About: On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs

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Description	We characterize the Aubin property of a canonically perturbed KKT system related to the second-order cone programming problem in terms of a strong second order optimality condition. This condition requires the positive definiteness of a quadratic form, involving the Hessian of the Lagrangian and an extra term, associated with the curvature of the constraint set, over the linear space generated by the cone of critical directions. Since this condition is equivalent with the Robinson strong regularity, the mentioned KKT system behaves (with some restrictions) similarly as in nonlinear programming. We characterize the Aubin property of a canonically perturbed KKT system related to the second-order cone programming problem in terms of a strong second order optimality condition. This condition requires the positive definiteness of a quadratic form, involving the Hessian of the Lagrangian and an extra term, associated with the curvature of the constraint set, over the linear space generated by the cone of critical directions. Since this condition is equivalent with the Robinson strong regularity, the mentioned KKT system behaves (with some restrictions) similarly as in nonlinear programming. (en)
Title	On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs (en)
skos:prefLabel	On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs (en)
skos:notation	RIV/67985556:_____/11:00364167!RIV12-AV0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100750802), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Outrata, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	218170
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/11:00364167
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	second-order cone programming; strong regularity; Aubin property (en)
http://linked.open.../riv/klicoveSlovo	Aubin property second-order cone programming strong regularity
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[9EE80979258B]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Optimization
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Nonsmooth and set-valued analysis in mechanics and thermomechanics
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	21
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Ramírez, H. C.
http://linked.open...ain/vavai/riv/wos	000295405600008
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	1052-6234
number of pages	26 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/100807168
is http://linked.open...avai/riv/vysledek of	On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs

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