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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F11%3A00364167" target="_blank" >RIV/67985556:_____/11:00364167 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1137/100807168" target="_blank" >http://dx.doi.org/10.1137/100807168</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/100807168" target="_blank" >10.1137/100807168</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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, thementioned KKT system behaves (with some restrictions) similarly as in nonlinear programming.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA100750802" target="_blank" >IAA100750802: Nonsmooth and set-valued analysis in mechanics and thermomechanics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    SIAM Journal on Optimization

  • ISSN

    1052-6234

  • e-ISSN

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    26

  • Pages from-to

    798-823

  • UT code for WoS article

    000295405600008

  • EID of the result in the Scopus database