Nonsingularity conditions for FB system of reformulating nonlinear second - order cone programming 1

نویسندگان

  • Shaohua Pan
  • Shujun Bi
  • Jein-Shan Chen
چکیده

This paper is a counterpart of [2]. Specifically, for a locally optimal solution to the nonlinear second-order cone programming (SOCP), 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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تاریخ انتشار 2012