The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
Defeng Sun (matsundfnus.edu.sg)
Abstract: For a locally optimal solution to the nonlinear semidefinite programming problem, under Robinson's constraint qualification, the following conditions are proved to be equivalent: the strong second order sufficient condition and constraint nondegeneracy; the nonsingularity of Clarke's Jacobian of the Karush-Kuhn-Tucker system; the strong regularity of the Karush-Kuhn-Tucker point; and others.
Keywords: Nonlinear Semidefinite Programming, Sensitivity Analysis, Equivalent Conditions
Category 1: Linear, Cone and Semidefinite Programming (Semi-definite Programming )
Category 2: Nonlinear Optimization (Other )
Citation: Technical Report, Department of Mathematics, National University of Singapore, Sinagpore, May 2005.
Entry Submitted: 06/20/2005
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