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 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.

• Type: Journal
• Year: 2006
• Where: MOR
• Authors: Defeng Sun
• Keywords: Constraint Qualification, MOR 2006, Nonlinear Semidefinite Programming, Order Sufficient Condition