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Date of Publication:2022-10-09

Journal:大连理工大学学报

Issue:1

Page Number:110-114

ISSN No.:1000-8608

Abstract:Jacobian uniqueness conditions for nonlinear semidefinite programming are presented, under which,the mapping characterizing the KKT conditions is demonstrated to have a nonsingular derivative at the KKT point. Under the Jacobian uniqueness conditions, stability theorem for nonlinear semidefinite programming is proved and the necessary optimality conditions for a special bi-level program,whose lower level problem is a nonlinear semidefinite optimization problem,are established.

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