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 |
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Article number | 602735 |
Journal | Abstract and Applied Analysis |
Volume | 2013 |
DOIs | |
Publication status | Published - 2013 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics