id	sid	tid	token	lemma	pos
ijassa-1217	1	1	adv	adv	PROPN
ijassa-1217	1	2	syst	syst	PROPN
ijassa-1217	1	3	sci	sci	PROPN
ijassa-1217	1	4	appl	appl	PROPN
ijassa-1217	1	5	2022	2022	NUM
ijassa-1217	1	6	;	;	PUNCT
ijassa-1217	1	7	02:73–84	02:73–84	NOUN
ijassa-1217	1	8	published	publish	VERB
ijassa-1217	1	9	online	online	ADV
ijassa-1217	1	10	at	at	ADP
ijassa-1217	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADV
ijassa-1217	1	12	.	.	PUNCT
ijassa-1217	2	1	accelerating	accelerate	VERB
ijassa-1217	2	2	sequential	sequential	ADJ
ijassa-1217	2	3	quadratic	quadratic	ADJ
ijassa-1217	2	4	programming	programming	NOUN
ijassa-1217	2	5	for	for	ADP
ijassa-1217	2	6	inequality	inequality	NOUN
ijassa-1217	2	7	-	-	PUNCT
ijassa-1217	2	8	constrained	constrain	VERB
ijassa-1217	2	9	optimization	optimization	NOUN
ijassa-1217	2	10	near	near	ADP
ijassa-1217	2	11	critical	critical	ADJ
ijassa-1217	2	12	lagrange	lagrange	NOUN
ijassa-1217	2	13	multipliers	multipliers	PROPN
ijassa-1217	2	14	alexey	alexey	PROPN
ijassa-1217	2	15	f.	f.	PROPN
ijassa-1217	2	16	izmailov1	izmailov1	PROPN
ijassa-1217	2	17	*	*	PROPN
ijassa-1217	2	18	,	,	PUNCT
ijassa-1217	2	19	ivan	ivan	PROPN
ijassa-1217	2	20	s.	s.	PROPN
ijassa-1217	2	21	rodin1	rodin1	PROPN
ijassa-1217	2	22	1lomonosov	1lomonosov	NUM
ijassa-1217	2	23	moscow	moscow	PROPN
ijassa-1217	2	24	state	state	PROPN
ijassa-1217	2	25	university	university	PROPN
ijassa-1217	2	26	,	,	PUNCT
ijassa-1217	2	27	vmk	vmk	NOUN
ijassa-1217	2	28	faculty	faculty	PROPN
ijassa-1217	2	29	,	,	PUNCT
ijassa-1217	2	30	io	io	PROPN
ijassa-1217	2	31	department	department	PROPN
ijassa-1217	2	32	,	,	PUNCT
ijassa-1217	2	33	moscow	moscow	PROPN
ijassa-1217	2	34	,	,	PUNCT
ijassa-1217	2	35	russia	russia	PROPN
ijassa-1217	2	36	abstract	abstract	NOUN
ijassa-1217	2	37	:	:	PUNCT
ijassa-1217	2	38	we	we	PRON
ijassa-1217	2	39	consider	consider	VERB
ijassa-1217	2	40	a	a	DET
ijassa-1217	2	41	sequential	sequential	ADJ
ijassa-1217	2	42	quadratic	quadratic	ADJ
ijassa-1217	2	43	programming	programming	NOUN
ijassa-1217	2	44	algorithm	algorithm	NOUN
ijassa-1217	2	45	for	for	ADP
ijassa-1217	2	46	optimization	optimization	NOUN
ijassa-1217	2	47	problems	problem	NOUN
ijassa-1217	2	48	with	with	ADP
ijassa-1217	2	49	equality	equality	NOUN
ijassa-1217	2	50	and	and	CCONJ
ijassa-1217	2	51	inequality	inequality	NOUN
ijassa-1217	2	52	constraints	constraint	NOUN
ijassa-1217	2	53	,	,	PUNCT
ijassa-1217	2	54	equipped	equip	VERB
ijassa-1217	2	55	with	with	ADP
ijassa-1217	2	56	the	the	DET
ijassa-1217	2	57	standard	standard	ADJ
ijassa-1217	2	58	armijo	armijo	PROPN
ijassa-1217	2	59	linesearch	linesearch	NOUN
ijassa-1217	2	60	procedure	procedure	NOUN
ijassa-1217	2	61	for	for	ADP
ijassa-1217	2	62	a	a	DET
ijassa-1217	2	63	nonsmooth	nonsmooth	ADJ
ijassa-1217	2	64	exact	exact	ADJ
ijassa-1217	2	65	penalty	penalty	NOUN
ijassa-1217	2	66	function	function	NOUN
ijassa-1217	2	67	,	,	PUNCT
ijassa-1217	2	68	intended	intend	VERB
ijassa-1217	2	69	for	for	ADP
ijassa-1217	2	70	globalization	globalization	NOUN
ijassa-1217	2	71	of	of	ADP
ijassa-1217	2	72	convergence	convergence	NOUN
ijassa-1217	2	73	.	.	PUNCT
ijassa-1217	3	1	we	we	PRON
ijassa-1217	3	2	are	be	AUX
ijassa-1217	3	3	interested	interested	ADJ
ijassa-1217	3	4	in	in	ADP
ijassa-1217	3	5	the	the	DET
ijassa-1217	3	6	case	case	NOUN
ijassa-1217	3	7	when	when	SCONJ
ijassa-1217	3	8	the	the	DET
ijassa-1217	3	9	standard	standard	ADJ
ijassa-1217	3	10	assumptions	assumption	VERB
ijassa-1217	3	11	for	for	ADP
ijassa-1217	3	12	local	local	ADJ
ijassa-1217	3	13	superlinear	superlinear	NOUN
ijassa-1217	3	14	convergence	convergence	NOUN
ijassa-1217	3	15	of	of	ADP
ijassa-1217	3	16	the	the	DET
ijassa-1217	3	17	method	method	NOUN
ijassa-1217	3	18	may	may	AUX
ijassa-1217	3	19	not	not	PART
ijassa-1217	3	20	hold	hold	VERB
ijassa-1217	3	21	.	.	PUNCT
ijassa-1217	4	1	specifically	specifically	ADV
ijassa-1217	4	2	,	,	PUNCT
ijassa-1217	4	3	we	we	PRON
ijassa-1217	4	4	allow	allow	VERB
ijassa-1217	4	5	for	for	ADP
ijassa-1217	4	6	violation	violation	NOUN
ijassa-1217	4	7	of	of	ADP
ijassa-1217	4	8	standard	standard	ADJ
ijassa-1217	4	9	constraint	constraint	NOUN
ijassa-1217	4	10	qualifications	qualification	NOUN
ijassa-1217	4	11	and	and	CCONJ
ijassa-1217	4	12	second	second	ADJ
ijassa-1217	4	13	-	-	PUNCT
ijassa-1217	4	14	order	order	NOUN
ijassa-1217	4	15	sufficient	sufficient	ADJ
ijassa-1217	4	16	optimality	optimality	NOUN
ijassa-1217	4	17	conditions	condition	NOUN
ijassa-1217	4	18	,	,	PUNCT
ijassa-1217	4	19	in	in	ADP
ijassa-1217	4	20	which	which	DET
ijassa-1217	4	21	case	case	NOUN
ijassa-1217	4	22	attraction	attraction	NOUN
ijassa-1217	4	23	to	to	ADP
ijassa-1217	4	24	so	so	ADV
ijassa-1217	4	25	-	-	PUNCT
ijassa-1217	4	26	called	call	VERB
ijassa-1217	4	27	critical	critical	ADJ
ijassa-1217	4	28	lagrange	lagrange	NOUN
ijassa-1217	4	29	multipliers	multiplier	NOUN
ijassa-1217	4	30	is	be	AUX
ijassa-1217	4	31	known	know	VERB
ijassa-1217	4	32	to	to	PART
ijassa-1217	4	33	have	have	VERB
ijassa-1217	4	34	a	a	DET
ijassa-1217	4	35	negative	negative	ADJ
ijassa-1217	4	36	impact	impact	NOUN
ijassa-1217	4	37	on	on	ADP
ijassa-1217	4	38	convergence	convergence	NOUN
ijassa-1217	4	39	rate	rate	NOUN
ijassa-1217	4	40	.	.	PUNCT
ijassa-1217	5	1	in	in	ADP
ijassa-1217	5	2	these	these	DET
ijassa-1217	5	3	circumstances	circumstance	NOUN
ijassa-1217	5	4	,	,	PUNCT
ijassa-1217	5	5	some	some	DET
ijassa-1217	5	6	known	know	VERB
ijassa-1217	5	7	acceleration	acceleration	NOUN
ijassa-1217	5	8	techniques	technique	NOUN
ijassa-1217	5	9	can	can	AUX
ijassa-1217	5	10	be	be	AUX
ijassa-1217	5	11	expected	expect	VERB
ijassa-1217	5	12	to	to	PART
ijassa-1217	5	13	take	take	VERB
ijassa-1217	5	14	effect	effect	NOUN
ijassa-1217	5	15	only	only	ADV
ijassa-1217	5	16	provided	provide	VERB
ijassa-1217	5	17	the	the	DET
ijassa-1217	5	18	true	true	ADJ
ijassa-1217	5	19	hessian	hessian	NOUN
ijassa-1217	5	20	and	and	CCONJ
ijassa-1217	5	21	the	the	DET
ijassa-1217	5	22	full	full	ADJ
ijassa-1217	5	23	sqp	sqp	PROPN
ijassa-1217	5	24	step	step	NOUN
ijassa-1217	5	25	are	be	AUX
ijassa-1217	5	26	asymptotically	asymptotically	ADV
ijassa-1217	5	27	accepted	accept	VERB
ijassa-1217	5	28	,	,	PUNCT
ijassa-1217	5	29	and	and	CCONJ
ijassa-1217	5	30	these	these	PRON
ijassa-1217	5	31	are	be	AUX
ijassa-1217	5	32	the	the	DET
ijassa-1217	5	33	main	main	ADJ
ijassa-1217	5	34	issues	issue	NOUN
ijassa-1217	5	35	addressed	address	VERB
ijassa-1217	5	36	in	in	ADP
ijassa-1217	5	37	this	this	DET
ijassa-1217	5	38	work	work	NOUN
ijassa-1217	5	39	.	.	PUNCT
ijassa-1217	6	1	the	the	DET
ijassa-1217	6	2	presented	present	VERB
ijassa-1217	6	3	constructions	construction	NOUN
ijassa-1217	6	4	extend	extend	VERB
ijassa-1217	6	5	some	some	DET
ijassa-1217	6	6	previously	previously	ADV
ijassa-1217	6	7	known	know	VERB
ijassa-1217	6	8	ones	one	NOUN
ijassa-1217	6	9	to	to	ADP
ijassa-1217	6	10	the	the	DET
ijassa-1217	6	11	case	case	NOUN
ijassa-1217	6	12	when	when	SCONJ
ijassa-1217	6	13	inequality	inequality	NOUN
ijassa-1217	6	14	constraints	constraint	NOUN
ijassa-1217	6	15	are	be	AUX
ijassa-1217	6	16	involved	involve	VERB
ijassa-1217	6	17	.	.	PUNCT
ijassa-1217	7	1	keywords	keyword	NOUN
ijassa-1217	7	2	:	:	PUNCT
ijassa-1217	7	3	constrained	constrained	ADJ
ijassa-1217	7	4	optimization	optimization	NOUN
ijassa-1217	7	5	,	,	PUNCT
ijassa-1217	7	6	karush	karush	PROPN
ijassa-1217	7	7	–	–	PUNCT
ijassa-1217	7	8	kuhn	kuhn	PROPN
ijassa-1217	7	9	–	–	PUNCT
ijassa-1217	7	10	tucker	tucker	NOUN
ijassa-1217	7	11	optimality	optimality	NOUN
ijassa-1217	7	12	system	system	NOUN
ijassa-1217	7	13	,	,	PUNCT
ijassa-1217	7	14	critical	critical	ADJ
ijassa-1217	7	15	lagrange	lagrange	NOUN
ijassa-1217	7	16	multiplier	multipli	ADJ
ijassa-1217	7	17	,	,	PUNCT
ijassa-1217	7	18	2	2	NUM
ijassa-1217	7	19	-	-	PUNCT
ijassa-1217	7	20	regularity	regularity	NOUN
ijassa-1217	7	21	,	,	PUNCT
ijassa-1217	7	22	newton	newton	NOUN
ijassa-1217	7	23	-	-	PUNCT
ijassa-1217	7	24	type	type	NOUN
ijassa-1217	7	25	methods	method	NOUN
ijassa-1217	7	26	,	,	PUNCT
ijassa-1217	7	27	sequential	sequential	ADJ
ijassa-1217	7	28	quadratic	quadratic	ADJ
ijassa-1217	7	29	programming	programming	NOUN
ijassa-1217	7	30	,	,	PUNCT
ijassa-1217	7	31	linesearch	linesearch	NOUN
ijassa-1217	7	32	globalization	globalization	NOUN
ijassa-1217	7	33	of	of	ADP
ijassa-1217	7	34	convergence	convergence	NOUN
ijassa-1217	7	35	,	,	PUNCT
ijassa-1217	7	36	merit	merit	NOUN
ijassa-1217	7	37	function	function	NOUN
ijassa-1217	7	38	,	,	PUNCT
ijassa-1217	7	39	nonsmooth	nonsmooth	ADJ
ijassa-1217	7	40	exact	exact	ADJ
ijassa-1217	7	41	penalty	penalty	NOUN
ijassa-1217	7	42	function	function	NOUN
ijassa-1217	7	43	,	,	PUNCT
ijassa-1217	7	44	true	true	ADJ
ijassa-1217	7	45	hessian	hessian	NOUN
ijassa-1217	7	46	,	,	PUNCT
ijassa-1217	7	47	unit	unit	NOUN
ijassa-1217	7	48	stepsize	stepsize	NOUN
ijassa-1217	7	49	,	,	PUNCT
ijassa-1217	7	50	extrapolation	extrapolation	NOUN
ijassa-1217	7	51	1	1	NUM
ijassa-1217	7	52	.	.	PUNCT
ijassa-1217	7	53	introduction	introduction	NOUN
ijassa-1217	7	54	in	in	ADP
ijassa-1217	7	55	this	this	DET
ijassa-1217	7	56	work	work	NOUN
ijassa-1217	7	57	we	we	PRON
ijassa-1217	7	58	consider	consider	VERB
ijassa-1217	7	59	the	the	DET
ijassa-1217	7	60	equalityand	equalityand	NOUN
ijassa-1217	7	61	inequality	inequality	NOUN
ijassa-1217	7	62	-	-	PUNCT
ijassa-1217	7	63	constrained	constrain	VERB
ijassa-1217	7	64	optimization	optimization	NOUN
ijassa-1217	7	65	problem	problem	NOUN
ijassa-1217	7	66	minimize	minimize	VERB
ijassa-1217	7	67	f(x	f(x	PROPN
ijassa-1217	7	68	)	)	PUNCT
ijassa-1217	7	69	subject	subject	NOUN
ijassa-1217	7	70	to	to	ADP
ijassa-1217	7	71	h(x	h(x	PROPN
ijassa-1217	7	72	)	)	PUNCT
ijassa-1217	8	1	=	=	SYM
ijassa-1217	8	2	0	0	NUM
ijassa-1217	8	3	,	,	PUNCT
ijassa-1217	8	4	g(x	g(x	NOUN
ijassa-1217	8	5	)	)	PUNCT
ijassa-1217	8	6	≤	≤	NOUN
ijassa-1217	8	7	0	0	NUM
ijassa-1217	8	8	,	,	PUNCT
ijassa-1217	8	9	(	(	PUNCT
ijassa-1217	8	10	1.1	1.1	NUM
ijassa-1217	8	11	)	)	PUNCT
ijassa-1217	8	12	where	where	SCONJ
ijassa-1217	8	13	the	the	DET
ijassa-1217	8	14	objective	objective	ADJ
ijassa-1217	8	15	function	function	NOUN
ijassa-1217	8	16	f	f	PROPN
ijassa-1217	8	17	:	:	PUNCT
ijassa-1217	8	18	rn	rn	PROPN
ijassa-1217	8	19	→	→	SYM
ijassa-1217	8	20	r	r	NOUN
ijassa-1217	8	21	and	and	CCONJ
ijassa-1217	8	22	the	the	DET
ijassa-1217	8	23	constraint	constraint	NOUN
ijassa-1217	8	24	mappings	mapping	NOUN
ijassa-1217	8	25	h	h	NOUN
ijassa-1217	8	26	:	:	PUNCT
ijassa-1217	8	27	rn	rn	PROPN
ijassa-1217	8	28	→	→	SYM
ijassa-1217	8	29	rl	rl	PROPN
ijassa-1217	8	30	and	and	CCONJ
ijassa-1217	8	31	g	g	PROPN
ijassa-1217	8	32	:	:	PUNCT
ijassa-1217	8	33	rn	rn	PROPN
ijassa-1217	8	34	→	→	SYM
ijassa-1217	8	35	rm	rm	PROPN
ijassa-1217	8	36	are	be	AUX
ijassa-1217	8	37	sufficiently	sufficiently	ADV
ijassa-1217	8	38	smooth	smooth	ADJ
ijassa-1217	8	39	,	,	PUNCT
ijassa-1217	8	40	and	and	CCONJ
ijassa-1217	8	41	we	we	PRON
ijassa-1217	8	42	are	be	AUX
ijassa-1217	8	43	concerned	concerned	ADJ
ijassa-1217	8	44	with	with	ADP
ijassa-1217	8	45	some	some	DET
ijassa-1217	8	46	crucial	crucial	ADJ
ijassa-1217	8	47	peculiarities	peculiarity	NOUN
ijassa-1217	8	48	of	of	ADP
ijassa-1217	8	49	performance	performance	NOUN
ijassa-1217	8	50	of	of	ADP
ijassa-1217	8	51	newton	newton	NOUN
ijassa-1217	8	52	-	-	PUNCT
ijassa-1217	8	53	type	type	NOUN
ijassa-1217	8	54	methods	method	NOUN
ijassa-1217	8	55	near	near	ADP
ijassa-1217	8	56	solutions	solution	NOUN
ijassa-1217	8	57	or	or	CCONJ
ijassa-1217	8	58	stationary	stationary	ADJ
ijassa-1217	8	59	points	point	NOUN
ijassa-1217	8	60	of	of	ADP
ijassa-1217	8	61	problem	problem	NOUN
ijassa-1217	8	62	(	(	PUNCT
ijassa-1217	8	63	1.1	1.1	NUM
ijassa-1217	8	64	)	)	PUNCT
ijassa-1217	8	65	that	that	PRON
ijassa-1217	8	66	are	be	AUX
ijassa-1217	8	67	in	in	ADP
ijassa-1217	8	68	a	a	DET
ijassa-1217	8	69	sense	sense	NOUN
ijassa-1217	8	70	singular	singular	NOUN
ijassa-1217	8	71	.	.	PUNCT
ijassa-1217	9	1	let	let	VERB
ijassa-1217	9	2	l	l	NOUN
ijassa-1217	9	3	:	:	PUNCT
ijassa-1217	10	1	rn	rn	PROPN
ijassa-1217	10	2	×	×	PROPN
ijassa-1217	10	3	rl	rl	PROPN
ijassa-1217	10	4	×	×	PROPN
ijassa-1217	10	5	rm	rm	PROPN
ijassa-1217	10	6	→	→	PUNCT
ijassa-1217	10	7	r	r	NOUN
ijassa-1217	10	8	be	be	VERB
ijassa-1217	10	9	the	the	DET
ijassa-1217	10	10	lagrangian	lagrangian	NOUN
ijassa-1217	10	11	of	of	ADP
ijassa-1217	10	12	problem	problem	NOUN
ijassa-1217	10	13	(	(	PUNCT
ijassa-1217	10	14	1.1	1.1	NUM
ijassa-1217	10	15	)	)	PUNCT
ijassa-1217	10	16	,	,	PUNCT
ijassa-1217	10	17	i.e.	i.e.	X
ijassa-1217	10	18	,	,	PUNCT
ijassa-1217	10	19	l(x	l(x	PROPN
ijassa-1217	10	20	,	,	PUNCT
ijassa-1217	10	21	λ	λ	NOUN
ijassa-1217	10	22	)	)	PUNCT
ijassa-1217	10	23	=	=	SYM
ijassa-1217	10	24	f(x	f(x	PROPN
ijassa-1217	10	25	)	)	PUNCT
ijassa-1217	11	1	+	+	CCONJ
ijassa-1217	11	2	〈	〈	PROPN
ijassa-1217	11	3	λ	λ	PROPN
ijassa-1217	11	4	,	,	PUNCT
ijassa-1217	11	5	h(x)〉+	h(x)〉+	PUNCT
ijassa-1217	11	6	〈	〈	PROPN
ijassa-1217	11	7	µ	µ	PRON
ijassa-1217	11	8	,	,	PUNCT
ijassa-1217	11	9	g(x	g(x	NOUN
ijassa-1217	11	10	)	)	PUNCT
ijassa-1217	11	11	〉	〉	PROPN
ijassa-1217	11	12	,	,	PUNCT
ijassa-1217	11	13	where	where	SCONJ
ijassa-1217	11	14	〈	〈	PROPN
ijassa-1217	11	15	·	·	SYM
ijassa-1217	11	16	,	,	PUNCT
ijassa-1217	11	17	·	·	PUNCT
ijassa-1217	11	18	〉	〉	PROPN
ijassa-1217	11	19	stands	stand	VERB
ijassa-1217	11	20	for	for	ADP
ijassa-1217	11	21	the	the	DET
ijassa-1217	11	22	euclidian	euclidian	ADJ
ijassa-1217	11	23	inner	inner	ADJ
ijassa-1217	11	24	product	product	NOUN
ijassa-1217	11	25	.	.	PUNCT
ijassa-1217	12	1	then	then	ADV
ijassa-1217	12	2	the	the	DET
ijassa-1217	12	3	stationary	stationary	ADJ
ijassa-1217	12	4	points	point	NOUN
ijassa-1217	12	5	and	and	CCONJ
ijassa-1217	12	6	associated	associated	ADJ
ijassa-1217	12	7	lagrange	lagrange	NOUN
ijassa-1217	12	8	multipliers	multiplier	NOUN
ijassa-1217	12	9	of	of	ADP
ijassa-1217	12	10	problem	problem	NOUN
ijassa-1217	12	11	(	(	PUNCT
ijassa-1217	12	12	1.1	1.1	NUM
ijassa-1217	12	13	)	)	PUNCT
ijassa-1217	12	14	are	be	AUX
ijassa-1217	12	15	characterized	characterize	VERB
ijassa-1217	12	16	by	by	ADP
ijassa-1217	12	17	the	the	DET
ijassa-1217	12	18	karush	karush	PROPN
ijassa-1217	12	19	–	–	PUNCT
ijassa-1217	12	20	kuhn	kuhn	PROPN
ijassa-1217	12	21	–	–	PUNCT
ijassa-1217	12	22	tucker	tucker	PROPN
ijassa-1217	12	23	(	(	PUNCT
ijassa-1217	12	24	kkt	kkt	PROPN
ijassa-1217	12	25	)	)	PUNCT
ijassa-1217	12	26	optimality	optimality	NOUN
ijassa-1217	12	27	system	system	NOUN
ijassa-1217	12	28	∂l	∂l	NOUN
ijassa-1217	12	29	∂x	∂x	PROPN
ijassa-1217	12	30	(	(	PUNCT
ijassa-1217	12	31	x	x	NOUN
ijassa-1217	12	32	,	,	PUNCT
ijassa-1217	12	33	λ	λ	PROPN
ijassa-1217	12	34	,	,	PUNCT
ijassa-1217	12	35	µ	µ	NOUN
ijassa-1217	12	36	)	)	PUNCT
ijassa-1217	12	37	=	=	SYM
ijassa-1217	12	38	0	0	NUM
ijassa-1217	12	39	,	,	PUNCT
ijassa-1217	12	40	h(x	h(x	PROPN
ijassa-1217	12	41	)	)	PUNCT
ijassa-1217	12	42	=	=	SYM
ijassa-1217	12	43	0	0	NUM
ijassa-1217	12	44	,	,	PUNCT
ijassa-1217	12	45	µ	µ	X
ijassa-1217	12	46	≥	≥	NOUN
ijassa-1217	12	47	0	0	NUM
ijassa-1217	12	48	,	,	PUNCT
ijassa-1217	12	49	g(x	g(x	NOUN
ijassa-1217	12	50	)	)	PUNCT
ijassa-1217	12	51	≤	≤	NOUN
ijassa-1217	12	52	0	0	NUM
ijassa-1217	12	53	,	,	PUNCT
ijassa-1217	12	54	〈	〈	PROPN
ijassa-1217	12	55	µ	µ	X
ijassa-1217	12	56	,	,	PUNCT
ijassa-1217	12	57	g(x	g(x	NOUN
ijassa-1217	12	58	)	)	PUNCT
ijassa-1217	12	59	〉	〉	NOUN
ijassa-1217	12	60	=	=	SYM
ijassa-1217	12	61	0	0	PROPN
ijassa-1217	12	62	.	.	PUNCT
ijassa-1217	13	1	(	(	PUNCT
ijassa-1217	13	2	1.2	1.2	NUM
ijassa-1217	13	3	)	)	PUNCT
ijassa-1217	13	4	∗corresponding	∗corresponde	VERB
ijassa-1217	13	5	author	author	NOUN
ijassa-1217	13	6	:	:	PUNCT
ijassa-1217	13	7	izmaf@cs.msu.ru	izmaf@cs.msu.ru	ADJ
ijassa-1217	13	8	74	74	NUM
ijassa-1217	13	9	a.	a.	NOUN
ijassa-1217	13	10	f.	f.	PROPN
ijassa-1217	13	11	izmailov	izmailov	PROPN
ijassa-1217	13	12	,	,	PUNCT
ijassa-1217	14	1	i.	i.	PROPN
ijassa-1217	14	2	s.	s.	PROPN
ijassa-1217	14	3	rodin	rodin	PROPN
ijassa-1217	14	4	for	for	ADP
ijassa-1217	14	5	a	a	DET
ijassa-1217	14	6	feasible	feasible	ADJ
ijassa-1217	14	7	point	point	NOUN
ijassa-1217	14	8	x̄	x̄	NOUN
ijassa-1217	14	9	of	of	ADP
ijassa-1217	14	10	problem	problem	NOUN
ijassa-1217	14	11	(	(	PUNCT
ijassa-1217	14	12	1.1	1.1	NUM
ijassa-1217	14	13	)	)	PUNCT
ijassa-1217	14	14	,	,	PUNCT
ijassa-1217	14	15	the	the	DET
ijassa-1217	14	16	linear	linear	ADJ
ijassa-1217	14	17	independence	independence	NOUN
ijassa-1217	14	18	constraint	constraint	NOUN
ijassa-1217	14	19	qualification	qualification	NOUN
ijassa-1217	14	20	(	(	PUNCT
ijassa-1217	14	21	licq	licq	PROPN
ijassa-1217	14	22	)	)	PUNCT
ijassa-1217	14	23	consists	consist	VERB
ijassa-1217	14	24	of	of	ADP
ijassa-1217	14	25	saying	say	VERB
ijassa-1217	14	26	that	that	SCONJ
ijassa-1217	14	27	the	the	DET
ijassa-1217	14	28	gradients	gradient	NOUN
ijassa-1217	14	29	h′j(x̄	h′j(x̄	PRON
ijassa-1217	14	30	)	)	PUNCT
ijassa-1217	14	31	,	,	PUNCT
ijassa-1217	14	32	j	j	PROPN
ijassa-1217	14	33	∈	∈	PROPN
ijassa-1217	14	34	{	{	PUNCT
ijassa-1217	14	35	1	1	NUM
ijassa-1217	14	36	,	,	PUNCT
ijassa-1217	14	37	.	.	PUNCT
ijassa-1217	14	38	.	.	PUNCT
ijassa-1217	15	1	.	.	PUNCT
ijassa-1217	16	1	,	,	PUNCT
ijassa-1217	16	2	l	l	NOUN
ijassa-1217	16	3	}	}	PUNCT
ijassa-1217	16	4	,	,	PUNCT
ijassa-1217	16	5	g′i(x̄	g′i(x̄	X
ijassa-1217	16	6	)	)	PUNCT
ijassa-1217	16	7	,	,	PUNCT
ijassa-1217	16	8	i	i	PRON
ijassa-1217	16	9	∈	∈	PROPN
ijassa-1217	16	10	a(x̄	a(x̄	PROPN
ijassa-1217	16	11	)	)	PUNCT
ijassa-1217	16	12	,	,	PUNCT
ijassa-1217	16	13	are	be	AUX
ijassa-1217	16	14	linearly	linearly	ADV
ijassa-1217	16	15	independent	independent	ADJ
ijassa-1217	16	16	,	,	PUNCT
ijassa-1217	16	17	where	where	SCONJ
ijassa-1217	16	18	a(x̄	a(x̄	NOUN
ijassa-1217	16	19	)	)	PUNCT
ijassa-1217	17	1	=	=	PRON
ijassa-1217	17	2	{	{	PUNCT
ijassa-1217	17	3	i	i	NOUN
ijassa-1217	17	4	∈	∈	PROPN
ijassa-1217	17	5	{	{	PUNCT
ijassa-1217	17	6	1	1	NUM
ijassa-1217	17	7	,	,	PUNCT
ijassa-1217	17	8	.	.	PUNCT
ijassa-1217	17	9	.	.	PUNCT
ijassa-1217	17	10	.	.	PUNCT
ijassa-1217	18	1	,	,	PUNCT
ijassa-1217	18	2	m	m	VERB
ijassa-1217	18	3	}	}	PUNCT
ijassa-1217	18	4	|	|	ADV
ijassa-1217	18	5	gi(x̄	gi(x̄	PROPN
ijassa-1217	18	6	)	)	PUNCT
ijassa-1217	18	7	=	=	SYM
ijassa-1217	18	8	0	0	X
ijassa-1217	18	9	}	}	PUNCT
ijassa-1217	18	10	is	be	AUX
ijassa-1217	18	11	the	the	DET
ijassa-1217	18	12	set	set	NOUN
ijassa-1217	18	13	of	of	ADP
ijassa-1217	18	14	indices	index	NOUN
ijassa-1217	18	15	of	of	ADP
ijassa-1217	18	16	inequality	inequality	NOUN
ijassa-1217	18	17	constraints	constraint	NOUN
ijassa-1217	18	18	active	active	ADJ
ijassa-1217	18	19	at	at	ADP
ijassa-1217	18	20	x̄.	x̄.	PUNCT
ijassa-1217	18	21	if	if	SCONJ
ijassa-1217	18	22	x̄	x̄	PRON
ijassa-1217	18	23	is	be	AUX
ijassa-1217	18	24	a	a	DET
ijassa-1217	18	25	local	local	ADJ
ijassa-1217	18	26	solution	solution	NOUN
ijassa-1217	18	27	of	of	ADP
ijassa-1217	18	28	(	(	PUNCT
ijassa-1217	18	29	1.1	1.1	NUM
ijassa-1217	18	30	)	)	PUNCT
ijassa-1217	18	31	,	,	PUNCT
ijassa-1217	18	32	satisfying	satisfying	NOUN
ijassa-1217	18	33	licq	licq	NOUN
ijassa-1217	18	34	,	,	PUNCT
ijassa-1217	18	35	then	then	ADV
ijassa-1217	18	36	there	there	PRON
ijassa-1217	18	37	exists	exist	VERB
ijassa-1217	18	38	the	the	DET
ijassa-1217	18	39	unique	unique	ADJ
ijassa-1217	18	40	pair	pair	NOUN
ijassa-1217	18	41	(	(	PUNCT
ijassa-1217	18	42	λ̄	λ̄	ADJ
ijassa-1217	18	43	,	,	PUNCT
ijassa-1217	18	44	µ̄	µ̄	ADJ
ijassa-1217	18	45	)	)	PUNCT
ijassa-1217	18	46	∈	∈	PROPN
ijassa-1217	18	47	rl	rl	ADP
ijassa-1217	18	48	×	×	PROPN
ijassa-1217	18	49	rm	rm	PROPN
ijassa-1217	18	50	such	such	ADJ
ijassa-1217	18	51	that	that	SCONJ
ijassa-1217	18	52	the	the	DET
ijassa-1217	18	53	triple	triple	ADJ
ijassa-1217	18	54	(	(	PUNCT
ijassa-1217	18	55	x̄	x̄	NOUN
ijassa-1217	18	56	,	,	PUNCT
ijassa-1217	18	57	λ̄	λ̄	ADP
ijassa-1217	18	58	,	,	PUNCT
ijassa-1217	18	59	µ̄	µ̄	PROPN
ijassa-1217	18	60	)	)	PUNCT
ijassa-1217	18	61	solves	solve	NOUN
ijassa-1217	18	62	(	(	PUNCT
ijassa-1217	18	63	1.2	1.2	NUM
ijassa-1217	18	64	)	)	PUNCT
ijassa-1217	18	65	.	.	PUNCT
ijassa-1217	19	1	in	in	ADP
ijassa-1217	19	2	this	this	DET
ijassa-1217	19	3	work	work	NOUN
ijassa-1217	19	4	,	,	PUNCT
ijassa-1217	19	5	we	we	PRON
ijassa-1217	19	6	are	be	AUX
ijassa-1217	19	7	mostly	mostly	ADV
ijassa-1217	19	8	interested	interested	ADJ
ijassa-1217	19	9	in	in	ADP
ijassa-1217	19	10	the	the	DET
ijassa-1217	19	11	case	case	NOUN
ijassa-1217	19	12	when	when	SCONJ
ijassa-1217	19	13	licq	licq	NOUN
ijassa-1217	19	14	does	do	AUX
ijassa-1217	19	15	not	not	PART
ijassa-1217	19	16	hold	hold	VERB
ijassa-1217	19	17	,	,	PUNCT
ijassa-1217	19	18	but	but	CCONJ
ijassa-1217	19	19	x̄	x̄	PRON
ijassa-1217	19	20	is	be	AUX
ijassa-1217	19	21	stationary	stationary	ADJ
ijassa-1217	19	22	for	for	ADP
ijassa-1217	19	23	(	(	PUNCT
ijassa-1217	19	24	1.1	1.1	NUM
ijassa-1217	19	25	)	)	PUNCT
ijassa-1217	19	26	with	with	ADP
ijassa-1217	19	27	some	some	DET
ijassa-1217	19	28	(	(	PUNCT
ijassa-1217	19	29	possibly	possibly	ADV
ijassa-1217	19	30	nonunique	nonunique	ADJ
ijassa-1217	19	31	)	)	PUNCT
ijassa-1217	19	32	associated	associate	VERB
ijassa-1217	19	33	lagrange	lagrange	NOUN
ijassa-1217	19	34	multiplier	multiplier	ADV
ijassa-1217	19	35	.	.	PUNCT
ijassa-1217	20	1	in	in	ADP
ijassa-1217	20	2	this	this	DET
ijassa-1217	20	3	case	case	NOUN
ijassa-1217	20	4	,	,	PUNCT
ijassa-1217	20	5	the	the	DET
ijassa-1217	20	6	set	set	NOUN
ijassa-1217	20	7	of	of	ADP
ijassa-1217	20	8	lagrange	lagrange	NOUN
ijassa-1217	20	9	multipliers	multiplier	NOUN
ijassa-1217	20	10	may	may	AUX
ijassa-1217	20	11	naturally	naturally	ADV
ijassa-1217	20	12	contain	contain	VERB
ijassa-1217	20	13	some	some	DET
ijassa-1217	20	14	special	special	ADJ
ijassa-1217	20	15	instances	instance	NOUN
ijassa-1217	20	16	,	,	PUNCT
ijassa-1217	20	17	called	call	VERB
ijassa-1217	20	18	critical	critical	ADJ
ijassa-1217	20	19	multipliers	multiplier	NOUN
ijassa-1217	20	20	(	(	PUNCT
ijassa-1217	20	21	to	to	PART
ijassa-1217	20	22	be	be	AUX
ijassa-1217	20	23	defined	define	VERB
ijassa-1217	20	24	formally	formally	ADV
ijassa-1217	20	25	in	in	ADP
ijassa-1217	20	26	section	section	NOUN
ijassa-1217	20	27	2	2	NUM
ijassa-1217	20	28	below	below	ADV
ijassa-1217	20	29	)	)	PUNCT
ijassa-1217	20	30	,	,	PUNCT
ijassa-1217	20	31	that	that	PRON
ijassa-1217	20	32	are	be	AUX
ijassa-1217	20	33	known	know	VERB
ijassa-1217	20	34	to	to	PART
ijassa-1217	20	35	strongly	strongly	ADV
ijassa-1217	20	36	attract	attract	VERB
ijassa-1217	20	37	dual	dual	ADJ
ijassa-1217	20	38	sequences	sequence	NOUN
ijassa-1217	20	39	of	of	ADP
ijassa-1217	20	40	various	various	ADJ
ijassa-1217	20	41	primal	primal	ADJ
ijassa-1217	20	42	-	-	PUNCT
ijassa-1217	20	43	dual	dual	ADJ
ijassa-1217	20	44	optimization	optimization	NOUN
ijassa-1217	20	45	algorithms	algorithm	NOUN
ijassa-1217	20	46	,	,	PUNCT
ijassa-1217	20	47	and	and	CCONJ
ijassa-1217	20	48	this	this	DET
ijassa-1217	20	49	phenomenon	phenomenon	NOUN
ijassa-1217	20	50	has	have	VERB
ijassa-1217	20	51	a	a	DET
ijassa-1217	20	52	strong	strong	ADJ
ijassa-1217	20	53	negative	negative	ADJ
ijassa-1217	20	54	impact	impact	NOUN
ijassa-1217	20	55	on	on	ADP
ijassa-1217	20	56	convergence	convergence	NOUN
ijassa-1217	20	57	rate	rate	NOUN
ijassa-1217	20	58	;	;	PUNCT
ijassa-1217	20	59	see	see	VERB
ijassa-1217	20	60	[	[	X
ijassa-1217	20	61	14–16	14–16	NUM
ijassa-1217	20	62	]	]	X
ijassa-1217	20	63	and	and	CCONJ
ijassa-1217	20	64	the	the	DET
ijassa-1217	20	65	summaries	summary	NOUN
ijassa-1217	20	66	of	of	ADP
ijassa-1217	20	67	this	this	DET
ijassa-1217	20	68	research	research	NOUN
ijassa-1217	20	69	in	in	ADP
ijassa-1217	20	70	[	[	X
ijassa-1217	20	71	18	18	NUM
ijassa-1217	20	72	,	,	PUNCT
ijassa-1217	20	73	section	section	NOUN
ijassa-1217	20	74	7.1	7.1	NUM
ijassa-1217	20	75	]	]	PUNCT
ijassa-1217	20	76	and	and	CCONJ
ijassa-1217	20	77	[	[	X
ijassa-1217	20	78	19	19	NUM
ijassa-1217	20	79	]	]	PUNCT
ijassa-1217	20	80	.	.	PUNCT
ijassa-1217	21	1	the	the	DET
ijassa-1217	21	2	effect	effect	NOUN
ijassa-1217	21	3	of	of	ADP
ijassa-1217	21	4	attraction	attraction	NOUN
ijassa-1217	21	5	to	to	ADP
ijassa-1217	21	6	critical	critical	ADJ
ijassa-1217	21	7	multipliers	multiplier	NOUN
ijassa-1217	21	8	can	can	AUX
ijassa-1217	21	9	be	be	AUX
ijassa-1217	21	10	locally	locally	ADV
ijassa-1217	21	11	avoided	avoid	VERB
ijassa-1217	21	12	by	by	ADP
ijassa-1217	21	13	using	use	VERB
ijassa-1217	21	14	some	some	DET
ijassa-1217	21	15	dual	dual	ADJ
ijassa-1217	21	16	stabilization	stabilization	NOUN
ijassa-1217	21	17	mechanisms	mechanism	NOUN
ijassa-1217	21	18	,	,	PUNCT
ijassa-1217	21	19	like	like	ADP
ijassa-1217	21	20	the	the	DET
ijassa-1217	21	21	one	one	NUM
ijassa-1217	21	22	of	of	ADP
ijassa-1217	21	23	the	the	DET
ijassa-1217	21	24	stabilized	stabilize	VERB
ijassa-1217	21	25	sequential	sequential	ADJ
ijassa-1217	21	26	quadratic	quadratic	ADJ
ijassa-1217	21	27	programming	programming	NOUN
ijassa-1217	21	28	method	method	NOUN
ijassa-1217	21	29	;	;	PUNCT
ijassa-1217	21	30	see	see	VERB
ijassa-1217	21	31	the	the	DET
ijassa-1217	21	32	original	original	ADJ
ijassa-1217	21	33	proposals	proposal	NOUN
ijassa-1217	21	34	in	in	ADP
ijassa-1217	21	35	[	[	X
ijassa-1217	21	36	22	22	NUM
ijassa-1217	21	37	,	,	PUNCT
ijassa-1217	21	38	24	24	NUM
ijassa-1217	21	39	]	]	PUNCT
ijassa-1217	21	40	,	,	PUNCT
ijassa-1217	21	41	as	as	ADV
ijassa-1217	21	42	well	well	ADV
ijassa-1217	21	43	as	as	ADP
ijassa-1217	21	44	a	a	DET
ijassa-1217	21	45	more	more	ADV
ijassa-1217	21	46	recent	recent	ADJ
ijassa-1217	21	47	treatment	treatment	NOUN
ijassa-1217	21	48	in	in	ADP
ijassa-1217	21	49	[	[	X
ijassa-1217	21	50	17	17	NUM
ijassa-1217	21	51	]	]	PUNCT
ijassa-1217	21	52	and	and	CCONJ
ijassa-1217	21	53	[	[	X
ijassa-1217	21	54	18	18	NUM
ijassa-1217	21	55	,	,	PUNCT
ijassa-1217	21	56	section	section	NOUN
ijassa-1217	21	57	7.2.2	7.2.2	NUM
ijassa-1217	21	58	]	]	X
ijassa-1217	21	59	.	.	PUNCT
ijassa-1217	22	1	however	however	ADV
ijassa-1217	22	2	,	,	PUNCT
ijassa-1217	22	3	even	even	ADV
ijassa-1217	22	4	such	such	ADJ
ijassa-1217	22	5	modified	modified	ADJ
ijassa-1217	22	6	algorithms	algorithm	NOUN
ijassa-1217	22	7	typically	typically	ADV
ijassa-1217	22	8	have	have	VERB
ijassa-1217	22	9	large	large	ADJ
ijassa-1217	22	10	domains	domain	NOUN
ijassa-1217	22	11	of	of	ADP
ijassa-1217	22	12	convergence	convergence	NOUN
ijassa-1217	22	13	to	to	ADP
ijassa-1217	22	14	critical	critical	ADJ
ijassa-1217	22	15	multipliers	multiplier	NOUN
ijassa-1217	22	16	when	when	SCONJ
ijassa-1217	22	17	they	they	PRON
ijassa-1217	22	18	exist	exist	VERB
ijassa-1217	22	19	[	[	PUNCT
ijassa-1217	22	20	11	11	NUM
ijassa-1217	22	21	]	]	PUNCT
ijassa-1217	22	22	,	,	PUNCT
ijassa-1217	22	23	and	and	CCONJ
ijassa-1217	22	24	this	this	PRON
ijassa-1217	22	25	becomes	become	VERB
ijassa-1217	22	26	even	even	ADV
ijassa-1217	22	27	more	more	ADJ
ijassa-1217	22	28	of	of	ADP
ijassa-1217	22	29	an	an	DET
ijassa-1217	22	30	issue	issue	NOUN
ijassa-1217	22	31	when	when	SCONJ
ijassa-1217	22	32	globalization	globalization	NOUN
ijassa-1217	22	33	of	of	ADP
ijassa-1217	22	34	convergence	convergence	NOUN
ijassa-1217	22	35	is	be	AUX
ijassa-1217	22	36	concerned	concern	VERB
ijassa-1217	22	37	.	.	PUNCT
ijassa-1217	23	1	generally	generally	ADV
ijassa-1217	23	2	,	,	PUNCT
ijassa-1217	23	3	there	there	PRON
ijassa-1217	23	4	can	can	AUX
ijassa-1217	23	5	be	be	AUX
ijassa-1217	23	6	at	at	ADV
ijassa-1217	23	7	least	least	ADV
ijassa-1217	23	8	two	two	NUM
ijassa-1217	23	9	different	different	ADJ
ijassa-1217	23	10	approaches	approach	NOUN
ijassa-1217	23	11	to	to	ADP
ijassa-1217	23	12	the	the	DET
ijassa-1217	23	13	specified	specified	ADJ
ijassa-1217	23	14	criticality	criticality	NOUN
ijassa-1217	23	15	issue	issue	NOUN
ijassa-1217	23	16	.	.	PUNCT
ijassa-1217	24	1	one	one	NUM
ijassa-1217	24	2	is	be	AUX
ijassa-1217	24	3	indeed	indeed	ADV
ijassa-1217	24	4	to	to	PART
ijassa-1217	24	5	try	try	VERB
ijassa-1217	24	6	to	to	PART
ijassa-1217	24	7	avoid	avoid	VERB
ijassa-1217	24	8	convergence	convergence	NOUN
ijassa-1217	24	9	to	to	ADP
ijassa-1217	24	10	a	a	DET
ijassa-1217	24	11	critical	critical	ADJ
ijassa-1217	24	12	multiplier	multiplier	NOUN
ijassa-1217	24	13	,	,	PUNCT
ijassa-1217	24	14	and	and	CCONJ
ijassa-1217	24	15	some	some	DET
ijassa-1217	24	16	further	further	ADJ
ijassa-1217	24	17	tools	tool	NOUN
ijassa-1217	24	18	for	for	ADP
ijassa-1217	24	19	this	this	PRON
ijassa-1217	24	20	were	be	AUX
ijassa-1217	24	21	developed	develop	VERB
ijassa-1217	24	22	very	very	ADV
ijassa-1217	24	23	recently	recently	ADV
ijassa-1217	24	24	in	in	ADP
ijassa-1217	24	25	[	[	X
ijassa-1217	24	26	5	5	NUM
ijassa-1217	24	27	]	]	PUNCT
ijassa-1217	24	28	.	.	PUNCT
ijassa-1217	25	1	the	the	DET
ijassa-1217	25	2	essence	essence	NOUN
ijassa-1217	25	3	of	of	ADP
ijassa-1217	25	4	an	an	DET
ijassa-1217	25	5	alternative	alternative	ADJ
ijassa-1217	25	6	approach	approach	NOUN
ijassa-1217	25	7	,	,	PUNCT
ijassa-1217	25	8	adopted	adopt	VERB
ijassa-1217	25	9	in	in	ADP
ijassa-1217	25	10	this	this	DET
ijassa-1217	25	11	work	work	NOUN
ijassa-1217	25	12	,	,	PUNCT
ijassa-1217	25	13	can	can	AUX
ijassa-1217	25	14	be	be	AUX
ijassa-1217	25	15	expressed	express	VERB
ijassa-1217	25	16	as	as	SCONJ
ijassa-1217	25	17	follows	follow	VERB
ijassa-1217	25	18	:	:	PUNCT
ijassa-1217	25	19	since	since	SCONJ
ijassa-1217	25	20	it	it	PRON
ijassa-1217	25	21	is	be	AUX
ijassa-1217	25	22	difficult	difficult	ADJ
ijassa-1217	25	23	to	to	PART
ijassa-1217	25	24	avoid	avoid	VERB
ijassa-1217	25	25	convergence	convergence	NOUN
ijassa-1217	25	26	to	to	ADP
ijassa-1217	25	27	critical	critical	ADJ
ijassa-1217	25	28	multipliers	multiplier	NOUN
ijassa-1217	25	29	,	,	PUNCT
ijassa-1217	25	30	this	this	DET
ijassa-1217	25	31	convergence	convergence	NOUN
ijassa-1217	25	32	can	can	AUX
ijassa-1217	25	33	be	be	AUX
ijassa-1217	25	34	accelerated	accelerate	VERB
ijassa-1217	25	35	by	by	ADP
ijassa-1217	25	36	employing	employ	VERB
ijassa-1217	25	37	the	the	DET
ijassa-1217	25	38	knowledge	knowledge	NOUN
ijassa-1217	25	39	of	of	ADP
ijassa-1217	25	40	its	its	PRON
ijassa-1217	25	41	rather	rather	ADV
ijassa-1217	25	42	special	special	ADJ
ijassa-1217	25	43	character	character	NOUN
ijassa-1217	25	44	.	.	PUNCT
ijassa-1217	26	1	this	this	DET
ijassa-1217	26	2	point	point	NOUN
ijassa-1217	26	3	will	will	AUX
ijassa-1217	26	4	be	be	AUX
ijassa-1217	26	5	explained	explain	VERB
ijassa-1217	26	6	in	in	ADP
ijassa-1217	26	7	section	section	NOUN
ijassa-1217	26	8	2	2	NUM
ijassa-1217	26	9	,	,	PUNCT
ijassa-1217	26	10	first	first	ADV
ijassa-1217	26	11	for	for	ADP
ijassa-1217	26	12	generic	generic	ADJ
ijassa-1217	26	13	systems	system	NOUN
ijassa-1217	26	14	of	of	ADP
ijassa-1217	26	15	nonlinear	nonlinear	ADJ
ijassa-1217	26	16	equations	equation	NOUN
ijassa-1217	26	17	and	and	CCONJ
ijassa-1217	26	18	for	for	ADP
ijassa-1217	26	19	optimization	optimization	NOUN
ijassa-1217	26	20	problems	problem	NOUN
ijassa-1217	26	21	with	with	ADP
ijassa-1217	26	22	equality	equality	NOUN
ijassa-1217	26	23	constraints	constraint	NOUN
ijassa-1217	26	24	only	only	ADV
ijassa-1217	26	25	,	,	PUNCT
ijassa-1217	26	26	using	use	VERB
ijassa-1217	26	27	the	the	DET
ijassa-1217	26	28	results	result	NOUN
ijassa-1217	26	29	from	from	ADP
ijassa-1217	26	30	[	[	X
ijassa-1217	26	31	6–9	6–9	NOUN
ijassa-1217	26	32	]	]	PUNCT
ijassa-1217	26	33	and	and	CCONJ
ijassa-1217	26	34	[	[	X
ijassa-1217	26	35	10	10	NUM
ijassa-1217	26	36	]	]	PUNCT
ijassa-1217	26	37	,	,	PUNCT
ijassa-1217	26	38	respectively	respectively	ADV
ijassa-1217	26	39	.	.	PUNCT
ijassa-1217	27	1	one	one	NUM
ijassa-1217	27	2	of	of	ADP
ijassa-1217	27	3	the	the	DET
ijassa-1217	27	4	outcomes	outcome	NOUN
ijassa-1217	27	5	of	of	ADP
ijassa-1217	27	6	this	this	DET
ijassa-1217	27	7	analysis	analysis	NOUN
ijassa-1217	27	8	is	be	AUX
ijassa-1217	27	9	a	a	DET
ijassa-1217	27	10	very	very	ADV
ijassa-1217	27	11	simple	simple	ADJ
ijassa-1217	27	12	extrapolation	extrapolation	NOUN
ijassa-1217	27	13	strategy	strategy	NOUN
ijassa-1217	27	14	for	for	ADP
ijassa-1217	27	15	accelerating	accelerate	VERB
ijassa-1217	27	16	convergence	convergence	NOUN
ijassa-1217	27	17	of	of	ADP
ijassa-1217	27	18	the	the	DET
ijassa-1217	27	19	basic	basic	ADJ
ijassa-1217	27	20	sequential	sequential	ADJ
ijassa-1217	27	21	quadratic	quadratic	ADJ
ijassa-1217	27	22	programming	programming	NOUN
ijassa-1217	27	23	(	(	PUNCT
ijassa-1217	27	24	sqp	sqp	PROPN
ijassa-1217	27	25	)	)	PUNCT
ijassa-1217	27	26	method	method	NOUN
ijassa-1217	27	27	to	to	ADP
ijassa-1217	27	28	critical	critical	ADJ
ijassa-1217	27	29	lagrange	lagrange	NOUN
ijassa-1217	27	30	multipliers	multiplier	NOUN
ijassa-1217	27	31	,	,	PUNCT
ijassa-1217	27	32	that	that	PRON
ijassa-1217	27	33	can	can	AUX
ijassa-1217	27	34	be	be	AUX
ijassa-1217	27	35	easily	easily	ADV
ijassa-1217	27	36	incorporated	incorporate	VERB
ijassa-1217	27	37	into	into	ADP
ijassa-1217	27	38	globalization	globalization	NOUN
ijassa-1217	27	39	schemes	scheme	NOUN
ijassa-1217	27	40	based	base	VERB
ijassa-1217	27	41	on	on	ADP
ijassa-1217	27	42	linesearch	linesearch	NOUN
ijassa-1217	27	43	.	.	PUNCT
ijassa-1217	28	1	the	the	DET
ijassa-1217	28	2	main	main	ADJ
ijassa-1217	28	3	goal	goal	NOUN
ijassa-1217	28	4	of	of	ADP
ijassa-1217	28	5	this	this	DET
ijassa-1217	28	6	paper	paper	NOUN
ijassa-1217	28	7	is	be	AUX
ijassa-1217	28	8	to	to	PART
ijassa-1217	28	9	extend	extend	VERB
ijassa-1217	28	10	this	this	DET
ijassa-1217	28	11	approach	approach	NOUN
ijassa-1217	28	12	to	to	ADP
ijassa-1217	28	13	optimization	optimization	NOUN
ijassa-1217	28	14	problems	problem	NOUN
ijassa-1217	28	15	involving	involve	VERB
ijassa-1217	28	16	inequality	inequality	NOUN
ijassa-1217	28	17	constraints	constraint	NOUN
ijassa-1217	28	18	as	as	ADV
ijassa-1217	28	19	well	well	ADV
ijassa-1217	28	20	,	,	PUNCT
ijassa-1217	28	21	and	and	CCONJ
ijassa-1217	28	22	this	this	PRON
ijassa-1217	28	23	is	be	AUX
ijassa-1217	28	24	accomplished	accomplish	VERB
ijassa-1217	28	25	in	in	ADP
ijassa-1217	28	26	section	section	NOUN
ijassa-1217	28	27	3	3	NUM
ijassa-1217	28	28	.	.	PUNCT
ijassa-1217	28	29	section	section	NOUN
ijassa-1217	28	30	4	4	NUM
ijassa-1217	28	31	presents	present	VERB
ijassa-1217	28	32	some	some	DET
ijassa-1217	28	33	numerical	numerical	ADJ
ijassa-1217	28	34	results	result	NOUN
ijassa-1217	28	35	confirming	confirm	VERB
ijassa-1217	28	36	the	the	DET
ijassa-1217	28	37	use	use	NOUN
ijassa-1217	28	38	of	of	ADP
ijassa-1217	28	39	the	the	DET
ijassa-1217	28	40	approach	approach	NOUN
ijassa-1217	28	41	,	,	PUNCT
ijassa-1217	28	42	and	and	CCONJ
ijassa-1217	28	43	section	section	NOUN
ijassa-1217	28	44	5	5	NUM
ijassa-1217	28	45	contains	contain	VERB
ijassa-1217	28	46	some	some	DET
ijassa-1217	28	47	concluding	conclude	VERB
ijassa-1217	28	48	remarks	remark	NOUN
ijassa-1217	28	49	and	and	CCONJ
ijassa-1217	28	50	discussion	discussion	NOUN
ijassa-1217	28	51	of	of	ADP
ijassa-1217	28	52	directions	direction	NOUN
ijassa-1217	28	53	for	for	ADP
ijassa-1217	28	54	further	further	ADJ
ijassa-1217	28	55	research	research	NOUN
ijassa-1217	28	56	.	.	PUNCT
ijassa-1217	29	1	some	some	DET
ijassa-1217	29	2	words	word	NOUN
ijassa-1217	29	3	about	about	ADP
ijassa-1217	29	4	our	our	PRON
ijassa-1217	29	5	notation	notation	NOUN
ijassa-1217	29	6	and	and	CCONJ
ijassa-1217	29	7	terminology	terminology	NOUN
ijassa-1217	29	8	.	.	PUNCT
ijassa-1217	30	1	the	the	DET
ijassa-1217	30	2	euclidian	euclidian	NOUN
ijassa-1217	30	3	(	(	PUNCT
ijassa-1217	30	4	l2	l2	NOUN
ijassa-1217	30	5	)	)	PUNCT
ijassa-1217	30	6	,	,	PUNCT
ijassa-1217	30	7	l1	l1	PROPN
ijassa-1217	30	8	,	,	PUNCT
ijassa-1217	30	9	and	and	CCONJ
ijassa-1217	30	10	l∞	l∞	NOUN
ijassa-1217	30	11	norms	norm	NOUN
ijassa-1217	30	12	will	will	AUX
ijassa-1217	30	13	be	be	AUX
ijassa-1217	30	14	denoted	denote	VERB
ijassa-1217	30	15	by	by	ADP
ijassa-1217	30	16	‖	‖	PROPN
ijassa-1217	30	17	·	·	PUNCT
ijassa-1217	30	18	‖	‖	PROPN
ijassa-1217	30	19	,	,	PUNCT
ijassa-1217	30	20	‖	‖	PROPN
ijassa-1217	30	21	·	·	SYM
ijassa-1217	30	22	‖1	‖1	NOUN
ijassa-1217	30	23	,	,	PUNCT
ijassa-1217	30	24	and	and	CCONJ
ijassa-1217	30	25	‖	‖	PROPN
ijassa-1217	30	26	·	·	PUNCT
ijassa-1217	30	27	‖∞	‖∞	PROPN
ijassa-1217	30	28	,	,	PUNCT
ijassa-1217	30	29	respectively	respectively	ADV
ijassa-1217	30	30	.	.	PUNCT
ijassa-1217	31	1	for	for	ADP
ijassa-1217	31	2	a	a	DET
ijassa-1217	31	3	function	function	NOUN
ijassa-1217	31	4	ϕ	ϕ	NOUN
ijassa-1217	31	5	:	:	PUNCT
ijassa-1217	31	6	rn	rn	PROPN
ijassa-1217	31	7	→	→	SYM
ijassa-1217	31	8	r	r	NOUN
ijassa-1217	31	9	,	,	PUNCT
ijassa-1217	31	10	by	by	ADP
ijassa-1217	31	11	ϕ′(x	ϕ′(x	PROPN
ijassa-1217	31	12	;	;	PUNCT
ijassa-1217	31	13	ξ	ξ	X
ijassa-1217	31	14	)	)	PUNCT
ijassa-1217	31	15	we	we	PRON
ijassa-1217	31	16	denote	denote	VERB
ijassa-1217	31	17	the	the	DET
ijassa-1217	31	18	standard	standard	ADJ
ijassa-1217	31	19	directional	directional	ADJ
ijassa-1217	31	20	derivative	derivative	NOUN
ijassa-1217	31	21	of	of	ADP
ijassa-1217	31	22	ϕ	ϕ	NOUN
ijassa-1217	31	23	at	at	ADP
ijassa-1217	31	24	x	x	PROPN
ijassa-1217	31	25	∈	∈	PROPN
ijassa-1217	31	26	rn	rn	NOUN
ijassa-1217	31	27	in	in	ADP
ijassa-1217	31	28	a	a	DET
ijassa-1217	31	29	direction	direction	NOUN
ijassa-1217	31	30	ξ	ξ	PROPN
ijassa-1217	31	31	∈	∈	PROPN
ijassa-1217	31	32	rn	rn	PROPN
ijassa-1217	31	33	.	.	PUNCT
ijassa-1217	32	1	the	the	DET
ijassa-1217	32	2	null	null	ADJ
ijassa-1217	32	3	space	space	NOUN
ijassa-1217	32	4	and	and	CCONJ
ijassa-1217	32	5	the	the	DET
ijassa-1217	32	6	range	range	NOUN
ijassa-1217	32	7	space	space	NOUN
ijassa-1217	32	8	of	of	ADP
ijassa-1217	32	9	a	a	DET
ijassa-1217	32	10	linear	linear	ADJ
ijassa-1217	32	11	operator	operator	NOUN
ijassa-1217	32	12	λ	λ	PROPN
ijassa-1217	32	13	:	:	PUNCT
ijassa-1217	32	14	rn	rn	PROPN
ijassa-1217	32	15	→	→	PROPN
ijassa-1217	32	16	rl	rl	X
ijassa-1217	32	17	are	be	AUX
ijassa-1217	32	18	denoted	denote	VERB
ijassa-1217	32	19	by	by	ADP
ijassa-1217	32	20	ker	ker	PROPN
ijassa-1217	32	21	λ	λ	PROPN
ijassa-1217	32	22	and	and	CCONJ
ijassa-1217	32	23	i	i	PRON
ijassa-1217	32	24	m	m	PROPN
ijassa-1217	32	25	λ	λ	NOUN
ijassa-1217	32	26	,	,	PUNCT
ijassa-1217	32	27	respectively	respectively	ADV
ijassa-1217	32	28	.	.	PUNCT
ijassa-1217	33	1	for	for	ADP
ijassa-1217	33	2	a	a	DET
ijassa-1217	33	3	given	give	VERB
ijassa-1217	33	4	z	z	PROPN
ijassa-1217	33	5	∈	∈	PROPN
ijassa-1217	33	6	rm	rm	NOUN
ijassa-1217	33	7	and	and	CCONJ
ijassa-1217	33	8	an	an	DET
ijassa-1217	33	9	index	index	NOUN
ijassa-1217	33	10	set	set	VERB
ijassa-1217	33	11	i	i	PRON
ijassa-1217	33	12	⊂	⊂	X
ijassa-1217	33	13	{	{	PUNCT
ijassa-1217	33	14	1	1	NUM
ijassa-1217	33	15	,	,	PUNCT
ijassa-1217	33	16	.	.	PUNCT
ijassa-1217	33	17	.	.	PUNCT
ijassa-1217	33	18	.	.	PUNCT
ijassa-1217	34	1	,	,	PUNCT
ijassa-1217	34	2	m	m	VERB
ijassa-1217	34	3	}	}	PUNCT
ijassa-1217	34	4	,	,	PUNCT
ijassa-1217	34	5	the	the	DET
ijassa-1217	34	6	symbol	symbol	NOUN
ijassa-1217	34	7	zi	zi	NOUN
ijassa-1217	34	8	stands	stand	VERB
ijassa-1217	34	9	for	for	ADP
ijassa-1217	34	10	the	the	DET
ijassa-1217	34	11	subvector	subvector	NOUN
ijassa-1217	34	12	of	of	ADP
ijassa-1217	34	13	z	z	PROPN
ijassa-1217	34	14	with	with	ADP
ijassa-1217	34	15	components	component	NOUN
ijassa-1217	34	16	corresponding	correspond	VERB
ijassa-1217	34	17	to	to	ADP
ijassa-1217	34	18	i	i	PRON
ijassa-1217	34	19	∈	∈	PROPN
ijassa-1217	35	1	i	i	PRON
ijassa-1217	35	2	.	.	PUNCT
ijassa-1217	36	1	a	a	DET
ijassa-1217	36	2	set	set	NOUN
ijassa-1217	36	3	u	u	PROPN
ijassa-1217	36	4	⊂	⊂	PROPN
ijassa-1217	36	5	rp	rp	NOUN
ijassa-1217	36	6	is	be	AUX
ijassa-1217	36	7	called	call	VERB
ijassa-1217	36	8	starlike	starlike	NOUN
ijassa-1217	36	9	with	with	ADP
ijassa-1217	36	10	resect	resect	NOUN
ijassa-1217	36	11	to	to	ADP
ijassa-1217	36	12	ū	ū	NOUN
ijassa-1217	36	13	∈	∈	PROPN
ijassa-1217	36	14	rp	rp	NOUN
ijassa-1217	36	15	if	if	SCONJ
ijassa-1217	36	16	for	for	ADP
ijassa-1217	36	17	every	every	DET
ijassa-1217	36	18	u	u	PROPN
ijassa-1217	36	19	∈	∈	PROPN
ijassa-1217	36	20	u	u	NOUN
ijassa-1217	36	21	and	and	CCONJ
ijassa-1217	36	22	t	t	PROPN
ijassa-1217	36	23	∈	∈	PROPN
ijassa-1217	36	24	(	(	PUNCT
ijassa-1217	36	25	0	0	NUM
ijassa-1217	36	26	,	,	PUNCT
ijassa-1217	36	27	1	1	NUM
ijassa-1217	36	28	]	]	PUNCT
ijassa-1217	36	29	,	,	PUNCT
ijassa-1217	36	30	it	it	PRON
ijassa-1217	36	31	holds	hold	VERB
ijassa-1217	36	32	that	that	SCONJ
ijassa-1217	36	33	tu+	tu+	NOUN
ijassa-1217	36	34	(	(	PUNCT
ijassa-1217	36	35	1−	1−	NUM
ijassa-1217	36	36	t)ū	t)ū	NUM
ijassa-1217	36	37	∈	∈	PROPN
ijassa-1217	36	38	u	u	PROPN
ijassa-1217	36	39	.	.	PUNCT
ijassa-1217	37	1	any	any	DET
ijassa-1217	37	2	v	v	NOUN
ijassa-1217	37	3	∈	∈	PROPN
ijassa-1217	37	4	rp	rp	NOUN
ijassa-1217	37	5	is	be	AUX
ijassa-1217	37	6	called	call	VERB
ijassa-1217	37	7	an	an	DET
ijassa-1217	37	8	excluded	exclude	VERB
ijassa-1217	37	9	direction	direction	NOUN
ijassa-1217	37	10	for	for	ADP
ijassa-1217	37	11	a	a	DET
ijassa-1217	37	12	set	set	NOUN
ijassa-1217	37	13	u	u	NOUN
ijassa-1217	37	14	starlike	starlike	NOUN
ijassa-1217	37	15	with	with	ADP
ijassa-1217	37	16	respect	respect	NOUN
ijassa-1217	37	17	to	to	ADP
ijassa-1217	37	18	ū	ū	NOUN
ijassa-1217	37	19	if	if	SCONJ
ijassa-1217	37	20	ū+	ū+	NUM
ijassa-1217	37	21	tv	tv	NOUN
ijassa-1217	37	22	6∈	6∈	PROPN
ijassa-1217	37	23	u	u	NOUN
ijassa-1217	37	24	for	for	ADP
ijassa-1217	37	25	all	all	DET
ijassa-1217	37	26	t	t	PROPN
ijassa-1217	37	27	>	>	X
ijassa-1217	37	28	0	0	X
ijassa-1217	37	29	.	.	PUNCT
ijassa-1217	38	1	a	a	DET
ijassa-1217	38	2	set	set	NOUN
ijassa-1217	38	3	which	which	PRON
ijassa-1217	38	4	is	be	AUX
ijassa-1217	38	5	starlike	starlike	NOUN
ijassa-1217	38	6	with	with	ADP
ijassa-1217	38	7	respect	respect	NOUN
ijassa-1217	38	8	to	to	ADP
ijassa-1217	38	9	a	a	DET
ijassa-1217	38	10	given	give	VERB
ijassa-1217	38	11	point	point	NOUN
ijassa-1217	38	12	is	be	AUX
ijassa-1217	38	13	called	call	VERB
ijassa-1217	38	14	asymptotically	asymptotically	ADV
ijassa-1217	38	15	dense	dense	ADJ
ijassa-1217	38	16	if	if	SCONJ
ijassa-1217	38	17	the	the	DET
ijassa-1217	38	18	complement	complement	NOUN
ijassa-1217	38	19	of	of	ADP
ijassa-1217	38	20	the	the	DET
ijassa-1217	38	21	corresponding	corresponding	ADJ
ijassa-1217	38	22	set	set	NOUN
ijassa-1217	38	23	of	of	ADP
ijassa-1217	38	24	excluded	exclude	VERB
ijassa-1217	38	25	directions	direction	NOUN
ijassa-1217	38	26	is	be	AUX
ijassa-1217	38	27	open	open	ADJ
ijassa-1217	38	28	and	and	CCONJ
ijassa-1217	38	29	dense	dense	ADJ
ijassa-1217	38	30	.	.	PUNCT
ijassa-1217	39	1	2	2	X
ijassa-1217	39	2	.	.	X
ijassa-1217	39	3	nonlinear	nonlinear	ADJ
ijassa-1217	39	4	equations	equation	NOUN
ijassa-1217	39	5	and	and	CCONJ
ijassa-1217	39	6	equality	equality	NOUN
ijassa-1217	39	7	-	-	PUNCT
ijassa-1217	39	8	constrained	constrain	VERB
ijassa-1217	39	9	optimization	optimization	NOUN
ijassa-1217	39	10	consider	consider	VERB
ijassa-1217	39	11	a	a	DET
ijassa-1217	39	12	system	system	NOUN
ijassa-1217	39	13	of	of	ADP
ijassa-1217	39	14	nonlinear	nonlinear	ADJ
ijassa-1217	39	15	equations	equation	NOUN
ijassa-1217	39	16	φ(u	φ(u	NOUN
ijassa-1217	39	17	)	)	PUNCT
ijassa-1217	39	18	=	=	SYM
ijassa-1217	39	19	0	0	NUM
ijassa-1217	39	20	(	(	PUNCT
ijassa-1217	39	21	2.3	2.3	NUM
ijassa-1217	39	22	)	)	PUNCT
ijassa-1217	39	23	with	with	ADP
ijassa-1217	39	24	a	a	DET
ijassa-1217	39	25	smooth	smooth	ADJ
ijassa-1217	39	26	mapping	mapping	NOUN
ijassa-1217	39	27	φ	φ	NOUN
ijassa-1217	39	28	:	:	PUNCT
ijassa-1217	40	1	rp	rp	NOUN
ijassa-1217	40	2	→	→	SYM
ijassa-1217	40	3	rp	rp	NOUN
ijassa-1217	40	4	.	.	PUNCT
ijassa-1217	41	1	a	a	DET
ijassa-1217	41	2	solution	solution	NOUN
ijassa-1217	41	3	ū	ū	NOUN
ijassa-1217	41	4	of	of	ADP
ijassa-1217	41	5	(	(	PUNCT
ijassa-1217	41	6	2.3	2.3	NUM
ijassa-1217	41	7	)	)	PUNCT
ijassa-1217	41	8	is	be	AUX
ijassa-1217	41	9	called	call	VERB
ijassa-1217	41	10	(	(	PUNCT
ijassa-1217	41	11	non)singular	non)singular	PROPN
ijassa-1217	41	12	if	if	SCONJ
ijassa-1217	41	13	the	the	DET
ijassa-1217	41	14	jacobian	jacobian	PROPN
ijassa-1217	41	15	φ′(ū	φ′(ū	PROPN
ijassa-1217	41	16	)	)	PUNCT
ijassa-1217	41	17	is	be	AUX
ijassa-1217	41	18	a	a	DET
ijassa-1217	41	19	(	(	PUNCT
ijassa-1217	41	20	non)singular	non)singular	PROPN
ijassa-1217	41	21	matrix	matrix	NOUN
ijassa-1217	41	22	.	.	PUNCT
ijassa-1217	42	1	for	for	ADP
ijassa-1217	42	2	a	a	DET
ijassa-1217	42	3	given	give	VERB
ijassa-1217	42	4	current	current	ADJ
ijassa-1217	42	5	iterate	iterate	NOUN
ijassa-1217	42	6	uk	uk	PROPN
ijassa-1217	42	7	∈	∈	PROPN
ijassa-1217	42	8	rp	rp	NOUN
ijassa-1217	42	9	,	,	PUNCT
ijassa-1217	42	10	the	the	DET
ijassa-1217	42	11	basic	basic	ADJ
ijassa-1217	42	12	copyright	copyright	NOUN
ijassa-1217	42	13	©	©	ADP
ijassa-1217	42	14	2022	2022	NUM
ijassa-1217	42	15	assa	assa	NOUN
ijassa-1217	42	16	.	.	PUNCT
ijassa-1217	43	1	adv	adv	PROPN
ijassa-1217	43	2	syst	syst	PROPN
ijassa-1217	43	3	sci	sci	PROPN
ijassa-1217	43	4	appl	appl	PROPN
ijassa-1217	43	5	(	(	PUNCT
ijassa-1217	43	6	2022	2022	NUM
ijassa-1217	43	7	)	)	PUNCT
ijassa-1217	43	8	accelerating	accelerate	VERB
ijassa-1217	43	9	sequential	sequential	ADJ
ijassa-1217	43	10	quadratic	quadratic	ADJ
ijassa-1217	43	11	programming	programming	NOUN
ijassa-1217	43	12	for	for	ADP
ijassa-1217	43	13	inequality	inequality	NOUN
ijassa-1217	43	14	-	-	PUNCT
ijassa-1217	43	15	constrained	constrain	VERB
ijassa-1217	43	16	75	75	NUM
ijassa-1217	43	17	newton	newton	PROPN
ijassa-1217	43	18	method	method	NOUN
ijassa-1217	43	19	(	(	PUNCT
ijassa-1217	43	20	nm	nm	NOUN
ijassa-1217	43	21	)	)	PUNCT
ijassa-1217	43	22	defines	define	VERB
ijassa-1217	43	23	the	the	DET
ijassa-1217	43	24	next	next	ADJ
ijassa-1217	43	25	iterate	iterate	NOUN
ijassa-1217	43	26	as	as	ADP
ijassa-1217	43	27	uk+1	uk+1	ADP
ijassa-1217	43	28	=	=	SYM
ijassa-1217	43	29	uk	uk	PROPN
ijassa-1217	43	30	+	+	CCONJ
ijassa-1217	43	31	vk	vk	PROPN
ijassa-1217	43	32	,	,	PUNCT
ijassa-1217	43	33	where	where	SCONJ
ijassa-1217	43	34	vk	vk	NOUN
ijassa-1217	43	35	is	be	AUX
ijassa-1217	43	36	a	a	DET
ijassa-1217	43	37	solution	solution	NOUN
ijassa-1217	43	38	of	of	ADP
ijassa-1217	43	39	the	the	DET
ijassa-1217	43	40	linearized	linearize	VERB
ijassa-1217	43	41	(	(	PUNCT
ijassa-1217	43	42	at	at	ADP
ijassa-1217	43	43	uk	uk	NOUN
ijassa-1217	43	44	)	)	PUNCT
ijassa-1217	43	45	equation	equation	NOUN
ijassa-1217	43	46	φ(uk	φ(uk	PROPN
ijassa-1217	43	47	)	)	PUNCT
ijassa-1217	43	48	+	+	CCONJ
ijassa-1217	43	49	φ′(uk)v	φ′(uk)v	PROPN
ijassa-1217	43	50	=	=	SYM
ijassa-1217	43	51	0	0	NUM
ijassa-1217	43	52	.	.	PUNCT
ijassa-1217	44	1	(	(	PUNCT
ijassa-1217	44	2	2.4	2.4	NUM
ijassa-1217	44	3	)	)	PUNCT
ijassa-1217	44	4	the	the	DET
ijassa-1217	44	5	classical	classical	ADJ
ijassa-1217	44	6	theory	theory	NOUN
ijassa-1217	44	7	says	say	VERB
ijassa-1217	44	8	that	that	SCONJ
ijassa-1217	44	9	when	when	SCONJ
ijassa-1217	44	10	u0	u0	PROPN
ijassa-1217	44	11	∈	∈	PROPN
ijassa-1217	44	12	rp	rp	NOUN
ijassa-1217	44	13	is	be	AUX
ijassa-1217	44	14	taken	take	VERB
ijassa-1217	44	15	close	close	ADV
ijassa-1217	44	16	enough	enough	ADV
ijassa-1217	44	17	to	to	ADP
ijassa-1217	44	18	a	a	DET
ijassa-1217	44	19	nonsingular	nonsingular	ADJ
ijassa-1217	44	20	solution	solution	NOUN
ijassa-1217	44	21	of	of	ADP
ijassa-1217	44	22	(	(	PUNCT
ijassa-1217	44	23	2.3	2.3	NUM
ijassa-1217	44	24	)	)	PUNCT
ijassa-1217	44	25	,	,	PUNCT
ijassa-1217	44	26	then	then	ADV
ijassa-1217	44	27	the	the	DET
ijassa-1217	44	28	nm	nm	NOUN
ijassa-1217	44	29	defined	define	VERB
ijassa-1217	44	30	this	this	DET
ijassa-1217	44	31	way	way	NOUN
ijassa-1217	44	32	generates	generate	VERB
ijassa-1217	44	33	the	the	DET
ijassa-1217	44	34	unique	unique	ADJ
ijassa-1217	44	35	sequence	sequence	NOUN
ijassa-1217	44	36	of	of	ADP
ijassa-1217	44	37	iterates	iterate	NOUN
ijassa-1217	44	38	{	{	PUNCT
ijassa-1217	44	39	uk	uk	NOUN
ijassa-1217	44	40	}	}	PUNCT
ijassa-1217	44	41	,	,	PUNCT
ijassa-1217	44	42	and	and	CCONJ
ijassa-1217	44	43	this	this	DET
ijassa-1217	44	44	sequence	sequence	NOUN
ijassa-1217	44	45	converges	converge	VERB
ijassa-1217	44	46	to	to	ADP
ijassa-1217	44	47	ū	ū	NOUN
ijassa-1217	44	48	superlinearly	superlinearly	ADV
ijassa-1217	44	49	;	;	PUNCT
ijassa-1217	44	50	see	see	VERB
ijassa-1217	44	51	,	,	PUNCT
ijassa-1217	44	52	e.g.	e.g.	ADV
ijassa-1217	44	53	,	,	PUNCT
ijassa-1217	44	54	[	[	X
ijassa-1217	44	55	18	18	NUM
ijassa-1217	44	56	,	,	PUNCT
ijassa-1217	44	57	section	section	NOUN
ijassa-1217	44	58	2.1.1	2.1.1	NUM
ijassa-1217	44	59	]	]	PUNCT
ijassa-1217	44	60	.	.	PUNCT
ijassa-1217	45	1	here	here	ADV
ijassa-1217	45	2	we	we	PRON
ijassa-1217	45	3	are	be	AUX
ijassa-1217	45	4	mainly	mainly	ADV
ijassa-1217	45	5	interested	interested	ADJ
ijassa-1217	45	6	in	in	ADP
ijassa-1217	45	7	the	the	DET
ijassa-1217	45	8	cases	case	NOUN
ijassa-1217	45	9	of	of	ADP
ijassa-1217	45	10	when	when	SCONJ
ijassa-1217	45	11	the	the	DET
ijassa-1217	45	12	solution	solution	NOUN
ijassa-1217	45	13	in	in	ADP
ijassa-1217	45	14	question	question	NOUN
ijassa-1217	45	15	can	can	AUX
ijassa-1217	45	16	be	be	AUX
ijassa-1217	45	17	singular	singular	ADJ
ijassa-1217	45	18	,	,	PUNCT
ijassa-1217	45	19	perhaps	perhaps	ADV
ijassa-1217	45	20	even	even	ADV
ijassa-1217	45	21	nonisolated	nonisolate	VERB
ijassa-1217	45	22	.	.	PUNCT
ijassa-1217	46	1	to	to	ADP
ijassa-1217	46	2	that	that	DET
ijassa-1217	46	3	end	end	NOUN
ijassa-1217	46	4	,	,	PUNCT
ijassa-1217	46	5	we	we	PRON
ijassa-1217	46	6	make	make	VERB
ijassa-1217	46	7	use	use	NOUN
ijassa-1217	46	8	of	of	ADP
ijassa-1217	46	9	the	the	DET
ijassa-1217	46	10	following	follow	VERB
ijassa-1217	46	11	second	second	ADJ
ijassa-1217	46	12	-	-	PUNCT
ijassa-1217	46	13	order	order	NOUN
ijassa-1217	46	14	regularity	regularity	NOUN
ijassa-1217	46	15	concept	concept	NOUN
ijassa-1217	46	16	assuming	assume	VERB
ijassa-1217	46	17	that	that	SCONJ
ijassa-1217	46	18	φ	φ	PROPN
ijassa-1217	46	19	is	be	AUX
ijassa-1217	46	20	twice	twice	ADV
ijassa-1217	46	21	differentiable	differentiable	ADJ
ijassa-1217	46	22	at	at	ADP
ijassa-1217	46	23	ū	ū	NOUN
ijassa-1217	46	24	:	:	PUNCT
ijassa-1217	46	25	the	the	DET
ijassa-1217	46	26	mapping	mapping	NOUN
ijassa-1217	46	27	φ	φ	PROPN
ijassa-1217	46	28	is	be	AUX
ijassa-1217	46	29	said	say	VERB
ijassa-1217	46	30	to	to	PART
ijassa-1217	46	31	be	be	AUX
ijassa-1217	46	32	2	2	NUM
ijassa-1217	46	33	-	-	NOUN
ijassa-1217	46	34	regular	regular	ADJ
ijassa-1217	46	35	at	at	ADP
ijassa-1217	46	36	ū	ū	NOUN
ijassa-1217	46	37	in	in	ADP
ijassa-1217	46	38	a	a	DET
ijassa-1217	46	39	direction	direction	NOUN
ijassa-1217	46	40	v	v	ADP
ijassa-1217	46	41	∈	∈	PROPN
ijassa-1217	46	42	rp	rp	NOUN
ijassa-1217	47	1	if	if	SCONJ
ijassa-1217	47	2	i	i	PRON
ijassa-1217	47	3	m	m	VERB
ijassa-1217	47	4	φ′(ū	φ′(ū	PROPN
ijassa-1217	47	5	)	)	PUNCT
ijassa-1217	47	6	+	+	X
ijassa-1217	48	1	φ′′(ū)[v	φ′′(ū)[v	PROPN
ijassa-1217	48	2	,	,	PUNCT
ijassa-1217	48	3	ker	ker	NOUN
ijassa-1217	48	4	φ′(ū	φ′(ū	PROPN
ijassa-1217	48	5	)	)	PUNCT
ijassa-1217	48	6	]	]	PUNCT
ijassa-1217	49	1	=	=	PUNCT
ijassa-1217	49	2	rp	rp	NOUN
ijassa-1217	49	3	.	.	PUNCT
ijassa-1217	50	1	if	if	SCONJ
ijassa-1217	50	2	φ′(ū	φ′(ū	PROPN
ijassa-1217	50	3	)	)	PUNCT
ijassa-1217	50	4	is	be	AUX
ijassa-1217	50	5	nonsingular	nonsingular	ADJ
ijassa-1217	50	6	,	,	PUNCT
ijassa-1217	50	7	then	then	ADV
ijassa-1217	50	8	φ	φ	PROPN
ijassa-1217	50	9	is	be	AUX
ijassa-1217	50	10	2	2	NUM
ijassa-1217	50	11	-	-	NOUN
ijassa-1217	50	12	regular	regular	ADJ
ijassa-1217	50	13	at	at	ADP
ijassa-1217	50	14	ū	ū	NOUN
ijassa-1217	50	15	in	in	ADP
ijassa-1217	50	16	every	every	DET
ijassa-1217	50	17	direction	direction	NOUN
ijassa-1217	50	18	,	,	PUNCT
ijassa-1217	50	19	including	include	VERB
ijassa-1217	50	20	v	v	NOUN
ijassa-1217	50	21	=	=	SYM
ijassa-1217	50	22	0	0	NUM
ijassa-1217	50	23	.	.	PUNCT
ijassa-1217	51	1	at	at	ADP
ijassa-1217	51	2	the	the	DET
ijassa-1217	51	3	same	same	ADJ
ijassa-1217	51	4	time	time	NOUN
ijassa-1217	51	5	,	,	PUNCT
ijassa-1217	51	6	2	2	NUM
ijassa-1217	51	7	-	-	PUNCT
ijassa-1217	51	8	regularity	regularity	NOUN
ijassa-1217	51	9	may	may	AUX
ijassa-1217	51	10	hold	hold	VERB
ijassa-1217	51	11	at	at	ADP
ijassa-1217	51	12	singular	singular	NOUN
ijassa-1217	51	13	(	(	PUNCT
ijassa-1217	51	14	and	and	CCONJ
ijassa-1217	51	15	even	even	ADV
ijassa-1217	51	16	nonisolated	nonisolate	VERB
ijassa-1217	51	17	)	)	PUNCT
ijassa-1217	51	18	solutions	solution	NOUN
ijassa-1217	51	19	in	in	ADP
ijassa-1217	51	20	nonzero	nonzero	PROPN
ijassa-1217	51	21	directions	direction	NOUN
ijassa-1217	51	22	,	,	PUNCT
ijassa-1217	51	23	including	include	VERB
ijassa-1217	51	24	those	those	PRON
ijassa-1217	51	25	from	from	ADP
ijassa-1217	51	26	ker	ker	PROPN
ijassa-1217	51	27	φ′(ū	φ′(ū	PROPN
ijassa-1217	51	28	)	)	PUNCT
ijassa-1217	51	29	.	.	PUNCT
ijassa-1217	52	1	the	the	DET
ijassa-1217	52	2	following	follow	VERB
ijassa-1217	52	3	theorem	theorem	ADJ
ijassa-1217	52	4	summarizes	summarize	NOUN
ijassa-1217	52	5	the	the	DET
ijassa-1217	52	6	results	result	NOUN
ijassa-1217	52	7	on	on	ADP
ijassa-1217	52	8	local	local	ADJ
ijassa-1217	52	9	convergence	convergence	NOUN
ijassa-1217	52	10	of	of	ADP
ijassa-1217	52	11	the	the	DET
ijassa-1217	52	12	basic	basic	ADJ
ijassa-1217	52	13	nm	nm	NOUN
ijassa-1217	52	14	,	,	PUNCT
ijassa-1217	52	15	obtained	obtain	VERB
ijassa-1217	52	16	in	in	ADP
ijassa-1217	52	17	[	[	X
ijassa-1217	52	18	8	8	NUM
ijassa-1217	52	19	,	,	PUNCT
ijassa-1217	52	20	theorem	theorem	VERB
ijassa-1217	52	21	6.1	6.1	NUM
ijassa-1217	52	22	]	]	PUNCT
ijassa-1217	52	23	and	and	CCONJ
ijassa-1217	52	24	[	[	X
ijassa-1217	52	25	9	9	NUM
ijassa-1217	52	26	,	,	PUNCT
ijassa-1217	52	27	theorem	theorem	VERB
ijassa-1217	52	28	2.1	2.1	NUM
ijassa-1217	52	29	]	]	PUNCT
ijassa-1217	52	30	.	.	PUNCT
ijassa-1217	53	1	theorem	theorem	VERB
ijassa-1217	53	2	2.1	2.1	NUM
ijassa-1217	53	3	:	:	PUNCT
ijassa-1217	53	4	let	let	VERB
ijassa-1217	53	5	φ	φ	PROPN
ijassa-1217	53	6	:	:	PUNCT
ijassa-1217	53	7	rp	rp	NOUN
ijassa-1217	53	8	→	→	SYM
ijassa-1217	53	9	rp	rp	NOUN
ijassa-1217	53	10	be	be	AUX
ijassa-1217	53	11	twice	twice	ADV
ijassa-1217	53	12	differentiable	differentiable	ADJ
ijassa-1217	53	13	near	near	ADP
ijassa-1217	53	14	ū	ū	NOUN
ijassa-1217	53	15	∈	∈	PROPN
ijassa-1217	53	16	rp	rp	NOUN
ijassa-1217	53	17	,	,	PUNCT
ijassa-1217	53	18	with	with	ADP
ijassa-1217	53	19	its	its	PRON
ijassa-1217	53	20	second	second	ADJ
ijassa-1217	53	21	derivative	derivative	ADJ
ijassa-1217	53	22	lipschitzcontinuous	lipschitzcontinuous	NOUN
ijassa-1217	53	23	with	with	ADP
ijassa-1217	53	24	respect	respect	NOUN
ijassa-1217	53	25	to	to	ADP
ijassa-1217	53	26	ū	ū	NOUN
ijassa-1217	53	27	,	,	PUNCT
ijassa-1217	53	28	that	that	ADV
ijassa-1217	53	29	is	is	ADV
ijassa-1217	53	30	,	,	PUNCT
ijassa-1217	53	31	φ′′(u)−	φ′′(u)−	PROPN
ijassa-1217	53	32	φ′′(ū	φ′′(ū	PROPN
ijassa-1217	53	33	)	)	PUNCT
ijassa-1217	53	34	=	=	PUNCT
ijassa-1217	54	1	o(‖u−	o(‖u−	ADP
ijassa-1217	54	2	ū‖	ū‖	PROPN
ijassa-1217	54	3	)	)	PUNCT
ijassa-1217	54	4	as	as	ADP
ijassa-1217	54	5	u→	u→	PROPN
ijassa-1217	54	6	ū.	ū.	PUNCT
ijassa-1217	54	7	let	let	VERB
ijassa-1217	54	8	ū	ū	NOUN
ijassa-1217	54	9	be	be	AUX
ijassa-1217	54	10	a	a	DET
ijassa-1217	54	11	singular	singular	ADJ
ijassa-1217	54	12	solution	solution	NOUN
ijassa-1217	54	13	of	of	ADP
ijassa-1217	54	14	equation	equation	NOUN
ijassa-1217	54	15	(	(	PUNCT
ijassa-1217	54	16	2.3	2.3	NUM
ijassa-1217	54	17	)	)	PUNCT
ijassa-1217	54	18	,	,	PUNCT
ijassa-1217	54	19	and	and	CCONJ
ijassa-1217	54	20	assume	assume	VERB
ijassa-1217	54	21	that	that	SCONJ
ijassa-1217	54	22	there	there	PRON
ijassa-1217	54	23	exists	exist	VERB
ijassa-1217	54	24	v̄	v̄	PROPN
ijassa-1217	54	25	∈	∈	PROPN
ijassa-1217	54	26	ker	ker	PROPN
ijassa-1217	54	27	φ′(ū	φ′(ū	PROPN
ijassa-1217	54	28	)	)	PUNCT
ijassa-1217	54	29	such	such	ADJ
ijassa-1217	54	30	that	that	SCONJ
ijassa-1217	54	31	φ	φ	PROPN
ijassa-1217	54	32	is	be	AUX
ijassa-1217	54	33	2	2	NUM
ijassa-1217	54	34	-	-	NOUN
ijassa-1217	54	35	regular	regular	ADJ
ijassa-1217	54	36	at	at	ADP
ijassa-1217	54	37	ū	ū	NOUN
ijassa-1217	54	38	in	in	ADP
ijassa-1217	54	39	this	this	DET
ijassa-1217	54	40	direction	direction	NOUN
ijassa-1217	54	41	.	.	PUNCT
ijassa-1217	55	1	then	then	ADV
ijassa-1217	55	2	there	there	PRON
ijassa-1217	55	3	exists	exist	VERB
ijassa-1217	55	4	a	a	DET
ijassa-1217	55	5	set	set	NOUN
ijassa-1217	55	6	u	u	PROPN
ijassa-1217	55	7	⊂	⊂	PROPN
ijassa-1217	55	8	rp	rp	NOUN
ijassa-1217	55	9	starlike	starlike	NOUN
ijassa-1217	55	10	with	with	ADP
ijassa-1217	55	11	respect	respect	NOUN
ijassa-1217	55	12	to	to	ADP
ijassa-1217	55	13	ū	ū	NOUN
ijassa-1217	55	14	,	,	PUNCT
ijassa-1217	55	15	asymptotically	asymptotically	ADV
ijassa-1217	55	16	dense	dense	ADJ
ijassa-1217	55	17	at	at	ADP
ijassa-1217	55	18	ū	ū	NOUN
ijassa-1217	55	19	,	,	PUNCT
ijassa-1217	55	20	and	and	CCONJ
ijassa-1217	55	21	such	such	ADJ
ijassa-1217	55	22	that	that	PRON
ijassa-1217	55	23	for	for	ADP
ijassa-1217	55	24	every	every	DET
ijassa-1217	55	25	starting	starting	NOUN
ijassa-1217	55	26	point	point	NOUN
ijassa-1217	55	27	u0	u0	PROPN
ijassa-1217	55	28	∈	∈	PROPN
ijassa-1217	55	29	u	u	NOUN
ijassa-1217	55	30	,	,	PUNCT
ijassa-1217	55	31	there	there	PRON
ijassa-1217	55	32	exists	exist	VERB
ijassa-1217	55	33	the	the	DET
ijassa-1217	55	34	unique	unique	ADJ
ijassa-1217	55	35	sequence	sequence	NOUN
ijassa-1217	55	36	{	{	PUNCT
ijassa-1217	55	37	uk	uk	PROPN
ijassa-1217	55	38	}	}	PUNCT
ijassa-1217	55	39	⊂	⊂	PROPN
ijassa-1217	55	40	rp	rp	ADP
ijassa-1217	55	41	such	such	ADJ
ijassa-1217	55	42	that	that	PRON
ijassa-1217	55	43	for	for	ADP
ijassa-1217	55	44	all	all	DET
ijassa-1217	55	45	k	k	PROPN
ijassa-1217	55	46	,	,	PUNCT
ijassa-1217	55	47	the	the	DET
ijassa-1217	55	48	step	step	NOUN
ijassa-1217	55	49	vk	vk	VERB
ijassa-1217	55	50	=	=	PUNCT
ijassa-1217	55	51	uk+1	uk+1	PRON
ijassa-1217	55	52	−	−	PROPN
ijassa-1217	55	53	uk	uk	PROPN
ijassa-1217	55	54	is	be	AUX
ijassa-1217	55	55	the	the	DET
ijassa-1217	55	56	solution	solution	NOUN
ijassa-1217	55	57	of	of	ADP
ijassa-1217	55	58	(	(	PUNCT
ijassa-1217	55	59	2.4	2.4	NUM
ijassa-1217	55	60	)	)	PUNCT
ijassa-1217	55	61	,	,	PUNCT
ijassa-1217	55	62	and	and	CCONJ
ijassa-1217	55	63	uk	uk	PROPN
ijassa-1217	55	64	6=	6=	PROPN
ijassa-1217	55	65	ū	ū	PROPN
ijassa-1217	55	66	,	,	PUNCT
ijassa-1217	55	67	{	{	PUNCT
ijassa-1217	55	68	uk	uk	PROPN
ijassa-1217	55	69	}	}	PUNCT
ijassa-1217	55	70	converges	converge	NOUN
ijassa-1217	55	71	to	to	ADP
ijassa-1217	55	72	ū	ū	NOUN
ijassa-1217	55	73	,	,	PUNCT
ijassa-1217	55	74	lim	lim	PROPN
ijassa-1217	55	75	k→∞	k→∞	NOUN
ijassa-1217	55	76	‖uk+1	‖uk+1	PART
ijassa-1217	56	1	−	−	PROPN
ijassa-1217	56	2	ū‖	ū‖	PROPN
ijassa-1217	56	3	‖uk	‖uk	PROPN
ijassa-1217	56	4	−	−	PROPN
ijassa-1217	56	5	ū‖	ū‖	PROPN
ijassa-1217	56	6	=	=	SYM
ijassa-1217	56	7	1	1	NUM
ijassa-1217	56	8	2	2	NUM
ijassa-1217	56	9	,	,	PUNCT
ijassa-1217	56	10	(	(	PUNCT
ijassa-1217	56	11	2.5	2.5	NUM
ijassa-1217	56	12	)	)	PUNCT
ijassa-1217	56	13	and	and	CCONJ
ijassa-1217	56	14	the	the	DET
ijassa-1217	56	15	sequence	sequence	NOUN
ijassa-1217	56	16	{	{	PUNCT
ijassa-1217	56	17	(	(	PUNCT
ijassa-1217	56	18	uk	uk	PROPN
ijassa-1217	56	19	−	−	PROPN
ijassa-1217	56	20	ū)/‖uk	ū)/‖uk	PROPN
ijassa-1217	56	21	−	−	PROPN
ijassa-1217	56	22	ū‖	ū‖	PROPN
ijassa-1217	56	23	}	}	PUNCT
ijassa-1217	56	24	converges	converge	VERB
ijassa-1217	56	25	to	to	ADP
ijassa-1217	56	26	some	some	DET
ijassa-1217	56	27	v	v	ADP
ijassa-1217	56	28	∈	∈	PROPN
ijassa-1217	56	29	ker	ker	NOUN
ijassa-1217	56	30	φ′(ū	φ′(ū	PROPN
ijassa-1217	56	31	)	)	PUNCT
ijassa-1217	56	32	.	.	PUNCT
ijassa-1217	57	1	the	the	DET
ijassa-1217	57	2	convergence	convergence	NOUN
ijassa-1217	57	3	pattern	pattern	NOUN
ijassa-1217	57	4	specified	specify	VERB
ijassa-1217	57	5	by	by	ADP
ijassa-1217	57	6	(	(	PUNCT
ijassa-1217	57	7	2.5	2.5	NUM
ijassa-1217	57	8	)	)	PUNCT
ijassa-1217	57	9	suggests	suggest	VERB
ijassa-1217	57	10	that	that	SCONJ
ijassa-1217	57	11	acceleration	acceleration	NOUN
ijassa-1217	57	12	of	of	ADP
ijassa-1217	57	13	convergence	convergence	NOUN
ijassa-1217	57	14	can	can	AUX
ijassa-1217	57	15	be	be	AUX
ijassa-1217	57	16	achieved	achieve	VERB
ijassa-1217	57	17	by	by	ADP
ijassa-1217	57	18	doubling	double	VERB
ijassa-1217	57	19	the	the	DET
ijassa-1217	57	20	basic	basic	ADJ
ijassa-1217	57	21	nm	nm	ADJ
ijassa-1217	57	22	step	step	NOUN
ijassa-1217	57	23	.	.	PUNCT
ijassa-1217	58	1	this	this	PRON
ijassa-1217	58	2	,	,	PUNCT
ijassa-1217	58	3	however	however	ADV
ijassa-1217	58	4	,	,	PUNCT
ijassa-1217	58	5	should	should	AUX
ijassa-1217	58	6	be	be	AUX
ijassa-1217	58	7	done	do	VERB
ijassa-1217	58	8	with	with	ADP
ijassa-1217	58	9	due	due	ADJ
ijassa-1217	58	10	care	care	NOUN
ijassa-1217	58	11	,	,	PUNCT
ijassa-1217	58	12	as	as	SCONJ
ijassa-1217	58	13	simply	simply	ADV
ijassa-1217	58	14	doubling	double	VERB
ijassa-1217	58	15	each	each	DET
ijassa-1217	58	16	step	step	NOUN
ijassa-1217	58	17	may	may	AUX
ijassa-1217	58	18	force	force	VERB
ijassa-1217	58	19	the	the	DET
ijassa-1217	58	20	resulting	result	VERB
ijassa-1217	58	21	sequence	sequence	NOUN
ijassa-1217	58	22	to	to	PART
ijassa-1217	58	23	leave	leave	VERB
ijassa-1217	58	24	the	the	DET
ijassa-1217	58	25	domain	domain	NOUN
ijassa-1217	58	26	of	of	ADP
ijassa-1217	58	27	convergence	convergence	NOUN
ijassa-1217	58	28	,	,	PUNCT
ijassa-1217	58	29	which	which	PRON
ijassa-1217	58	30	is	be	AUX
ijassa-1217	58	31	asymptotically	asymptotically	ADV
ijassa-1217	58	32	dense	dense	ADJ
ijassa-1217	58	33	but	but	CCONJ
ijassa-1217	58	34	need	need	AUX
ijassa-1217	58	35	not	not	PART
ijassa-1217	58	36	contain	contain	VERB
ijassa-1217	58	37	a	a	DET
ijassa-1217	58	38	full	full	ADJ
ijassa-1217	58	39	neighborhood	neighborhood	NOUN
ijassa-1217	58	40	of	of	ADP
ijassa-1217	58	41	the	the	DET
ijassa-1217	58	42	solution	solution	NOUN
ijassa-1217	58	43	in	in	ADP
ijassa-1217	58	44	question	question	NOUN
ijassa-1217	58	45	.	.	PUNCT
ijassa-1217	59	1	to	to	ADP
ijassa-1217	59	2	that	that	DET
ijassa-1217	59	3	end	end	NOUN
ijassa-1217	59	4	,	,	PUNCT
ijassa-1217	59	5	somehow	somehow	ADV
ijassa-1217	59	6	more	more	ADV
ijassa-1217	59	7	involved	involved	ADJ
ijassa-1217	59	8	acceleration	acceleration	NOUN
ijassa-1217	59	9	techniques	technique	NOUN
ijassa-1217	59	10	have	have	AUX
ijassa-1217	59	11	been	be	AUX
ijassa-1217	59	12	developed	develop	VERB
ijassa-1217	59	13	in	in	ADP
ijassa-1217	59	14	[	[	X
ijassa-1217	59	15	7,9	7,9	NUM
ijassa-1217	59	16	]	]	PUNCT
ijassa-1217	59	17	,	,	PUNCT
ijassa-1217	59	18	such	such	ADJ
ijassa-1217	59	19	as	as	ADP
ijassa-1217	59	20	extrapolation	extrapolation	NOUN
ijassa-1217	59	21	and	and	CCONJ
ijassa-1217	59	22	overrelaxation	overrelaxation	NOUN
ijassa-1217	59	23	.	.	PUNCT
ijassa-1217	60	1	the	the	DET
ijassa-1217	60	2	simplest	simple	ADJ
ijassa-1217	60	3	extrapolation	extrapolation	NOUN
ijassa-1217	60	4	technique	technique	NOUN
ijassa-1217	60	5	consists	consist	VERB
ijassa-1217	60	6	of	of	ADP
ijassa-1217	60	7	generating	generating	NOUN
ijassa-1217	60	8	,	,	PUNCT
ijassa-1217	60	9	along	along	ADP
ijassa-1217	60	10	with	with	ADP
ijassa-1217	60	11	the	the	DET
ijassa-1217	60	12	basic	basic	ADJ
ijassa-1217	60	13	nm	nm	ADJ
ijassa-1217	60	14	sequence	sequence	NOUN
ijassa-1217	60	15	{	{	PUNCT
ijassa-1217	60	16	uk	uk	PROPN
ijassa-1217	60	17	}	}	PUNCT
ijassa-1217	60	18	,	,	PUNCT
ijassa-1217	60	19	an	an	DET
ijassa-1217	60	20	auxiliary	auxiliary	ADJ
ijassa-1217	60	21	sequence	sequence	NOUN
ijassa-1217	60	22	{	{	PUNCT
ijassa-1217	60	23	ûk	ûk	NOUN
ijassa-1217	60	24	}	}	PUNCT
ijassa-1217	60	25	obtained	obtain	VERB
ijassa-1217	60	26	by	by	ADP
ijassa-1217	60	27	doubling	double	VERB
ijassa-1217	60	28	the	the	DET
ijassa-1217	60	29	nm	nm	ADJ
ijassa-1217	60	30	step	step	NOUN
ijassa-1217	60	31	:	:	PUNCT
ijassa-1217	60	32	for	for	ADP
ijassa-1217	60	33	each	each	DET
ijassa-1217	60	34	k	k	PROPN
ijassa-1217	60	35	compute	compute	NOUN
ijassa-1217	60	36	ûk+1	ûk+1	ADP
ijassa-1217	61	1	=	=	PUNCT
ijassa-1217	61	2	uk	uk	PROPN
ijassa-1217	61	3	+	+	CCONJ
ijassa-1217	61	4	2vk	2vk	ADJ
ijassa-1217	61	5	.	.	PUNCT
ijassa-1217	62	1	(	(	PUNCT
ijassa-1217	62	2	2.6	2.6	NUM
ijassa-1217	62	3	)	)	PUNCT
ijassa-1217	62	4	according	accord	VERB
ijassa-1217	62	5	to	to	ADP
ijassa-1217	62	6	[	[	X
ijassa-1217	62	7	9	9	NUM
ijassa-1217	62	8	,	,	PUNCT
ijassa-1217	62	9	theorem	theorem	VERB
ijassa-1217	62	10	4.1	4.1	NUM
ijassa-1217	62	11	]	]	PUNCT
ijassa-1217	62	12	,	,	PUNCT
ijassa-1217	62	13	under	under	ADP
ijassa-1217	62	14	the	the	DET
ijassa-1217	62	15	assumptions	assumption	NOUN
ijassa-1217	62	16	of	of	ADP
ijassa-1217	62	17	theorem	theorem	ADJ
ijassa-1217	62	18	2.1	2.1	NUM
ijassa-1217	62	19	above	above	ADV
ijassa-1217	62	20	,	,	PUNCT
ijassa-1217	62	21	this	this	DET
ijassa-1217	62	22	auxiliary	auxiliary	ADJ
ijassa-1217	62	23	sequence	sequence	NOUN
ijassa-1217	62	24	{	{	PUNCT
ijassa-1217	62	25	ûk	ûk	NOUN
ijassa-1217	62	26	}	}	PUNCT
ijassa-1217	62	27	converges	converge	VERB
ijassa-1217	62	28	linearly	linearly	ADV
ijassa-1217	62	29	to	to	ADP
ijassa-1217	62	30	ū	ū	NOUN
ijassa-1217	62	31	,	,	PUNCT
ijassa-1217	62	32	with	with	ADP
ijassa-1217	62	33	the	the	DET
ijassa-1217	62	34	asymptotic	asymptotic	ADJ
ijassa-1217	62	35	ratio	ratio	NOUN
ijassa-1217	62	36	of	of	ADP
ijassa-1217	62	37	1/4	1/4	NUM
ijassa-1217	62	38	(	(	PUNCT
ijassa-1217	62	39	instead	instead	ADV
ijassa-1217	62	40	of	of	ADP
ijassa-1217	62	41	1/2	1/2	NUM
ijassa-1217	62	42	for	for	ADP
ijassa-1217	62	43	{	{	PUNCT
ijassa-1217	62	44	uk	uk	PROPN
ijassa-1217	62	45	}	}	PUNCT
ijassa-1217	62	46	,	,	PUNCT
ijassa-1217	62	47	given	give	VERB
ijassa-1217	62	48	by	by	ADP
ijassa-1217	62	49	(	(	PUNCT
ijassa-1217	62	50	2.5	2.5	NUM
ijassa-1217	62	51	)	)	PUNCT
ijassa-1217	62	52	)	)	PUNCT
ijassa-1217	62	53	,	,	PUNCT
ijassa-1217	62	54	from	from	ADP
ijassa-1217	62	55	all	all	DET
ijassa-1217	62	56	points	point	NOUN
ijassa-1217	62	57	in	in	ADP
ijassa-1217	62	58	the	the	DET
ijassa-1217	62	59	domain	domain	NOUN
ijassa-1217	62	60	of	of	ADP
ijassa-1217	62	61	convergence	convergence	NOUN
ijassa-1217	62	62	of	of	ADP
ijassa-1217	62	63	nm	nm	PRON
ijassa-1217	62	64	sequences	sequence	NOUN
ijassa-1217	62	65	{	{	PUNCT
ijassa-1217	62	66	uk	uk	PROPN
ijassa-1217	62	67	}	}	PUNCT
ijassa-1217	62	68	.	.	PUNCT
ijassa-1217	63	1	we	we	PRON
ijassa-1217	63	2	now	now	ADV
ijassa-1217	63	3	turn	turn	VERB
ijassa-1217	63	4	our	our	PRON
ijassa-1217	63	5	attention	attention	NOUN
ijassa-1217	63	6	to	to	ADP
ijassa-1217	63	7	globalization	globalization	NOUN
ijassa-1217	63	8	issues	issue	NOUN
ijassa-1217	63	9	,	,	PUNCT
ijassa-1217	63	10	and	and	CCONJ
ijassa-1217	63	11	recall	recall	VERB
ijassa-1217	63	12	that	that	DET
ijassa-1217	63	13	convergence	convergence	NOUN
ijassa-1217	63	14	of	of	ADP
ijassa-1217	63	15	the	the	DET
ijassa-1217	63	16	nm	nm	NOUN
ijassa-1217	63	17	can	can	AUX
ijassa-1217	63	18	be	be	AUX
ijassa-1217	63	19	globalized	globalize	VERB
ijassa-1217	63	20	in	in	ADP
ijassa-1217	63	21	standard	standard	ADJ
ijassa-1217	63	22	ways	way	NOUN
ijassa-1217	63	23	,	,	PUNCT
ijassa-1217	63	24	e.g.	e.g.	ADV
ijassa-1217	63	25	,	,	PUNCT
ijassa-1217	63	26	by	by	ADP
ijassa-1217	63	27	the	the	DET
ijassa-1217	63	28	armijo	armijo	PROPN
ijassa-1217	63	29	linesearch	linesearch	NOUN
ijassa-1217	63	30	procedure	procedure	NOUN
ijassa-1217	63	31	for	for	ADP
ijassa-1217	63	32	the	the	DET
ijassa-1217	63	33	residual	residual	ADJ
ijassa-1217	63	34	‖φ(·)‖	‖φ(·)‖	NOUN
ijassa-1217	63	35	used	use	VERB
ijassa-1217	63	36	as	as	ADP
ijassa-1217	63	37	a	a	DET
ijassa-1217	63	38	merit	merit	NOUN
ijassa-1217	63	39	function	function	NOUN
ijassa-1217	63	40	;	;	PUNCT
ijassa-1217	63	41	see	see	VERB
ijassa-1217	63	42	[	[	X
ijassa-1217	63	43	18	18	NUM
ijassa-1217	63	44	,	,	PUNCT
ijassa-1217	63	45	section	section	NOUN
ijassa-1217	63	46	5.1.1	5.1.1	NOUN
ijassa-1217	63	47	]	]	PUNCT
ijassa-1217	63	48	.	.	PUNCT
ijassa-1217	64	1	the	the	DET
ijassa-1217	64	2	following	follow	VERB
ijassa-1217	64	3	is	be	AUX
ijassa-1217	64	4	a	a	DET
ijassa-1217	64	5	prototype	prototype	NOUN
ijassa-1217	64	6	algorithm	algorithm	NOUN
ijassa-1217	64	7	of	of	ADP
ijassa-1217	64	8	this	this	DET
ijassa-1217	64	9	kind	kind	NOUN
ijassa-1217	64	10	.	.	PUNCT
ijassa-1217	65	1	copyright	copyright	NOUN
ijassa-1217	65	2	©	©	ADP
ijassa-1217	65	3	2022	2022	NUM
ijassa-1217	65	4	assa	assa	NOUN
ijassa-1217	65	5	.	.	PUNCT
ijassa-1217	66	1	adv	adv	PROPN
ijassa-1217	66	2	syst	syst	PROPN
ijassa-1217	66	3	sci	sci	PROPN
ijassa-1217	66	4	appl	appl	PROPN
ijassa-1217	66	5	(	(	PUNCT
ijassa-1217	66	6	2022	2022	NUM
ijassa-1217	66	7	)	)	PUNCT
ijassa-1217	66	8	76	76	NUM
ijassa-1217	66	9	a.	a.	NOUN
ijassa-1217	66	10	f.	f.	PROPN
ijassa-1217	66	11	izmailov	izmailov	PROPN
ijassa-1217	66	12	,	,	PUNCT
ijassa-1217	66	13	i.	i.	PROPN
ijassa-1217	66	14	s.	s.	PROPN
ijassa-1217	66	15	rodin	rodin	PROPN
ijassa-1217	66	16	algorithm	algorithm	PROPN
ijassa-1217	66	17	2.1	2.1	NUM
ijassa-1217	66	18	:	:	PUNCT
ijassa-1217	66	19	fix	fix	VERB
ijassa-1217	66	20	the	the	DET
ijassa-1217	66	21	parameters	parameter	NOUN
ijassa-1217	66	22	σ	σ	PROPN
ijassa-1217	66	23	∈	∈	PROPN
ijassa-1217	66	24	(	(	PUNCT
ijassa-1217	66	25	0	0	NUM
ijassa-1217	66	26	,	,	PUNCT
ijassa-1217	66	27	1	1	NUM
ijassa-1217	66	28	)	)	PUNCT
ijassa-1217	66	29	and	and	CCONJ
ijassa-1217	66	30	θ	θ	PROPN
ijassa-1217	66	31	∈	∈	PROPN
ijassa-1217	66	32	(	(	PUNCT
ijassa-1217	66	33	0	0	NUM
ijassa-1217	66	34	,	,	PUNCT
ijassa-1217	66	35	1	1	NUM
ijassa-1217	66	36	)	)	PUNCT
ijassa-1217	66	37	.	.	PUNCT
ijassa-1217	67	1	choose	choose	VERB
ijassa-1217	67	2	u0	u0	PROPN
ijassa-1217	67	3	∈	∈	PROPN
ijassa-1217	67	4	rp	rp	NOUN
ijassa-1217	67	5	,	,	PUNCT
ijassa-1217	67	6	and	and	CCONJ
ijassa-1217	67	7	set	set	VERB
ijassa-1217	67	8	k	k	PROPN
ijassa-1217	67	9	=	=	PUNCT
ijassa-1217	67	10	0	0	NUM
ijassa-1217	67	11	.	.	NOUN
ijassa-1217	67	12	1	1	NUM
ijassa-1217	67	13	.	.	X
ijassa-1217	67	14	compute	compute	NOUN
ijassa-1217	67	15	vk	vk	NOUN
ijassa-1217	67	16	∈	∈	PROPN
ijassa-1217	67	17	rp	rp	NOUN
ijassa-1217	67	18	solving	solve	VERB
ijassa-1217	67	19	the	the	DET
ijassa-1217	67	20	linear	linear	ADJ
ijassa-1217	67	21	system	system	NOUN
ijassa-1217	67	22	(	(	PUNCT
ijassa-1217	67	23	2.4	2.4	NUM
ijassa-1217	67	24	)	)	PUNCT
ijassa-1217	67	25	.	.	PUNCT
ijassa-1217	68	1	if	if	SCONJ
ijassa-1217	68	2	(	(	PUNCT
ijassa-1217	68	3	2.4	2.4	NUM
ijassa-1217	68	4	)	)	PUNCT
ijassa-1217	68	5	can	can	AUX
ijassa-1217	68	6	not	not	PART
ijassa-1217	68	7	be	be	AUX
ijassa-1217	68	8	solved	solve	VERB
ijassa-1217	68	9	,	,	PUNCT
ijassa-1217	68	10	stop	stop	VERB
ijassa-1217	68	11	with	with	ADP
ijassa-1217	68	12	failure	failure	NOUN
ijassa-1217	68	13	.	.	PUNCT
ijassa-1217	69	1	2	2	X
ijassa-1217	69	2	.	.	X
ijassa-1217	69	3	set	set	VERB
ijassa-1217	69	4	α	α	NOUN
ijassa-1217	69	5	=	=	SYM
ijassa-1217	69	6	1	1	X
ijassa-1217	69	7	.	.	PUNCT
ijassa-1217	70	1	if	if	SCONJ
ijassa-1217	70	2	the	the	DET
ijassa-1217	70	3	inequality	inequality	NOUN
ijassa-1217	70	4	‖φ(uk	‖φ(uk	PROPN
ijassa-1217	70	5	+	+	CCONJ
ijassa-1217	70	6	αvk)‖	αvk)‖	ADJ
ijassa-1217	70	7	≤	≤	NOUN
ijassa-1217	70	8	(	(	PUNCT
ijassa-1217	70	9	1−	1−	NUM
ijassa-1217	70	10	σα)‖φ(uk)‖	σα)‖φ(uk)‖	NOUN
ijassa-1217	70	11	(	(	PUNCT
ijassa-1217	70	12	2.7	2.7	NUM
ijassa-1217	70	13	)	)	PUNCT
ijassa-1217	70	14	holds	hold	NOUN
ijassa-1217	70	15	,	,	PUNCT
ijassa-1217	70	16	set	set	VERB
ijassa-1217	70	17	αk	αk	NOUN
ijassa-1217	70	18	=	=	SYM
ijassa-1217	70	19	α	α	PROPN
ijassa-1217	70	20	and	and	CCONJ
ijassa-1217	70	21	go	go	VERB
ijassa-1217	70	22	to	to	PART
ijassa-1217	70	23	step	step	VERB
ijassa-1217	70	24	3	3	NUM
ijassa-1217	70	25	.	.	PUNCT
ijassa-1217	71	1	otherwise	otherwise	ADV
ijassa-1217	71	2	,	,	PUNCT
ijassa-1217	71	3	keep	keep	VERB
ijassa-1217	71	4	replacing	replace	VERB
ijassa-1217	71	5	α	α	NOUN
ijassa-1217	71	6	by	by	ADP
ijassa-1217	71	7	θα	θα	NOUN
ijassa-1217	71	8	until	until	ADP
ijassa-1217	71	9	(	(	PUNCT
ijassa-1217	71	10	2.7	2.7	NUM
ijassa-1217	71	11	)	)	PUNCT
ijassa-1217	71	12	is	be	AUX
ijassa-1217	71	13	satisfied	satisfied	ADJ
ijassa-1217	71	14	.	.	PUNCT
ijassa-1217	72	1	3	3	X
ijassa-1217	72	2	.	.	X
ijassa-1217	72	3	set	set	VERB
ijassa-1217	72	4	uk+1	uk+1	NOUN
ijassa-1217	72	5	=	=	SYM
ijassa-1217	72	6	uk	uk	PROPN
ijassa-1217	72	7	+	+	CCONJ
ijassa-1217	72	8	αkv	αkv	PROPN
ijassa-1217	72	9	k	k	NOUN
ijassa-1217	72	10	,	,	PUNCT
ijassa-1217	72	11	increase	increase	VERB
ijassa-1217	72	12	k	k	NOUN
ijassa-1217	72	13	by	by	ADP
ijassa-1217	72	14	1	1	NUM
ijassa-1217	72	15	,	,	PUNCT
ijassa-1217	72	16	and	and	CCONJ
ijassa-1217	72	17	go	go	VERB
ijassa-1217	72	18	to	to	PART
ijassa-1217	72	19	step	step	VERB
ijassa-1217	72	20	1	1	NUM
ijassa-1217	72	21	.	.	PUNCT
ijassa-1217	72	22	according	accord	VERB
ijassa-1217	72	23	to	to	ADP
ijassa-1217	72	24	[	[	X
ijassa-1217	72	25	18	18	NUM
ijassa-1217	72	26	,	,	PUNCT
ijassa-1217	72	27	theorem	theorem	VERB
ijassa-1217	72	28	5.3	5.3	NUM
ijassa-1217	72	29	]	]	PUNCT
ijassa-1217	72	30	,	,	PUNCT
ijassa-1217	72	31	this	this	DET
ijassa-1217	72	32	algorithm	algorithm	NOUN
ijassa-1217	72	33	converges	converge	VERB
ijassa-1217	72	34	globally	globally	ADV
ijassa-1217	72	35	in	in	ADP
ijassa-1217	72	36	a	a	DET
ijassa-1217	72	37	sense	sense	NOUN
ijassa-1217	72	38	that	that	SCONJ
ijassa-1217	72	39	any	any	DET
ijassa-1217	72	40	accumulation	accumulation	NOUN
ijassa-1217	72	41	point	point	NOUN
ijassa-1217	72	42	ū	ū	NOUN
ijassa-1217	72	43	of	of	ADP
ijassa-1217	72	44	any	any	DET
ijassa-1217	72	45	sequence	sequence	NOUN
ijassa-1217	72	46	{	{	PUNCT
ijassa-1217	72	47	uk	uk	PROPN
ijassa-1217	72	48	}	}	PUNCT
ijassa-1217	72	49	generated	generate	VERB
ijassa-1217	72	50	by	by	ADP
ijassa-1217	72	51	this	this	DET
ijassa-1217	72	52	algorithm	algorithm	NOUN
ijassa-1217	72	53	satisfies	satisfie	NOUN
ijassa-1217	72	54	(	(	PUNCT
ijassa-1217	72	55	φ′(ū))>φ(ū	φ′(ū))>φ(ū	X
ijassa-1217	72	56	)	)	PUNCT
ijassa-1217	72	57	=	=	SYM
ijassa-1217	72	58	0	0	X
ijassa-1217	72	59	.	.	PUNCT
ijassa-1217	73	1	moreover	moreover	ADV
ijassa-1217	73	2	,	,	PUNCT
ijassa-1217	73	3	according	accord	VERB
ijassa-1217	73	4	to	to	ADP
ijassa-1217	73	5	[	[	X
ijassa-1217	73	6	18	18	NUM
ijassa-1217	73	7	,	,	PUNCT
ijassa-1217	73	8	theorem	theorem	VERB
ijassa-1217	73	9	5.4	5.4	NUM
ijassa-1217	73	10	]	]	PUNCT
ijassa-1217	73	11	,	,	PUNCT
ijassa-1217	73	12	step	step	NOUN
ijassa-1217	73	13	2	2	NUM
ijassa-1217	73	14	of	of	ADP
ijassa-1217	73	15	algorithm	algorithm	NOUN
ijassa-1217	73	16	2.1	2.1	NUM
ijassa-1217	73	17	accepts	accept	VERB
ijassa-1217	73	18	the	the	DET
ijassa-1217	73	19	unit	unit	NOUN
ijassa-1217	73	20	stepsize	stepsize	VERB
ijassa-1217	73	21	when	when	SCONJ
ijassa-1217	73	22	uk	uk	PROPN
ijassa-1217	73	23	is	be	AUX
ijassa-1217	73	24	close	close	ADJ
ijassa-1217	73	25	to	to	ADP
ijassa-1217	73	26	a	a	DET
ijassa-1217	73	27	nonsingular	nonsingular	ADJ
ijassa-1217	73	28	solution	solution	NOUN
ijassa-1217	73	29	,	,	PUNCT
ijassa-1217	73	30	thus	thus	ADV
ijassa-1217	73	31	allowing	allow	VERB
ijassa-1217	73	32	the	the	DET
ijassa-1217	73	33	globalized	globalized	ADJ
ijassa-1217	73	34	algorithm	algorithm	NOUN
ijassa-1217	73	35	to	to	PART
ijassa-1217	73	36	inherit	inherit	VERB
ijassa-1217	73	37	the	the	DET
ijassa-1217	73	38	superlinear	superlinear	ADJ
ijassa-1217	73	39	convergence	convergence	NOUN
ijassa-1217	73	40	rate	rate	NOUN
ijassa-1217	73	41	of	of	ADP
ijassa-1217	73	42	the	the	DET
ijassa-1217	73	43	basic	basic	ADJ
ijassa-1217	73	44	nm	nm	NOUN
ijassa-1217	73	45	.	.	PUNCT
ijassa-1217	74	1	near	near	ADP
ijassa-1217	74	2	singular	singular	ADJ
ijassa-1217	74	3	solutions	solution	NOUN
ijassa-1217	74	4	,	,	PUNCT
ijassa-1217	74	5	the	the	DET
ijassa-1217	74	6	crucial	crucial	ADJ
ijassa-1217	74	7	issue	issue	NOUN
ijassa-1217	74	8	of	of	ADP
ijassa-1217	74	9	asymptotic	asymptotic	ADJ
ijassa-1217	74	10	acceptance	acceptance	NOUN
ijassa-1217	74	11	of	of	ADP
ijassa-1217	74	12	the	the	DET
ijassa-1217	74	13	unit	unit	NOUN
ijassa-1217	74	14	stepsize	stepsize	NOUN
ijassa-1217	74	15	is	be	AUX
ijassa-1217	74	16	much	much	ADV
ijassa-1217	74	17	more	more	ADV
ijassa-1217	74	18	involved	involve	VERB
ijassa-1217	74	19	.	.	PUNCT
ijassa-1217	75	1	the	the	DET
ijassa-1217	75	2	following	following	ADJ
ijassa-1217	75	3	result	result	NOUN
ijassa-1217	75	4	was	be	AUX
ijassa-1217	75	5	obtained	obtain	VERB
ijassa-1217	75	6	in	in	ADP
ijassa-1217	75	7	[	[	X
ijassa-1217	75	8	6	6	NUM
ijassa-1217	75	9	,	,	PUNCT
ijassa-1217	75	10	theorem	theorem	VERB
ijassa-1217	75	11	1	1	NUM
ijassa-1217	75	12	]	]	PUNCT
ijassa-1217	75	13	.	.	PUNCT
ijassa-1217	76	1	theorem	theorem	VERB
ijassa-1217	76	2	2.2	2.2	NUM
ijassa-1217	76	3	:	:	PUNCT
ijassa-1217	76	4	under	under	ADP
ijassa-1217	76	5	the	the	DET
ijassa-1217	76	6	assumptions	assumption	NOUN
ijassa-1217	76	7	of	of	ADP
ijassa-1217	76	8	theorem	theorem	NOUN
ijassa-1217	76	9	2.1	2.1	NUM
ijassa-1217	76	10	,	,	PUNCT
ijassa-1217	76	11	a	a	DET
ijassa-1217	76	12	set	set	ADJ
ijassa-1217	76	13	u	u	NOUN
ijassa-1217	76	14	in	in	ADP
ijassa-1217	76	15	it	it	PRON
ijassa-1217	76	16	can	can	AUX
ijassa-1217	76	17	be	be	AUX
ijassa-1217	76	18	chosen	choose	VERB
ijassa-1217	76	19	so	so	SCONJ
ijassa-1217	76	20	that	that	SCONJ
ijassa-1217	76	21	for	for	ADP
ijassa-1217	76	22	every	every	DET
ijassa-1217	76	23	starting	starting	NOUN
ijassa-1217	76	24	point	point	NOUN
ijassa-1217	76	25	u0	u0	PROPN
ijassa-1217	76	26	∈	∈	PROPN
ijassa-1217	76	27	u	u	NOUN
ijassa-1217	76	28	,	,	PUNCT
ijassa-1217	76	29	algorithm	algorithm	NOUN
ijassa-1217	76	30	2.1	2.1	NUM
ijassa-1217	76	31	with	with	ADP
ijassa-1217	76	32	σ	σ	PROPN
ijassa-1217	76	33	∈	∈	PROPN
ijassa-1217	76	34	(	(	PUNCT
ijassa-1217	76	35	0	0	NUM
ijassa-1217	76	36	,	,	PUNCT
ijassa-1217	76	37	3/4	3/4	NUM
ijassa-1217	76	38	)	)	PUNCT
ijassa-1217	76	39	uniquely	uniquely	ADV
ijassa-1217	76	40	defines	define	VERB
ijassa-1217	76	41	the	the	DET
ijassa-1217	76	42	sequence	sequence	NOUN
ijassa-1217	76	43	{	{	PUNCT
ijassa-1217	76	44	uk	uk	PROPN
ijassa-1217	76	45	}	}	PUNCT
ijassa-1217	76	46	,	,	PUNCT
ijassa-1217	76	47	and	and	CCONJ
ijassa-1217	76	48	αk	αk	SCONJ
ijassa-1217	76	49	=	=	NOUN
ijassa-1217	76	50	1	1	NUM
ijassa-1217	76	51	is	be	AUX
ijassa-1217	76	52	accepted	accept	VERB
ijassa-1217	76	53	at	at	ADP
ijassa-1217	76	54	step	step	NOUN
ijassa-1217	76	55	2	2	NUM
ijassa-1217	76	56	of	of	ADP
ijassa-1217	76	57	this	this	DET
ijassa-1217	76	58	algorithm	algorithm	NOUN
ijassa-1217	76	59	for	for	ADP
ijassa-1217	76	60	all	all	DET
ijassa-1217	76	61	k	k	PROPN
ijassa-1217	76	62	large	large	ADJ
ijassa-1217	76	63	enough	enough	ADV
ijassa-1217	76	64	.	.	PUNCT
ijassa-1217	77	1	combining	combine	VERB
ijassa-1217	77	2	theorems	theorem	NOUN
ijassa-1217	77	3	2.1	2.1	NUM
ijassa-1217	77	4	and	and	CCONJ
ijassa-1217	77	5	2.2	2.2	NUM
ijassa-1217	77	6	,	,	PUNCT
ijassa-1217	77	7	one	one	PRON
ijassa-1217	77	8	can	can	AUX
ijassa-1217	77	9	conclude	conclude	VERB
ijassa-1217	77	10	that	that	SCONJ
ijassa-1217	77	11	once	once	SCONJ
ijassa-1217	77	12	a	a	DET
ijassa-1217	77	13	sequence	sequence	NOUN
ijassa-1217	77	14	generated	generate	VERB
ijassa-1217	77	15	by	by	ADP
ijassa-1217	77	16	algorithm	algorithm	NOUN
ijassa-1217	77	17	2.1	2.1	NUM
ijassa-1217	77	18	enters	enter	VERB
ijassa-1217	77	19	the	the	DET
ijassa-1217	77	20	domain	domain	NOUN
ijassa-1217	77	21	u	u	NOUN
ijassa-1217	77	22	specified	specify	VERB
ijassa-1217	77	23	in	in	ADP
ijassa-1217	77	24	those	those	DET
ijassa-1217	77	25	theorems	theorem	NOUN
ijassa-1217	77	26	,	,	PUNCT
ijassa-1217	77	27	this	this	DET
ijassa-1217	77	28	sequence	sequence	NOUN
ijassa-1217	77	29	converges	converge	VERB
ijassa-1217	77	30	linearly	linearly	ADV
ijassa-1217	77	31	to	to	ADP
ijassa-1217	77	32	ū	ū	NOUN
ijassa-1217	77	33	with	with	ADP
ijassa-1217	77	34	the	the	DET
ijassa-1217	77	35	asymptotic	asymptotic	ADJ
ijassa-1217	77	36	ratio	ratio	NOUN
ijassa-1217	77	37	of	of	ADP
ijassa-1217	77	38	1/2	1/2	NUM
ijassa-1217	77	39	.	.	PUNCT
ijassa-1217	78	1	moreover	moreover	ADV
ijassa-1217	78	2	,	,	PUNCT
ijassa-1217	78	3	for	for	SCONJ
ijassa-1217	78	4	the	the	DET
ijassa-1217	78	5	“	"	PUNCT
ijassa-1217	78	6	extrapolated	extrapolated	ADJ
ijassa-1217	78	7	”	"	PUNCT
ijassa-1217	78	8	sequence	sequence	NOUN
ijassa-1217	78	9	{	{	PUNCT
ijassa-1217	78	10	ûk	ûk	NOUN
ijassa-1217	78	11	}	}	PUNCT
ijassa-1217	78	12	generated	generate	VERB
ijassa-1217	78	13	according	accord	VERB
ijassa-1217	78	14	to	to	ADP
ijassa-1217	78	15	(	(	PUNCT
ijassa-1217	78	16	2.6	2.6	NUM
ijassa-1217	78	17	)	)	PUNCT
ijassa-1217	78	18	,	,	PUNCT
ijassa-1217	78	19	the	the	DET
ijassa-1217	78	20	asymptotic	asymptotic	ADJ
ijassa-1217	78	21	ratio	ratio	NOUN
ijassa-1217	78	22	is	be	AUX
ijassa-1217	78	23	1/4	1/4	NUM
ijassa-1217	78	24	.	.	PUNCT
ijassa-1217	79	1	it	it	PRON
ijassa-1217	79	2	is	be	AUX
ijassa-1217	79	3	important	important	ADJ
ijassa-1217	79	4	to	to	PART
ijassa-1217	79	5	note	note	VERB
ijassa-1217	79	6	that	that	SCONJ
ijassa-1217	79	7	the	the	DET
ijassa-1217	79	8	main	main	ADJ
ijassa-1217	79	9	iterative	iterative	NOUN
ijassa-1217	79	10	sequences	sequence	NOUN
ijassa-1217	79	11	{	{	PUNCT
ijassa-1217	79	12	uk	uk	PROPN
ijassa-1217	79	13	}	}	PUNCT
ijassa-1217	79	14	are	be	AUX
ijassa-1217	79	15	not	not	PART
ijassa-1217	79	16	affected	affect	VERB
ijassa-1217	79	17	at	at	ADV
ijassa-1217	79	18	all	all	ADV
ijassa-1217	79	19	by	by	ADP
ijassa-1217	79	20	computing	compute	VERB
ijassa-1217	79	21	the	the	DET
ijassa-1217	79	22	auxiliary	auxiliary	ADJ
ijassa-1217	79	23	sequences	sequence	NOUN
ijassa-1217	79	24	{	{	PUNCT
ijassa-1217	79	25	ûk	ûk	PROPN
ijassa-1217	79	26	}	}	PUNCT
ijassa-1217	79	27	,	,	PUNCT
ijassa-1217	79	28	and	and	CCONJ
ijassa-1217	79	29	hence	hence	ADV
ijassa-1217	79	30	,	,	PUNCT
ijassa-1217	79	31	doing	do	VERB
ijassa-1217	79	32	so	so	ADV
ijassa-1217	79	33	does	do	AUX
ijassa-1217	79	34	not	not	PART
ijassa-1217	79	35	affect	affect	VERB
ijassa-1217	79	36	the	the	DET
ijassa-1217	79	37	global	global	ADJ
ijassa-1217	79	38	convergence	convergence	NOUN
ijassa-1217	79	39	properties	property	NOUN
ijassa-1217	79	40	of	of	ADP
ijassa-1217	79	41	the	the	DET
ijassa-1217	79	42	algorithm	algorithm	NOUN
ijassa-1217	79	43	.	.	PUNCT
ijassa-1217	80	1	it	it	PRON
ijassa-1217	80	2	should	should	AUX
ijassa-1217	80	3	also	also	ADV
ijassa-1217	80	4	be	be	AUX
ijassa-1217	80	5	mentioned	mention	VERB
ijassa-1217	80	6	that	that	SCONJ
ijassa-1217	80	7	generating	generate	VERB
ijassa-1217	80	8	the	the	DET
ijassa-1217	80	9	auxiliary	auxiliary	ADJ
ijassa-1217	80	10	sequence	sequence	NOUN
ijassa-1217	80	11	{	{	PUNCT
ijassa-1217	80	12	ûk	ûk	NOUN
ijassa-1217	80	13	}	}	PUNCT
ijassa-1217	80	14	costs	cost	VERB
ijassa-1217	80	15	essentially	essentially	ADV
ijassa-1217	80	16	nothing	nothing	PRON
ijassa-1217	80	17	.	.	PUNCT
ijassa-1217	81	1	getting	get	VERB
ijassa-1217	81	2	back	back	ADV
ijassa-1217	81	3	to	to	ADP
ijassa-1217	81	4	optimization	optimization	NOUN
ijassa-1217	81	5	,	,	PUNCT
ijassa-1217	81	6	we	we	PRON
ijassa-1217	81	7	first	first	ADV
ijassa-1217	81	8	consider	consider	VERB
ijassa-1217	81	9	the	the	DET
ijassa-1217	81	10	case	case	NOUN
ijassa-1217	81	11	when	when	SCONJ
ijassa-1217	81	12	there	there	PRON
ijassa-1217	81	13	are	be	VERB
ijassa-1217	81	14	no	no	DET
ijassa-1217	81	15	inequality	inequality	NOUN
ijassa-1217	81	16	constraints	constraint	NOUN
ijassa-1217	81	17	in	in	ADP
ijassa-1217	81	18	(	(	PUNCT
ijassa-1217	81	19	1.1	1.1	NUM
ijassa-1217	81	20	)	)	PUNCT
ijassa-1217	81	21	(	(	PUNCT
ijassa-1217	81	22	i.e.	i.e.	X
ijassa-1217	81	23	,	,	PUNCT
ijassa-1217	81	24	m	m	VERB
ijassa-1217	81	25	=	=	NOUN
ijassa-1217	81	26	0	0	NUM
ijassa-1217	81	27	):	):	PUNCT
ijassa-1217	81	28	minimize	minimize	VERB
ijassa-1217	81	29	f(x	f(x	PROPN
ijassa-1217	81	30	)	)	PUNCT
ijassa-1217	81	31	subject	subject	NOUN
ijassa-1217	81	32	to	to	ADP
ijassa-1217	81	33	h(x	h(x	PROPN
ijassa-1217	81	34	)	)	PUNCT
ijassa-1217	82	1	=	=	PUNCT
ijassa-1217	83	1	0	0	X
ijassa-1217	83	2	.	.	PUNCT
ijassa-1217	84	1	(	(	PUNCT
ijassa-1217	84	2	2.8	2.8	NUM
ijassa-1217	84	3	)	)	PUNCT
ijassa-1217	84	4	in	in	ADP
ijassa-1217	84	5	this	this	DET
ijassa-1217	84	6	case	case	NOUN
ijassa-1217	84	7	,	,	PUNCT
ijassa-1217	84	8	the	the	DET
ijassa-1217	84	9	kkt	kkt	PROPN
ijassa-1217	84	10	system	system	NOUN
ijassa-1217	84	11	(	(	PUNCT
ijassa-1217	84	12	1.2	1.2	NUM
ijassa-1217	84	13	)	)	PUNCT
ijassa-1217	84	14	can	can	AUX
ijassa-1217	84	15	be	be	AUX
ijassa-1217	84	16	written	write	VERB
ijassa-1217	84	17	as	as	ADP
ijassa-1217	84	18	(	(	PUNCT
ijassa-1217	84	19	2.3	2.3	NUM
ijassa-1217	84	20	)	)	PUNCT
ijassa-1217	84	21	with	with	ADP
ijassa-1217	84	22	p	p	PROPN
ijassa-1217	84	23	=	=	PUNCT
ijassa-1217	84	24	n+	n+	PROPN
ijassa-1217	84	25	l	l	NOUN
ijassa-1217	84	26	,	,	PUNCT
ijassa-1217	84	27	φ	φ	PROPN
ijassa-1217	84	28	:	:	PUNCT
ijassa-1217	84	29	rn	rn	PROPN
ijassa-1217	84	30	×	×	PROPN
ijassa-1217	84	31	rl	rl	PROPN
ijassa-1217	84	32	→	→	SYM
ijassa-1217	84	33	rn	rn	PROPN
ijassa-1217	84	34	×	×	PROPN
ijassa-1217	84	35	rl	rl	PROPN
ijassa-1217	84	36	,	,	PUNCT
ijassa-1217	84	37	φ(u	φ(u	NOUN
ijassa-1217	84	38	)	)	PUNCT
ijassa-1217	84	39	=	=	SYM
ijassa-1217	85	1	(	(	PUNCT
ijassa-1217	85	2	∂l	∂l	PROPN
ijassa-1217	85	3	∂x	∂x	PROPN
ijassa-1217	85	4	(	(	PUNCT
ijassa-1217	85	5	x	x	NOUN
ijassa-1217	85	6	,	,	PUNCT
ijassa-1217	85	7	λ	λ	NOUN
ijassa-1217	85	8	)	)	PUNCT
ijassa-1217	85	9	,	,	PUNCT
ijassa-1217	85	10	h(x	h(x	PROPN
ijassa-1217	85	11	)	)	PUNCT
ijassa-1217	85	12	)	)	PUNCT
ijassa-1217	85	13	,	,	PUNCT
ijassa-1217	85	14	(	(	PUNCT
ijassa-1217	85	15	2.9	2.9	NUM
ijassa-1217	85	16	)	)	PUNCT
ijassa-1217	85	17	where	where	SCONJ
ijassa-1217	85	18	u	u	NOUN
ijassa-1217	85	19	=	=	SYM
ijassa-1217	85	20	(	(	PUNCT
ijassa-1217	85	21	x	x	NOUN
ijassa-1217	85	22	,	,	PUNCT
ijassa-1217	85	23	λ	λ	NOUN
ijassa-1217	85	24	)	)	PUNCT
ijassa-1217	85	25	,	,	PUNCT
ijassa-1217	85	26	and	and	CCONJ
ijassa-1217	85	27	the	the	DET
ijassa-1217	85	28	missing	miss	VERB
ijassa-1217	85	29	argument	argument	NOUN
ijassa-1217	85	30	µ	µ	PROPN
ijassa-1217	85	31	of	of	ADP
ijassa-1217	85	32	l	l	NOUN
ijassa-1217	85	33	is	be	AUX
ijassa-1217	85	34	dropped	drop	VERB
ijassa-1217	85	35	.	.	PUNCT
ijassa-1217	86	1	algorithm	algorithm	NOUN
ijassa-1217	86	2	2.1	2.1	NUM
ijassa-1217	86	3	,	,	PUNCT
ijassa-1217	86	4	as	as	ADV
ijassa-1217	86	5	well	well	ADV
ijassa-1217	86	6	as	as	ADP
ijassa-1217	86	7	its	its	PRON
ijassa-1217	86	8	version	version	NOUN
ijassa-1217	86	9	with	with	ADP
ijassa-1217	86	10	extrapolation	extrapolation	NOUN
ijassa-1217	86	11	,	,	PUNCT
ijassa-1217	86	12	and	and	CCONJ
ijassa-1217	86	13	theorems	theorem	VERB
ijassa-1217	86	14	2.1	2.1	NUM
ijassa-1217	86	15	and	and	CCONJ
ijassa-1217	86	16	2.2	2.2	NUM
ijassa-1217	86	17	are	be	AUX
ijassa-1217	86	18	certainly	certainly	ADV
ijassa-1217	86	19	applicable	applicable	ADJ
ijassa-1217	86	20	to	to	ADP
ijassa-1217	86	21	this	this	DET
ijassa-1217	86	22	special	special	ADJ
ijassa-1217	86	23	case	case	NOUN
ijassa-1217	86	24	of	of	ADP
ijassa-1217	86	25	a	a	DET
ijassa-1217	86	26	nonlinear	nonlinear	ADJ
ijassa-1217	86	27	equation	equation	NOUN
ijassa-1217	86	28	(	(	PUNCT
ijassa-1217	86	29	2.3	2.3	NUM
ijassa-1217	86	30	)	)	PUNCT
ijassa-1217	86	31	.	.	PUNCT
ijassa-1217	87	1	the	the	DET
ijassa-1217	87	2	problem	problem	NOUN
ijassa-1217	87	3	,	,	PUNCT
ijassa-1217	87	4	however	however	ADV
ijassa-1217	87	5	,	,	PUNCT
ijassa-1217	87	6	is	be	AUX
ijassa-1217	87	7	that	that	SCONJ
ijassa-1217	87	8	in	in	ADP
ijassa-1217	87	9	the	the	DET
ijassa-1217	87	10	optimization	optimization	NOUN
ijassa-1217	87	11	context	context	NOUN
ijassa-1217	87	12	,	,	PUNCT
ijassa-1217	87	13	using	use	VERB
ijassa-1217	87	14	the	the	DET
ijassa-1217	87	15	residual	residual	NOUN
ijassa-1217	87	16	of	of	ADP
ijassa-1217	87	17	a	a	DET
ijassa-1217	87	18	first	first	ADJ
ijassa-1217	87	19	-	-	PUNCT
ijassa-1217	87	20	order	order	NOUN
ijassa-1217	87	21	optimality	optimality	NOUN
ijassa-1217	87	22	system	system	NOUN
ijassa-1217	87	23	as	as	SCONJ
ijassa-1217	87	24	a	a	DET
ijassa-1217	87	25	merit	merit	NOUN
ijassa-1217	87	26	function	function	NOUN
ijassa-1217	87	27	can	can	AUX
ijassa-1217	87	28	hardly	hardly	ADV
ijassa-1217	87	29	be	be	AUX
ijassa-1217	87	30	justified	justify	VERB
ijassa-1217	87	31	:	:	PUNCT
ijassa-1217	87	32	a	a	DET
ijassa-1217	87	33	merit	merit	NOUN
ijassa-1217	87	34	function	function	NOUN
ijassa-1217	87	35	should	should	AUX
ijassa-1217	87	36	be	be	AUX
ijassa-1217	87	37	reflecting	reflect	VERB
ijassa-1217	87	38	the	the	DET
ijassa-1217	87	39	intention	intention	NOUN
ijassa-1217	87	40	to	to	PART
ijassa-1217	87	41	find	find	VERB
ijassa-1217	87	42	a	a	DET
ijassa-1217	87	43	solution	solution	NOUN
ijassa-1217	87	44	of	of	ADP
ijassa-1217	87	45	the	the	DET
ijassa-1217	87	46	optimization	optimization	NOUN
ijassa-1217	87	47	problem	problem	NOUN
ijassa-1217	87	48	rather	rather	ADV
ijassa-1217	87	49	than	than	ADP
ijassa-1217	87	50	just	just	ADV
ijassa-1217	87	51	any	any	DET
ijassa-1217	87	52	stationary	stationary	ADJ
ijassa-1217	87	53	point	point	NOUN
ijassa-1217	87	54	of	of	ADP
ijassa-1217	87	55	it	it	PRON
ijassa-1217	87	56	.	.	PUNCT
ijassa-1217	88	1	one	one	NUM
ijassa-1217	88	2	typical	typical	ADJ
ijassa-1217	88	3	choice	choice	NOUN
ijassa-1217	88	4	of	of	ADP
ijassa-1217	88	5	an	an	DET
ijassa-1217	88	6	optimization	optimization	NOUN
ijassa-1217	88	7	-	-	PUNCT
ijassa-1217	88	8	related	relate	VERB
ijassa-1217	88	9	merit	merit	NOUN
ijassa-1217	88	10	function	function	NOUN
ijassa-1217	88	11	for	for	ADP
ijassa-1217	88	12	problem	problem	NOUN
ijassa-1217	88	13	(	(	PUNCT
ijassa-1217	88	14	2.8	2.8	NUM
ijassa-1217	88	15	)	)	PUNCT
ijassa-1217	88	16	is	be	AUX
ijassa-1217	88	17	the	the	DET
ijassa-1217	88	18	l1	l1	PROPN
ijassa-1217	88	19	exact	exact	PROPN
ijassa-1217	88	20	penalty	penalty	NOUN
ijassa-1217	88	21	function	function	NOUN
ijassa-1217	88	22	ϕc	ϕc	ADJ
ijassa-1217	88	23	:	:	PUNCT
ijassa-1217	88	24	rn	rn	PROPN
ijassa-1217	88	25	→	→	SYM
ijassa-1217	88	26	r	r	NOUN
ijassa-1217	88	27	,	,	PUNCT
ijassa-1217	88	28	ϕc(x	ϕc(x	NUM
ijassa-1217	88	29	)	)	PUNCT
ijassa-1217	88	30	=	=	SYM
ijassa-1217	88	31	f(x	f(x	PROPN
ijassa-1217	88	32	)	)	PUNCT
ijassa-1217	89	1	+	+	CCONJ
ijassa-1217	89	2	c‖h(x)‖1	c‖h(x)‖1	NOUN
ijassa-1217	89	3	,	,	PUNCT
ijassa-1217	89	4	copyright	copyright	NOUN
ijassa-1217	89	5	©	©	PROPN
ijassa-1217	89	6	2022	2022	NUM
ijassa-1217	89	7	assa	assa	NOUN
ijassa-1217	89	8	.	.	PUNCT
ijassa-1217	90	1	adv	adv	PROPN
ijassa-1217	90	2	syst	syst	PROPN
ijassa-1217	90	3	sci	sci	PROPN
ijassa-1217	90	4	appl	appl	PROPN
ijassa-1217	90	5	(	(	PUNCT
ijassa-1217	90	6	2022	2022	NUM
ijassa-1217	90	7	)	)	PUNCT
ijassa-1217	90	8	accelerating	accelerate	VERB
ijassa-1217	90	9	sequential	sequential	ADJ
ijassa-1217	90	10	quadratic	quadratic	ADJ
ijassa-1217	90	11	programming	programming	NOUN
ijassa-1217	90	12	for	for	ADP
ijassa-1217	90	13	inequality	inequality	NOUN
ijassa-1217	90	14	-	-	PUNCT
ijassa-1217	90	15	constrained	constrain	VERB
ijassa-1217	90	16	77	77	NUM
ijassa-1217	90	17	where	where	SCONJ
ijassa-1217	90	18	c	c	AUX
ijassa-1217	90	19	>	>	X
ijassa-1217	90	20	0	0	PUNCT
ijassa-1217	90	21	is	be	AUX
ijassa-1217	90	22	a	a	DET
ijassa-1217	90	23	penalty	penalty	NOUN
ijassa-1217	90	24	parameter	parameter	NOUN
ijassa-1217	90	25	;	;	PUNCT
ijassa-1217	90	26	see	see	VERB
ijassa-1217	90	27	[	[	X
ijassa-1217	90	28	1	1	NUM
ijassa-1217	90	29	,	,	PUNCT
ijassa-1217	90	30	section	section	NOUN
ijassa-1217	90	31	17	17	NUM
ijassa-1217	90	32	]	]	PUNCT
ijassa-1217	90	33	,	,	PUNCT
ijassa-1217	91	1	[	[	X
ijassa-1217	91	2	23	23	NUM
ijassa-1217	91	3	,	,	PUNCT
ijassa-1217	91	4	section	section	NOUN
ijassa-1217	91	5	18.4	18.4	NUM
ijassa-1217	91	6	]	]	PUNCT
ijassa-1217	91	7	,	,	PUNCT
ijassa-1217	91	8	[	[	X
ijassa-1217	91	9	18	18	NUM
ijassa-1217	91	10	,	,	PUNCT
ijassa-1217	91	11	section	section	NOUN
ijassa-1217	91	12	6.2	6.2	NUM
ijassa-1217	91	13	]	]	PUNCT
ijassa-1217	91	14	.	.	PUNCT
ijassa-1217	92	1	observe	observe	VERB
ijassa-1217	92	2	,	,	PUNCT
ijassa-1217	92	3	however	however	ADV
ijassa-1217	92	4	,	,	PUNCT
ijassa-1217	92	5	that	that	SCONJ
ijassa-1217	92	6	after	after	ADP
ijassa-1217	92	7	this	this	DET
ijassa-1217	92	8	change	change	NOUN
ijassa-1217	92	9	of	of	ADP
ijassa-1217	92	10	the	the	DET
ijassa-1217	92	11	merit	merit	NOUN
ijassa-1217	92	12	function	function	NOUN
ijassa-1217	92	13	,	,	PUNCT
ijassa-1217	92	14	theorem	theorem	VERB
ijassa-1217	92	15	2.2	2.2	NUM
ijassa-1217	92	16	is	be	AUX
ijassa-1217	92	17	no	no	PRON
ijassa-1217	92	18	more	more	ADV
ijassa-1217	92	19	applicable	applicable	ADJ
ijassa-1217	92	20	,	,	PUNCT
ijassa-1217	92	21	and	and	CCONJ
ijassa-1217	92	22	the	the	DET
ijassa-1217	92	23	issue	issue	NOUN
ijassa-1217	92	24	of	of	ADP
ijassa-1217	92	25	asymptotically	asymptotically	ADV
ijassa-1217	92	26	accepting	accept	VERB
ijassa-1217	92	27	the	the	DET
ijassa-1217	92	28	unit	unit	NOUN
ijassa-1217	92	29	stepsize	stepsize	NOUN
ijassa-1217	92	30	becomes	become	VERB
ijassa-1217	92	31	even	even	ADV
ijassa-1217	92	32	more	more	ADV
ijassa-1217	92	33	involved	involve	VERB
ijassa-1217	92	34	,	,	PUNCT
ijassa-1217	92	35	in	in	ADP
ijassa-1217	92	36	particular	particular	ADJ
ijassa-1217	92	37	,	,	PUNCT
ijassa-1217	92	38	due	due	ADP
ijassa-1217	92	39	to	to	ADP
ijassa-1217	92	40	inherent	inherent	ADJ
ijassa-1217	92	41	nonsmoothness	nonsmoothness	NOUN
ijassa-1217	92	42	of	of	ADP
ijassa-1217	92	43	ϕc	ϕc	NOUN
ijassa-1217	92	44	,	,	PUNCT
ijassa-1217	92	45	and	and	CCONJ
ijassa-1217	92	46	to	to	ADP
ijassa-1217	92	47	the	the	DET
ijassa-1217	92	48	presence	presence	NOUN
ijassa-1217	92	49	of	of	ADP
ijassa-1217	92	50	a	a	DET
ijassa-1217	92	51	penalty	penalty	NOUN
ijassa-1217	92	52	parameter	parameter	NOUN
ijassa-1217	92	53	c.	c.	PROPN
ijassa-1217	92	54	another	another	DET
ijassa-1217	92	55	source	source	NOUN
ijassa-1217	92	56	of	of	ADP
ijassa-1217	92	57	complications	complication	NOUN
ijassa-1217	92	58	is	be	AUX
ijassa-1217	92	59	that	that	SCONJ
ijassa-1217	92	60	the	the	DET
ijassa-1217	92	61	primal	primal	ADJ
ijassa-1217	92	62	part	part	NOUN
ijassa-1217	92	63	ξk	ξk	ADP
ijassa-1217	92	64	of	of	ADP
ijassa-1217	92	65	the	the	DET
ijassa-1217	92	66	nm	nm	ADJ
ijassa-1217	92	67	step	step	NOUN
ijassa-1217	92	68	vk	vk	VERB
ijassa-1217	92	69	=	=	SYM
ijassa-1217	92	70	(	(	PUNCT
ijassa-1217	92	71	ξk	ξk	PROPN
ijassa-1217	92	72	,	,	PUNCT
ijassa-1217	92	73	ηk	ηk	PROPN
ijassa-1217	92	74	)	)	PUNCT
ijassa-1217	92	75	computed	compute	VERB
ijassa-1217	92	76	at	at	ADP
ijassa-1217	92	77	the	the	DET
ijassa-1217	92	78	current	current	ADJ
ijassa-1217	92	79	iterate	iterate	NOUN
ijassa-1217	92	80	uk	uk	PROPN
ijassa-1217	92	81	=	=	SYM
ijassa-1217	92	82	(	(	PUNCT
ijassa-1217	92	83	xk	xk	PROPN
ijassa-1217	92	84	,	,	PUNCT
ijassa-1217	92	85	λk	λk	PROPN
ijassa-1217	92	86	)	)	PUNCT
ijassa-1217	92	87	can	can	AUX
ijassa-1217	92	88	be	be	AUX
ijassa-1217	92	89	guaranteed	guarantee	VERB
ijassa-1217	92	90	to	to	PART
ijassa-1217	92	91	be	be	AUX
ijassa-1217	92	92	a	a	DET
ijassa-1217	92	93	direction	direction	NOUN
ijassa-1217	92	94	of	of	ADP
ijassa-1217	92	95	descent	descent	NOUN
ijassa-1217	92	96	for	for	ADP
ijassa-1217	92	97	ϕc	ϕc	PROPN
ijassa-1217	92	98	(	(	PUNCT
ijassa-1217	92	99	with	with	ADP
ijassa-1217	92	100	an	an	DET
ijassa-1217	92	101	appropriate	appropriate	ADJ
ijassa-1217	92	102	choice	choice	NOUN
ijassa-1217	92	103	of	of	ADP
ijassa-1217	92	104	c	c	NOUN
ijassa-1217	92	105	)	)	PUNCT
ijassa-1217	92	106	at	at	ADP
ijassa-1217	92	107	uk	uk	PROPN
ijassa-1217	92	108	only	only	ADV
ijassa-1217	92	109	provided	provide	VERB
ijassa-1217	92	110	the	the	DET
ijassa-1217	92	111	hessian	hessian	NOUN
ijassa-1217	92	112	of	of	ADP
ijassa-1217	92	113	the	the	DET
ijassa-1217	92	114	lagrangian	lagrangian	ADJ
ijassa-1217	92	115	hk	hk	PROPN
ijassa-1217	93	1	=	=	PROPN
ijassa-1217	93	2	∂2l	∂2l	PROPN
ijassa-1217	93	3	∂x2	∂x2	PROPN
ijassa-1217	93	4	(	(	PUNCT
ijassa-1217	93	5	xk	xk	PROPN
ijassa-1217	93	6	,	,	PUNCT
ijassa-1217	93	7	λk	λk	PROPN
ijassa-1217	93	8	)	)	PUNCT
ijassa-1217	93	9	(	(	PUNCT
ijassa-1217	93	10	2.10	2.10	NUM
ijassa-1217	93	11	)	)	PUNCT
ijassa-1217	93	12	is	be	AUX
ijassa-1217	93	13	positive	positive	ADJ
ijassa-1217	93	14	definite	definite	ADJ
ijassa-1217	93	15	,	,	PUNCT
ijassa-1217	93	16	which	which	PRON
ijassa-1217	93	17	is	be	AUX
ijassa-1217	93	18	not	not	PART
ijassa-1217	93	19	at	at	ADV
ijassa-1217	93	20	all	all	ADV
ijassa-1217	93	21	automatic	automatic	ADJ
ijassa-1217	93	22	even	even	ADV
ijassa-1217	93	23	close	close	ADJ
ijassa-1217	93	24	to	to	ADP
ijassa-1217	93	25	a	a	DET
ijassa-1217	93	26	solution	solution	NOUN
ijassa-1217	93	27	/	/	SYM
ijassa-1217	93	28	multiplier	multipli	ADJ
ijassa-1217	93	29	pair	pair	NOUN
ijassa-1217	93	30	satisfying	satisfy	VERB
ijassa-1217	93	31	the	the	DET
ijassa-1217	93	32	second	second	ADJ
ijassa-1217	93	33	-	-	PUNCT
ijassa-1217	93	34	order	order	NOUN
ijassa-1217	93	35	sufficient	sufficient	ADJ
ijassa-1217	93	36	optimality	optimality	NOUN
ijassa-1217	93	37	condition	condition	NOUN
ijassa-1217	93	38	.	.	PUNCT
ijassa-1217	94	1	to	to	ADP
ijassa-1217	94	2	that	that	DET
ijassa-1217	94	3	end	end	NOUN
ijassa-1217	94	4	,	,	PUNCT
ijassa-1217	94	5	the	the	DET
ijassa-1217	94	6	algorithm	algorithm	NOUN
ijassa-1217	94	7	for	for	ADP
ijassa-1217	94	8	problem	problem	NOUN
ijassa-1217	94	9	(	(	PUNCT
ijassa-1217	94	10	2.8	2.8	NUM
ijassa-1217	94	11	)	)	PUNCT
ijassa-1217	94	12	,	,	PUNCT
ijassa-1217	94	13	presented	present	VERB
ijassa-1217	94	14	next	next	ADV
ijassa-1217	94	15	,	,	PUNCT
ijassa-1217	94	16	has	have	AUX
ijassa-1217	94	17	step	step	NOUN
ijassa-1217	94	18	3	3	NUM
ijassa-1217	94	19	,	,	PUNCT
ijassa-1217	94	20	where	where	SCONJ
ijassa-1217	94	21	the	the	DET
ijassa-1217	94	22	sufficient	sufficient	ADJ
ijassa-1217	94	23	descent	descent	NOUN
ijassa-1217	94	24	property	property	NOUN
ijassa-1217	94	25	of	of	ADP
ijassa-1217	94	26	the	the	DET
ijassa-1217	94	27	generated	generate	VERB
ijassa-1217	94	28	primal	primal	ADJ
ijassa-1217	94	29	direction	direction	NOUN
ijassa-1217	94	30	is	be	AUX
ijassa-1217	94	31	verified	verify	VERB
ijassa-1217	94	32	.	.	PUNCT
ijassa-1217	95	1	algorithm	algorithm	PROPN
ijassa-1217	95	2	2.2	2.2	NUM
ijassa-1217	95	3	:	:	PUNCT
ijassa-1217	95	4	fix	fix	VERB
ijassa-1217	95	5	the	the	DET
ijassa-1217	95	6	parameters	parameter	NOUN
ijassa-1217	95	7	c̄	c̄	X
ijassa-1217	95	8	>	>	SYM
ijassa-1217	95	9	0	0	NUM
ijassa-1217	95	10	,	,	PUNCT
ijassa-1217	95	11	c̃	c̃	PROPN
ijassa-1217	95	12	>	>	X
ijassa-1217	95	13	0	0	PROPN
ijassa-1217	95	14	,	,	PUNCT
ijassa-1217	95	15	ρ	ρ	PROPN
ijassa-1217	95	16	>	>	X
ijassa-1217	95	17	0	0	PROPN
ijassa-1217	95	18	and	and	CCONJ
ijassa-1217	95	19	σ	σ	PROPN
ijassa-1217	95	20	,	,	PUNCT
ijassa-1217	95	21	θ	θ	PROPN
ijassa-1217	95	22	∈	∈	PROPN
ijassa-1217	95	23	(	(	PUNCT
ijassa-1217	95	24	0	0	NUM
ijassa-1217	95	25	,	,	PUNCT
ijassa-1217	95	26	1	1	NUM
ijassa-1217	95	27	)	)	PUNCT
ijassa-1217	95	28	.	.	PUNCT
ijassa-1217	96	1	choose	choose	VERB
ijassa-1217	96	2	u0	u0	ADJ
ijassa-1217	96	3	=	=	SYM
ijassa-1217	96	4	(	(	PUNCT
ijassa-1217	96	5	x0	x0	PROPN
ijassa-1217	96	6	,	,	PUNCT
ijassa-1217	96	7	λ0	λ0	NOUN
ijassa-1217	96	8	)	)	PUNCT
ijassa-1217	96	9	∈	∈	PROPN
ijassa-1217	96	10	rn	rn	PROPN
ijassa-1217	96	11	×	×	NOUN
ijassa-1217	96	12	rl	rl	PROPN
ijassa-1217	96	13	,	,	PUNCT
ijassa-1217	96	14	and	and	CCONJ
ijassa-1217	96	15	set	set	VERB
ijassa-1217	96	16	c−1	c−1	PROPN
ijassa-1217	96	17	=	=	SYM
ijassa-1217	96	18	0	0	PROPN
ijassa-1217	96	19	and	and	CCONJ
ijassa-1217	96	20	k	k	X
ijassa-1217	96	21	=	=	SYM
ijassa-1217	96	22	0	0	NUM
ijassa-1217	96	23	.	.	NOUN
ijassa-1217	97	1	1	1	NUM
ijassa-1217	97	2	.	.	X
ijassa-1217	97	3	compute	compute	NOUN
ijassa-1217	97	4	vk	vk	NOUN
ijassa-1217	98	1	=	=	SYM
ijassa-1217	99	1	(	(	PUNCT
ijassa-1217	99	2	ξk	ξk	PROPN
ijassa-1217	99	3	,	,	PUNCT
ijassa-1217	99	4	ηk	ηk	AUX
ijassa-1217	99	5	)	)	PUNCT
ijassa-1217	99	6	solving	solve	VERB
ijassa-1217	99	7	the	the	DET
ijassa-1217	99	8	linear	linear	ADJ
ijassa-1217	99	9	system	system	NOUN
ijassa-1217	99	10	∂l	∂l	PROPN
ijassa-1217	99	11	∂x	∂x	PROPN
ijassa-1217	99	12	(	(	PUNCT
ijassa-1217	99	13	xk	xk	PROPN
ijassa-1217	99	14	,	,	PUNCT
ijassa-1217	99	15	λk	λk	PROPN
ijassa-1217	99	16	)	)	PUNCT
ijassa-1217	100	1	+	+	VERB
ijassa-1217	100	2	hkξ	hkξ	VERB
ijassa-1217	100	3	+	+	CCONJ
ijassa-1217	100	4	(	(	PUNCT
ijassa-1217	100	5	h′(xk))>η	h′(xk))>η	PROPN
ijassa-1217	100	6	=	=	SYM
ijassa-1217	100	7	0	0	NUM
ijassa-1217	100	8	,	,	PUNCT
ijassa-1217	100	9	h(xk	h(xk	ADJ
ijassa-1217	100	10	)	)	PUNCT
ijassa-1217	100	11	+	+	CCONJ
ijassa-1217	100	12	h′(xk)ξ	h′(xk)ξ	ADJ
ijassa-1217	100	13	=	=	SYM
ijassa-1217	100	14	0	0	NUM
ijassa-1217	100	15	,	,	PUNCT
ijassa-1217	100	16	(	(	PUNCT
ijassa-1217	100	17	2.11	2.11	NUM
ijassa-1217	100	18	)	)	PUNCT
ijassa-1217	100	19	with	with	ADP
ijassa-1217	100	20	hk	hk	PROPN
ijassa-1217	100	21	given	give	VERB
ijassa-1217	100	22	by	by	ADP
ijassa-1217	100	23	(	(	PUNCT
ijassa-1217	100	24	2.10	2.10	NUM
ijassa-1217	100	25	)	)	PUNCT
ijassa-1217	100	26	.	.	PUNCT
ijassa-1217	101	1	if	if	SCONJ
ijassa-1217	101	2	(	(	PUNCT
ijassa-1217	101	3	2.11	2.11	NUM
ijassa-1217	101	4	)	)	PUNCT
ijassa-1217	101	5	can	can	AUX
ijassa-1217	101	6	not	not	PART
ijassa-1217	101	7	be	be	AUX
ijassa-1217	101	8	solved	solve	VERB
ijassa-1217	101	9	,	,	PUNCT
ijassa-1217	101	10	stop	stop	VERB
ijassa-1217	101	11	with	with	ADP
ijassa-1217	101	12	failure	failure	NOUN
ijassa-1217	101	13	.	.	PUNCT
ijassa-1217	102	1	2	2	X
ijassa-1217	102	2	.	.	X
ijassa-1217	102	3	set	set	VERB
ijassa-1217	102	4	ck	ck	PROPN
ijassa-1217	103	1	=	=	SYM
ijassa-1217	103	2	max	max	X
ijassa-1217	103	3	{	{	PUNCT
ijassa-1217	103	4	ck−1	ck−1	PROPN
ijassa-1217	103	5	,	,	PUNCT
ijassa-1217	103	6	4(1−	4(1−	X
ijassa-1217	103	7	σ)‖λk	σ)‖λk	X
ijassa-1217	103	8	+	+	CCONJ
ijassa-1217	103	9	ηk‖∞	ηk‖∞	PROPN
ijassa-1217	103	10	+	+	CCONJ
ijassa-1217	103	11	‖λk‖∞	‖λk‖∞	NUM
ijassa-1217	103	12	3−	3−	NUM
ijassa-1217	103	13	4σ	4σ	NUM
ijassa-1217	103	14	+	+	CCONJ
ijassa-1217	103	15	c̄	c̄	ADJ
ijassa-1217	103	16	}	}	PUNCT
ijassa-1217	103	17	.	.	PUNCT
ijassa-1217	104	1	(	(	PUNCT
ijassa-1217	104	2	2.12	2.12	NUM
ijassa-1217	104	3	)	)	PUNCT
ijassa-1217	104	4	if	if	SCONJ
ijassa-1217	104	5	maximum	maximum	ADJ
ijassa-1217	104	6	in	in	ADP
ijassa-1217	104	7	(	(	PUNCT
ijassa-1217	104	8	2.12	2.12	NUM
ijassa-1217	104	9	)	)	PUNCT
ijassa-1217	104	10	is	be	AUX
ijassa-1217	104	11	attained	attain	VERB
ijassa-1217	104	12	at	at	ADP
ijassa-1217	104	13	the	the	DET
ijassa-1217	104	14	second	second	ADJ
ijassa-1217	104	15	argument	argument	NOUN
ijassa-1217	104	16	,	,	PUNCT
ijassa-1217	104	17	replace	replace	VERB
ijassa-1217	104	18	ck	ck	INTJ
ijassa-1217	104	19	by	by	ADP
ijassa-1217	104	20	ck	ck	PROPN
ijassa-1217	105	1	+	+	CCONJ
ijassa-1217	105	2	c̃.	c̃.	PROPN
ijassa-1217	105	3	3	3	NUM
ijassa-1217	105	4	.	.	PUNCT
ijassa-1217	106	1	if	if	SCONJ
ijassa-1217	106	2	the	the	DET
ijassa-1217	106	3	inequality	inequality	NOUN
ijassa-1217	106	4	ϕ′ck(xk	ϕ′ck(xk	NUM
ijassa-1217	106	5	;	;	PUNCT
ijassa-1217	106	6	ξk	ξk	X
ijassa-1217	106	7	)	)	PUNCT
ijassa-1217	106	8	≤	≤	NOUN
ijassa-1217	106	9	−ρ‖ξk‖2	−ρ‖ξk‖2	PROPN
ijassa-1217	106	10	(	(	PUNCT
ijassa-1217	106	11	2.13	2.13	NUM
ijassa-1217	106	12	)	)	PUNCT
ijassa-1217	106	13	is	be	AUX
ijassa-1217	106	14	violated	violate	VERB
ijassa-1217	106	15	,	,	PUNCT
ijassa-1217	106	16	stop	stop	VERB
ijassa-1217	106	17	with	with	ADP
ijassa-1217	106	18	failure	failure	NOUN
ijassa-1217	106	19	.	.	PUNCT
ijassa-1217	107	1	4	4	X
ijassa-1217	107	2	.	.	X
ijassa-1217	107	3	set	set	VERB
ijassa-1217	107	4	α	α	NOUN
ijassa-1217	107	5	=	=	SYM
ijassa-1217	107	6	1	1	X
ijassa-1217	107	7	.	.	PUNCT
ijassa-1217	108	1	if	if	SCONJ
ijassa-1217	108	2	the	the	DET
ijassa-1217	108	3	inequality	inequality	NOUN
ijassa-1217	108	4	ϕck(xk	ϕck(xk	VERB
ijassa-1217	108	5	+	+	CCONJ
ijassa-1217	108	6	αξk	αξk	NOUN
ijassa-1217	108	7	)	)	PUNCT
ijassa-1217	108	8	≤	≤	NUM
ijassa-1217	108	9	ϕck(xk	ϕck(xk	NOUN
ijassa-1217	108	10	)	)	PUNCT
ijassa-1217	108	11	+	+	CCONJ
ijassa-1217	108	12	σαϕ′ck(xk	σαϕ′ck(xk	NUM
ijassa-1217	108	13	;	;	PUNCT
ijassa-1217	108	14	ξk	ξk	X
ijassa-1217	108	15	)	)	PUNCT
ijassa-1217	108	16	(	(	PUNCT
ijassa-1217	108	17	2.14	2.14	NUM
ijassa-1217	108	18	)	)	PUNCT
ijassa-1217	108	19	holds	hold	NOUN
ijassa-1217	108	20	,	,	PUNCT
ijassa-1217	108	21	set	set	VERB
ijassa-1217	108	22	αk	αk	NOUN
ijassa-1217	108	23	=	=	SYM
ijassa-1217	108	24	α	α	PROPN
ijassa-1217	108	25	and	and	CCONJ
ijassa-1217	108	26	go	go	VERB
ijassa-1217	108	27	to	to	PART
ijassa-1217	108	28	step	step	VERB
ijassa-1217	108	29	5	5	NUM
ijassa-1217	108	30	.	.	PUNCT
ijassa-1217	109	1	otherwise	otherwise	ADV
ijassa-1217	109	2	,	,	PUNCT
ijassa-1217	109	3	keep	keep	VERB
ijassa-1217	109	4	replacing	replace	VERB
ijassa-1217	109	5	α	α	NOUN
ijassa-1217	109	6	by	by	ADP
ijassa-1217	109	7	θα	θα	NOUN
ijassa-1217	109	8	until	until	ADP
ijassa-1217	109	9	(	(	PUNCT
ijassa-1217	109	10	2.14	2.14	NUM
ijassa-1217	109	11	)	)	PUNCT
ijassa-1217	109	12	is	be	AUX
ijassa-1217	109	13	satisfied	satisfied	ADJ
ijassa-1217	109	14	.	.	PUNCT
ijassa-1217	110	1	5	5	X
ijassa-1217	110	2	.	.	X
ijassa-1217	110	3	define	define	VERB
ijassa-1217	110	4	uk+1	uk+1	NOUN
ijassa-1217	110	5	=	=	SYM
ijassa-1217	110	6	(	(	PUNCT
ijassa-1217	110	7	xk+1	xk+1	PROPN
ijassa-1217	110	8	,	,	PUNCT
ijassa-1217	110	9	λk+1	λk+1	X
ijassa-1217	110	10	)	)	PUNCT
ijassa-1217	110	11	as	as	ADP
ijassa-1217	110	12	uk+1	uk+1	ADP
ijassa-1217	110	13	=	=	SYM
ijassa-1217	110	14	uk	uk	PROPN
ijassa-1217	110	15	+	+	CCONJ
ijassa-1217	110	16	αkv	αkv	PROPN
ijassa-1217	110	17	k	k	NOUN
ijassa-1217	110	18	,	,	PUNCT
ijassa-1217	110	19	increase	increase	VERB
ijassa-1217	110	20	k	k	NOUN
ijassa-1217	110	21	by	by	ADP
ijassa-1217	110	22	1	1	NUM
ijassa-1217	110	23	,	,	PUNCT
ijassa-1217	110	24	and	and	CCONJ
ijassa-1217	110	25	go	go	VERB
ijassa-1217	110	26	to	to	PART
ijassa-1217	110	27	step	step	VERB
ijassa-1217	110	28	1	1	NUM
ijassa-1217	110	29	.	.	PUNCT
ijassa-1217	111	1	observe	observe	VERB
ijassa-1217	111	2	that	that	SCONJ
ijassa-1217	111	3	(	(	PUNCT
ijassa-1217	111	4	2.11	2.11	NUM
ijassa-1217	111	5	)	)	PUNCT
ijassa-1217	111	6	with	with	ADP
ijassa-1217	111	7	hk	hk	PROPN
ijassa-1217	111	8	given	give	VERB
ijassa-1217	111	9	by	by	ADP
ijassa-1217	111	10	(	(	PUNCT
ijassa-1217	111	11	2.10	2.10	NUM
ijassa-1217	111	12	)	)	PUNCT
ijassa-1217	111	13	is	be	AUX
ijassa-1217	111	14	nothing	nothing	PRON
ijassa-1217	111	15	else	else	ADV
ijassa-1217	111	16	but	but	CCONJ
ijassa-1217	111	17	the	the	DET
ijassa-1217	111	18	nm	nm	ADJ
ijassa-1217	111	19	equation	equation	NOUN
ijassa-1217	111	20	(	(	PUNCT
ijassa-1217	111	21	2.4	2.4	NUM
ijassa-1217	111	22	)	)	PUNCT
ijassa-1217	111	23	with	with	ADP
ijassa-1217	111	24	v	v	NOUN
ijassa-1217	111	25	=	=	SYM
ijassa-1217	111	26	(	(	PUNCT
ijassa-1217	111	27	ξ	ξ	PROPN
ijassa-1217	111	28	,	,	PUNCT
ijassa-1217	111	29	η	η	NOUN
ijassa-1217	111	30	)	)	PUNCT
ijassa-1217	111	31	,	,	PUNCT
ijassa-1217	111	32	for	for	ADP
ijassa-1217	111	33	φ	φ	NUM
ijassa-1217	111	34	defined	define	VERB
ijassa-1217	111	35	in	in	ADP
ijassa-1217	111	36	(	(	PUNCT
ijassa-1217	111	37	2.9	2.9	NUM
ijassa-1217	111	38	)	)	PUNCT
ijassa-1217	111	39	.	.	PUNCT
ijassa-1217	112	1	on	on	ADP
ijassa-1217	112	2	the	the	DET
ijassa-1217	112	3	other	other	ADJ
ijassa-1217	112	4	hand	hand	NOUN
ijassa-1217	112	5	,	,	PUNCT
ijassa-1217	112	6	this	this	DET
ijassa-1217	112	7	method	method	NOUN
ijassa-1217	112	8	can	can	AUX
ijassa-1217	112	9	be	be	AUX
ijassa-1217	112	10	seen	see	VERB
ijassa-1217	112	11	as	as	ADP
ijassa-1217	112	12	the	the	DET
ijassa-1217	112	13	sqp	sqp	PROPN
ijassa-1217	112	14	algorithm	algorithm	PROPN
ijassa-1217	112	15	,	,	PUNCT
ijassa-1217	112	16	since	since	SCONJ
ijassa-1217	112	17	(	(	PUNCT
ijassa-1217	112	18	2.11	2.11	NUM
ijassa-1217	112	19	)	)	PUNCT
ijassa-1217	112	20	is	be	AUX
ijassa-1217	112	21	the	the	DET
ijassa-1217	112	22	lagrange	lagrange	NOUN
ijassa-1217	112	23	optimality	optimality	NOUN
ijassa-1217	112	24	system	system	NOUN
ijassa-1217	112	25	for	for	ADP
ijassa-1217	112	26	the	the	DET
ijassa-1217	112	27	equality	equality	NOUN
ijassa-1217	112	28	-	-	PUNCT
ijassa-1217	112	29	constrained	constrain	VERB
ijassa-1217	112	30	quadratic	quadratic	ADJ
ijassa-1217	112	31	programming	programming	NOUN
ijassa-1217	112	32	subproblem	subproblem	NOUN
ijassa-1217	112	33	minimize	minimize	VERB
ijassa-1217	112	34	〈	〈	PROPN
ijassa-1217	112	35	f	f	PROPN
ijassa-1217	112	36	′(xk	′(xk	PROPN
ijassa-1217	112	37	)	)	PUNCT
ijassa-1217	112	38	,	,	PUNCT
ijassa-1217	112	39	ξ〉+	ξ〉+	PROPN
ijassa-1217	112	40	1	1	NUM
ijassa-1217	112	41	2	2	NUM
ijassa-1217	112	42	〈	〈	PROPN
ijassa-1217	112	43	hkξ	hkξ	PROPN
ijassa-1217	112	44	,	,	PUNCT
ijassa-1217	112	45	ξ	ξ	PROPN
ijassa-1217	112	46	〉	〉	NUM
ijassa-1217	112	47	subject	subject	NOUN
ijassa-1217	112	48	to	to	ADP
ijassa-1217	112	49	h(xk	h(xk	NOUN
ijassa-1217	112	50	)	)	PUNCT
ijassa-1217	112	51	+	+	CCONJ
ijassa-1217	112	52	h′(xk)ξ	h′(xk)ξ	ADJ
ijassa-1217	112	53	=	=	SYM
ijassa-1217	112	54	0	0	NUM
ijassa-1217	112	55	;	;	PUNCT
ijassa-1217	112	56	(	(	PUNCT
ijassa-1217	112	57	2.15	2.15	NUM
ijassa-1217	112	58	)	)	PUNCT
ijassa-1217	112	59	for	for	ADP
ijassa-1217	112	60	details	detail	NOUN
ijassa-1217	112	61	see	see	VERB
ijassa-1217	112	62	,	,	PUNCT
ijassa-1217	112	63	e.g.	e.g.	ADV
ijassa-1217	112	64	,	,	PUNCT
ijassa-1217	112	65	[	[	X
ijassa-1217	112	66	18	18	NUM
ijassa-1217	112	67	,	,	PUNCT
ijassa-1217	112	68	section	section	NOUN
ijassa-1217	112	69	4.2	4.2	NUM
ijassa-1217	112	70	]	]	PUNCT
ijassa-1217	112	71	.	.	PUNCT
ijassa-1217	113	1	asymptotic	asymptotic	ADJ
ijassa-1217	113	2	acceptance	acceptance	NOUN
ijassa-1217	113	3	of	of	ADP
ijassa-1217	113	4	the	the	DET
ijassa-1217	113	5	true	true	ADJ
ijassa-1217	113	6	hessian	hessian	NOUN
ijassa-1217	113	7	and	and	CCONJ
ijassa-1217	113	8	unit	unit	NOUN
ijassa-1217	113	9	stepsize	stepsize	NOUN
ijassa-1217	113	10	by	by	ADP
ijassa-1217	113	11	algorithm	algorithm	PROPN
ijassa-1217	113	12	2.2	2.2	NUM
ijassa-1217	113	13	has	have	AUX
ijassa-1217	113	14	been	be	AUX
ijassa-1217	113	15	investigated	investigate	VERB
ijassa-1217	113	16	very	very	ADV
ijassa-1217	113	17	recently	recently	ADV
ijassa-1217	113	18	in	in	ADP
ijassa-1217	113	19	[	[	X
ijassa-1217	113	20	10	10	NUM
ijassa-1217	113	21	]	]	PUNCT
ijassa-1217	113	22	.	.	PUNCT
ijassa-1217	114	1	in	in	ADP
ijassa-1217	114	2	order	order	NOUN
ijassa-1217	114	3	to	to	PART
ijassa-1217	114	4	present	present	VERB
ijassa-1217	114	5	the	the	DET
ijassa-1217	114	6	main	main	ADJ
ijassa-1217	114	7	result	result	NOUN
ijassa-1217	114	8	of	of	ADP
ijassa-1217	114	9	that	that	DET
ijassa-1217	114	10	work	work	NOUN
ijassa-1217	114	11	,	,	PUNCT
ijassa-1217	114	12	some	some	PRON
ijassa-1217	114	13	more	more	ADJ
ijassa-1217	114	14	terminology	terminology	NOUN
ijassa-1217	114	15	will	will	AUX
ijassa-1217	114	16	be	be	AUX
ijassa-1217	114	17	needed	need	VERB
ijassa-1217	114	18	.	.	PUNCT
ijassa-1217	115	1	according	accord	VERB
ijassa-1217	115	2	to	to	ADP
ijassa-1217	115	3	[	[	X
ijassa-1217	115	4	11	11	NUM
ijassa-1217	115	5	,	,	PUNCT
ijassa-1217	115	6	proposition	proposition	NOUN
ijassa-1217	115	7	1	1	NUM
ijassa-1217	115	8	]	]	PUNCT
ijassa-1217	115	9	and	and	CCONJ
ijassa-1217	115	10	[	[	X
ijassa-1217	115	11	12	12	NUM
ijassa-1217	115	12	,	,	PUNCT
ijassa-1217	115	13	proposition	proposition	NOUN
ijassa-1217	115	14	2	2	NUM
ijassa-1217	115	15	]	]	PUNCT
ijassa-1217	115	16	,	,	PUNCT
ijassa-1217	115	17	the	the	DET
ijassa-1217	115	18	copyright	copyright	NOUN
ijassa-1217	115	19	©	©	PROPN
ijassa-1217	115	20	2022	2022	NUM
ijassa-1217	115	21	assa	assa	NOUN
ijassa-1217	115	22	.	.	PUNCT
ijassa-1217	116	1	adv	adv	PROPN
ijassa-1217	116	2	syst	syst	PROPN
ijassa-1217	116	3	sci	sci	PROPN
ijassa-1217	116	4	appl	appl	PROPN
ijassa-1217	116	5	(	(	PUNCT
ijassa-1217	116	6	2022	2022	NUM
ijassa-1217	116	7	)	)	PUNCT
ijassa-1217	116	8	78	78	NUM
ijassa-1217	116	9	a.	a.	NOUN
ijassa-1217	116	10	f.	f.	PROPN
ijassa-1217	116	11	izmailov	izmailov	PROPN
ijassa-1217	116	12	,	,	PUNCT
ijassa-1217	116	13	i.	i.	PROPN
ijassa-1217	116	14	s.	s.	PROPN
ijassa-1217	116	15	rodin	rodin	PROPN
ijassa-1217	116	16	assumptions	assumption	NOUN
ijassa-1217	116	17	of	of	ADP
ijassa-1217	116	18	theorem	theorem	NOUN
ijassa-1217	116	19	2.1	2.1	NUM
ijassa-1217	116	20	for	for	ADP
ijassa-1217	116	21	φ	φ	NUM
ijassa-1217	116	22	defined	define	VERB
ijassa-1217	116	23	in	in	ADP
ijassa-1217	116	24	(	(	PUNCT
ijassa-1217	116	25	2.9	2.9	NUM
ijassa-1217	116	26	)	)	PUNCT
ijassa-1217	116	27	may	may	AUX
ijassa-1217	116	28	hold	hold	VERB
ijassa-1217	116	29	at	at	ADP
ijassa-1217	116	30	ū	ū	NOUN
ijassa-1217	116	31	=	=	SYM
ijassa-1217	116	32	(	(	PUNCT
ijassa-1217	116	33	x̄	x̄	NOUN
ijassa-1217	116	34	,	,	PUNCT
ijassa-1217	116	35	λ̄	λ̄	ADJ
ijassa-1217	116	36	)	)	PUNCT
ijassa-1217	116	37	only	only	ADV
ijassa-1217	116	38	if	if	SCONJ
ijassa-1217	116	39	λ̄	λ̄	PRON
ijassa-1217	116	40	is	be	AUX
ijassa-1217	116	41	a	a	DET
ijassa-1217	116	42	critical	critical	ADJ
ijassa-1217	116	43	lagrange	lagrange	NOUN
ijassa-1217	116	44	multiplier	multiplier	ADV
ijassa-1217	116	45	associated	associate	VERB
ijassa-1217	116	46	with	with	ADP
ijassa-1217	116	47	a	a	DET
ijassa-1217	116	48	stationary	stationary	ADJ
ijassa-1217	116	49	point	point	NOUN
ijassa-1217	116	50	x̄	x̄	NOUN
ijassa-1217	116	51	of	of	ADP
ijassa-1217	116	52	problem	problem	NOUN
ijassa-1217	116	53	(	(	PUNCT
ijassa-1217	116	54	2.8	2.8	NUM
ijassa-1217	116	55	)	)	PUNCT
ijassa-1217	116	56	.	.	PUNCT
ijassa-1217	117	1	criticality	criticality	NOUN
ijassa-1217	117	2	of	of	ADP
ijassa-1217	117	3	λ̄	λ̄	PRON
ijassa-1217	117	4	means	mean	VERB
ijassa-1217	117	5	that	that	SCONJ
ijassa-1217	117	6	the	the	DET
ijassa-1217	117	7	linear	linear	ADJ
ijassa-1217	117	8	subspace	subspace	NOUN
ijassa-1217	117	9	q(x̄	q(x̄	PRON
ijassa-1217	117	10	,	,	PUNCT
ijassa-1217	117	11	λ̄	λ̄	ADJ
ijassa-1217	117	12	)	)	PUNCT
ijassa-1217	117	13	=	=	PRON
ijassa-1217	117	14	{	{	PUNCT
ijassa-1217	117	15	ξ	ξ	X
ijassa-1217	117	16	∈	∈	PROPN
ijassa-1217	117	17	kerh′(x̄	kerh′(x̄	NOUN
ijassa-1217	117	18	)	)	PUNCT
ijassa-1217	117	19	∣∣∣∣	∣∣∣∣	NOUN
ijassa-1217	117	20	∂2l	∂2l	NOUN
ijassa-1217	117	21	∂x2	∂x2	PROPN
ijassa-1217	117	22	(	(	PUNCT
ijassa-1217	117	23	x̄	x̄	PROPN
ijassa-1217	117	24	,	,	PUNCT
ijassa-1217	117	25	λ̄)ξ	λ̄)ξ	PROPN
ijassa-1217	117	26	∈	∈	PROPN
ijassa-1217	117	27	im(h′(x̄	im(h′(x̄	PRON
ijassa-1217	117	28	)	)	PUNCT
ijassa-1217	117	29	)	)	PUNCT
ijassa-1217	117	30	>	>	PUNCT
ijassa-1217	117	31	}	}	PUNCT
ijassa-1217	117	32	(	(	PUNCT
ijassa-1217	117	33	2.16	2.16	NUM
ijassa-1217	117	34	)	)	PUNCT
ijassa-1217	117	35	is	be	AUX
ijassa-1217	117	36	nontrivial	nontrivial	ADJ
ijassa-1217	117	37	;	;	PUNCT
ijassa-1217	117	38	see	see	VERB
ijassa-1217	117	39	[	[	X
ijassa-1217	117	40	18	18	NUM
ijassa-1217	117	41	,	,	PUNCT
ijassa-1217	117	42	definition	definition	NOUN
ijassa-1217	117	43	1.41	1.41	NUM
ijassa-1217	117	44	]	]	PUNCT
ijassa-1217	117	45	.	.	PUNCT
ijassa-1217	118	1	in	in	ADP
ijassa-1217	118	2	particular	particular	ADJ
ijassa-1217	118	3	,	,	PUNCT
ijassa-1217	118	4	the	the	DET
ijassa-1217	118	5	assumptions	assumption	NOUN
ijassa-1217	118	6	of	of	ADP
ijassa-1217	118	7	theorem	theorem	ADJ
ijassa-1217	118	8	2.1	2.1	NUM
ijassa-1217	118	9	do	do	AUX
ijassa-1217	118	10	hold	hold	VERB
ijassa-1217	118	11	under	under	ADP
ijassa-1217	118	12	the	the	DET
ijassa-1217	118	13	following	follow	VERB
ijassa-1217	118	14	requirements	requirement	NOUN
ijassa-1217	118	15	:	:	PUNCT
ijassa-1217	118	16	•	•	ADP
ijassa-1217	118	17	the	the	DET
ijassa-1217	118	18	multiplier	multipli	ADJ
ijassa-1217	118	19	µ̄	µ̄	PROPN
ijassa-1217	118	20	is	be	AUX
ijassa-1217	118	21	critical	critical	ADJ
ijassa-1217	118	22	of	of	ADP
ijassa-1217	118	23	order	order	NOUN
ijassa-1217	118	24	1	1	NUM
ijassa-1217	118	25	,	,	PUNCT
ijassa-1217	118	26	which	which	PRON
ijassa-1217	118	27	means	mean	VERB
ijassa-1217	118	28	that	that	SCONJ
ijassa-1217	118	29	dimq(x̄	dimq(x̄	PRON
ijassa-1217	118	30	,	,	PUNCT
ijassa-1217	118	31	λ̄	λ̄	PUNCT
ijassa-1217	118	32	)	)	PUNCT
ijassa-1217	118	33	=	=	SYM
ijassa-1217	118	34	1	1	NUM
ijassa-1217	118	35	,	,	PUNCT
ijassa-1217	118	36	or	or	CCONJ
ijassa-1217	118	37	,	,	PUNCT
ijassa-1217	118	38	in	in	ADP
ijassa-1217	118	39	other	other	ADJ
ijassa-1217	118	40	terms	term	NOUN
ijassa-1217	118	41	,	,	PUNCT
ijassa-1217	118	42	q(x̄	q(x̄	X
ijassa-1217	118	43	,	,	PUNCT
ijassa-1217	118	44	λ̄	λ̄	ADJ
ijassa-1217	118	45	)	)	PUNCT
ijassa-1217	118	46	=	=	SYM
ijassa-1217	118	47	span{ξ̄	span{ξ̄	PROPN
ijassa-1217	118	48	}	}	PUNCT
ijassa-1217	118	49	(	(	PUNCT
ijassa-1217	118	50	2.17	2.17	NUM
ijassa-1217	118	51	)	)	PUNCT
ijassa-1217	118	52	with	with	ADP
ijassa-1217	118	53	some	some	DET
ijassa-1217	118	54	ξ̄	ξ̄	ADJ
ijassa-1217	118	55	∈	∈	PROPN
ijassa-1217	118	56	rn	rn	NOUN
ijassa-1217	118	57	\	\	PROPN
ijassa-1217	118	58	{	{	PUNCT
ijassa-1217	118	59	0	0	NUM
ijassa-1217	118	60	}	}	PUNCT
ijassa-1217	118	61	.	.	PUNCT
ijassa-1217	119	1	•	•	INTJ
ijassa-1217	119	2	it	it	PRON
ijassa-1217	119	3	holds	hold	VERB
ijassa-1217	119	4	that	that	SCONJ
ijassa-1217	119	5	rankh′(x̄	rankh′(x̄	VERB
ijassa-1217	119	6	)	)	PUNCT
ijassa-1217	119	7	=	=	PUNCT
ijassa-1217	120	1	l	l	NOUN
ijassa-1217	120	2	−	−	NOUN
ijassa-1217	120	3	1	1	NUM
ijassa-1217	120	4	(	(	PUNCT
ijassa-1217	120	5	2.18	2.18	NUM
ijassa-1217	120	6	)	)	PUNCT
ijassa-1217	120	7	and	and	CCONJ
ijassa-1217	120	8	h′′(x̄)[ξ̄	h′′(x̄)[ξ̄	ADJ
ijassa-1217	120	9	,	,	PUNCT
ijassa-1217	120	10	ξ̄	ξ̄	ADJ
ijassa-1217	120	11	]	]	X
ijassa-1217	120	12	6∈	6∈	PROPN
ijassa-1217	120	13	imh′(x̄	imh′(x̄	NOUN
ijassa-1217	120	14	)	)	PUNCT
ijassa-1217	120	15	.	.	PUNCT
ijassa-1217	121	1	(	(	PUNCT
ijassa-1217	121	2	2.19	2.19	NUM
ijassa-1217	121	3	)	)	PUNCT
ijassa-1217	121	4	the	the	DET
ijassa-1217	121	5	following	follow	VERB
ijassa-1217	121	6	counterpart	counterpart	NOUN
ijassa-1217	121	7	of	of	ADP
ijassa-1217	121	8	theorem	theorem	NOUN
ijassa-1217	121	9	2.2	2.2	NUM
ijassa-1217	121	10	for	for	ADP
ijassa-1217	121	11	equality	equality	NOUN
ijassa-1217	121	12	-	-	PUNCT
ijassa-1217	121	13	constrained	constrain	VERB
ijassa-1217	121	14	optimization	optimization	NOUN
ijassa-1217	121	15	problems	problem	NOUN
ijassa-1217	121	16	appears	appear	VERB
ijassa-1217	121	17	in	in	ADP
ijassa-1217	121	18	[	[	X
ijassa-1217	121	19	10	10	NUM
ijassa-1217	121	20	,	,	PUNCT
ijassa-1217	121	21	theorem	theorem	VERB
ijassa-1217	121	22	3.1	3.1	NUM
ijassa-1217	121	23	]	]	PUNCT
ijassa-1217	121	24	.	.	PUNCT
ijassa-1217	122	1	theorem	theorem	VERB
ijassa-1217	122	2	2.3	2.3	NUM
ijassa-1217	122	3	:	:	PUNCT
ijassa-1217	122	4	let	let	VERB
ijassa-1217	122	5	f	f	PROPN
ijassa-1217	122	6	:	:	PUNCT
ijassa-1217	122	7	rn	rn	PROPN
ijassa-1217	122	8	→	→	SYM
ijassa-1217	122	9	r	r	NOUN
ijassa-1217	122	10	and	and	CCONJ
ijassa-1217	122	11	h	h	NOUN
ijassa-1217	122	12	:	:	PUNCT
ijassa-1217	122	13	rn	rn	PROPN
ijassa-1217	122	14	→	→	SYM
ijassa-1217	122	15	rl	rl	X
ijassa-1217	122	16	be	be	AUX
ijassa-1217	122	17	three	three	NUM
ijassa-1217	122	18	times	time	NOUN
ijassa-1217	122	19	differentiable	differentiable	ADJ
ijassa-1217	122	20	near	near	ADP
ijassa-1217	122	21	x̄	x̄	PROPN
ijassa-1217	122	22	∈	∈	PROPN
ijassa-1217	122	23	rn	rn	PROPN
ijassa-1217	122	24	,	,	PUNCT
ijassa-1217	122	25	with	with	ADP
ijassa-1217	122	26	their	their	PRON
ijassa-1217	122	27	third	third	ADJ
ijassa-1217	122	28	derivatives	derivative	NOUN
ijassa-1217	122	29	lipschitz	lipschitz	NOUN
ijassa-1217	122	30	-	-	PUNCT
ijassa-1217	122	31	continuous	continuous	ADJ
ijassa-1217	122	32	with	with	ADP
ijassa-1217	122	33	respect	respect	NOUN
ijassa-1217	122	34	to	to	ADP
ijassa-1217	122	35	x̄.	x̄.	PUNCT
ijassa-1217	122	36	let	let	VERB
ijassa-1217	122	37	x̄	x̄	PRON
ijassa-1217	122	38	be	be	AUX
ijassa-1217	122	39	a	a	DET
ijassa-1217	122	40	stationary	stationary	ADJ
ijassa-1217	122	41	point	point	NOUN
ijassa-1217	122	42	of	of	ADP
ijassa-1217	122	43	problem	problem	NOUN
ijassa-1217	122	44	(	(	PUNCT
ijassa-1217	122	45	2.8	2.8	NUM
ijassa-1217	122	46	)	)	PUNCT
ijassa-1217	122	47	,	,	PUNCT
ijassa-1217	122	48	with	with	ADP
ijassa-1217	122	49	an	an	DET
ijassa-1217	122	50	associated	associated	ADJ
ijassa-1217	122	51	lagrange	lagrange	NOUN
ijassa-1217	122	52	multiplier	multiplier	ADV
ijassa-1217	122	53	λ̄	λ̄	ADP
ijassa-1217	122	54	∈	∈	PROPN
ijassa-1217	122	55	rl	rl	X
ijassa-1217	122	56	,	,	PUNCT
ijassa-1217	122	57	and	and	CCONJ
ijassa-1217	122	58	assume	assume	VERB
ijassa-1217	122	59	that	that	SCONJ
ijassa-1217	122	60	(	(	PUNCT
ijassa-1217	122	61	2.17	2.17	NUM
ijassa-1217	122	62	)	)	PUNCT
ijassa-1217	122	63	with	with	ADP
ijassa-1217	122	64	q(x̄	q(x̄	NUM
ijassa-1217	122	65	,	,	PUNCT
ijassa-1217	122	66	λ̄	λ̄	PRON
ijassa-1217	122	67	)	)	PUNCT
ijassa-1217	122	68	defined	define	VERB
ijassa-1217	122	69	in	in	ADP
ijassa-1217	122	70	(	(	PUNCT
ijassa-1217	122	71	2.16	2.16	NUM
ijassa-1217	122	72	)	)	PUNCT
ijassa-1217	122	73	,	,	PUNCT
ijassa-1217	122	74	(	(	PUNCT
ijassa-1217	122	75	2.18	2.18	NUM
ijassa-1217	122	76	)	)	PUNCT
ijassa-1217	122	77	,	,	PUNCT
ijassa-1217	122	78	and	and	CCONJ
ijassa-1217	122	79	(	(	PUNCT
ijassa-1217	122	80	2.19	2.19	NUM
ijassa-1217	122	81	)	)	PUNCT
ijassa-1217	122	82	hold	hold	VERB
ijassa-1217	122	83	with	with	ADP
ijassa-1217	122	84	some	some	DET
ijassa-1217	122	85	ξ̄	ξ̄	ADJ
ijassa-1217	122	86	∈	∈	PROPN
ijassa-1217	122	87	rn	rn	NOUN
ijassa-1217	122	88	\	\	PROPN
ijassa-1217	122	89	{	{	PUNCT
ijassa-1217	122	90	0	0	NUM
ijassa-1217	122	91	}	}	PUNCT
ijassa-1217	122	92	.	.	PUNCT
ijassa-1217	123	1	assume	assume	VERB
ijassa-1217	123	2	also	also	ADV
ijassa-1217	123	3	that	that	SCONJ
ijassa-1217	123	4	h′(x̄	h′(x̄	PROPN
ijassa-1217	123	5	)	)	PUNCT
ijassa-1217	123	6	6=	6=	ADP
ijassa-1217	123	7	0	0	NUM
ijassa-1217	123	8	,	,	PUNCT
ijassa-1217	123	9	and	and	CCONJ
ijassa-1217	123	10	set	set	VERB
ijassa-1217	123	11	ū	ū	NOUN
ijassa-1217	123	12	=	=	SYM
ijassa-1217	123	13	(	(	PUNCT
ijassa-1217	123	14	x̄	x̄	NOUN
ijassa-1217	123	15	,	,	PUNCT
ijassa-1217	123	16	λ̄	λ̄	ADJ
ijassa-1217	123	17	)	)	PUNCT
ijassa-1217	123	18	.	.	PUNCT
ijassa-1217	124	1	then	then	ADV
ijassa-1217	124	2	there	there	PRON
ijassa-1217	124	3	exist	exist	VERB
ijassa-1217	124	4	ρ	ρ	PROPN
ijassa-1217	124	5	>	>	X
ijassa-1217	124	6	0	0	PUNCT
ijassa-1217	124	7	and	and	CCONJ
ijassa-1217	124	8	a	a	DET
ijassa-1217	124	9	set	set	NOUN
ijassa-1217	124	10	u	u	PROPN
ijassa-1217	124	11	⊂	⊂	PROPN
ijassa-1217	124	12	rn	rn	PROPN
ijassa-1217	124	13	×	×	PROPN
ijassa-1217	124	14	rl	rl	PROPN
ijassa-1217	124	15	starlike	starlike	NOUN
ijassa-1217	124	16	with	with	ADP
ijassa-1217	124	17	respect	respect	NOUN
ijassa-1217	124	18	to	to	ADP
ijassa-1217	124	19	ū	ū	NOUN
ijassa-1217	124	20	,	,	PUNCT
ijassa-1217	124	21	asymptotically	asymptotically	ADV
ijassa-1217	124	22	dense	dense	ADJ
ijassa-1217	124	23	at	at	ADP
ijassa-1217	124	24	ū	ū	NOUN
ijassa-1217	124	25	,	,	PUNCT
ijassa-1217	124	26	and	and	CCONJ
ijassa-1217	124	27	such	such	ADJ
ijassa-1217	124	28	that	that	PRON
ijassa-1217	124	29	for	for	ADP
ijassa-1217	124	30	every	every	DET
ijassa-1217	124	31	starting	starting	NOUN
ijassa-1217	124	32	point	point	NOUN
ijassa-1217	124	33	u0	u0	PROPN
ijassa-1217	124	34	∈	∈	PROPN
ijassa-1217	124	35	u	u	NOUN
ijassa-1217	124	36	,	,	PUNCT
ijassa-1217	124	37	algorithm	algorithm	NOUN
ijassa-1217	124	38	2.2	2.2	NUM
ijassa-1217	124	39	with	with	ADP
ijassa-1217	124	40	σ	σ	PROPN
ijassa-1217	124	41	∈	∈	PROPN
ijassa-1217	124	42	(	(	PUNCT
ijassa-1217	124	43	0	0	NUM
ijassa-1217	124	44	,	,	PUNCT
ijassa-1217	124	45	3/4	3/4	NUM
ijassa-1217	124	46	)	)	PUNCT
ijassa-1217	124	47	uniquely	uniquely	ADV
ijassa-1217	124	48	defines	define	VERB
ijassa-1217	124	49	the	the	DET
ijassa-1217	124	50	sequence	sequence	NOUN
ijassa-1217	124	51	{	{	PUNCT
ijassa-1217	124	52	uk	uk	PROPN
ijassa-1217	124	53	}	}	PUNCT
ijassa-1217	124	54	,	,	PUNCT
ijassa-1217	124	55	this	this	DET
ijassa-1217	124	56	sequence	sequence	NOUN
ijassa-1217	124	57	converges	converge	VERB
ijassa-1217	124	58	to	to	ADP
ijassa-1217	124	59	ū	ū	NOUN
ijassa-1217	124	60	,	,	PUNCT
ijassa-1217	124	61	and	and	CCONJ
ijassa-1217	124	62	αk	αk	SCONJ
ijassa-1217	124	63	=	=	NOUN
ijassa-1217	124	64	1	1	NUM
ijassa-1217	124	65	is	be	AUX
ijassa-1217	124	66	accepted	accept	VERB
ijassa-1217	124	67	at	at	ADP
ijassa-1217	124	68	step	step	NOUN
ijassa-1217	124	69	4	4	NUM
ijassa-1217	124	70	of	of	ADP
ijassa-1217	124	71	this	this	DET
ijassa-1217	124	72	algorithm	algorithm	NOUN
ijassa-1217	124	73	for	for	ADP
ijassa-1217	124	74	all	all	DET
ijassa-1217	124	75	k	k	PROPN
ijassa-1217	124	76	large	large	ADJ
ijassa-1217	124	77	enough	enough	ADV
ijassa-1217	124	78	.	.	PUNCT
ijassa-1217	125	1	getting	get	VERB
ijassa-1217	125	2	back	back	ADV
ijassa-1217	125	3	to	to	ADP
ijassa-1217	125	4	a	a	DET
ijassa-1217	125	5	general	general	ADJ
ijassa-1217	125	6	optimization	optimization	NOUN
ijassa-1217	125	7	problems	problem	NOUN
ijassa-1217	125	8	involving	involve	VERB
ijassa-1217	125	9	inequality	inequality	NOUN
ijassa-1217	125	10	constraints	constraint	NOUN
ijassa-1217	125	11	,	,	PUNCT
ijassa-1217	125	12	we	we	PRON
ijassa-1217	125	13	recall	recall	VERB
ijassa-1217	125	14	that	that	SCONJ
ijassa-1217	125	15	according	accord	VERB
ijassa-1217	125	16	to	to	ADP
ijassa-1217	125	17	[	[	X
ijassa-1217	125	18	18	18	NUM
ijassa-1217	125	19	,	,	PUNCT
ijassa-1217	125	20	definition	definition	NOUN
ijassa-1217	125	21	7.8	7.8	NUM
ijassa-1217	125	22	]	]	PUNCT
ijassa-1217	125	23	,	,	PUNCT
ijassa-1217	125	24	a	a	DET
ijassa-1217	125	25	lagrange	lagrange	NOUN
ijassa-1217	125	26	multiplier	multiplier	ADV
ijassa-1217	125	27	(	(	PUNCT
ijassa-1217	125	28	λ̄	λ̄	ADJ
ijassa-1217	125	29	,	,	PUNCT
ijassa-1217	125	30	µ̄	µ̄	PROPN
ijassa-1217	125	31	)	)	PUNCT
ijassa-1217	125	32	associated	associate	VERB
ijassa-1217	125	33	with	with	ADP
ijassa-1217	125	34	a	a	DET
ijassa-1217	125	35	stationary	stationary	ADJ
ijassa-1217	125	36	point	point	NOUN
ijassa-1217	125	37	x̄	x̄	NOUN
ijassa-1217	125	38	of	of	ADP
ijassa-1217	125	39	problem	problem	NOUN
ijassa-1217	125	40	(	(	PUNCT
ijassa-1217	125	41	1.1	1.1	NUM
ijassa-1217	125	42	)	)	PUNCT
ijassa-1217	125	43	is	be	AUX
ijassa-1217	125	44	called	call	VERB
ijassa-1217	125	45	critical	critical	ADJ
ijassa-1217	125	46	with	with	ADP
ijassa-1217	125	47	respect	respect	NOUN
ijassa-1217	125	48	to	to	ADP
ijassa-1217	125	49	an	an	DET
ijassa-1217	125	50	index	index	NOUN
ijassa-1217	125	51	set	set	VERB
ijassa-1217	125	52	a	a	DET
ijassa-1217	125	53	⊂	⊂	PRON
ijassa-1217	125	54	a(x̄	a(x̄	NOUN
ijassa-1217	125	55	)	)	PUNCT
ijassa-1217	125	56	if	if	SCONJ
ijassa-1217	125	57	µ̄a(x̄)\a	µ̄a(x̄)\a	PROPN
ijassa-1217	125	58	=	=	SYM
ijassa-1217	125	59	0	0	NUM
ijassa-1217	125	60	and	and	CCONJ
ijassa-1217	125	61	(	(	PUNCT
ijassa-1217	125	62	λ̄	λ̄	ADJ
ijassa-1217	125	63	,	,	PUNCT
ijassa-1217	125	64	µ̄a	µ̄a	ADJ
ijassa-1217	125	65	)	)	PUNCT
ijassa-1217	125	66	is	be	AUX
ijassa-1217	125	67	a	a	DET
ijassa-1217	125	68	critical	critical	ADJ
ijassa-1217	125	69	lagrange	lagrange	NOUN
ijassa-1217	125	70	multiplier	multiplier	ADV
ijassa-1217	125	71	associated	associate	VERB
ijassa-1217	125	72	with	with	ADP
ijassa-1217	125	73	the	the	DET
ijassa-1217	125	74	stationary	stationary	ADJ
ijassa-1217	125	75	point	point	NOUN
ijassa-1217	125	76	x̄	x̄	NOUN
ijassa-1217	125	77	of	of	ADP
ijassa-1217	125	78	the	the	DET
ijassa-1217	125	79	equality	equality	NOUN
ijassa-1217	125	80	-	-	PUNCT
ijassa-1217	125	81	constrained	constrain	VERB
ijassa-1217	125	82	optimization	optimization	NOUN
ijassa-1217	125	83	problem	problem	NOUN
ijassa-1217	125	84	minimize	minimize	VERB
ijassa-1217	125	85	f(x	f(x	PROPN
ijassa-1217	125	86	)	)	PUNCT
ijassa-1217	125	87	subject	subject	NOUN
ijassa-1217	125	88	to	to	ADP
ijassa-1217	125	89	h(x	h(x	PROPN
ijassa-1217	125	90	)	)	PUNCT
ijassa-1217	126	1	=	=	SYM
ijassa-1217	126	2	0	0	NUM
ijassa-1217	126	3	,	,	PUNCT
ijassa-1217	126	4	ga(x	ga(x	NOUN
ijassa-1217	126	5	)	)	PUNCT
ijassa-1217	126	6	=	=	SYM
ijassa-1217	127	1	0	0	X
ijassa-1217	127	2	.	.	PUNCT
ijassa-1217	128	1	(	(	PUNCT
ijassa-1217	128	2	2.20	2.20	NUM
ijassa-1217	128	3	)	)	PUNCT
ijassa-1217	128	4	as	as	SCONJ
ijassa-1217	128	5	discussed	discuss	VERB
ijassa-1217	128	6	in	in	ADP
ijassa-1217	128	7	[	[	X
ijassa-1217	128	8	15	15	NUM
ijassa-1217	128	9	]	]	PUNCT
ijassa-1217	128	10	and	and	CCONJ
ijassa-1217	128	11	[	[	X
ijassa-1217	128	12	18	18	NUM
ijassa-1217	128	13	,	,	PUNCT
ijassa-1217	128	14	section	section	NOUN
ijassa-1217	128	15	7.1.2	7.1.2	NUM
ijassa-1217	128	16	]	]	X
ijassa-1217	128	17	,	,	PUNCT
ijassa-1217	128	18	the	the	DET
ijassa-1217	128	19	effect	effect	NOUN
ijassa-1217	128	20	of	of	ADP
ijassa-1217	128	21	criticality	criticality	NOUN
ijassa-1217	128	22	on	on	ADP
ijassa-1217	128	23	performance	performance	NOUN
ijassa-1217	128	24	of	of	ADP
ijassa-1217	128	25	primaldual	primaldual	ADJ
ijassa-1217	128	26	algorithms	algorithm	NOUN
ijassa-1217	128	27	shows	show	VERB
ijassa-1217	128	28	up	up	ADP
ijassa-1217	128	29	precisely	precisely	ADV
ijassa-1217	128	30	this	this	DET
ijassa-1217	128	31	way	way	NOUN
ijassa-1217	128	32	,	,	PUNCT
ijassa-1217	128	33	through	through	ADP
ijassa-1217	128	34	stabilization	stabilization	NOUN
ijassa-1217	128	35	of	of	ADP
ijassa-1217	128	36	specific	specific	ADJ
ijassa-1217	128	37	activity	activity	NOUN
ijassa-1217	128	38	patterns	pattern	NOUN
ijassa-1217	128	39	.	.	PUNCT
ijassa-1217	129	1	this	this	PRON
ijassa-1217	129	2	is	be	AUX
ijassa-1217	129	3	confirmed	confirm	VERB
ijassa-1217	129	4	by	by	ADP
ijassa-1217	129	5	the	the	DET
ijassa-1217	129	6	numerical	numerical	ADJ
ijassa-1217	129	7	experiments	experiment	NOUN
ijassa-1217	129	8	discussed	discuss	VERB
ijassa-1217	129	9	in	in	ADP
ijassa-1217	129	10	section	section	NOUN
ijassa-1217	129	11	4	4	NUM
ijassa-1217	129	12	below	below	ADV
ijassa-1217	129	13	.	.	PUNCT
ijassa-1217	130	1	3	3	X
ijassa-1217	130	2	.	.	X
ijassa-1217	130	3	optimization	optimization	NOUN
ijassa-1217	130	4	with	with	ADP
ijassa-1217	130	5	inequality	inequality	NOUN
ijassa-1217	130	6	constraints	constraint	NOUN
ijassa-1217	130	7	unlike	unlike	ADP
ijassa-1217	130	8	algorithms	algorithms	NOUN
ijassa-1217	130	9	2.1	2.1	NUM
ijassa-1217	130	10	and	and	CCONJ
ijassa-1217	130	11	2.2	2.2	NUM
ijassa-1217	130	12	,	,	PUNCT
ijassa-1217	130	13	the	the	DET
ijassa-1217	130	14	algorithm	algorithm	NOUN
ijassa-1217	130	15	for	for	ADP
ijassa-1217	130	16	problem	problem	NOUN
ijassa-1217	130	17	(	(	PUNCT
ijassa-1217	130	18	1.1	1.1	NUM
ijassa-1217	130	19	)	)	PUNCT
ijassa-1217	130	20	that	that	SCONJ
ijassa-1217	130	21	we	we	PRON
ijassa-1217	130	22	present	present	VERB
ijassa-1217	130	23	next	next	ADV
ijassa-1217	130	24	is	be	AUX
ijassa-1217	130	25	not	not	PART
ijassa-1217	130	26	just	just	ADV
ijassa-1217	130	27	a	a	DET
ijassa-1217	130	28	prototype	prototype	NOUN
ijassa-1217	130	29	algorithm	algorithm	NOUN
ijassa-1217	130	30	in	in	ADP
ijassa-1217	130	31	the	the	DET
ijassa-1217	130	32	following	follow	VERB
ijassa-1217	130	33	sense	sense	NOUN
ijassa-1217	130	34	:	:	PUNCT
ijassa-1217	130	35	it	it	PRON
ijassa-1217	130	36	is	be	AUX
ijassa-1217	130	37	supplied	supply	VERB
ijassa-1217	130	38	by	by	ADP
ijassa-1217	130	39	a	a	DET
ijassa-1217	130	40	mechanism	mechanism	NOUN
ijassa-1217	130	41	intended	intend	VERB
ijassa-1217	130	42	to	to	PART
ijassa-1217	130	43	avoid	avoid	VERB
ijassa-1217	130	44	unnecessary	unnecessary	ADJ
ijassa-1217	130	45	terminations	termination	NOUN
ijassa-1217	130	46	with	with	ADP
ijassa-1217	130	47	failure	failure	NOUN
ijassa-1217	130	48	,	,	PUNCT
ijassa-1217	130	49	especially	especially	ADV
ijassa-1217	130	50	far	far	ADV
ijassa-1217	130	51	from	from	ADP
ijassa-1217	130	52	solutions	solution	NOUN
ijassa-1217	130	53	,	,	PUNCT
ijassa-1217	130	54	and	and	CCONJ
ijassa-1217	130	55	it	it	PRON
ijassa-1217	130	56	is	be	AUX
ijassa-1217	130	57	exactly	exactly	ADV
ijassa-1217	130	58	what	what	PRON
ijassa-1217	130	59	we	we	PRON
ijassa-1217	130	60	used	use	VERB
ijassa-1217	130	61	in	in	ADP
ijassa-1217	130	62	numerical	numerical	ADJ
ijassa-1217	130	63	experiments	experiment	NOUN
ijassa-1217	130	64	in	in	ADP
ijassa-1217	130	65	section	section	NOUN
ijassa-1217	130	66	4	4	NUM
ijassa-1217	130	67	.	.	PUNCT
ijassa-1217	130	68	more	more	ADV
ijassa-1217	130	69	precisely	precisely	ADV
ijassa-1217	130	70	,	,	PUNCT
ijassa-1217	130	71	the	the	DET
ijassa-1217	130	72	issue	issue	NOUN
ijassa-1217	130	73	of	of	ADP
ijassa-1217	130	74	possible	possible	ADJ
ijassa-1217	130	75	infeasibility	infeasibility	NOUN
ijassa-1217	130	76	of	of	ADP
ijassa-1217	130	77	the	the	DET
ijassa-1217	130	78	iteration	iteration	NOUN
ijassa-1217	130	79	subproblem	subproblem	NOUN
ijassa-1217	130	80	(	(	PUNCT
ijassa-1217	130	81	3.23	3.23	NUM
ijassa-1217	130	82	)	)	PUNCT
ijassa-1217	130	83	(	(	PUNCT
ijassa-1217	130	84	a	a	DET
ijassa-1217	130	85	counterpart	counterpart	NOUN
ijassa-1217	130	86	of	of	ADP
ijassa-1217	130	87	(	(	PUNCT
ijassa-1217	130	88	2.15	2.15	NUM
ijassa-1217	130	89	)	)	PUNCT
ijassa-1217	130	90	involving	involve	VERB
ijassa-1217	130	91	linearized	linearize	VERB
ijassa-1217	130	92	copyright	copyright	NOUN
ijassa-1217	130	93	©	©	ADP
ijassa-1217	130	94	2022	2022	NUM
ijassa-1217	130	95	assa	assa	NOUN
ijassa-1217	130	96	.	.	PUNCT
ijassa-1217	131	1	adv	adv	PROPN
ijassa-1217	131	2	syst	syst	PROPN
ijassa-1217	131	3	sci	sci	PROPN
ijassa-1217	131	4	appl	appl	PROPN
ijassa-1217	131	5	(	(	PUNCT
ijassa-1217	131	6	2022	2022	NUM
ijassa-1217	131	7	)	)	PUNCT
ijassa-1217	131	8	accelerating	accelerate	VERB
ijassa-1217	131	9	sequential	sequential	ADJ
ijassa-1217	131	10	quadratic	quadratic	ADJ
ijassa-1217	131	11	programming	programming	NOUN
ijassa-1217	131	12	for	for	ADP
ijassa-1217	131	13	inequality	inequality	NOUN
ijassa-1217	131	14	-	-	PUNCT
ijassa-1217	131	15	constrained	constrain	VERB
ijassa-1217	131	16	79	79	NUM
ijassa-1217	131	17	inequality	inequality	NOUN
ijassa-1217	131	18	constraints	constraint	NOUN
ijassa-1217	131	19	)	)	PUNCT
ijassa-1217	131	20	is	be	AUX
ijassa-1217	131	21	not	not	PART
ijassa-1217	131	22	addressed	address	VERB
ijassa-1217	131	23	in	in	ADP
ijassa-1217	131	24	this	this	DET
ijassa-1217	131	25	algorithm	algorithm	NOUN
ijassa-1217	131	26	,	,	PUNCT
ijassa-1217	131	27	and	and	CCONJ
ijassa-1217	131	28	it	it	PRON
ijassa-1217	131	29	still	still	ADV
ijassa-1217	131	30	stops	stop	VERB
ijassa-1217	131	31	with	with	ADP
ijassa-1217	131	32	failure	failure	NOUN
ijassa-1217	131	33	in	in	ADP
ijassa-1217	131	34	such	such	ADJ
ijassa-1217	131	35	cases	case	NOUN
ijassa-1217	131	36	,	,	PUNCT
ijassa-1217	131	37	as	as	SCONJ
ijassa-1217	131	38	this	this	PRON
ijassa-1217	131	39	is	be	AUX
ijassa-1217	131	40	a	a	DET
ijassa-1217	131	41	general	general	ADJ
ijassa-1217	131	42	issue	issue	NOUN
ijassa-1217	131	43	concerned	concern	VERB
ijassa-1217	131	44	with	with	ADP
ijassa-1217	131	45	sqp	sqp	PROPN
ijassa-1217	131	46	methods	method	NOUN
ijassa-1217	131	47	,	,	PUNCT
ijassa-1217	131	48	and	and	CCONJ
ijassa-1217	131	49	there	there	PRON
ijassa-1217	131	50	are	be	VERB
ijassa-1217	131	51	known	know	VERB
ijassa-1217	131	52	tools	tool	NOUN
ijassa-1217	131	53	for	for	ADP
ijassa-1217	131	54	tackling	tackle	VERB
ijassa-1217	131	55	it	it	PRON
ijassa-1217	131	56	;	;	PUNCT
ijassa-1217	131	57	see	see	VERB
ijassa-1217	131	58	,	,	PUNCT
ijassa-1217	131	59	e.g.	e.g.	ADV
ijassa-1217	131	60	,	,	PUNCT
ijassa-1217	131	61	[	[	X
ijassa-1217	131	62	18	18	NUM
ijassa-1217	131	63	,	,	PUNCT
ijassa-1217	131	64	section	section	NOUN
ijassa-1217	131	65	6.2	6.2	NUM
ijassa-1217	131	66	]	]	PUNCT
ijassa-1217	131	67	.	.	PUNCT
ijassa-1217	132	1	however	however	ADV
ijassa-1217	132	2	,	,	PUNCT
ijassa-1217	132	3	when	when	SCONJ
ijassa-1217	132	4	the	the	DET
ijassa-1217	132	5	iteration	iteration	NOUN
ijassa-1217	132	6	subproblem	subproblem	NOUN
ijassa-1217	132	7	is	be	AUX
ijassa-1217	132	8	feasible	feasible	ADJ
ijassa-1217	132	9	but	but	CCONJ
ijassa-1217	132	10	can	can	AUX
ijassa-1217	132	11	not	not	PART
ijassa-1217	132	12	be	be	AUX
ijassa-1217	132	13	solved	solve	VERB
ijassa-1217	132	14	,	,	PUNCT
ijassa-1217	132	15	or	or	CCONJ
ijassa-1217	132	16	when	when	SCONJ
ijassa-1217	132	17	the	the	DET
ijassa-1217	132	18	generated	generate	VERB
ijassa-1217	132	19	primal	primal	ADJ
ijassa-1217	132	20	direction	direction	NOUN
ijassa-1217	132	21	ξk	ξk	ADP
ijassa-1217	132	22	does	do	AUX
ijassa-1217	132	23	not	not	PART
ijassa-1217	132	24	pass	pass	VERB
ijassa-1217	132	25	the	the	DET
ijassa-1217	132	26	sufficient	sufficient	ADJ
ijassa-1217	132	27	descent	descent	NOUN
ijassa-1217	132	28	test	test	NOUN
ijassa-1217	132	29	(	(	PUNCT
ijassa-1217	132	30	3.25	3.25	NUM
ijassa-1217	132	31	)	)	PUNCT
ijassa-1217	132	32	(	(	PUNCT
ijassa-1217	132	33	a	a	DET
ijassa-1217	132	34	counterpart	counterpart	NOUN
ijassa-1217	132	35	of	of	ADP
ijassa-1217	132	36	(	(	PUNCT
ijassa-1217	132	37	2.13	2.13	NUM
ijassa-1217	132	38	)	)	PUNCT
ijassa-1217	132	39	)	)	PUNCT
ijassa-1217	132	40	,	,	PUNCT
ijassa-1217	132	41	the	the	DET
ijassa-1217	132	42	algorithm	algorithm	NOUN
ijassa-1217	132	43	does	do	AUX
ijassa-1217	132	44	not	not	PART
ijassa-1217	132	45	stop	stop	VERB
ijassa-1217	132	46	with	with	ADP
ijassa-1217	132	47	failure	failure	NOUN
ijassa-1217	132	48	,	,	PUNCT
ijassa-1217	132	49	but	but	CCONJ
ijassa-1217	132	50	rather	rather	ADV
ijassa-1217	132	51	sequentially	sequentially	ADV
ijassa-1217	132	52	adjusts	adjust	VERB
ijassa-1217	132	53	the	the	DET
ijassa-1217	132	54	basic	basic	ADJ
ijassa-1217	132	55	choice	choice	NOUN
ijassa-1217	132	56	of	of	ADP
ijassa-1217	132	57	hk	hk	PROPN
ijassa-1217	132	58	=	=	PROPN
ijassa-1217	132	59	∂2l	∂2l	PROPN
ijassa-1217	132	60	∂x2	∂x2	PROPN
ijassa-1217	132	61	(	(	PUNCT
ijassa-1217	132	62	xk	xk	PROPN
ijassa-1217	132	63	,	,	PUNCT
ijassa-1217	132	64	λk	λk	PROPN
ijassa-1217	132	65	,	,	PUNCT
ijassa-1217	132	66	µk	µk	PROPN
ijassa-1217	132	67	)	)	PUNCT
ijassa-1217	132	68	(	(	PUNCT
ijassa-1217	132	69	3.21	3.21	NUM
ijassa-1217	132	70	)	)	PUNCT
ijassa-1217	132	71	in	in	ADP
ijassa-1217	132	72	such	such	DET
ijassa-1217	132	73	a	a	DET
ijassa-1217	132	74	way	way	NOUN
ijassa-1217	132	75	that	that	PRON
ijassa-1217	132	76	eventually	eventually	ADV
ijassa-1217	132	77	the	the	DET
ijassa-1217	132	78	needed	need	VERB
ijassa-1217	132	79	ξk	ξk	ADP
ijassa-1217	132	80	satisfying	satisfy	VERB
ijassa-1217	132	81	(	(	PUNCT
ijassa-1217	132	82	3.25	3.25	NUM
ijassa-1217	132	83	)	)	PUNCT
ijassa-1217	132	84	is	be	AUX
ijassa-1217	132	85	always	always	ADV
ijassa-1217	132	86	found	find	VERB
ijassa-1217	132	87	.	.	PUNCT
ijassa-1217	133	1	for	for	ADP
ijassa-1217	133	2	every	every	DET
ijassa-1217	133	3	value	value	NOUN
ijassa-1217	133	4	of	of	ADP
ijassa-1217	133	5	the	the	DET
ijassa-1217	133	6	penalty	penalty	NOUN
ijassa-1217	133	7	parameter	parameter	NOUN
ijassa-1217	134	1	c	c	PROPN
ijassa-1217	134	2	>	>	PROPN
ijassa-1217	134	3	0	0	NUM
ijassa-1217	134	4	,	,	PUNCT
ijassa-1217	134	5	we	we	PRON
ijassa-1217	134	6	now	now	ADV
ijassa-1217	134	7	need	need	VERB
ijassa-1217	134	8	to	to	PART
ijassa-1217	134	9	re	re	VERB
ijassa-1217	134	10	-	-	VERB
ijassa-1217	134	11	define	define	VERB
ijassa-1217	134	12	the	the	DET
ijassa-1217	134	13	penalty	penalty	NOUN
ijassa-1217	134	14	function	function	NOUN
ijassa-1217	134	15	ϕc	ϕc	ADJ
ijassa-1217	134	16	:	:	PUNCT
ijassa-1217	134	17	rn	rn	PROPN
ijassa-1217	134	18	→	→	SYM
ijassa-1217	134	19	r	r	NOUN
ijassa-1217	134	20	in	in	ADP
ijassa-1217	134	21	order	order	NOUN
ijassa-1217	134	22	to	to	PART
ijassa-1217	134	23	incorporate	incorporate	VERB
ijassa-1217	134	24	the	the	DET
ijassa-1217	134	25	inequality	inequality	NOUN
ijassa-1217	134	26	constraints	constraint	NOUN
ijassa-1217	134	27	:	:	PUNCT
ijassa-1217	134	28	ϕc(x	ϕc(x	NUM
ijassa-1217	134	29	)	)	PUNCT
ijassa-1217	135	1	=	=	SYM
ijassa-1217	135	2	f(x	f(x	PROPN
ijassa-1217	135	3	)	)	PUNCT
ijassa-1217	136	1	+	+	CCONJ
ijassa-1217	136	2	c(‖h(x)‖1	c(‖h(x)‖1	NOUN
ijassa-1217	136	3	+	+	CCONJ
ijassa-1217	136	4	‖max{0	‖max{0	PROPN
ijassa-1217	136	5	,	,	PUNCT
ijassa-1217	136	6	g(x)}‖1	g(x)}‖1	NOUN
ijassa-1217	136	7	)	)	PUNCT
ijassa-1217	136	8	.	.	PUNCT
ijassa-1217	137	1	(	(	PUNCT
ijassa-1217	137	2	3.22	3.22	NUM
ijassa-1217	137	3	)	)	PUNCT
ijassa-1217	137	4	algorithm	algorithm	NOUN
ijassa-1217	137	5	3.1	3.1	NUM
ijassa-1217	137	6	:	:	PUNCT
ijassa-1217	137	7	fix	fix	VERB
ijassa-1217	137	8	the	the	DET
ijassa-1217	137	9	parameters	parameter	NOUN
ijassa-1217	137	10	c̄	c̄	X
ijassa-1217	137	11	>	>	SYM
ijassa-1217	137	12	0	0	NUM
ijassa-1217	137	13	,	,	PUNCT
ijassa-1217	137	14	c̃	c̃	PROPN
ijassa-1217	137	15	>	>	X
ijassa-1217	137	16	0	0	PROPN
ijassa-1217	137	17	,	,	PUNCT
ijassa-1217	137	18	ρ	ρ	PROPN
ijassa-1217	137	19	>	>	X
ijassa-1217	137	20	0	0	PROPN
ijassa-1217	137	21	and	and	CCONJ
ijassa-1217	137	22	σ	σ	PROPN
ijassa-1217	137	23	,	,	PUNCT
ijassa-1217	137	24	θ	θ	PROPN
ijassa-1217	137	25	∈	∈	PROPN
ijassa-1217	137	26	(	(	PUNCT
ijassa-1217	137	27	0	0	NUM
ijassa-1217	137	28	,	,	PUNCT
ijassa-1217	137	29	1	1	NUM
ijassa-1217	137	30	)	)	PUNCT
ijassa-1217	137	31	.	.	PUNCT
ijassa-1217	138	1	choose	choose	VERB
ijassa-1217	138	2	u0	u0	ADJ
ijassa-1217	138	3	=	=	SYM
ijassa-1217	138	4	(	(	PUNCT
ijassa-1217	138	5	x0	x0	PROPN
ijassa-1217	138	6	,	,	PUNCT
ijassa-1217	138	7	λ0	λ0	NOUN
ijassa-1217	138	8	,	,	PUNCT
ijassa-1217	138	9	µ0	µ0	NUM
ijassa-1217	138	10	)	)	PUNCT
ijassa-1217	138	11	∈	∈	PROPN
ijassa-1217	138	12	rn	rn	PROPN
ijassa-1217	138	13	×	×	NOUN
ijassa-1217	138	14	rl	rl	PROPN
ijassa-1217	138	15	,	,	PUNCT
ijassa-1217	138	16	and	and	CCONJ
ijassa-1217	138	17	set	set	VERB
ijassa-1217	138	18	c−1	c−1	PROPN
ijassa-1217	138	19	=	=	SYM
ijassa-1217	138	20	0	0	PROPN
ijassa-1217	138	21	and	and	CCONJ
ijassa-1217	138	22	k	k	X
ijassa-1217	138	23	=	=	SYM
ijassa-1217	138	24	0	0	NUM
ijassa-1217	138	25	.	.	NOUN
ijassa-1217	139	1	1	1	X
ijassa-1217	139	2	.	.	X
ijassa-1217	139	3	define	define	VERB
ijassa-1217	139	4	hk	hk	PROPN
ijassa-1217	139	5	according	accord	VERB
ijassa-1217	139	6	to	to	ADP
ijassa-1217	139	7	(	(	PUNCT
ijassa-1217	139	8	3.21	3.21	NUM
ijassa-1217	139	9	)	)	PUNCT
ijassa-1217	139	10	.	.	PUNCT
ijassa-1217	140	1	2	2	X
ijassa-1217	140	2	.	.	X
ijassa-1217	140	3	compute	compute	VERB
ijassa-1217	140	4	ξk	ξk	ADP
ijassa-1217	140	5	as	as	ADP
ijassa-1217	140	6	a	a	DET
ijassa-1217	140	7	stationary	stationary	ADJ
ijassa-1217	140	8	point	point	NOUN
ijassa-1217	140	9	of	of	ADP
ijassa-1217	140	10	the	the	DET
ijassa-1217	140	11	quadratic	quadratic	ADJ
ijassa-1217	140	12	programming	programming	NOUN
ijassa-1217	140	13	problem	problem	NOUN
ijassa-1217	140	14	minimize	minimize	VERB
ijassa-1217	140	15	〈	〈	PROPN
ijassa-1217	140	16	f	f	PROPN
ijassa-1217	140	17	′(xk	′(xk	PROPN
ijassa-1217	140	18	)	)	PUNCT
ijassa-1217	140	19	,	,	PUNCT
ijassa-1217	140	20	ξ〉+	ξ〉+	PROPN
ijassa-1217	140	21	1	1	NUM
ijassa-1217	140	22	2	2	NUM
ijassa-1217	140	23	〈	〈	PROPN
ijassa-1217	140	24	hkξ	hkξ	PROPN
ijassa-1217	140	25	,	,	PUNCT
ijassa-1217	140	26	ξ	ξ	PROPN
ijassa-1217	140	27	〉	〉	NUM
ijassa-1217	140	28	subject	subject	NOUN
ijassa-1217	140	29	to	to	ADP
ijassa-1217	140	30	h(xk	h(xk	NOUN
ijassa-1217	140	31	)	)	PUNCT
ijassa-1217	141	1	+	+	CCONJ
ijassa-1217	141	2	h′(xk)ξ	h′(xk)ξ	ADJ
ijassa-1217	141	3	=	=	SYM
ijassa-1217	141	4	0	0	NUM
ijassa-1217	141	5	,	,	PUNCT
ijassa-1217	141	6	g(xk	g(xk	PROPN
ijassa-1217	141	7	)	)	PUNCT
ijassa-1217	141	8	+	+	NUM
ijassa-1217	141	9	g′(xk)ξ	g′(xk)ξ	PROPN
ijassa-1217	141	10	≤	≤	NOUN
ijassa-1217	141	11	0	0	NUM
ijassa-1217	141	12	,	,	PUNCT
ijassa-1217	141	13	(	(	PUNCT
ijassa-1217	141	14	3.23	3.23	NUM
ijassa-1217	141	15	)	)	PUNCT
ijassa-1217	141	16	and	and	CCONJ
ijassa-1217	141	17	(	(	PUNCT
ijassa-1217	141	18	λk+1	λk+1	X
ijassa-1217	141	19	,	,	PUNCT
ijassa-1217	141	20	µk+1	µk+1	VERB
ijassa-1217	141	21	)	)	PUNCT
ijassa-1217	141	22	as	as	ADP
ijassa-1217	141	23	an	an	DET
ijassa-1217	141	24	associated	associated	ADJ
ijassa-1217	141	25	lagrange	lagrange	NOUN
ijassa-1217	141	26	multiplier	multiplier	ADV
ijassa-1217	141	27	.	.	PUNCT
ijassa-1217	142	1	if	if	SCONJ
ijassa-1217	142	2	(	(	PUNCT
ijassa-1217	142	3	3.23	3.23	NUM
ijassa-1217	142	4	)	)	PUNCT
ijassa-1217	142	5	is	be	AUX
ijassa-1217	142	6	infeasible	infeasible	ADJ
ijassa-1217	142	7	,	,	PUNCT
ijassa-1217	142	8	stop	stop	VERB
ijassa-1217	142	9	with	with	ADP
ijassa-1217	142	10	failure	failure	NOUN
ijassa-1217	142	11	.	.	PUNCT
ijassa-1217	143	1	if	if	SCONJ
ijassa-1217	143	2	(	(	PUNCT
ijassa-1217	143	3	3.23	3.23	NUM
ijassa-1217	143	4	)	)	PUNCT
ijassa-1217	143	5	is	be	AUX
ijassa-1217	143	6	feasible	feasible	ADJ
ijassa-1217	143	7	,	,	PUNCT
ijassa-1217	143	8	but	but	CCONJ
ijassa-1217	143	9	a	a	DET
ijassa-1217	143	10	stationary	stationary	ADJ
ijassa-1217	143	11	point	point	NOUN
ijassa-1217	143	12	of	of	ADP
ijassa-1217	143	13	(	(	PUNCT
ijassa-1217	143	14	3.23	3.23	NUM
ijassa-1217	143	15	)	)	PUNCT
ijassa-1217	143	16	can	can	AUX
ijassa-1217	143	17	not	not	PART
ijassa-1217	143	18	be	be	AUX
ijassa-1217	143	19	found	find	VERB
ijassa-1217	143	20	,	,	PUNCT
ijassa-1217	143	21	go	go	VERB
ijassa-1217	143	22	to	to	PART
ijassa-1217	143	23	step	step	VERB
ijassa-1217	143	24	5	5	NUM
ijassa-1217	143	25	.	.	PUNCT
ijassa-1217	143	26	otherwise	otherwise	ADV
ijassa-1217	143	27	,	,	PUNCT
ijassa-1217	143	28	set	set	VERB
ijassa-1217	143	29	ηk	ηk	PRON
ijassa-1217	143	30	=	=	SYM
ijassa-1217	143	31	λk+1	λk+1	PROPN
ijassa-1217	143	32	−	−	PROPN
ijassa-1217	144	1	λk	λk	INTJ
ijassa-1217	144	2	,	,	PUNCT
ijassa-1217	144	3	ζk	ζk	PROPN
ijassa-1217	144	4	=	=	PUNCT
ijassa-1217	144	5	µk+1	µk+1	NUM
ijassa-1217	144	6	−	−	PROPN
ijassa-1217	144	7	µk	µk	NOUN
ijassa-1217	144	8	,	,	PUNCT
ijassa-1217	144	9	vk	vk	X
ijassa-1217	144	10	=	=	SYM
ijassa-1217	144	11	(	(	PUNCT
ijassa-1217	144	12	ξk	ξk	PROPN
ijassa-1217	144	13	,	,	PUNCT
ijassa-1217	144	14	ηk	ηk	PROPN
ijassa-1217	144	15	,	,	PUNCT
ijassa-1217	144	16	ζk	ζk	NOUN
ijassa-1217	144	17	)	)	PUNCT
ijassa-1217	144	18	.	.	PUNCT
ijassa-1217	145	1	3	3	X
ijassa-1217	145	2	.	.	X
ijassa-1217	145	3	set	set	VERB
ijassa-1217	145	4	ck	ck	PROPN
ijassa-1217	146	1	=	=	SYM
ijassa-1217	146	2	max	max	X
ijassa-1217	146	3	{	{	PUNCT
ijassa-1217	146	4	ck−1	ck−1	PROPN
ijassa-1217	146	5	,	,	PUNCT
ijassa-1217	146	6	4(1−	4(1−	NUM
ijassa-1217	146	7	σ)‖(λk+1	σ)‖(λk+1	X
ijassa-1217	146	8	,	,	PUNCT
ijassa-1217	146	9	µk+1)‖∞	µk+1)‖∞	NOUN
ijassa-1217	146	10	+	+	SYM
ijassa-1217	146	11	‖(λk	‖(λk	ADJ
ijassa-1217	146	12	,	,	PUNCT
ijassa-1217	146	13	µk)‖∞	µk)‖∞	NOUN
ijassa-1217	146	14	3−	3−	NUM
ijassa-1217	146	15	4σ	4σ	NUM
ijassa-1217	146	16	+	+	CCONJ
ijassa-1217	146	17	c̄	c̄	ADJ
ijassa-1217	146	18	}	}	PUNCT
ijassa-1217	146	19	.	.	PUNCT
ijassa-1217	147	1	(	(	PUNCT
ijassa-1217	147	2	3.24	3.24	NUM
ijassa-1217	147	3	)	)	PUNCT
ijassa-1217	147	4	if	if	SCONJ
ijassa-1217	147	5	max	max	PROPN
ijassa-1217	147	6	in	in	ADP
ijassa-1217	147	7	(	(	PUNCT
ijassa-1217	147	8	3.24	3.24	NUM
ijassa-1217	147	9	)	)	PUNCT
ijassa-1217	147	10	is	be	AUX
ijassa-1217	147	11	attained	attain	VERB
ijassa-1217	147	12	at	at	ADP
ijassa-1217	147	13	the	the	DET
ijassa-1217	147	14	second	second	ADJ
ijassa-1217	147	15	argument	argument	NOUN
ijassa-1217	147	16	,	,	PUNCT
ijassa-1217	147	17	replace	replace	VERB
ijassa-1217	147	18	ck	ck	INTJ
ijassa-1217	147	19	by	by	ADP
ijassa-1217	147	20	ck	ck	INTJ
ijassa-1217	148	1	+	+	CCONJ
ijassa-1217	148	2	c̃.	c̃.	PROPN
ijassa-1217	148	3	set	set	VERB
ijassa-1217	148	4	∆k	∆k	PROPN
ijassa-1217	148	5	=	=	SYM
ijassa-1217	148	6	〈	〈	PROPN
ijassa-1217	148	7	f	f	PROPN
ijassa-1217	148	8	′(xk	′(xk	PROPN
ijassa-1217	148	9	)	)	PUNCT
ijassa-1217	148	10	,	,	PUNCT
ijassa-1217	148	11	ξk	ξk	ADP
ijassa-1217	148	12	〉	〉	NOUN
ijassa-1217	148	13	−	−	NOUN
ijassa-1217	148	14	ck(‖h(xk)‖1	ck(‖h(xk)‖1	NOUN
ijassa-1217	148	15	+	+	SYM
ijassa-1217	148	16	‖max{0	‖max{0	INTJ
ijassa-1217	148	17	,	,	PUNCT
ijassa-1217	148	18	g(xk)}‖1	g(xk)}‖1	PROPN
ijassa-1217	148	19	)	)	PUNCT
ijassa-1217	148	20	.	.	PUNCT
ijassa-1217	149	1	4	4	X
ijassa-1217	149	2	.	.	X
ijassa-1217	149	3	if	if	SCONJ
ijassa-1217	149	4	the	the	DET
ijassa-1217	149	5	inequality	inequality	NOUN
ijassa-1217	149	6	∆k	∆k	PROPN
ijassa-1217	149	7	≤	≤	ADV
ijassa-1217	149	8	−ρ‖ξk‖2	−ρ‖ξk‖2	PROPN
ijassa-1217	149	9	(	(	PUNCT
ijassa-1217	149	10	3.25	3.25	NUM
ijassa-1217	149	11	)	)	PUNCT
ijassa-1217	149	12	is	be	AUX
ijassa-1217	149	13	satisfied	satisfied	ADJ
ijassa-1217	149	14	,	,	PUNCT
ijassa-1217	149	15	go	go	VERB
ijassa-1217	149	16	to	to	PART
ijassa-1217	149	17	step	step	VERB
ijassa-1217	149	18	6	6	NUM
ijassa-1217	149	19	.	.	NOUN
ijassa-1217	149	20	5	5	NUM
ijassa-1217	149	21	.	.	X
ijassa-1217	149	22	choose	choose	VERB
ijassa-1217	149	23	τk	τk	ADP
ijassa-1217	149	24	>	>	X
ijassa-1217	149	25	0	0	NUM
ijassa-1217	149	26	,	,	PUNCT
ijassa-1217	149	27	replace	replace	VERB
ijassa-1217	149	28	hk	hk	PROPN
ijassa-1217	149	29	by	by	ADP
ijassa-1217	149	30	hk	hk	PROPN
ijassa-1217	149	31	+	+	CCONJ
ijassa-1217	149	32	τki	τki	ADJ
ijassa-1217	149	33	,	,	PUNCT
ijassa-1217	149	34	and	and	CCONJ
ijassa-1217	149	35	go	go	VERB
ijassa-1217	149	36	to	to	PART
ijassa-1217	149	37	step	step	VERB
ijassa-1217	149	38	2	2	NUM
ijassa-1217	149	39	.	.	NOUN
ijassa-1217	149	40	6	6	NUM
ijassa-1217	149	41	.	.	X
ijassa-1217	150	1	set	set	VERB
ijassa-1217	150	2	α	α	NOUN
ijassa-1217	150	3	=	=	SYM
ijassa-1217	150	4	1	1	X
ijassa-1217	150	5	.	.	PUNCT
ijassa-1217	151	1	if	if	SCONJ
ijassa-1217	151	2	the	the	DET
ijassa-1217	151	3	inequality	inequality	NOUN
ijassa-1217	151	4	ϕck(xk	ϕck(xk	VERB
ijassa-1217	151	5	+	+	CCONJ
ijassa-1217	151	6	αξk	αξk	NOUN
ijassa-1217	151	7	)	)	PUNCT
ijassa-1217	151	8	≤	≤	NUM
ijassa-1217	151	9	ϕck(xk	ϕck(xk	NOUN
ijassa-1217	151	10	)	)	PUNCT
ijassa-1217	152	1	+	+	CCONJ
ijassa-1217	152	2	σα∆k	σα∆k	PROPN
ijassa-1217	152	3	(	(	PUNCT
ijassa-1217	152	4	3.26	3.26	NUM
ijassa-1217	152	5	)	)	PUNCT
ijassa-1217	152	6	holds	hold	VERB
ijassa-1217	152	7	with	with	ADP
ijassa-1217	152	8	ϕck	ϕck	NOUN
ijassa-1217	152	9	defined	define	VERB
ijassa-1217	152	10	according	accord	VERB
ijassa-1217	152	11	to	to	ADP
ijassa-1217	152	12	(	(	PUNCT
ijassa-1217	152	13	3.22	3.22	NUM
ijassa-1217	152	14	)	)	PUNCT
ijassa-1217	152	15	,	,	PUNCT
ijassa-1217	152	16	set	set	VERB
ijassa-1217	152	17	αk	αk	NOUN
ijassa-1217	152	18	=	=	SYM
ijassa-1217	152	19	α	α	PROPN
ijassa-1217	152	20	and	and	CCONJ
ijassa-1217	152	21	go	go	VERB
ijassa-1217	152	22	to	to	PART
ijassa-1217	152	23	step	step	VERB
ijassa-1217	152	24	7	7	NUM
ijassa-1217	152	25	.	.	PUNCT
ijassa-1217	153	1	otherwise	otherwise	ADV
ijassa-1217	153	2	,	,	PUNCT
ijassa-1217	153	3	keep	keep	VERB
ijassa-1217	153	4	replacing	replace	VERB
ijassa-1217	153	5	α	α	NOUN
ijassa-1217	153	6	by	by	ADP
ijassa-1217	153	7	θα	θα	NOUN
ijassa-1217	153	8	until	until	ADP
ijassa-1217	153	9	(	(	PUNCT
ijassa-1217	153	10	3.26	3.26	NUM
ijassa-1217	153	11	)	)	PUNCT
ijassa-1217	153	12	is	be	AUX
ijassa-1217	153	13	satisfied	satisfied	ADJ
ijassa-1217	153	14	.	.	PUNCT
ijassa-1217	154	1	7	7	X
ijassa-1217	154	2	.	.	X
ijassa-1217	154	3	define	define	VERB
ijassa-1217	154	4	uk+1	uk+1	NOUN
ijassa-1217	154	5	=	=	SYM
ijassa-1217	154	6	(	(	PUNCT
ijassa-1217	154	7	xk+1	xk+1	PROPN
ijassa-1217	154	8	,	,	PUNCT
ijassa-1217	154	9	λk+1	λk+1	X
ijassa-1217	154	10	,	,	PUNCT
ijassa-1217	154	11	µk+1	µk+1	VERB
ijassa-1217	154	12	)	)	PUNCT
ijassa-1217	154	13	as	as	SCONJ
ijassa-1217	154	14	uk	uk	PROPN
ijassa-1217	154	15	+	+	CCONJ
ijassa-1217	154	16	αkv	αkv	PROPN
ijassa-1217	154	17	k	k	NOUN
ijassa-1217	154	18	,	,	PUNCT
ijassa-1217	154	19	increase	increase	VERB
ijassa-1217	154	20	k	k	NOUN
ijassa-1217	154	21	by	by	ADP
ijassa-1217	154	22	1	1	NUM
ijassa-1217	154	23	,	,	PUNCT
ijassa-1217	154	24	and	and	CCONJ
ijassa-1217	154	25	go	go	VERB
ijassa-1217	154	26	to	to	PART
ijassa-1217	154	27	step	step	VERB
ijassa-1217	154	28	1	1	NUM
ijassa-1217	154	29	.	.	PUNCT
ijassa-1217	155	1	in	in	ADP
ijassa-1217	155	2	step	step	NOUN
ijassa-1217	155	3	7	7	NUM
ijassa-1217	155	4	of	of	ADP
ijassa-1217	155	5	this	this	DET
ijassa-1217	155	6	algorithm	algorithm	NOUN
ijassa-1217	155	7	,	,	PUNCT
ijassa-1217	155	8	it	it	PRON
ijassa-1217	155	9	is	be	AUX
ijassa-1217	155	10	quite	quite	ADV
ijassa-1217	155	11	typical	typical	ADJ
ijassa-1217	155	12	to	to	PART
ijassa-1217	155	13	use	use	VERB
ijassa-1217	155	14	the	the	DET
ijassa-1217	155	15	stepsize	stepsize	NOUN
ijassa-1217	155	16	parameter	parameter	NOUN
ijassa-1217	155	17	in	in	ADP
ijassa-1217	155	18	primal	primal	ADJ
ijassa-1217	155	19	updates	update	NOUN
ijassa-1217	155	20	only	only	ADV
ijassa-1217	155	21	;	;	PUNCT
ijassa-1217	155	22	see	see	VERB
ijassa-1217	155	23	,	,	PUNCT
ijassa-1217	155	24	e.g.	e.g.	ADV
ijassa-1217	155	25	,	,	PUNCT
ijassa-1217	155	26	[	[	X
ijassa-1217	155	27	18	18	NUM
ijassa-1217	155	28	,	,	PUNCT
ijassa-1217	155	29	algorithm	algorithm	NOUN
ijassa-1217	155	30	6.7	6.7	NUM
ijassa-1217	155	31	]	]	PUNCT
ijassa-1217	155	32	.	.	PUNCT
ijassa-1217	156	1	however	however	ADV
ijassa-1217	156	2	,	,	PUNCT
ijassa-1217	156	3	the	the	DET
ijassa-1217	156	4	theory	theory	NOUN
ijassa-1217	156	5	developed	develop	VERB
ijassa-1217	156	6	in	in	ADP
ijassa-1217	156	7	[	[	X
ijassa-1217	156	8	10	10	NUM
ijassa-1217	156	9	]	]	PUNCT
ijassa-1217	156	10	for	for	ADP
ijassa-1217	156	11	the	the	DET
ijassa-1217	156	12	equality	equality	NOUN
ijassa-1217	156	13	-	-	PUNCT
ijassa-1217	156	14	constrained	constrain	VERB
ijassa-1217	156	15	case	case	NOUN
ijassa-1217	156	16	requires	require	VERB
ijassa-1217	156	17	using	use	VERB
ijassa-1217	156	18	the	the	DET
ijassa-1217	156	19	stepsize	stepsize	NOUN
ijassa-1217	156	20	parameter	parameter	NOUN
ijassa-1217	156	21	in	in	ADP
ijassa-1217	156	22	dual	dual	ADJ
ijassa-1217	156	23	updates	update	NOUN
ijassa-1217	156	24	as	as	ADV
ijassa-1217	156	25	well	well	ADV
ijassa-1217	156	26	.	.	PUNCT
ijassa-1217	157	1	this	this	DET
ijassa-1217	157	2	copyright	copyright	NOUN
ijassa-1217	157	3	©	©	ADP
ijassa-1217	157	4	2022	2022	NUM
ijassa-1217	157	5	assa	assa	NOUN
ijassa-1217	157	6	.	.	PUNCT
ijassa-1217	158	1	adv	adv	PROPN
ijassa-1217	158	2	syst	syst	PROPN
ijassa-1217	158	3	sci	sci	PROPN
ijassa-1217	158	4	appl	appl	PROPN
ijassa-1217	158	5	(	(	PUNCT
ijassa-1217	158	6	2022	2022	NUM
ijassa-1217	158	7	)	)	PUNCT
ijassa-1217	158	8	80	80	NUM
ijassa-1217	158	9	a.	a.	NOUN
ijassa-1217	158	10	f.	f.	PROPN
ijassa-1217	158	11	izmailov	izmailov	PROPN
ijassa-1217	158	12	,	,	PUNCT
ijassa-1217	158	13	i.	i.	PROPN
ijassa-1217	158	14	s.	s.	PROPN
ijassa-1217	158	15	rodin	rodin	PROPN
ijassa-1217	158	16	variant	variant	NOUN
ijassa-1217	158	17	of	of	ADP
ijassa-1217	158	18	linesearch	linesearch	NOUN
ijassa-1217	158	19	sqp	sqp	PROPN
ijassa-1217	158	20	algorithms	algorithms	PROPN
ijassa-1217	158	21	is	be	AUX
ijassa-1217	158	22	also	also	ADV
ijassa-1217	158	23	quite	quite	ADV
ijassa-1217	158	24	common	common	ADJ
ijassa-1217	158	25	;	;	PUNCT
ijassa-1217	158	26	see	see	VERB
ijassa-1217	158	27	,	,	PUNCT
ijassa-1217	158	28	e.g.	e.g.	ADV
ijassa-1217	158	29	,	,	PUNCT
ijassa-1217	158	30	[	[	X
ijassa-1217	158	31	23	23	NUM
ijassa-1217	158	32	,	,	PUNCT
ijassa-1217	158	33	algorithm	algorithm	NOUN
ijassa-1217	158	34	18.3	18.3	NUM
ijassa-1217	158	35	]	]	PUNCT
ijassa-1217	158	36	.	.	PUNCT
ijassa-1217	159	1	theoretical	theoretical	ADJ
ijassa-1217	159	2	global	global	ADJ
ijassa-1217	159	3	convergence	convergence	NOUN
ijassa-1217	159	4	properties	property	NOUN
ijassa-1217	159	5	of	of	ADP
ijassa-1217	159	6	this	this	DET
ijassa-1217	159	7	kind	kind	NOUN
ijassa-1217	159	8	of	of	ADP
ijassa-1217	159	9	algorithms	algorithm	NOUN
ijassa-1217	159	10	,	,	PUNCT
ijassa-1217	159	11	as	as	ADV
ijassa-1217	159	12	well	well	ADV
ijassa-1217	159	13	as	as	ADP
ijassa-1217	159	14	their	their	PRON
ijassa-1217	159	15	rate	rate	NOUN
ijassa-1217	159	16	of	of	ADP
ijassa-1217	159	17	convergence	convergence	NOUN
ijassa-1217	159	18	properties	property	NOUN
ijassa-1217	159	19	under	under	ADP
ijassa-1217	159	20	“	"	PUNCT
ijassa-1217	159	21	standard	standard	ADJ
ijassa-1217	159	22	”	"	PUNCT
ijassa-1217	159	23	assumptions	assumption	NOUN
ijassa-1217	159	24	were	be	AUX
ijassa-1217	159	25	recently	recently	ADV
ijassa-1217	159	26	discussed	discuss	VERB
ijassa-1217	159	27	in	in	ADP
ijassa-1217	159	28	[	[	X
ijassa-1217	159	29	20	20	NUM
ijassa-1217	159	30	]	]	PUNCT
ijassa-1217	159	31	;	;	PUNCT
ijassa-1217	159	32	see	see	VERB
ijassa-1217	159	33	also	also	ADV
ijassa-1217	159	34	references	reference	NOUN
ijassa-1217	159	35	therein	therein	ADV
ijassa-1217	159	36	.	.	PUNCT
ijassa-1217	160	1	here	here	ADV
ijassa-1217	160	2	,	,	PUNCT
ijassa-1217	160	3	however	however	ADV
ijassa-1217	160	4	,	,	PUNCT
ijassa-1217	160	5	we	we	PRON
ijassa-1217	160	6	are	be	AUX
ijassa-1217	160	7	concerned	concerned	ADJ
ijassa-1217	160	8	with	with	ADP
ijassa-1217	160	9	the	the	DET
ijassa-1217	160	10	cases	case	NOUN
ijassa-1217	160	11	when	when	SCONJ
ijassa-1217	160	12	those	those	DET
ijassa-1217	160	13	“	"	PUNCT
ijassa-1217	160	14	standard	standard	ADJ
ijassa-1217	160	15	”	"	PUNCT
ijassa-1217	160	16	assumptions	assumption	NOUN
ijassa-1217	160	17	for	for	ADP
ijassa-1217	160	18	fast	fast	ADJ
ijassa-1217	160	19	local	local	ADJ
ijassa-1217	160	20	convergence	convergence	NOUN
ijassa-1217	160	21	may	may	AUX
ijassa-1217	160	22	fail	fail	VERB
ijassa-1217	160	23	to	to	PART
ijassa-1217	160	24	hold	hold	VERB
ijassa-1217	160	25	,	,	PUNCT
ijassa-1217	160	26	and	and	CCONJ
ijassa-1217	160	27	in	in	ADP
ijassa-1217	160	28	particular	particular	ADJ
ijassa-1217	160	29	,	,	PUNCT
ijassa-1217	160	30	with	with	ADP
ijassa-1217	160	31	the	the	DET
ijassa-1217	160	32	cases	case	NOUN
ijassa-1217	160	33	of	of	ADP
ijassa-1217	160	34	convergence	convergence	NOUN
ijassa-1217	160	35	to	to	ADP
ijassa-1217	160	36	multipliers	multiplier	NOUN
ijassa-1217	160	37	critical	critical	ADJ
ijassa-1217	160	38	with	with	ADP
ijassa-1217	160	39	respect	respect	NOUN
ijassa-1217	160	40	to	to	ADP
ijassa-1217	160	41	a	a	DET
ijassa-1217	160	42	relevant	relevant	ADJ
ijassa-1217	160	43	index	index	NOUN
ijassa-1217	160	44	set	set	NOUN
ijassa-1217	160	45	.	.	PUNCT
ijassa-1217	161	1	motivated	motivate	VERB
ijassa-1217	161	2	by	by	ADP
ijassa-1217	161	3	its	its	PRON
ijassa-1217	161	4	success	success	NOUN
ijassa-1217	161	5	in	in	ADP
ijassa-1217	161	6	the	the	DET
ijassa-1217	161	7	equality	equality	NOUN
ijassa-1217	161	8	-	-	PUNCT
ijassa-1217	161	9	constrained	constrain	VERB
ijassa-1217	161	10	case	case	NOUN
ijassa-1217	161	11	,	,	PUNCT
ijassa-1217	161	12	our	our	PRON
ijassa-1217	161	13	proposal	proposal	NOUN
ijassa-1217	161	14	being	be	AUX
ijassa-1217	161	15	tested	test	VERB
ijassa-1217	161	16	in	in	ADP
ijassa-1217	161	17	this	this	DET
ijassa-1217	161	18	work	work	NOUN
ijassa-1217	161	19	is	be	AUX
ijassa-1217	161	20	to	to	PART
ijassa-1217	161	21	generate	generate	VERB
ijassa-1217	161	22	an	an	DET
ijassa-1217	161	23	extrapolated	extrapolated	ADJ
ijassa-1217	161	24	auxiliary	auxiliary	ADJ
ijassa-1217	161	25	sequence	sequence	NOUN
ijassa-1217	161	26	{	{	PUNCT
ijassa-1217	161	27	ûk	ûk	PROPN
ijassa-1217	161	28	}	}	PUNCT
ijassa-1217	161	29	according	accord	VERB
ijassa-1217	161	30	to	to	ADP
ijassa-1217	161	31	(	(	PUNCT
ijassa-1217	161	32	2.6	2.6	NUM
ijassa-1217	161	33	)	)	PUNCT
ijassa-1217	161	34	,	,	PUNCT
ijassa-1217	161	35	with	with	ADP
ijassa-1217	161	36	expectation	expectation	NOUN
ijassa-1217	161	37	that	that	SCONJ
ijassa-1217	161	38	its	its	PRON
ijassa-1217	161	39	convergence	convergence	NOUN
ijassa-1217	161	40	will	will	AUX
ijassa-1217	161	41	be	be	AUX
ijassa-1217	161	42	faster	fast	ADJ
ijassa-1217	161	43	than	than	ADP
ijassa-1217	161	44	that	that	PRON
ijassa-1217	161	45	of	of	ADP
ijassa-1217	161	46	the	the	DET
ijassa-1217	161	47	main	main	ADJ
ijassa-1217	161	48	sequence	sequence	NOUN
ijassa-1217	161	49	{	{	PUNCT
ijassa-1217	161	50	uk	uk	PROPN
ijassa-1217	161	51	}	}	PUNCT
ijassa-1217	161	52	.	.	PUNCT
ijassa-1217	162	1	4	4	X
ijassa-1217	162	2	.	.	NOUN
ijassa-1217	162	3	numerical	numerical	ADJ
ijassa-1217	162	4	experiments	experiment	NOUN
ijassa-1217	162	5	algorithm	algorithm	PROPN
ijassa-1217	162	6	3.1	3.1	NUM
ijassa-1217	162	7	will	will	AUX
ijassa-1217	162	8	be	be	AUX
ijassa-1217	162	9	abbreviated	abbreviate	VERB
ijassa-1217	162	10	as	as	ADP
ijassa-1217	162	11	sqp	sqp	PROPN
ijassa-1217	162	12	-	-	PUNCT
ijassa-1217	162	13	mh	mh	PROPN
ijassa-1217	162	14	,	,	PUNCT
ijassa-1217	162	15	while	while	SCONJ
ijassa-1217	162	16	its	its	PRON
ijassa-1217	162	17	variant	variant	NOUN
ijassa-1217	162	18	supplied	supply	VERB
ijassa-1217	162	19	with	with	ADP
ijassa-1217	162	20	extrapolation	extrapolation	NOUN
ijassa-1217	162	21	,	,	PUNCT
ijassa-1217	162	22	and	and	CCONJ
ijassa-1217	162	23	hence	hence	ADV
ijassa-1217	162	24	,	,	PUNCT
ijassa-1217	162	25	generating	generate	VERB
ijassa-1217	162	26	an	an	DET
ijassa-1217	162	27	auxiliary	auxiliary	ADJ
ijassa-1217	162	28	sequence	sequence	NOUN
ijassa-1217	162	29	{	{	PUNCT
ijassa-1217	162	30	ûk	ûk	PROPN
ijassa-1217	162	31	}	}	PUNCT
ijassa-1217	162	32	according	accord	VERB
ijassa-1217	162	33	to	to	ADP
ijassa-1217	162	34	(	(	PUNCT
ijassa-1217	162	35	2.6	2.6	NUM
ijassa-1217	162	36	)	)	PUNCT
ijassa-1217	162	37	,	,	PUNCT
ijassa-1217	162	38	will	will	AUX
ijassa-1217	162	39	be	be	AUX
ijassa-1217	162	40	abbreviated	abbreviate	VERB
ijassa-1217	162	41	as	as	ADP
ijassa-1217	162	42	sqp	sqp	PROPN
ijassa-1217	162	43	-	-	PUNCT
ijassa-1217	162	44	mh	mh	PROPN
ijassa-1217	162	45	-	-	PUNCT
ijassa-1217	162	46	ep	ep	PROPN
ijassa-1217	162	47	.	.	PUNCT
ijassa-1217	163	1	note	note	VERB
ijassa-1217	163	2	that	that	SCONJ
ijassa-1217	163	3	(	(	PUNCT
ijassa-1217	163	4	2.6	2.6	NUM
ijassa-1217	163	5	)	)	PUNCT
ijassa-1217	163	6	always	always	ADV
ijassa-1217	163	7	employs	employ	VERB
ijassa-1217	163	8	the	the	DET
ijassa-1217	163	9	direction	direction	NOUN
ijassa-1217	163	10	vk	vk	NOUN
ijassa-1217	163	11	obtained	obtain	VERB
ijassa-1217	163	12	by	by	ADP
ijassa-1217	163	13	the	the	DET
ijassa-1217	163	14	basic	basic	ADJ
ijassa-1217	163	15	choice	choice	NOUN
ijassa-1217	163	16	of	of	ADP
ijassa-1217	163	17	hk	hk	PROPN
ijassa-1217	163	18	specified	specify	VERB
ijassa-1217	163	19	in	in	ADP
ijassa-1217	163	20	(	(	PUNCT
ijassa-1217	163	21	3.21	3.21	NUM
ijassa-1217	163	22	)	)	PUNCT
ijassa-1217	163	23	.	.	PUNCT
ijassa-1217	164	1	if	if	SCONJ
ijassa-1217	164	2	for	for	SCONJ
ijassa-1217	164	3	some	some	DET
ijassa-1217	164	4	k	k	PROPN
ijassa-1217	164	5	such	such	ADJ
ijassa-1217	164	6	vk	vk	NOUN
ijassa-1217	164	7	can	can	AUX
ijassa-1217	164	8	not	not	PART
ijassa-1217	164	9	be	be	AUX
ijassa-1217	164	10	defined	define	VERB
ijassa-1217	164	11	,	,	PUNCT
ijassa-1217	164	12	we	we	PRON
ijassa-1217	164	13	put	put	VERB
ijassa-1217	164	14	ûk+1	ûk+1	ADP
ijassa-1217	164	15	=	=	PUNCT
ijassa-1217	164	16	uk+1	uk+1	NOUN
ijassa-1217	164	17	.	.	PROPN
ijassa-1217	164	18	instead	instead	ADV
ijassa-1217	164	19	of	of	ADP
ijassa-1217	164	20	modifying	modify	VERB
ijassa-1217	164	21	the	the	DET
ijassa-1217	164	22	hessian	hessian	NOUN
ijassa-1217	164	23	of	of	ADP
ijassa-1217	164	24	the	the	DET
ijassa-1217	164	25	lagrangian	lagrangian	ADJ
ijassa-1217	164	26	,	,	PUNCT
ijassa-1217	164	27	possible	possible	ADJ
ijassa-1217	164	28	lack	lack	NOUN
ijassa-1217	164	29	of	of	ADP
ijassa-1217	164	30	positive	positive	ADJ
ijassa-1217	164	31	definiteness	definiteness	NOUN
ijassa-1217	164	32	of	of	ADP
ijassa-1217	164	33	the	the	DET
ijassa-1217	164	34	true	true	ADJ
ijassa-1217	164	35	hessian	hessian	NOUN
ijassa-1217	164	36	can	can	AUX
ijassa-1217	164	37	be	be	AUX
ijassa-1217	164	38	tackled	tackle	VERB
ijassa-1217	164	39	by	by	ADP
ijassa-1217	164	40	defining	define	VERB
ijassa-1217	164	41	hk	hk	PROPN
ijassa-1217	164	42	as	as	ADP
ijassa-1217	164	43	quasi	quasi	ADJ
ijassa-1217	164	44	-	-	PROPN
ijassa-1217	164	45	newton	newton	PROPN
ijassa-1217	164	46	approximations	approximation	NOUN
ijassa-1217	164	47	of	of	ADP
ijassa-1217	164	48	the	the	DET
ijassa-1217	164	49	hessian	hessian	NOUN
ijassa-1217	164	50	.	.	PUNCT
ijassa-1217	165	1	a	a	DET
ijassa-1217	165	2	standard	standard	ADJ
ijassa-1217	165	3	choice	choice	NOUN
ijassa-1217	165	4	adopted	adopt	VERB
ijassa-1217	165	5	here	here	ADV
ijassa-1217	165	6	consists	consist	VERB
ijassa-1217	165	7	of	of	ADP
ijassa-1217	165	8	using	use	VERB
ijassa-1217	165	9	bfgs	bfgs	ADJ
ijassa-1217	165	10	approximations	approximation	NOUN
ijassa-1217	165	11	complemented	complement	VERB
ijassa-1217	165	12	by	by	ADP
ijassa-1217	165	13	powell	powell	PROPN
ijassa-1217	165	14	’s	’s	PART
ijassa-1217	165	15	correction	correction	NOUN
ijassa-1217	165	16	at	at	ADP
ijassa-1217	165	17	step	step	NOUN
ijassa-1217	165	18	1	1	NUM
ijassa-1217	165	19	of	of	ADP
ijassa-1217	165	20	algorithm	algorithm	NOUN
ijassa-1217	165	21	3.1	3.1	NUM
ijassa-1217	165	22	instead	instead	ADV
ijassa-1217	165	23	of	of	ADP
ijassa-1217	165	24	(	(	PUNCT
ijassa-1217	165	25	3.21	3.21	NUM
ijassa-1217	165	26	)	)	PUNCT
ijassa-1217	165	27	;	;	PUNCT
ijassa-1217	165	28	see	see	VERB
ijassa-1217	165	29	[	[	X
ijassa-1217	165	30	18	18	NUM
ijassa-1217	165	31	,	,	PUNCT
ijassa-1217	165	32	section	section	NOUN
ijassa-1217	165	33	4.1	4.1	NUM
ijassa-1217	165	34	]	]	PUNCT
ijassa-1217	165	35	for	for	ADP
ijassa-1217	165	36	details	detail	NOUN
ijassa-1217	165	37	.	.	PUNCT
ijassa-1217	166	1	furthermore	furthermore	ADV
ijassa-1217	166	2	,	,	PUNCT
ijassa-1217	166	3	in	in	ADP
ijassa-1217	166	4	the	the	DET
ijassa-1217	166	5	resulting	result	VERB
ijassa-1217	166	6	algorithm	algorithm	NOUN
ijassa-1217	166	7	abbreviated	abbreviate	VERB
ijassa-1217	166	8	as	as	ADP
ijassa-1217	166	9	sqp	sqp	NOUN
ijassa-1217	166	10	-	-	PUNCT
ijassa-1217	166	11	bfgs	bfgs	ADJ
ijassa-1217	166	12	,	,	PUNCT
ijassa-1217	166	13	steps	step	NOUN
ijassa-1217	166	14	4	4	NUM
ijassa-1217	166	15	and	and	CCONJ
ijassa-1217	166	16	5	5	NUM
ijassa-1217	166	17	of	of	ADP
ijassa-1217	166	18	algorithm	algorithm	NOUN
ijassa-1217	166	19	3.1	3.1	NUM
ijassa-1217	166	20	are	be	AUX
ijassa-1217	166	21	dropped	drop	VERB
ijassa-1217	166	22	,	,	PUNCT
ijassa-1217	166	23	and	and	CCONJ
ijassa-1217	166	24	the	the	DET
ijassa-1217	166	25	stepsize	stepsize	NOUN
ijassa-1217	166	26	parameter	parameter	NOUN
ijassa-1217	166	27	is	be	AUX
ijassa-1217	166	28	used	use	VERB
ijassa-1217	166	29	for	for	ADP
ijassa-1217	166	30	primal	primal	ADJ
ijassa-1217	166	31	updates	update	NOUN
ijassa-1217	166	32	only	only	ADV
ijassa-1217	166	33	,	,	PUNCT
ijassa-1217	166	34	i.e.	i.e.	X
ijassa-1217	166	35	,	,	PUNCT
ijassa-1217	166	36	λk+1	λk+1	PROPN
ijassa-1217	166	37	=	=	PUNCT
ijassa-1217	166	38	λk	λk	PROPN
ijassa-1217	167	1	+	+	CCONJ
ijassa-1217	167	2	ηk	ηk	X
ijassa-1217	167	3	and	and	CCONJ
ijassa-1217	167	4	µk+1	µk+1	ADP
ijassa-1217	167	5	=	=	SYM
ijassa-1217	167	6	µk	µk	PROPN
ijassa-1217	167	7	+	+	X
ijassa-1217	167	8	ζk	ζk	NOUN
ijassa-1217	167	9	.	.	PUNCT
ijassa-1217	168	1	the	the	DET
ijassa-1217	168	2	parameter	parameter	NOUN
ijassa-1217	168	3	values	value	NOUN
ijassa-1217	168	4	used	use	VERB
ijassa-1217	168	5	in	in	ADP
ijassa-1217	168	6	our	our	PRON
ijassa-1217	168	7	computations	computation	NOUN
ijassa-1217	168	8	were	be	AUX
ijassa-1217	168	9	as	as	SCONJ
ijassa-1217	168	10	follows	follow	VERB
ijassa-1217	168	11	:	:	PUNCT
ijassa-1217	169	1	c̄	c̄	PROPN
ijassa-1217	169	2	=	=	SYM
ijassa-1217	169	3	c̃	c̃	PROPN
ijassa-1217	169	4	=	=	SYM
ijassa-1217	169	5	1	1	NUM
ijassa-1217	169	6	,	,	PUNCT
ijassa-1217	169	7	ρ	ρ	PROPN
ijassa-1217	169	8	=	=	SYM
ijassa-1217	169	9	10−9	10−9	NUM
ijassa-1217	169	10	,	,	PUNCT
ijassa-1217	169	11	σ	σ	NOUN
ijassa-1217	169	12	=	=	NOUN
ijassa-1217	169	13	0.01	0.01	NUM
ijassa-1217	169	14	,	,	PUNCT
ijassa-1217	169	15	θ	θ	X
ijassa-1217	169	16	=	=	SYM
ijassa-1217	169	17	0.5	0.5	NUM
ijassa-1217	169	18	.	.	PUNCT
ijassa-1217	170	1	furthermore	furthermore	ADV
ijassa-1217	170	2	,	,	PUNCT
ijassa-1217	170	3	we	we	PRON
ijassa-1217	170	4	adopted	adopt	VERB
ijassa-1217	170	5	the	the	DET
ijassa-1217	170	6	following	follow	VERB
ijassa-1217	170	7	rule	rule	NOUN
ijassa-1217	170	8	for	for	ADP
ijassa-1217	170	9	controlling	control	VERB
ijassa-1217	170	10	τk	τk	ADP
ijassa-1217	170	11	at	at	ADP
ijassa-1217	170	12	step	step	NOUN
ijassa-1217	170	13	5	5	NUM
ijassa-1217	170	14	of	of	ADP
ijassa-1217	170	15	algorithm	algorithm	NOUN
ijassa-1217	170	16	3.1	3.1	NUM
ijassa-1217	170	17	:	:	PUNCT
ijassa-1217	170	18	for	for	ADP
ijassa-1217	170	19	every	every	DET
ijassa-1217	170	20	given	give	VERB
ijassa-1217	170	21	k	k	NOUN
ijassa-1217	170	22	,	,	PUNCT
ijassa-1217	170	23	when	when	SCONJ
ijassa-1217	170	24	step	step	NOUN
ijassa-1217	170	25	5	5	NUM
ijassa-1217	170	26	is	be	AUX
ijassa-1217	170	27	invoked	invoke	VERB
ijassa-1217	170	28	for	for	ADP
ijassa-1217	170	29	the	the	DET
ijassa-1217	170	30	first	first	ADJ
ijassa-1217	170	31	time	time	NOUN
ijassa-1217	170	32	,	,	PUNCT
ijassa-1217	170	33	we	we	PRON
ijassa-1217	170	34	set	set	VERB
ijassa-1217	170	35	τk	τk	ADP
ijassa-1217	170	36	=	=	ADJ
ijassa-1217	170	37	1	1	NUM
ijassa-1217	170	38	,	,	PUNCT
ijassa-1217	170	39	and	and	CCONJ
ijassa-1217	170	40	then	then	ADV
ijassa-1217	170	41	multiply	multiply	VERB
ijassa-1217	170	42	it	it	PRON
ijassa-1217	170	43	by	by	ADP
ijassa-1217	170	44	2	2	NUM
ijassa-1217	170	45	every	every	DET
ijassa-1217	170	46	next	next	ADJ
ijassa-1217	170	47	time	time	NOUN
ijassa-1217	170	48	algorithm	algorithm	PROPN
ijassa-1217	170	49	3.1	3.1	NUM
ijassa-1217	170	50	invokes	invoke	VERB
ijassa-1217	170	51	step	step	NOUN
ijassa-1217	170	52	5	5	NUM
ijassa-1217	170	53	.	.	PUNCT
ijassa-1217	171	1	runs	run	NOUN
ijassa-1217	171	2	of	of	ADP
ijassa-1217	171	3	algorithms	algorithm	NOUN
ijassa-1217	171	4	sqp	sqp	PROPN
ijassa-1217	171	5	-	-	PUNCT
ijassa-1217	171	6	bfgs	bfgs	ADJ
ijassa-1217	171	7	and	and	CCONJ
ijassa-1217	171	8	sqp	sqp	PROPN
ijassa-1217	171	9	-	-	PUNCT
ijassa-1217	171	10	mh	mh	PROPN
ijassa-1217	171	11	were	be	AUX
ijassa-1217	171	12	terminated	terminate	VERB
ijassa-1217	171	13	with	with	ADP
ijassa-1217	171	14	success	success	NOUN
ijassa-1217	171	15	if	if	SCONJ
ijassa-1217	171	16	a	a	DET
ijassa-1217	171	17	newly	newly	ADV
ijassa-1217	171	18	generated	generate	VERB
ijassa-1217	171	19	iterate	iterate	NOUN
ijassa-1217	171	20	uk	uk	PROPN
ijassa-1217	171	21	satisfied	satisfy	VERB
ijassa-1217	171	22	‖φ(uk)‖	‖φ(uk)‖	ADJ
ijassa-1217	171	23	≤	≤	NOUN
ijassa-1217	171	24	10−6	10−6	NUM
ijassa-1217	171	25	.	.	PUNCT
ijassa-1217	172	1	(	(	PUNCT
ijassa-1217	172	2	4.27	4.27	NUM
ijassa-1217	172	3	)	)	PUNCT
ijassa-1217	172	4	for	for	ADP
ijassa-1217	172	5	sqp	sqp	PROPN
ijassa-1217	172	6	-	-	PUNCT
ijassa-1217	172	7	mh	mh	PROPN
ijassa-1217	172	8	-	-	PUNCT
ijassa-1217	172	9	ep	ep	PROPN
ijassa-1217	172	10	,	,	PUNCT
ijassa-1217	172	11	for	for	ADP
ijassa-1217	172	12	every	every	DET
ijassa-1217	172	13	k	k	NOUN
ijassa-1217	172	14	=	=	SYM
ijassa-1217	172	15	1	1	NUM
ijassa-1217	172	16	,	,	PUNCT
ijassa-1217	172	17	2	2	NUM
ijassa-1217	172	18	,	,	PUNCT
ijassa-1217	172	19	.	.	PUNCT
ijassa-1217	172	20	.	.	PUNCT
ijassa-1217	172	21	.	.	PUNCT
ijassa-1217	173	1	we	we	PRON
ijassa-1217	173	2	first	first	PROPN
ijassa-1217	173	3	compute	compute	PROPN
ijassa-1217	173	4	ûk	ûk	PROPN
ijassa-1217	173	5	,	,	PUNCT
ijassa-1217	173	6	and	and	CCONJ
ijassa-1217	173	7	terminate	terminate	VERB
ijassa-1217	173	8	the	the	DET
ijassa-1217	173	9	run	run	NOUN
ijassa-1217	173	10	with	with	ADP
ijassa-1217	173	11	success	success	NOUN
ijassa-1217	173	12	if	if	SCONJ
ijassa-1217	173	13	‖φ(ûk)‖	‖φ(ûk)‖	VERB
ijassa-1217	173	14	≤	≤	NOUN
ijassa-1217	173	15	10−6	10−6	NUM
ijassa-1217	173	16	;	;	PUNCT
ijassa-1217	173	17	(	(	PUNCT
ijassa-1217	173	18	4.28	4.28	NUM
ijassa-1217	173	19	)	)	PUNCT
ijassa-1217	173	20	otherwise	otherwise	ADV
ijassa-1217	173	21	,	,	PUNCT
ijassa-1217	173	22	we	we	PRON
ijassa-1217	173	23	proceed	proceed	VERB
ijassa-1217	173	24	with	with	ADP
ijassa-1217	173	25	computing	compute	VERB
ijassa-1217	173	26	uk	uk	PROPN
ijassa-1217	173	27	and	and	CCONJ
ijassa-1217	173	28	verifying	verifying	NOUN
ijassa-1217	173	29	(	(	PUNCT
ijassa-1217	173	30	4.27	4.27	NUM
ijassa-1217	173	31	)	)	PUNCT
ijassa-1217	173	32	.	.	PUNCT
ijassa-1217	174	1	when	when	SCONJ
ijassa-1217	174	2	successful	successful	ADJ
ijassa-1217	174	3	termination	termination	NOUN
ijassa-1217	174	4	did	do	AUX
ijassa-1217	174	5	not	not	PART
ijassa-1217	174	6	occur	occur	VERB
ijassa-1217	174	7	after	after	ADP
ijassa-1217	174	8	200	200	NUM
ijassa-1217	174	9	iterations	iteration	NOUN
ijassa-1217	174	10	,	,	PUNCT
ijassa-1217	174	11	or	or	CCONJ
ijassa-1217	174	12	the	the	DET
ijassa-1217	174	13	backtracking	backtrack	VERB
ijassa-1217	174	14	procedure	procedure	NOUN
ijassa-1217	174	15	at	at	ADP
ijassa-1217	174	16	step	step	NOUN
ijassa-1217	174	17	6	6	NUM
ijassa-1217	174	18	of	of	ADP
ijassa-1217	174	19	algorithm	algorithm	NOUN
ijassa-1217	174	20	3.1	3.1	NUM
ijassa-1217	174	21	produced	produce	VERB
ijassa-1217	174	22	a	a	DET
ijassa-1217	174	23	trial	trial	NOUN
ijassa-1217	174	24	value	value	NOUN
ijassa-1217	174	25	α	α	NOUN
ijassa-1217	174	26	such	such	ADJ
ijassa-1217	174	27	that	that	SCONJ
ijassa-1217	174	28	α‖vk‖	α‖vk‖	ADJ
ijassa-1217	174	29	≤	≤	NOUN
ijassa-1217	174	30	10−10	10−10	NUM
ijassa-1217	174	31	,	,	PUNCT
ijassa-1217	174	32	the	the	DET
ijassa-1217	174	33	process	process	NOUN
ijassa-1217	174	34	was	be	AUX
ijassa-1217	174	35	terminated	terminate	VERB
ijassa-1217	174	36	with	with	ADP
ijassa-1217	174	37	failure	failure	NOUN
ijassa-1217	174	38	.	.	PUNCT
ijassa-1217	175	1	the	the	DET
ijassa-1217	175	2	experiments	experiment	NOUN
ijassa-1217	175	3	were	be	AUX
ijassa-1217	175	4	performed	perform	VERB
ijassa-1217	175	5	in	in	ADP
ijassa-1217	175	6	matlab	matlab	PROPN
ijassa-1217	175	7	environment	environment	PROPN
ijassa-1217	175	8	,	,	PUNCT
ijassa-1217	175	9	with	with	SCONJ
ijassa-1217	175	10	path	path	NOUN
ijassa-1217	175	11	solver	solver	ADV
ijassa-1217	176	1	[	[	X
ijassa-1217	176	2	3	3	NUM
ijassa-1217	176	3	,	,	PUNCT
ijassa-1217	176	4	4	4	NUM
ijassa-1217	176	5	]	]	PUNCT
ijassa-1217	176	6	used	use	VERB
ijassa-1217	176	7	for	for	ADP
ijassa-1217	176	8	quadratic	quadratic	ADJ
ijassa-1217	176	9	programming	programming	NOUN
ijassa-1217	176	10	subproblems	subproblem	NOUN
ijassa-1217	176	11	.	.	PUNCT
ijassa-1217	177	1	problem	problem	NOUN
ijassa-1217	177	2	instances	instance	NOUN
ijassa-1217	177	3	for	for	ADP
ijassa-1217	177	4	the	the	DET
ijassa-1217	177	5	experiments	experiment	NOUN
ijassa-1217	177	6	were	be	AUX
ijassa-1217	177	7	taken	take	VERB
ijassa-1217	177	8	from	from	ADP
ijassa-1217	177	9	degen	degen	NOUN
ijassa-1217	177	10	test	test	NOUN
ijassa-1217	177	11	collection	collection	NOUN
ijassa-1217	177	12	[	[	X
ijassa-1217	177	13	13	13	NUM
ijassa-1217	177	14	]	]	PUNCT
ijassa-1217	177	15	that	that	PRON
ijassa-1217	177	16	contains	contain	VERB
ijassa-1217	177	17	optimization	optimization	NOUN
ijassa-1217	177	18	problems	problem	NOUN
ijassa-1217	177	19	with	with	ADP
ijassa-1217	177	20	constraints	constraint	NOUN
ijassa-1217	177	21	violating	violate	VERB
ijassa-1217	177	22	licq	licq	NOUN
ijassa-1217	177	23	.	.	PUNCT
ijassa-1217	178	1	we	we	PRON
ijassa-1217	178	2	employed	employ	VERB
ijassa-1217	178	3	all	all	DET
ijassa-1217	178	4	problems	problem	NOUN
ijassa-1217	178	5	from	from	ADP
ijassa-1217	178	6	degen	degen	NOUN
ijassa-1217	178	7	involving	involve	VERB
ijassa-1217	178	8	inequality	inequality	NOUN
ijassa-1217	178	9	-	-	PUNCT
ijassa-1217	178	10	constraints	constraint	NOUN
ijassa-1217	178	11	(	(	PUNCT
ijassa-1217	178	12	numerical	numerical	ADJ
ijassa-1217	178	13	results	result	NOUN
ijassa-1217	178	14	for	for	ADP
ijassa-1217	178	15	purely	purely	ADV
ijassa-1217	178	16	equality	equality	NOUN
ijassa-1217	178	17	-	-	PUNCT
ijassa-1217	178	18	constrained	constrain	VERB
ijassa-1217	178	19	problems	problem	NOUN
ijassa-1217	178	20	can	can	AUX
ijassa-1217	178	21	be	be	AUX
ijassa-1217	178	22	found	find	VERB
ijassa-1217	178	23	in	in	ADP
ijassa-1217	178	24	[	[	X
ijassa-1217	178	25	10	10	NUM
ijassa-1217	178	26	]	]	NUM
ijassa-1217	178	27	)	)	PUNCT
ijassa-1217	178	28	,	,	PUNCT
ijassa-1217	178	29	except	except	SCONJ
ijassa-1217	178	30	for	for	ADP
ijassa-1217	178	31	those	those	PRON
ijassa-1217	178	32	where	where	SCONJ
ijassa-1217	178	33	the	the	DET
ijassa-1217	178	34	solutions	solution	NOUN
ijassa-1217	178	35	of	of	ADP
ijassa-1217	178	36	interest	interest	NOUN
ijassa-1217	178	37	is	be	AUX
ijassa-1217	178	38	not	not	PART
ijassa-1217	178	39	a	a	DET
ijassa-1217	178	40	stationary	stationary	ADJ
ijassa-1217	178	41	point	point	NOUN
ijassa-1217	178	42	(	(	PUNCT
ijassa-1217	178	43	problems	problem	NOUN
ijassa-1217	178	44	20112	20112	NUM
ijassa-1217	178	45	,	,	PUNCT
ijassa-1217	178	46	20220	20220	NUM
ijassa-1217	178	47	,	,	PUNCT
ijassa-1217	178	48	20224	20224	NUM
ijassa-1217	178	49	,	,	PUNCT
ijassa-1217	178	50	30212	30212	NUM
ijassa-1217	178	51	and	and	CCONJ
ijassa-1217	178	52	30302	30302	NUM
ijassa-1217	178	53	)	)	PUNCT
ijassa-1217	178	54	.	.	PUNCT
ijassa-1217	179	1	this	this	PRON
ijassa-1217	179	2	leaves	leave	VERB
ijassa-1217	179	3	59	59	NUM
ijassa-1217	179	4	test	test	NOUN
ijassa-1217	179	5	problems	problem	NOUN
ijassa-1217	179	6	.	.	PUNCT
ijassa-1217	180	1	for	for	ADP
ijassa-1217	180	2	each	each	PRON
ijassa-1217	180	3	of	of	ADP
ijassa-1217	180	4	those	those	DET
ijassa-1217	180	5	problems	problem	NOUN
ijassa-1217	180	6	,	,	PUNCT
ijassa-1217	180	7	all	all	DET
ijassa-1217	180	8	algorithms	algorithm	NOUN
ijassa-1217	180	9	being	be	AUX
ijassa-1217	180	10	tested	test	VERB
ijassa-1217	180	11	were	be	AUX
ijassa-1217	180	12	initialized	initialize	VERB
ijassa-1217	180	13	at	at	ADP
ijassa-1217	180	14	the	the	DET
ijassa-1217	180	15	same	same	ADJ
ijassa-1217	180	16	100	100	NUM
ijassa-1217	180	17	starting	starting	NOUN
ijassa-1217	180	18	points	point	NOUN
ijassa-1217	180	19	u0	u0	ADJ
ijassa-1217	180	20	=	=	X
ijassa-1217	180	21	(	(	PUNCT
ijassa-1217	180	22	x0	x0	PROPN
ijassa-1217	180	23	,	,	PUNCT
ijassa-1217	180	24	λ0	λ0	NOUN
ijassa-1217	180	25	,	,	PUNCT
ijassa-1217	180	26	µ0	µ0	NOUN
ijassa-1217	180	27	)	)	PUNCT
ijassa-1217	180	28	generated	generate	VERB
ijassa-1217	180	29	randomly	randomly	ADV
ijassa-1217	180	30	in	in	ADP
ijassa-1217	180	31	the	the	DET
ijassa-1217	180	32	l∞-ball	l∞-ball	NOUN
ijassa-1217	180	33	of	of	ADP
ijassa-1217	180	34	radius	radius	NOUN
ijassa-1217	180	35	100	100	NUM
ijassa-1217	180	36	,	,	PUNCT
ijassa-1217	180	37	centered	center	VERB
ijassa-1217	180	38	at	at	ADP
ijassa-1217	180	39	the	the	DET
ijassa-1217	180	40	primal	primal	ADJ
ijassa-1217	180	41	solution	solution	NOUN
ijassa-1217	180	42	of	of	ADP
ijassa-1217	180	43	interest	interest	NOUN
ijassa-1217	180	44	(	(	PUNCT
ijassa-1217	180	45	reported	report	VERB
ijassa-1217	180	46	in	in	ADP
ijassa-1217	180	47	degen	degen	NOUN
ijassa-1217	180	48	)	)	PUNCT
ijassa-1217	180	49	for	for	ADP
ijassa-1217	180	50	the	the	DET
ijassa-1217	180	51	primal	primal	ADJ
ijassa-1217	180	52	part	part	NOUN
ijassa-1217	180	53	x0	x0	PROPN
ijassa-1217	180	54	,	,	PUNCT
ijassa-1217	180	55	and	and	CCONJ
ijassa-1217	180	56	at	at	ADP
ijassa-1217	180	57	(	(	PUNCT
ijassa-1217	180	58	0	0	NUM
ijassa-1217	180	59	,	,	PUNCT
ijassa-1217	180	60	0	0	NUM
ijassa-1217	180	61	)	)	PUNCT
ijassa-1217	180	62	for	for	ADP
ijassa-1217	180	63	the	the	DET
ijassa-1217	180	64	dual	dual	ADJ
ijassa-1217	180	65	part	part	NOUN
ijassa-1217	180	66	(	(	PUNCT
ijassa-1217	180	67	λ0	λ0	NOUN
ijassa-1217	180	68	,	,	PUNCT
ijassa-1217	180	69	µ0	µ0	NOUN
ijassa-1217	180	70	)	)	PUNCT
ijassa-1217	180	71	,	,	PUNCT
ijassa-1217	180	72	with	with	ADP
ijassa-1217	180	73	the	the	DET
ijassa-1217	180	74	additional	additional	ADJ
ijassa-1217	180	75	nonnegativity	nonnegativity	NOUN
ijassa-1217	180	76	restriction	restriction	NOUN
ijassa-1217	180	77	on	on	ADP
ijassa-1217	180	78	µ0	µ0	NOUN
ijassa-1217	180	79	.	.	PUNCT
ijassa-1217	181	1	copyright	copyright	NOUN
ijassa-1217	181	2	©	©	ADP
ijassa-1217	181	3	2022	2022	NUM
ijassa-1217	181	4	assa	assa	NOUN
ijassa-1217	181	5	.	.	PUNCT
ijassa-1217	182	1	adv	adv	PROPN
ijassa-1217	182	2	syst	syst	PROPN
ijassa-1217	182	3	sci	sci	PROPN
ijassa-1217	182	4	appl	appl	PROPN
ijassa-1217	182	5	(	(	PUNCT
ijassa-1217	182	6	2022	2022	NUM
ijassa-1217	182	7	)	)	PUNCT
ijassa-1217	182	8	accelerating	accelerate	VERB
ijassa-1217	182	9	sequential	sequential	ADJ
ijassa-1217	182	10	quadratic	quadratic	ADJ
ijassa-1217	182	11	programming	programming	NOUN
ijassa-1217	182	12	for	for	ADP
ijassa-1217	182	13	inequality	inequality	NOUN
ijassa-1217	182	14	-	-	PUNCT
ijassa-1217	182	15	constrained	constrain	VERB
ijassa-1217	182	16	81	81	NUM
ijassa-1217	182	17	as	as	ADP
ijassa-1217	182	18	measures	measure	NOUN
ijassa-1217	182	19	of	of	ADP
ijassa-1217	182	20	efficiency	efficiency	NOUN
ijassa-1217	182	21	,	,	PUNCT
ijassa-1217	182	22	we	we	PRON
ijassa-1217	182	23	used	use	VERB
ijassa-1217	182	24	the	the	DET
ijassa-1217	182	25	average	average	ADJ
ijassa-1217	182	26	number	number	NOUN
ijassa-1217	182	27	of	of	ADP
ijassa-1217	182	28	quadratic	quadratic	ADJ
ijassa-1217	182	29	programming	programming	NOUN
ijassa-1217	182	30	subproblems	subproblem	NOUN
ijassa-1217	182	31	solved	solve	VERB
ijassa-1217	182	32	and	and	CCONJ
ijassa-1217	182	33	the	the	DET
ijassa-1217	182	34	average	average	ADJ
ijassa-1217	182	35	number	number	NOUN
ijassa-1217	182	36	of	of	ADP
ijassa-1217	182	37	evaluations	evaluation	NOUN
ijassa-1217	182	38	of	of	ADP
ijassa-1217	182	39	the	the	DET
ijassa-1217	182	40	objective	objective	ADJ
ijassa-1217	182	41	function	function	NOUN
ijassa-1217	182	42	,	,	PUNCT
ijassa-1217	182	43	constraint	constraint	NOUN
ijassa-1217	182	44	mappings	mapping	NOUN
ijassa-1217	182	45	,	,	PUNCT
ijassa-1217	182	46	and	and	CCONJ
ijassa-1217	182	47	their	their	PRON
ijassa-1217	182	48	derivatives	derivative	NOUN
ijassa-1217	182	49	,	,	PUNCT
ijassa-1217	182	50	per	per	ADP
ijassa-1217	182	51	one	one	NUM
ijassa-1217	182	52	successful	successful	ADJ
ijassa-1217	182	53	run	run	NOUN
ijassa-1217	182	54	.	.	PUNCT
ijassa-1217	183	1	these	these	DET
ijassa-1217	183	2	results	result	NOUN
ijassa-1217	183	3	are	be	AUX
ijassa-1217	183	4	presented	present	VERB
ijassa-1217	183	5	in	in	ADP
ijassa-1217	183	6	the	the	DET
ijassa-1217	183	7	form	form	NOUN
ijassa-1217	183	8	of	of	ADP
ijassa-1217	183	9	performance	performance	NOUN
ijassa-1217	183	10	profiles	profile	NOUN
ijassa-1217	183	11	[	[	X
ijassa-1217	183	12	2	2	NUM
ijassa-1217	183	13	]	]	PUNCT
ijassa-1217	183	14	.	.	PUNCT
ijassa-1217	184	1	for	for	ADP
ijassa-1217	184	2	degen	degen	NOUN
ijassa-1217	184	3	test	test	NOUN
ijassa-1217	184	4	set	set	NOUN
ijassa-1217	184	5	,	,	PUNCT
ijassa-1217	184	6	we	we	PRON
ijassa-1217	184	7	employed	employ	VERB
ijassa-1217	184	8	a	a	DET
ijassa-1217	184	9	modified	modify	VERB
ijassa-1217	184	10	construction	construction	NOUN
ijassa-1217	184	11	of	of	ADP
ijassa-1217	184	12	performance	performance	NOUN
ijassa-1217	184	13	profiles	profile	NOUN
ijassa-1217	184	14	,	,	PUNCT
ijassa-1217	184	15	intended	intend	VERB
ijassa-1217	184	16	for	for	ADP
ijassa-1217	184	17	the	the	DET
ijassa-1217	184	18	case	case	NOUN
ijassa-1217	184	19	of	of	ADP
ijassa-1217	184	20	multiple	multiple	ADJ
ijassa-1217	184	21	runs	run	NOUN
ijassa-1217	184	22	for	for	ADP
ijassa-1217	184	23	each	each	DET
ijassa-1217	184	24	test	test	NOUN
ijassa-1217	184	25	problems	problem	NOUN
ijassa-1217	184	26	;	;	PUNCT
ijassa-1217	184	27	see	see	VERB
ijassa-1217	184	28	[	[	X
ijassa-1217	184	29	21	21	NUM
ijassa-1217	184	30	]	]	PUNCT
ijassa-1217	184	31	for	for	ADP
ijassa-1217	184	32	details	detail	NOUN
ijassa-1217	184	33	.	.	PUNCT
ijassa-1217	185	1	2	2	NUM
ijassa-1217	185	2	4	4	NUM
ijassa-1217	185	3	6	6	NUM
ijassa-1217	185	4	8	8	NUM
ijassa-1217	185	5	10	10	NUM
ijassa-1217	185	6	12	12	NUM
ijassa-1217	185	7	14	14	NUM
ijassa-1217	185	8	16	16	NUM
ijassa-1217	185	9	18	18	NUM
ijassa-1217	185	10	20	20	NUM
ijassa-1217	185	11	22	22	NUM
ijassa-1217	185	12	0	0	NUM
ijassa-1217	185	13	0.2	0.2	NUM
ijassa-1217	185	14	0.4	0.4	NUM
ijassa-1217	185	15	0.6	0.6	NUM
ijassa-1217	185	16	0.8	0.8	NUM
ijassa-1217	185	17	1	1	NUM
ijassa-1217	185	18	sqp	sqp	PROPN
ijassa-1217	185	19	-	-	PUNCT
ijassa-1217	185	20	mh	mh	PROPN
ijassa-1217	185	21	sqp	sqp	PROPN
ijassa-1217	185	22	-	-	PUNCT
ijassa-1217	185	23	mh	mh	PROPN
ijassa-1217	185	24	-	-	PUNCT
ijassa-1217	185	25	ep	ep	PROPN
ijassa-1217	185	26	bfgs	bfgs	PROPN
ijassa-1217	185	27	-	-	PUNCT
ijassa-1217	185	28	sqp	sqp	PROPN
ijassa-1217	185	29	(	(	PUNCT
ijassa-1217	185	30	a	a	PRON
ijassa-1217	185	31	)	)	PUNCT
ijassa-1217	185	32	performance	performance	NOUN
ijassa-1217	185	33	profile	profile	NOUN
ijassa-1217	185	34	1	1	NUM
ijassa-1217	185	35	1.5	1.5	NUM
ijassa-1217	185	36	2	2	NUM
ijassa-1217	185	37	2.5	2.5	NUM
ijassa-1217	185	38	3	3	NUM
ijassa-1217	185	39	3.5	3.5	NUM
ijassa-1217	185	40	4	4	NUM
ijassa-1217	185	41	4.5	4.5	NUM
ijassa-1217	185	42	5	5	NUM
ijassa-1217	185	43	0	0	NUM
ijassa-1217	185	44	0.2	0.2	NUM
ijassa-1217	185	45	0.4	0.4	NUM
ijassa-1217	185	46	0.6	0.6	NUM
ijassa-1217	185	47	0.8	0.8	NUM
ijassa-1217	185	48	1	1	NUM
ijassa-1217	185	49	sqp	sqp	PROPN
ijassa-1217	185	50	-	-	PUNCT
ijassa-1217	185	51	mh	mh	PROPN
ijassa-1217	185	52	sqp	sqp	PROPN
ijassa-1217	185	53	-	-	PUNCT
ijassa-1217	185	54	mh	mh	PROPN
ijassa-1217	185	55	-	-	PUNCT
ijassa-1217	185	56	ep	ep	PROPN
ijassa-1217	185	57	(	(	PUNCT
ijassa-1217	185	58	b	b	NOUN
ijassa-1217	185	59	)	)	PUNCT
ijassa-1217	185	60	subproblems	subproblem	NOUN
ijassa-1217	185	61	per	per	ADP
ijassa-1217	185	62	iteration	iteration	NOUN
ijassa-1217	185	63	fig	fig	NOUN
ijassa-1217	185	64	.	.	PUNCT
ijassa-1217	186	1	4.1	4.1	NUM
ijassa-1217	186	2	.	.	PUNCT
ijassa-1217	186	3	subproblems	subproblem	NOUN
ijassa-1217	186	4	solved	solve	VERB
ijassa-1217	186	5	the	the	DET
ijassa-1217	186	6	performance	performance	NOUN
ijassa-1217	186	7	profile	profile	NOUN
ijassa-1217	186	8	in	in	ADP
ijassa-1217	186	9	figure	figure	NOUN
ijassa-1217	186	10	4.1a	4.1a	NOUN
ijassa-1217	186	11	demonstrates	demonstrate	VERB
ijassa-1217	186	12	that	that	SCONJ
ijassa-1217	186	13	sqp	sqp	PROPN
ijassa-1217	186	14	-	-	PUNCT
ijassa-1217	186	15	mh	mh	PROPN
ijassa-1217	186	16	-	-	PUNCT
ijassa-1217	186	17	ep	ep	PROPN
ijassa-1217	186	18	is	be	AUX
ijassa-1217	186	19	as	as	ADV
ijassa-1217	186	20	robust	robust	ADJ
ijassa-1217	186	21	as	as	ADP
ijassa-1217	186	22	sqp	sqp	PROPN
ijassa-1217	186	23	-	-	PUNCT
ijassa-1217	186	24	mh	mh	PROPN
ijassa-1217	186	25	,	,	PUNCT
ijassa-1217	186	26	somehow	somehow	ADV
ijassa-1217	186	27	more	more	ADV
ijassa-1217	186	28	robust	robust	ADJ
ijassa-1217	186	29	than	than	ADP
ijassa-1217	186	30	sqp	sqp	NOUN
ijassa-1217	186	31	-	-	PUNCT
ijassa-1217	186	32	bfgs	bfgs	ADJ
ijassa-1217	186	33	,	,	PUNCT
ijassa-1217	186	34	and	and	CCONJ
ijassa-1217	186	35	by	by	ADP
ijassa-1217	186	36	far	far	ADV
ijassa-1217	186	37	more	more	ADV
ijassa-1217	186	38	efficient	efficient	ADJ
ijassa-1217	186	39	than	than	ADP
ijassa-1217	186	40	both	both	PRON
ijassa-1217	186	41	by	by	ADP
ijassa-1217	186	42	the	the	DET
ijassa-1217	186	43	number	number	NOUN
ijassa-1217	186	44	of	of	ADP
ijassa-1217	186	45	quadratic	quadratic	ADJ
ijassa-1217	186	46	subproblems	subproblem	NOUN
ijassa-1217	186	47	solved	solve	VERB
ijassa-1217	186	48	per	per	ADP
ijassa-1217	186	49	a	a	DET
ijassa-1217	186	50	successful	successful	ADJ
ijassa-1217	186	51	run	run	NOUN
ijassa-1217	186	52	.	.	PUNCT
ijassa-1217	187	1	the	the	DET
ijassa-1217	187	2	effect	effect	NOUN
ijassa-1217	187	3	of	of	ADP
ijassa-1217	187	4	using	use	VERB
ijassa-1217	187	5	extrapolation	extrapolation	NOUN
ijassa-1217	187	6	is	be	AUX
ijassa-1217	187	7	achieved	achieve	VERB
ijassa-1217	187	8	because	because	SCONJ
ijassa-1217	187	9	the	the	DET
ijassa-1217	187	10	true	true	ADJ
ijassa-1217	187	11	hessian	hessian	NOUN
ijassa-1217	187	12	and	and	CCONJ
ijassa-1217	187	13	the	the	DET
ijassa-1217	187	14	unit	unit	NOUN
ijassa-1217	187	15	stepsize	stepsize	NOUN
ijassa-1217	187	16	are	be	AUX
ijassa-1217	187	17	typically	typically	ADV
ijassa-1217	187	18	asymptotically	asymptotically	ADV
ijassa-1217	187	19	accepted	accept	VERB
ijassa-1217	187	20	,	,	PUNCT
ijassa-1217	187	21	and	and	CCONJ
ijassa-1217	187	22	the	the	DET
ijassa-1217	187	23	set	set	NOUN
ijassa-1217	187	24	of	of	ADP
ijassa-1217	187	25	active	active	ADJ
ijassa-1217	187	26	constraints	constraint	NOUN
ijassa-1217	187	27	of	of	ADP
ijassa-1217	187	28	subproblems	subproblem	NOUN
ijassa-1217	187	29	asymptotically	asymptotically	ADV
ijassa-1217	187	30	stabilizes	stabilize	VERB
ijassa-1217	187	31	.	.	PUNCT
ijassa-1217	188	1	in	in	ADP
ijassa-1217	188	2	addition	addition	NOUN
ijassa-1217	188	3	,	,	PUNCT
ijassa-1217	188	4	the	the	DET
ijassa-1217	188	5	plots	plot	NOUN
ijassa-1217	188	6	in	in	ADP
ijassa-1217	188	7	figure	figure	NOUN
ijassa-1217	188	8	4.1b	4.1b	NUM
ijassa-1217	188	9	show	show	NOUN
ijassa-1217	188	10	which	which	DET
ijassa-1217	188	11	portion	portion	NOUN
ijassa-1217	188	12	of	of	ADP
ijassa-1217	188	13	problems	problem	NOUN
ijassa-1217	188	14	required	require	VERB
ijassa-1217	188	15	solving	solve	VERB
ijassa-1217	188	16	no	no	PRON
ijassa-1217	188	17	more	more	ADJ
ijassa-1217	188	18	than	than	ADP
ijassa-1217	188	19	a	a	DET
ijassa-1217	188	20	given	give	VERB
ijassa-1217	188	21	number	number	NOUN
ijassa-1217	188	22	of	of	ADP
ijassa-1217	188	23	quadratic	quadratic	ADJ
ijassa-1217	188	24	subproblems	subproblem	NOUN
ijassa-1217	188	25	per	per	ADP
ijassa-1217	188	26	iteration	iteration	NOUN
ijassa-1217	188	27	on	on	ADP
ijassa-1217	188	28	the	the	DET
ijassa-1217	188	29	average	average	NOUN
ijassa-1217	188	30	.	.	PUNCT
ijassa-1217	189	1	it	it	PRON
ijassa-1217	189	2	can	can	AUX
ijassa-1217	189	3	be	be	AUX
ijassa-1217	189	4	seen	see	VERB
ijassa-1217	189	5	that	that	SCONJ
ijassa-1217	189	6	the	the	DET
ijassa-1217	189	7	behavior	behavior	NOUN
ijassa-1217	189	8	of	of	ADP
ijassa-1217	189	9	sqp	sqp	PROPN
ijassa-1217	189	10	-	-	PUNCT
ijassa-1217	189	11	mh	mh	PROPN
ijassa-1217	189	12	and	and	CCONJ
ijassa-1217	189	13	sqp	sqp	PROPN
ijassa-1217	189	14	-	-	PUNCT
ijassa-1217	189	15	mh	mh	PROPN
ijassa-1217	189	16	-	-	PUNCT
ijassa-1217	189	17	ep	ep	PROPN
ijassa-1217	189	18	in	in	ADP
ijassa-1217	189	19	this	this	DET
ijassa-1217	189	20	respect	respect	NOUN
ijassa-1217	189	21	is	be	AUX
ijassa-1217	189	22	quite	quite	ADV
ijassa-1217	189	23	similar	similar	ADJ
ijassa-1217	189	24	.	.	PUNCT
ijassa-1217	190	1	in	in	ADP
ijassa-1217	190	2	particular	particular	ADJ
ijassa-1217	190	3	,	,	PUNCT
ijassa-1217	190	4	for	for	ADP
ijassa-1217	190	5	40	40	NUM
ijassa-1217	190	6	%	%	NOUN
ijassa-1217	190	7	of	of	ADP
ijassa-1217	190	8	test	test	NOUN
ijassa-1217	190	9	problems	problem	NOUN
ijassa-1217	190	10	,	,	PUNCT
ijassa-1217	190	11	only	only	ADV
ijassa-1217	190	12	one	one	NUM
ijassa-1217	190	13	quadratic	quadratic	ADJ
ijassa-1217	190	14	subproblem	subproblem	NOUN
ijassa-1217	190	15	per	per	ADP
ijassa-1217	190	16	iteration	iteration	NOUN
ijassa-1217	190	17	had	have	VERB
ijassa-1217	190	18	to	to	PART
ijassa-1217	190	19	be	be	AUX
ijassa-1217	190	20	solved	solve	VERB
ijassa-1217	190	21	on	on	ADP
ijassa-1217	190	22	the	the	DET
ijassa-1217	190	23	average	average	NOUN
ijassa-1217	190	24	,	,	PUNCT
ijassa-1217	190	25	while	while	SCONJ
ijassa-1217	190	26	solving	solve	VERB
ijassa-1217	190	27	two	two	NUM
ijassa-1217	190	28	or	or	CCONJ
ijassa-1217	190	29	more	more	ADJ
ijassa-1217	190	30	subproblems	subproblem	NOUN
ijassa-1217	190	31	was	be	AUX
ijassa-1217	190	32	needed	need	VERB
ijassa-1217	190	33	for	for	ADP
ijassa-1217	190	34	less	less	ADJ
ijassa-1217	190	35	than	than	ADP
ijassa-1217	190	36	10	10	NUM
ijassa-1217	190	37	%	%	NOUN
ijassa-1217	190	38	of	of	ADP
ijassa-1217	190	39	problems	problem	NOUN
ijassa-1217	190	40	.	.	PUNCT
ijassa-1217	191	1	copyright	copyright	NOUN
ijassa-1217	191	2	©	©	ADP
ijassa-1217	191	3	2022	2022	NUM
ijassa-1217	191	4	assa	assa	NOUN
ijassa-1217	191	5	.	.	PUNCT
ijassa-1217	192	1	adv	adv	PROPN
ijassa-1217	192	2	syst	syst	PROPN
ijassa-1217	192	3	sci	sci	PROPN
ijassa-1217	192	4	appl	appl	PROPN
ijassa-1217	192	5	(	(	PUNCT
ijassa-1217	192	6	2022	2022	NUM
ijassa-1217	192	7	)	)	PUNCT
ijassa-1217	192	8	82	82	NUM
ijassa-1217	192	9	a.	a.	NOUN
ijassa-1217	192	10	f.	f.	PROPN
ijassa-1217	192	11	izmailov	izmailov	PROPN
ijassa-1217	192	12	,	,	PUNCT
ijassa-1217	192	13	i.	i.	PROPN
ijassa-1217	192	14	s.	s.	PROPN
ijassa-1217	192	15	rodin	rodin	VERB
ijassa-1217	192	16	2	2	NUM
ijassa-1217	192	17	4	4	NUM
ijassa-1217	192	18	6	6	NUM
ijassa-1217	192	19	8	8	NUM
ijassa-1217	192	20	10	10	NUM
ijassa-1217	192	21	12	12	NUM
ijassa-1217	192	22	14	14	NUM
ijassa-1217	192	23	16	16	NUM
ijassa-1217	192	24	18	18	NUM
ijassa-1217	192	25	20	20	NUM
ijassa-1217	192	26	22	22	NUM
ijassa-1217	192	27	0	0	NUM
ijassa-1217	192	28	0.2	0.2	NUM
ijassa-1217	192	29	0.4	0.4	NUM
ijassa-1217	192	30	0.6	0.6	NUM
ijassa-1217	192	31	0.8	0.8	NUM
ijassa-1217	192	32	1	1	NUM
ijassa-1217	192	33	sqp	sqp	PROPN
ijassa-1217	192	34	-	-	PUNCT
ijassa-1217	192	35	mh	mh	PROPN
ijassa-1217	192	36	sqp	sqp	PROPN
ijassa-1217	192	37	-	-	PUNCT
ijassa-1217	192	38	mh	mh	PROPN
ijassa-1217	192	39	-	-	PUNCT
ijassa-1217	192	40	ep	ep	PROPN
ijassa-1217	192	41	bfgs	bfgs	PROPN
ijassa-1217	192	42	-	-	PUNCT
ijassa-1217	192	43	sqp	sqp	PROPN
ijassa-1217	192	44	(	(	PUNCT
ijassa-1217	192	45	a	a	NOUN
ijassa-1217	192	46	)	)	PUNCT
ijassa-1217	192	47	evaluations	evaluation	NOUN
ijassa-1217	192	48	of	of	ADP
ijassa-1217	192	49	f	f	PROPN
ijassa-1217	192	50	2	2	NUM
ijassa-1217	192	51	4	4	NUM
ijassa-1217	192	52	6	6	NUM
ijassa-1217	192	53	8	8	NUM
ijassa-1217	192	54	10	10	NUM
ijassa-1217	192	55	12	12	NUM
ijassa-1217	192	56	14	14	NUM
ijassa-1217	192	57	16	16	NUM
ijassa-1217	192	58	18	18	NUM
ijassa-1217	192	59	20	20	NUM
ijassa-1217	192	60	22	22	NUM
ijassa-1217	192	61	0	0	NUM
ijassa-1217	192	62	0.2	0.2	NUM
ijassa-1217	192	63	0.4	0.4	NUM
ijassa-1217	192	64	0.6	0.6	NUM
ijassa-1217	192	65	0.8	0.8	NUM
ijassa-1217	192	66	1	1	NUM
ijassa-1217	192	67	sqp	sqp	PROPN
ijassa-1217	192	68	-	-	PUNCT
ijassa-1217	192	69	mh	mh	PROPN
ijassa-1217	192	70	sqp	sqp	PROPN
ijassa-1217	192	71	-	-	PUNCT
ijassa-1217	192	72	mh	mh	PROPN
ijassa-1217	192	73	-	-	PUNCT
ijassa-1217	192	74	ep	ep	PROPN
ijassa-1217	192	75	bfgs	bfgs	PROPN
ijassa-1217	192	76	-	-	PUNCT
ijassa-1217	192	77	sqp	sqp	PROPN
ijassa-1217	192	78	(	(	PUNCT
ijassa-1217	192	79	b	b	NOUN
ijassa-1217	192	80	)	)	PUNCT
ijassa-1217	192	81	evaluations	evaluation	NOUN
ijassa-1217	192	82	of	of	ADP
ijassa-1217	192	83	h	h	NOUN
ijassa-1217	192	84	and	and	CCONJ
ijassa-1217	192	85	g	g	PROPN
ijassa-1217	192	86	2	2	NUM
ijassa-1217	192	87	4	4	NUM
ijassa-1217	192	88	6	6	NUM
ijassa-1217	192	89	8	8	NUM
ijassa-1217	192	90	10	10	NUM
ijassa-1217	192	91	12	12	NUM
ijassa-1217	192	92	14	14	NUM
ijassa-1217	192	93	16	16	NUM
ijassa-1217	192	94	18	18	NUM
ijassa-1217	192	95	20	20	NUM
ijassa-1217	192	96	22	22	NUM
ijassa-1217	192	97	0	0	NUM
ijassa-1217	192	98	0.2	0.2	NUM
ijassa-1217	192	99	0.4	0.4	NUM
ijassa-1217	192	100	0.6	0.6	NUM
ijassa-1217	192	101	0.8	0.8	NUM
ijassa-1217	192	102	1	1	NUM
ijassa-1217	192	103	sqp	sqp	PROPN
ijassa-1217	192	104	-	-	PUNCT
ijassa-1217	192	105	mh	mh	PROPN
ijassa-1217	192	106	sqp	sqp	PROPN
ijassa-1217	192	107	-	-	PUNCT
ijassa-1217	192	108	mh	mh	PROPN
ijassa-1217	192	109	-	-	PUNCT
ijassa-1217	192	110	ep	ep	PROPN
ijassa-1217	192	111	bfgs	bfgs	PROPN
ijassa-1217	192	112	-	-	PUNCT
ijassa-1217	192	113	sqp	sqp	PROPN
ijassa-1217	192	114	(	(	PUNCT
ijassa-1217	192	115	c	c	NOUN
ijassa-1217	192	116	)	)	PUNCT
ijassa-1217	192	117	evaluations	evaluation	NOUN
ijassa-1217	192	118	of	of	ADP
ijassa-1217	192	119	derivatives	derivative	NOUN
ijassa-1217	192	120	fig	fig	NOUN
ijassa-1217	192	121	.	.	PUNCT
ijassa-1217	193	1	4.2	4.2	NUM
ijassa-1217	193	2	.	.	PUNCT
ijassa-1217	194	1	performance	performance	NOUN
ijassa-1217	194	2	profiles	profile	NOUN
ijassa-1217	194	3	by	by	ADP
ijassa-1217	194	4	evaluations	evaluation	NOUN
ijassa-1217	194	5	the	the	DET
ijassa-1217	194	6	performance	performance	NOUN
ijassa-1217	194	7	profiles	profile	NOUN
ijassa-1217	194	8	in	in	ADP
ijassa-1217	194	9	terms	term	NOUN
ijassa-1217	194	10	of	of	ADP
ijassa-1217	194	11	evaluations	evaluation	NOUN
ijassa-1217	194	12	of	of	ADP
ijassa-1217	194	13	f	f	PROPN
ijassa-1217	194	14	,	,	PUNCT
ijassa-1217	194	15	of	of	ADP
ijassa-1217	194	16	the	the	DET
ijassa-1217	194	17	constraint	constraint	NOUN
ijassa-1217	194	18	mappings	mapping	NOUN
ijassa-1217	194	19	,	,	PUNCT
ijassa-1217	194	20	and	and	CCONJ
ijassa-1217	194	21	of	of	ADP
ijassa-1217	194	22	their	their	PRON
ijassa-1217	194	23	derivatives	derivative	NOUN
ijassa-1217	194	24	are	be	AUX
ijassa-1217	194	25	presented	present	VERB
ijassa-1217	194	26	in	in	ADP
ijassa-1217	194	27	figures	figure	NOUN
ijassa-1217	194	28	4.2a	4.2a	NUM
ijassa-1217	194	29	,	,	PUNCT
ijassa-1217	194	30	4.2b	4.2b	NOUN
ijassa-1217	194	31	and	and	CCONJ
ijassa-1217	194	32	4.2c	4.2c	NUM
ijassa-1217	194	33	,	,	PUNCT
ijassa-1217	194	34	respectively	respectively	ADV
ijassa-1217	194	35	.	.	PUNCT
ijassa-1217	195	1	according	accord	VERB
ijassa-1217	195	2	to	to	ADP
ijassa-1217	195	3	copyright	copyright	NOUN
ijassa-1217	195	4	©	©	PROPN
ijassa-1217	195	5	2022	2022	NUM
ijassa-1217	195	6	assa	assa	NOUN
ijassa-1217	195	7	.	.	PUNCT
ijassa-1217	196	1	adv	adv	PROPN
ijassa-1217	196	2	syst	syst	PROPN
ijassa-1217	196	3	sci	sci	PROPN
ijassa-1217	196	4	appl	appl	PROPN
ijassa-1217	196	5	(	(	PUNCT
ijassa-1217	196	6	2022	2022	NUM
ijassa-1217	196	7	)	)	PUNCT
ijassa-1217	196	8	accelerating	accelerate	VERB
ijassa-1217	196	9	sequential	sequential	ADJ
ijassa-1217	196	10	quadratic	quadratic	ADJ
ijassa-1217	196	11	programming	programming	NOUN
ijassa-1217	196	12	for	for	ADP
ijassa-1217	196	13	inequality	inequality	NOUN
ijassa-1217	196	14	-	-	PUNCT
ijassa-1217	196	15	constrained	constrain	VERB
ijassa-1217	196	16	83	83	NUM
ijassa-1217	196	17	figure	figure	NOUN
ijassa-1217	196	18	4.2a	4.2a	NUM
ijassa-1217	196	19	,	,	PUNCT
ijassa-1217	196	20	the	the	DET
ijassa-1217	196	21	relative	relative	ADJ
ijassa-1217	196	22	efficiency	efficiency	NOUN
ijassa-1217	196	23	of	of	ADP
ijassa-1217	196	24	sqp	sqp	PROPN
ijassa-1217	196	25	-	-	PUNCT
ijassa-1217	196	26	mh	mh	PROPN
ijassa-1217	196	27	-	-	PUNCT
ijassa-1217	196	28	ep	ep	PROPN
ijassa-1217	196	29	by	by	ADP
ijassa-1217	196	30	evaluations	evaluation	NOUN
ijassa-1217	196	31	of	of	ADP
ijassa-1217	196	32	f	f	PROPN
ijassa-1217	196	33	is	be	AUX
ijassa-1217	196	34	lower	low	ADJ
ijassa-1217	196	35	than	than	ADP
ijassa-1217	196	36	that	that	PRON
ijassa-1217	196	37	by	by	ADP
ijassa-1217	196	38	the	the	DET
ijassa-1217	196	39	count	count	NOUN
ijassa-1217	196	40	of	of	ADP
ijassa-1217	196	41	subproblems	subproblem	NOUN
ijassa-1217	196	42	solved	solve	VERB
ijassa-1217	196	43	,	,	PUNCT
ijassa-1217	196	44	but	but	CCONJ
ijassa-1217	196	45	the	the	DET
ijassa-1217	196	46	positive	positive	ADJ
ijassa-1217	196	47	effect	effect	NOUN
ijassa-1217	196	48	of	of	ADP
ijassa-1217	196	49	using	use	VERB
ijassa-1217	196	50	extrapolation	extrapolation	NOUN
ijassa-1217	196	51	is	be	AUX
ijassa-1217	196	52	still	still	ADV
ijassa-1217	196	53	evident	evident	ADJ
ijassa-1217	196	54	.	.	PUNCT
ijassa-1217	197	1	the	the	DET
ijassa-1217	197	2	picture	picture	NOUN
ijassa-1217	197	3	in	in	ADP
ijassa-1217	197	4	figure	figure	NOUN
ijassa-1217	197	5	4.2b	4.2b	NOUN
ijassa-1217	197	6	by	by	ADP
ijassa-1217	197	7	evaluations	evaluation	NOUN
ijassa-1217	197	8	of	of	ADP
ijassa-1217	197	9	h	h	NOUN
ijassa-1217	197	10	and	and	CCONJ
ijassa-1217	197	11	g	g	NOUN
ijassa-1217	197	12	,	,	PUNCT
ijassa-1217	197	13	and	and	CCONJ
ijassa-1217	197	14	in	in	ADP
ijassa-1217	197	15	figure	figure	NOUN
ijassa-1217	197	16	4.2c	4.2c	NUM
ijassa-1217	197	17	by	by	ADP
ijassa-1217	197	18	evaluations	evaluation	NOUN
ijassa-1217	197	19	of	of	ADP
ijassa-1217	197	20	the	the	DET
ijassa-1217	197	21	derivatives	derivative	NOUN
ijassa-1217	197	22	is	be	AUX
ijassa-1217	197	23	quite	quite	ADV
ijassa-1217	197	24	different	different	ADJ
ijassa-1217	197	25	though	though	ADV
ijassa-1217	197	26	from	from	ADP
ijassa-1217	197	27	that	that	PRON
ijassa-1217	197	28	in	in	ADP
ijassa-1217	197	29	figures	figure	NOUN
ijassa-1217	197	30	4.1a	4.1a	NOUN
ijassa-1217	197	31	and	and	CCONJ
ijassa-1217	197	32	4.2a	4.2a	NUM
ijassa-1217	197	33	:	:	PUNCT
ijassa-1217	197	34	sqp	sqp	PROPN
ijassa-1217	197	35	-	-	PUNCT
ijassa-1217	197	36	mh	mh	PROPN
ijassa-1217	197	37	-	-	PUNCT
ijassa-1217	197	38	ep	ep	PROPN
ijassa-1217	197	39	demonstrated	demonstrate	VERB
ijassa-1217	197	40	the	the	DET
ijassa-1217	197	41	best	good	ADJ
ijassa-1217	197	42	results	result	NOUN
ijassa-1217	197	43	by	by	ADP
ijassa-1217	197	44	these	these	DET
ijassa-1217	197	45	measures	measure	NOUN
ijassa-1217	197	46	of	of	ADP
ijassa-1217	197	47	efficiency	efficiency	NOUN
ijassa-1217	197	48	for	for	ADP
ijassa-1217	197	49	about	about	ADV
ijassa-1217	197	50	10	10	NUM
ijassa-1217	197	51	%	%	NOUN
ijassa-1217	197	52	of	of	ADP
ijassa-1217	197	53	problems	problem	NOUN
ijassa-1217	197	54	only	only	ADV
ijassa-1217	197	55	.	.	PUNCT
ijassa-1217	198	1	this	this	DET
ijassa-1217	198	2	behavior	behavior	NOUN
ijassa-1217	198	3	is	be	AUX
ijassa-1217	198	4	explained	explain	VERB
ijassa-1217	198	5	by	by	ADP
ijassa-1217	198	6	the	the	DET
ijassa-1217	198	7	fact	fact	NOUN
ijassa-1217	198	8	that	that	SCONJ
ijassa-1217	198	9	even	even	ADV
ijassa-1217	198	10	if	if	SCONJ
ijassa-1217	198	11	the	the	DET
ijassa-1217	198	12	true	true	ADJ
ijassa-1217	198	13	hessian	hessian	NOUN
ijassa-1217	198	14	and	and	CCONJ
ijassa-1217	198	15	the	the	DET
ijassa-1217	198	16	full	full	ADJ
ijassa-1217	198	17	step	step	NOUN
ijassa-1217	198	18	are	be	AUX
ijassa-1217	198	19	typically	typically	ADV
ijassa-1217	198	20	asymptotically	asymptotically	ADV
ijassa-1217	198	21	accepted	accept	VERB
ijassa-1217	198	22	,	,	PUNCT
ijassa-1217	198	23	and	and	CCONJ
ijassa-1217	198	24	the	the	DET
ijassa-1217	198	25	set	set	NOUN
ijassa-1217	198	26	of	of	ADP
ijassa-1217	198	27	active	active	ADJ
ijassa-1217	198	28	constraints	constraint	NOUN
ijassa-1217	198	29	stabilizes	stabilize	VERB
ijassa-1217	198	30	,	,	PUNCT
ijassa-1217	198	31	additional	additional	ADJ
ijassa-1217	198	32	evaluations	evaluation	NOUN
ijassa-1217	198	33	of	of	ADP
ijassa-1217	198	34	h	h	NOUN
ijassa-1217	198	35	,	,	PUNCT
ijassa-1217	198	36	g	g	NOUN
ijassa-1217	198	37	,	,	PUNCT
ijassa-1217	198	38	and	and	CCONJ
ijassa-1217	198	39	derivatives	derivative	NOUN
ijassa-1217	198	40	are	be	AUX
ijassa-1217	198	41	required	require	VERB
ijassa-1217	198	42	at	at	ADP
ijassa-1217	198	43	extrapolated	extrapolate	VERB
ijassa-1217	198	44	points	point	NOUN
ijassa-1217	198	45	for	for	ADP
ijassa-1217	198	46	verifying	verify	VERB
ijassa-1217	198	47	the	the	DET
ijassa-1217	198	48	stopping	stopping	NOUN
ijassa-1217	198	49	test	test	NOUN
ijassa-1217	198	50	(	(	PUNCT
ijassa-1217	198	51	4.28	4.28	NUM
ijassa-1217	198	52	)	)	PUNCT
ijassa-1217	198	53	.	.	PUNCT
ijassa-1217	199	1	5	5	X
ijassa-1217	199	2	.	.	X
ijassa-1217	199	3	concluding	conclude	VERB
ijassa-1217	199	4	remarks	remark	NOUN
ijassa-1217	199	5	we	we	PRON
ijassa-1217	199	6	have	have	AUX
ijassa-1217	199	7	discussed	discuss	VERB
ijassa-1217	199	8	the	the	DET
ijassa-1217	199	9	use	use	NOUN
ijassa-1217	199	10	of	of	ADP
ijassa-1217	199	11	extrapolation	extrapolation	NOUN
ijassa-1217	199	12	techniques	technique	NOUN
ijassa-1217	199	13	for	for	ADP
ijassa-1217	199	14	acceleration	acceleration	NOUN
ijassa-1217	199	15	of	of	ADP
ijassa-1217	199	16	convergence	convergence	NOUN
ijassa-1217	199	17	of	of	ADP
ijassa-1217	199	18	the	the	DET
ijassa-1217	199	19	sqp	sqp	PROPN
ijassa-1217	199	20	method	method	NOUN
ijassa-1217	199	21	equipped	equip	VERB
ijassa-1217	199	22	with	with	ADP
ijassa-1217	199	23	linesearch	linesearch	NOUN
ijassa-1217	199	24	,	,	PUNCT
ijassa-1217	199	25	when	when	SCONJ
ijassa-1217	199	26	convergence	convergence	NOUN
ijassa-1217	199	27	is	be	AUX
ijassa-1217	199	28	to	to	ADP
ijassa-1217	199	29	a	a	DET
ijassa-1217	199	30	critical	critical	ADJ
ijassa-1217	199	31	lagrange	lagrange	NOUN
ijassa-1217	199	32	multiplier	multipli	ADJ
ijassa-1217	199	33	of	of	ADP
ijassa-1217	199	34	an	an	DET
ijassa-1217	199	35	optimization	optimization	NOUN
ijassa-1217	199	36	problem	problem	NOUN
ijassa-1217	199	37	involving	involve	VERB
ijassa-1217	199	38	inequality	inequality	NOUN
ijassa-1217	199	39	constraints	constraint	NOUN
ijassa-1217	199	40	.	.	PUNCT
ijassa-1217	200	1	a	a	DET
ijassa-1217	200	2	specific	specific	ADJ
ijassa-1217	200	3	algorithmic	algorithmic	ADJ
ijassa-1217	200	4	implementation	implementation	NOUN
ijassa-1217	200	5	of	of	ADP
ijassa-1217	200	6	these	these	DET
ijassa-1217	200	7	constructions	construction	NOUN
ijassa-1217	200	8	has	have	AUX
ijassa-1217	200	9	been	be	AUX
ijassa-1217	200	10	developed	develop	VERB
ijassa-1217	200	11	and	and	CCONJ
ijassa-1217	200	12	numerically	numerically	ADV
ijassa-1217	200	13	tested	test	VERB
ijassa-1217	200	14	.	.	PUNCT
ijassa-1217	201	1	it	it	PRON
ijassa-1217	201	2	would	would	AUX
ijassa-1217	201	3	be	be	AUX
ijassa-1217	201	4	interesting	interesting	ADJ
ijassa-1217	201	5	to	to	PART
ijassa-1217	201	6	develop	develop	VERB
ijassa-1217	201	7	a	a	DET
ijassa-1217	201	8	reasonably	reasonably	ADV
ijassa-1217	201	9	complete	complete	ADJ
ijassa-1217	201	10	supporting	support	VERB
ijassa-1217	201	11	theory	theory	NOUN
ijassa-1217	201	12	,	,	PUNCT
ijassa-1217	201	13	i.e.	i.e.	X
ijassa-1217	201	14	,	,	PUNCT
ijassa-1217	201	15	conditions	condition	NOUN
ijassa-1217	201	16	ensuring	ensure	VERB
ijassa-1217	201	17	asymptotic	asymptotic	ADJ
ijassa-1217	201	18	acceptance	acceptance	NOUN
ijassa-1217	201	19	of	of	ADP
ijassa-1217	201	20	the	the	DET
ijassa-1217	201	21	true	true	ADJ
ijassa-1217	201	22	hessian	hessian	NOUN
ijassa-1217	201	23	and	and	CCONJ
ijassa-1217	201	24	the	the	DET
ijassa-1217	201	25	unit	unit	NOUN
ijassa-1217	201	26	stepsize	stepsize	NOUN
ijassa-1217	201	27	,	,	PUNCT
ijassa-1217	201	28	as	as	SCONJ
ijassa-1217	201	29	it	it	PRON
ijassa-1217	201	30	is	be	AUX
ijassa-1217	201	31	known	know	VERB
ijassa-1217	201	32	to	to	PART
ijassa-1217	201	33	be	be	AUX
ijassa-1217	201	34	possible	possible	ADJ
ijassa-1217	201	35	for	for	ADP
ijassa-1217	201	36	equality	equality	NOUN
ijassa-1217	201	37	-	-	PUNCT
ijassa-1217	201	38	constrained	constrain	VERB
ijassa-1217	201	39	problems	problem	NOUN
ijassa-1217	201	40	,	,	PUNCT
ijassa-1217	201	41	and	and	CCONJ
ijassa-1217	201	42	hopefully	hopefully	ADV
ijassa-1217	201	43	can	can	AUX
ijassa-1217	201	44	be	be	AUX
ijassa-1217	201	45	achieved	achieve	VERB
ijassa-1217	201	46	by	by	ADP
ijassa-1217	201	47	some	some	DET
ijassa-1217	201	48	kind	kind	NOUN
ijassa-1217	201	49	of	of	ADP
ijassa-1217	201	50	asymptotic	asymptotic	ADJ
ijassa-1217	201	51	reduction	reduction	NOUN
ijassa-1217	201	52	to	to	ADP
ijassa-1217	201	53	the	the	DET
ijassa-1217	201	54	equality	equality	NOUN
ijassa-1217	201	55	-	-	PUNCT
ijassa-1217	201	56	constrained	constrain	VERB
ijassa-1217	201	57	case	case	NOUN
ijassa-1217	201	58	.	.	PUNCT
ijassa-1217	202	1	observe	observe	VERB
ijassa-1217	202	2	,	,	PUNCT
ijassa-1217	202	3	however	however	ADV
ijassa-1217	202	4	,	,	PUNCT
ijassa-1217	202	5	that	that	SCONJ
ijassa-1217	202	6	the	the	DET
ijassa-1217	202	7	key	key	ADJ
ijassa-1217	202	8	difficulty	difficulty	NOUN
ijassa-1217	202	9	for	for	ADP
ijassa-1217	202	10	such	such	ADJ
ijassa-1217	202	11	development	development	NOUN
ijassa-1217	202	12	apparently	apparently	ADV
ijassa-1217	202	13	consists	consist	VERB
ijassa-1217	202	14	of	of	ADP
ijassa-1217	202	15	establishing	establish	VERB
ijassa-1217	202	16	the	the	DET
ijassa-1217	202	17	relation	relation	NOUN
ijassa-1217	202	18	between	between	ADP
ijassa-1217	202	19	the	the	DET
ijassa-1217	202	20	values	value	NOUN
ijassa-1217	202	21	and	and	CCONJ
ijassa-1217	202	22	directional	directional	ADJ
ijassa-1217	202	23	derivatives	derivative	NOUN
ijassa-1217	202	24	of	of	ADP
ijassa-1217	202	25	the	the	DET
ijassa-1217	202	26	penalty	penalty	NOUN
ijassa-1217	202	27	functions	function	NOUN
ijassa-1217	202	28	for	for	ADP
ijassa-1217	202	29	(	(	PUNCT
ijassa-1217	202	30	1.1	1.1	NUM
ijassa-1217	202	31	)	)	PUNCT
ijassa-1217	202	32	and	and	CCONJ
ijassa-1217	202	33	for	for	ADP
ijassa-1217	202	34	(	(	PUNCT
ijassa-1217	202	35	2.20	2.20	NUM
ijassa-1217	202	36	)	)	PUNCT
ijassa-1217	202	37	in	in	ADP
ijassa-1217	202	38	the	the	DET
ijassa-1217	202	39	sqp	sqp	PROPN
ijassa-1217	202	40	directions	direction	NOUN
ijassa-1217	202	41	.	.	PUNCT
ijassa-1217	203	1	acknowledgements	acknowledgement	NOUN
ijassa-1217	203	2	this	this	DET
ijassa-1217	203	3	research	research	NOUN
ijassa-1217	203	4	was	be	AUX
ijassa-1217	203	5	supported	support	VERB
ijassa-1217	203	6	in	in	ADP
ijassa-1217	203	7	part	part	NOUN
ijassa-1217	203	8	by	by	ADP
ijassa-1217	203	9	the	the	DET
ijassa-1217	203	10	russian	russian	ADJ
ijassa-1217	203	11	foundation	foundation	NOUN
ijassa-1217	203	12	for	for	ADP
ijassa-1217	203	13	basic	basic	ADJ
ijassa-1217	203	14	research	research	NOUN
ijassa-1217	203	15	grants	grant	NOUN
ijassa-1217	203	16	19	19	NUM
ijassa-1217	203	17	-	-	SYM
ijassa-1217	203	18	51	51	NUM
ijassa-1217	203	19	-	-	PUNCT
ijassa-1217	203	20	12003	12003	NUM
ijassa-1217	203	21	nnio	nnio	NOUN
ijassa-1217	203	22	a	a	DET
ijassa-1217	203	23	and	and	CCONJ
ijassa-1217	203	24	20	20	NUM
ijassa-1217	203	25	-	-	PUNCT
ijassa-1217	203	26	01	01	NUM
ijassa-1217	203	27	-	-	PUNCT
ijassa-1217	203	28	00106	00106	NUM
ijassa-1217	203	29	a	a	NOUN
ijassa-1217	203	30	,	,	PUNCT
ijassa-1217	203	31	and	and	CCONJ
ijassa-1217	203	32	by	by	ADP
ijassa-1217	203	33	the	the	DET
ijassa-1217	203	34	volkswagen	volkswagen	PROPN
ijassa-1217	203	35	foundation	foundation	PROPN
ijassa-1217	203	36	.	.	PUNCT
ijassa-1217	204	1	references	reference	NOUN
ijassa-1217	204	2	1	1	NUM
ijassa-1217	204	3	.	.	PUNCT
ijassa-1217	205	1	bonnans	bonnan	NOUN
ijassa-1217	205	2	,	,	PUNCT
ijassa-1217	205	3	j.f	j.f	PROPN
ijassa-1217	205	4	.	.	PROPN
ijassa-1217	205	5	,	,	PUNCT
ijassa-1217	205	6	gilbert	gilbert	PROPN
ijassa-1217	205	7	,	,	PUNCT
ijassa-1217	205	8	j.ch	j.ch	PROPN
ijassa-1217	205	9	.	.	PROPN
ijassa-1217	205	10	,	,	PUNCT
ijassa-1217	205	11	lemaréchal	lemaréchal	PROPN
ijassa-1217	205	12	,	,	PUNCT
ijassa-1217	205	13	c.	c.	PROPN
ijassa-1217	205	14	&	&	CCONJ
ijassa-1217	205	15	sagastizábal	sagastizábal	PROPN
ijassa-1217	205	16	,	,	PUNCT
ijassa-1217	205	17	c.	c.	PROPN
ijassa-1217	205	18	(	(	PUNCT
ijassa-1217	205	19	2006	2006	NUM
ijassa-1217	205	20	)	)	PUNCT
ijassa-1217	205	21	numerical	numerical	ADJ
ijassa-1217	205	22	optimization	optimization	NOUN
ijassa-1217	205	23	.	.	PUNCT
ijassa-1217	206	1	theoretical	theoretical	ADJ
ijassa-1217	206	2	and	and	CCONJ
ijassa-1217	206	3	practical	practical	ADJ
ijassa-1217	206	4	aspects	aspect	NOUN
ijassa-1217	206	5	.	.	PUNCT
ijassa-1217	207	1	2nd	2nd	PROPN
ijassa-1217	207	2	edition	edition	PROPN
ijassa-1217	207	3	.	.	PUNCT
ijassa-1217	208	1	berlin	berlin	PROPN
ijassa-1217	208	2	:	:	PUNCT
ijassa-1217	208	3	springer	springer	NOUN
ijassa-1217	208	4	-	-	PUNCT
ijassa-1217	208	5	verlag	verlag	PROPN
ijassa-1217	208	6	.	.	PUNCT
ijassa-1217	209	1	2	2	X
ijassa-1217	209	2	.	.	X
ijassa-1217	209	3	dolan	dolan	PROPN
ijassa-1217	209	4	,	,	PUNCT
ijassa-1217	209	5	e.d	e.d	PROPN
ijassa-1217	209	6	.	.	PROPN
ijassa-1217	209	7	&	&	CCONJ
ijassa-1217	209	8	more	more	ADJ
ijassa-1217	209	9	,	,	PUNCT
ijassa-1217	209	10	j.j	j.j	PROPN
ijassa-1217	209	11	.	.	PROPN
ijassa-1217	209	12	(	(	PUNCT
ijassa-1217	209	13	2002	2002	NUM
ijassa-1217	209	14	)	)	PUNCT
ijassa-1217	209	15	benchmarking	benchmarke	VERB
ijassa-1217	209	16	optimization	optimization	NOUN
ijassa-1217	209	17	software	software	NOUN
ijassa-1217	209	18	with	with	ADP
ijassa-1217	209	19	performance	performance	NOUN
ijassa-1217	209	20	profiles	profile	NOUN
ijassa-1217	209	21	.	.	PUNCT
ijassa-1217	210	1	math	math	NOUN
ijassa-1217	210	2	.	.	PUNCT
ijassa-1217	211	1	program	program	NOUN
ijassa-1217	211	2	.	.	PUNCT
ijassa-1217	212	1	91	91	NUM
ijassa-1217	212	2	,	,	PUNCT
ijassa-1217	212	3	201–213	201–213	NUM
ijassa-1217	212	4	.	.	NOUN
ijassa-1217	213	1	3	3	X
ijassa-1217	213	2	.	.	X
ijassa-1217	213	3	ferris	ferris	PROPN
ijassa-1217	213	4	,	,	PUNCT
ijassa-1217	213	5	m.c	m.c	PROPN
ijassa-1217	213	6	.	.	PROPN
ijassa-1217	213	7	&	&	CCONJ
ijassa-1217	213	8	munson	munson	PROPN
ijassa-1217	213	9	,	,	PUNCT
ijassa-1217	213	10	t.s	t.s	PROPN
ijassa-1217	213	11	..	..	PROPN
ijassa-1217	213	12	path	path	NOUN
ijassa-1217	213	13	.	.	PUNCT
ijassa-1217	214	1	[	[	X
ijassa-1217	214	2	online	online	X
ijassa-1217	214	3	]	]	X
ijassa-1217	214	4	.	.	PUNCT
ijassa-1217	215	1	available	available	ADJ
ijassa-1217	215	2	http://pages.cs.wisc.edu/˜ferris/path.html	http://pages.cs.wisc.edu/˜ferris/path.html	PROPN
ijassa-1217	215	3	.	.	PUNCT
ijassa-1217	216	1	4	4	X
ijassa-1217	216	2	.	.	X
ijassa-1217	216	3	ferris	ferris	PROPN
ijassa-1217	216	4	,	,	PUNCT
ijassa-1217	216	5	m.c	m.c	PROPN
ijassa-1217	216	6	.	.	PROPN
ijassa-1217	216	7	&	&	CCONJ
ijassa-1217	216	8	munson	munson	PROPN
ijassa-1217	216	9	,	,	PUNCT
ijassa-1217	216	10	t.s	t.s	PROPN
ijassa-1217	216	11	.	.	PROPN
ijassa-1217	216	12	(	(	PUNCT
ijassa-1217	216	13	1999	1999	NUM
ijassa-1217	216	14	)	)	PUNCT
ijassa-1217	216	15	interfaces	interface	NOUN
ijassa-1217	216	16	to	to	ADP
ijassa-1217	216	17	path	path	NOUN
ijassa-1217	216	18	3.0	3.0	NUM
ijassa-1217	216	19	:	:	PUNCT
ijassa-1217	216	20	design	design	NOUN
ijassa-1217	216	21	,	,	PUNCT
ijassa-1217	216	22	implementation	implementation	NOUN
ijassa-1217	216	23	and	and	CCONJ
ijassa-1217	216	24	usage	usage	NOUN
ijassa-1217	216	25	.	.	PUNCT
ijassa-1217	217	1	comput	comput	NOUN
ijassa-1217	217	2	.	.	PUNCT
ijassa-1217	218	1	optim	optim	PROPN
ijassa-1217	218	2	.	.	PUNCT
ijassa-1217	219	1	appl	appl	PROPN
ijassa-1217	219	2	.	.	PROPN
ijassa-1217	220	1	12	12	NUM
ijassa-1217	220	2	,	,	PUNCT
ijassa-1217	220	3	207–227	207–227	NUM
ijassa-1217	220	4	.	.	NOUN
ijassa-1217	221	1	5	5	NUM
ijassa-1217	221	2	.	.	X
ijassa-1217	221	3	fischer	fischer	PROPN
ijassa-1217	221	4	,	,	PUNCT
ijassa-1217	221	5	a.	a.	PROPN
ijassa-1217	221	6	,	,	PUNCT
ijassa-1217	221	7	izmailov	izmailov	PROPN
ijassa-1217	221	8	,	,	PUNCT
ijassa-1217	221	9	a.f	a.f	PROPN
ijassa-1217	221	10	.	.	PROPN
ijassa-1217	221	11	&	&	CCONJ
ijassa-1217	221	12	scheck	scheck	PROPN
ijassa-1217	221	13	,	,	PUNCT
ijassa-1217	221	14	w.	w.	PROPN
ijassa-1217	221	15	(	(	PUNCT
ijassa-1217	221	16	2020	2020	NUM
ijassa-1217	221	17	)	)	PUNCT
ijassa-1217	221	18	adjusting	adjust	VERB
ijassa-1217	221	19	dual	dual	ADJ
ijassa-1217	221	20	iterates	iterate	NOUN
ijassa-1217	221	21	in	in	ADP
ijassa-1217	221	22	the	the	DET
ijassa-1217	221	23	presence	presence	NOUN
ijassa-1217	221	24	of	of	ADP
ijassa-1217	221	25	critical	critical	ADJ
ijassa-1217	221	26	lagrange	lagrange	NOUN
ijassa-1217	221	27	multipliers	multiplier	NOUN
ijassa-1217	221	28	.	.	PUNCT
ijassa-1217	222	1	siam	siam	PROPN
ijassa-1217	222	2	j.	j.	PROPN
ijassa-1217	222	3	optim	optim	PROPN
ijassa-1217	222	4	.	.	PROPN
ijassa-1217	223	1	30	30	NUM
ijassa-1217	223	2	,	,	PUNCT
ijassa-1217	223	3	1555–1581	1555–1581	NUM
ijassa-1217	223	4	.	.	PUNCT
ijassa-1217	224	1	6	6	NUM
ijassa-1217	224	2	.	.	X
ijassa-1217	224	3	fischer	fischer	PROPN
ijassa-1217	224	4	,	,	PUNCT
ijassa-1217	224	5	a.	a.	PROPN
ijassa-1217	224	6	,	,	PUNCT
ijassa-1217	224	7	izmailov	izmailov	PROPN
ijassa-1217	224	8	,	,	PUNCT
ijassa-1217	224	9	a.f	a.f	PROPN
ijassa-1217	224	10	.	.	PROPN
ijassa-1217	224	11	&	&	CCONJ
ijassa-1217	224	12	m.v	m.v	PROPN
ijassa-1217	224	13	.	.	PROPN
ijassa-1217	225	1	solodov	solodov	PROPN
ijassa-1217	225	2	.	.	PUNCT
ijassa-1217	226	1	(	(	PUNCT
ijassa-1217	226	2	2021	2021	NUM
ijassa-1217	226	3	)	)	PUNCT
ijassa-1217	226	4	unit	unit	NOUN
ijassa-1217	226	5	stepsize	stepsize	NOUN
ijassa-1217	226	6	for	for	ADP
ijassa-1217	226	7	the	the	DET
ijassa-1217	226	8	newton	newton	PROPN
ijassa-1217	226	9	method	method	NOUN
ijassa-1217	226	10	close	close	ADV
ijassa-1217	226	11	to	to	ADP
ijassa-1217	226	12	critical	critical	ADJ
ijassa-1217	226	13	solutions	solution	NOUN
ijassa-1217	226	14	.	.	PUNCT
ijassa-1217	227	1	math	math	NOUN
ijassa-1217	227	2	.	.	PUNCT
ijassa-1217	228	1	program	program	NOUN
ijassa-1217	228	2	.	.	PUNCT
ijassa-1217	229	1	187	187	NUM
ijassa-1217	229	2	,	,	PUNCT
ijassa-1217	229	3	697–721	697–721	NUM
ijassa-1217	229	4	.	.	PUNCT
ijassa-1217	230	1	7	7	X
ijassa-1217	230	2	.	.	X
ijassa-1217	230	3	griewank	griewank	PROPN
ijassa-1217	230	4	,	,	PUNCT
ijassa-1217	230	5	a.	a.	NOUN
ijassa-1217	230	6	(	(	PUNCT
ijassa-1217	230	7	1980	1980	NUM
ijassa-1217	230	8	)	)	PUNCT
ijassa-1217	230	9	analysis	analysis	NOUN
ijassa-1217	230	10	and	and	CCONJ
ijassa-1217	230	11	modification	modification	NOUN
ijassa-1217	230	12	of	of	ADP
ijassa-1217	230	13	mewton	mewton	PROPN
ijassa-1217	230	14	’s	’s	PART
ijassa-1217	230	15	method	method	NOUN
ijassa-1217	230	16	at	at	ADP
ijassa-1217	230	17	singularities	singularity	NOUN
ijassa-1217	230	18	.	.	PUNCT
ijassa-1217	231	1	phd	phd	NOUN
ijassa-1217	231	2	thesis	thesis	NOUN
ijassa-1217	231	3	.	.	PUNCT
ijassa-1217	232	1	australian	australian	ADJ
ijassa-1217	232	2	national	national	PROPN
ijassa-1217	232	3	university	university	PROPN
ijassa-1217	232	4	,	,	PUNCT
ijassa-1217	232	5	canberra	canberra	PROPN
ijassa-1217	232	6	.	.	PUNCT
ijassa-1217	233	1	8	8	NUM
ijassa-1217	233	2	.	.	X
ijassa-1217	233	3	griewank	griewank	PROPN
ijassa-1217	233	4	,	,	PUNCT
ijassa-1217	233	5	a.	a.	NOUN
ijassa-1217	233	6	(	(	PUNCT
ijassa-1217	233	7	1980	1980	NUM
ijassa-1217	233	8	)	)	PUNCT
ijassa-1217	233	9	starlike	starlike	NOUN
ijassa-1217	233	10	domains	domain	NOUN
ijassa-1217	233	11	of	of	ADP
ijassa-1217	233	12	convergence	convergence	NOUN
ijassa-1217	233	13	for	for	ADP
ijassa-1217	233	14	newton	newton	PROPN
ijassa-1217	233	15	’s	’s	PART
ijassa-1217	233	16	method	method	NOUN
ijassa-1217	233	17	at	at	ADP
ijassa-1217	233	18	singularities	singularity	NOUN
ijassa-1217	233	19	.	.	PUNCT
ijassa-1217	234	1	numer	numer	PROPN
ijassa-1217	234	2	.	.	PUNCT
ijassa-1217	234	3	math	math	PROPN
ijassa-1217	234	4	.	.	PUNCT
ijassa-1217	235	1	35	35	NUM
ijassa-1217	235	2	,	,	PUNCT
ijassa-1217	235	3	95–111	95–111	NUM
ijassa-1217	235	4	.	.	NOUN
ijassa-1217	235	5	9	9	NUM
ijassa-1217	235	6	.	.	PUNCT
ijassa-1217	235	7	a.	a.	NOUN
ijassa-1217	235	8	griewank	griewank	PROPN
ijassa-1217	235	9	.	.	PUNCT
ijassa-1217	236	1	(	(	PUNCT
ijassa-1217	236	2	1985	1985	NUM
ijassa-1217	236	3	)	)	PUNCT
ijassa-1217	236	4	on	on	ADP
ijassa-1217	236	5	solving	solve	VERB
ijassa-1217	236	6	nonlinear	nonlinear	ADJ
ijassa-1217	236	7	equations	equation	NOUN
ijassa-1217	236	8	with	with	ADP
ijassa-1217	236	9	simple	simple	ADJ
ijassa-1217	236	10	singularities	singularity	NOUN
ijassa-1217	236	11	or	or	CCONJ
ijassa-1217	236	12	nearly	nearly	ADV
ijassa-1217	236	13	singular	singular	ADJ
ijassa-1217	236	14	solutions	solution	NOUN
ijassa-1217	236	15	.	.	PUNCT
ijassa-1217	237	1	siam	siam	PROPN
ijassa-1217	237	2	rev	rev	PROPN
ijassa-1217	237	3	.	.	PROPN
ijassa-1217	237	4	27	27	NUM
ijassa-1217	237	5	,	,	PUNCT
ijassa-1217	237	6	537–563	537–563	NUM
ijassa-1217	237	7	.	.	PUNCT
ijassa-1217	238	1	copyright	copyright	NOUN
ijassa-1217	238	2	©	©	PROPN
ijassa-1217	238	3	2022	2022	NUM
ijassa-1217	238	4	assa	assa	NOUN
ijassa-1217	238	5	.	.	PUNCT
ijassa-1217	239	1	adv	adv	PROPN
ijassa-1217	239	2	syst	syst	PROPN
ijassa-1217	239	3	sci	sci	PROPN
ijassa-1217	239	4	appl	appl	PROPN
ijassa-1217	239	5	(	(	PUNCT
ijassa-1217	239	6	2022	2022	NUM
ijassa-1217	239	7	)	)	PUNCT
ijassa-1217	239	8	84	84	NUM
ijassa-1217	239	9	a.	a.	NOUN
ijassa-1217	239	10	f.	f.	PROPN
ijassa-1217	239	11	izmailov	izmailov	PROPN
ijassa-1217	239	12	,	,	PUNCT
ijassa-1217	239	13	i.	i.	PROPN
ijassa-1217	239	14	s.	s.	PROPN
ijassa-1217	239	15	rodin	rodin	PROPN
ijassa-1217	239	16	10	10	NUM
ijassa-1217	239	17	.	.	PUNCT
ijassa-1217	240	1	izmailov	izmailov	PROPN
ijassa-1217	240	2	,	,	PUNCT
ijassa-1217	240	3	a.f	a.f	PROPN
ijassa-1217	240	4	.	.	PROPN
ijassa-1217	240	5	(	(	PUNCT
ijassa-1217	240	6	2021	2021	NUM
ijassa-1217	240	7	)	)	PUNCT
ijassa-1217	240	8	accelerating	accelerate	VERB
ijassa-1217	240	9	convergence	convergence	NOUN
ijassa-1217	240	10	of	of	ADP
ijassa-1217	240	11	a	a	DET
ijassa-1217	240	12	globalized	globalize	VERB
ijassa-1217	240	13	sequential	sequential	ADJ
ijassa-1217	240	14	quadratic	quadratic	ADJ
ijassa-1217	240	15	programming	programming	NOUN
ijassa-1217	240	16	method	method	NOUN
ijassa-1217	240	17	to	to	ADP
ijassa-1217	240	18	critical	critical	ADJ
ijassa-1217	240	19	lagrange	lagrange	NOUN
ijassa-1217	240	20	multipliers	multiplier	NOUN
ijassa-1217	240	21	.	.	PUNCT
ijassa-1217	241	1	comput	comput	NOUN
ijassa-1217	241	2	.	.	PUNCT
ijassa-1217	242	1	optim	optim	PROPN
ijassa-1217	242	2	.	.	PUNCT
ijassa-1217	243	1	appl	appl	PROPN
ijassa-1217	243	2	.	.	PROPN
ijassa-1217	244	1	80	80	NUM
ijassa-1217	244	2	,	,	PUNCT
ijassa-1217	244	3	943	943	NUM
ijassa-1217	244	4	–	–	PUNCT
ijassa-1217	244	5	978	978	NUM
ijassa-1217	244	6	.	.	PUNCT
ijassa-1217	245	1	11	11	NUM
ijassa-1217	245	2	.	.	PUNCT
ijassa-1217	246	1	izmailov	izmailov	PROPN
ijassa-1217	246	2	,	,	PUNCT
ijassa-1217	246	3	a.f	a.f	PROPN
ijassa-1217	246	4	.	.	PROPN
ijassa-1217	246	5	,	,	PUNCT
ijassa-1217	246	6	kurennoy	kurennoy	PROPN
ijassa-1217	246	7	,	,	PUNCT
ijassa-1217	246	8	a.s	a.s	PROPN
ijassa-1217	246	9	.	.	PROPN
ijassa-1217	246	10	&	&	CCONJ
ijassa-1217	246	11	solodov	solodov	PROPN
ijassa-1217	246	12	,	,	PUNCT
ijassa-1217	246	13	m.v	m.v	PROPN
ijassa-1217	246	14	.	.	PROPN
ijassa-1217	247	1	(	(	PUNCT
ijassa-1217	247	2	2018	2018	NUM
ijassa-1217	247	3	)	)	PUNCT
ijassa-1217	247	4	critical	critical	ADJ
ijassa-1217	247	5	solutions	solution	NOUN
ijassa-1217	247	6	of	of	ADP
ijassa-1217	247	7	nonlinear	nonlinear	ADJ
ijassa-1217	247	8	equations	equation	NOUN
ijassa-1217	247	9	:	:	PUNCT
ijassa-1217	247	10	local	local	ADJ
ijassa-1217	247	11	attraction	attraction	NOUN
ijassa-1217	247	12	for	for	ADP
ijassa-1217	247	13	newton	newton	NOUN
ijassa-1217	247	14	-	-	PUNCT
ijassa-1217	247	15	type	type	NOUN
ijassa-1217	247	16	methods	method	NOUN
ijassa-1217	247	17	.	.	PUNCT
ijassa-1217	248	1	math	math	NOUN
ijassa-1217	248	2	.	.	PUNCT
ijassa-1217	249	1	program	program	NOUN
ijassa-1217	249	2	.	.	PUNCT
ijassa-1217	250	1	167	167	NUM
ijassa-1217	250	2	,	,	PUNCT
ijassa-1217	250	3	355–379	355–379	NUM
ijassa-1217	250	4	.	.	PUNCT
ijassa-1217	251	1	12	12	NUM
ijassa-1217	251	2	.	.	PUNCT
ijassa-1217	252	1	izmailov	izmailov	PROPN
ijassa-1217	252	2	,	,	PUNCT
ijassa-1217	252	3	a.f	a.f	PROPN
ijassa-1217	252	4	.	.	PROPN
ijassa-1217	252	5	,	,	PUNCT
ijassa-1217	252	6	kurennoy	kurennoy	PROPN
ijassa-1217	252	7	,	,	PUNCT
ijassa-1217	252	8	a.s	a.s	PROPN
ijassa-1217	252	9	.	.	PROPN
ijassa-1217	252	10	&	&	CCONJ
ijassa-1217	252	11	solodov	solodov	PROPN
ijassa-1217	252	12	,	,	PUNCT
ijassa-1217	252	13	m.v	m.v	PROPN
ijassa-1217	252	14	.	.	PROPN
ijassa-1217	253	1	(	(	PUNCT
ijassa-1217	253	2	2018	2018	NUM
ijassa-1217	253	3	)	)	PUNCT
ijassa-1217	253	4	critical	critical	ADJ
ijassa-1217	253	5	solutions	solution	NOUN
ijassa-1217	253	6	of	of	ADP
ijassa-1217	253	7	nonlinear	nonlinear	ADJ
ijassa-1217	253	8	equations	equation	NOUN
ijassa-1217	253	9	:	:	PUNCT
ijassa-1217	253	10	stability	stability	NOUN
ijassa-1217	253	11	issues	issue	NOUN
ijassa-1217	253	12	.	.	PUNCT
ijassa-1217	254	1	math	math	NOUN
ijassa-1217	254	2	.	.	PUNCT
ijassa-1217	255	1	program	program	NOUN
ijassa-1217	255	2	.	.	PUNCT
ijassa-1217	256	1	168	168	NUM
ijassa-1217	256	2	,	,	PUNCT
ijassa-1217	256	3	475–507	475–507	NUM
ijassa-1217	256	4	.	.	NOUN
ijassa-1217	256	5	13	13	NUM
ijassa-1217	256	6	.	.	PUNCT
ijassa-1217	257	1	izmailov	izmailov	PROPN
ijassa-1217	257	2	,	,	PUNCT
ijassa-1217	257	3	a.f	a.f	PROPN
ijassa-1217	257	4	.	.	PROPN
ijassa-1217	257	5	&	&	CCONJ
ijassa-1217	257	6	solodov	solodov	PROPN
ijassa-1217	257	7	,	,	PUNCT
ijassa-1217	257	8	m.v	m.v	PROPN
ijassa-1217	257	9	.	.	PROPN
ijassa-1217	258	1	(	(	PUNCT
ijassa-1217	258	2	2009	2009	NUM
ijassa-1217	258	3	)	)	PUNCT
ijassa-1217	258	4	degen	degen	NOUN
ijassa-1217	258	5	.	.	PUNCT
ijassa-1217	259	1	[	[	X
ijassa-1217	259	2	online	online	X
ijassa-1217	259	3	]	]	X
ijassa-1217	259	4	.	.	PUNCT
ijassa-1217	260	1	available	available	ADJ
ijassa-1217	260	2	http://w3.impa.br/˜optim/degen	http://w3.impa.br/˜optim/degen	PROPN
ijassa-1217	260	3	collection.zip	collection.zip	X
ijassa-1217	260	4	.	.	PUNCT
ijassa-1217	261	1	14	14	NUM
ijassa-1217	261	2	.	.	PUNCT
ijassa-1217	262	1	izmailov	izmailov	PROPN
ijassa-1217	262	2	,	,	PUNCT
ijassa-1217	262	3	a.f	a.f	PROPN
ijassa-1217	262	4	.	.	PROPN
ijassa-1217	262	5	&	&	CCONJ
ijassa-1217	262	6	solodov	solodov	PROPN
ijassa-1217	262	7	,	,	PUNCT
ijassa-1217	262	8	m.v	m.v	PROPN
ijassa-1217	262	9	.	.	PROPN
ijassa-1217	262	10	(	(	PUNCT
ijassa-1217	262	11	2009	2009	NUM
ijassa-1217	262	12	)	)	PUNCT
ijassa-1217	262	13	on	on	ADP
ijassa-1217	262	14	attraction	attraction	NOUN
ijassa-1217	262	15	of	of	ADP
ijassa-1217	262	16	newton	newton	NOUN
ijassa-1217	262	17	-	-	PUNCT
ijassa-1217	262	18	type	type	NOUN
ijassa-1217	262	19	iterates	iterate	VERB
ijassa-1217	262	20	to	to	ADP
ijassa-1217	262	21	multipliers	multiplier	NOUN
ijassa-1217	262	22	violating	violate	VERB
ijassa-1217	262	23	second	second	ADJ
ijassa-1217	262	24	-	-	PUNCT
ijassa-1217	262	25	order	order	NOUN
ijassa-1217	262	26	sufficiency	sufficiency	NOUN
ijassa-1217	262	27	conditions	condition	NOUN
ijassa-1217	262	28	.	.	PUNCT
ijassa-1217	263	1	math	math	NOUN
ijassa-1217	263	2	.	.	PUNCT
ijassa-1217	264	1	program	program	NOUN
ijassa-1217	264	2	.	.	PUNCT
ijassa-1217	265	1	117	117	NUM
ijassa-1217	265	2	,	,	PUNCT
ijassa-1217	265	3	271	271	NUM
ijassa-1217	265	4	–	–	PUNCT
ijassa-1217	265	5	304	304	NUM
ijassa-1217	265	6	.	.	NOUN
ijassa-1217	265	7	15	15	NUM
ijassa-1217	265	8	.	.	PUNCT
ijassa-1217	265	9	izmailov	izmailov	PROPN
ijassa-1217	265	10	,	,	PUNCT
ijassa-1217	265	11	a.f	a.f	PROPN
ijassa-1217	265	12	.	.	PROPN
ijassa-1217	265	13	&	&	CCONJ
ijassa-1217	265	14	solodov	solodov	PROPN
ijassa-1217	265	15	,	,	PUNCT
ijassa-1217	265	16	m.v	m.v	PROPN
ijassa-1217	265	17	.	.	PROPN
ijassa-1217	265	18	(	(	PUNCT
ijassa-1217	265	19	2009	2009	NUM
ijassa-1217	265	20	)	)	PUNCT
ijassa-1217	265	21	examples	example	NOUN
ijassa-1217	265	22	of	of	ADP
ijassa-1217	265	23	dual	dual	ADJ
ijassa-1217	265	24	behaviour	behaviour	NOUN
ijassa-1217	265	25	of	of	ADP
ijassa-1217	265	26	newton	newton	PROPN
ijassa-1217	265	27	-	-	PUNCT
ijassa-1217	265	28	type	type	NOUN
ijassa-1217	265	29	methods	method	NOUN
ijassa-1217	265	30	on	on	ADP
ijassa-1217	265	31	optimization	optimization	NOUN
ijassa-1217	265	32	problems	problem	NOUN
ijassa-1217	265	33	with	with	ADP
ijassa-1217	265	34	degenerate	degenerate	ADJ
ijassa-1217	265	35	constraints	constraint	NOUN
ijassa-1217	265	36	.	.	PUNCT
ijassa-1217	266	1	comput	comput	NOUN
ijassa-1217	266	2	.	.	PUNCT
ijassa-1217	267	1	optim	optim	PROPN
ijassa-1217	267	2	.	.	PUNCT
ijassa-1217	268	1	appl	appl	PROPN
ijassa-1217	268	2	.	.	PROPN
ijassa-1217	269	1	42	42	NUM
ijassa-1217	269	2	,	,	PUNCT
ijassa-1217	269	3	231–264	231–264	NUM
ijassa-1217	269	4	.	.	PUNCT
ijassa-1217	270	1	16	16	NUM
ijassa-1217	270	2	.	.	PUNCT
ijassa-1217	271	1	izmailov	izmailov	PROPN
ijassa-1217	271	2	,	,	PUNCT
ijassa-1217	271	3	a.f	a.f	PROPN
ijassa-1217	271	4	.	.	PROPN
ijassa-1217	271	5	&	&	CCONJ
ijassa-1217	271	6	solodov	solodov	PROPN
ijassa-1217	271	7	,	,	PUNCT
ijassa-1217	271	8	m.v	m.v	PROPN
ijassa-1217	271	9	.	.	PROPN
ijassa-1217	271	10	(	(	PUNCT
ijassa-1217	271	11	2011	2011	NUM
ijassa-1217	271	12	)	)	PUNCT
ijassa-1217	271	13	on	on	ADP
ijassa-1217	271	14	attraction	attraction	NOUN
ijassa-1217	271	15	of	of	ADP
ijassa-1217	271	16	linearly	linearly	ADV
ijassa-1217	271	17	constrained	constrain	VERB
ijassa-1217	271	18	lagrangian	lagrangian	ADJ
ijassa-1217	271	19	methods	method	NOUN
ijassa-1217	271	20	and	and	CCONJ
ijassa-1217	271	21	of	of	ADP
ijassa-1217	271	22	stabilized	stabilized	ADJ
ijassa-1217	271	23	and	and	CCONJ
ijassa-1217	271	24	quasi	quasi	ADJ
ijassa-1217	271	25	-	-	PROPN
ijassa-1217	271	26	newton	newton	PROPN
ijassa-1217	271	27	sqp	sqp	PROPN
ijassa-1217	271	28	methods	method	NOUN
ijassa-1217	271	29	to	to	ADP
ijassa-1217	271	30	critical	critical	ADJ
ijassa-1217	271	31	multipliers	multiplier	NOUN
ijassa-1217	271	32	.	.	PUNCT
ijassa-1217	272	1	math	math	NOUN
ijassa-1217	272	2	.	.	PUNCT
ijassa-1217	273	1	program	program	NOUN
ijassa-1217	273	2	.	.	PUNCT
ijassa-1217	274	1	126	126	NUM
ijassa-1217	274	2	,	,	PUNCT
ijassa-1217	274	3	231–257	231–257	NUM
ijassa-1217	274	4	.	.	NOUN
ijassa-1217	275	1	17	17	NUM
ijassa-1217	275	2	.	.	PUNCT
ijassa-1217	276	1	izmailov	izmailov	PROPN
ijassa-1217	276	2	,	,	PUNCT
ijassa-1217	276	3	a.f	a.f	PROPN
ijassa-1217	276	4	.	.	PROPN
ijassa-1217	276	5	&	&	CCONJ
ijassa-1217	276	6	solodov	solodov	PROPN
ijassa-1217	276	7	,	,	PUNCT
ijassa-1217	276	8	m.v	m.v	PROPN
ijassa-1217	276	9	.	.	PROPN
ijassa-1217	276	10	(	(	PUNCT
ijassa-1217	276	11	2012	2012	NUM
ijassa-1217	276	12	)	)	PUNCT
ijassa-1217	276	13	stabilized	stabilize	VERB
ijassa-1217	276	14	sqp	sqp	PROPN
ijassa-1217	276	15	revisited	revisit	VERB
ijassa-1217	276	16	.	.	PUNCT
ijassa-1217	277	1	math	math	NOUN
ijassa-1217	277	2	.	.	PUNCT
ijassa-1217	278	1	program	program	NOUN
ijassa-1217	278	2	.	.	PUNCT
ijassa-1217	279	1	133	133	NUM
ijassa-1217	279	2	,	,	PUNCT
ijassa-1217	279	3	93–120	93–120	NUM
ijassa-1217	279	4	.	.	PUNCT
ijassa-1217	280	1	18	18	NUM
ijassa-1217	280	2	.	.	X
ijassa-1217	280	3	izmailov	izmailov	PROPN
ijassa-1217	280	4	,	,	PUNCT
ijassa-1217	280	5	a.f	a.f	PROPN
ijassa-1217	280	6	.	.	PROPN
ijassa-1217	280	7	&	&	CCONJ
ijassa-1217	280	8	solodov	solodov	PROPN
ijassa-1217	280	9	,	,	PUNCT
ijassa-1217	280	10	m.v	m.v	PROPN
ijassa-1217	280	11	.	.	PROPN
ijassa-1217	281	1	(	(	PUNCT
ijassa-1217	281	2	2014	2014	NUM
ijassa-1217	281	3	)	)	PUNCT
ijassa-1217	281	4	newton	newton	NOUN
ijassa-1217	281	5	-	-	PUNCT
ijassa-1217	281	6	type	type	NOUN
ijassa-1217	281	7	methods	method	NOUN
ijassa-1217	281	8	for	for	ADP
ijassa-1217	281	9	optimization	optimization	NOUN
ijassa-1217	281	10	and	and	CCONJ
ijassa-1217	281	11	variational	variational	ADJ
ijassa-1217	281	12	problems	problem	NOUN
ijassa-1217	281	13	.	.	PUNCT
ijassa-1217	282	1	cham	cham	PROPN
ijassa-1217	282	2	,	,	PUNCT
ijassa-1217	282	3	switzerland	switzerland	PROPN
ijassa-1217	282	4	:	:	PUNCT
ijassa-1217	282	5	springer	springer	NOUN
ijassa-1217	282	6	series	series	NOUN
ijassa-1217	282	7	in	in	ADP
ijassa-1217	282	8	operations	operation	NOUN
ijassa-1217	282	9	research	research	NOUN
ijassa-1217	282	10	and	and	CCONJ
ijassa-1217	282	11	financial	financial	ADJ
ijassa-1217	282	12	engineering	engineering	NOUN
ijassa-1217	282	13	,	,	PUNCT
ijassa-1217	282	14	springer	springer	NOUN
ijassa-1217	282	15	international	international	ADJ
ijassa-1217	282	16	publishing	publishing	NOUN
ijassa-1217	282	17	.	.	PUNCT
ijassa-1217	283	1	19	19	NUM
ijassa-1217	283	2	.	.	X
ijassa-1217	283	3	izmailov	izmailov	PROPN
ijassa-1217	283	4	,	,	PUNCT
ijassa-1217	283	5	a.f	a.f	PROPN
ijassa-1217	283	6	.	.	PROPN
ijassa-1217	283	7	&	&	CCONJ
ijassa-1217	283	8	solodov	solodov	PROPN
ijassa-1217	283	9	,	,	PUNCT
ijassa-1217	283	10	m.v	m.v	PROPN
ijassa-1217	283	11	.	.	PROPN
ijassa-1217	284	1	(	(	PUNCT
ijassa-1217	284	2	2015	2015	NUM
ijassa-1217	284	3	)	)	PUNCT
ijassa-1217	284	4	critical	critical	ADJ
ijassa-1217	284	5	lagrange	lagrange	NOUN
ijassa-1217	284	6	multipliers	multiplier	NOUN
ijassa-1217	284	7	:	:	PUNCT
ijassa-1217	284	8	what	what	PRON
ijassa-1217	284	9	we	we	PRON
ijassa-1217	284	10	currently	currently	ADV
ijassa-1217	284	11	know	know	VERB
ijassa-1217	284	12	about	about	ADP
ijassa-1217	284	13	them	they	PRON
ijassa-1217	284	14	,	,	PUNCT
ijassa-1217	284	15	how	how	SCONJ
ijassa-1217	284	16	they	they	PRON
ijassa-1217	284	17	spoil	spoil	VERB
ijassa-1217	284	18	our	our	PRON
ijassa-1217	284	19	lives	life	NOUN
ijassa-1217	284	20	,	,	PUNCT
ijassa-1217	284	21	and	and	CCONJ
ijassa-1217	284	22	what	what	PRON
ijassa-1217	284	23	we	we	PRON
ijassa-1217	284	24	can	can	AUX
ijassa-1217	284	25	do	do	VERB
ijassa-1217	284	26	about	about	ADP
ijassa-1217	284	27	it	it	PRON
ijassa-1217	284	28	.	.	PUNCT
ijassa-1217	285	1	top	top	ADJ
ijassa-1217	285	2	23	23	NUM
ijassa-1217	285	3	,	,	PUNCT
ijassa-1217	285	4	1–26	1–26	NOUN
ijassa-1217	285	5	.	.	PUNCT
ijassa-1217	286	1	20	20	NUM
ijassa-1217	286	2	.	.	X
ijassa-1217	286	3	izmailov	izmailov	PROPN
ijassa-1217	286	4	,	,	PUNCT
ijassa-1217	286	5	a.f	a.f	PROPN
ijassa-1217	286	6	.	.	PROPN
ijassa-1217	286	7	&	&	CCONJ
ijassa-1217	286	8	solodov	solodov	PROPN
ijassa-1217	286	9	,	,	PUNCT
ijassa-1217	286	10	m.v	m.v	PROPN
ijassa-1217	286	11	.	.	PROPN
ijassa-1217	287	1	(	(	PUNCT
ijassa-1217	287	2	2016	2016	NUM
ijassa-1217	287	3	)	)	PUNCT
ijassa-1217	287	4	some	some	DET
ijassa-1217	287	5	new	new	ADJ
ijassa-1217	287	6	facts	fact	NOUN
ijassa-1217	287	7	about	about	ADP
ijassa-1217	287	8	sequential	sequential	ADJ
ijassa-1217	287	9	quadratic	quadratic	ADJ
ijassa-1217	287	10	programming	programming	NOUN
ijassa-1217	287	11	methods	method	NOUN
ijassa-1217	287	12	employing	employ	VERB
ijassa-1217	287	13	second	second	ADJ
ijassa-1217	287	14	derivatives	derivative	NOUN
ijassa-1217	287	15	.	.	PUNCT
ijassa-1217	288	1	optim	optim	ADJ
ijassa-1217	288	2	.	.	PUNCT
ijassa-1217	288	3	meth	meth	NOUN
ijassa-1217	288	4	.	.	PUNCT
ijassa-1217	289	1	software	software	NOUN
ijassa-1217	289	2	31	31	NUM
ijassa-1217	289	3	,	,	PUNCT
ijassa-1217	289	4	1111–1131	1111–1131	NUM
ijassa-1217	289	5	.	.	PUNCT
ijassa-1217	290	1	21	21	NUM
ijassa-1217	290	2	.	.	PUNCT
ijassa-1217	290	3	izmailov	izmailov	PROPN
ijassa-1217	290	4	,	,	PUNCT
ijassa-1217	290	5	a.f	a.f	PROPN
ijassa-1217	290	6	.	.	PROPN
ijassa-1217	290	7	,	,	PUNCT
ijassa-1217	290	8	solodov	solodov	PROPN
ijassa-1217	290	9	,	,	PUNCT
ijassa-1217	290	10	m.v	m.v	PROPN
ijassa-1217	290	11	.	.	PROPN
ijassa-1217	290	12	&	&	CCONJ
ijassa-1217	290	13	uskov	uskov	PROPN
ijassa-1217	290	14	,	,	PUNCT
ijassa-1217	290	15	e.i	e.i	PROPN
ijassa-1217	290	16	.	.	PROPN
ijassa-1217	290	17	(	(	PUNCT
ijassa-1217	290	18	2015	2015	NUM
ijassa-1217	290	19	)	)	PUNCT
ijassa-1217	290	20	combining	combine	VERB
ijassa-1217	290	21	stabilized	stabilize	VERB
ijassa-1217	290	22	sqp	sqp	NOUN
ijassa-1217	290	23	with	with	ADP
ijassa-1217	290	24	the	the	DET
ijassa-1217	290	25	augmented	augment	VERB
ijassa-1217	290	26	lagrangian	lagrangian	ADJ
ijassa-1217	290	27	algorithm	algorithm	NOUN
ijassa-1217	290	28	comput	comput	NOUN
ijassa-1217	290	29	.	.	PUNCT
ijassa-1217	291	1	optim	optim	PROPN
ijassa-1217	291	2	.	.	PUNCT
ijassa-1217	291	3	appl	appl	PROPN
ijassa-1217	291	4	.	.	PROPN
ijassa-1217	292	1	62	62	NUM
ijassa-1217	292	2	,	,	PUNCT
ijassa-1217	292	3	405–429	405–429	NUM
ijassa-1217	292	4	.	.	NOUN
ijassa-1217	293	1	22	22	NUM
ijassa-1217	293	2	.	.	PUNCT
ijassa-1217	294	1	li	li	PROPN
ijassa-1217	294	2	,	,	PUNCT
ijassa-1217	294	3	d.-h	d.-h	PROPN
ijassa-1217	294	4	.	.	PUNCT
ijassa-1217	294	5	&	&	CCONJ
ijassa-1217	294	6	qi	qi	PROPN
ijassa-1217	294	7	,	,	PUNCT
ijassa-1217	294	8	l.	l.	PROPN
ijassa-1217	294	9	(	(	PUNCT
ijassa-1217	294	10	2000	2000	NUM
ijassa-1217	294	11	)	)	PUNCT
ijassa-1217	294	12	stabilized	stabilize	VERB
ijassa-1217	294	13	sqp	sqp	PROPN
ijassa-1217	294	14	method	method	NOUN
ijassa-1217	294	15	via	via	ADP
ijassa-1217	294	16	linear	linear	PROPN
ijassa-1217	294	17	equations	equation	NOUN
ijassa-1217	294	18	.	.	PUNCT
ijassa-1217	295	1	applied	apply	VERB
ijassa-1217	295	2	mathematics	mathematics	PROPN
ijassa-1217	295	3	technical	technical	ADJ
ijassa-1217	295	4	reptort	reptort	PROPN
ijassa-1217	295	5	amr00/5	amr00/5	PROPN
ijassa-1217	295	6	.	.	PUNCT
ijassa-1217	296	1	university	university	NOUN
ijassa-1217	296	2	of	of	ADP
ijassa-1217	296	3	new	new	ADJ
ijassa-1217	296	4	south	south	PROPN
ijassa-1217	296	5	wales	wales	PROPN
ijassa-1217	296	6	,	,	PUNCT
ijassa-1217	296	7	sydney	sydney	PROPN
ijassa-1217	296	8	.	.	PUNCT
ijassa-1217	297	1	23	23	NUM
ijassa-1217	297	2	.	.	PUNCT
ijassa-1217	298	1	nocedal	nocedal	PROPN
ijassa-1217	298	2	,	,	PUNCT
ijassa-1217	298	3	j.	j.	PROPN
ijassa-1217	298	4	&	&	CCONJ
ijassa-1217	298	5	wright	wright	PROPN
ijassa-1217	298	6	,	,	PUNCT
ijassa-1217	298	7	s.j	s.j	PROPN
ijassa-1217	298	8	.	.	PROPN
ijassa-1217	298	9	(	(	PUNCT
ijassa-1217	298	10	2006	2006	NUM
ijassa-1217	298	11	)	)	PUNCT
ijassa-1217	298	12	numerical	numerical	ADJ
ijassa-1217	298	13	optimization	optimization	NOUN
ijassa-1217	298	14	.	.	PUNCT
ijassa-1217	299	1	2nd	2nd	PROPN
ijassa-1217	299	2	edition	edition	PROPN
ijassa-1217	299	3	.	.	PUNCT
ijassa-1217	300	1	new	new	PROPN
ijassa-1217	300	2	york	york	PROPN
ijassa-1217	300	3	,	,	PUNCT
ijassa-1217	300	4	berlin	berlin	PROPN
ijassa-1217	300	5	,	,	PUNCT
ijassa-1217	300	6	heidelberg	heidelberg	PROPN
ijassa-1217	300	7	:	:	PUNCT
ijassa-1217	300	8	springer	springer	NOUN
ijassa-1217	300	9	-	-	PUNCT
ijassa-1217	300	10	verlag	verlag	PROPN
ijassa-1217	300	11	.	.	PUNCT
ijassa-1217	301	1	24	24	NUM
ijassa-1217	301	2	.	.	X
ijassa-1217	302	1	wright	wright	PROPN
ijassa-1217	302	2	,	,	PUNCT
ijassa-1217	302	3	s.j	s.j	PROPN
ijassa-1217	302	4	.	.	PROPN
ijassa-1217	302	5	(	(	PUNCT
ijassa-1217	302	6	1998	1998	NUM
ijassa-1217	302	7	)	)	PUNCT
ijassa-1217	302	8	superlinear	superlinear	NOUN
ijassa-1217	302	9	convergence	convergence	NOUN
ijassa-1217	302	10	of	of	ADP
ijassa-1217	302	11	a	a	DET
ijassa-1217	302	12	stabilized	stabilize	VERB
ijassa-1217	302	13	sqp	sqp	PROPN
ijassa-1217	302	14	method	method	NOUN
ijassa-1217	302	15	to	to	ADP
ijassa-1217	302	16	a	a	DET
ijassa-1217	302	17	degenerate	degenerate	ADJ
ijassa-1217	302	18	solution	solution	NOUN
ijassa-1217	302	19	.	.	PUNCT
ijassa-1217	303	1	comput	comput	NOUN
ijassa-1217	303	2	.	.	PUNCT
ijassa-1217	304	1	optim	optim	PROPN
ijassa-1217	304	2	.	.	PUNCT
ijassa-1217	305	1	appl	appl	PROPN
ijassa-1217	305	2	.	.	PROPN
ijassa-1217	306	1	11	11	NUM
ijassa-1217	306	2	,	,	PUNCT
ijassa-1217	306	3	253–275	253–275	NUM
ijassa-1217	306	4	.	.	PUNCT
ijassa-1217	307	1	copyright	copyright	NOUN
ijassa-1217	307	2	©	©	PROPN
ijassa-1217	307	3	2022	2022	NUM
ijassa-1217	307	4	assa	assa	NOUN
ijassa-1217	307	5	.	.	PUNCT
ijassa-1217	308	1	adv	adv	PROPN
ijassa-1217	308	2	syst	syst	PROPN
ijassa-1217	308	3	sci	sci	PROPN
ijassa-1217	308	4	appl	appl	PROPN
ijassa-1217	308	5	(	(	PUNCT
ijassa-1217	308	6	2022	2022	NUM
ijassa-1217	308	7	)	)	PUNCT
ijassa-1217	308	8	introduction	introduction	NOUN
ijassa-1217	308	9	nonlinear	nonlinear	ADJ
ijassa-1217	308	10	equations	equation	NOUN
ijassa-1217	308	11	and	and	CCONJ
ijassa-1217	308	12	equality	equality	NOUN
ijassa-1217	308	13	-	-	PUNCT
ijassa-1217	308	14	constrained	constrain	VERB
ijassa-1217	308	15	optimization	optimization	NOUN
ijassa-1217	308	16	optimization	optimization	NOUN
ijassa-1217	308	17	with	with	ADP
ijassa-1217	308	18	inequality	inequality	NOUN
ijassa-1217	308	19	constraints	constraint	NOUN
ijassa-1217	308	20	numerical	numerical	ADJ
ijassa-1217	308	21	experiments	experiment	NOUN
ijassa-1217	308	22	concluding	conclude	VERB
ijassa-1217	308	23	remarks	remark	NOUN