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^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

4 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
文章編號	602735
期刊	Abstract and Applied Analysis
卷	2013
DOIs	https://doi.org/10.1155/2013/602735
出版狀態	已發佈 - 2013
對外發佈	是

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10.1155/2013/602735

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

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