Nonsingularity Conditions for FB System of Reformulating Nonlinear Second‐Order Cone Programming

Shaohua Pan, Shujun Bi and Jein-Shan Chen

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/602735

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:602735

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