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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F11%3A00364167%21RIV12-AV0-67985556
rdf:type
n7:Vysledek skos:Concept
dcterms: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.
dcterms: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
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
skos:notation
RIV/67985556:_____/11:00364167!RIV12-AV0-67985556
n7:predkladatel
n8:ico%3A67985556
n5:aktivita
n11:P n11:Z
n5:aktivity
P(IAA100750802), Z(AV0Z10750506)
n5:cisloPeriodika
3
n5:dodaniDat
n13:2012
n5:domaciTvurceVysledku
n18:5919835
n5:druhVysledku
n9:J
n5:duvernostUdaju
n16:S
n5:entitaPredkladatele
n10:predkladatel
n5:idSjednocenehoVysledku
218170
n5:idVysledku
RIV/67985556:_____/11:00364167
n5:jazykVysledku
n20:eng
n5:klicovaSlova
second-order cone programming; strong regularity; Aubin property
n5:klicoveSlovo
n14:second-order%20cone%20programming n14:strong%20regularity n14:Aubin%20property
n5:kodStatuVydavatele
US - Spojené státy americké
n5:kontrolniKodProRIV
[9EE80979258B]
n5:nazevZdroje
SIAM Journal on Optimization
n5:obor
n17:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
2
n5:projekt
n6:IAA100750802
n5:rokUplatneniVysledku
n13:2011
n5:svazekPeriodika
21
n5:tvurceVysledku
Outrata, Jiří Ramírez, H. C.
n5:wos
000295405600008
n5:zamer
n15:AV0Z10750506
s:issn
1052-6234
s:numberOfPages
26
n19:doi
10.1137/100807168