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

Shaohua Pan; Shujun Bi; Jein Shan Chen

doi:10.1155/2013/602735

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

Shaohua Pan, Shujun Bi, Jein Shan Chen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 language	English
Article number	602735
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/602735
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

author = "Shaohua Pan and Shujun Bi and Chen, {Jein Shan}",

year = "2013",

doi = "10.1155/2013/602735",

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AU - Pan, Shaohua

AU - Bi, Shujun

AU - Chen, Jein Shan

PY - 2013

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N2 - 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.

AB - 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.

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JF - Abstract and Applied Analysis

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

Abstract

ASJC Scopus subject areas

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