejpam-3301	10	17	the	the	DET
ejpam-3301	10	18	engineering	engineering	NOUN
ejpam-3301	10	19	motivation	motivation	NOUN
ejpam-3301	10	20	for	for	ADP
ejpam-3301	10	21	µ-values	µ-value	NOUN
ejpam-3301	10	22	.	.	PUNCT
ejpam-3301	11	1	due	due	ADP
ejpam-3301	11	2	it	it	PRON
ejpam-3301	11	3	’s	’	VERB
ejpam-3301	11	4	computational	computational	ADJ
ejpam-3301	11	5	complexity	complexity	NOUN
ejpam-3301	11	6	,	,	PUNCT
ejpam-3301	11	7	the	the	DET
ejpam-3301	11	8	approximation	approximation	NOUN
ejpam-3301	11	9	of	of	ADP
ejpam-3301	11	10	an	an	DET
ejpam-3301	11	11	exact	exact	ADJ
ejpam-3301	11	12	value	value	NOUN
ejpam-3301	11	13	of	of	ADP
ejpam-3301	11	14	ssv	ssv	NOUN
ejpam-3301	11	15	appears	appear	VERB
ejpam-3301	11	16	to	to	PART
ejpam-3301	11	17	be	be	AUX
ejpam-3301	11	18	np	np	ADV
ejpam-3301	11	19	-	-	PUNCT
ejpam-3301	11	20	hard	hard	ADJ
ejpam-3301	11	21	see	see	NOUN
ejpam-3301	11	22	[	[	X
ejpam-3301	11	23	2	2	NUM
ejpam-3301	11	24	]	]	PUNCT
ejpam-3301	11	25	.	.	PUNCT
ejpam-3301	12	1	in	in	ADP
ejpam-3301	12	2	fact	fact	NOUN
ejpam-3301	12	3	,	,	PUNCT
ejpam-3301	12	4	the	the	DET
ejpam-3301	12	5	computation	computation	NOUN
ejpam-3301	12	6	of	of	ADP
ejpam-3301	12	7	bounds	bound	NOUN
ejpam-3301	12	8	of	of	ADP
ejpam-3301	12	9	ssv	ssv	NOUN
ejpam-3301	12	10	,	,	PUNCT
ejpam-3301	12	11	especially	especially	ADV
ejpam-3301	12	12	the	the	DET
ejpam-3301	12	13	computation	computation	NOUN
ejpam-3301	12	14	of	of	ADP
ejpam-3301	12	15	upper	upper	ADJ
ejpam-3301	12	16	bounds	bound	NOUN
ejpam-3301	12	17	when	when	SCONJ
ejpam-3301	12	18	certain	certain	ADJ
ejpam-3301	12	19	properties	property	NOUN
ejpam-3301	12	20	are	be	AUX
ejpam-3301	12	21	under	under	ADP
ejpam-3301	12	22	consideration	consideration	NOUN
ejpam-3301	12	23	appers	apper	NOUN
ejpam-3301	12	24	to	to	PART
ejpam-3301	12	25	be	be	AUX
ejpam-3301	12	26	a	a	DET
ejpam-3301	12	27	np	np	ADJ
ejpam-3301	12	28	-	-	PUNCT
ejpam-3301	12	29	hard	hard	ADJ
ejpam-3301	12	30	problem	problem	NOUN
ejpam-3301	12	31	[	[	X
ejpam-3301	12	32	14	14	NUM
ejpam-3301	12	33	]	]	PUNCT
ejpam-3301	12	34	.	.	PUNCT
ejpam-3301	13	1	there	there	PRON
ejpam-3301	13	2	has	have	AUX
ejpam-3301	13	3	been	be	AUX
ejpam-3301	13	4	done	do	VERB
ejpam-3301	13	5	an	an	DET
ejpam-3301	13	6	extensive	extensive	ADJ
ejpam-3301	13	7	amount	amount	NOUN
ejpam-3301	13	8	of	of	ADP
ejpam-3301	13	9	research	research	NOUN
ejpam-3301	13	10	in	in	ADP
ejpam-3301	13	11	order	order	NOUN
ejpam-3301	13	12	to	to	PART
ejpam-3301	13	13	develop	develop	VERB
ejpam-3301	13	14	new	new	ADJ
ejpam-3301	13	15	numerical	numerical	ADJ
ejpam-3301	13	16	algorithms	algorithm	NOUN
ejpam-3301	13	17	which	which	PRON
ejpam-3301	13	18	are	be	AUX
ejpam-3301	13	19	very	very	ADV
ejpam-3301	13	20	efficient	efficient	ADJ
ejpam-3301	13	21	and	and	CCONJ
ejpam-3301	13	22	provides	provide	VERB
ejpam-3301	13	23	tighter	tight	ADJ
ejpam-3301	13	24	bounds	bound	NOUN
ejpam-3301	13	25	for	for	ADP
ejpam-3301	13	26	µ-value	µ-value	NOUN
ejpam-3301	13	27	.	.	PUNCT
ejpam-3301	14	1	the	the	DET
ejpam-3301	14	2	power	power	NOUN
ejpam-3301	14	3	method	method	NOUN
ejpam-3301	14	4	[	[	X
ejpam-3301	14	5	9	9	NUM
ejpam-3301	14	6	]	]	PUNCT
ejpam-3301	14	7	approximate	approximate	NOUN
ejpam-3301	14	8	the	the	DET
ejpam-3301	14	9	lower	lower	ADV
ejpam-3301	14	10	bound	bind	VERB
ejpam-3301	14	11	ssv	ssv	NOUN
ejpam-3301	14	12	while	while	SCONJ
ejpam-3301	14	13	taking	take	VERB
ejpam-3301	14	14	pure	pure	ADJ
ejpam-3301	14	15	complex	complex	ADJ
ejpam-3301	14	16	perturbations	perturbation	NOUN
ejpam-3301	14	17	into	into	ADP
ejpam-3301	14	18	an	an	DET
ejpam-3301	14	19	account	account	NOUN
ejpam-3301	14	20	.	.	PUNCT
ejpam-3301	15	1	but	but	CCONJ
ejpam-3301	15	2	unfortunately	unfortunately	ADV
ejpam-3301	15	3	power	power	NOUN
ejpam-3301	15	4	method	method	NOUN
ejpam-3301	15	5	fail	fail	VERB
ejpam-3301	15	6	to	to	PART
ejpam-3301	15	7	converge	converge	VERB
ejpam-3301	15	8	;	;	PUNCT
ejpam-3301	15	9	this	this	PRON
ejpam-3301	15	10	happens	happen	VERB
ejpam-3301	15	11	when	when	SCONJ
ejpam-3301	15	12	pure	pure	ADJ
ejpam-3301	15	13	real	real	ADJ
ejpam-3301	15	14	uncertainties	uncertainty	NOUN
ejpam-3301	15	15	are	be	AUX
ejpam-3301	15	16	under	under	ADP
ejpam-3301	15	17	consideration	consideration	NOUN
ejpam-3301	15	18	,	,	PUNCT
ejpam-3301	15	19	for	for	SCONJ
ejpam-3301	15	20	more	more	ADJ
ejpam-3301	15	21	detail	detail	NOUN
ejpam-3301	15	22	see	see	VERB
ejpam-3301	15	23	[	[	X
ejpam-3301	15	24	15	15	NUM
ejpam-3301	15	25	]	]	PUNCT
ejpam-3301	15	26	.	.	PUNCT
ejpam-3301	16	1	the	the	DET
ejpam-3301	16	2	structured	structured	ADJ
ejpam-3301	16	3	perturbations	perturbation	NOUN
ejpam-3301	16	4	addressed	address	VERB
ejpam-3301	16	5	by	by	ADP
ejpam-3301	16	6	µ-tool	µ-tool	NOUN
ejpam-3301	16	7	is	be	AUX
ejpam-3301	16	8	very	very	ADV
ejpam-3301	16	9	generic	generic	ADJ
ejpam-3301	16	10	and	and	CCONJ
ejpam-3301	16	11	it	it	PRON
ejpam-3301	16	12	allows	allow	VERB
ejpam-3301	16	13	to	to	PART
ejpam-3301	16	14	cover	cover	VERB
ejpam-3301	16	15	all	all	DET
ejpam-3301	16	16	types	type	NOUN
ejpam-3301	16	17	of	of	ADP
ejpam-3301	16	18	parametric	parametric	ADJ
ejpam-3301	16	19	perturbations	perturbation	NOUN
ejpam-3301	16	20	that	that	PRON
ejpam-3301	16	21	can	can	AUX
ejpam-3301	16	22	be	be	AUX
ejpam-3301	16	23	incorporated	incorporate	VERB
ejpam-3301	16	24	into	into	ADP
ejpam-3301	16	25	the	the	DET
ejpam-3301	16	26	linear	linear	PROPN
ejpam-3301	16	27	control	control	NOUN
ejpam-3301	16	28	system	system	NOUN
ejpam-3301	16	29	theory	theory	NOUN
ejpam-3301	16	30	by	by	ADP
ejpam-3301	16	31	help	help	NOUN
ejpam-3301	16	32	of	of	ADP
ejpam-3301	16	33	both	both	CCONJ
ejpam-3301	16	34	real	real	ADJ
ejpam-3301	16	35	and	and	CCONJ
ejpam-3301	16	36	complex	complex	ADJ
ejpam-3301	16	37	linear	linear	ADJ
ejpam-3301	16	38	fractional	fractional	ADJ
ejpam-3301	16	39	transformations	transformation	NOUN
ejpam-3301	16	40	(	(	PUNCT
ejpam-3301	16	41	lft	lft	X
ejpam-3301	16	42	’s	’s	PART
ejpam-3301	16	43	)	)	PUNCT
ejpam-3301	16	44	.	.	PUNCT
ejpam-3301	17	1	for	for	ADP
ejpam-3301	17	2	more	more	ADJ
ejpam-3301	17	3	detail	detail	NOUN
ejpam-3301	17	4	please	please	INTJ
ejpam-3301	17	5	see	see	VERB
ejpam-3301	17	6	[	[	X
ejpam-3301	17	7	1	1	NUM
ejpam-3301	17	8	,	,	PUNCT
ejpam-3301	17	9	3	3	NUM
ejpam-3301	17	10	,	,	PUNCT
ejpam-3301	17	11	5–8	5–8	NUM
ejpam-3301	17	12	,	,	PUNCT
ejpam-3301	17	13	10	10	NUM
ejpam-3301	17	14	]	]	PUNCT
ejpam-3301	17	15	and	and	CCONJ
ejpam-3301	17	16	the	the	DET
ejpam-3301	17	17	references	reference	NOUN
ejpam-3301	17	18	therein	therein	ADV
ejpam-3301	17	19	for	for	ADP
ejpam-3301	17	20	the	the	DET
ejpam-3301	17	21	applications	application	NOUN
ejpam-3301	17	22	of	of	ADP
ejpam-3301	17	23	ssv	ssv	NOUN
ejpam-3301	17	24	.	.	PUNCT
ejpam-3301	18	1	the	the	DET
ejpam-3301	18	2	∗corresponding	∗corresponde	VERB
ejpam-3301	18	3	author	author	NOUN
ejpam-3301	18	4	.	.	PUNCT
ejpam-3301	19	1	doi	doi	NOUN
ejpam-3301	19	2	:	:	PUNCT
ejpam-3301	19	3	https://doi.org/10.29020/nybg.ejpam.v11i3.3301	https://doi.org/10.29020/nybg.ejpam.v11i3.3301	PROPN
ejpam-3301	19	4	email	email	NOUN
ejpam-3301	19	5	addresses	address	VERB
ejpam-3301	19	6	:	:	PUNCT
ejpam-3301	19	7	mutti.rehman@iba-suk.edu.pk	mutti.rehman@iba-suk.edu.pk	PROPN
ejpam-3301	19	8	(	(	PUNCT
ejpam-3301	19	9	m.	m.	PROPN
ejpam-3301	19	10	rehman	rehman	PROPN
ejpam-3301	19	11	)	)	PUNCT
ejpam-3301	19	12	,	,	PUNCT
ejpam-3301	19	13	fazeel.anwar@iba-suk.edu.pk	fazeel.anwar@iba-suk.edu.pk	NOUN
ejpam-3301	19	14	(	(	PUNCT
ejpam-3301	19	15	m.	m.	PROPN
ejpam-3301	19	16	f.	f.	PROPN
ejpam-3301	19	17	anwar	anwar	PROPN
ejpam-3301	19	18	)	)	PUNCT
ejpam-3301	19	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3301	19	20	844	844	NUM
ejpam-3301	20	1	c	c	NOUN
ejpam-3301	20	2	©	©	PROPN
ejpam-3301	20	3	2018	2018	NUM
ejpam-3301	20	4	ejpam	ejpam	VERB
ejpam-3301	20	5	all	all	DET
ejpam-3301	20	6	rights	right	NOUN
ejpam-3301	20	7	reserved	reserve	VERB
ejpam-3301	20	8	.	.	PUNCT
ejpam-3301	21	1	m.	m.	PROPN
ejpam-3301	21	2	f.	f.	PROPN
ejpam-3301	21	3	anwar	anwar	PROPN
ejpam-3301	21	4	,	,	PUNCT
ejpam-3301	21	5	m.	m.	NOUN
ejpam-3301	21	6	rehman	rehman	PROPN
ejpam-3301	21	7	/	/	SYM
ejpam-3301	21	8	eur	eur	PROPN
ejpam-3301	21	9	.	.	PUNCT
ejpam-3301	22	1	j.	j.	PROPN
ejpam-3301	22	2	pure	pure	PROPN
ejpam-3301	22	3	appl	appl	PROPN
ejpam-3301	22	4	.	.	PROPN
ejpam-3301	22	5	math	math	PROPN
ejpam-3301	22	6	,	,	PUNCT
ejpam-3301	22	7	11	11	NUM
ejpam-3301	22	8	(	(	PUNCT
ejpam-3301	22	9	3	3	NUM
ejpam-3301	22	10	)	)	PUNCT
ejpam-3301	22	11	(	(	PUNCT
ejpam-3301	22	12	2018	2018	NUM
ejpam-3301	22	13	)	)	PUNCT
ejpam-3301	22	14	,	,	PUNCT
ejpam-3301	22	15	844	844	NUM
ejpam-3301	22	16	-	-	SYM
ejpam-3301	22	17	868	868	NUM
ejpam-3301	22	18	845	845	NUM
ejpam-3301	22	19	message	message	NOUN
ejpam-3301	22	20	from	from	ADP
ejpam-3301	22	21	the	the	DET
ejpam-3301	22	22	approximation	approximation	NOUN
ejpam-3301	22	23	of	of	ADP
ejpam-3301	22	24	an	an	DET
ejpam-3301	22	25	upper	upper	ADJ
ejpam-3301	22	26	bound	bind	VERB
ejpam-3301	22	27	of	of	ADP
ejpam-3301	22	28	µ-tool	µ-tool	NOUN
ejpam-3301	22	29	provides	provide	VERB
ejpam-3301	22	30	conditions	condition	NOUN
ejpam-3301	22	31	which	which	PRON
ejpam-3301	22	32	guarantee	guarantee	VERB
ejpam-3301	22	33	the	the	DET
ejpam-3301	22	34	stability	stability	NOUN
ejpam-3301	22	35	of	of	ADP
ejpam-3301	22	36	feedback	feedback	NOUN
ejpam-3301	22	37	linear	linear	NOUN
ejpam-3301	22	38	systems	system	NOUN
ejpam-3301	22	39	.	.	PUNCT
ejpam-3301	23	1	the	the	DET
ejpam-3301	23	2	well	well	ADV
ejpam-3301	23	3	-	-	PUNCT
ejpam-3301	23	4	known	know	VERB
ejpam-3301	23	5	matlab	matlab	PROPN
ejpam-3301	23	6	function	function	PROPN
ejpam-3301	23	7	mussv	mussv	PROPN
ejpam-3301	23	8	available	available	ADJ
ejpam-3301	23	9	in	in	ADP
ejpam-3301	23	10	matlab	matlab	PROPN
ejpam-3301	23	11	controlboox	controlboox	PROPN
ejpam-3301	23	12	approximates	approximate	VERB
ejpam-3301	23	13	an	an	DET
ejpam-3301	23	14	upper	upper	ADJ
ejpam-3301	23	15	bounds	bound	NOUN
ejpam-3301	23	16	for	for	ADP
ejpam-3301	23	17	ssv	ssv	NOUN
ejpam-3301	23	18	by	by	ADP
ejpam-3301	23	19	means	mean	NOUN
ejpam-3301	23	20	of	of	ADP
ejpam-3301	23	21	diagonal	diagonal	ADJ
ejpam-3301	23	22	balancing	balancing	NOUN
ejpam-3301	23	23	technique	technique	NOUN
ejpam-3301	23	24	and	and	CCONJ
ejpam-3301	23	25	linear	linear	ADJ
ejpam-3301	23	26	matrix	matrix	NOUN
ejpam-3301	23	27	inequlaity	inequlaity	NOUN
ejpam-3301	23	28	(	(	PUNCT
ejpam-3301	23	29	lmi	lmi	PROPN
ejpam-3301	23	30	)	)	PUNCT
ejpam-3301	23	31	techniques	technique	NOUN
ejpam-3301	23	32	[	[	X
ejpam-3301	23	33	4	4	NUM
ejpam-3301	23	34	]	]	PUNCT
ejpam-3301	23	35	.	.	PUNCT
ejpam-3301	24	1	1.1	1.1	NUM
ejpam-3301	24	2	.	.	PUNCT
ejpam-3301	25	1	overview	overview	NOUN
ejpam-3301	25	2	of	of	ADP
ejpam-3301	25	3	the	the	DET
ejpam-3301	25	4	article	article	NOUN
ejpam-3301	25	5	section	section	NOUN
ejpam-3301	25	6	2	2	NUM
ejpam-3301	25	7	provides	provide	VERB
ejpam-3301	25	8	the	the	DET
ejpam-3301	25	9	basic	basic	ADJ
ejpam-3301	25	10	framework	framework	NOUN
ejpam-3301	25	11	.	.	PUNCT
ejpam-3301	26	1	in	in	ADP
ejpam-3301	26	2	particular	particular	ADJ
ejpam-3301	26	3	,	,	PUNCT
ejpam-3301	26	4	it	it	PRON
ejpam-3301	26	5	explain	explain	VERB
ejpam-3301	26	6	how	how	SCONJ
ejpam-3301	26	7	the	the	DET
ejpam-3301	26	8	computation	computation	NOUN
ejpam-3301	26	9	of	of	ADP
ejpam-3301	26	10	the	the	DET
ejpam-3301	26	11	ssv	ssv	NOUN
ejpam-3301	26	12	can	can	AUX
ejpam-3301	26	13	be	be	AUX
ejpam-3301	26	14	addressed	address	VERB
ejpam-3301	26	15	by	by	ADP
ejpam-3301	26	16	an	an	DET
ejpam-3301	26	17	inner	inner	ADJ
ejpam-3301	26	18	-	-	PUNCT
ejpam-3301	26	19	outer	outer	ADJ
ejpam-3301	26	20	algorithm	algorithm	NOUN
ejpam-3301	26	21	,	,	PUNCT
ejpam-3301	26	22	where	where	SCONJ
ejpam-3301	26	23	the	the	DET
ejpam-3301	26	24	outer	outer	ADJ
ejpam-3301	26	25	algorithm	algorithm	NOUN
ejpam-3301	26	26	determines	determine	VERB
ejpam-3301	26	27	the	the	DET
ejpam-3301	26	28	perturbation	perturbation	NOUN
ejpam-3301	26	29	level	level	NOUN
ejpam-3301	26	30	ε	ε	PROPN
ejpam-3301	26	31	and	and	CCONJ
ejpam-3301	26	32	the	the	DET
ejpam-3301	26	33	inner	inner	ADJ
ejpam-3301	26	34	algorithm	algorithm	NOUN
ejpam-3301	26	35	determines	determine	VERB
ejpam-3301	26	36	a	a	DET
ejpam-3301	26	37	(	(	PUNCT
ejpam-3301	26	38	local	local	ADJ
ejpam-3301	26	39	)	)	PUNCT
ejpam-3301	26	40	extremizer	extremizer	NOUN
ejpam-3301	26	41	of	of	ADP
ejpam-3301	26	42	the	the	DET
ejpam-3301	26	43	structured	structured	ADJ
ejpam-3301	26	44	spectral	spectral	ADJ
ejpam-3301	26	45	value	value	NOUN
ejpam-3301	26	46	set	set	VERB
ejpam-3301	26	47	.	.	PUNCT
ejpam-3301	27	1	in	in	ADP
ejpam-3301	27	2	section	section	NOUN
ejpam-3301	27	3	3	3	NUM
ejpam-3301	27	4	it	it	PRON
ejpam-3301	27	5	is	be	AUX
ejpam-3301	27	6	explain	explain	VERB
ejpam-3301	27	7	that	that	SCONJ
ejpam-3301	27	8	how	how	SCONJ
ejpam-3301	27	9	the	the	DET
ejpam-3301	27	10	inner	inner	ADJ
ejpam-3301	27	11	algorithm	algorithm	NOUN
ejpam-3301	27	12	works	work	VERB
ejpam-3301	27	13	for	for	ADP
ejpam-3301	27	14	the	the	DET
ejpam-3301	27	15	case	case	NOUN
ejpam-3301	27	16	of	of	ADP
ejpam-3301	27	17	pure	pure	ADJ
ejpam-3301	27	18	complex	complex	ADJ
ejpam-3301	27	19	structured	structured	ADJ
ejpam-3301	27	20	perturbations	perturbation	NOUN
ejpam-3301	27	21	.	.	PUNCT
ejpam-3301	28	1	an	an	DET
ejpam-3301	28	2	important	important	ADJ
ejpam-3301	28	3	characterization	characterization	NOUN
ejpam-3301	28	4	of	of	ADP
ejpam-3301	28	5	extremizers	extremizer	NOUN
ejpam-3301	28	6	shows	show	VERB
ejpam-3301	28	7	that	that	SCONJ
ejpam-3301	28	8	one	one	PRON
ejpam-3301	28	9	can	can	AUX
ejpam-3301	28	10	restrict	restrict	VERB
ejpam-3301	28	11	himself	himself	PRON
ejpam-3301	28	12	to	to	ADP
ejpam-3301	28	13	a	a	DET
ejpam-3301	28	14	manifold	manifold	NOUN
ejpam-3301	28	15	of	of	ADP
ejpam-3301	28	16	structured	structured	ADJ
ejpam-3301	28	17	perturbations	perturbation	NOUN
ejpam-3301	28	18	with	with	ADP
ejpam-3301	28	19	normalized	normalized	ADJ
ejpam-3301	28	20	and	and	CCONJ
ejpam-3301	28	21	low	low	ADJ
ejpam-3301	28	22	-	-	PUNCT
ejpam-3301	28	23	rank	rank	NOUN
ejpam-3301	28	24	blocks	block	NOUN
ejpam-3301	28	25	.	.	PUNCT
ejpam-3301	29	1	in	in	ADP
ejpam-3301	29	2	section	section	NOUN
ejpam-3301	29	3	4	4	NUM
ejpam-3301	29	4	,	,	PUNCT
ejpam-3301	29	5	we	we	PRON
ejpam-3301	29	6	construct	construct	VERB
ejpam-3301	29	7	a	a	DET
ejpam-3301	29	8	gradient	gradient	ADJ
ejpam-3301	29	9	system	system	NOUN
ejpam-3301	29	10	of	of	ADP
ejpam-3301	29	11	ordinary	ordinary	ADJ
ejpam-3301	29	12	differential	differential	ADJ
ejpam-3301	29	13	equations	equation	NOUN
ejpam-3301	29	14	in	in	ADP
ejpam-3301	29	15	order	order	NOUN
ejpam-3301	29	16	to	to	PART
ejpam-3301	29	17	solve	solve	VERB
ejpam-3301	29	18	the	the	DET
ejpam-3301	29	19	local	local	ADJ
ejpam-3301	29	20	optimization	optimization	NOUN
ejpam-3301	29	21	problem	problem	NOUN
ejpam-3301	29	22	.	.	PUNCT
ejpam-3301	30	1	finally	finally	ADV
ejpam-3301	30	2	,	,	PUNCT
ejpam-3301	30	3	section	section	NOUN
ejpam-3301	30	4	5	5	NUM
ejpam-3301	30	5	presents	present	VERB
ejpam-3301	30	6	a	a	DET
ejpam-3301	30	7	range	range	NOUN
ejpam-3301	30	8	of	of	ADP
ejpam-3301	30	9	numerical	numerical	ADJ
ejpam-3301	30	10	experiments	experiment	NOUN
ejpam-3301	30	11	to	to	PART
ejpam-3301	30	12	compare	compare	VERB
ejpam-3301	30	13	the	the	DET
ejpam-3301	30	14	quality	quality	NOUN
ejpam-3301	30	15	of	of	ADP
ejpam-3301	30	16	the	the	DET
ejpam-3301	30	17	lower	low	ADJ
ejpam-3301	30	18	bounds	bound	NOUN
ejpam-3301	30	19	to	to	ADP
ejpam-3301	30	20	those	those	PRON
ejpam-3301	30	21	obtained	obtain	VERB
ejpam-3301	30	22	with	with	ADP
ejpam-3301	30	23	mussv	mussv	PROPN
ejpam-3301	30	24	.	.	PROPN
ejpam-3301	31	1	2	2	X
ejpam-3301	31	2	.	.	X
ejpam-3301	31	3	framework	framework	NOUN
ejpam-3301	31	4	consider	consider	VERB
ejpam-3301	31	5	a	a	DET
ejpam-3301	31	6	∈	∈	PROPN
ejpam-3301	31	7	cr	cr	NOUN
ejpam-3301	31	8	,	,	PUNCT
ejpam-3301	31	9	r	r	NOUN
ejpam-3301	31	10	or	or	CCONJ
ejpam-3301	31	11	a	a	DET
ejpam-3301	31	12	∈	∈	PROPN
ejpam-3301	31	13	rr	rr	NOUN
ejpam-3301	31	14	,	,	PUNCT
ejpam-3301	31	15	r	r	NOUN
ejpam-3301	31	16	and	and	CCONJ
ejpam-3301	31	17	let	let	VERB
ejpam-3301	31	18	θb′	θb′	NOUN
ejpam-3301	31	19	,	,	PUNCT
ejpam-3301	31	20	a	a	DET
ejpam-3301	31	21	perturbation	perturbation	NOUN
ejpam-3301	31	22	set	set	NOUN
ejpam-3301	31	23	defined	define	VERB
ejpam-3301	31	24	as	as	ADP
ejpam-3301	31	25	θb′	θb′	X
ejpam-3301	31	26	=	=	PUNCT
ejpam-3301	31	27	{	{	PUNCT
ejpam-3301	31	28	diag(αiiri	diag(αiiri	PROPN
ejpam-3301	31	29	,	,	PUNCT
ejpam-3301	31	30	γs	γs	VERB
ejpam-3301	31	31	)	)	PUNCT
ejpam-3301	31	32	:	:	PUNCT
ejpam-3301	31	33	αi	αi	PROPN
ejpam-3301	31	34	∈	∈	PROPN
ejpam-3301	31	35	c(r	c(r	NOUN
ejpam-3301	31	36	)	)	PUNCT
ejpam-3301	31	37	,	,	PUNCT
ejpam-3301	31	38	γs	γ	VERB
ejpam-3301	31	39	∈	∈	PROPN
ejpam-3301	31	40	cms	cms	PROPN
ejpam-3301	31	41	,	,	PUNCT
ejpam-3301	31	42	ms(rms	ms(rm	NOUN
ejpam-3301	31	43	,	,	PUNCT
ejpam-3301	31	44	ms	ms	NOUN
ejpam-3301	31	45	)	)	PUNCT
ejpam-3301	31	46	}	}	PUNCT
ejpam-3301	31	47	.	.	PUNCT
ejpam-3301	32	1	here	here	ADV
ejpam-3301	32	2	,	,	PUNCT
ejpam-3301	32	3	ii	ii	PROPN
ejpam-3301	32	4	is	be	AUX
ejpam-3301	32	5	an	an	DET
ejpam-3301	32	6	identity	identity	NOUN
ejpam-3301	32	7	matrix	matrix	NOUN
ejpam-3301	32	8	with	with	ADP
ejpam-3301	32	9	dimension	dimension	NOUN
ejpam-3301	32	10	i.	i.	PROPN
ejpam-3301	32	11	definition	definition	NOUN
ejpam-3301	32	12	2.1	2.1	NUM
ejpam-3301	32	13	.	.	PUNCT
ejpam-3301	33	1	[	[	X
ejpam-3301	33	2	8	8	NUM
ejpam-3301	33	3	]	]	PUNCT
ejpam-3301	33	4	.	.	PUNCT
ejpam-3301	34	1	the	the	DET
ejpam-3301	34	2	structured	structured	ADJ
ejpam-3301	34	3	singular	singular	ADJ
ejpam-3301	34	4	value	value	NOUN
ejpam-3301	34	5	for	for	ADP
ejpam-3301	34	6	an	an	DET
ejpam-3301	34	7	operator	operator	NOUN
ejpam-3301	34	8	a	a	DET
ejpam-3301	34	9	∈	∈	PROPN
ejpam-3301	34	10	cr	cr	NOUN
ejpam-3301	34	11	,	,	PUNCT
ejpam-3301	34	12	r	r	NOUN
ejpam-3301	34	13	or	or	CCONJ
ejpam-3301	34	14	a	a	DET
ejpam-3301	34	15	∈	∈	PROPN
ejpam-3301	34	16	rr	rr	NOUN
ejpam-3301	34	17	,	,	PUNCT
ejpam-3301	34	18	r	r	NOUN
ejpam-3301	34	19	w.r.t	w.r.t	NOUN
ejpam-3301	34	20	θb′	θb′	NOUN
ejpam-3301	34	21	is	be	AUX
ejpam-3301	34	22	defined	define	VERB
ejpam-3301	34	23	as	as	SCONJ
ejpam-3301	34	24	follows	follow	VERB
ejpam-3301	34	25	:	:	PUNCT
ejpam-3301	34	26	µθb′	µθb′	ADJ
ejpam-3301	34	27	(	(	PUNCT
ejpam-3301	34	28	a	a	X
ejpam-3301	34	29	)	)	PUNCT
ejpam-3301	34	30	:	:	PUNCT
ejpam-3301	35	1	=	=	SYM
ejpam-3301	35	2	1	1	NUM
ejpam-3301	35	3	min	min	NOUN
ejpam-3301	35	4	{	{	PUNCT
ejpam-3301	35	5	‖℘‖2	‖℘‖2	NOUN
ejpam-3301	35	6	:	:	PUNCT
ejpam-3301	35	7	℘	℘	PROPN
ejpam-3301	35	8	∈	∈	NOUN
ejpam-3301	35	9	θb′	θb′	NOUN
ejpam-3301	35	10	,	,	PUNCT
ejpam-3301	35	11	det(i	det(i	PROPN
ejpam-3301	35	12	−a℘	−a℘	ADV
ejpam-3301	35	13	)	)	PUNCT
ejpam-3301	35	14	=	=	SYM
ejpam-3301	35	15	0	0	NUM
ejpam-3301	35	16	}	}	PUNCT
ejpam-3301	35	17	.	.	PUNCT
ejpam-3301	36	1	(	(	PUNCT
ejpam-3301	36	2	1	1	X
ejpam-3301	36	3	)	)	PUNCT
ejpam-3301	36	4	in	in	ADP
ejpam-3301	36	5	above	above	ADV
ejpam-3301	36	6	given	give	VERB
ejpam-3301	36	7	definition	definition	NOUN
ejpam-3301	36	8	2.1	2.1	NUM
ejpam-3301	36	9	,	,	PUNCT
ejpam-3301	36	10	the	the	DET
ejpam-3301	36	11	quantity	quantity	NOUN
ejpam-3301	36	12	det	det	PROPN
ejpam-3301	36	13	(	(	PUNCT
ejpam-3301	36	14	·	·	PUNCT
ejpam-3301	36	15	)	)	PUNCT
ejpam-3301	36	16	denotes	denote	VERB
ejpam-3301	36	17	determinants	determinant	NOUN
ejpam-3301	36	18	of	of	ADP
ejpam-3301	36	19	operator	operator	NOUN
ejpam-3301	36	20	(	(	PUNCT
ejpam-3301	36	21	i	i	PRON
ejpam-3301	36	22	−	−	PROPN
ejpam-3301	36	23	a℘	a℘	PROPN
ejpam-3301	36	24	)	)	PUNCT
ejpam-3301	36	25	.	.	PUNCT
ejpam-3301	37	1	the	the	DET
ejpam-3301	37	2	above	above	ADJ
ejpam-3301	37	3	definition	definition	NOUN
ejpam-3301	37	4	2.1	2.1	NUM
ejpam-3301	37	5	for	for	ADP
ejpam-3301	37	6	the	the	DET
ejpam-3301	37	7	case	case	NOUN
ejpam-3301	37	8	of	of	ADP
ejpam-3301	37	9	pure	pure	ADJ
ejpam-3301	37	10	complex	complex	ADJ
ejpam-3301	37	11	perturbation	perturbation	NOUN
ejpam-3301	37	12	takes	take	VERB
ejpam-3301	37	13	the	the	DET
ejpam-3301	37	14	form	form	NOUN
ejpam-3301	37	15	:	:	PUNCT
ejpam-3301	37	16	µθb(a	µθb(a	X
ejpam-3301	37	17	)	)	PUNCT
ejpam-3301	37	18	=	=	SYM
ejpam-3301	37	19	1	1	NUM
ejpam-3301	37	20	min	min	NOUN
ejpam-3301	37	21	{	{	PUNCT
ejpam-3301	37	22	‖℘‖2	‖℘‖2	NOUN
ejpam-3301	37	23	:	:	PUNCT
ejpam-3301	37	24	℘	℘	PROPN
ejpam-3301	37	25	∈	∈	PROPN
ejpam-3301	37	26	θb	θb	PROPN
ejpam-3301	37	27	,	,	PUNCT
ejpam-3301	37	28	ρ(a℘	ρ(a℘	NOUN
ejpam-3301	37	29	)	)	PUNCT
ejpam-3301	37	30	=	=	SYM
ejpam-3301	37	31	1	1	NUM
ejpam-3301	37	32	}	}	PUNCT
ejpam-3301	37	33	.	.	PUNCT
ejpam-3301	38	1	(	(	PUNCT
ejpam-3301	38	2	2	2	X
ejpam-3301	38	3	)	)	PUNCT
ejpam-3301	38	4	in	in	ADP
ejpam-3301	38	5	equ	equ	PROPN
ejpam-3301	38	6	.	.	PUNCT
ejpam-3301	39	1	(	(	PUNCT
ejpam-3301	39	2	2.2	2.2	NUM
ejpam-3301	39	3	)	)	PUNCT
ejpam-3301	39	4	,	,	PUNCT
ejpam-3301	39	5	the	the	DET
ejpam-3301	39	6	quantity	quantity	NOUN
ejpam-3301	39	7	ρ	ρ	NOUN
ejpam-3301	39	8	(	(	PUNCT
ejpam-3301	39	9	·	·	PUNCT
ejpam-3301	39	10	)	)	PUNCT
ejpam-3301	39	11	is	be	AUX
ejpam-3301	39	12	known	know	VERB
ejpam-3301	39	13	as	as	ADP
ejpam-3301	39	14	the	the	DET
ejpam-3301	39	15	spectral	spectral	ADJ
ejpam-3301	39	16	radius	radius	NOUN
ejpam-3301	39	17	that	that	PRON
ejpam-3301	39	18	is	be	AUX
ejpam-3301	39	19	ρ(a℘	ρ(a℘	X
ejpam-3301	39	20	)	)	PUNCT
ejpam-3301	40	1	=	=	PUNCT
ejpam-3301	40	2	max|λi|	max|λi|	NOUN
ejpam-3301	40	3	where	where	SCONJ
ejpam-3301	40	4	λi	λi	ADP
ejpam-3301	40	5	is	be	AUX
ejpam-3301	40	6	the	the	DET
ejpam-3301	40	7	spectrum	spectrum	NOUN
ejpam-3301	40	8	of	of	ADP
ejpam-3301	40	9	an	an	DET
ejpam-3301	40	10	operator	operator	NOUN
ejpam-3301	40	11	a℘.	a℘.	NOUN
ejpam-3301	40	12	structured	structure	VERB
ejpam-3301	40	13	spectral	spectral	ADJ
ejpam-3301	40	14	value	value	NOUN
ejpam-3301	40	15	sets	set	NOUN
ejpam-3301	40	16	.	.	PUNCT
ejpam-3301	41	1	consider	consider	VERB
ejpam-3301	41	2	the	the	DET
ejpam-3301	41	3	given	give	VERB
ejpam-3301	41	4	input	input	NOUN
ejpam-3301	41	5	arguments	argument	NOUN
ejpam-3301	41	6	a	a	DET
ejpam-3301	41	7	∈	∈	PROPN
ejpam-3301	41	8	cr×r	cr×r	NOUN
ejpam-3301	41	9	and	and	CCONJ
ejpam-3301	41	10	ε	ε	PROPN
ejpam-3301	41	11	,	,	PUNCT
ejpam-3301	41	12	the	the	DET
ejpam-3301	41	13	desired	desire	VERB
ejpam-3301	41	14	perturbation	perturbation	NOUN
ejpam-3301	41	15	level	level	NOUN
ejpam-3301	41	16	.	.	PUNCT
ejpam-3301	42	1	the	the	DET
ejpam-3301	42	2	structured	structured	ADJ
ejpam-3301	42	3	spectral	spectral	ADJ
ejpam-3301	42	4	value	value	NOUN
ejpam-3301	42	5	set	set	VERB
ejpam-3301	42	6	is	be	AUX
ejpam-3301	42	7	the	the	DET
ejpam-3301	42	8	set	set	NOUN
ejpam-3301	42	9	containing	contain	VERB
ejpam-3301	42	10	all	all	DET
ejpam-3301	42	11	the	the	DET
ejpam-3301	42	12	eigenvalues	eigenvalue	NOUN
ejpam-3301	42	13	of	of	ADP
ejpam-3301	42	14	an	an	DET
ejpam-3301	42	15	operator	operator	NOUN
ejpam-3301	42	16	(	(	PUNCT
ejpam-3301	42	17	εa℘	εa℘	NUM
ejpam-3301	42	18	)	)	PUNCT
ejpam-3301	42	19	and	and	CCONJ
ejpam-3301	42	20	is	be	AUX
ejpam-3301	42	21	defined	define	VERB
ejpam-3301	42	22	as	as	ADP
ejpam-3301	42	23	:	:	PUNCT
ejpam-3301	42	24	λ	λ	PROPN
ejpam-3301	42	25	θb′	θb′	ADV
ejpam-3301	42	26	ε∗	ε∗	PROPN
ejpam-3301	42	27	(	(	PUNCT
ejpam-3301	42	28	a	a	X
ejpam-3301	42	29	)	)	PUNCT
ejpam-3301	42	30	=	=	SYM
ejpam-3301	42	31	{	{	PUNCT
ejpam-3301	42	32	λ	λ	X
ejpam-3301	42	33	∈	∈	PROPN
ejpam-3301	42	34	λ(ε∗a℘	λ(ε∗a℘	NOUN
ejpam-3301	42	35	)	)	PUNCT
ejpam-3301	42	36	:	:	PUNCT
ejpam-3301	42	37	℘	℘	PROPN
ejpam-3301	42	38	∈	∈	NOUN
ejpam-3301	42	39	θb′	θb′	NOUN
ejpam-3301	42	40	}	}	PUNCT
ejpam-3301	42	41	.	.	PUNCT
ejpam-3301	43	1	(	(	PUNCT
ejpam-3301	43	2	3	3	X
ejpam-3301	43	3	)	)	PUNCT
ejpam-3301	43	4	m.	m.	NOUN
ejpam-3301	43	5	f.	f.	PROPN
ejpam-3301	43	6	anwar	anwar	PROPN
ejpam-3301	43	7	,	,	PUNCT
ejpam-3301	43	8	m.	m.	NOUN
ejpam-3301	43	9	rehman	rehman	PROPN
ejpam-3301	43	10	/	/	SYM
ejpam-3301	43	11	eur	eur	PROPN
ejpam-3301	43	12	.	.	PUNCT
ejpam-3301	44	1	j.	j.	PROPN
ejpam-3301	44	2	pure	pure	PROPN
ejpam-3301	44	3	appl	appl	PROPN
ejpam-3301	44	4	.	.	PROPN
ejpam-3301	44	5	math	math	PROPN
ejpam-3301	44	6	,	,	PUNCT
ejpam-3301	44	7	11	11	NUM
ejpam-3301	44	8	(	(	PUNCT
ejpam-3301	44	9	3	3	NUM
ejpam-3301	44	10	)	)	PUNCT
ejpam-3301	44	11	(	(	PUNCT
ejpam-3301	44	12	2018	2018	NUM
ejpam-3301	44	13	)	)	PUNCT
ejpam-3301	44	14	,	,	PUNCT
ejpam-3301	44	15	844	844	NUM
ejpam-3301	44	16	-	-	SYM
ejpam-3301	44	17	868	868	NUM
ejpam-3301	44	18	846	846	NUM
ejpam-3301	44	19	here	here	ADV
ejpam-3301	44	20	,	,	PUNCT
ejpam-3301	44	21	λ	λ	PROPN
ejpam-3301	44	22	(	(	PUNCT
ejpam-3301	44	23	·	·	PUNCT
ejpam-3301	44	24	)	)	PUNCT
ejpam-3301	44	25	is	be	AUX
ejpam-3301	44	26	the	the	DET
ejpam-3301	44	27	set	set	NOUN
ejpam-3301	44	28	of	of	ADP
ejpam-3301	44	29	all	all	DET
ejpam-3301	44	30	eigenvalues	eigenvalue	NOUN
ejpam-3301	44	31	of	of	ADP
ejpam-3301	44	32	an	an	DET
ejpam-3301	44	33	operator	operator	NOUN
ejpam-3301	44	34	and	and	CCONJ
ejpam-3301	44	35	‖℘‖2	‖℘‖2	NOUN
ejpam-3301	44	36	=	=	SYM
ejpam-3301	45	1	1	1	X
ejpam-3301	45	2	.	.	PUNCT
ejpam-3301	46	1	if	if	SCONJ
ejpam-3301	46	2	we	we	PRON
ejpam-3301	46	3	consider	consider	VERB
ejpam-3301	46	4	both	both	DET
ejpam-3301	46	5	mixed	mixed	ADJ
ejpam-3301	46	6	real	real	ADJ
ejpam-3301	46	7	and	and	CCONJ
ejpam-3301	46	8	complex	complex	ADJ
ejpam-3301	46	9	perturbations	perturbation	NOUN
ejpam-3301	46	10	,	,	PUNCT
ejpam-3301	46	11	then	then	ADV
ejpam-3301	46	12	structured	structured	ADJ
ejpam-3301	46	13	spectral	spectral	ADJ
ejpam-3301	46	14	value	value	NOUN
ejpam-3301	46	15	set	set	NOUN
ejpam-3301	46	16	is	be	AUX
ejpam-3301	46	17	of	of	ADP
ejpam-3301	46	18	the	the	DET
ejpam-3301	46	19	form	form	NOUN
ejpam-3301	46	20	:	:	PUNCT
ejpam-3301	46	21	σ	σ	X
ejpam-3301	46	22	θb′	θb′	ADV
ejpam-3301	46	23	ε∗	ε∗	PROPN
ejpam-3301	46	24	(	(	PUNCT
ejpam-3301	46	25	a	a	X
ejpam-3301	46	26	)	)	PUNCT
ejpam-3301	46	27	=	=	SYM
ejpam-3301	46	28	{	{	PUNCT
ejpam-3301	46	29	η	η	PROPN
ejpam-3301	46	30	=	=	PROPN
ejpam-3301	46	31	1−	1−	NUM
ejpam-3301	46	32	λ1	λ1	NOUN
ejpam-3301	46	33	:	:	PUNCT
ejpam-3301	46	34	λ1	λ1	PROPN
ejpam-3301	46	35	∈	∈	PROPN
ejpam-3301	46	36	λ	λ	PROPN
ejpam-3301	46	37	θb′	θb′	PUNCT
ejpam-3301	46	38	ε∗	ε∗	PROPN
ejpam-3301	46	39	(	(	PUNCT
ejpam-3301	46	40	a	a	NOUN
ejpam-3301	46	41	)	)	PUNCT
ejpam-3301	46	42	}	}	PUNCT
ejpam-3301	46	43	.	.	PUNCT
ejpam-3301	47	1	(	(	PUNCT
ejpam-3301	47	2	4	4	X
ejpam-3301	47	3	)	)	PUNCT
ejpam-3301	47	4	the	the	DET
ejpam-3301	47	5	above	above	ADJ
ejpam-3301	47	6	formulation	formulation	NOUN
ejpam-3301	47	7	in	in	ADP
ejpam-3301	47	8	equ	equ	PROPN
ejpam-3301	47	9	.	.	PUNCT
ejpam-3301	48	1	(	(	PUNCT
ejpam-3301	48	2	2.4	2.4	NUM
ejpam-3301	48	3	)	)	PUNCT
ejpam-3301	48	4	helps	help	VERB
ejpam-3301	48	5	us	we	PRON
ejpam-3301	48	6	to	to	PART
ejpam-3301	48	7	write	write	VERB
ejpam-3301	48	8	down	down	ADP
ejpam-3301	48	9	the	the	DET
ejpam-3301	48	10	alternative	alternative	ADJ
ejpam-3301	48	11	definition	definition	NOUN
ejpam-3301	48	12	of	of	ADP
ejpam-3301	48	13	structured	structure	VERB
ejpam-3301	48	14	singular	singular	ADJ
ejpam-3301	48	15	value	value	NOUN
ejpam-3301	48	16	as	as	SCONJ
ejpam-3301	48	17	given	give	VERB
ejpam-3301	48	18	in	in	ADP
ejpam-3301	48	19	equ	equ	PROPN
ejpam-3301	48	20	.	.	PUNCT
ejpam-3301	49	1	(	(	PUNCT
ejpam-3301	49	2	1.2	1.2	NUM
ejpam-3301	49	3	)	)	PUNCT
ejpam-3301	49	4	as	as	SCONJ
ejpam-3301	49	5	follows	follow	VERB
ejpam-3301	49	6	:	:	PUNCT
ejpam-3301	49	7	µθb′	µθb′	ADJ
ejpam-3301	49	8	(	(	PUNCT
ejpam-3301	49	9	a	a	X
ejpam-3301	49	10	)	)	PUNCT
ejpam-3301	49	11	=	=	SYM
ejpam-3301	49	12	1	1	NUM
ejpam-3301	49	13	arg	arg	NOUN
ejpam-3301	49	14	min{0	min{0	PROPN
ejpam-3301	49	15	∈	∈	PROPN
ejpam-3301	49	16	σ	σ	PROPN
ejpam-3301	49	17	θb′	θb′	PUNCT
ejpam-3301	49	18	ε∗	ε∗	PROPN
ejpam-3301	49	19	(	(	PUNCT
ejpam-3301	49	20	a	a	NOUN
ejpam-3301	49	21	)	)	PUNCT
ejpam-3301	49	22	}	}	PUNCT
ejpam-3301	49	23	.	.	PUNCT
ejpam-3301	50	1	(	(	PUNCT
ejpam-3301	50	2	5	5	X
ejpam-3301	50	3	)	)	PUNCT
ejpam-3301	50	4	while	while	SCONJ
ejpam-3301	50	5	for	for	ADP
ejpam-3301	50	6	the	the	DET
ejpam-3301	50	7	case	case	NOUN
ejpam-3301	50	8	when	when	SCONJ
ejpam-3301	50	9	we	we	PRON
ejpam-3301	50	10	have	have	VERB
ejpam-3301	50	11	only	only	ADV
ejpam-3301	50	12	pure	pure	ADJ
ejpam-3301	50	13	complex	complex	ADJ
ejpam-3301	50	14	perturbations	perturbation	NOUN
ejpam-3301	50	15	,	,	PUNCT
ejpam-3301	50	16	then	then	ADV
ejpam-3301	50	17	equ	equ	PROPN
ejpam-3301	50	18	.	.	PUNCT
ejpam-3301	51	1	(	(	PUNCT
ejpam-3301	51	2	2.3	2.3	NUM
ejpam-3301	51	3	)	)	PUNCT
ejpam-3301	51	4	allows	allow	VERB
ejpam-3301	51	5	us	we	PRON
ejpam-3301	51	6	to	to	PART
ejpam-3301	51	7	alternatively	alternatively	ADV
ejpam-3301	51	8	express	express	VERB
ejpam-3301	51	9	structured	structured	ADJ
ejpam-3301	51	10	singular	singular	ADJ
ejpam-3301	51	11	values	value	NOUN
ejpam-3301	51	12	as	as	ADP
ejpam-3301	51	13	µθb(a	µθb(a	NOUN
ejpam-3301	51	14	)	)	PUNCT
ejpam-3301	51	15	=	=	SYM
ejpam-3301	51	16	1	1	NUM
ejpam-3301	51	17	arg	arg	NOUN
ejpam-3301	51	18	min{max	min{max	NOUN
ejpam-3301	51	19	|λ1|	|λ1|	X
ejpam-3301	51	20	=	=	NOUN
ejpam-3301	51	21	1	1	NUM
ejpam-3301	51	22	}	}	PUNCT
ejpam-3301	51	23	.	.	PUNCT
ejpam-3301	52	1	(	(	PUNCT
ejpam-3301	52	2	6	6	X
ejpam-3301	52	3	)	)	PUNCT
ejpam-3301	52	4	problem	problem	NOUN
ejpam-3301	52	5	under	under	ADP
ejpam-3301	52	6	consideration	consideration	NOUN
ejpam-3301	52	7	.	.	PUNCT
ejpam-3301	53	1	our	our	PRON
ejpam-3301	53	2	goal	goal	NOUN
ejpam-3301	53	3	is	be	AUX
ejpam-3301	53	4	to	to	PART
ejpam-3301	53	5	solve	solve	VERB
ejpam-3301	53	6	following	follow	VERB
ejpam-3301	53	7	optimization	optimization	NOUN
ejpam-3301	53	8	problem	problem	NOUN
ejpam-3301	53	9	,	,	PUNCT
ejpam-3301	53	10	ξ(ε∗	ξ(ε∗	NOUN
ejpam-3301	53	11	)	)	PUNCT
ejpam-3301	53	12	=	=	SYM
ejpam-3301	53	13	arg	arg	NOUN
ejpam-3301	53	14	min	min	PROPN
ejpam-3301	53	15	|η|	|η|	PROPN
ejpam-3301	53	16	.	.	PROPN
ejpam-3301	54	1	(	(	PUNCT
ejpam-3301	54	2	7	7	X
ejpam-3301	54	3	)	)	PUNCT
ejpam-3301	54	4	in	in	ADP
ejpam-3301	54	5	above	above	ADP
ejpam-3301	54	6	equ	equ	PROPN
ejpam-3301	54	7	.	.	PUNCT
ejpam-3301	55	1	(	(	PUNCT
ejpam-3301	55	2	2.7	2.7	NUM
ejpam-3301	55	3	)	)	PUNCT
ejpam-3301	55	4	,	,	PUNCT
ejpam-3301	55	5	η	η	PROPN
ejpam-3301	55	6	∈	∈	PROPN
ejpam-3301	55	7	σ	σ	PROPN
ejpam-3301	55	8	θb′	θb′	PUNCT
ejpam-3301	55	9	ε∗	ε∗	PROPN
ejpam-3301	55	10	(	(	PUNCT
ejpam-3301	55	11	a	a	NOUN
ejpam-3301	55	12	)	)	PUNCT
ejpam-3301	55	13	for	for	ADP
ejpam-3301	55	14	a	a	DET
ejpam-3301	55	15	fixed	fix	VERB
ejpam-3301	55	16	parameter	parameter	NOUN
ejpam-3301	55	17	ε	ε	PROPN
ejpam-3301	55	18	>	>	X
ejpam-3301	55	19	0	0	PROPN
ejpam-3301	55	20	.	.	PUNCT
ejpam-3301	56	1	in	in	ADP
ejpam-3301	56	2	order	order	NOUN
ejpam-3301	56	3	to	to	PART
ejpam-3301	56	4	solve	solve	VERB
ejpam-3301	56	5	the	the	DET
ejpam-3301	56	6	optimization	optimization	NOUN
ejpam-3301	56	7	problem	problem	NOUN
ejpam-3301	56	8	addressed	address	VERB
ejpam-3301	56	9	in	in	ADP
ejpam-3301	56	10	equ	equ	PROPN
ejpam-3301	56	11	.	.	PUNCT
ejpam-3301	57	1	(	(	PUNCT
ejpam-3301	57	2	2.7	2.7	NUM
ejpam-3301	57	3	)	)	PUNCT
ejpam-3301	57	4	,	,	PUNCT
ejpam-3301	57	5	we	we	PRON
ejpam-3301	57	6	suggests	suggest	VERB
ejpam-3301	57	7	a	a	DET
ejpam-3301	57	8	two	two	NUM
ejpam-3301	57	9	-	-	PUNCT
ejpam-3301	57	10	level	level	NOUN
ejpam-3301	57	11	algorithm	algorithm	NOUN
ejpam-3301	57	12	.	.	PUNCT
ejpam-3301	58	1	in	in	ADP
ejpam-3301	58	2	the	the	DET
ejpam-3301	58	3	inner	inner	ADJ
ejpam-3301	58	4	algorithm	algorithm	NOUN
ejpam-3301	58	5	,	,	PUNCT
ejpam-3301	58	6	we	we	PRON
ejpam-3301	58	7	give	give	VERB
ejpam-3301	58	8	a	a	DET
ejpam-3301	58	9	solution	solution	NOUN
ejpam-3301	58	10	of	of	ADP
ejpam-3301	58	11	equ	equ	PROPN
ejpam-3301	58	12	.	.	PUNCT
ejpam-3301	59	1	(	(	PUNCT
ejpam-3301	59	2	2.7	2.7	NUM
ejpam-3301	59	3	)	)	PUNCT
ejpam-3301	59	4	by	by	ADP
ejpam-3301	59	5	constructing	construct	VERB
ejpam-3301	59	6	and	and	CCONJ
ejpam-3301	59	7	then	then	ADV
ejpam-3301	59	8	solving	solve	VERB
ejpam-3301	59	9	a	a	DET
ejpam-3301	59	10	gradient	gradient	ADJ
ejpam-3301	59	11	system	system	NOUN
ejpam-3301	59	12	of	of	ADP
ejpam-3301	59	13	ordinary	ordinary	ADJ
ejpam-3301	59	14	differential	differential	ADJ
ejpam-3301	59	15	equations	equation	NOUN
ejpam-3301	59	16	.	.	PUNCT
ejpam-3301	60	1	in	in	ADP
ejpam-3301	60	2	the	the	DET
ejpam-3301	60	3	outer	outer	ADJ
ejpam-3301	60	4	algorithm	algorithm	NOUN
ejpam-3301	60	5	,	,	PUNCT
ejpam-3301	60	6	with	with	ADP
ejpam-3301	60	7	the	the	DET
ejpam-3301	60	8	help	help	NOUN
ejpam-3301	60	9	of	of	ADP
ejpam-3301	60	10	an	an	DET
ejpam-3301	60	11	iterative	iterative	NOUN
ejpam-3301	60	12	method	method	NOUN
ejpam-3301	60	13	we	we	PRON
ejpam-3301	60	14	first	first	ADV
ejpam-3301	60	15	vary	vary	VERB
ejpam-3301	60	16	the	the	DET
ejpam-3301	60	17	perturbation	perturbation	NOUN
ejpam-3301	60	18	level	level	NOUN
ejpam-3301	60	19	ε	ε	PROPN
ejpam-3301	60	20	.	.	PUNCT
ejpam-3301	61	1	first	first	ADV
ejpam-3301	61	2	we	we	PRON
ejpam-3301	61	3	address	address	VERB
ejpam-3301	61	4	the	the	DET
ejpam-3301	61	5	case	case	NOUN
ejpam-3301	61	6	of	of	ADP
ejpam-3301	61	7	a	a	DET
ejpam-3301	61	8	purely	purely	ADV
ejpam-3301	61	9	complex	complex	ADJ
ejpam-3301	61	10	perturbations	perturbation	NOUN
ejpam-3301	61	11	when	when	SCONJ
ejpam-3301	61	12	θb	θb	ADP
ejpam-3301	61	13	by	by	ADP
ejpam-3301	61	14	taking	take	VERB
ejpam-3301	61	15	the	the	DET
ejpam-3301	61	16	inner	inner	ADJ
ejpam-3301	61	17	algorithm	algorithm	NOUN
ejpam-3301	61	18	in	in	ADP
ejpam-3301	61	19	order	order	NOUN
ejpam-3301	61	20	to	to	PART
ejpam-3301	61	21	compute	compute	VERB
ejpam-3301	61	22	a	a	DET
ejpam-3301	61	23	local	local	ADJ
ejpam-3301	61	24	extremizer	extremizer	NOUN
ejpam-3301	61	25	for	for	ADP
ejpam-3301	61	26	λ(ε	λ(ε	NOUN
ejpam-3301	61	27	)	)	PUNCT
ejpam-3301	61	28	=	=	PUNCT
ejpam-3301	61	29	arg	arg	NOUN
ejpam-3301	61	30	max	max	PROPN
ejpam-3301	61	31	|λ1|	|λ1|	PROPN
ejpam-3301	61	32	.	.	PUNCT
ejpam-3301	62	1	(	(	PUNCT
ejpam-3301	62	2	8)	8)	NUM
ejpam-3301	62	3	in	in	ADP
ejpam-3301	62	4	above	above	ADP
ejpam-3301	62	5	equ	equ	PROPN
ejpam-3301	62	6	.	.	PUNCT
ejpam-3301	63	1	(	(	PUNCT
ejpam-3301	63	2	2.8	2.8	NUM
ejpam-3301	63	3	)	)	PUNCT
ejpam-3301	63	4	,	,	PUNCT
ejpam-3301	63	5	λ1	λ1	PROPN
ejpam-3301	63	6	∈	∈	PROPN
ejpam-3301	63	7	λθb	λθb	NOUN
ejpam-3301	63	8	ε	ε	PROPN
ejpam-3301	63	9	(	(	PUNCT
ejpam-3301	63	10	m	m	PROPN
ejpam-3301	63	11	)	)	PUNCT
ejpam-3301	63	12	which	which	PRON
ejpam-3301	63	13	gives	give	VERB
ejpam-3301	63	14	us	we	PRON
ejpam-3301	63	15	a	a	DET
ejpam-3301	63	16	lower	lower	ADV
ejpam-3301	63	17	bound	bind	VERB
ejpam-3301	63	18	for	for	ADP
ejpam-3301	63	19	structured	structure	VERB
ejpam-3301	63	20	singular	singular	ADJ
ejpam-3301	63	21	values	value	NOUN
ejpam-3301	63	22	in	in	ADP
ejpam-3301	63	23	case	case	NOUN
ejpam-3301	63	24	of	of	ADP
ejpam-3301	63	25	pure	pure	ADJ
ejpam-3301	63	26	complex	complex	ADJ
ejpam-3301	63	27	uncertainties	uncertainty	NOUN
ejpam-3301	63	28	that	that	PRON
ejpam-3301	63	29	is	be	AUX
ejpam-3301	63	30	µ∆b(m	µ∆b(m	ADV
ejpam-3301	63	31	)	)	PUNCT
ejpam-3301	63	32	.	.	PUNCT
ejpam-3301	64	1	first	first	ADV
ejpam-3301	64	2	we	we	PRON
ejpam-3301	64	3	consider	consider	VERB
ejpam-3301	64	4	the	the	DET
ejpam-3301	64	5	case	case	NOUN
ejpam-3301	64	6	of	of	ADP
ejpam-3301	64	7	pure	pure	ADJ
ejpam-3301	64	8	complex	complex	ADJ
ejpam-3301	64	9	perturbations	perturbation	NOUN
ejpam-3301	64	10	that	that	PRON
ejpam-3301	64	11	is	be	AUX
ejpam-3301	64	12	by	by	ADP
ejpam-3301	64	13	taking	take	VERB
ejpam-3301	64	14	into	into	ADP
ejpam-3301	64	15	account	account	NOUN
ejpam-3301	64	16	the	the	DET
ejpam-3301	64	17	perturbations	perturbation	NOUN
ejpam-3301	64	18	set	set	VERB
ejpam-3301	64	19	θb	θb	NOUN
ejpam-3301	64	20	instead	instead	ADV
ejpam-3301	64	21	of	of	ADP
ejpam-3301	64	22	θb′	θb′	NOUN
ejpam-3301	64	23	.	.	PUNCT
ejpam-3301	65	1	3	3	X
ejpam-3301	65	2	.	.	X
ejpam-3301	65	3	pure	pure	ADJ
ejpam-3301	65	4	complex	complex	ADJ
ejpam-3301	65	5	perturbations	perturbation	NOUN
ejpam-3301	65	6	in	in	ADP
ejpam-3301	65	7	this	this	DET
ejpam-3301	65	8	section	section	NOUN
ejpam-3301	65	9	,	,	PUNCT
ejpam-3301	65	10	we	we	PRON
ejpam-3301	65	11	compute	compute	VERB
ejpam-3301	65	12	the	the	DET
ejpam-3301	65	13	solution	solution	NOUN
ejpam-3301	65	14	to	to	ADP
ejpam-3301	65	15	optimization	optimization	NOUN
ejpam-3301	65	16	problems	problem	NOUN
ejpam-3301	65	17	as	as	SCONJ
ejpam-3301	65	18	discussed	discuss	VERB
ejpam-3301	65	19	in	in	ADP
ejpam-3301	65	20	equ	equ	PROPN
ejpam-3301	65	21	.	.	PUNCT
ejpam-3301	66	1	(	(	PUNCT
ejpam-3301	66	2	2.8	2.8	NUM
ejpam-3301	66	3	)	)	PUNCT
ejpam-3301	66	4	.	.	PUNCT
ejpam-3301	67	1	for	for	ADP
ejpam-3301	67	2	this	this	PRON
ejpam-3301	67	3	we	we	PRON
ejpam-3301	67	4	consider	consider	VERB
ejpam-3301	67	5	the	the	DET
ejpam-3301	67	6	estimation	estimation	NOUN
ejpam-3301	67	7	of	of	ADP
ejpam-3301	67	8	µθb(a	µθb(a	NOUN
ejpam-3301	67	9	)	)	PUNCT
ejpam-3301	67	10	for	for	ADP
ejpam-3301	67	11	the	the	DET
ejpam-3301	67	12	given	give	VERB
ejpam-3301	67	13	operator	operator	NOUN
ejpam-3301	67	14	a	a	DET
ejpam-3301	67	15	∈	∈	PROPN
ejpam-3301	67	16	cr	cr	PROPN
ejpam-3301	67	17	,	,	PUNCT
ejpam-3301	67	18	r.	r.	PROPN
ejpam-3301	67	19	also	also	ADV
ejpam-3301	67	20	,	,	PUNCT
ejpam-3301	67	21	in	in	ADP
ejpam-3301	67	22	this	this	DET
ejpam-3301	67	23	case	case	NOUN
ejpam-3301	67	24	we	we	PRON
ejpam-3301	67	25	consider	consider	VERB
ejpam-3301	67	26	the	the	DET
ejpam-3301	67	27	pure	pure	ADJ
ejpam-3301	67	28	complex	complex	ADJ
ejpam-3301	67	29	perturbations	perturbation	NOUN
ejpam-3301	67	30	that	that	PRON
ejpam-3301	67	31	is	be	AUX
ejpam-3301	67	32	θb	θb	ADP
ejpam-3301	67	33	=	=	PRON
ejpam-3301	67	34	{	{	PUNCT
ejpam-3301	67	35	diag(α1i1	diag(α1i1	PROPN
ejpam-3301	67	36	,	,	PUNCT
ejpam-3301	67	37	...	...	PUNCT
ejpam-3301	67	38	,	,	PUNCT
ejpam-3301	67	39	αnin;℘1	αnin;℘1	PROPN
ejpam-3301	67	40	,	,	PUNCT
ejpam-3301	67	41	...	...	PUNCT
ejpam-3301	67	42	,	,	PUNCT
ejpam-3301	67	43	℘f	℘f	PROPN
ejpam-3301	67	44	)	)	PUNCT
ejpam-3301	67	45	:	:	PUNCT
ejpam-3301	68	1	αi	αi	VERB
ejpam-3301	68	2	∈	∈	PROPN
ejpam-3301	69	1	c	c	X
ejpam-3301	69	2	,	,	PUNCT
ejpam-3301	69	3	℘j	℘j	NOUN
ejpam-3301	69	4	∈	∈	PROPN
ejpam-3301	69	5	cmj	cmj	NOUN
ejpam-3301	69	6	,	,	PUNCT
ejpam-3301	69	7	mj	mj	NOUN
ejpam-3301	69	8	}	}	PUNCT
ejpam-3301	69	9	.	.	PUNCT
ejpam-3301	70	1	(	(	PUNCT
ejpam-3301	70	2	9	9	X
ejpam-3301	70	3	)	)	PUNCT
ejpam-3301	70	4	the	the	DET
ejpam-3301	70	5	following	follow	VERB
ejpam-3301	70	6	lemma	lemma	PROPN
ejpam-3301	70	7	3.1	3.1	NUM
ejpam-3301	70	8	gives	give	VERB
ejpam-3301	70	9	the	the	DET
ejpam-3301	70	10	behavior	behavior	NOUN
ejpam-3301	70	11	of	of	ADP
ejpam-3301	70	12	the	the	DET
ejpam-3301	70	13	spectrum	spectrum	NOUN
ejpam-3301	70	14	of	of	ADP
ejpam-3301	70	15	a	a	DET
ejpam-3301	70	16	matrix	matrix	NOUN
ejpam-3301	70	17	valued	value	VERB
ejpam-3301	70	18	function	function	NOUN
ejpam-3301	70	19	.	.	PUNCT
ejpam-3301	71	1	m.	m.	PROPN
ejpam-3301	71	2	f.	f.	PROPN
ejpam-3301	71	3	anwar	anwar	PROPN
ejpam-3301	71	4	,	,	PUNCT
ejpam-3301	71	5	m.	m.	NOUN
ejpam-3301	71	6	rehman	rehman	PROPN
ejpam-3301	71	7	/	/	SYM
ejpam-3301	71	8	eur	eur	PROPN
ejpam-3301	71	9	.	.	PUNCT
ejpam-3301	72	1	j.	j.	PROPN
ejpam-3301	72	2	pure	pure	PROPN
ejpam-3301	72	3	appl	appl	PROPN
ejpam-3301	72	4	.	.	PROPN
ejpam-3301	72	5	math	math	PROPN
ejpam-3301	72	6	,	,	PUNCT
ejpam-3301	72	7	11	11	NUM
ejpam-3301	72	8	(	(	PUNCT
ejpam-3301	72	9	3	3	NUM
ejpam-3301	72	10	)	)	PUNCT
ejpam-3301	72	11	(	(	PUNCT
ejpam-3301	72	12	2018	2018	NUM
ejpam-3301	72	13	)	)	PUNCT
ejpam-3301	72	14	,	,	PUNCT
ejpam-3301	72	15	844	844	NUM
ejpam-3301	72	16	-	-	SYM
ejpam-3301	72	17	868	868	NUM
ejpam-3301	72	18	847	847	NUM
ejpam-3301	72	19	lemma	lemma	PROPN
ejpam-3301	72	20	3.1	3.1	NUM
ejpam-3301	72	21	.	.	PUNCT
ejpam-3301	72	22	consider	consider	VERB
ejpam-3301	72	23	the	the	DET
ejpam-3301	72	24	matrix	matrix	NOUN
ejpam-3301	72	25	valued	value	VERB
ejpam-3301	72	26	function	function	NOUN
ejpam-3301	72	27	υ	υ	NOUN
ejpam-3301	72	28	:	:	PUNCT
ejpam-3301	72	29	r	r	NOUN
ejpam-3301	72	30	→	→	SYM
ejpam-3301	72	31	cn	cn	PROPN
ejpam-3301	72	32	,	,	PUNCT
ejpam-3301	72	33	n.	n.	PROPN
ejpam-3301	72	34	also	also	ADV
ejpam-3301	72	35	consider	consider	VERB
ejpam-3301	72	36	the	the	DET
ejpam-3301	72	37	fact	fact	NOUN
ejpam-3301	72	38	that	that	SCONJ
ejpam-3301	72	39	λ(t	λ(t	NOUN
ejpam-3301	72	40	)	)	PUNCT
ejpam-3301	72	41	is	be	AUX
ejpam-3301	72	42	an	an	DET
ejpam-3301	72	43	eigenvalue	eigenvalue	NOUN
ejpam-3301	72	44	of	of	ADP
ejpam-3301	72	45	matrix	matrix	NOUN
ejpam-3301	72	46	valued	value	VERB
ejpam-3301	72	47	function	function	NOUN
ejpam-3301	72	48	υ(t	υ(t	NOUN
ejpam-3301	72	49	)	)	PUNCT
ejpam-3301	72	50	which	which	PRON
ejpam-3301	72	51	approaches	approach	VERB
ejpam-3301	72	52	to	to	ADP
ejpam-3301	72	53	simple	simple	ADJ
ejpam-3301	72	54	eigenvalue	eigenvalue	NOUN
ejpam-3301	72	55	that	that	PRON
ejpam-3301	72	56	is	be	AUX
ejpam-3301	72	57	λ∗	λ∗	NOUN
ejpam-3301	72	58	of	of	ADP
ejpam-3301	72	59	υ0	υ0	NOUN
ejpam-3301	72	60	=	=	SYM
ejpam-3301	72	61	υ(0	υ(0	PROPN
ejpam-3301	72	62	)	)	PUNCT
ejpam-3301	72	63	as	as	ADP
ejpam-3301	72	64	t→	t→	X
ejpam-3301	72	65	0	0	X
ejpam-3301	72	66	.	.	PUNCT
ejpam-3301	73	1	then	then	ADV
ejpam-3301	73	2	λ(t	λ(t	NOUN
ejpam-3301	73	3	)	)	PUNCT
ejpam-3301	73	4	is	be	AUX
ejpam-3301	73	5	analytic	analytic	ADJ
ejpam-3301	73	6	near	near	ADP
ejpam-3301	73	7	t	t	PROPN
ejpam-3301	73	8	=	=	SYM
ejpam-3301	73	9	0	0	PROPN
ejpam-3301	74	1	with	with	ADP
ejpam-3301	74	2	dλ	dλ	NOUN
ejpam-3301	74	3	dt	dt	X
ejpam-3301	74	4	=	=	SYM
ejpam-3301	74	5	w∗	w∗	PROPN
ejpam-3301	74	6	0υ1v0	0υ1v0	NUM
ejpam-3301	74	7	w∗	w∗	NOUN
ejpam-3301	74	8	0v0	0v0	NOUN
ejpam-3301	74	9	,	,	PUNCT
ejpam-3301	74	10	where	where	SCONJ
ejpam-3301	74	11	υ1	υ1	PROPN
ejpam-3301	74	12	=	=	SYM
ejpam-3301	74	13	υ̇(0	υ̇(0	X
ejpam-3301	74	14	)	)	PUNCT
ejpam-3301	74	15	and	and	CCONJ
ejpam-3301	74	16	v0	v0	PROPN
ejpam-3301	74	17	,	,	PUNCT
ejpam-3301	74	18	w0	w0	PROPN
ejpam-3301	74	19	are	be	AUX
ejpam-3301	74	20	right	right	ADJ
ejpam-3301	74	21	and	and	CCONJ
ejpam-3301	74	22	left	leave	VERB
ejpam-3301	74	23	eigenvectors	eigenvector	NOUN
ejpam-3301	74	24	of	of	ADP
ejpam-3301	74	25	υ0	υ0	NOUN
ejpam-3301	74	26	associated	associate	VERB
ejpam-3301	74	27	to	to	ADP
ejpam-3301	74	28	λ∗.	λ∗.	PRON
ejpam-3301	74	29	as	as	ADP
ejpam-3301	74	30	now	now	ADV
ejpam-3301	74	31	our	our	PRON
ejpam-3301	74	32	goal	goal	NOUN
ejpam-3301	74	33	is	be	AUX
ejpam-3301	74	34	to	to	PART
ejpam-3301	74	35	deal	deal	VERB
ejpam-3301	74	36	with	with	ADP
ejpam-3301	74	37	the	the	DET
ejpam-3301	74	38	an	an	DET
ejpam-3301	74	39	optimization	optimization	NOUN
ejpam-3301	74	40	problem	problem	NOUN
ejpam-3301	74	41	as	as	SCONJ
ejpam-3301	74	42	mentioned	mention	VERB
ejpam-3301	74	43	in	in	ADP
ejpam-3301	74	44	equ	equ	PROPN
ejpam-3301	74	45	.	.	PUNCT
ejpam-3301	75	1	(	(	PUNCT
ejpam-3301	75	2	2.8	2.8	NUM
ejpam-3301	75	3	)	)	PUNCT
ejpam-3301	75	4	.	.	PUNCT
ejpam-3301	76	1	this	this	PRON
ejpam-3301	76	2	needs	need	VERB
ejpam-3301	76	3	the	the	DET
ejpam-3301	76	4	computation	computation	NOUN
ejpam-3301	76	5	of	of	ADP
ejpam-3301	76	6	an	an	DET
ejpam-3301	76	7	uncertainty	uncertainty	NOUN
ejpam-3301	76	8	℘local	℘local	ADJ
ejpam-3301	76	9	so	so	SCONJ
ejpam-3301	76	10	that	that	SCONJ
ejpam-3301	76	11	ρ(εa℘local	ρ(εa℘local	ADJ
ejpam-3301	76	12	)	)	PUNCT
ejpam-3301	76	13	achieves	achieve	VERB
ejpam-3301	76	14	maximum	maximum	ADJ
ejpam-3301	76	15	growth	growth	NOUN
ejpam-3301	76	16	along	along	ADP
ejpam-3301	76	17	the	the	DET
ejpam-3301	76	18	perturbation	perturbation	NOUN
ejpam-3301	76	19	℘	℘	NOUN
ejpam-3301	76	20	∈	∈	NOUN
ejpam-3301	76	21	θb′	θb′	VERB
ejpam-3301	76	22	with	with	ADP
ejpam-3301	76	23	‖℘‖2	‖℘‖2	NOUN
ejpam-3301	76	24	≤	≤	NOUN
ejpam-3301	76	25	1	1	NUM
ejpam-3301	76	26	.	.	PUNCT
ejpam-3301	77	1	in	in	ADP
ejpam-3301	77	2	below	below	ADV
ejpam-3301	77	3	we	we	PRON
ejpam-3301	77	4	consider	consider	VERB
ejpam-3301	77	5	that	that	PRON
ejpam-3301	77	6	λ	λ	NOUN
ejpam-3301	77	7	be	be	AUX
ejpam-3301	77	8	the	the	DET
ejpam-3301	77	9	greatest	great	ADJ
ejpam-3301	77	10	eigenvalue	eigenvalue	NOUN
ejpam-3301	77	11	when	when	SCONJ
ejpam-3301	77	12	|λ|	|λ|	PROPN
ejpam-3301	77	13	equals	equal	VERB
ejpam-3301	77	14	to	to	ADP
ejpam-3301	77	15	the	the	DET
ejpam-3301	77	16	spectral	spectral	ADJ
ejpam-3301	77	17	radius	radius	NOUN
ejpam-3301	77	18	.	.	PUNCT
ejpam-3301	78	1	definition	definition	NOUN
ejpam-3301	78	2	3.2	3.2	NUM
ejpam-3301	78	3	.	.	PUNCT
ejpam-3301	79	1	a	a	DET
ejpam-3301	79	2	matrix	matrix	NOUN
ejpam-3301	79	3	valued	value	VERB
ejpam-3301	79	4	function	function	NOUN
ejpam-3301	79	5	℘	℘	NOUN
ejpam-3301	79	6	∈	∈	PROPN
ejpam-3301	79	7	θb	θb	ADP
ejpam-3301	79	8	such	such	DET
ejpam-3301	79	9	that	that	PRON
ejpam-3301	79	10	‖℘‖2	‖℘‖2	NOUN
ejpam-3301	79	11	=	=	SYM
ejpam-3301	79	12	1	1	NUM
ejpam-3301	79	13	and	and	CCONJ
ejpam-3301	79	14	(	(	PUNCT
ejpam-3301	79	15	εa℘	εa℘	NOUN
ejpam-3301	79	16	)	)	PUNCT
ejpam-3301	79	17	possesses	possess	VERB
ejpam-3301	79	18	the	the	DET
ejpam-3301	79	19	maximum	maximum	PROPN
ejpam-3301	79	20	eigenvalue	eigenvalue	NOUN
ejpam-3301	79	21	which	which	PRON
ejpam-3301	79	22	increases	increase	VERB
ejpam-3301	79	23	the	the	DET
ejpam-3301	79	24	modulus	modulus	NOUN
ejpam-3301	79	25	for	for	ADP
ejpam-3301	79	26	structured	structured	ADJ
ejpam-3301	79	27	spectral	spectral	ADJ
ejpam-3301	79	28	vale	vale	NOUN
ejpam-3301	79	29	set	set	NOUN
ejpam-3301	79	30	λθb	λθb	PROPN
ejpam-3301	79	31	ε	ε	PROPN
ejpam-3301	79	32	(	(	PUNCT
ejpam-3301	79	33	a	a	PROPN
ejpam-3301	79	34	)	)	PUNCT
ejpam-3301	79	35	,	,	PUNCT
ejpam-3301	79	36	known	know	VERB
ejpam-3301	79	37	as	as	ADP
ejpam-3301	79	38	a	a	DET
ejpam-3301	79	39	local	local	ADJ
ejpam-3301	79	40	maximizer	maximizer	NOUN
ejpam-3301	79	41	.	.	PUNCT
ejpam-3301	80	1	in	in	ADP
ejpam-3301	80	2	theorem	theorem	ADJ
ejpam-3301	80	3	3.3	3.3	NUM
ejpam-3301	80	4	,	,	PUNCT
ejpam-3301	80	5	we	we	PRON
ejpam-3301	80	6	give	give	VERB
ejpam-3301	80	7	the	the	DET
ejpam-3301	80	8	characterization	characterization	NOUN
ejpam-3301	80	9	of	of	ADP
ejpam-3301	80	10	local	local	ADJ
ejpam-3301	80	11	maximizer	maximizer	NOUN
ejpam-3301	80	12	of	of	ADP
ejpam-3301	80	13	the	the	DET
ejpam-3301	80	14	gradient	gradient	NOUN
ejpam-3301	80	15	system	system	NOUN
ejpam-3301	80	16	of	of	ADP
ejpam-3301	80	17	ordinary	ordinary	ADJ
ejpam-3301	80	18	differential	differential	ADJ
ejpam-3301	80	19	equations	equation	NOUN
ejpam-3301	80	20	.	.	PUNCT
ejpam-3301	81	1	theorem	theorem	VERB
ejpam-3301	81	2	3.3	3.3	NUM
ejpam-3301	82	1	[	[	SYM
ejpam-3301	82	2	11	11	NUM
ejpam-3301	82	3	]	]	PUNCT
ejpam-3301	82	4	.	.	PUNCT
ejpam-3301	83	1	consider	consider	VERB
ejpam-3301	83	2	that	that	DET
ejpam-3301	83	3	℘local	℘local	ADJ
ejpam-3301	83	4	=	=	SYM
ejpam-3301	83	5	diag(α1i1	diag(α1i1	PROPN
ejpam-3301	83	6	,	,	PUNCT
ejpam-3301	83	7	...	...	PUNCT
ejpam-3301	83	8	,	,	PUNCT
ejpam-3301	83	9	αnin;℘1	αnin;℘1	PROPN
ejpam-3301	83	10	,	,	PUNCT
ejpam-3301	83	11	...	...	PUNCT
ejpam-3301	83	12	,	,	PUNCT
ejpam-3301	83	13	℘f	℘f	NOUN
ejpam-3301	83	14	)	)	PUNCT
ejpam-3301	83	15	.	.	PUNCT
ejpam-3301	84	1	here	here	ADV
ejpam-3301	84	2	,	,	PUNCT
ejpam-3301	84	3	℘local	℘local	ADJ
ejpam-3301	84	4	is	be	AUX
ejpam-3301	84	5	such	such	ADJ
ejpam-3301	84	6	that	that	SCONJ
ejpam-3301	84	7	‖℘local‖2	‖℘local‖2	NUM
ejpam-3301	84	8	=	=	NOUN
ejpam-3301	84	9	1	1	NUM
ejpam-3301	84	10	and	and	CCONJ
ejpam-3301	84	11	is	be	AUX
ejpam-3301	84	12	a	a	DET
ejpam-3301	84	13	local	local	ADJ
ejpam-3301	84	14	maximizer	maximizer	NOUN
ejpam-3301	84	15	for	for	ADP
ejpam-3301	84	16	λθb	λθb	PROPN
ejpam-3301	84	17	ε	ε	PROPN
ejpam-3301	84	18	(	(	PUNCT
ejpam-3301	84	19	a	a	NOUN
ejpam-3301	84	20	)	)	PUNCT
ejpam-3301	84	21	.	.	PUNCT
ejpam-3301	85	1	additionally	additionally	ADV
ejpam-3301	85	2	,	,	PUNCT
ejpam-3301	85	3	we	we	PRON
ejpam-3301	85	4	consider	consider	VERB
ejpam-3301	85	5	that	that	SCONJ
ejpam-3301	85	6	an	an	DET
ejpam-3301	85	7	operator	operator	NOUN
ejpam-3301	85	8	(	(	PUNCT
ejpam-3301	85	9	εa℘local	εa℘local	ADJ
ejpam-3301	85	10	)	)	PUNCT
ejpam-3301	85	11	having	have	VERB
ejpam-3301	85	12	a	a	DET
ejpam-3301	85	13	simple	simple	ADJ
ejpam-3301	85	14	maximum	maximum	ADJ
ejpam-3301	85	15	eigenvalue	eigenvalue	NOUN
ejpam-3301	85	16	which	which	PRON
ejpam-3301	85	17	is	be	AUX
ejpam-3301	85	18	λ	λ	X
ejpam-3301	85	19	=	=	SYM
ejpam-3301	85	20	|λ|eiθ	|λ|eiθ	PROPN
ejpam-3301	85	21	,	,	PUNCT
ejpam-3301	85	22	having	have	VERB
ejpam-3301	85	23	right	right	ADV
ejpam-3301	85	24	and	and	CCONJ
ejpam-3301	85	25	left	leave	VERB
ejpam-3301	85	26	eigenvectors	eigenvector	NOUN
ejpam-3301	85	27	v	v	ADP
ejpam-3301	85	28	and	and	CCONJ
ejpam-3301	85	29	w	w	PROPN
ejpam-3301	85	30	and	and	CCONJ
ejpam-3301	85	31	are	be	AUX
ejpam-3301	85	32	scaled	scale	VERB
ejpam-3301	85	33	so	so	SCONJ
ejpam-3301	85	34	that	that	SCONJ
ejpam-3301	85	35	s	s	VERB
ejpam-3301	85	36	=	=	PUNCT
ejpam-3301	85	37	eiθw∗v	eiθw∗v	NOUN
ejpam-3301	85	38	>	>	X
ejpam-3301	85	39	0	0	X
ejpam-3301	85	40	.	.	PUNCT
ejpam-3301	85	41	upon	upon	SCONJ
ejpam-3301	85	42	partitioning	partition	VERB
ejpam-3301	85	43	,	,	PUNCT
ejpam-3301	85	44	we	we	PRON
ejpam-3301	85	45	get	get	VERB
ejpam-3301	85	46	v	v	NOUN
ejpam-3301	85	47	=	=	PUNCT
ejpam-3301	85	48	(	(	PUNCT
ejpam-3301	85	49	vt	vt	PROPN
ejpam-3301	85	50	1	1	NUM
ejpam-3301	85	51	,	,	PUNCT
ejpam-3301	85	52	.	.	PUNCT
ejpam-3301	85	53	.	.	PUNCT
ejpam-3301	86	1	.	.	PUNCT
ejpam-3301	87	1	,	,	PUNCT
ejpam-3301	87	2	v	v	ADP
ejpam-3301	87	3	t	t	PROPN
ejpam-3301	87	4	n	n	PROPN
ejpam-3301	87	5	,	,	PUNCT
ejpam-3301	87	6	v	v	ADP
ejpam-3301	87	7	t	t	NOUN
ejpam-3301	87	8	n+1	n+1	PROPN
ejpam-3301	87	9	,	,	PUNCT
ejpam-3301	87	10	.	.	PUNCT
ejpam-3301	87	11	.	.	PUNCT
ejpam-3301	88	1	.	.	PUNCT
ejpam-3301	89	1	,	,	PUNCT
ejpam-3301	90	1	v	v	ADP
ejpam-3301	90	2	t	t	NOUN
ejpam-3301	90	3	n+f	n+f	PUNCT
ejpam-3301	90	4	)	)	PUNCT
ejpam-3301	90	5	t	t	PROPN
ejpam-3301	90	6	;	;	PUNCT
ejpam-3301	90	7	(	(	PUNCT
ejpam-3301	90	8	10	10	NUM
ejpam-3301	90	9	)	)	PUNCT
ejpam-3301	90	10	u	u	NOUN
ejpam-3301	90	11	=	=	PUNCT
ejpam-3301	90	12	(	(	PUNCT
ejpam-3301	90	13	ut	ut	PROPN
ejpam-3301	90	14	1	1	NUM
ejpam-3301	90	15	,	,	PUNCT
ejpam-3301	90	16	.	.	PUNCT
ejpam-3301	90	17	.	.	PUNCT
ejpam-3301	90	18	.	.	PUNCT
ejpam-3301	91	1	,	,	PUNCT
ejpam-3301	91	2	u	u	NOUN
ejpam-3301	91	3	t	t	NOUN
ejpam-3301	91	4	n	n	NOUN
ejpam-3301	91	5	,	,	PUNCT
ejpam-3301	91	6	u	u	X
ejpam-3301	91	7	t	t	PROPN
ejpam-3301	91	8	n+1	n+1	PROPN
ejpam-3301	91	9	,	,	PUNCT
ejpam-3301	91	10	.	.	PUNCT
ejpam-3301	91	11	.	.	PUNCT
ejpam-3301	92	1	.	.	PUNCT
ejpam-3301	93	1	,	,	PUNCT
ejpam-3301	93	2	u	u	NOUN
ejpam-3301	93	3	t	t	PROPN
ejpam-3301	93	4	n+f	n+f	PUNCT
ejpam-3301	93	5	)	)	PUNCT
ejpam-3301	94	1	t.	t.	NOUN
ejpam-3301	94	2	(	(	PUNCT
ejpam-3301	94	3	11	11	NUM
ejpam-3301	94	4	)	)	PUNCT
ejpam-3301	94	5	where	where	SCONJ
ejpam-3301	94	6	u	u	NOUN
ejpam-3301	94	7	=	=	NOUN
ejpam-3301	94	8	a∗w	a∗w	VERB
ejpam-3301	94	9	.	.	PUNCT
ejpam-3301	95	1	additionally	additionally	ADV
ejpam-3301	95	2	we	we	PRON
ejpam-3301	95	3	assume	assume	VERB
ejpam-3301	95	4	that	that	SCONJ
ejpam-3301	95	5	u∗kvk	u∗kvk	PROPN
ejpam-3301	95	6	6=	6=	ADP
ejpam-3301	95	7	0	0	NUM
ejpam-3301	95	8	∀	∀	NOUN
ejpam-3301	95	9	k	k	NOUN
ejpam-3301	96	1	=	=	SYM
ejpam-3301	96	2	1	1	NUM
ejpam-3301	96	3	,	,	PUNCT
ejpam-3301	96	4	.	.	PUNCT
ejpam-3301	96	5	.	.	PUNCT
ejpam-3301	97	1	.	.	PUNCT
ejpam-3301	98	1	,	,	PUNCT
ejpam-3301	98	2	n	n	CCONJ
ejpam-3301	98	3	,	,	PUNCT
ejpam-3301	98	4	(	(	PUNCT
ejpam-3301	98	5	12	12	NUM
ejpam-3301	98	6	)	)	PUNCT
ejpam-3301	98	7	‖un+h‖2	‖un+h‖2	VERB
ejpam-3301	98	8	·	·	PUNCT
ejpam-3301	99	1	‖vn+h‖2	‖vn+h‖2	PROPN
ejpam-3301	99	2	6=	6=	NUM
ejpam-3301	99	3	0	0	NUM
ejpam-3301	99	4	∀	∀	NOUN
ejpam-3301	99	5	h	h	NOUN
ejpam-3301	99	6	=	=	NOUN
ejpam-3301	99	7	1	1	NUM
ejpam-3301	99	8	,	,	PUNCT
ejpam-3301	99	9	.	.	PUNCT
ejpam-3301	99	10	.	.	PUNCT
ejpam-3301	99	11	.	.	PUNCT
ejpam-3301	100	1	,	,	PUNCT
ejpam-3301	100	2	f.	f.	PROPN
ejpam-3301	100	3	(	(	PUNCT
ejpam-3301	100	4	13	13	NUM
ejpam-3301	100	5	)	)	PUNCT
ejpam-3301	100	6	then	then	ADV
ejpam-3301	100	7	|sk|	|sk|	NOUN
ejpam-3301	100	8	=	=	SYM
ejpam-3301	100	9	1	1	NUM
ejpam-3301	100	10	∀	∀	NOUN
ejpam-3301	100	11	k	k	X
ejpam-3301	100	12	=	=	SYM
ejpam-3301	100	13	1	1	NUM
ejpam-3301	100	14	,	,	PUNCT
ejpam-3301	100	15	.	.	PUNCT
ejpam-3301	100	16	.	.	PUNCT
ejpam-3301	101	1	.	.	PUNCT
ejpam-3301	102	1	,	,	PUNCT
ejpam-3301	102	2	n	n	NOUN
ejpam-3301	102	3	and	and	CCONJ
ejpam-3301	102	4	‖∆h‖2	‖∆h‖2	NOUN
ejpam-3301	102	5	=	=	SYM
ejpam-3301	102	6	1	1	NUM
ejpam-3301	102	7	∀h	∀h	NOUN
ejpam-3301	102	8	=	=	SYM
ejpam-3301	102	9	1	1	NUM
ejpam-3301	102	10	,	,	PUNCT
ejpam-3301	102	11	.	.	PUNCT
ejpam-3301	102	12	.	.	PUNCT
ejpam-3301	103	1	.	.	PUNCT
ejpam-3301	104	1	,	,	PUNCT
ejpam-3301	105	1	f	f	X
ejpam-3301	105	2	,	,	PUNCT
ejpam-3301	105	3	4	4	NUM
ejpam-3301	105	4	.	.	PUNCT
ejpam-3301	106	1	a	a	DET
ejpam-3301	106	2	system	system	NOUN
ejpam-3301	106	3	of	of	ADP
ejpam-3301	106	4	odes	ode	NOUN
ejpam-3301	106	5	to	to	PART
ejpam-3301	106	6	compute	compute	VERB
ejpam-3301	106	7	extremal	extremal	ADJ
ejpam-3301	106	8	points	point	NOUN
ejpam-3301	106	9	of	of	ADP
ejpam-3301	106	10	λ℘b	λ℘b	PROPN
ejpam-3301	106	11	ε	ε	PROPN
ejpam-3301	106	12	(	(	PUNCT
ejpam-3301	106	13	a	a	NOUN
ejpam-3301	106	14	)	)	PUNCT
ejpam-3301	106	15	.	.	PUNCT
ejpam-3301	107	1	in	in	ADP
ejpam-3301	107	2	order	order	NOUN
ejpam-3301	107	3	to	to	PART
ejpam-3301	107	4	compute	compute	VERB
ejpam-3301	107	5	the	the	DET
ejpam-3301	107	6	local	local	ADJ
ejpam-3301	107	7	extremizer	extremizer	NOUN
ejpam-3301	107	8	to	to	ADP
ejpam-3301	107	9	|λ|	|λ|	NOUN
ejpam-3301	107	10	such	such	ADJ
ejpam-3301	107	11	that	that	SCONJ
ejpam-3301	107	12	|λ|	|λ|	PROPN
ejpam-3301	107	13	∈	∈	PROPN
ejpam-3301	107	14	λθb	λθb	X
ejpam-3301	107	15	ε	ε	PROPN
ejpam-3301	107	16	(	(	PUNCT
ejpam-3301	107	17	a	a	NOUN
ejpam-3301	107	18	)	)	PUNCT
ejpam-3301	107	19	.	.	PUNCT
ejpam-3301	108	1	to	to	PART
ejpam-3301	108	2	do	do	VERB
ejpam-3301	108	3	so	so	ADV
ejpam-3301	108	4	first	first	ADV
ejpam-3301	108	5	we	we	PRON
ejpam-3301	108	6	compute	compute	VERB
ejpam-3301	108	7	matrix	matrix	NOUN
ejpam-3301	108	8	valued	value	VERB
ejpam-3301	108	9	function	function	NOUN
ejpam-3301	108	10	℘(t	℘(t	NOUN
ejpam-3301	108	11	)	)	PUNCT
ejpam-3301	108	12	so	so	SCONJ
ejpam-3301	108	13	that	that	SCONJ
ejpam-3301	108	14	the	the	DET
ejpam-3301	108	15	maximum	maximum	PROPN
ejpam-3301	108	16	eigenvalue	eigenvalue	NOUN
ejpam-3301	108	17	that	that	PRON
ejpam-3301	108	18	is	be	AUX
ejpam-3301	108	19	λ(t	λ(t	NOUN
ejpam-3301	108	20	)	)	PUNCT
ejpam-3301	108	21	of	of	ADP
ejpam-3301	108	22	an	an	DET
ejpam-3301	108	23	operator	operator	NOUN
ejpam-3301	108	24	(	(	PUNCT
ejpam-3301	108	25	εa℘(t	εa℘(t	NOUN
ejpam-3301	108	26	)	)	PUNCT
ejpam-3301	108	27	)	)	PUNCT
ejpam-3301	108	28	attains	attain	VERB
ejpam-3301	108	29	the	the	DET
ejpam-3301	108	30	maximum	maximum	ADJ
ejpam-3301	108	31	value	value	NOUN
ejpam-3301	108	32	.	.	PUNCT
ejpam-3301	109	1	we	we	PRON
ejpam-3301	109	2	then	then	ADV
ejpam-3301	109	3	construct	construct	VERB
ejpam-3301	109	4	and	and	CCONJ
ejpam-3301	109	5	give	give	VERB
ejpam-3301	109	6	an	an	DET
ejpam-3301	109	7	optimal	optimal	ADJ
ejpam-3301	109	8	solution	solution	NOUN
ejpam-3301	109	9	to	to	ADP
ejpam-3301	109	10	a	a	DET
ejpam-3301	109	11	gradient	gradient	ADJ
ejpam-3301	109	12	system	system	NOUN
ejpam-3301	109	13	of	of	ADP
ejpam-3301	109	14	ordinary	ordinary	ADJ
ejpam-3301	109	15	differential	differential	ADJ
ejpam-3301	109	16	equation	equation	NOUN
ejpam-3301	109	17	’s	’s	NOUN
ejpam-3301	109	18	.	.	PUNCT
ejpam-3301	110	1	this	this	DET
ejpam-3301	110	2	system	system	NOUN
ejpam-3301	110	3	of	of	ADP
ejpam-3301	110	4	ordinary	ordinary	ADJ
ejpam-3301	110	5	differential	differential	ADJ
ejpam-3301	110	6	equations	equation	NOUN
ejpam-3301	110	7	satisfies	satisfy	VERB
ejpam-3301	110	8	the	the	DET
ejpam-3301	110	9	choice	choice	NOUN
ejpam-3301	110	10	of	of	ADP
ejpam-3301	110	11	℘(t	℘(t	NOUN
ejpam-3301	110	12	)	)	PUNCT
ejpam-3301	110	13	.	.	PUNCT
ejpam-3301	111	1	m.	m.	PROPN
ejpam-3301	111	2	f.	f.	PROPN
ejpam-3301	111	3	anwar	anwar	PROPN
ejpam-3301	111	4	,	,	PUNCT
ejpam-3301	111	5	m.	m.	NOUN
ejpam-3301	111	6	rehman	rehman	PROPN
ejpam-3301	111	7	/	/	SYM
ejpam-3301	111	8	eur	eur	PROPN
ejpam-3301	111	9	.	.	PUNCT
ejpam-3301	112	1	j.	j.	PROPN
ejpam-3301	112	2	pure	pure	PROPN
ejpam-3301	112	3	appl	appl	PROPN
ejpam-3301	112	4	.	.	PROPN
ejpam-3301	112	5	math	math	PROPN
ejpam-3301	112	6	,	,	PUNCT
ejpam-3301	112	7	11	11	NUM
ejpam-3301	112	8	(	(	PUNCT
ejpam-3301	112	9	3	3	NUM
ejpam-3301	112	10	)	)	PUNCT
ejpam-3301	112	11	(	(	PUNCT
ejpam-3301	112	12	2018	2018	NUM
ejpam-3301	112	13	)	)	PUNCT
ejpam-3301	112	14	,	,	PUNCT
ejpam-3301	112	15	844	844	NUM
ejpam-3301	112	16	-	-	SYM
ejpam-3301	112	17	868	868	NUM
ejpam-3301	112	18	848	848	NUM
ejpam-3301	112	19	4.1	4.1	NUM
ejpam-3301	112	20	.	.	PUNCT
ejpam-3301	113	1	local	local	ADJ
ejpam-3301	113	2	optimization	optimization	NOUN
ejpam-3301	113	3	problem	problem	NOUN
ejpam-3301	113	4	let	let	VERB
ejpam-3301	113	5	λ	λ	PROPN
ejpam-3301	113	6	=	=	SYM
ejpam-3301	113	7	|λ1|eiθ	|λ1|eiθ	PROPN
ejpam-3301	113	8	is	be	AUX
ejpam-3301	113	9	the	the	DET
ejpam-3301	113	10	a	a	DET
ejpam-3301	113	11	simple	simple	ADJ
ejpam-3301	113	12	eigenvalue	eigenvalue	NOUN
ejpam-3301	113	13	of	of	ADP
ejpam-3301	113	14	(	(	PUNCT
ejpam-3301	113	15	εa℘(t	εa℘(t	NOUN
ejpam-3301	113	16	)	)	PUNCT
ejpam-3301	113	17	)	)	PUNCT
ejpam-3301	113	18	.	.	PUNCT
ejpam-3301	114	1	further	far	ADV
ejpam-3301	114	2	consider	consider	VERB
ejpam-3301	114	3	that	that	SCONJ
ejpam-3301	114	4	the	the	DET
ejpam-3301	114	5	corresponding	correspond	VERB
ejpam-3301	114	6	eigenvectors	eigenvector	NOUN
ejpam-3301	114	7	v	v	ADP
ejpam-3301	114	8	,	,	PUNCT
ejpam-3301	114	9	w	w	PROPN
ejpam-3301	114	10	are	be	AUX
ejpam-3301	114	11	normalized	normalize	VERB
ejpam-3301	114	12	as	as	ADP
ejpam-3301	114	13	‖w‖	‖w‖	PROPN
ejpam-3301	114	14	=	=	SYM
ejpam-3301	114	15	‖v‖	‖v‖	PROPN
ejpam-3301	114	16	=	=	SYM
ejpam-3301	114	17	1	1	NUM
ejpam-3301	114	18	,	,	PUNCT
ejpam-3301	114	19	w∗v	w∗v	NOUN
ejpam-3301	114	20	=	=	SYM
ejpam-3301	114	21	|w∗v|e−iθ	|w∗v|e−iθ	NOUN
ejpam-3301	114	22	.	.	PUNCT
ejpam-3301	115	1	(	(	PUNCT
ejpam-3301	115	2	14	14	NUM
ejpam-3301	115	3	)	)	PUNCT
ejpam-3301	115	4	by	by	ADP
ejpam-3301	115	5	the	the	DET
ejpam-3301	115	6	help	help	NOUN
ejpam-3301	115	7	of	of	ADP
ejpam-3301	115	8	lemma	lemma	PROPN
ejpam-3301	115	9	3.1	3.1	NUM
ejpam-3301	115	10	,	,	PUNCT
ejpam-3301	115	11	we	we	PRON
ejpam-3301	115	12	get	get	VERB
ejpam-3301	115	13	d	d	NOUN
ejpam-3301	115	14	dt	dt	X
ejpam-3301	115	15	|λ1|2	|λ1|2	PUNCT
ejpam-3301	115	16	=	=	SYM
ejpam-3301	115	17	2|λ1|re	2|λ1|re	NUM
ejpam-3301	115	18	(	(	PUNCT
ejpam-3301	115	19	u∗℘̇v	u∗℘̇v	NOUN
ejpam-3301	115	20	eiθw∗v	eiθw∗v	ADV
ejpam-3301	115	21	)	)	PUNCT
ejpam-3301	116	1	=	=	SYM
ejpam-3301	116	2	2|λ1|	2|λ1|	NUM
ejpam-3301	116	3	|w∗v|	|w∗v|	PROPN
ejpam-3301	116	4	re(u∗℘̇v	re(u∗℘̇v	NOUN
ejpam-3301	116	5	)	)	PUNCT
ejpam-3301	116	6	,	,	PUNCT
ejpam-3301	116	7	(	(	PUNCT
ejpam-3301	116	8	15	15	NUM
ejpam-3301	116	9	)	)	PUNCT
ejpam-3301	116	10	where	where	SCONJ
ejpam-3301	116	11	u	u	NOUN
ejpam-3301	116	12	=	=	NOUN
ejpam-3301	116	13	a∗w	a∗w	PROPN
ejpam-3301	116	14	.	.	PUNCT
ejpam-3301	116	15	suppose	suppose	VERB
ejpam-3301	116	16	that	that	SCONJ
ejpam-3301	116	17	℘	℘	PROPN
ejpam-3301	116	18	∈	∈	PROPN
ejpam-3301	116	19	θb	θb	NOUN
ejpam-3301	116	20	and	and	CCONJ
ejpam-3301	116	21	we	we	PRON
ejpam-3301	116	22	search	search	VERB
ejpam-3301	116	23	the	the	DET
ejpam-3301	116	24	direction	direction	NOUN
ejpam-3301	116	25	℘̇	℘̇	NOUN
ejpam-3301	116	26	=	=	SYM
ejpam-3301	116	27	τ	τ	PROPN
ejpam-3301	116	28	that	that	SCONJ
ejpam-3301	116	29	given	give	VERB
ejpam-3301	116	30	maximum	maximum	ADJ
ejpam-3301	116	31	local	local	ADJ
ejpam-3301	116	32	growth	growth	NOUN
ejpam-3301	116	33	of	of	ADP
ejpam-3301	116	34	the	the	DET
ejpam-3301	116	35	modulus	modulus	NOUN
ejpam-3301	116	36	of	of	ADP
ejpam-3301	116	37	λ1	λ1	PROPN
ejpam-3301	116	38	.	.	PUNCT
ejpam-3301	117	1	this	this	PRON
ejpam-3301	117	2	gives	give	VERB
ejpam-3301	117	3	us	we	PRON
ejpam-3301	117	4	τ	τ	X
ejpam-3301	117	5	=	=	SYM
ejpam-3301	117	6	diag(ω1ir1	diag(ω1ir1	PROPN
ejpam-3301	117	7	,	,	PUNCT
ejpam-3301	117	8	.	.	PUNCT
ejpam-3301	117	9	.	.	PUNCT
ejpam-3301	118	1	.	.	PUNCT
ejpam-3301	119	1	,	,	PUNCT
ejpam-3301	119	2	ωsirn	ωsirn	NOUN
ejpam-3301	119	3	,	,	PUNCT
ejpam-3301	119	4	ω1	ω1	PROPN
ejpam-3301	119	5	,	,	PUNCT
ejpam-3301	119	6	.	.	PUNCT
ejpam-3301	119	7	.	.	PUNCT
ejpam-3301	120	1	.	.	PUNCT
ejpam-3301	121	1	,	,	PUNCT
ejpam-3301	121	2	ωf	ωf	PROPN
ejpam-3301	121	3	)	)	PUNCT
ejpam-3301	121	4	.	.	PUNCT
ejpam-3301	122	1	(	(	PUNCT
ejpam-3301	122	2	16	16	NUM
ejpam-3301	122	3	)	)	PUNCT
ejpam-3301	122	4	this	this	PRON
ejpam-3301	122	5	acts	act	VERB
ejpam-3301	122	6	as	as	ADP
ejpam-3301	122	7	a	a	DET
ejpam-3301	122	8	solution	solution	NOUN
ejpam-3301	122	9	to	to	ADP
ejpam-3301	122	10	the	the	DET
ejpam-3301	122	11	maximization	maximization	NOUN
ejpam-3301	122	12	problem	problem	NOUN
ejpam-3301	122	13	τ∗	τ∗	X
ejpam-3301	122	14	=	=	X
ejpam-3301	122	15	arg	arg	NOUN
ejpam-3301	122	16	max{re(u∗τx	max{re(u∗τx	NOUN
ejpam-3301	122	17	)	)	PUNCT
ejpam-3301	122	18	}	}	PUNCT
ejpam-3301	122	19	subject	subject	ADJ
ejpam-3301	122	20	to	to	ADP
ejpam-3301	122	21	re(δiωi	re(δiωi	NOUN
ejpam-3301	122	22	)	)	PUNCT
ejpam-3301	122	23	=	=	SYM
ejpam-3301	123	1	0	0	NUM
ejpam-3301	123	2	,	,	PUNCT
ejpam-3301	123	3	i	i	PRON
ejpam-3301	123	4	=	=	NOUN
ejpam-3301	123	5	1	1	NUM
ejpam-3301	123	6	:	:	PUNCT
ejpam-3301	123	7	n	n	CCONJ
ejpam-3301	123	8	,	,	PUNCT
ejpam-3301	123	9	and	and	CCONJ
ejpam-3301	123	10	re〈℘j	re〈℘j	ADJ
ejpam-3301	123	11	,	,	PUNCT
ejpam-3301	123	12	ωj	ωj	ADP
ejpam-3301	123	13	〉	〉	NOUN
ejpam-3301	123	14	=	=	SYM
ejpam-3301	123	15	0	0	NUM
ejpam-3301	123	16	,	,	PUNCT
ejpam-3301	123	17	j	j	X
ejpam-3301	123	18	=	=	NOUN
ejpam-3301	123	19	1	1	NUM
ejpam-3301	123	20	:	:	PUNCT
ejpam-3301	123	21	f.	f.	PROPN
ejpam-3301	123	22	(	(	PUNCT
ejpam-3301	123	23	17	17	NUM
ejpam-3301	123	24	)	)	PUNCT
ejpam-3301	123	25	in	in	ADP
ejpam-3301	123	26	lemma	lemma	PROPN
ejpam-3301	123	27	4.1	4.1	NUM
ejpam-3301	123	28	,	,	PUNCT
ejpam-3301	123	29	we	we	PRON
ejpam-3301	123	30	give	give	VERB
ejpam-3301	123	31	the	the	DET
ejpam-3301	123	32	solution	solution	NOUN
ejpam-3301	123	33	τ∗	τ∗	NOUN
ejpam-3301	123	34	to	to	ADP
ejpam-3301	123	35	the	the	DET
ejpam-3301	123	36	maximization	maximization	NOUN
ejpam-3301	123	37	problem	problem	NOUN
ejpam-3301	123	38	as	as	SCONJ
ejpam-3301	123	39	discussed	discuss	VERB
ejpam-3301	123	40	in	in	ADP
ejpam-3301	123	41	the	the	DET
ejpam-3301	123	42	equ	equ	PROPN
ejpam-3301	123	43	.	.	PUNCT
ejpam-3301	124	1	(	(	PUNCT
ejpam-3301	124	2	3.4	3.4	NUM
ejpam-3301	124	3	)	)	PUNCT
ejpam-3301	124	4	.	.	PUNCT
ejpam-3301	125	1	lemma	lemma	PROPN
ejpam-3301	125	2	4.1	4.1	NUM
ejpam-3301	126	1	[	[	X
ejpam-3301	126	2	11	11	NUM
ejpam-3301	126	3	]	]	PUNCT
ejpam-3301	126	4	.	.	PUNCT
ejpam-3301	127	1	the	the	DET
ejpam-3301	127	2	solution	solution	NOUN
ejpam-3301	127	3	τ∗	τ∗	NOUN
ejpam-3301	127	4	with	with	ADP
ejpam-3301	127	5	τ∗	τ∗	NOUN
ejpam-3301	127	6	=	=	SYM
ejpam-3301	127	7	diag(ω1ir1	diag(ω1ir1	PROPN
ejpam-3301	127	8	,	,	PUNCT
ejpam-3301	127	9	.	.	PUNCT
ejpam-3301	127	10	.	.	PUNCT
ejpam-3301	127	11	.	.	PUNCT
ejpam-3301	128	1	,	,	PUNCT
ejpam-3301	128	2	ωnirn	ωnirn	NOUN
ejpam-3301	128	3	,	,	PUNCT
ejpam-3301	128	4	ω1	ω1	PROPN
ejpam-3301	128	5	,	,	PUNCT
ejpam-3301	128	6	.	.	PUNCT
ejpam-3301	128	7	.	.	PUNCT
ejpam-3301	129	1	.	.	PUNCT
ejpam-3301	130	1	,	,	PUNCT
ejpam-3301	130	2	ωf	ωf	PROPN
ejpam-3301	130	3	)	)	PUNCT
ejpam-3301	130	4	,	,	PUNCT
ejpam-3301	130	5	(	(	PUNCT
ejpam-3301	130	6	18	18	NUM
ejpam-3301	130	7	)	)	PUNCT
ejpam-3301	130	8	with	with	ADP
ejpam-3301	130	9	ωi	ωi	PROPN
ejpam-3301	130	10	=	=	SYM
ejpam-3301	130	11	νi	νi	PRON
ejpam-3301	130	12	(	(	PUNCT
ejpam-3301	130	13	v∗i	v∗i	X
ejpam-3301	130	14	ui	ui	PROPN
ejpam-3301	130	15	−re	−re	PROPN
ejpam-3301	130	16	(	(	PUNCT
ejpam-3301	130	17	v∗i	v∗i	X
ejpam-3301	130	18	uisi	uisi	ADJ
ejpam-3301	130	19	)	)	PUNCT
ejpam-3301	130	20	si	si	NOUN
ejpam-3301	130	21	)	)	PUNCT
ejpam-3301	130	22	,	,	PUNCT
ejpam-3301	130	23	i	i	PRON
ejpam-3301	130	24	=	=	NOUN
ejpam-3301	130	25	1	1	NUM
ejpam-3301	130	26	,	,	PUNCT
ejpam-3301	130	27	.	.	PUNCT
ejpam-3301	130	28	.	.	PUNCT
ejpam-3301	131	1	.	.	PUNCT
ejpam-3301	132	1	,	,	PUNCT
ejpam-3301	132	2	n	n	X
ejpam-3301	132	3	(	(	PUNCT
ejpam-3301	132	4	19	19	NUM
ejpam-3301	132	5	)	)	PUNCT
ejpam-3301	132	6	ωj	ωj	ADP
ejpam-3301	132	7	=	=	VERB
ejpam-3301	132	8	ζj	ζj	PROPN
ejpam-3301	132	9	(	(	PUNCT
ejpam-3301	132	10	un+jv	un+jv	ADP
ejpam-3301	132	11	∗	∗	NOUN
ejpam-3301	132	12	n+j	n+j	PROPN
ejpam-3301	132	13	−re〈℘j	−re〈℘j	VERB
ejpam-3301	132	14	,	,	PUNCT
ejpam-3301	132	15	un+jv	un+jv	ADP
ejpam-3301	132	16	∗	∗	NOUN
ejpam-3301	132	17	n+j〉℘j	n+j〉℘j	NOUN
ejpam-3301	132	18	)	)	PUNCT
ejpam-3301	132	19	,	,	PUNCT
ejpam-3301	132	20	j	j	PROPN
ejpam-3301	132	21	=	=	SYM
ejpam-3301	132	22	1	1	NUM
ejpam-3301	132	23	,	,	PUNCT
ejpam-3301	132	24	.	.	PUNCT
ejpam-3301	132	25	.	.	PUNCT
ejpam-3301	132	26	.	.	PUNCT
ejpam-3301	133	1	,	,	PUNCT
ejpam-3301	133	2	f.	f.	PROPN
ejpam-3301	133	3	(	(	PUNCT
ejpam-3301	133	4	20	20	NUM
ejpam-3301	133	5	)	)	PUNCT
ejpam-3301	133	6	the	the	DET
ejpam-3301	133	7	coefficient	coefficient	NOUN
ejpam-3301	133	8	νi	νi	ADP
ejpam-3301	133	9	>	>	X
ejpam-3301	133	10	0	0	NUM
ejpam-3301	133	11	is	be	AUX
ejpam-3301	133	12	the	the	DET
ejpam-3301	133	13	reciprocal	reciprocal	NOUN
ejpam-3301	133	14	of	of	ADP
ejpam-3301	133	15	the	the	DET
ejpam-3301	133	16	absolute	absolute	ADJ
ejpam-3301	133	17	value	value	NOUN
ejpam-3301	133	18	of	of	ADP
ejpam-3301	133	19	the	the	DET
ejpam-3301	133	20	expression	expression	NOUN
ejpam-3301	133	21	that	that	PRON
ejpam-3301	133	22	appears	appear	VERB
ejpam-3301	133	23	in	in	ADP
ejpam-3301	133	24	the	the	DET
ejpam-3301	133	25	right	right	ADJ
ejpam-3301	133	26	-	-	PUNCT
ejpam-3301	133	27	hand	hand	NOUN
ejpam-3301	133	28	side	side	NOUN
ejpam-3301	133	29	in	in	ADP
ejpam-3301	133	30	equ	equ	PROPN
ejpam-3301	133	31	.	.	PUNCT
ejpam-3301	134	1	(	(	PUNCT
ejpam-3301	134	2	4.6	4.6	NUM
ejpam-3301	134	3	)	)	PUNCT
ejpam-3301	134	4	when	when	SCONJ
ejpam-3301	134	5	it	it	PRON
ejpam-3301	134	6	’s	’	VERB
ejpam-3301	134	7	different	different	ADJ
ejpam-3301	134	8	from	from	ADP
ejpam-3301	134	9	zero	zero	NUM
ejpam-3301	134	10	and	and	CCONJ
ejpam-3301	134	11	the	the	DET
ejpam-3301	134	12	coefficient	coefficient	NOUN
ejpam-3301	134	13	νi	νi	PRON
ejpam-3301	134	14	=	=	NOUN
ejpam-3301	134	15	1	1	NUM
ejpam-3301	134	16	else	else	ADV
ejpam-3301	134	17	.	.	PUNCT
ejpam-3301	135	1	while	while	SCONJ
ejpam-3301	135	2	on	on	ADP
ejpam-3301	135	3	the	the	DET
ejpam-3301	135	4	other	other	ADJ
ejpam-3301	135	5	hand	hand	NOUN
ejpam-3301	135	6	the	the	DET
ejpam-3301	135	7	coefficient	coefficient	NOUN
ejpam-3301	135	8	ζj	ζj	ADP
ejpam-3301	135	9	>	>	X
ejpam-3301	135	10	0	0	NUM
ejpam-3301	135	11	is	be	AUX
ejpam-3301	135	12	the	the	DET
ejpam-3301	135	13	reciprocal	reciprocal	NOUN
ejpam-3301	135	14	of	of	ADP
ejpam-3301	135	15	the	the	DET
ejpam-3301	135	16	frobenius	frobenius	ADJ
ejpam-3301	135	17	norm	norm	NOUN
ejpam-3301	135	18	of	of	ADP
ejpam-3301	135	19	an	an	DET
ejpam-3301	135	20	operator	operator	NOUN
ejpam-3301	135	21	that	that	PRON
ejpam-3301	135	22	appear	appear	VERB
ejpam-3301	135	23	in	in	ADP
ejpam-3301	135	24	the	the	DET
ejpam-3301	135	25	right	right	ADJ
ejpam-3301	135	26	hand	hand	NOUN
ejpam-3301	135	27	side	side	NOUN
ejpam-3301	135	28	of	of	ADP
ejpam-3301	135	29	equ	equ	PROPN
ejpam-3301	135	30	.	.	PUNCT
ejpam-3301	136	1	(	(	PUNCT
ejpam-3301	136	2	4.7	4.7	NUM
ejpam-3301	136	3	)	)	PUNCT
ejpam-3301	136	4	if	if	SCONJ
ejpam-3301	136	5	it	it	PRON
ejpam-3301	136	6	’s	’	VERB
ejpam-3301	136	7	different	different	ADJ
ejpam-3301	136	8	from	from	ADP
ejpam-3301	136	9	zero	zero	NUM
ejpam-3301	136	10	and	and	CCONJ
ejpam-3301	136	11	the	the	DET
ejpam-3301	136	12	coefficient	coefficient	NOUN
ejpam-3301	136	13	ζj	ζj	X
ejpam-3301	136	14	=	=	NOUN
ejpam-3301	136	15	1	1	NUM
ejpam-3301	136	16	else	else	ADV
ejpam-3301	136	17	.	.	PUNCT
ejpam-3301	137	1	now	now	ADV
ejpam-3301	137	2	we	we	PRON
ejpam-3301	137	3	express	express	VERB
ejpam-3301	137	4	the	the	DET
ejpam-3301	137	5	result	result	NOUN
ejpam-3301	137	6	as	as	SCONJ
ejpam-3301	137	7	obtained	obtain	VERB
ejpam-3301	137	8	in	in	ADP
ejpam-3301	137	9	the	the	DET
ejpam-3301	137	10	previous	previous	ADJ
ejpam-3301	137	11	lemma	lemma	PROPN
ejpam-3301	137	12	3.1	3.1	NUM
ejpam-3301	137	13	as	as	ADP
ejpam-3301	137	14	:	:	PUNCT
ejpam-3301	137	15	τ∗	τ∗	X
ejpam-3301	137	16	=	=	SYM
ejpam-3301	137	17	s1pθb	s1pθb	X
ejpam-3301	137	18	(	(	PUNCT
ejpam-3301	137	19	u(t)v(t)∗)−	u(t)v(t)∗)−	PROPN
ejpam-3301	137	20	s2℘.	s2℘.	NOUN
ejpam-3301	137	21	(	(	PUNCT
ejpam-3301	137	22	21	21	NUM
ejpam-3301	137	23	)	)	PUNCT
ejpam-3301	137	24	in	in	ADP
ejpam-3301	137	25	above	above	ADP
ejpam-3301	137	26	equ	equ	PROPN
ejpam-3301	137	27	.	.	PUNCT
ejpam-3301	138	1	(	(	PUNCT
ejpam-3301	138	2	4.8	4.8	NUM
ejpam-3301	138	3	)	)	PUNCT
ejpam-3301	138	4	,	,	PUNCT
ejpam-3301	138	5	pθb	pθb	PROPN
ejpam-3301	138	6	(	(	PUNCT
ejpam-3301	138	7	·	·	PUNCT
ejpam-3301	138	8	)	)	PUNCT
ejpam-3301	138	9	is	be	AUX
ejpam-3301	138	10	the	the	DET
ejpam-3301	138	11	orthogonal	orthogonal	ADJ
ejpam-3301	138	12	projection	projection	NOUN
ejpam-3301	138	13	while	while	SCONJ
ejpam-3301	138	14	s1	s1	NOUN
ejpam-3301	138	15	,	,	PUNCT
ejpam-3301	138	16	s2	s2	PROPN
ejpam-3301	138	17	∈	∈	PROPN
ejpam-3301	138	18	θb	θb	NOUN
ejpam-3301	138	19	are	be	AUX
ejpam-3301	138	20	diagonal	diagonal	ADJ
ejpam-3301	138	21	operators	operator	NOUN
ejpam-3301	138	22	.	.	PUNCT
ejpam-3301	139	1	m.	m.	PROPN
ejpam-3301	139	2	f.	f.	PROPN
ejpam-3301	139	3	anwar	anwar	PROPN
ejpam-3301	139	4	,	,	PUNCT
ejpam-3301	139	5	m.	m.	NOUN
ejpam-3301	139	6	rehman	rehman	PROPN
ejpam-3301	139	7	/	/	SYM
ejpam-3301	139	8	eur	eur	PROPN
ejpam-3301	139	9	.	.	PUNCT
ejpam-3301	140	1	j.	j.	PROPN
ejpam-3301	140	2	pure	pure	PROPN
ejpam-3301	140	3	appl	appl	PROPN
ejpam-3301	140	4	.	.	PROPN
ejpam-3301	140	5	math	math	PROPN
ejpam-3301	140	6	,	,	PUNCT
ejpam-3301	140	7	11	11	NUM
ejpam-3301	140	8	(	(	PUNCT
ejpam-3301	140	9	3	3	NUM
ejpam-3301	140	10	)	)	PUNCT
ejpam-3301	140	11	(	(	PUNCT
ejpam-3301	140	12	2018	2018	NUM
ejpam-3301	140	13	)	)	PUNCT
ejpam-3301	140	14	,	,	PUNCT
ejpam-3301	140	15	844	844	NUM
ejpam-3301	140	16	-	-	SYM
ejpam-3301	140	17	868	868	NUM
ejpam-3301	140	18	849	849	NUM
ejpam-3301	140	19	4.2	4.2	NUM
ejpam-3301	140	20	.	.	PUNCT
ejpam-3301	141	1	gradient	gradient	ADJ
ejpam-3301	141	2	system	system	NOUN
ejpam-3301	141	3	of	of	ADP
ejpam-3301	141	4	ordinary	ordinary	ADJ
ejpam-3301	141	5	differential	differential	ADJ
ejpam-3301	141	6	equations	equation	NOUN
ejpam-3301	141	7	the	the	DET
ejpam-3301	141	8	result	result	NOUN
ejpam-3301	141	9	in	in	ADP
ejpam-3301	141	10	the	the	DET
ejpam-3301	141	11	previous	previous	ADJ
ejpam-3301	141	12	lemma	lemma	PROPN
ejpam-3301	141	13	4.1	4.1	NUM
ejpam-3301	141	14	allows	allow	VERB
ejpam-3301	141	15	us	we	PRON
ejpam-3301	141	16	to	to	PART
ejpam-3301	141	17	have	have	VERB
ejpam-3301	141	18	the	the	DET
ejpam-3301	141	19	following	follow	VERB
ejpam-3301	141	20	differential	differential	ADJ
ejpam-3301	141	21	equation	equation	NOUN
ejpam-3301	141	22	on	on	ADP
ejpam-3301	141	23	the	the	DET
ejpam-3301	141	24	manifold	manifold	ADJ
ejpam-3301	141	25	θb	θb	PROPN
ejpam-3301	141	26	:	:	PUNCT
ejpam-3301	141	27	℘̇(t	℘̇(t	X
ejpam-3301	141	28	)	)	PUNCT
ejpam-3301	141	29	=	=	PUNCT
ejpam-3301	141	30	s1pθb(u(t)v(t)∗)−	s1pθb(u(t)v(t)∗)−	ADV
ejpam-3301	141	31	s2℘(t	s2℘(t	NOUN
ejpam-3301	141	32	)	)	PUNCT
ejpam-3301	141	33	.	.	PUNCT
ejpam-3301	142	1	(	(	PUNCT
ejpam-3301	142	2	22	22	NUM
ejpam-3301	142	3	)	)	PUNCT
ejpam-3301	142	4	here	here	ADV
ejpam-3301	142	5	,	,	PUNCT
ejpam-3301	142	6	v(t	v(t	NOUN
ejpam-3301	142	7	)	)	PUNCT
ejpam-3301	142	8	is	be	AUX
ejpam-3301	142	9	eigenvector	eigenvector	NOUN
ejpam-3301	142	10	with	with	ADP
ejpam-3301	142	11	‖v(t)‖2	‖v(t)‖2	NOUN
ejpam-3301	142	12	=	=	SYM
ejpam-3301	142	13	1	1	NUM
ejpam-3301	142	14	and	and	CCONJ
ejpam-3301	142	15	is	be	AUX
ejpam-3301	142	16	associated	associate	VERB
ejpam-3301	142	17	with	with	ADP
ejpam-3301	142	18	the	the	DET
ejpam-3301	142	19	simple	simple	ADJ
ejpam-3301	142	20	eigenvalue	eigenvalue	PROPN
ejpam-3301	142	21	λ(t	λ(t	PROPN
ejpam-3301	142	22	)	)	PUNCT
ejpam-3301	142	23	for	for	ADP
ejpam-3301	142	24	an	an	DET
ejpam-3301	142	25	operator	operator	NOUN
ejpam-3301	142	26	(	(	PUNCT
ejpam-3301	142	27	εa℘(t	εa℘(t	NOUN
ejpam-3301	142	28	)	)	PUNCT
ejpam-3301	142	29	)	)	PUNCT
ejpam-3301	142	30	for	for	ADP
ejpam-3301	142	31	fixed	fix	VERB
ejpam-3301	142	32	perturbation	perturbation	NOUN
ejpam-3301	142	33	level	level	NOUN
ejpam-3301	142	34	that	that	PRON
ejpam-3301	142	35	is	be	AUX
ejpam-3301	142	36	ε	ε	PROPN
ejpam-3301	142	37	>	>	X
ejpam-3301	142	38	0	0	PROPN
ejpam-3301	142	39	.	.	PUNCT
ejpam-3301	143	1	the	the	DET
ejpam-3301	143	2	differential	differential	ADJ
ejpam-3301	143	3	equation	equation	NOUN
ejpam-3301	143	4	(	(	PUNCT
ejpam-3301	143	5	4.9	4.9	NUM
ejpam-3301	143	6	)	)	PUNCT
ejpam-3301	143	7	is	be	AUX
ejpam-3301	143	8	a	a	DET
ejpam-3301	143	9	gradient	gradient	ADJ
ejpam-3301	143	10	system	system	NOUN
ejpam-3301	143	11	of	of	ADP
ejpam-3301	143	12	ode	ode	PROPN
ejpam-3301	143	13	’s	’s	PART
ejpam-3301	143	14	because	because	SCONJ
ejpam-3301	143	15	of	of	ADP
ejpam-3301	143	16	the	the	DET
ejpam-3301	143	17	fact	fact	NOUN
ejpam-3301	143	18	that	that	SCONJ
ejpam-3301	143	19	it	it	PRON
ejpam-3301	143	20	’s	’	VERB
ejpam-3301	143	21	right	right	ADJ
ejpam-3301	143	22	-	-	PUNCT
ejpam-3301	143	23	hand	hand	NOUN
ejpam-3301	143	24	side	side	NOUN
ejpam-3301	143	25	is	be	AUX
ejpam-3301	143	26	nothing	nothing	PRON
ejpam-3301	143	27	but	but	SCONJ
ejpam-3301	143	28	projected	project	VERB
ejpam-3301	143	29	gradient	gradient	NOUN
ejpam-3301	143	30	of	of	ADP
ejpam-3301	143	31	τ	τ	PROPN
ejpam-3301	143	32	7→	7→	NUM
ejpam-3301	143	33	re(u∗τv	re(u∗τv	NOUN
ejpam-3301	143	34	)	)	PUNCT
ejpam-3301	143	35	.	.	PUNCT
ejpam-3301	144	1	4.3	4.3	NUM
ejpam-3301	144	2	.	.	PUNCT
ejpam-3301	144	3	choice	choice	NOUN
ejpam-3301	144	4	of	of	ADP
ejpam-3301	144	5	initial	initial	ADJ
ejpam-3301	144	6	value	value	NOUN
ejpam-3301	144	7	matrix	matrix	NOUN
ejpam-3301	144	8	and	and	CCONJ
ejpam-3301	144	9	ε	ε	PROPN
ejpam-3301	145	1	[	[	X
ejpam-3301	145	2	11	11	NUM
ejpam-3301	145	3	]	]	PUNCT
ejpam-3301	145	4	.	.	PUNCT
ejpam-3301	146	1	for	for	ADP
ejpam-3301	146	2	the	the	DET
ejpam-3301	146	3	computation	computation	NOUN
ejpam-3301	146	4	of	of	ADP
ejpam-3301	146	5	the	the	DET
ejpam-3301	146	6	admissible	admissible	ADJ
ejpam-3301	146	7	perturbation	perturbation	NOUN
ejpam-3301	146	8	level	level	NOUN
ejpam-3301	146	9	ε	ε	NOUN
ejpam-3301	146	10	,	,	PUNCT
ejpam-3301	146	11	we	we	PRON
ejpam-3301	146	12	take	take	VERB
ejpam-3301	146	13	the	the	DET
ejpam-3301	146	14	perturbation	perturbation	NOUN
ejpam-3301	146	15	℘	℘	NUM
ejpam-3301	146	16	which	which	PRON
ejpam-3301	146	17	is	be	AUX
ejpam-3301	146	18	obtained	obtain	VERB
ejpam-3301	146	19	for	for	ADP
ejpam-3301	146	20	the	the	DET
ejpam-3301	146	21	previous	previous	ADJ
ejpam-3301	146	22	value	value	NOUN
ejpam-3301	146	23	that	that	PRON
ejpam-3301	146	24	is	be	AUX
ejpam-3301	146	25	ε1	ε1	VERB
ejpam-3301	146	26	as	as	ADP
ejpam-3301	146	27	the	the	DET
ejpam-3301	146	28	initial	initial	ADJ
ejpam-3301	146	29	value	value	NOUN
ejpam-3301	146	30	matrix	matrix	NOUN
ejpam-3301	146	31	.	.	PUNCT
ejpam-3301	147	1	in	in	ADP
ejpam-3301	147	2	order	order	NOUN
ejpam-3301	147	3	to	to	PART
ejpam-3301	147	4	produce	produce	VERB
ejpam-3301	147	5	the	the	DET
ejpam-3301	147	6	maximal	maximal	ADJ
ejpam-3301	147	7	growth	growth	NOUN
ejpam-3301	147	8	for	for	ADP
ejpam-3301	147	9	the	the	DET
ejpam-3301	147	10	eigenvalue	eigenvalue	PROPN
ejpam-3301	147	11	|λ(t)|	|λ(t)|	PROPN
ejpam-3301	147	12	,	,	PUNCT
ejpam-3301	147	13	we	we	PRON
ejpam-3301	147	14	take	take	VERB
ejpam-3301	147	15	the	the	DET
ejpam-3301	147	16	initial	initial	ADJ
ejpam-3301	147	17	value	value	NOUN
ejpam-3301	147	18	matrix	matrix	NOUN
ejpam-3301	147	19	as	as	ADP
ejpam-3301	147	20	:	:	PUNCT
ejpam-3301	147	21	℘0	℘0	NOUN
ejpam-3301	147	22	=	=	SYM
ejpam-3301	147	23	s	s	VERB
ejpam-3301	147	24	p℘b(w(t)v(t)∗	p℘b(w(t)v(t)∗	ADJ
ejpam-3301	147	25	)	)	PUNCT
ejpam-3301	147	26	.	.	PUNCT
ejpam-3301	148	1	(	(	PUNCT
ejpam-3301	148	2	23	23	NUM
ejpam-3301	148	3	)	)	PUNCT
ejpam-3301	148	4	the	the	DET
ejpam-3301	148	5	operator	operator	NOUN
ejpam-3301	148	6	s	s	VERB
ejpam-3301	148	7	is	be	AUX
ejpam-3301	148	8	chosen	choose	VERB
ejpam-3301	148	9	such	such	ADJ
ejpam-3301	148	10	that	that	SCONJ
ejpam-3301	148	11	℘0	℘0	PROPN
ejpam-3301	148	12	∈	∈	PROPN
ejpam-3301	148	13	θb	θb	PROPN
ejpam-3301	148	14	.	.	PROPN
ejpam-3301	149	1	for	for	ADP
ejpam-3301	149	2	a	a	DET
ejpam-3301	149	3	very	very	ADV
ejpam-3301	149	4	natural	natural	ADJ
ejpam-3301	149	5	choice	choice	NOUN
ejpam-3301	149	6	of	of	ADP
ejpam-3301	149	7	the	the	DET
ejpam-3301	149	8	initialization	initialization	NOUN
ejpam-3301	149	9	of	of	ADP
ejpam-3301	149	10	the	the	DET
ejpam-3301	149	11	perturbation	perturbation	NOUN
ejpam-3301	149	12	level	level	NOUN
ejpam-3301	149	13	,	,	PUNCT
ejpam-3301	149	14	we	we	PRON
ejpam-3301	149	15	consider	consider	VERB
ejpam-3301	149	16	ε	ε	PROPN
ejpam-3301	149	17	as	as	ADP
ejpam-3301	149	18	:	:	PUNCT
ejpam-3301	149	19	ε	ε	PROPN
ejpam-3301	149	20	=	=	SYM
ejpam-3301	149	21	1	1	NUM
ejpam-3301	149	22	µ̂θb(a	µ̂θb(a	PROPN
ejpam-3301	149	23	)	)	PUNCT
ejpam-3301	149	24	.	.	PUNCT
ejpam-3301	150	1	(	(	PUNCT
ejpam-3301	150	2	24	24	NUM
ejpam-3301	150	3	)	)	PUNCT
ejpam-3301	150	4	in	in	ADP
ejpam-3301	150	5	the	the	DET
ejpam-3301	150	6	above	above	ADJ
ejpam-3301	150	7	equation	equation	NOUN
ejpam-3301	150	8	,	,	PUNCT
ejpam-3301	150	9	µ̂θb(a	µ̂θb(a	PROPN
ejpam-3301	150	10	)	)	PUNCT
ejpam-3301	150	11	is	be	AUX
ejpam-3301	150	12	the	the	DET
ejpam-3301	150	13	upper	upper	ADJ
ejpam-3301	150	14	bound	bind	VERB
ejpam-3301	150	15	of	of	ADP
ejpam-3301	150	16	µ-value	µ-value	NOUN
ejpam-3301	150	17	approximated	approximate	VERB
ejpam-3301	150	18	by	by	ADP
ejpam-3301	150	19	matlab	matlab	PROPN
ejpam-3301	150	20	function	function	PROPN
ejpam-3301	150	21	mussv	mussv	PROPN
ejpam-3301	150	22	,	,	PUNCT
ejpam-3301	150	23	which	which	PRON
ejpam-3301	150	24	approximates	approximate	VERB
ejpam-3301	150	25	both	both	CCONJ
ejpam-3301	150	26	upper	upper	ADJ
ejpam-3301	150	27	and	and	CCONJ
ejpam-3301	150	28	lower	low	ADJ
ejpam-3301	150	29	bounds	bound	NOUN
ejpam-3301	150	30	of	of	ADP
ejpam-3301	150	31	structured	structured	ADJ
ejpam-3301	150	32	singular	singular	ADJ
ejpam-3301	150	33	values	value	NOUN
ejpam-3301	150	34	.	.	PUNCT
ejpam-3301	151	1	5	5	X
ejpam-3301	151	2	.	.	X
ejpam-3301	151	3	numerical	numerical	ADJ
ejpam-3301	151	4	testing	testing	NOUN
ejpam-3301	151	5	in	in	ADP
ejpam-3301	151	6	the	the	DET
ejpam-3301	151	7	very	very	ADV
ejpam-3301	151	8	final	final	ADJ
ejpam-3301	151	9	section	section	NOUN
ejpam-3301	151	10	of	of	ADP
ejpam-3301	151	11	this	this	DET
ejpam-3301	151	12	artile	artile	NOUN
ejpam-3301	151	13	,	,	PUNCT
ejpam-3301	151	14	we	we	PRON
ejpam-3301	151	15	present	present	VERB
ejpam-3301	151	16	numerical	numerical	ADJ
ejpam-3301	151	17	experimentations	experimentation	NOUN
ejpam-3301	151	18	for	for	ADP
ejpam-3301	151	19	both	both	CCONJ
ejpam-3301	151	20	lower	low	ADJ
ejpam-3301	151	21	and	and	CCONJ
ejpam-3301	151	22	upper	upper	ADJ
ejpam-3301	151	23	bounds	bound	NOUN
ejpam-3301	151	24	of	of	ADP
ejpam-3301	151	25	structured	structured	ADJ
ejpam-3301	151	26	singular	singular	ADJ
ejpam-3301	151	27	values	value	NOUN
ejpam-3301	151	28	.	.	PUNCT
ejpam-3301	152	1	the	the	DET
ejpam-3301	152	2	numerical	numerical	ADJ
ejpam-3301	152	3	results	result	NOUN
ejpam-3301	152	4	are	be	AUX
ejpam-3301	152	5	computed	compute	VERB
ejpam-3301	152	6	by	by	ADP
ejpam-3301	152	7	well	well	ADV
ejpam-3301	152	8	-	-	PUNCT
ejpam-3301	152	9	known	know	VERB
ejpam-3301	152	10	matlab	matlab	NOUN
ejpam-3301	152	11	function	function	NOUN
ejpam-3301	152	12	mussv	mussv	NOUN
ejpam-3301	152	13	and	and	CCONJ
ejpam-3301	152	14	the	the	DET
ejpam-3301	152	15	algorithm	algorithm	NOUN
ejpam-3301	152	16	[	[	X
ejpam-3301	152	17	11	11	NUM
ejpam-3301	152	18	]	]	PUNCT
ejpam-3301	152	19	.	.	PUNCT
ejpam-3301	153	1	example	example	NOUN
ejpam-3301	154	1	1	1	NUM
ejpam-3301	154	2	.	.	X
ejpam-3301	154	3	consider	consider	VERB
ejpam-3301	154	4	two	two	NUM
ejpam-3301	154	5	dimensional	dimensional	ADJ
ejpam-3301	154	6	real	real	ADJ
ejpam-3301	154	7	matrix	matrix	NOUN
ejpam-3301	154	8	a1	a1	NOUN
ejpam-3301	154	9	.	.	PUNCT
ejpam-3301	154	10	a1	a1	NOUN
ejpam-3301	154	11	=	=	PUNCT
ejpam-3301	154	12			NOUN
ejpam-3301	154	13	−1	−1	NOUN
ejpam-3301	154	14	0	0	NUM
ejpam-3301	154	15	0	0	NUM
ejpam-3301	154	16	0	0	NUM
ejpam-3301	154	17	0	0	NUM
ejpam-3301	154	18	0	0	NUM
ejpam-3301	154	19	0	0	NUM
ejpam-3301	154	20	0	0	NUM
ejpam-3301	154	21	1	1	NUM
ejpam-3301	154	22	0	0	NUM
ejpam-3301	154	23	0	0	NUM
ejpam-3301	154	24	0	0	NUM
ejpam-3301	154	25	−1	−1	NOUN
ejpam-3301	154	26	0	0	NUM
ejpam-3301	154	27	0	0	NUM
ejpam-3301	154	28	0	0	NUM
ejpam-3301	154	29	1	1	NUM
ejpam-3301	154	30	0	0	NUM
ejpam-3301	154	31	0	0	NUM
ejpam-3301	154	32	0	0	NUM
ejpam-3301	154	33	0	0	NUM
ejpam-3301	154	34	0	0	NUM
ejpam-3301	154	35	0	0	NUM
ejpam-3301	154	36	0	0	NUM
ejpam-3301	154	37	−1	−1	NOUN
ejpam-3301	154	38			NOUN
ejpam-3301	154	39	.	.	PUNCT
ejpam-3301	155	1	the	the	DET
ejpam-3301	155	2	set	set	NOUN
ejpam-3301	155	3	of	of	ADP
ejpam-3301	155	4	block	block	NOUN
ejpam-3301	155	5	diagonal	diagonal	ADJ
ejpam-3301	155	6	matrices	matrix	NOUN
ejpam-3301	155	7	is	be	AUX
ejpam-3301	155	8	taken	take	VERB
ejpam-3301	155	9	as	as	ADP
ejpam-3301	155	10	:	:	PUNCT
ejpam-3301	155	11	θb′	θb′	X
ejpam-3301	155	12	=	=	SYM
ejpam-3301	155	13	{	{	PUNCT
ejpam-3301	155	14	diag(δ1i1	diag(δ1i1	PROPN
ejpam-3301	155	15	,	,	PUNCT
ejpam-3301	155	16	δ2i1	δ2i1	NOUN
ejpam-3301	155	17	,	,	PUNCT
ejpam-3301	155	18	℘1	℘1	NOUN
ejpam-3301	155	19	)	)	PUNCT
ejpam-3301	155	20	:	:	PUNCT
ejpam-3301	155	21	δ1	δ1	NOUN
ejpam-3301	155	22	,	,	PUNCT
ejpam-3301	155	23	δ2	δ2	VERB
ejpam-3301	155	24	∈	∈	PROPN
ejpam-3301	155	25	r	r	NOUN
ejpam-3301	155	26	,	,	PUNCT
ejpam-3301	155	27	℘1	℘1	VERB
ejpam-3301	155	28	∈	∈	PROPN
ejpam-3301	155	29	c3,3	c3,3	NOUN
ejpam-3301	155	30	}	}	PUNCT
ejpam-3301	155	31	.	.	PUNCT
ejpam-3301	156	1	m.	m.	PROPN
ejpam-3301	156	2	f.	f.	PROPN
ejpam-3301	156	3	anwar	anwar	PROPN
ejpam-3301	156	4	,	,	PUNCT
ejpam-3301	156	5	m.	m.	NOUN
ejpam-3301	156	6	rehman	rehman	PROPN
ejpam-3301	156	7	/	/	SYM
ejpam-3301	156	8	eur	eur	PROPN
ejpam-3301	156	9	.	.	PUNCT
ejpam-3301	157	1	j.	j.	PROPN
ejpam-3301	157	2	pure	pure	PROPN
ejpam-3301	157	3	appl	appl	PROPN
ejpam-3301	157	4	.	.	PROPN
ejpam-3301	157	5	math	math	PROPN
ejpam-3301	157	6	,	,	PUNCT
ejpam-3301	157	7	11	11	NUM
ejpam-3301	157	8	(	(	PUNCT
ejpam-3301	157	9	3	3	NUM
ejpam-3301	157	10	)	)	PUNCT
ejpam-3301	157	11	(	(	PUNCT
ejpam-3301	157	12	2018	2018	NUM
ejpam-3301	157	13	)	)	PUNCT
ejpam-3301	157	14	,	,	PUNCT
ejpam-3301	157	15	844	844	NUM
ejpam-3301	157	16	-	-	SYM
ejpam-3301	157	17	868	868	NUM
ejpam-3301	157	18	850	850	NUM
ejpam-3301	157	19	the	the	DET
ejpam-3301	157	20	admissible	admissible	ADJ
ejpam-3301	157	21	perturbation	perturbation	NOUN
ejpam-3301	157	22	structure	structure	NOUN
ejpam-3301	157	23	℘̂	℘̂	VERB
ejpam-3301	157	24	obtained	obtain	VERB
ejpam-3301	157	25	by	by	ADP
ejpam-3301	157	26	using	use	VERB
ejpam-3301	157	27	matlab	matlab	PROPN
ejpam-3301	157	28	routine	routine	PROPN
ejpam-3301	157	29	mussv	mussv	PROPN
ejpam-3301	157	30	is	be	AUX
ejpam-3301	157	31	:	:	PUNCT
ejpam-3301	157	32	℘̂	℘̂	ADJ
ejpam-3301	157	33	=	=	PUNCT
ejpam-3301	157	34			NOUN
ejpam-3301	157	35	0	0	NUM
ejpam-3301	157	36	0	0	NUM
ejpam-3301	157	37	0	0	NUM
ejpam-3301	157	38	0	0	NUM
ejpam-3301	157	39	0	0	NUM
ejpam-3301	157	40	0	0	NUM
ejpam-3301	157	41	0	0	NUM
ejpam-3301	157	42	0	0	NUM
ejpam-3301	157	43	0	0	NUM
ejpam-3301	157	44	0	0	NUM
ejpam-3301	157	45	0	0	NUM
ejpam-3301	157	46	0	0	NUM
ejpam-3301	157	47	−1	−1	NOUN
ejpam-3301	157	48	0	0	NUM
ejpam-3301	157	49	0	0	NUM
ejpam-3301	157	50	0	0	NUM
ejpam-3301	157	51	0	0	NUM
ejpam-3301	157	52	0	0	NUM
ejpam-3301	157	53	0	0	NUM
ejpam-3301	157	54	0	0	NUM
ejpam-3301	157	55	0	0	NUM
ejpam-3301	157	56	0	0	NUM
ejpam-3301	157	57	0	0	NUM
ejpam-3301	157	58	0	0	NUM
ejpam-3301	157	59	0	0	NUM
ejpam-3301	157	60			NOUN
ejpam-3301	157	61	.	.	PUNCT
ejpam-3301	158	1	the	the	DET
ejpam-3301	158	2	‖℘̂‖2	‖℘̂‖2	NOUN
ejpam-3301	158	3	=	=	SYM
ejpam-3301	158	4	1	1	X
ejpam-3301	158	5	.	.	PUNCT
ejpam-3301	159	1	the	the	DET
ejpam-3301	159	2	computed	compute	VERB
ejpam-3301	159	3	upper	upper	ADJ
ejpam-3301	159	4	bound	bind	VERB
ejpam-3301	159	5	is	be	AUX
ejpam-3301	159	6	µupperpd	µupperpd	NOUN
ejpam-3301	159	7	=	=	SYM
ejpam-3301	159	8	2.3224	2.3224	NUM
ejpam-3301	159	9	.	.	PUNCT
ejpam-3301	160	1	the	the	DET
ejpam-3301	160	2	same	same	ADJ
ejpam-3301	160	3	lower	low	ADJ
ejpam-3301	160	4	bound	bind	VERB
ejpam-3301	160	5	is	be	AUX
ejpam-3301	160	6	obtained	obtain	VERB
ejpam-3301	160	7	,	,	PUNCT
ejpam-3301	160	8	that	that	ADV
ejpam-3301	160	9	is	is	ADV
ejpam-3301	160	10	,	,	PUNCT
ejpam-3301	161	1	µlowerpd	µlowerpd	ADJ
ejpam-3301	161	2	=	=	SYM
ejpam-3301	161	3	2.3224	2.3224	NUM
ejpam-3301	161	4	.	.	PUNCT
ejpam-3301	162	1	by	by	ADP
ejpam-3301	162	2	using	use	VERB
ejpam-3301	162	3	algorithm	algorithm	NOUN
ejpam-3301	162	4	[	[	X
ejpam-3301	162	5	11	11	NUM
ejpam-3301	162	6	]	]	PUNCT
ejpam-3301	162	7	,	,	PUNCT
ejpam-3301	162	8	the	the	DET
ejpam-3301	162	9	perturbation	perturbation	NOUN
ejpam-3301	162	10	structure	structure	NOUN
ejpam-3301	162	11	ε∗℘∗	ε∗℘∗	ADV
ejpam-3301	162	12	is	be	AUX
ejpam-3301	162	13	obtained	obtain	VERB
ejpam-3301	162	14	as	as	ADP
ejpam-3301	162	15	:	:	PUNCT
ejpam-3301	162	16	℘∗	℘∗	NOUN
ejpam-3301	162	17	=	=	NOUN
ejpam-3301	162	18			NOUN
ejpam-3301	162	19	0	0	NUM
ejpam-3301	162	20	0	0	NUM
ejpam-3301	162	21	0	0	NUM
ejpam-3301	162	22	0	0	NUM
ejpam-3301	162	23	0	0	NUM
ejpam-3301	162	24	0	0	NUM
ejpam-3301	162	25	0.5	0.5	NUM
ejpam-3301	162	26	0	0	NUM
ejpam-3301	162	27	0.5	0.5	NUM
ejpam-3301	162	28	0	0	NUM
ejpam-3301	162	29	0	0	NUM
ejpam-3301	162	30	0	0	NUM
ejpam-3301	162	31	0	0	NUM
ejpam-3301	162	32	0	0	NUM
ejpam-3301	162	33	0	0	NUM
ejpam-3301	162	34	0	0	NUM
ejpam-3301	162	35	0.5	0.5	NUM
ejpam-3301	162	36	0	0	NUM
ejpam-3301	162	37	0.5	0.5	NUM
ejpam-3301	162	38	0	0	NUM
ejpam-3301	162	39	0	0	NUM
ejpam-3301	162	40	0	0	NUM
ejpam-3301	162	41	0	0	NUM
ejpam-3301	162	42	0	0	NUM
ejpam-3301	162	43	0	0	NUM
ejpam-3301	162	44			NOUN
ejpam-3301	162	45	.	.	PUNCT
ejpam-3301	163	1	in	in	ADP
ejpam-3301	163	2	this	this	DET
ejpam-3301	163	3	case	case	NOUN
ejpam-3301	163	4	,	,	PUNCT
ejpam-3301	163	5	ε∗	ε∗	PROPN
ejpam-3301	163	6	=	=	SYM
ejpam-3301	163	7	1.0000	1.0000	NUM
ejpam-3301	163	8	and	and	CCONJ
ejpam-3301	163	9	‖℘∗‖2	‖℘∗‖2	PROPN
ejpam-3301	163	10	=	=	NOUN
ejpam-3301	164	1	1	1	X
ejpam-3301	164	2	.	.	PUNCT
ejpam-3301	165	1	the	the	DET
ejpam-3301	165	2	obtained	obtain	VERB
ejpam-3301	165	3	lower	lower	ADV
ejpam-3301	165	4	bound	bind	VERB
ejpam-3301	165	5	is	be	AUX
ejpam-3301	165	6	as	as	ADV
ejpam-3301	165	7	µlowernew	µlowernew	ADJ
ejpam-3301	165	8	=	=	SYM
ejpam-3301	165	9	2.3224	2.3224	NUM
ejpam-3301	165	10	.	.	PUNCT
ejpam-3301	166	1	in	in	ADP
ejpam-3301	166	2	the	the	DET
ejpam-3301	166	3	following	follow	VERB
ejpam-3301	166	4	figure	figure	NOUN
ejpam-3301	166	5	1	1	NUM
ejpam-3301	166	6	,	,	PUNCT
ejpam-3301	166	7	we	we	PRON
ejpam-3301	166	8	give	give	VERB
ejpam-3301	166	9	the	the	DET
ejpam-3301	166	10	comparison	comparison	NOUN
ejpam-3301	166	11	of	of	ADP
ejpam-3301	166	12	lower	low	ADJ
ejpam-3301	166	13	bounds	bound	NOUN
ejpam-3301	166	14	of	of	ADP
ejpam-3301	166	15	structured	structured	ADJ
ejpam-3301	166	16	singular	singular	ADJ
ejpam-3301	166	17	values	value	NOUN
ejpam-3301	166	18	approximated	approximate	VERB
ejpam-3301	166	19	by	by	ADP
ejpam-3301	166	20	our	our	PRON
ejpam-3301	166	21	new	new	ADJ
ejpam-3301	166	22	algorithm	algorithm	NOUN
ejpam-3301	166	23	with	with	ADP
ejpam-3301	166	24	the	the	DET
ejpam-3301	166	25	lower	low	ADJ
ejpam-3301	166	26	and	and	CCONJ
ejpam-3301	166	27	upper	upper	ADJ
ejpam-3301	166	28	bounds	bound	NOUN
ejpam-3301	166	29	approximated	approximate	VERB
ejpam-3301	166	30	by	by	ADP
ejpam-3301	166	31	matlab	matlab	PROPN
ejpam-3301	166	32	function	function	NOUN
ejpam-3301	166	33	mussv	mussv	NOUN
ejpam-3301	166	34	for	for	ADP
ejpam-3301	166	35	matrix	matrix	NOUN
ejpam-3301	166	36	valued	value	VERB
ejpam-3301	166	37	function	function	NOUN
ejpam-3301	166	38	b1(w	b1(w	NOUN
ejpam-3301	166	39	)	)	PUNCT
ejpam-3301	166	40	for	for	ADP
ejpam-3301	166	41	w=1:9	w=1:9	NOUN
ejpam-3301	166	42	,	,	PUNCT
ejpam-3301	166	43	where	where	SCONJ
ejpam-3301	166	44	w	w	PROPN
ejpam-3301	166	45	∈	∈	PROPN
ejpam-3301	166	46	ω	ω	PROPN
ejpam-3301	166	47	and	and	CCONJ
ejpam-3301	166	48	ω	ω	PROPN
ejpam-3301	166	49	represents	represent	VERB
ejpam-3301	166	50	the	the	DET
ejpam-3301	166	51	frequency	frequency	NOUN
ejpam-3301	166	52	range	range	NOUN
ejpam-3301	166	53	in	in	ADP
ejpam-3301	166	54	r+	r+	X
ejpam-3301	166	55	.	.	PUNCT
ejpam-3301	167	1	frequency	frequency	PROPN
ejpam-3301	167	2	response	response	NOUN
ejpam-3301	167	3	w	w	NOUN
ejpam-3301	167	4	is	be	AUX
ejpam-3301	167	5	measure	measure	NOUN
ejpam-3301	167	6	of	of	ADP
ejpam-3301	167	7	output	output	NOUN
ejpam-3301	167	8	of	of	ADP
ejpam-3301	167	9	(	(	PUNCT
ejpam-3301	167	10	b1	b1	NOUN
ejpam-3301	167	11	−	−	PROPN
ejpam-3301	167	12	℘	℘	PROPN
ejpam-3301	167	13	)	)	PUNCT
ejpam-3301	167	14	system	system	NOUN
ejpam-3301	167	15	.	.	PUNCT
ejpam-3301	167	16	example	example	NOUN
ejpam-3301	168	1	2	2	NUM
ejpam-3301	168	2	.	.	X
ejpam-3301	168	3	consider	consider	VERB
ejpam-3301	168	4	two	two	NUM
ejpam-3301	168	5	dimensional	dimensional	ADJ
ejpam-3301	168	6	real	real	ADJ
ejpam-3301	168	7	matrix	matrix	NOUN
ejpam-3301	168	8	a2	a2	NOUN
ejpam-3301	168	9	.	.	PUNCT
ejpam-3301	169	1	a2	a2	PROPN
ejpam-3301	169	2	=	=	SYM
ejpam-3301	169	3			PROPN
ejpam-3301	169	4	0	0	NUM
ejpam-3301	170	1	1	1	NUM
ejpam-3301	170	2	0	0	NUM
ejpam-3301	170	3	0	0	NUM
ejpam-3301	170	4	0	0	NUM
ejpam-3301	170	5	0	0	NUM
ejpam-3301	170	6	0	0	NUM
ejpam-3301	170	7	0	0	NUM
ejpam-3301	170	8	0	0	NUM
ejpam-3301	170	9	1	1	NUM
ejpam-3301	170	10	0	0	NUM
ejpam-3301	170	11	0	0	NUM
ejpam-3301	170	12	0	0	NUM
ejpam-3301	170	13	0	0	NUM
ejpam-3301	170	14	0	0	NUM
ejpam-3301	170	15	0	0	NUM
ejpam-3301	170	16	0	0	NUM
ejpam-3301	170	17	0	0	NUM
ejpam-3301	170	18	0	0	NUM
ejpam-3301	171	1	−3	−3	NOUN
ejpam-3301	171	2	1	1	NUM
ejpam-3301	171	3	3	3	NUM
ejpam-3301	171	4	2	2	NUM
ejpam-3301	171	5	−3	−3	NOUN
ejpam-3301	171	6	−2	−2	NOUN
ejpam-3301	171	7	−4	−4	NOUN
ejpam-3301	171	8	1	1	NUM
ejpam-3301	171	9	−1	−1	NOUN
ejpam-3301	171	10	2	2	NUM
ejpam-3301	171	11	−2	−2	NOUN
ejpam-3301	171	12	−4	−4	X
ejpam-3301	171	13	−2	−2	NOUN
ejpam-3301	171	14	3	3	NUM
ejpam-3301	171	15	2	2	NUM
ejpam-3301	171	16	4	4	NUM
ejpam-3301	171	17	−1	−1	NOUN
ejpam-3301	171	18	1	1	NUM
ejpam-3301	171	19	−3	−3	NOUN
ejpam-3301	171	20	2	2	NUM
ejpam-3301	171	21	4	4	NUM
ejpam-3301	171	22	2	2	NUM
ejpam-3301	171	23	−3	−3	NOUN
ejpam-3301	171	24	−2	−2	NOUN
ejpam-3301	171	25	−5	−5	NOUN
ejpam-3301	171	26	1	1	NUM
ejpam-3301	171	27	1	1	NUM
ejpam-3301	171	28	−1	−1	NOUN
ejpam-3301	171	29	0	0	NUM
ejpam-3301	171	30	2	2	NUM
ejpam-3301	171	31	2	2	NUM
ejpam-3301	171	32	−1	−1	NOUN
ejpam-3301	171	33	0	0	NUM
ejpam-3301	171	34	−2	−2	NOUN
ejpam-3301	171	35	0	0	NUM
ejpam-3301	171	36	−1	−1	NOUN
ejpam-3301	171	37	−1	−1	NOUN
ejpam-3301	171	38	0	0	NUM
ejpam-3301	171	39	0	0	NUM
ejpam-3301	171	40	0	0	NUM
ejpam-3301	171	41	0	0	NUM
ejpam-3301	171	42	−1	−1	NOUN
ejpam-3301	171	43	0	0	NUM
ejpam-3301	171	44	0	0	NUM
ejpam-3301	171	45	−1	−1	NOUN
ejpam-3301	171	46	0	0	NUM
ejpam-3301	171	47	0	0	NUM
ejpam-3301	171	48	−1	−1	NOUN
ejpam-3301	171	49	−1	−1	NOUN
ejpam-3301	171	50	0	0	NUM
ejpam-3301	171	51	0	0	NUM
ejpam-3301	171	52	0	0	NUM
ejpam-3301	171	53	0	0	NUM
ejpam-3301	171	54	1	1	NUM
ejpam-3301	171	55	−2	−2	NOUN
ejpam-3301	171	56	2	2	NUM
ejpam-3301	171	57	3	3	NUM
ejpam-3301	171	58	2	2	NUM
ejpam-3301	171	59	−3	−3	NOUN
ejpam-3301	171	60	−2	−2	NOUN
ejpam-3301	171	61	−4	−4	X
ejpam-3301	171	62	0	0	NUM
ejpam-3301	171	63			NUM
ejpam-3301	171	64	.	.	PUNCT
ejpam-3301	172	1	the	the	DET
ejpam-3301	172	2	set	set	NOUN
ejpam-3301	172	3	of	of	ADP
ejpam-3301	172	4	block	block	NOUN
ejpam-3301	172	5	diagonal	diagonal	ADJ
ejpam-3301	172	6	matrices	matrix	NOUN
ejpam-3301	172	7	is	be	AUX
ejpam-3301	172	8	taken	take	VERB
ejpam-3301	172	9	as	as	ADP
ejpam-3301	172	10	:	:	PUNCT
ejpam-3301	172	11	θb′	θb′	X
ejpam-3301	172	12	=	=	SYM
ejpam-3301	172	13	{	{	PUNCT
ejpam-3301	172	14	diag(δ1i1	diag(δ1i1	PROPN
ejpam-3301	172	15	,	,	PUNCT
ejpam-3301	172	16	℘1	℘1	NOUN
ejpam-3301	172	17	)	)	PUNCT
ejpam-3301	172	18	:	:	PUNCT
ejpam-3301	172	19	δ1	δ1	NOUN
ejpam-3301	172	20	∈	∈	PROPN
ejpam-3301	172	21	r	r	PROPN
ejpam-3301	172	22	,	,	PUNCT
ejpam-3301	172	23	℘1	℘1	VERB
ejpam-3301	172	24	∈	∈	PROPN
ejpam-3301	172	25	c8,8	c8,8	PROPN
ejpam-3301	172	26	}	}	PUNCT
ejpam-3301	172	27	.	.	PUNCT
ejpam-3301	173	1	the	the	DET
ejpam-3301	173	2	admissible	admissible	ADJ
ejpam-3301	173	3	perturbation	perturbation	NOUN
ejpam-3301	173	4	structure	structure	NOUN
ejpam-3301	173	5	℘̂	℘̂	VERB
ejpam-3301	173	6	obtained	obtain	VERB
ejpam-3301	173	7	by	by	ADP
ejpam-3301	173	8	using	use	VERB
ejpam-3301	173	9	matlab	matlab	PROPN
ejpam-3301	173	10	routine	routine	PROPN
ejpam-3301	173	11	mussv	mussv	PROPN
ejpam-3301	173	12	is	be	AUX
ejpam-3301	173	13	:	:	PUNCT
ejpam-3301	173	14	m.	m.	PROPN
ejpam-3301	173	15	f.	f.	PROPN
ejpam-3301	173	16	anwar	anwar	PROPN
ejpam-3301	173	17	,	,	PUNCT
ejpam-3301	173	18	m.	m.	NOUN
ejpam-3301	173	19	rehman	rehman	PROPN
ejpam-3301	173	20	/	/	SYM
ejpam-3301	173	21	eur	eur	PROPN
ejpam-3301	173	22	.	.	PUNCT
ejpam-3301	174	1	j.	j.	PROPN
ejpam-3301	174	2	pure	pure	PROPN
ejpam-3301	174	3	appl	appl	PROPN
ejpam-3301	174	4	.	.	PROPN
ejpam-3301	174	5	math	math	PROPN
ejpam-3301	174	6	,	,	PUNCT
ejpam-3301	174	7	11	11	NUM
ejpam-3301	174	8	(	(	PUNCT
ejpam-3301	174	9	3	3	NUM
ejpam-3301	174	10	)	)	PUNCT
ejpam-3301	174	11	(	(	PUNCT
ejpam-3301	174	12	2018	2018	NUM
ejpam-3301	174	13	)	)	PUNCT
ejpam-3301	174	14	,	,	PUNCT
ejpam-3301	174	15	844	844	NUM
ejpam-3301	174	16	-	-	SYM
ejpam-3301	174	17	868	868	NUM
ejpam-3301	174	18	851	851	NUM
ejpam-3301	174	19	℘̂	℘̂	NOUN
ejpam-3301	174	20	=	=	SYM
ejpam-3301	174	21			NOUN
ejpam-3301	174	22	−0.0641	−0.0641	X
ejpam-3301	174	23	0	0	NUM
ejpam-3301	174	24	0	0	NUM
ejpam-3301	174	25	0	0	NUM
ejpam-3301	174	26	0	0	NUM
ejpam-3301	174	27	0	0	NUM
ejpam-3301	174	28	0	0	NUM
ejpam-3301	174	29	0	0	NUM
ejpam-3301	174	30	0	0	NUM
ejpam-3301	174	31	0	0	NUM
ejpam-3301	175	1	−0.0000	−0.0000	NUM
ejpam-3301	175	2	−0.0100	−0.0100	NUM
ejpam-3301	176	1	0.0105	0.0105	NUM
ejpam-3301	176	2	−0.0118	−0.0118	NOUN
ejpam-3301	176	3	−0.0047	−0.0047	X
ejpam-3301	176	4	−0.0008	−0.0008	X
ejpam-3301	176	5	0.0011	0.0011	NUM
ejpam-3301	176	6	−0.0097	−0.0097	NUM
ejpam-3301	176	7	0	0	NUM
ejpam-3301	177	1	0.0000	0.0000	NUM
ejpam-3301	177	2	0.0065	0.0065	NUM
ejpam-3301	177	3	−0.0069	−0.0069	PUNCT
ejpam-3301	177	4	0.0077	0.0077	PROPN
ejpam-3301	177	5	0.0030	0.0030	NUM
ejpam-3301	177	6	0.0005	0.0005	NUM
ejpam-3301	177	7	−0.0007	−0.0007	ADP
ejpam-3301	177	8	0.0063	0.0063	NUM
ejpam-3301	177	9	0	0	NUM
ejpam-3301	177	10	0.0000	0.0000	NUM
ejpam-3301	177	11	0.0140	0.0140	NUM
ejpam-3301	177	12	−0.0147	−0.0147	PROPN
ejpam-3301	177	13	0.0164	0.0164	NUM
ejpam-3301	177	14	0.0065	0.0065	NUM
ejpam-3301	177	15	0.0011	0.0011	NUM
ejpam-3301	177	16	−0.0015	−0.0015	NOUN
ejpam-3301	177	17	0.0136	0.0136	NUM
ejpam-3301	177	18	0	0	NUM
ejpam-3301	177	19	0.0000	0.0000	NUM
ejpam-3301	177	20	0.0083	0.0083	NUM
ejpam-3301	177	21	−0.0087	−0.0087	NOUN
ejpam-3301	177	22	0.0098	0.0098	NUM
ejpam-3301	177	23	0.0039	0.0039	NUM
ejpam-3301	177	24	0.0007	0.0007	NUM
ejpam-3301	177	25	−0.0009	−0.0009	NOUN
ejpam-3301	178	1	0.0081	0.0081	NUM
ejpam-3301	178	2	0	0	NUM
ejpam-3301	178	3	−0.0000	−0.0000	NUM
ejpam-3301	178	4	−0.0115	−0.0115	NOUN
ejpam-3301	178	5	0.0121	0.0121	NUM
ejpam-3301	178	6	−0.0135	−0.0135	X
ejpam-3301	178	7	−0.0054	−0.0054	X
ejpam-3301	178	8	−0.0009	−0.0009	NOUN
ejpam-3301	179	1	0.0012	0.0012	NUM
ejpam-3301	179	2	−0.0112	−0.0112	NOUN
ejpam-3301	179	3	0	0	PUNCT
ejpam-3301	179	4	−0.0000	−0.0000	NUM
ejpam-3301	179	5	−0.0075	−0.0075	X
ejpam-3301	180	1	0.0079	0.0079	NUM
ejpam-3301	180	2	−0.0088	−0.0088	NUM
ejpam-3301	180	3	−0.0035	−0.0035	X
ejpam-3301	180	4	−0.0006	−0.0006	NOUN
ejpam-3301	180	5	0.0008	0.0008	NUM
ejpam-3301	180	6	−0.0073	−0.0073	NOUN
ejpam-3301	180	7	0	0	NUM
ejpam-3301	180	8	−0.0000	−0.0000	NUM
ejpam-3301	180	9	−0.0166	−0.0166	VERB
ejpam-3301	180	10	0.0175	0.0175	NUM
ejpam-3301	180	11	−0.0196	−0.0196	ADJ
ejpam-3301	180	12	−0.0078	−0.0078	PROPN
ejpam-3301	180	13	−0.0013	−0.0013	NUM
ejpam-3301	180	14	0.0018	0.0018	NUM
ejpam-3301	180	15	−0.0162	−0.0162	NOUN
ejpam-3301	180	16	0	0	NUM
ejpam-3301	181	1	0.0000	0.0000	NUM
ejpam-3301	181	2	0.0028	0.0028	NUM
ejpam-3301	181	3	−0.0030	−0.0030	PROPN
ejpam-3301	181	4	0.0033	0.0033	NUM
ejpam-3301	181	5	0.0013	0.0013	NUM
ejpam-3301	181	6	0.0002	0.0002	NUM
ejpam-3301	181	7	−0.0003	−0.0003	NOUN
ejpam-3301	181	8	0.0028	0.0028	NUM
ejpam-3301	181	9			NOUN
ejpam-3301	181	10	.	.	PUNCT
ejpam-3301	182	1	the	the	DET
ejpam-3301	182	2	‖℘̂‖2	‖℘̂‖2	NOUN
ejpam-3301	182	3	=	=	SYM
ejpam-3301	182	4	0.1258	0.1258	PROPN
ejpam-3301	182	5	.	.	PUNCT
ejpam-3301	183	1	the	the	DET
ejpam-3301	183	2	computed	compute	VERB
ejpam-3301	183	3	upper	upper	ADJ
ejpam-3301	183	4	bound	bind	VERB
ejpam-3301	183	5	is	be	AUX
ejpam-3301	183	6	µupperpd	µupperpd	ADJ
ejpam-3301	183	7	=	=	SYM
ejpam-3301	183	8	15.6004	15.6004	NUM
ejpam-3301	183	9	.	.	PUNCT
ejpam-3301	184	1	the	the	DET
ejpam-3301	184	2	lower	lower	ADV
ejpam-3301	184	3	bound	bind	VERB
ejpam-3301	184	4	is	be	AUX
ejpam-3301	184	5	obtained	obtain	VERB
ejpam-3301	184	6	,	,	PUNCT
ejpam-3301	184	7	that	that	ADV
ejpam-3301	184	8	is	is	ADV
ejpam-3301	184	9	,	,	PUNCT
ejpam-3301	184	10	µlowerpd	µlowerpd	NOUN
ejpam-3301	184	11	=	=	SYM
ejpam-3301	184	12	15.5921	15.5921	NUM
ejpam-3301	184	13	.	.	PUNCT
ejpam-3301	185	1	by	by	ADP
ejpam-3301	185	2	using	use	VERB
ejpam-3301	185	3	algorithm	algorithm	NOUN
ejpam-3301	185	4	[	[	X
ejpam-3301	185	5	11	11	NUM
ejpam-3301	185	6	]	]	PUNCT
ejpam-3301	185	7	,	,	PUNCT
ejpam-3301	185	8	the	the	DET
ejpam-3301	185	9	perturbation	perturbation	NOUN
ejpam-3301	185	10	structure	structure	NOUN
ejpam-3301	185	11	ε∗℘∗	ε∗℘∗	ADV
ejpam-3301	185	12	is	be	AUX
ejpam-3301	185	13	obtained	obtain	VERB
ejpam-3301	185	14	as	as	ADP
ejpam-3301	185	15	:	:	PUNCT
ejpam-3301	185	16	℘∗	℘∗	PROPN
ejpam-3301	185	17	=	=	SYM
ejpam-3301	185	18			NOUN
ejpam-3301	185	19	−1.0000	−1.0000	NUM
ejpam-3301	185	20	0	0	NUM
ejpam-3301	185	21	0	0	NUM
ejpam-3301	185	22	0	0	NUM
ejpam-3301	185	23	0	0	NUM
ejpam-3301	185	24	0	0	NUM
ejpam-3301	185	25	0	0	NUM
ejpam-3301	185	26	0	0	NUM
ejpam-3301	185	27	0	0	NUM
ejpam-3301	185	28	0	0	NUM
ejpam-3301	185	29	−0.0005	−0.0005	NUM
ejpam-3301	185	30	−0.1559	−0.1559	VERB
ejpam-3301	185	31	0.1640	0.1640	NUM
ejpam-3301	185	32	−0.1834	−0.1834	NOUN
ejpam-3301	185	33	−0.0729	−0.0729	X
ejpam-3301	185	34	−0.0123	−0.0123	X
ejpam-3301	185	35	0.0167	0.0167	NUM
ejpam-3301	185	36	−0.1518	−0.1518	NOUN
ejpam-3301	185	37	0	0	SYM
ejpam-3301	185	38	0.0003	0.0003	NUM
ejpam-3301	185	39	0.1016	0.1016	NUM
ejpam-3301	185	40	−0.1069	−0.1069	NOUN
ejpam-3301	185	41	0.1195	0.1195	NUM
ejpam-3301	185	42	0.0475	0.0475	NUM
ejpam-3301	185	43	0.0080	0.0080	NUM
ejpam-3301	185	44	−0.0109	−0.0109	VERB
ejpam-3301	185	45	0.0989	0.0989	PRON
ejpam-3301	185	46	0	0	NUM
ejpam-3301	186	1	0.0007	0.0007	NUM
ejpam-3301	186	2	0.2178	0.2178	NUM
ejpam-3301	186	3	−0.2291	−0.2291	PROPN
ejpam-3301	186	4	0.2563	0.2563	NUM
ejpam-3301	186	5	0.1018	0.1018	NUM
ejpam-3301	186	6	0.0171	0.0171	NUM
ejpam-3301	186	7	−0.0233	−0.0233	NOUN
ejpam-3301	186	8	0.2120	0.2120	NUM
ejpam-3301	186	9	0	0	NUM
ejpam-3301	186	10	0.0004	0.0004	NUM
ejpam-3301	186	11	0.1296	0.1296	NUM
ejpam-3301	186	12	−0.1363	−0.1363	NUM
ejpam-3301	186	13	0.1525	0.1525	NUM
ejpam-3301	186	14	0.0606	0.0606	NUM
ejpam-3301	186	15	0.0102	0.0102	NUM
ejpam-3301	186	16	−0.0139	−0.0139	NOUN
ejpam-3301	186	17	0.1262	0.1262	NUM
ejpam-3301	186	18	0	0	NUM
ejpam-3301	186	19	−0.0005	−0.0005	NUM
ejpam-3301	186	20	−0.1794	−0.1794	X
ejpam-3301	186	21	0.1887	0.1887	NUM
ejpam-3301	186	22	−0.2110	−0.2110	X
ejpam-3301	186	23	−0.0838	−0.0838	X
ejpam-3301	186	24	−0.0141	−0.0141	X
ejpam-3301	186	25	0.0192	0.0192	NUM
ejpam-3301	186	26	−0.1746	−0.1746	SYM
ejpam-3301	186	27	0	0	NUM
ejpam-3301	186	28	−0.0003	−0.0003	NOUN
ejpam-3301	186	29	−0.1164	−0.1164	NOUN
ejpam-3301	186	30	0.1224	0.1224	NUM
ejpam-3301	186	31	−0.1369	−0.1369	X
ejpam-3301	186	32	−0.0544	−0.0544	X
ejpam-3301	186	33	−0.0092	−0.0092	X
ejpam-3301	186	34	0.0125	0.0125	NUM
ejpam-3301	186	35	−0.1133	−0.1133	ADV
ejpam-3301	186	36	0	0	NUM
ejpam-3301	186	37	−0.0008	−0.0008	NOUN
ejpam-3301	186	38	−0.2596	−0.2596	NOUN
ejpam-3301	186	39	0.2731	0.2731	NUM
ejpam-3301	186	40	−0.3054	−0.3054	NOUN
ejpam-3301	186	41	−0.1213	−0.1213	X
ejpam-3301	186	42	−0.0204	−0.0204	NOUN
ejpam-3301	186	43	0.0278	0.0278	NUM
ejpam-3301	186	44	−0.2527	−0.2527	SYM
ejpam-3301	186	45	0	0	NUM
ejpam-3301	186	46	0.0001	0.0001	NUM
ejpam-3301	186	47	0.0443	0.0443	NUM
ejpam-3301	186	48	−0.0466	−0.0466	NOUN
ejpam-3301	186	49	0.0521	0.0521	NUM
ejpam-3301	186	50	0.0207	0.0207	NUM
ejpam-3301	186	51	0.0035	0.0035	NUM
ejpam-3301	186	52	−0.0047	−0.0047	NOUN
ejpam-3301	186	53	0.0431	0.0431	NUM
ejpam-3301	186	54			NOUN
ejpam-3301	186	55	.	.	PUNCT
ejpam-3301	187	1	in	in	ADP
ejpam-3301	187	2	this	this	DET
ejpam-3301	187	3	case	case	NOUN
ejpam-3301	187	4	,	,	PUNCT
ejpam-3301	187	5	ε∗	ε∗	PROPN
ejpam-3301	187	6	=	=	SYM
ejpam-3301	187	7	1.0000	1.0000	NUM
ejpam-3301	187	8	and	and	CCONJ
ejpam-3301	187	9	‖℘∗‖2	‖℘∗‖2	PROPN
ejpam-3301	187	10	=	=	SYM
ejpam-3301	187	11	0.0641	0.0641	NUM
ejpam-3301	187	12	.	.	PUNCT
ejpam-3301	188	1	the	the	DET
ejpam-3301	188	2	obtained	obtain	VERB
ejpam-3301	188	3	lower	lower	ADV
ejpam-3301	188	4	bound	bind	VERB
ejpam-3301	188	5	is	be	AUX
ejpam-3301	188	6	as	as	ADV
ejpam-3301	188	7	µlowernew	µlowernew	ADJ
ejpam-3301	188	8	=	=	SYM
ejpam-3301	188	9	15.5995	15.5995	NUM
ejpam-3301	188	10	.	.	PUNCT
ejpam-3301	189	1	in	in	ADP
ejpam-3301	189	2	the	the	DET
ejpam-3301	189	3	following	follow	VERB
ejpam-3301	189	4	figure	figure	NOUN
ejpam-3301	189	5	2	2	NUM
ejpam-3301	189	6	,	,	PUNCT
ejpam-3301	189	7	we	we	PRON
ejpam-3301	189	8	give	give	VERB
ejpam-3301	189	9	the	the	DET
ejpam-3301	189	10	comparison	comparison	NOUN
ejpam-3301	189	11	of	of	ADP
ejpam-3301	189	12	lower	low	ADJ
ejpam-3301	189	13	bounds	bound	NOUN
ejpam-3301	189	14	of	of	ADP
ejpam-3301	189	15	structured	structured	ADJ
ejpam-3301	189	16	singular	singular	ADJ
ejpam-3301	189	17	values	value	NOUN
ejpam-3301	189	18	approximated	approximate	VERB
ejpam-3301	189	19	by	by	ADP
ejpam-3301	189	20	our	our	PRON
ejpam-3301	189	21	new	new	ADJ
ejpam-3301	189	22	algorithm	algorithm	NOUN
ejpam-3301	189	23	with	with	ADP
ejpam-3301	189	24	the	the	DET
ejpam-3301	189	25	lower	low	ADJ
ejpam-3301	189	26	and	and	CCONJ
ejpam-3301	189	27	upper	upper	ADJ
ejpam-3301	189	28	bounds	bound	NOUN
ejpam-3301	189	29	approximated	approximate	VERB
ejpam-3301	189	30	by	by	ADP
ejpam-3301	189	31	matlab	matlab	PROPN
ejpam-3301	189	32	function	function	NOUN
ejpam-3301	189	33	mussv	mussv	NOUN
ejpam-3301	189	34	for	for	ADP
ejpam-3301	189	35	matrix	matrix	NOUN
ejpam-3301	189	36	valued	value	VERB
ejpam-3301	189	37	function	function	NOUN
ejpam-3301	189	38	b2(w	b2(w	NOUN
ejpam-3301	189	39	)	)	PUNCT
ejpam-3301	189	40	for	for	ADP
ejpam-3301	189	41	w=1:9	w=1:9	NOUN
ejpam-3301	189	42	,	,	PUNCT
ejpam-3301	189	43	where	where	SCONJ
ejpam-3301	189	44	w	w	PROPN
ejpam-3301	189	45	∈	∈	PROPN
ejpam-3301	189	46	ω	ω	PROPN
ejpam-3301	189	47	and	and	CCONJ
ejpam-3301	189	48	ω	ω	PROPN
ejpam-3301	189	49	represents	represent	VERB
ejpam-3301	189	50	the	the	DET
ejpam-3301	189	51	frequency	frequency	NOUN
ejpam-3301	189	52	range	range	NOUN
ejpam-3301	189	53	in	in	ADP
ejpam-3301	189	54	r+	r+	X
ejpam-3301	189	55	.	.	PUNCT
ejpam-3301	190	1	frequency	frequency	PROPN
ejpam-3301	190	2	response	response	NOUN
ejpam-3301	190	3	w	w	NOUN
ejpam-3301	190	4	is	be	AUX
ejpam-3301	190	5	measure	measure	NOUN
ejpam-3301	190	6	of	of	ADP
ejpam-3301	190	7	output	output	NOUN
ejpam-3301	190	8	of	of	ADP
ejpam-3301	190	9	(	(	PUNCT
ejpam-3301	190	10	b2	b2	NOUN
ejpam-3301	190	11	−	−	NOUN
ejpam-3301	190	12	℘	℘	PROPN
ejpam-3301	190	13	)	)	PUNCT
ejpam-3301	190	14	system	system	NOUN
ejpam-3301	190	15	.	.	PUNCT
ejpam-3301	191	1	example	example	NOUN
ejpam-3301	192	1	3	3	X
ejpam-3301	192	2	.	.	X
ejpam-3301	192	3	consider	consider	VERB
ejpam-3301	192	4	two	two	NUM
ejpam-3301	192	5	dimensional	dimensional	ADJ
ejpam-3301	192	6	real	real	ADJ
ejpam-3301	192	7	matrix	matrix	NOUN
ejpam-3301	192	8	a3	a3	NOUN
ejpam-3301	192	9	.	.	PUNCT
ejpam-3301	193	1	a3	a3	NOUN
ejpam-3301	193	2	=	=	NOUN
ejpam-3301	194	1			NOUN
ejpam-3301	194	2	0	0	NUM
ejpam-3301	194	3	0	0	NUM
ejpam-3301	195	1	1	1	NUM
ejpam-3301	195	2	0	0	NUM
ejpam-3301	195	3	0	0	NUM
ejpam-3301	195	4	0	0	NUM
ejpam-3301	195	5	0	0	NUM
ejpam-3301	195	6	0	0	NUM
ejpam-3301	195	7	1	1	NUM
ejpam-3301	195	8	0	0	NUM
ejpam-3301	195	9	1	1	NUM
ejpam-3301	195	10	0	0	NUM
ejpam-3301	195	11	0	0	NUM
ejpam-3301	195	12	0	0	NUM
ejpam-3301	195	13	0	0	NUM
ejpam-3301	195	14	0	0	NUM
ejpam-3301	195	15	1	1	NUM
ejpam-3301	195	16	0	0	NUM
ejpam-3301	195	17	0	0	NUM
ejpam-3301	195	18	0	0	NUM
ejpam-3301	195	19	−1	−1	NOUN
ejpam-3301	195	20	−1	−1	NOUN
ejpam-3301	195	21	−1	−1	NOUN
ejpam-3301	195	22	−1	−1	NOUN
ejpam-3301	195	23	−1	−1	NOUN
ejpam-3301	195	24			NOUN
ejpam-3301	195	25	.	.	PUNCT
ejpam-3301	196	1	the	the	DET
ejpam-3301	196	2	set	set	NOUN
ejpam-3301	196	3	of	of	ADP
ejpam-3301	196	4	block	block	NOUN
ejpam-3301	196	5	diagonal	diagonal	ADJ
ejpam-3301	196	6	matrices	matrix	NOUN
ejpam-3301	196	7	is	be	AUX
ejpam-3301	196	8	taken	take	VERB
ejpam-3301	196	9	as	as	ADP
ejpam-3301	196	10	:	:	PUNCT
ejpam-3301	196	11	θb′	θb′	X
ejpam-3301	196	12	=	=	SYM
ejpam-3301	196	13	{	{	PUNCT
ejpam-3301	196	14	diag(δ1i1	diag(δ1i1	PROPN
ejpam-3301	196	15	,	,	PUNCT
ejpam-3301	196	16	δ2i1	δ2i1	NOUN
ejpam-3301	196	17	,	,	PUNCT
ejpam-3301	196	18	℘1	℘1	NOUN
ejpam-3301	196	19	)	)	PUNCT
ejpam-3301	196	20	:	:	PUNCT
ejpam-3301	196	21	δ1	δ1	NOUN
ejpam-3301	196	22	,	,	PUNCT
ejpam-3301	196	23	δ2	δ2	VERB
ejpam-3301	196	24	∈	∈	PROPN
ejpam-3301	196	25	r	r	NOUN
ejpam-3301	196	26	,	,	PUNCT
ejpam-3301	196	27	℘1	℘1	VERB
ejpam-3301	196	28	∈	∈	PROPN
ejpam-3301	196	29	c3,3	c3,3	NOUN
ejpam-3301	196	30	}	}	PUNCT
ejpam-3301	196	31	.	.	PUNCT
ejpam-3301	197	1	m.	m.	PROPN
ejpam-3301	197	2	f.	f.	PROPN
ejpam-3301	197	3	anwar	anwar	PROPN
ejpam-3301	197	4	,	,	PUNCT
ejpam-3301	197	5	m.	m.	NOUN
ejpam-3301	197	6	rehman	rehman	PROPN
ejpam-3301	197	7	/	/	SYM
ejpam-3301	197	8	eur	eur	PROPN
ejpam-3301	197	9	.	.	PUNCT
ejpam-3301	198	1	j.	j.	PROPN
ejpam-3301	198	2	pure	pure	PROPN
ejpam-3301	198	3	appl	appl	PROPN
ejpam-3301	198	4	.	.	PROPN
ejpam-3301	198	5	math	math	PROPN
ejpam-3301	198	6	,	,	PUNCT
ejpam-3301	198	7	11	11	NUM
ejpam-3301	198	8	(	(	PUNCT
ejpam-3301	198	9	3	3	NUM
ejpam-3301	198	10	)	)	PUNCT
ejpam-3301	198	11	(	(	PUNCT
ejpam-3301	198	12	2018	2018	NUM
ejpam-3301	198	13	)	)	PUNCT
ejpam-3301	198	14	,	,	PUNCT
ejpam-3301	198	15	844	844	NUM
ejpam-3301	198	16	-	-	SYM
ejpam-3301	198	17	868	868	NUM
ejpam-3301	198	18	852	852	NUM
ejpam-3301	198	19	the	the	DET
ejpam-3301	198	20	admissible	admissible	ADJ
ejpam-3301	198	21	perturbation	perturbation	NOUN
ejpam-3301	198	22	structure	structure	NOUN
ejpam-3301	198	23	℘̂	℘̂	VERB
ejpam-3301	198	24	obtained	obtain	VERB
ejpam-3301	198	25	by	by	ADP
ejpam-3301	198	26	using	use	VERB
ejpam-3301	198	27	matlab	matlab	PROPN
ejpam-3301	198	28	routine	routine	PROPN
ejpam-3301	198	29	mussv	mussv	PROPN
ejpam-3301	198	30	is	be	AUX
ejpam-3301	198	31	:	:	PUNCT
ejpam-3301	198	32	℘̂	℘̂	ADJ
ejpam-3301	198	33	=	=	PUNCT
ejpam-3301	198	34			NOUN
ejpam-3301	198	35	0.4354	0.4354	NUM
ejpam-3301	198	36	0	0	NUM
ejpam-3301	198	37	0	0	NUM
ejpam-3301	198	38	0	0	NUM
ejpam-3301	198	39	0	0	NUM
ejpam-3301	198	40	0	0	NUM
ejpam-3301	198	41	0.4354	0.4354	NUM
ejpam-3301	198	42	0	0	NUM
ejpam-3301	198	43	0	0	NUM
ejpam-3301	198	44	0	0	NUM
ejpam-3301	198	45	0	0	NUM
ejpam-3301	198	46	0	0	NUM
ejpam-3301	198	47	0.0337	0.0337	NUM
ejpam-3301	198	48	0.0337	0.0337	NUM
ejpam-3301	198	49	−0.2740	−0.2740	NOUN
ejpam-3301	198	50	0	0	NUM
ejpam-3301	198	51	0	0	NUM
ejpam-3301	198	52	0.0337	0.0337	NUM
ejpam-3301	198	53	0.0337	0.0337	NUM
ejpam-3301	198	54	−0.2740	−0.2740	NOUN
ejpam-3301	198	55	0	0	NUM
ejpam-3301	198	56	0	0	NUM
ejpam-3301	199	1	0.0226	0.0226	NUM
ejpam-3301	199	2	0.0226	0.0226	NUM
ejpam-3301	199	3	−0.1840	−0.1840	NOUN
ejpam-3301	199	4			NOUN
ejpam-3301	199	5	.	.	PUNCT
ejpam-3301	200	1	the	the	DET
ejpam-3301	200	2	‖℘̂‖2	‖℘̂‖2	NOUN
ejpam-3301	200	3	=	=	SYM
ejpam-3301	200	4	0.4354	0.4354	NUM
ejpam-3301	200	5	.	.	PUNCT
ejpam-3301	201	1	the	the	DET
ejpam-3301	201	2	computed	compute	VERB
ejpam-3301	201	3	upper	upper	ADJ
ejpam-3301	201	4	bound	bind	VERB
ejpam-3301	201	5	is	be	AUX
ejpam-3301	201	6	µupperpd	µupperpd	ADJ
ejpam-3301	201	7	=	=	SYM
ejpam-3301	201	8	2.2966	2.2966	NUM
ejpam-3301	201	9	.	.	PUNCT
ejpam-3301	202	1	the	the	DET
ejpam-3301	202	2	same	same	ADJ
ejpam-3301	202	3	lower	low	ADJ
ejpam-3301	202	4	bound	bind	VERB
ejpam-3301	202	5	is	be	AUX
ejpam-3301	202	6	obtained	obtain	VERB
ejpam-3301	202	7	,	,	PUNCT
ejpam-3301	202	8	that	that	ADV
ejpam-3301	202	9	is	is	ADV
ejpam-3301	202	10	,	,	PUNCT
ejpam-3301	202	11	µlowerpd	µlowerpd	NOUN
ejpam-3301	202	12	=	=	SYM
ejpam-3301	202	13	2.2966	2.2966	NUM
ejpam-3301	202	14	.	.	PUNCT
ejpam-3301	203	1	by	by	ADP
ejpam-3301	203	2	using	use	VERB
ejpam-3301	203	3	algorithm	algorithm	NOUN
ejpam-3301	203	4	[	[	X
ejpam-3301	203	5	11	11	NUM
ejpam-3301	203	6	]	]	PUNCT
ejpam-3301	203	7	,	,	PUNCT
ejpam-3301	203	8	the	the	DET
ejpam-3301	203	9	perturbation	perturbation	NOUN
ejpam-3301	203	10	structure	structure	NOUN
ejpam-3301	203	11	ε∗℘∗	ε∗℘∗	ADV
ejpam-3301	203	12	is	be	AUX
ejpam-3301	203	13	obtained	obtain	VERB
ejpam-3301	203	14	as	as	ADP
ejpam-3301	203	15	:	:	PUNCT
ejpam-3301	203	16	℘∗	℘∗	PROPN
ejpam-3301	203	17	=	=	NOUN
ejpam-3301	203	18			NOUN
ejpam-3301	203	19	1.0000	1.0000	NUM
ejpam-3301	203	20	0	0	NUM
ejpam-3301	203	21	0	0	NUM
ejpam-3301	203	22	0	0	NUM
ejpam-3301	203	23	0	0	NUM
ejpam-3301	203	24	0	0	NUM
ejpam-3301	203	25	1.0000	1.0000	NUM
ejpam-3301	203	26	0	0	NUM
ejpam-3301	203	27	0	0	NUM
ejpam-3301	203	28	0	0	NUM
ejpam-3301	203	29	0	0	NUM
ejpam-3301	203	30	0	0	NUM
ejpam-3301	203	31	0.0773	0.0773	NUM
ejpam-3301	203	32	0.0774	0.0774	NUM
ejpam-3301	203	33	−0.6293	−0.6293	NOUN
ejpam-3301	203	34	0	0	NUM
ejpam-3301	203	35	0	0	NUM
ejpam-3301	203	36	0.0773	0.0773	NUM
ejpam-3301	203	37	0.0774	0.0774	NUM
ejpam-3301	203	38	−0.6293	−0.6293	NOUN
ejpam-3301	203	39	0	0	NUM
ejpam-3301	203	40	0	0	NUM
ejpam-3301	203	41	0.0519	0.0519	NUM
ejpam-3301	203	42	0.0520	0.0520	NUM
ejpam-3301	203	43	−0.4227	−0.4227	PROPN
ejpam-3301	203	44			NOUN
ejpam-3301	203	45	.	.	PUNCT
ejpam-3301	204	1	in	in	ADP
ejpam-3301	204	2	this	this	DET
ejpam-3301	204	3	case	case	NOUN
ejpam-3301	204	4	,	,	PUNCT
ejpam-3301	204	5	ε∗	ε∗	PROPN
ejpam-3301	204	6	=	=	SYM
ejpam-3301	204	7	1.0000	1.0000	NUM
ejpam-3301	204	8	and	and	CCONJ
ejpam-3301	204	9	‖℘∗‖2	‖℘∗‖2	PROPN
ejpam-3301	204	10	=	=	PROPN
ejpam-3301	204	11	2.2966	2.2966	NUM
ejpam-3301	204	12	.	.	PUNCT
ejpam-3301	205	1	the	the	DET
ejpam-3301	205	2	obtained	obtain	VERB
ejpam-3301	205	3	lower	lower	ADV
ejpam-3301	205	4	bound	bind	VERB
ejpam-3301	205	5	is	be	AUX
ejpam-3301	205	6	as	as	ADV
ejpam-3301	205	7	µlowernew	µlowernew	ADJ
ejpam-3301	205	8	=	=	SYM
ejpam-3301	205	9	0.4354	0.4354	NUM
ejpam-3301	205	10	.	.	PUNCT
ejpam-3301	206	1	in	in	ADP
ejpam-3301	206	2	the	the	DET
ejpam-3301	206	3	following	follow	VERB
ejpam-3301	206	4	figure	figure	NOUN
ejpam-3301	206	5	3	3	NUM
ejpam-3301	206	6	,	,	PUNCT
ejpam-3301	206	7	we	we	PRON
ejpam-3301	206	8	give	give	VERB
ejpam-3301	206	9	the	the	DET
ejpam-3301	206	10	comparison	comparison	NOUN
ejpam-3301	206	11	of	of	ADP
ejpam-3301	206	12	lower	low	ADJ
ejpam-3301	206	13	bounds	bound	NOUN
ejpam-3301	206	14	of	of	ADP
ejpam-3301	206	15	structured	structured	ADJ
ejpam-3301	206	16	singular	singular	ADJ
ejpam-3301	206	17	values	value	NOUN
ejpam-3301	206	18	approximated	approximate	VERB
ejpam-3301	206	19	by	by	ADP
ejpam-3301	206	20	our	our	PRON
ejpam-3301	206	21	new	new	ADJ
ejpam-3301	206	22	algorithm	algorithm	NOUN
ejpam-3301	206	23	with	with	ADP
ejpam-3301	206	24	the	the	DET
ejpam-3301	206	25	lower	low	ADJ
ejpam-3301	206	26	and	and	CCONJ
ejpam-3301	206	27	upper	upper	ADJ
ejpam-3301	206	28	bounds	bound	NOUN
ejpam-3301	206	29	approximated	approximate	VERB
ejpam-3301	206	30	by	by	ADP
ejpam-3301	206	31	matlab	matlab	PROPN
ejpam-3301	206	32	function	function	NOUN
ejpam-3301	206	33	mussv	mussv	NOUN
ejpam-3301	206	34	for	for	ADP
ejpam-3301	206	35	matrix	matrix	NOUN
ejpam-3301	206	36	valued	value	VERB
ejpam-3301	206	37	function	function	NOUN
ejpam-3301	206	38	b3(w	b3(w	PROPN
ejpam-3301	206	39	)	)	PUNCT
ejpam-3301	206	40	for	for	ADP
ejpam-3301	206	41	w=1:6	w=1:6	PRON
ejpam-3301	206	42	,	,	PUNCT
ejpam-3301	206	43	where	where	SCONJ
ejpam-3301	206	44	w	w	PROPN
ejpam-3301	206	45	∈	∈	PROPN
ejpam-3301	206	46	ω	ω	PROPN
ejpam-3301	206	47	and	and	CCONJ
ejpam-3301	206	48	ω	ω	PROPN
ejpam-3301	206	49	represents	represent	VERB
ejpam-3301	206	50	the	the	DET
ejpam-3301	206	51	frequency	frequency	NOUN
ejpam-3301	206	52	range	range	NOUN
ejpam-3301	206	53	in	in	ADP
ejpam-3301	206	54	r+	r+	X
ejpam-3301	206	55	.	.	PUNCT
ejpam-3301	207	1	frequency	frequency	PROPN
ejpam-3301	207	2	response	response	NOUN
ejpam-3301	207	3	w	w	NOUN
ejpam-3301	207	4	is	be	AUX
ejpam-3301	207	5	measure	measure	NOUN
ejpam-3301	207	6	of	of	ADP
ejpam-3301	207	7	output	output	NOUN
ejpam-3301	207	8	of	of	ADP
ejpam-3301	207	9	(	(	PUNCT
ejpam-3301	207	10	b3	b3	PROPN
ejpam-3301	207	11	−	−	PROPN
ejpam-3301	207	12	℘	℘	PROPN
ejpam-3301	207	13	)	)	PUNCT
ejpam-3301	207	14	system	system	NOUN
ejpam-3301	207	15	.	.	PUNCT
ejpam-3301	208	1	example	example	NOUN
ejpam-3301	209	1	4	4	NUM
ejpam-3301	209	2	.	.	X
ejpam-3301	209	3	consider	consider	VERB
ejpam-3301	209	4	two	two	NUM
ejpam-3301	209	5	dimensional	dimensional	ADJ
ejpam-3301	209	6	real	real	ADJ
ejpam-3301	209	7	matrix	matrix	NOUN
ejpam-3301	209	8	a4	a4	NOUN
ejpam-3301	209	9	.	.	PUNCT
ejpam-3301	210	1	a4	a4	NOUN
ejpam-3301	211	1	=	=	NOUN
ejpam-3301	211	2			NOUN
ejpam-3301	211	3	0	0	NUM
ejpam-3301	211	4	0	0	NUM
ejpam-3301	211	5	1	1	NUM
ejpam-3301	211	6	0	0	NUM
ejpam-3301	211	7	0	0	NUM
ejpam-3301	211	8	0	0	NUM
ejpam-3301	211	9	0	0	NUM
ejpam-3301	211	10	0	0	NUM
ejpam-3301	211	11	1	1	NUM
ejpam-3301	211	12	0	0	NUM
ejpam-3301	211	13	1	1	NUM
ejpam-3301	211	14	0	0	NUM
ejpam-3301	211	15	0	0	NUM
ejpam-3301	211	16	0	0	NUM
ejpam-3301	211	17	0	0	NUM
ejpam-3301	211	18	0	0	NUM
ejpam-3301	211	19	1	1	NUM
ejpam-3301	211	20	0	0	NUM
ejpam-3301	211	21	0	0	NUM
ejpam-3301	211	22	0	0	NUM
ejpam-3301	211	23	−1	−1	NOUN
ejpam-3301	211	24	−1	−1	NOUN
ejpam-3301	211	25	−1	−1	NOUN
ejpam-3301	211	26	−1	−1	NOUN
ejpam-3301	211	27	−1	−1	NOUN
ejpam-3301	211	28			NOUN
ejpam-3301	211	29	.	.	PUNCT
ejpam-3301	212	1	the	the	DET
ejpam-3301	212	2	set	set	NOUN
ejpam-3301	212	3	of	of	ADP
ejpam-3301	212	4	block	block	NOUN
ejpam-3301	212	5	diagonal	diagonal	ADJ
ejpam-3301	212	6	matrices	matrix	NOUN
ejpam-3301	212	7	is	be	AUX
ejpam-3301	212	8	taken	take	VERB
ejpam-3301	212	9	as	as	ADP
ejpam-3301	212	10	:	:	PUNCT
ejpam-3301	212	11	θb′	θb′	X
ejpam-3301	212	12	=	=	SYM
ejpam-3301	212	13	{	{	PUNCT
ejpam-3301	212	14	diag(δ1i1	diag(δ1i1	PROPN
ejpam-3301	212	15	,	,	PUNCT
ejpam-3301	212	16	δ2i1	δ2i1	NOUN
ejpam-3301	212	17	,	,	PUNCT
ejpam-3301	212	18	℘1	℘1	NOUN
ejpam-3301	212	19	)	)	PUNCT
ejpam-3301	212	20	:	:	PUNCT
ejpam-3301	212	21	δ1	δ1	NOUN
ejpam-3301	212	22	,	,	PUNCT
ejpam-3301	212	23	δ2	δ2	VERB
ejpam-3301	212	24	∈	∈	PROPN
ejpam-3301	212	25	r	r	NOUN
ejpam-3301	212	26	,	,	PUNCT
ejpam-3301	212	27	℘1	℘1	VERB
ejpam-3301	212	28	∈	∈	PROPN
ejpam-3301	212	29	c3,3	c3,3	PROPN
ejpam-3301	212	30	}	}	PUNCT
ejpam-3301	212	31	.	.	PUNCT
ejpam-3301	213	1	the	the	DET
ejpam-3301	213	2	admissible	admissible	ADJ
ejpam-3301	213	3	perturbation	perturbation	NOUN
ejpam-3301	213	4	structure	structure	NOUN
ejpam-3301	213	5	℘̂	℘̂	VERB
ejpam-3301	213	6	obtained	obtain	VERB
ejpam-3301	213	7	by	by	ADP
ejpam-3301	213	8	using	use	VERB
ejpam-3301	213	9	matlab	matlab	PROPN
ejpam-3301	213	10	routine	routine	PROPN
ejpam-3301	213	11	mussv	mussv	PROPN
ejpam-3301	213	12	is	be	AUX
ejpam-3301	213	13	:	:	PUNCT
ejpam-3301	213	14	℘̂	℘̂	ADJ
ejpam-3301	213	15	=	=	PUNCT
ejpam-3301	213	16			NOUN
ejpam-3301	213	17	0.4354	0.4354	NUM
ejpam-3301	213	18	0	0	NUM
ejpam-3301	213	19	0	0	NUM
ejpam-3301	213	20	0	0	NUM
ejpam-3301	213	21	0	0	NUM
ejpam-3301	213	22	0	0	NUM
ejpam-3301	213	23	0.4354	0.4354	NUM
ejpam-3301	213	24	0	0	NUM
ejpam-3301	213	25	0	0	NUM
ejpam-3301	213	26	0	0	NUM
ejpam-3301	213	27	0	0	NUM
ejpam-3301	213	28	0	0	NUM
ejpam-3301	213	29	0.0337	0.0337	NUM
ejpam-3301	213	30	0.0337	0.0337	NUM
ejpam-3301	213	31	−0.2740	−0.2740	NOUN
ejpam-3301	213	32	0	0	NUM
ejpam-3301	213	33	0	0	NUM
ejpam-3301	213	34	0.0337	0.0337	NUM
ejpam-3301	213	35	0.0337	0.0337	NUM
ejpam-3301	213	36	−0.2740	−0.2740	NOUN
ejpam-3301	213	37	0	0	NUM
ejpam-3301	213	38	0	0	NUM
ejpam-3301	213	39	0.0226	0.0226	NUM
ejpam-3301	213	40	0.0226	0.0226	NUM
ejpam-3301	213	41	−0.1840	−0.1840	NOUN
ejpam-3301	213	42			NOUN
ejpam-3301	213	43	.	.	PUNCT
ejpam-3301	214	1	references	reference	NOUN
ejpam-3301	214	2	853	853	NUM
ejpam-3301	214	3	the	the	DET
ejpam-3301	214	4	‖℘̂‖2	‖℘̂‖2	NOUN
ejpam-3301	214	5	=	=	SYM
ejpam-3301	214	6	0.4354	0.4354	NUM
ejpam-3301	214	7	.	.	PUNCT
ejpam-3301	215	1	the	the	DET
ejpam-3301	215	2	computed	compute	VERB
ejpam-3301	215	3	upper	upper	ADJ
ejpam-3301	215	4	bound	bind	VERB
ejpam-3301	215	5	is	be	AUX
ejpam-3301	215	6	µupperpd	µupperpd	ADJ
ejpam-3301	215	7	=	=	SYM
ejpam-3301	215	8	2.2966	2.2966	NUM
ejpam-3301	215	9	.	.	PUNCT
ejpam-3301	216	1	the	the	DET
ejpam-3301	216	2	same	same	ADJ
ejpam-3301	216	3	lower	low	ADJ
ejpam-3301	216	4	bound	bind	VERB
ejpam-3301	216	5	is	be	AUX
ejpam-3301	216	6	obtained	obtain	VERB
ejpam-3301	216	7	,	,	PUNCT
ejpam-3301	216	8	that	that	ADV
ejpam-3301	216	9	is	is	ADV
ejpam-3301	216	10	,	,	PUNCT
ejpam-3301	216	11	µlowerpd	µlowerpd	NOUN
ejpam-3301	216	12	=	=	SYM
ejpam-3301	216	13	2.2966	2.2966	NUM
ejpam-3301	216	14	.	.	PUNCT
ejpam-3301	217	1	by	by	ADP
ejpam-3301	217	2	using	use	VERB
ejpam-3301	217	3	algorithm	algorithm	NOUN
ejpam-3301	217	4	[	[	X
ejpam-3301	217	5	11	11	NUM
ejpam-3301	217	6	]	]	PUNCT
ejpam-3301	217	7	,	,	PUNCT
ejpam-3301	217	8	the	the	DET
ejpam-3301	217	9	perturbation	perturbation	NOUN
ejpam-3301	217	10	structure	structure	NOUN
ejpam-3301	217	11	ε∗℘∗	ε∗℘∗	ADV
ejpam-3301	217	12	is	be	AUX
ejpam-3301	217	13	obtained	obtain	VERB
ejpam-3301	217	14	as	as	ADP
ejpam-3301	217	15	:	:	PUNCT
ejpam-3301	217	16	℘∗	℘∗	PROPN
ejpam-3301	217	17	=	=	NOUN
ejpam-3301	217	18			NOUN
ejpam-3301	217	19	1.0000	1.0000	NUM
ejpam-3301	217	20	0	0	NUM
ejpam-3301	217	21	0	0	NUM
ejpam-3301	217	22	0	0	NUM
ejpam-3301	217	23	0	0	NUM
ejpam-3301	217	24	0	0	NUM
ejpam-3301	217	25	1.0000	1.0000	NUM
ejpam-3301	217	26	0	0	NUM
ejpam-3301	217	27	0	0	NUM
ejpam-3301	217	28	0	0	NUM
ejpam-3301	217	29	0	0	NUM
ejpam-3301	217	30	0	0	NUM
ejpam-3301	217	31	0.0773	0.0773	NUM
ejpam-3301	217	32	0.0774	0.0774	NUM
ejpam-3301	217	33	−0.6293	−0.6293	NOUN
ejpam-3301	217	34	0	0	NUM
ejpam-3301	217	35	0	0	NUM
ejpam-3301	217	36	0.0773	0.0773	NUM
ejpam-3301	217	37	0.0774	0.0774	NUM
ejpam-3301	217	38	−0.6293	−0.6293	NOUN
ejpam-3301	217	39	0	0	NUM
ejpam-3301	217	40	0	0	NUM
ejpam-3301	217	41	0.0519	0.0519	NUM
ejpam-3301	217	42	0.0520	0.0520	NUM
ejpam-3301	217	43	−0.4227	−0.4227	PROPN
ejpam-3301	217	44			NOUN
ejpam-3301	217	45	.	.	PUNCT
ejpam-3301	218	1	in	in	ADP
ejpam-3301	218	2	this	this	DET
ejpam-3301	218	3	case	case	NOUN
ejpam-3301	218	4	,	,	PUNCT
ejpam-3301	218	5	ε∗	ε∗	PROPN
ejpam-3301	218	6	=	=	SYM
ejpam-3301	218	7	1.0000	1.0000	NUM
ejpam-3301	218	8	and	and	CCONJ
ejpam-3301	218	9	‖℘∗‖2	‖℘∗‖2	PROPN
ejpam-3301	218	10	=	=	PROPN
ejpam-3301	218	11	2.2966	2.2966	NUM
ejpam-3301	218	12	.	.	PUNCT
ejpam-3301	219	1	the	the	DET
ejpam-3301	219	2	obtained	obtain	VERB
ejpam-3301	219	3	lower	lower	ADV
ejpam-3301	219	4	bound	bind	VERB
ejpam-3301	219	5	is	be	AUX
ejpam-3301	219	6	as	as	ADV
ejpam-3301	219	7	µlowernew	µlowernew	ADJ
ejpam-3301	219	8	=	=	SYM
ejpam-3301	219	9	0.4354	0.4354	NUM
ejpam-3301	219	10	.	.	PUNCT
ejpam-3301	220	1	in	in	ADP
ejpam-3301	220	2	the	the	DET
ejpam-3301	220	3	following	follow	VERB
ejpam-3301	220	4	figure	figure	NOUN
ejpam-3301	220	5	4	4	NUM
ejpam-3301	220	6	,	,	PUNCT
ejpam-3301	220	7	we	we	PRON
ejpam-3301	220	8	give	give	VERB
ejpam-3301	220	9	the	the	DET
ejpam-3301	220	10	comparison	comparison	NOUN
ejpam-3301	220	11	of	of	ADP
ejpam-3301	220	12	lower	low	ADJ
ejpam-3301	220	13	bounds	bound	NOUN
ejpam-3301	220	14	of	of	ADP
ejpam-3301	220	15	structured	structured	ADJ
ejpam-3301	220	16	singular	singular	ADJ
ejpam-3301	220	17	values	value	NOUN
ejpam-3301	220	18	approximated	approximate	VERB
ejpam-3301	220	19	by	by	ADP
ejpam-3301	220	20	our	our	PRON
ejpam-3301	220	21	new	new	ADJ
ejpam-3301	220	22	algorithm	algorithm	NOUN
ejpam-3301	220	23	with	with	ADP
ejpam-3301	220	24	the	the	DET
ejpam-3301	220	25	lower	low	ADJ
ejpam-3301	220	26	and	and	CCONJ
ejpam-3301	220	27	upper	upper	ADJ
ejpam-3301	220	28	bounds	bound	NOUN
ejpam-3301	220	29	approximated	approximate	VERB
ejpam-3301	220	30	by	by	ADP
ejpam-3301	220	31	matlab	matlab	PROPN
ejpam-3301	220	32	function	function	NOUN
ejpam-3301	220	33	mussv	mussv	NOUN
ejpam-3301	220	34	for	for	ADP
ejpam-3301	220	35	matrix	matrix	NOUN
ejpam-3301	220	36	valued	value	VERB
ejpam-3301	220	37	function	function	NOUN
ejpam-3301	220	38	b4(w	b4(w	PROPN
ejpam-3301	220	39	)	)	PUNCT
ejpam-3301	220	40	for	for	ADP
ejpam-3301	220	41	w=1:2	w=1:2	NOUN
ejpam-3301	220	42	,	,	PUNCT
ejpam-3301	220	43	where	where	SCONJ
ejpam-3301	220	44	w	w	PROPN
ejpam-3301	220	45	∈	∈	PROPN
ejpam-3301	220	46	ω	ω	PROPN
ejpam-3301	220	47	and	and	CCONJ
ejpam-3301	220	48	ω	ω	PROPN
ejpam-3301	220	49	represents	represent	VERB
ejpam-3301	220	50	the	the	DET
ejpam-3301	220	51	frequency	frequency	NOUN
ejpam-3301	220	52	range	range	NOUN
ejpam-3301	220	53	in	in	ADP
ejpam-3301	220	54	r+	r+	X
ejpam-3301	220	55	.	.	PUNCT
ejpam-3301	221	1	frequency	frequency	PROPN
ejpam-3301	221	2	response	response	NOUN
ejpam-3301	221	3	w	w	NOUN
ejpam-3301	221	4	is	be	AUX
ejpam-3301	221	5	measure	measure	NOUN
ejpam-3301	221	6	of	of	ADP
ejpam-3301	221	7	output	output	NOUN
ejpam-3301	221	8	of	of	ADP
ejpam-3301	221	9	(	(	PUNCT
ejpam-3301	221	10	b4	b4	NOUN
ejpam-3301	221	11	−	−	PROPN
ejpam-3301	221	12	℘	℘	PROPN
ejpam-3301	221	13	)	)	PUNCT
ejpam-3301	221	14	system	system	NOUN
ejpam-3301	221	15	.	.	PUNCT
ejpam-3301	222	1	in	in	ADP
ejpam-3301	222	2	the	the	DET
ejpam-3301	222	3	following	follow	VERB
ejpam-3301	222	4	figures	figure	NOUN
ejpam-3301	222	5	[	[	X
ejpam-3301	222	6	5	5	NUM
ejpam-3301	222	7	-	-	SYM
ejpam-3301	222	8	14	14	NUM
ejpam-3301	222	9	]	]	PUNCT
ejpam-3301	222	10	,	,	PUNCT
ejpam-3301	222	11	we	we	PRON
ejpam-3301	222	12	give	give	VERB
ejpam-3301	222	13	the	the	DET
ejpam-3301	222	14	comparison	comparison	NOUN
ejpam-3301	222	15	of	of	ADP
ejpam-3301	222	16	lower	low	ADJ
ejpam-3301	222	17	bounds	bound	NOUN
ejpam-3301	222	18	of	of	ADP
ejpam-3301	222	19	structured	structured	ADJ
ejpam-3301	222	20	singular	singular	ADJ
ejpam-3301	222	21	values	value	NOUN
ejpam-3301	222	22	approximated	approximate	VERB
ejpam-3301	222	23	by	by	ADP
ejpam-3301	222	24	our	our	PRON
ejpam-3301	222	25	new	new	ADJ
ejpam-3301	222	26	algorithm	algorithm	NOUN
ejpam-3301	222	27	with	with	ADP
ejpam-3301	222	28	the	the	DET
ejpam-3301	222	29	lower	low	ADJ
ejpam-3301	222	30	and	and	CCONJ
ejpam-3301	222	31	upper	upper	ADJ
ejpam-3301	222	32	bounds	bound	NOUN
ejpam-3301	222	33	approximated	approximate	VERB
ejpam-3301	222	34	by	by	ADP
ejpam-3301	222	35	matlab	matlab	PROPN
ejpam-3301	222	36	function	function	NOUN
ejpam-3301	222	37	mussv	mussv	NOUN
ejpam-3301	222	38	for	for	ADP
ejpam-3301	222	39	the	the	DET
ejpam-3301	222	40	various	various	ADJ
ejpam-3301	222	41	matrix	matrix	NOUN
ejpam-3301	222	42	valued	value	VERB
ejpam-3301	222	43	functions	function	NOUN
ejpam-3301	222	44	.	.	PUNCT
ejpam-3301	223	1	6	6	NUM
ejpam-3301	223	2	.	.	X
ejpam-3301	223	3	conclusion	conclusion	NOUN
ejpam-3301	223	4	in	in	ADP
ejpam-3301	223	5	this	this	DET
ejpam-3301	223	6	article	article	NOUN
ejpam-3301	223	7	we	we	PRON
ejpam-3301	223	8	have	have	AUX
ejpam-3301	223	9	considered	consider	VERB
ejpam-3301	223	10	the	the	DET
ejpam-3301	223	11	numerical	numerical	ADJ
ejpam-3301	223	12	approximation	approximation	NOUN
ejpam-3301	223	13	of	of	ADP
ejpam-3301	223	14	µ-values	µ-value	NOUN
ejpam-3301	223	15	for	for	ADP
ejpam-3301	223	16	the	the	DET
ejpam-3301	223	17	matrix	matrix	NOUN
ejpam-3301	223	18	representations	representation	NOUN
ejpam-3301	223	19	of	of	ADP
ejpam-3301	223	20	finite	finite	ADJ
ejpam-3301	223	21	symmetric	symmetric	ADJ
ejpam-3301	223	22	groups	group	NOUN
ejpam-3301	223	23	sn	sn	INTJ
ejpam-3301	223	24	over	over	ADP
ejpam-3301	223	25	the	the	DET
ejpam-3301	223	26	filed	file	VERB
ejpam-3301	223	27	of	of	ADP
ejpam-3301	223	28	complex	complex	ADJ
ejpam-3301	223	29	numbers	number	NOUN
ejpam-3301	223	30	by	by	ADP
ejpam-3301	223	31	using	use	VERB
ejpam-3301	223	32	well	well	ADV
ejpam-3301	223	33	-	-	PUNCT
ejpam-3301	223	34	known	know	VERB
ejpam-3301	223	35	matlab	matlab	NOUN
ejpam-3301	223	36	function	function	NOUN
ejpam-3301	223	37	mussv	mussv	NOUN
ejpam-3301	223	38	and	and	CCONJ
ejpam-3301	223	39	our	our	PRON
ejpam-3301	223	40	algorithm	algorithm	NOUN
ejpam-3301	224	1	[	[	X
ejpam-3301	224	2	11	11	NUM
ejpam-3301	224	3	]	]	PUNCT
ejpam-3301	224	4	.	.	PUNCT
ejpam-3301	225	1	the	the	DET
ejpam-3301	225	2	experimental	experimental	ADJ
ejpam-3301	225	3	results	result	NOUN
ejpam-3301	225	4	indicates	indicate	VERB
ejpam-3301	225	5	the	the	DET
ejpam-3301	225	6	different	different	ADJ
ejpam-3301	225	7	behaviors	behavior	NOUN
ejpam-3301	225	8	of	of	ADP
ejpam-3301	225	9	lower	low	ADJ
ejpam-3301	225	10	bounds	bound	NOUN
ejpam-3301	225	11	of	of	ADP
ejpam-3301	225	12	µ-values	µ-value	NOUN
ejpam-3301	225	13	with	with	ADP
ejpam-3301	225	14	once	once	ADV
ejpam-3301	225	15	computed	compute	VERB
ejpam-3301	225	16	by	by	ADP
ejpam-3301	225	17	mussv	mussv	NOUN
ejpam-3301	225	18	and	and	CCONJ
ejpam-3301	225	19	our	our	PRON
ejpam-3301	225	20	algorithm	algorithm	NOUN
ejpam-3301	225	21	.	.	PUNCT
ejpam-3301	226	1	references	reference	NOUN
ejpam-3301	226	2	[	[	X
ejpam-3301	226	3	1	1	NUM
ejpam-3301	226	4	]	]	PUNCT
ejpam-3301	226	5	bernhardsson	bernhardsson	NOUN
ejpam-3301	226	6	,	,	PUNCT
ejpam-3301	226	7	bo	bo	PROPN
ejpam-3301	226	8	and	and	CCONJ
ejpam-3301	226	9	rantzer	rantzer	VERB
ejpam-3301	226	10	,	,	PUNCT
ejpam-3301	226	11	anders	ander	NOUN
ejpam-3301	226	12	and	and	CCONJ
ejpam-3301	226	13	qiu	qiu	PROPN
ejpam-3301	226	14	,	,	PUNCT
ejpam-3301	226	15	li	li	PROPN
ejpam-3301	226	16	.	.	PROPN
ejpam-3301	226	17	real	real	ADJ
ejpam-3301	226	18	perturbation	perturbation	NOUN
ejpam-3301	226	19	values	value	NOUN
ejpam-3301	226	20	and	and	CCONJ
ejpam-3301	226	21	real	real	ADJ
ejpam-3301	226	22	quadratic	quadratic	ADJ
ejpam-3301	226	23	forms	form	NOUN
ejpam-3301	226	24	in	in	ADP
ejpam-3301	226	25	a	a	DET
ejpam-3301	226	26	complex	complex	ADJ
ejpam-3301	226	27	vector	vector	NOUN
ejpam-3301	226	28	space	space	NOUN
ejpam-3301	226	29	.	.	PUNCT
ejpam-3301	227	1	linear	linear	ADJ
ejpam-3301	227	2	algebra	algebra	NOUN
ejpam-3301	227	3	and	and	CCONJ
ejpam-3301	227	4	its	its	PRON
ejpam-3301	227	5	applications	application	NOUN
ejpam-3301	227	6	,	,	PUNCT
ejpam-3301	227	7	volume	volume	NOUN
ejpam-3301	227	8	1	1	NUM
ejpam-3301	227	9	:	:	PUNCT
ejpam-3301	227	10	131	131	NUM
ejpam-3301	227	11	-	-	SYM
ejpam-3301	227	12	154	154	NUM
ejpam-3301	227	13	,	,	PUNCT
ejpam-3301	227	14	1994	1994	NUM
ejpam-3301	227	15	.	.	PUNCT
ejpam-3301	228	1	[	[	X
ejpam-3301	228	2	2	2	NUM
ejpam-3301	228	3	]	]	PUNCT
ejpam-3301	228	4	braatz	braatz	PROPN
ejpam-3301	228	5	,	,	PUNCT
ejpam-3301	228	6	richard	richard	PROPN
ejpam-3301	228	7	p	p	PROPN
ejpam-3301	228	8	and	and	CCONJ
ejpam-3301	228	9	young	young	ADJ
ejpam-3301	228	10	,	,	PUNCT
ejpam-3301	228	11	peter	peter	PROPN
ejpam-3301	228	12	m	m	PROPN
ejpam-3301	228	13	and	and	CCONJ
ejpam-3301	228	14	doyle	doyle	PROPN
ejpam-3301	228	15	,	,	PUNCT
ejpam-3301	228	16	john	john	PROPN
ejpam-3301	228	17	c	c	PROPN
ejpam-3301	228	18	and	and	CCONJ
ejpam-3301	228	19	morari	morari	PROPN
ejpam-3301	228	20	,	,	PUNCT
ejpam-3301	228	21	manfred	manfre	VERB
ejpam-3301	228	22	.	.	PUNCT
ejpam-3301	229	1	computational	computational	ADJ
ejpam-3301	229	2	complexity	complexity	NOUN
ejpam-3301	229	3	of	of	ADP
ejpam-3301	229	4	µ	µ	DET
ejpam-3301	229	5	calculation	calculation	NOUN
ejpam-3301	229	6	.	.	PUNCT
ejpam-3301	230	1	automatic	automatic	ADJ
ejpam-3301	230	2	control	control	NOUN
ejpam-3301	230	3	,	,	PUNCT
ejpam-3301	230	4	ieee	ieee	NOUN
ejpam-3301	230	5	transactions	transaction	NOUN
ejpam-3301	230	6	on	on	ADP
ejpam-3301	230	7	,	,	PUNCT
ejpam-3301	230	8	volume	volume	NOUN
ejpam-3301	230	9	39	39	NUM
ejpam-3301	230	10	:	:	PUNCT
ejpam-3301	230	11	1000	1000	NUM
ejpam-3301	230	12	-	-	SYM
ejpam-3301	230	13	1002	1002	NUM
ejpam-3301	230	14	,	,	PUNCT
ejpam-3301	230	15	1994	1994	NUM
ejpam-3301	230	16	.	.	PUNCT
ejpam-3301	231	1	[	[	X
ejpam-3301	231	2	3	3	NUM
ejpam-3301	231	3	]	]	X
ejpam-3301	231	4	chen	chen	PROPN
ejpam-3301	231	5	,	,	PUNCT
ejpam-3301	231	6	jie	jie	PROPN
ejpam-3301	231	7	and	and	CCONJ
ejpam-3301	231	8	fan	fan	PROPN
ejpam-3301	231	9	,	,	PUNCT
ejpam-3301	231	10	michael	michael	PROPN
ejpam-3301	231	11	kh	kh	PROPN
ejpam-3301	231	12	and	and	CCONJ
ejpam-3301	231	13	nett	nett	PROPN
ejpam-3301	231	14	,	,	PUNCT
ejpam-3301	231	15	carl	carl	PROPN
ejpam-3301	231	16	n.	n.	PROPN
ejpam-3301	231	17	structured	structure	VERB
ejpam-3301	231	18	singular	singular	ADJ
ejpam-3301	231	19	values	value	NOUN
ejpam-3301	231	20	with	with	ADP
ejpam-3301	231	21	nondiagonal	nondiagonal	ADJ
ejpam-3301	231	22	structures	structure	NOUN
ejpam-3301	231	23	.	.	PUNCT
ejpam-3301	232	1	i.	i.	PROPN
ejpam-3301	232	2	characterizations	characterization	NOUN
ejpam-3301	232	3	.	.	PUNCT
ejpam-3301	233	1	automatic	automatic	ADJ
ejpam-3301	233	2	control	control	NOUN
ejpam-3301	233	3	,	,	PUNCT
ejpam-3301	233	4	ieee	ieee	NOUN
ejpam-3301	233	5	transactions	transaction	NOUN
ejpam-3301	233	6	on	on	ADP
ejpam-3301	233	7	,	,	PUNCT
ejpam-3301	233	8	volume	volume	NOUN
ejpam-3301	233	9	41	41	NUM
ejpam-3301	233	10	:	:	PUNCT
ejpam-3301	233	11	1507	1507	NUM
ejpam-3301	233	12	-	-	SYM
ejpam-3301	233	13	1511	1511	NUM
ejpam-3301	233	14	,	,	PUNCT
ejpam-3301	233	15	1996	1996	NUM
ejpam-3301	233	16	.	.	PUNCT
ejpam-3301	234	1	appendix	appendix	VERB
ejpam-3301	234	2	854	854	NUM
ejpam-3301	234	3	[	[	SYM
ejpam-3301	234	4	4	4	NUM
ejpam-3301	234	5	]	]	X
ejpam-3301	234	6	fan	fan	PROPN
ejpam-3301	234	7	,	,	PUNCT
ejpam-3301	234	8	michael	michael	PROPN
ejpam-3301	234	9	kh	kh	PROPN
ejpam-3301	234	10	and	and	CCONJ
ejpam-3301	234	11	tits	tit	NOUN
ejpam-3301	234	12	,	,	PUNCT
ejpam-3301	234	13	andré	andré	ADJ
ejpam-3301	234	14	l	l	NOUN
ejpam-3301	234	15	and	and	CCONJ
ejpam-3301	234	16	doyle	doyle	NOUN
ejpam-3301	234	17	,	,	PUNCT
ejpam-3301	234	18	john	john	PROPN
ejpam-3301	234	19	c.	c.	PROPN
ejpam-3301	234	20	robustness	robustness	NOUN
ejpam-3301	234	21	in	in	ADP
ejpam-3301	234	22	the	the	DET
ejpam-3301	234	23	presence	presence	NOUN
ejpam-3301	234	24	of	of	ADP
ejpam-3301	234	25	mixed	mixed	ADJ
ejpam-3301	234	26	parametric	parametric	ADJ
ejpam-3301	234	27	uncertainty	uncertainty	NOUN
ejpam-3301	234	28	and	and	CCONJ
ejpam-3301	234	29	unmodeled	unmodeled	ADJ
ejpam-3301	234	30	dynamics	dynamic	NOUN
ejpam-3301	234	31	.	.	PUNCT
ejpam-3301	235	1	automatic	automatic	ADJ
ejpam-3301	235	2	control	control	NOUN
ejpam-3301	235	3	,	,	PUNCT
ejpam-3301	235	4	ieee	ieee	NOUN
ejpam-3301	235	5	transactions	transaction	NOUN
ejpam-3301	235	6	on	on	ADP
ejpam-3301	235	7	,	,	PUNCT
ejpam-3301	235	8	volume	volume	NOUN
ejpam-3301	235	9	36	36	NUM
ejpam-3301	235	10	:	:	PUNCT
ejpam-3301	235	11	25	25	NUM
ejpam-3301	235	12	-	-	SYM
ejpam-3301	235	13	38	38	NUM
ejpam-3301	235	14	,	,	PUNCT
ejpam-3301	235	15	1991	1991	NUM
ejpam-3301	235	16	.	.	PUNCT
ejpam-3301	236	1	[	[	X
ejpam-3301	236	2	5	5	NUM
ejpam-3301	236	3	]	]	PUNCT
ejpam-3301	236	4	hinrichsen	hinrichsen	NOUN
ejpam-3301	236	5	,	,	PUNCT
ejpam-3301	236	6	d	d	NOUN
ejpam-3301	236	7	and	and	CCONJ
ejpam-3301	236	8	pritchard	pritchard	PROPN
ejpam-3301	236	9	,	,	PUNCT
ejpam-3301	236	10	aj	aj	PROPN
ejpam-3301	236	11	.	.	PROPN
ejpam-3301	236	12	mathematical	mathematical	PROPN
ejpam-3301	236	13	systems	systems	PROPN
ejpam-3301	236	14	theory	theory	NOUN
ejpam-3301	237	1	i	i	PRON
ejpam-3301	237	2	,	,	PUNCT
ejpam-3301	237	3	vol	vol	NOUN
ejpam-3301	237	4	.	.	PROPN
ejpam-3301	237	5	48	48	NUM
ejpam-3301	237	6	of	of	ADP
ejpam-3301	237	7	texts	text	NOUN
ejpam-3301	237	8	in	in	ADP
ejpam-3301	237	9	applied	applied	ADJ
ejpam-3301	237	10	mathematics	mathematic	NOUN
ejpam-3301	237	11	.	.	PUNCT
ejpam-3301	238	1	springer	springer	NOUN
ejpam-3301	238	2	-	-	PUNCT
ejpam-3301	238	3	verlag	verlag	PROPN
ejpam-3301	238	4	,	,	PUNCT
ejpam-3301	238	5	berlin	berlin	PROPN
ejpam-3301	238	6	volume	volume	NOUN
ejpam-3301	238	7	48	48	NUM
ejpam-3301	238	8	:	:	SYM
ejpam-3301	238	9	2005	2005	NUM
ejpam-3301	238	10	.	.	PUNCT
ejpam-3301	239	1	[	[	X
ejpam-3301	239	2	6	6	NUM
ejpam-3301	239	3	]	]	SYM
ejpam-3301	239	4	karow	karow	PROPN
ejpam-3301	239	5	,	,	PUNCT
ejpam-3301	239	6	michael	michael	PROPN
ejpam-3301	239	7	and	and	CCONJ
ejpam-3301	239	8	kokiopoulou	kokiopoulou	PROPN
ejpam-3301	239	9	,	,	PUNCT
ejpam-3301	239	10	effrosyni	effrosyni	NOUN
ejpam-3301	239	11	and	and	CCONJ
ejpam-3301	239	12	kressner	kressner	NOUN
ejpam-3301	239	13	,	,	PUNCT
ejpam-3301	239	14	daniel	daniel	PROPN
ejpam-3301	239	15	.	.	PUNCT
ejpam-3301	240	1	on	on	ADP
ejpam-3301	240	2	the	the	DET
ejpam-3301	240	3	computation	computation	NOUN
ejpam-3301	240	4	of	of	ADP
ejpam-3301	240	5	structured	structured	ADJ
ejpam-3301	240	6	singular	singular	ADJ
ejpam-3301	240	7	values	value	NOUN
ejpam-3301	240	8	and	and	CCONJ
ejpam-3301	240	9	pseudospectra	pseudospectra	NOUN
ejpam-3301	240	10	.	.	PUNCT
ejpam-3301	241	1	systems	system	NOUN
ejpam-3301	241	2	&	&	CCONJ
ejpam-3301	241	3	control	control	PROPN
ejpam-3301	241	4	letters	letter	NOUN
ejpam-3301	241	5	volume	volume	VERB
ejpam-3301	241	6	59	59	NUM
ejpam-3301	241	7	:	:	SYM
ejpam-3301	241	8	122	122	NUM
ejpam-3301	241	9	-	-	SYM
ejpam-3301	241	10	129	129	NUM
ejpam-3301	241	11	,	,	PUNCT
ejpam-3301	241	12	2010	2010	NUM
ejpam-3301	241	13	.	.	PUNCT
ejpam-3301	242	1	[	[	X
ejpam-3301	242	2	7	7	NUM
ejpam-3301	242	3	]	]	SYM
ejpam-3301	242	4	karow	karow	PROPN
ejpam-3301	242	5	,	,	PUNCT
ejpam-3301	242	6	michael	michael	PROPN
ejpam-3301	242	7	and	and	CCONJ
ejpam-3301	242	8	kressner	kressner	PROPN
ejpam-3301	242	9	,	,	PUNCT
ejpam-3301	242	10	daniel	daniel	PROPN
ejpam-3301	242	11	and	and	CCONJ
ejpam-3301	242	12	tisseur	tisseur	PROPN
ejpam-3301	242	13	,	,	PUNCT
ejpam-3301	242	14	françoise	françoise	PROPN
ejpam-3301	242	15	.	.	PUNCT
ejpam-3301	243	1	structured	structure	VERB
ejpam-3301	243	2	eigenvalue	eigenvalue	NOUN
ejpam-3301	243	3	condition	condition	NOUN
ejpam-3301	243	4	numbers	number	NOUN
ejpam-3301	243	5	.	.	PUNCT
ejpam-3301	244	1	siam	siam	PROPN
ejpam-3301	244	2	journal	journal	PROPN
ejpam-3301	244	3	on	on	ADP
ejpam-3301	244	4	matrix	matrix	NOUN
ejpam-3301	244	5	analysis	analysis	NOUN
ejpam-3301	244	6	and	and	CCONJ
ejpam-3301	244	7	applications	application	NOUN
ejpam-3301	244	8	volume	volume	NOUN
ejpam-3301	244	9	28	28	NUM
ejpam-3301	244	10	:	:	SYM
ejpam-3301	244	11	1052	1052	NUM
ejpam-3301	244	12	-	-	SYM
ejpam-3301	244	13	1068	1068	NUM
ejpam-3301	244	14	,	,	PUNCT
ejpam-3301	244	15	2006	2006	NUM
ejpam-3301	244	16	.	.	PUNCT
ejpam-3301	245	1	[	[	X
ejpam-3301	245	2	8	8	NUM
ejpam-3301	245	3	]	]	X
ejpam-3301	245	4	packard	packard	NOUN
ejpam-3301	245	5	,	,	PUNCT
ejpam-3301	245	6	andrew	andrew	PROPN
ejpam-3301	245	7	and	and	CCONJ
ejpam-3301	245	8	doyle	doyle	PROPN
ejpam-3301	245	9	,	,	PUNCT
ejpam-3301	245	10	john	john	PROPN
ejpam-3301	245	11	.	.	PUNCT
ejpam-3301	246	1	the	the	DET
ejpam-3301	246	2	complex	complex	ADJ
ejpam-3301	246	3	structured	structured	ADJ
ejpam-3301	246	4	singular	singular	ADJ
ejpam-3301	246	5	value	value	NOUN
ejpam-3301	246	6	.	.	PUNCT
ejpam-3301	247	1	automatica	automatica	PROPN
ejpam-3301	247	2	volume	volume	NOUN
ejpam-3301	247	3	29	29	NUM
ejpam-3301	247	4	:	:	PUNCT
ejpam-3301	247	5	71	71	NUM
ejpam-3301	247	6	-	-	SYM
ejpam-3301	247	7	109	109	NUM
ejpam-3301	247	8	,	,	PUNCT
ejpam-3301	247	9	1993	1993	NUM
ejpam-3301	247	10	.	.	PUNCT
ejpam-3301	248	1	[	[	X
ejpam-3301	248	2	9	9	NUM
ejpam-3301	248	3	]	]	X
ejpam-3301	248	4	packard	packard	NOUN
ejpam-3301	248	5	,	,	PUNCT
ejpam-3301	248	6	andy	andy	PROPN
ejpam-3301	248	7	and	and	CCONJ
ejpam-3301	248	8	fan	fan	PROPN
ejpam-3301	248	9	,	,	PUNCT
ejpam-3301	248	10	michael	michael	PROPN
ejpam-3301	248	11	kh	kh	PROPN
ejpam-3301	248	12	and	and	CCONJ
ejpam-3301	248	13	doyle	doyle	PROPN
ejpam-3301	248	14	,	,	PUNCT
ejpam-3301	248	15	john	john	PROPN
ejpam-3301	248	16	.	.	PUNCT
ejpam-3301	249	1	a	a	DET
ejpam-3301	249	2	power	power	NOUN
ejpam-3301	249	3	method	method	NOUN
ejpam-3301	249	4	for	for	ADP
ejpam-3301	249	5	the	the	DET
ejpam-3301	249	6	structured	structured	ADJ
ejpam-3301	249	7	singular	singular	NOUN
ejpam-3301	249	8	value	value	NOUN
ejpam-3301	249	9	.	.	PUNCT
ejpam-3301	250	1	decision	decision	NOUN
ejpam-3301	250	2	and	and	CCONJ
ejpam-3301	250	3	control	control	NOUN
ejpam-3301	250	4	,	,	PUNCT
ejpam-3301	250	5	1988	1988	NUM
ejpam-3301	250	6	.	.	PUNCT
ejpam-3301	251	1	,	,	PUNCT
ejpam-3301	251	2	proceedings	proceeding	NOUN
ejpam-3301	251	3	of	of	ADP
ejpam-3301	251	4	the	the	DET
ejpam-3301	251	5	27th	27th	ADJ
ejpam-3301	251	6	ieee	ieee	NOUN
ejpam-3301	251	7	conference	conference	NOUN
ejpam-3301	251	8	on	on	ADP
ejpam-3301	251	9	,	,	PUNCT
ejpam-3301	251	10	2132	2132	NUM
ejpam-3301	251	11	-	-	SYM
ejpam-3301	251	12	2137	2137	NUM
ejpam-3301	251	13	,	,	PUNCT
ejpam-3301	251	14	1998	1998	NUM
ejpam-3301	251	15	.	.	PUNCT
ejpam-3301	252	1	[	[	X
ejpam-3301	252	2	10	10	NUM
ejpam-3301	252	3	]	]	X
ejpam-3301	252	4	qiu	qiu	PROPN
ejpam-3301	252	5	,	,	PUNCT
ejpam-3301	252	6	li	li	PROPN
ejpam-3301	252	7	and	and	CCONJ
ejpam-3301	252	8	bernhardsson	bernhardsson	PROPN
ejpam-3301	252	9	,	,	PUNCT
ejpam-3301	252	10	bo	bo	PROPN
ejpam-3301	252	11	and	and	CCONJ
ejpam-3301	252	12	rantzer	rantzer	VERB
ejpam-3301	252	13	,	,	PUNCT
ejpam-3301	252	14	anders	ander	NOUN
ejpam-3301	252	15	and	and	CCONJ
ejpam-3301	252	16	davison	davison	PROPN
ejpam-3301	252	17	,	,	PUNCT
ejpam-3301	252	18	ej	ej	PROPN
ejpam-3301	252	19	and	and	CCONJ
ejpam-3301	252	20	young	young	ADJ
ejpam-3301	252	21	,	,	PUNCT
ejpam-3301	252	22	pm	pm	NOUN
ejpam-3301	252	23	and	and	CCONJ
ejpam-3301	252	24	doyle	doyle	NOUN
ejpam-3301	252	25	,	,	PUNCT
ejpam-3301	252	26	jc	jc	PROPN
ejpam-3301	252	27	.	.	PROPN
ejpam-3301	253	1	a	a	DET
ejpam-3301	253	2	formula	formula	NOUN
ejpam-3301	253	3	for	for	ADP
ejpam-3301	253	4	computation	computation	NOUN
ejpam-3301	253	5	of	of	ADP
ejpam-3301	253	6	the	the	DET
ejpam-3301	253	7	real	real	ADJ
ejpam-3301	253	8	stability	stability	NOUN
ejpam-3301	253	9	radius	radius	NOUN
ejpam-3301	253	10	.	.	PUNCT
ejpam-3301	254	1	automatica	automatica	PROPN
ejpam-3301	254	2	,	,	PUNCT
ejpam-3301	254	3	879	879	NUM
ejpam-3301	254	4	-	-	SYM
ejpam-3301	254	5	890	890	NUM
ejpam-3301	254	6	,	,	PUNCT
ejpam-3301	254	7	1995	1995	NUM
ejpam-3301	254	8	.	.	PUNCT
ejpam-3301	255	1	[	[	X
ejpam-3301	255	2	11	11	NUM
ejpam-3301	255	3	]	]	X
ejpam-3301	255	4	rehman	rehman	PROPN
ejpam-3301	255	5	,	,	PUNCT
ejpam-3301	255	6	mutti	mutti	PROPN
ejpam-3301	255	7	-	-	PUNCT
ejpam-3301	255	8	ur	ur	PROPN
ejpam-3301	255	9	and	and	CCONJ
ejpam-3301	255	10	tabassum	tabassum	NOUN
ejpam-3301	255	11	,	,	PUNCT
ejpam-3301	255	12	shabana	shabana	PROPN
ejpam-3301	255	13	numerical	numerical	PROPN
ejpam-3301	255	14	computation	computation	PROPN
ejpam-3301	255	15	of	of	ADP
ejpam-3301	255	16	structured	structured	ADJ
ejpam-3301	255	17	singular	singular	ADJ
ejpam-3301	255	18	values	value	NOUN
ejpam-3301	255	19	for	for	ADP
ejpam-3301	255	20	companion	companion	NOUN
ejpam-3301	255	21	matrices	matrix	NOUN
ejpam-3301	255	22	.	.	PUNCT
ejpam-3301	256	1	journal	journal	NOUN
ejpam-3301	256	2	of	of	ADP
ejpam-3301	256	3	applied	apply	VERB
ejpam-3301	256	4	mathematics	mathematic	NOUN
ejpam-3301	256	5	and	and	CCONJ
ejpam-3301	256	6	physics	physics	NOUN
ejpam-3301	256	7	volume	volume	NOUN
ejpam-3301	256	8	.	.	PUNCT
ejpam-3301	257	1	5	5	NUM
ejpam-3301	257	2	,	,	PUNCT
ejpam-3301	257	3	number	number	NOUN
ejpam-3301	257	4	.	.	PUNCT
ejpam-3301	257	5	5	5	NUM
ejpam-3301	257	6	,	,	PUNCT
ejpam-3301	257	7	pages	page	NOUN
ejpam-3301	257	8	.	.	PUNCT
ejpam-3301	257	9	1057	1057	NUM
ejpam-3301	257	10	,	,	PUNCT
ejpam-3301	257	11	year	year	NOUN
ejpam-3301	257	12	.	.	PUNCT
ejpam-3301	258	1	2017	2017	NUM
ejpam-3301	258	2	.	.	PUNCT
ejpam-3301	259	1	[	[	X
ejpam-3301	259	2	12	12	NUM
ejpam-3301	259	3	]	]	X
ejpam-3301	259	4	doyle	doyle	NOUN
ejpam-3301	259	5	,	,	PUNCT
ejpam-3301	259	6	john	john	PROPN
ejpam-3301	259	7	analysis	analysis	NOUN
ejpam-3301	259	8	of	of	ADP
ejpam-3301	259	9	feedback	feedback	NOUN
ejpam-3301	259	10	systems	system	NOUN
ejpam-3301	259	11	with	with	ADP
ejpam-3301	259	12	structured	structured	ADJ
ejpam-3301	259	13	uncertainties	uncertainty	NOUN
ejpam-3301	259	14	.	.	PUNCT
ejpam-3301	260	1	iee	iee	PROPN
ejpam-3301	260	2	proceedings	proceeding	NOUN
ejpam-3301	260	3	d	d	X
ejpam-3301	260	4	-	-	PUNCT
ejpam-3301	260	5	control	control	NOUN
ejpam-3301	260	6	theory	theory	NOUN
ejpam-3301	260	7	and	and	CCONJ
ejpam-3301	260	8	applications	application	NOUN
ejpam-3301	260	9	volume	volume	NOUN
ejpam-3301	260	10	.	.	PUNCT
ejpam-3301	261	1	129	129	NUM
ejpam-3301	261	2	.	.	PUNCT
ejpam-3301	261	3	number	number	NOUN
ejpam-3301	261	4	6	6	NUM
ejpam-3301	261	5	.	.	PUNCT
ejpam-3301	261	6	pages	page	NOUN
ejpam-3301	261	7	242–250	242–250	NUM
ejpam-3301	261	8	.	.	PUNCT
ejpam-3301	261	9	year	year	NOUN
ejpam-3301	261	10	1982	1982	NUM
ejpam-3301	261	11	.	.	PUNCT
ejpam-3301	262	1	organization	organization	PROPN
ejpam-3301	262	2	iet	iet	PROPN
ejpam-3301	262	3	.	.	PUNCT
ejpam-3301	263	1	[	[	X
ejpam-3301	263	2	13	13	NUM
ejpam-3301	263	3	]	]	PUNCT
ejpam-3301	263	4	ferreres	ferrere	NOUN
ejpam-3301	263	5	,	,	PUNCT
ejpam-3301	263	6	gilles	gille	NOUN
ejpam-3301	263	7	a	a	DET
ejpam-3301	263	8	practical	practical	ADJ
ejpam-3301	263	9	approach	approach	NOUN
ejpam-3301	263	10	to	to	PART
ejpam-3301	263	11	robustness	robustness	VERB
ejpam-3301	263	12	analysis	analysis	NOUN
ejpam-3301	263	13	with	with	ADP
ejpam-3301	263	14	aeronautical	aeronautical	ADJ
ejpam-3301	263	15	applications	application	NOUN
ejpam-3301	263	16	.	.	PUNCT
ejpam-3301	264	1	springer	springer	NOUN
ejpam-3301	264	2	science	science	PROPN
ejpam-3301	264	3	&	&	CCONJ
ejpam-3301	264	4	business	business	PROPN
ejpam-3301	264	5	media	medium	NOUN
ejpam-3301	264	6	year	year	NOUN
ejpam-3301	264	7	1999	1999	NUM
ejpam-3301	264	8	.	.	PUNCT
ejpam-3301	265	1	[	[	X
ejpam-3301	265	2	14	14	NUM
ejpam-3301	265	3	]	]	X
ejpam-3301	265	4	fu	fu	NOUN
ejpam-3301	265	5	,	,	PUNCT
ejpam-3301	265	6	minyue	minyue	NOUN
ejpam-3301	265	7	the	the	DET
ejpam-3301	265	8	real	real	ADV
ejpam-3301	265	9	structured	structure	VERB
ejpam-3301	265	10	singular	singular	ADJ
ejpam-3301	265	11	value	value	NOUN
ejpam-3301	265	12	is	be	AUX
ejpam-3301	265	13	hardly	hardly	ADV
ejpam-3301	265	14	approximable	approximable	ADJ
ejpam-3301	265	15	.	.	PUNCT
ejpam-3301	266	1	ieee	ieee	NOUN
ejpam-3301	266	2	transactions	transaction	NOUN
ejpam-3301	266	3	on	on	ADP
ejpam-3301	266	4	automatic	automatic	ADJ
ejpam-3301	266	5	control	control	NOUN
ejpam-3301	266	6	year	year	NOUN
ejpam-3301	266	7	1997	1997	NUM
ejpam-3301	266	8	.	.	PUNCT
ejpam-3301	267	1	[	[	X
ejpam-3301	267	2	15	15	NUM
ejpam-3301	267	3	]	]	X
ejpam-3301	267	4	newlin	newlin	PROPN
ejpam-3301	267	5	,	,	PUNCT
ejpam-3301	267	6	matthew	matthew	PROPN
ejpam-3301	267	7	p	p	PROPN
ejpam-3301	267	8	and	and	CCONJ
ejpam-3301	267	9	glavaski	glavaski	PROPN
ejpam-3301	267	10	,	,	PUNCT
ejpam-3301	267	11	sonja	sonja	PROPN
ejpam-3301	267	12	t	t	PROPN
ejpam-3301	267	13	advances	advance	VERB
ejpam-3301	267	14	in	in	ADP
ejpam-3301	267	15	the	the	DET
ejpam-3301	267	16	computation	computation	NOUN
ejpam-3301	267	17	of	of	ADP
ejpam-3301	267	18	the	the	DET
ejpam-3301	267	19	/	/	SYM
ejpam-3301	267	20	spl	spl	PROPN
ejpam-3301	267	21	mu	mu	PROPN
ejpam-3301	267	22	/	/	SYM
ejpam-3301	267	23	lower	lower	X
ejpam-3301	267	24	bound	bind	VERB
ejpam-3301	267	25	.	.	PUNCT
ejpam-3301	268	1	american	american	PROPN
ejpam-3301	268	2	control	control	PROPN
ejpam-3301	268	3	conference	conference	PROPN
ejpam-3301	268	4	,	,	PUNCT
ejpam-3301	268	5	proceedings	proceeding	NOUN
ejpam-3301	268	6	of	of	ADP
ejpam-3301	268	7	the	the	DET
ejpam-3301	268	8	1995	1995	NUM
ejpam-3301	268	9	year	year	NOUN
ejpam-3301	268	10	995	995	NUM
ejpam-3301	268	11	.	.	PUNCT
ejpam-3301	269	1	appendix	appendix	NOUN
ejpam-3301	269	2	appendix	appendix	VERB
ejpam-3301	269	3	855	855	NUM
ejpam-3301	269	4	0	0	NUM
ejpam-3301	269	5	1	1	NUM
ejpam-3301	269	6	2	2	NUM
ejpam-3301	269	7	3	3	NUM
ejpam-3301	269	8	4	4	NUM
ejpam-3301	269	9	5	5	NUM
ejpam-3301	269	10	6	6	NUM
ejpam-3301	269	11	7	7	NUM
ejpam-3301	269	12	8	8	NUM
ejpam-3301	269	13	0.5	0.5	NUM
ejpam-3301	269	14	1	1	NUM
ejpam-3301	269	15	1.5	1.5	NUM
ejpam-3301	269	16	2	2	NUM
ejpam-3301	269	17	2.5	2.5	NUM
ejpam-3301	269	18	3	3	NUM
ejpam-3301	269	19	frequency(rad	frequency(rad	PROPN
ejpam-3301	269	20	/	/	SYM
ejpam-3301	269	21	sec	sec	PROPN
ejpam-3301	269	22	)	)	PUNCT
ejpam-3301	269	23	u	u	NOUN
ejpam-3301	269	24	pp	pp	ADV
ejpam-3301	270	1	er	er	INTJ
ejpam-3301	270	2	/l	/l	PUNCT
ejpam-3301	271	1	ow	ow	INTJ
ejpam-3301	271	2	er	er	INTJ
ejpam-3301	271	3	b	b	PROPN
ejpam-3301	271	4	ou	ou	ADP
ejpam-3301	271	5	nd	nd	NOUN
ejpam-3301	271	6	s	s	NOUN
ejpam-3301	271	7	ssv	ssv	NOUN
ejpam-3301	271	8	upper	upper	ADV
ejpam-3301	271	9	bound	bind	VERB
ejpam-3301	271	10	by	by	ADP
ejpam-3301	271	11	musv	musv	ADJ
ejpam-3301	271	12	ssv	ssv	NOUN
ejpam-3301	271	13	loweer	loweer	NOUN
ejpam-3301	271	14	bound	bind	VERB
ejpam-3301	271	15	by	by	ADP
ejpam-3301	271	16	musv	musv	ADJ
ejpam-3301	271	17	ssv	ssv	X
ejpam-3301	271	18	lower	lower	ADV
ejpam-3301	271	19	bound	bind	VERB
ejpam-3301	271	20	by	by	ADP
ejpam-3301	271	21	newalgo	newalgo	NOUN
ejpam-3301	271	22	figure	figure	NOUN
ejpam-3301	271	23	1	1	NUM
ejpam-3301	271	24	:	:	PUNCT
ejpam-3301	271	25	comparison	comparison	NOUN
ejpam-3301	271	26	of	of	ADP
ejpam-3301	271	27	lower	low	ADJ
ejpam-3301	271	28	and	and	CCONJ
ejpam-3301	271	29	upper	upper	ADJ
ejpam-3301	271	30	bounds	bound	NOUN
ejpam-3301	271	31	of	of	ADP
ejpam-3301	271	32	ssv	ssv	NOUN
ejpam-3301	271	33	appendix	appendix	VERB
ejpam-3301	271	34	856	856	NUM
ejpam-3301	271	35	0	0	NUM
ejpam-3301	271	36	1	1	NUM
ejpam-3301	271	37	2	2	NUM
ejpam-3301	271	38	3	3	NUM
ejpam-3301	271	39	4	4	NUM
ejpam-3301	271	40	5	5	NUM
ejpam-3301	271	41	6	6	NUM
ejpam-3301	271	42	7	7	NUM
ejpam-3301	271	43	8	8	NUM
ejpam-3301	271	44	0	0	NUM
ejpam-3301	271	45	2	2	NUM
ejpam-3301	271	46	4	4	NUM
ejpam-3301	271	47	6	6	NUM
ejpam-3301	271	48	8	8	NUM
ejpam-3301	271	49	10	10	NUM
ejpam-3301	271	50	12	12	NUM
ejpam-3301	271	51	14	14	NUM
ejpam-3301	271	52	16	16	NUM
ejpam-3301	271	53	18	18	NUM
ejpam-3301	271	54	frequency(rad	frequency(rad	PROPN
ejpam-3301	271	55	/	/	SYM
ejpam-3301	271	56	sec	sec	PROPN
ejpam-3301	271	57	)	)	PUNCT
ejpam-3301	271	58	u	u	NOUN
ejpam-3301	271	59	pp	pp	ADV
ejpam-3301	272	1	er	er	INTJ
ejpam-3301	272	2	/l	/l	PUNCT
ejpam-3301	273	1	ow	ow	INTJ
ejpam-3301	273	2	er	er	INTJ
ejpam-3301	273	3	b	b	PROPN
ejpam-3301	273	4	ou	ou	ADP
ejpam-3301	273	5	nd	nd	NOUN
ejpam-3301	273	6	s	s	NOUN
ejpam-3301	273	7	ssv	ssv	NOUN
ejpam-3301	273	8	upper	upper	ADV
ejpam-3301	273	9	bound	bind	VERB
ejpam-3301	273	10	by	by	ADP
ejpam-3301	273	11	mussv	mussv	ADJ
ejpam-3301	273	12	ssv	ssv	NOUN
ejpam-3301	273	13	lower	lower	ADV
ejpam-3301	273	14	bound	bind	VERB
ejpam-3301	273	15	by	by	ADP
ejpam-3301	273	16	mussv	mussv	ADJ
ejpam-3301	273	17	ssv	ssv	NOUN
ejpam-3301	273	18	lower	lower	ADV
ejpam-3301	273	19	bound	bind	VERB
ejpam-3301	273	20	by	by	ADP
ejpam-3301	273	21	newalgo	newalgo	NOUN
ejpam-3301	273	22	figure	figure	NOUN
ejpam-3301	273	23	2	2	NUM
ejpam-3301	273	24	:	:	PUNCT
ejpam-3301	273	25	comparison	comparison	NOUN
ejpam-3301	273	26	of	of	ADP
ejpam-3301	273	27	lower	low	ADJ
ejpam-3301	273	28	and	and	CCONJ
ejpam-3301	273	29	upper	upper	ADJ
ejpam-3301	273	30	bounds	bound	NOUN
ejpam-3301	273	31	of	of	ADP
ejpam-3301	273	32	ssv	ssv	NOUN
ejpam-3301	273	33	appendix	appendix	VERB
ejpam-3301	273	34	857	857	NUM
ejpam-3301	273	35	0	0	NUM
ejpam-3301	273	36	1	1	NUM
ejpam-3301	273	37	2	2	NUM
ejpam-3301	273	38	3	3	NUM
ejpam-3301	273	39	4	4	NUM
ejpam-3301	273	40	5	5	NUM
ejpam-3301	273	41	0	0	NUM
ejpam-3301	273	42	0.2	0.2	NUM
ejpam-3301	273	43	0.4	0.4	NUM
ejpam-3301	273	44	0.6	0.6	NUM
ejpam-3301	273	45	0.8	0.8	NUM
ejpam-3301	273	46	1	1	NUM
ejpam-3301	273	47	1.2	1.2	NUM
ejpam-3301	273	48	1.4	1.4	NUM
ejpam-3301	273	49	1.6	1.6	NUM
ejpam-3301	273	50	frequency(rad	frequency(rad	NOUN
ejpam-3301	273	51	/	/	SYM
ejpam-3301	273	52	sec	sec	PROPN
ejpam-3301	273	53	)	)	PUNCT
ejpam-3301	273	54	u	u	NOUN
ejpam-3301	273	55	pp	pp	ADV
ejpam-3301	274	1	er	er	INTJ
ejpam-3301	274	2	/l	/l	PUNCT
ejpam-3301	275	1	ow	ow	INTJ
ejpam-3301	275	2	er	er	INTJ
ejpam-3301	275	3	b	b	PROPN
ejpam-3301	275	4	ou	ou	ADP
ejpam-3301	275	5	nd	nd	NOUN
ejpam-3301	275	6	s	s	NOUN
ejpam-3301	275	7	ssv	ssv	NOUN
ejpam-3301	275	8	upper	upper	ADV
ejpam-3301	275	9	bound	bind	VERB
ejpam-3301	275	10	by	by	ADP
ejpam-3301	275	11	mussv	mussv	ADJ
ejpam-3301	275	12	ssv	ssv	NOUN
ejpam-3301	275	13	lower	lower	ADV
ejpam-3301	275	14	bound	bind	VERB
ejpam-3301	275	15	by	by	ADP
ejpam-3301	275	16	mussv	mussv	ADJ
ejpam-3301	275	17	ssv	ssv	NOUN
ejpam-3301	275	18	lower	lower	ADV
ejpam-3301	275	19	bound	bind	VERB
ejpam-3301	275	20	by	by	ADP
ejpam-3301	275	21	newalgo	newalgo	NOUN
ejpam-3301	275	22	figure	figure	NOUN
ejpam-3301	275	23	3	3	NUM
ejpam-3301	275	24	:	:	PUNCT
ejpam-3301	275	25	comparison	comparison	NOUN
ejpam-3301	275	26	of	of	ADP
ejpam-3301	275	27	lower	low	ADJ
ejpam-3301	275	28	and	and	CCONJ
ejpam-3301	275	29	upper	upper	ADJ
ejpam-3301	275	30	bounds	bound	NOUN
ejpam-3301	275	31	of	of	ADP
ejpam-3301	275	32	ssv	ssv	NOUN
ejpam-3301	275	33	appendix	appendix	VERB
ejpam-3301	275	34	858	858	NUM
ejpam-3301	275	35	0	0	NUM
ejpam-3301	275	36	0.1	0.1	NUM
ejpam-3301	275	37	0.2	0.2	NUM
ejpam-3301	275	38	0.3	0.3	NUM
ejpam-3301	275	39	0.4	0.4	NUM
ejpam-3301	275	40	0.5	0.5	NUM
ejpam-3301	275	41	0.6	0.6	NUM
ejpam-3301	275	42	0.7	0.7	NUM
ejpam-3301	275	43	0.8	0.8	NUM
ejpam-3301	275	44	0.9	0.9	NUM
ejpam-3301	275	45	1	1	NUM
ejpam-3301	275	46	4	4	NUM
ejpam-3301	275	47	4.5	4.5	NUM
ejpam-3301	275	48	5	5	NUM
ejpam-3301	275	49	5.5	5.5	NUM
ejpam-3301	275	50	frequency(rad	frequency(rad	NOUN
ejpam-3301	275	51	/	/	SYM
ejpam-3301	275	52	sec	sec	PROPN
ejpam-3301	275	53	)	)	PUNCT
ejpam-3301	275	54	u	u	NOUN
ejpam-3301	275	55	pp	pp	ADV
ejpam-3301	276	1	er	er	INTJ
ejpam-3301	276	2	/l	/l	PUNCT
ejpam-3301	277	1	ow	ow	INTJ
ejpam-3301	277	2	er	er	INTJ
ejpam-3301	277	3	b	b	PROPN
ejpam-3301	277	4	ou	ou	ADP
ejpam-3301	277	5	nd	nd	NOUN
ejpam-3301	277	6	s	s	NOUN
ejpam-3301	277	7	ssv	ssv	NOUN
ejpam-3301	277	8	upper	upper	ADJ
ejpam-3301	277	9	bounds	bound	NOUN
ejpam-3301	277	10	by	by	ADP
ejpam-3301	277	11	mussv	mussv	ADJ
ejpam-3301	277	12	ssv	ssv	NOUN
ejpam-3301	277	13	lower	low	ADJ
ejpam-3301	277	14	bounds	bound	NOUN
ejpam-3301	277	15	by	by	ADP
ejpam-3301	277	16	mussv	mussv	ADJ
ejpam-3301	277	17	ssv	ssv	NOUN
ejpam-3301	277	18	lower	low	ADJ
ejpam-3301	277	19	bounds	bound	NOUN
ejpam-3301	277	20	by	by	ADP
ejpam-3301	277	21	newalgo	newalgo	NOUN
ejpam-3301	277	22	figure	figure	NOUN
ejpam-3301	277	23	4	4	NUM
ejpam-3301	277	24	:	:	PUNCT
ejpam-3301	277	25	comparison	comparison	NOUN
ejpam-3301	277	26	of	of	ADP
ejpam-3301	277	27	lower	low	ADJ
ejpam-3301	277	28	and	and	CCONJ
ejpam-3301	277	29	upper	upper	ADJ
ejpam-3301	277	30	bounds	bound	NOUN
ejpam-3301	277	31	of	of	ADP
ejpam-3301	277	32	ssv	ssv	NOUN
ejpam-3301	277	33	appendix	appendix	VERB
ejpam-3301	277	34	859	859	NUM
ejpam-3301	277	35	0	0	NUM
ejpam-3301	277	36	0.5	0.5	NUM
ejpam-3301	277	37	1	1	NUM
ejpam-3301	277	38	1.5	1.5	NUM
ejpam-3301	277	39	2	2	NUM
ejpam-3301	277	40	2.5	2.5	NUM
ejpam-3301	277	41	3	3	NUM
ejpam-3301	277	42	3.5	3.5	NUM
ejpam-3301	277	43	4	4	NUM
ejpam-3301	277	44	4.5	4.5	NUM
ejpam-3301	277	45	5	5	NUM
ejpam-3301	277	46	0	0	NUM
ejpam-3301	277	47	2	2	NUM
ejpam-3301	277	48	4	4	NUM
ejpam-3301	277	49	6	6	NUM
ejpam-3301	277	50	8	8	NUM
ejpam-3301	277	51	10	10	NUM
ejpam-3301	277	52	12	12	NUM
ejpam-3301	277	53	14	14	NUM
ejpam-3301	277	54	16	16	NUM
ejpam-3301	277	55	18	18	NUM
ejpam-3301	277	56	frequency(rad	frequency(rad	PROPN
ejpam-3301	277	57	/	/	SYM
ejpam-3301	277	58	sec	sec	PROPN
ejpam-3301	277	59	)	)	PUNCT
ejpam-3301	277	60	u	u	NOUN
ejpam-3301	277	61	pp	pp	ADV
ejpam-3301	278	1	er	er	INTJ
ejpam-3301	278	2	/l	/l	PUNCT
ejpam-3301	279	1	ow	ow	INTJ
ejpam-3301	279	2	er	er	INTJ
ejpam-3301	279	3	b	b	PROPN
ejpam-3301	279	4	ou	ou	ADP
ejpam-3301	279	5	nd	nd	NOUN
ejpam-3301	279	6	s	s	NOUN
ejpam-3301	279	7	ssv	ssv	NOUN
ejpam-3301	279	8	upper	upper	ADV
ejpam-3301	279	9	bound	bind	VERB
ejpam-3301	279	10	by	by	ADP
ejpam-3301	279	11	mussv	mussv	ADJ
ejpam-3301	279	12	ssv	ssv	NOUN
ejpam-3301	279	13	lower	lower	ADV
ejpam-3301	279	14	bound	bind	VERB
ejpam-3301	279	15	by	by	ADP
ejpam-3301	279	16	mussv	mussv	ADJ
ejpam-3301	279	17	ssv	ssv	NOUN
ejpam-3301	279	18	lower	lower	ADV
ejpam-3301	279	19	bound	bind	VERB
ejpam-3301	279	20	by	by	ADP
ejpam-3301	279	21	newalgo	newalgo	NOUN
ejpam-3301	279	22	figure	figure	NOUN
ejpam-3301	279	23	5	5	NUM
ejpam-3301	279	24	:	:	PUNCT
ejpam-3301	279	25	comparison	comparison	NOUN
ejpam-3301	279	26	of	of	ADP
ejpam-3301	279	27	lower	low	ADJ
ejpam-3301	279	28	and	and	CCONJ
ejpam-3301	279	29	upper	upper	ADJ
ejpam-3301	279	30	bounds	bound	NOUN
ejpam-3301	279	31	of	of	ADP
ejpam-3301	279	32	ssv	ssv	NOUN
ejpam-3301	279	33	appendix	appendix	VERB
ejpam-3301	279	34	860	860	NUM
ejpam-3301	279	35	0	0	NUM
ejpam-3301	279	36	0.5	0.5	NUM
ejpam-3301	279	37	1	1	NUM
ejpam-3301	279	38	1.5	1.5	NUM
ejpam-3301	279	39	2	2	NUM
ejpam-3301	279	40	2.5	2.5	NUM
ejpam-3301	279	41	3	3	NUM
ejpam-3301	279	42	3.5	3.5	NUM
ejpam-3301	279	43	4	4	NUM
ejpam-3301	279	44	0	0	NUM
ejpam-3301	279	45	1	1	NUM
ejpam-3301	279	46	2	2	NUM
ejpam-3301	279	47	3	3	NUM
ejpam-3301	279	48	4	4	NUM
ejpam-3301	279	49	5	5	NUM
ejpam-3301	279	50	6	6	NUM
ejpam-3301	279	51	7	7	NUM
ejpam-3301	279	52	frequency(rad	frequency(rad	NOUN
ejpam-3301	279	53	/	/	SYM
ejpam-3301	279	54	sec	sec	PROPN
ejpam-3301	279	55	)	)	PUNCT
ejpam-3301	279	56	u	u	NOUN
ejpam-3301	279	57	pp	pp	ADV
ejpam-3301	280	1	er	er	INTJ
ejpam-3301	280	2	/l	/l	PUNCT
ejpam-3301	281	1	ow	ow	INTJ
ejpam-3301	281	2	er	er	INTJ
ejpam-3301	281	3	b	b	PROPN
ejpam-3301	281	4	ou	ou	ADP
ejpam-3301	281	5	nd	nd	NOUN
ejpam-3301	281	6	s	s	X
ejpam-3301	281	7	upper	upper	ADJ
ejpam-3301	281	8	bounds	bound	NOUN
ejpam-3301	281	9	by	by	ADP
ejpam-3301	281	10	mussv	mussv	ADJ
ejpam-3301	281	11	lower	low	ADJ
ejpam-3301	281	12	bounds	bound	NOUN
ejpam-3301	281	13	by	by	ADP
ejpam-3301	281	14	mussv	mussv	ADJ
ejpam-3301	281	15	lower	low	ADJ
ejpam-3301	281	16	bounds	bound	NOUN
ejpam-3301	281	17	by	by	ADP
ejpam-3301	281	18	newalgo	newalgo	NOUN
ejpam-3301	281	19	figure	figure	NOUN
ejpam-3301	281	20	6	6	NUM
ejpam-3301	281	21	:	:	PUNCT
ejpam-3301	281	22	comparison	comparison	NOUN
ejpam-3301	281	23	of	of	ADP
ejpam-3301	281	24	lower	low	ADJ
ejpam-3301	281	25	and	and	CCONJ
ejpam-3301	281	26	upper	upper	ADJ
ejpam-3301	281	27	bounds	bound	NOUN
ejpam-3301	281	28	of	of	ADP
ejpam-3301	281	29	ssv	ssv	NOUN
ejpam-3301	281	30	appendix	appendix	VERB
ejpam-3301	281	31	861	861	NUM
ejpam-3301	281	32	0	0	NUM
ejpam-3301	281	33	1	1	NUM
ejpam-3301	281	34	2	2	NUM
ejpam-3301	281	35	3	3	NUM
ejpam-3301	281	36	4	4	NUM
ejpam-3301	281	37	5	5	NUM
ejpam-3301	281	38	0	0	NUM
ejpam-3301	281	39	0.5	0.5	NUM
ejpam-3301	281	40	1	1	NUM
ejpam-3301	281	41	1.5	1.5	NUM
ejpam-3301	281	42	frequency(rad	frequency(rad	NOUN
ejpam-3301	281	43	/	/	SYM
ejpam-3301	281	44	sec	sec	PROPN
ejpam-3301	281	45	)	)	PUNCT
ejpam-3301	281	46	u	u	NOUN
ejpam-3301	281	47	pp	pp	ADV
ejpam-3301	282	1	er	er	INTJ
ejpam-3301	282	2	/l	/l	PUNCT
ejpam-3301	283	1	ow	ow	INTJ
ejpam-3301	283	2	er	er	INTJ
ejpam-3301	283	3	b	b	PROPN
ejpam-3301	283	4	ou	ou	ADP
ejpam-3301	283	5	nd	nd	NOUN
ejpam-3301	283	6	s	s	NOUN
ejpam-3301	283	7	ssv	ssv	NOUN
ejpam-3301	283	8	upper	upper	ADV
ejpam-3301	283	9	bound	bind	VERB
ejpam-3301	283	10	by	by	ADP
ejpam-3301	283	11	mussv	mussv	ADJ
ejpam-3301	283	12	ssv	ssv	NOUN
ejpam-3301	283	13	lower	lower	ADV
ejpam-3301	283	14	bound	bind	VERB
ejpam-3301	283	15	by	by	ADP
ejpam-3301	283	16	mussv	mussv	ADJ
ejpam-3301	283	17	ssv	ssv	NOUN
ejpam-3301	283	18	lower	lower	ADV
ejpam-3301	283	19	bound	bind	VERB
ejpam-3301	283	20	by	by	ADP
ejpam-3301	283	21	newalgo	newalgo	NOUN
ejpam-3301	283	22	figure	figure	NOUN
ejpam-3301	283	23	7	7	NUM
ejpam-3301	283	24	:	:	PUNCT
ejpam-3301	283	25	comparison	comparison	NOUN
ejpam-3301	283	26	of	of	ADP
ejpam-3301	283	27	lower	low	ADJ
ejpam-3301	283	28	and	and	CCONJ
ejpam-3301	283	29	upper	upper	ADJ
ejpam-3301	283	30	bounds	bound	NOUN
ejpam-3301	283	31	of	of	ADP
ejpam-3301	283	32	ssv	ssv	NOUN
ejpam-3301	283	33	appendix	appendix	NOUN
ejpam-3301	283	34	862	862	NUM
ejpam-3301	283	35	0	0	NUM
ejpam-3301	283	36	0.1	0.1	NUM
ejpam-3301	283	37	0.2	0.2	NUM
ejpam-3301	283	38	0.3	0.3	NUM
ejpam-3301	283	39	0.4	0.4	NUM
ejpam-3301	283	40	0.5	0.5	NUM
ejpam-3301	283	41	0.6	0.6	NUM
ejpam-3301	283	42	0.7	0.7	NUM
ejpam-3301	283	43	0.8	0.8	NUM
ejpam-3301	283	44	0.9	0.9	NUM
ejpam-3301	283	45	1	1	NUM
ejpam-3301	283	46	2	2	NUM
ejpam-3301	283	47	2.1	2.1	NUM
ejpam-3301	283	48	2.2	2.2	NUM
ejpam-3301	283	49	2.3	2.3	NUM
ejpam-3301	283	50	2.4	2.4	NUM
ejpam-3301	283	51	2.5	2.5	NUM
ejpam-3301	283	52	frequency(rad	frequency(rad	NOUN
ejpam-3301	283	53	/	/	SYM
ejpam-3301	283	54	sec	sec	PROPN
ejpam-3301	283	55	)	)	PUNCT
ejpam-3301	283	56	u	u	NOUN
ejpam-3301	283	57	pp	pp	ADV
ejpam-3301	284	1	er	er	INTJ
ejpam-3301	284	2	/l	/l	PUNCT
ejpam-3301	285	1	ow	ow	INTJ
ejpam-3301	285	2	er	er	INTJ
ejpam-3301	285	3	b	b	PROPN
ejpam-3301	285	4	ou	ou	ADP
ejpam-3301	285	5	nd	nd	NOUN
ejpam-3301	285	6	s	s	X
ejpam-3301	285	7	upper	upper	ADJ
ejpam-3301	285	8	bounds	bound	NOUN
ejpam-3301	285	9	by	by	ADP
ejpam-3301	285	10	mussv	mussv	ADJ
ejpam-3301	285	11	lower	low	ADJ
ejpam-3301	285	12	bounds	bound	NOUN
ejpam-3301	285	13	by	by	ADP
ejpam-3301	285	14	mussv	mussv	ADJ
ejpam-3301	285	15	lower	low	ADJ
ejpam-3301	285	16	bounds	bound	NOUN
ejpam-3301	285	17	by	by	ADP
ejpam-3301	285	18	newalgo	newalgo	NOUN
ejpam-3301	285	19	figure	figure	NOUN
ejpam-3301	285	20	8	8	NUM
ejpam-3301	285	21	:	:	PUNCT
ejpam-3301	285	22	comparison	comparison	NOUN
ejpam-3301	285	23	of	of	ADP
ejpam-3301	285	24	lower	low	ADJ
ejpam-3301	285	25	and	and	CCONJ
ejpam-3301	285	26	upper	upper	ADJ
ejpam-3301	285	27	bounds	bound	NOUN
ejpam-3301	285	28	of	of	ADP
ejpam-3301	285	29	ssv	ssv	NOUN
ejpam-3301	285	30	appendix	appendix	VERB
ejpam-3301	285	31	863	863	NUM
ejpam-3301	285	32	0	0	NUM
ejpam-3301	285	33	1	1	NUM
ejpam-3301	285	34	2	2	NUM
ejpam-3301	285	35	3	3	NUM
ejpam-3301	285	36	4	4	NUM
ejpam-3301	285	37	5	5	NUM
ejpam-3301	285	38	0	0	NUM
ejpam-3301	285	39	1	1	NUM
ejpam-3301	285	40	2	2	NUM
ejpam-3301	285	41	3	3	NUM
ejpam-3301	285	42	4	4	NUM
ejpam-3301	285	43	5	5	NUM
ejpam-3301	285	44	6	6	NUM
ejpam-3301	285	45	frequency(rad	frequency(rad	NOUN
ejpam-3301	285	46	/	/	SYM
ejpam-3301	285	47	sec	sec	PROPN
ejpam-3301	285	48	)	)	PUNCT
ejpam-3301	285	49	u	u	NOUN
ejpam-3301	285	50	pp	pp	ADV
ejpam-3301	286	1	er	er	INTJ
ejpam-3301	286	2	/l	/l	PUNCT
ejpam-3301	287	1	ow	ow	INTJ
ejpam-3301	287	2	er	er	INTJ
ejpam-3301	287	3	b	b	PROPN
ejpam-3301	287	4	ou	ou	ADP
ejpam-3301	287	5	nd	nd	NOUN
ejpam-3301	287	6	s	s	NOUN
ejpam-3301	287	7	ssv	ssv	NOUN
ejpam-3301	287	8	upper	upper	ADJ
ejpam-3301	287	9	bounds	bound	NOUN
ejpam-3301	287	10	by	by	ADP
ejpam-3301	287	11	mussv	mussv	ADJ
ejpam-3301	287	12	ssv	ssv	NOUN
ejpam-3301	287	13	lower	low	ADJ
ejpam-3301	287	14	bounds	bound	NOUN
ejpam-3301	287	15	by	by	ADP
ejpam-3301	287	16	mussv	mussv	ADJ
ejpam-3301	287	17	ssv	ssv	NOUN
ejpam-3301	287	18	lower	low	ADJ
ejpam-3301	287	19	bounds	bound	NOUN
ejpam-3301	287	20	by	by	ADP
ejpam-3301	287	21	newalgo	newalgo	NOUN
ejpam-3301	287	22	figure	figure	NOUN
ejpam-3301	287	23	9	9	NUM
ejpam-3301	287	24	:	:	PUNCT
ejpam-3301	287	25	comparison	comparison	NOUN
ejpam-3301	287	26	of	of	ADP
ejpam-3301	287	27	lower	low	ADJ
ejpam-3301	287	28	and	and	CCONJ
ejpam-3301	287	29	upper	upper	ADJ
ejpam-3301	287	30	bounds	bound	NOUN
ejpam-3301	287	31	of	of	ADP
ejpam-3301	287	32	ssv	ssv	NOUN
ejpam-3301	287	33	appendix	appendix	NOUN
ejpam-3301	287	34	864	864	NUM
ejpam-3301	287	35	0	0	NUM
ejpam-3301	287	36	0.1	0.1	NUM
ejpam-3301	287	37	0.2	0.2	NUM
ejpam-3301	287	38	0.3	0.3	NUM
ejpam-3301	287	39	0.4	0.4	NUM
ejpam-3301	287	40	0.5	0.5	NUM
ejpam-3301	287	41	0.6	0.6	NUM
ejpam-3301	287	42	0.7	0.7	NUM
ejpam-3301	287	43	0.8	0.8	NUM
ejpam-3301	287	44	0.9	0.9	NUM
ejpam-3301	287	45	1	1	NUM
ejpam-3301	287	46	0	0	NUM
ejpam-3301	287	47	1	1	NUM
ejpam-3301	287	48	2	2	NUM
ejpam-3301	287	49	3	3	NUM
ejpam-3301	287	50	4	4	NUM
ejpam-3301	287	51	5	5	NUM
ejpam-3301	287	52	frequency(rad	frequency(rad	NOUN
ejpam-3301	287	53	/	/	SYM
ejpam-3301	287	54	sec	sec	PROPN
ejpam-3301	287	55	)	)	PUNCT
ejpam-3301	287	56	u	u	NOUN
ejpam-3301	288	1	pp	pp	ADV
ejpam-3301	288	2	er	er	INTJ
ejpam-3301	288	3	/l	/l	PUNCT
ejpam-3301	289	1	ow	ow	INTJ
ejpam-3301	289	2	er	er	INTJ
ejpam-3301	289	3	b	b	PROPN
ejpam-3301	289	4	ou	ou	ADP
ejpam-3301	289	5	nd	nd	NOUN
ejpam-3301	289	6	s	s	X
ejpam-3301	289	7	upper	upper	ADJ
ejpam-3301	289	8	bounds	bound	NOUN
ejpam-3301	289	9	by	by	ADP
ejpam-3301	289	10	mussv	mussv	ADJ
ejpam-3301	289	11	lower	low	ADJ
ejpam-3301	289	12	bounds	bound	NOUN
ejpam-3301	289	13	by	by	ADP
ejpam-3301	289	14	mussv	mussv	ADJ
ejpam-3301	289	15	lower	low	ADJ
ejpam-3301	289	16	bounds	bound	NOUN
ejpam-3301	289	17	by	by	ADP
ejpam-3301	289	18	newalgo	newalgo	NOUN
ejpam-3301	289	19	figure	figure	NOUN
ejpam-3301	289	20	10	10	NUM
ejpam-3301	289	21	:	:	PUNCT
ejpam-3301	289	22	comparison	comparison	NOUN
ejpam-3301	289	23	of	of	ADP
ejpam-3301	289	24	lower	low	ADJ
ejpam-3301	289	25	and	and	CCONJ
ejpam-3301	289	26	upper	upper	ADJ
ejpam-3301	289	27	bounds	bound	NOUN
ejpam-3301	289	28	of	of	ADP
ejpam-3301	289	29	ssv	ssv	NOUN
ejpam-3301	289	30	appendix	appendix	NOUN
ejpam-3301	289	31	865	865	NUM
ejpam-3301	289	32	0	0	NUM
ejpam-3301	289	33	1	1	NUM
ejpam-3301	289	34	2	2	NUM
ejpam-3301	289	35	3	3	NUM
ejpam-3301	289	36	4	4	NUM
ejpam-3301	289	37	5	5	NUM
ejpam-3301	289	38	2.5	2.5	NUM
ejpam-3301	289	39	3	3	NUM
ejpam-3301	289	40	3.5	3.5	NUM
ejpam-3301	289	41	4	4	NUM
ejpam-3301	289	42	4.5	4.5	NUM
ejpam-3301	289	43	5	5	NUM
ejpam-3301	289	44	5.5	5.5	NUM
ejpam-3301	289	45	6	6	NUM
ejpam-3301	289	46	frequency(rad	frequency(rad	ADJ
ejpam-3301	289	47	/	/	SYM
ejpam-3301	289	48	sec	sec	PROPN
ejpam-3301	289	49	)	)	PUNCT
ejpam-3301	289	50	u	u	NOUN
ejpam-3301	289	51	pp	pp	ADV
ejpam-3301	290	1	er	er	INTJ
ejpam-3301	290	2	/l	/l	PUNCT
ejpam-3301	291	1	ow	ow	INTJ
ejpam-3301	291	2	er	er	INTJ
ejpam-3301	291	3	b	b	PROPN
ejpam-3301	291	4	ou	ou	ADP
ejpam-3301	291	5	nd	nd	NOUN
ejpam-3301	291	6	s	s	NOUN
ejpam-3301	291	7	ssv	ssv	NOUN
ejpam-3301	291	8	upper	upper	ADV
ejpam-3301	291	9	bound	bind	VERB
ejpam-3301	291	10	by	by	ADP
ejpam-3301	291	11	mussv	mussv	ADJ
ejpam-3301	291	12	ssv	ssv	NOUN
ejpam-3301	291	13	lower	low	ADJ
ejpam-3301	291	14	bounds	bound	NOUN
ejpam-3301	291	15	by	by	ADP
ejpam-3301	291	16	mussv	mussv	ADJ
ejpam-3301	291	17	ssv	ssv	NOUN
ejpam-3301	291	18	lower	low	ADJ
ejpam-3301	291	19	bounds	bound	NOUN
ejpam-3301	291	20	by	by	ADP
ejpam-3301	291	21	newalgo	newalgo	NOUN
ejpam-3301	291	22	figure	figure	NOUN
ejpam-3301	291	23	11	11	NUM
ejpam-3301	291	24	:	:	PUNCT
ejpam-3301	291	25	comparison	comparison	NOUN
ejpam-3301	291	26	of	of	ADP
ejpam-3301	291	27	lower	low	ADJ
ejpam-3301	291	28	and	and	CCONJ
ejpam-3301	291	29	upper	upper	ADJ
ejpam-3301	291	30	bounds	bound	NOUN
ejpam-3301	291	31	of	of	ADP
ejpam-3301	291	32	ssv	ssv	NOUN
ejpam-3301	291	33	appendix	appendix	VERB
ejpam-3301	291	34	866	866	NUM
ejpam-3301	291	35	0	0	NUM
ejpam-3301	291	36	0.2	0.2	NUM
ejpam-3301	291	37	0.4	0.4	NUM
ejpam-3301	291	38	0.6	0.6	NUM
ejpam-3301	291	39	0.8	0.8	NUM
ejpam-3301	291	40	1	1	NUM
ejpam-3301	291	41	1.2	1.2	NUM
ejpam-3301	291	42	1.4	1.4	NUM
ejpam-3301	291	43	1.6	1.6	NUM
ejpam-3301	291	44	1.8	1.8	NUM
ejpam-3301	291	45	2	2	NUM
ejpam-3301	291	46	4.5	4.5	NUM
ejpam-3301	291	47	5	5	NUM
ejpam-3301	291	48	5.5	5.5	NUM
ejpam-3301	291	49	6	6	NUM
ejpam-3301	291	50	6.5	6.5	NUM
ejpam-3301	291	51	7	7	NUM
ejpam-3301	291	52	7.5	7.5	NUM
ejpam-3301	291	53	8	8	NUM
ejpam-3301	291	54	frequency(rad	frequency(rad	PROPN
ejpam-3301	291	55	/	/	SYM
ejpam-3301	291	56	sec	sec	PROPN
ejpam-3301	291	57	)	)	PUNCT
ejpam-3301	291	58	u	u	NOUN
ejpam-3301	291	59	pp	pp	ADV
ejpam-3301	291	60	er	er	INTJ
ejpam-3301	291	61	/l	/l	PUNCT
ejpam-3301	292	1	ow	ow	INTJ
ejpam-3301	292	2	er	er	INTJ
ejpam-3301	292	3	b	b	PROPN
ejpam-3301	292	4	ou	ou	ADP
ejpam-3301	292	5	nd	nd	NOUN
ejpam-3301	292	6	s	s	X
ejpam-3301	292	7	upper	upper	ADJ
ejpam-3301	292	8	bounds	bound	NOUN
ejpam-3301	292	9	by	by	ADP
ejpam-3301	292	10	mussv	mussv	ADJ
ejpam-3301	292	11	lower	low	ADJ
ejpam-3301	292	12	bounds	bound	NOUN
ejpam-3301	292	13	by	by	ADP
ejpam-3301	292	14	mussv	mussv	ADJ
ejpam-3301	292	15	upper	upper	ADJ
ejpam-3301	292	16	bounds	bound	NOUN
ejpam-3301	292	17	by	by	ADP
ejpam-3301	292	18	newalgo	newalgo	NOUN
ejpam-3301	292	19	figure	figure	NOUN
ejpam-3301	292	20	12	12	NUM
ejpam-3301	292	21	:	:	PUNCT
ejpam-3301	292	22	comparison	comparison	NOUN
ejpam-3301	292	23	of	of	ADP
ejpam-3301	292	24	lower	low	ADJ
ejpam-3301	292	25	and	and	CCONJ
ejpam-3301	292	26	upper	upper	ADJ
ejpam-3301	292	27	bounds	bound	NOUN
ejpam-3301	292	28	of	of	ADP
ejpam-3301	292	29	ssv	ssv	NOUN
ejpam-3301	292	30	appendix	appendix	VERB
ejpam-3301	292	31	867	867	NUM
ejpam-3301	292	32	0	0	NUM
ejpam-3301	292	33	0.5	0.5	NUM
ejpam-3301	292	34	1	1	NUM
ejpam-3301	292	35	1.5	1.5	NUM
ejpam-3301	292	36	2	2	NUM
ejpam-3301	292	37	2.5	2.5	NUM
ejpam-3301	292	38	3	3	NUM
ejpam-3301	292	39	3.5	3.5	NUM
ejpam-3301	292	40	4	4	NUM
ejpam-3301	292	41	1	1	NUM
ejpam-3301	292	42	1.5	1.5	NUM
ejpam-3301	292	43	2	2	NUM
ejpam-3301	292	44	2.5	2.5	NUM
ejpam-3301	292	45	frequency(rad	frequency(rad	NOUN
ejpam-3301	292	46	/	/	SYM
ejpam-3301	292	47	sec	sec	PROPN
ejpam-3301	292	48	)	)	PUNCT
ejpam-3301	292	49	u	u	NOUN
ejpam-3301	292	50	pp	pp	ADV
ejpam-3301	293	1	er	er	INTJ
ejpam-3301	293	2	/l	/l	PUNCT
ejpam-3301	294	1	ow	ow	INTJ
ejpam-3301	294	2	er	er	INTJ
ejpam-3301	294	3	b	b	PROPN
ejpam-3301	294	4	ou	ou	ADP
ejpam-3301	294	5	nd	nd	NOUN
ejpam-3301	294	6	s	s	NOUN
ejpam-3301	294	7	ssv	ssv	NOUN
ejpam-3301	294	8	upper	upper	ADJ
ejpam-3301	294	9	bounds	bound	NOUN
ejpam-3301	294	10	by	by	ADP
ejpam-3301	294	11	mussv	mussv	ADJ
ejpam-3301	294	12	ssv	ssv	NOUN
ejpam-3301	294	13	lower	low	ADJ
ejpam-3301	294	14	bounds	bound	NOUN
ejpam-3301	294	15	by	by	ADP
ejpam-3301	294	16	mussv	mussv	ADJ
ejpam-3301	294	17	ssv	ssv	NOUN
ejpam-3301	294	18	lower	low	ADJ
ejpam-3301	294	19	bounds	bound	NOUN
ejpam-3301	294	20	by	by	ADP
ejpam-3301	294	21	newalgo	newalgo	NOUN
ejpam-3301	294	22	figure	figure	NOUN
ejpam-3301	294	23	13	13	NUM
ejpam-3301	294	24	:	:	PUNCT
ejpam-3301	294	25	comparison	comparison	NOUN
ejpam-3301	294	26	of	of	ADP
ejpam-3301	294	27	lower	low	ADJ
ejpam-3301	294	28	and	and	CCONJ
ejpam-3301	294	29	upper	upper	ADJ
ejpam-3301	294	30	bounds	bound	NOUN
ejpam-3301	294	31	of	of	ADP
ejpam-3301	294	32	ssv	ssv	NOUN
ejpam-3301	294	33	appendix	appendix	NOUN
ejpam-3301	294	34	868	868	NUM
ejpam-3301	294	35	0	0	NUM
ejpam-3301	294	36	0.2	0.2	NUM
ejpam-3301	294	37	0.4	0.4	NUM
ejpam-3301	294	38	0.6	0.6	NUM
ejpam-3301	294	39	0.8	0.8	NUM
ejpam-3301	294	40	1	1	NUM
ejpam-3301	294	41	1.2	1.2	NUM
ejpam-3301	294	42	1.4	1.4	NUM
ejpam-3301	294	43	1.6	1.6	NUM
ejpam-3301	294	44	1.8	1.8	NUM
ejpam-3301	294	45	2	2	NUM
ejpam-3301	294	46	0	0	NUM
ejpam-3301	294	47	0.5	0.5	NUM
ejpam-3301	294	48	1	1	NUM
ejpam-3301	294	49	1.5	1.5	NUM
ejpam-3301	294	50	2	2	NUM
ejpam-3301	294	51	2.5	2.5	NUM
ejpam-3301	294	52	frequency(rad	frequency(rad	NOUN
ejpam-3301	294	53	/	/	SYM
ejpam-3301	294	54	sec	sec	PROPN
ejpam-3301	294	55	)	)	PUNCT
ejpam-3301	294	56	u	u	NOUN
ejpam-3301	295	1	pp	pp	ADV
ejpam-3301	296	1	er	er	INTJ
ejpam-3301	296	2	/l	/l	PUNCT
ejpam-3301	297	1	ow	ow	INTJ
ejpam-3301	297	2	er	er	INTJ
ejpam-3301	297	3	b	b	PROPN
ejpam-3301	297	4	ou	ou	ADP
ejpam-3301	297	5	nd	nd	NOUN
ejpam-3301	297	6	s	s	X
ejpam-3301	297	7	upper	upper	ADJ
ejpam-3301	297	8	bounds	bound	NOUN
ejpam-3301	297	9	by	by	ADP
ejpam-3301	297	10	mussv	mussv	ADJ
ejpam-3301	297	11	lower	low	ADJ
ejpam-3301	297	12	bounds	bound	NOUN
ejpam-3301	297	13	by	by	ADP
ejpam-3301	297	14	mussv	mussv	ADJ
ejpam-3301	297	15	lower	low	ADJ
ejpam-3301	297	16	bounds	bound	NOUN
ejpam-3301	297	17	by	by	ADP
ejpam-3301	297	18	newalgo	newalgo	NOUN
ejpam-3301	297	19	figure	figure	NOUN
ejpam-3301	297	20	14	14	NUM
ejpam-3301	297	21	:	:	PUNCT
ejpam-3301	297	22	comparison	comparison	NOUN
ejpam-3301	297	23	of	of	ADP
ejpam-3301	297	24	lower	low	ADJ
ejpam-3301	297	25	and	and	CCONJ
ejpam-3301	297	26	upper	upper	ADJ
ejpam-3301	297	27	bounds	bound	NOUN
ejpam-3301	297	28	of	of	ADP
ejpam-3301	297	29	ssv	ssv	NOUN