Nonsingularity conditions for FB system of reformulating nonlinear second-order cone programming

Shaohua Pan, Shujun Bi, Jein Shan Chen

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Abstract

This paper is a counterpart of Bi et al., 2011. For a locally optimal solution to the nonlinear second-order cone programming (SOCP), specifically, under Robinson's constraint qualification, we establish the equivalence among the following three conditions: the nonsingularity of Clarke's Jacobian of Fischer-Burmeister (FB) nonsmooth system for the Karush-Kuhn-Tucker conditions, the strong second-order sufficient condition and constraint nondegeneracy, and the strong regularity of the Karush-Kuhn-Tucker point.

Original languageEnglish
Article number602735
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013 Apr 29

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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