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SIAMJO
2008
141views more  SIAMJO 2008»
11 years 6 months ago
Constraint Nondegeneracy, Strong Regularity, and Nonsingularity in Semidefinite Programming
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite programming can be reformulated as a nonsmooth system via the metric projector over the cone of symmetric ...
Zi Xian Chan, Defeng Sun
MOR
2006
80views more  MOR 2006»
11 years 6 months ago
The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implic
For a locally optimal solution to the nonlinear semidefinite programming problem, under Robinson's constraint qualification, the following conditions are proved to be equival...
Defeng Sun
JOTA
2011
104views more  JOTA 2011»
11 years 1 months 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 nonsingula...
Lingchen Kong, Levent Tunçel, Naihua Xiu
MP
2008
91views more  MP 2008»
11 years 6 months ago
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
We analyze the rate of local convergence of the augmented Lagrangian method for nonlinear semidefinite optimization. The presence of the positive semidefinite cone constraint requ...
Defeng Sun, Jie Sun, Liwei Zhang
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