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2011

Equivalent Conditions for Jacobian Nonsingularity in Linear Symmetric Cone Programming

11 years 11 days ago
Equivalent Conditions for Jacobian Nonsingularity in Linear Symmetric Cone Programming
In this paper we consider the linear symmetric cone programming (SCP). At a KarushKuhn-Tucker (KKT) point of SCP, we present the important equivalent conditions for the nonsingularity of Clarke’s generalized Jacobian of the KKT nonsmooth system, such as primal and dual constraint nondegeneracy, the strong regularity, and the nonsingularity of the B-subdifferential of the KKT system. This affirmatively answers an open question by Chan and Sun [SIAM J. Optim. 19 (2008), pp. 370-396].
Lingchen Kong, Levent Tunçel, Naihua Xiu
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where JOTA
Authors Lingchen Kong, Levent Tunçel, Naihua Xiu
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