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论文类型：期刊论文
发表时间：2016-08-01
发表刊物：ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
收录刊物：SCIE、EI、Scopus
卷号：33
期号：4
ISSN号：0217-5959
关键字：Inverse linear semidefinite programming problems; mathematical program with semidefinite cone complementarity constraints; penalty methods; sequential convex program
摘要：This paper is devoted to the study of solving method for a type of inverse linear semi-definite programming problem in which both the objective parameter and the right-hand side parameter of the linear semidefinite programs are required to adjust. Since such kind of inverse problem is equivalent to a mathematical program with semidefinite cone complementarity constraints which is a rather difficult problem, we reformulate it as a nonconvex semi-definte programming problem by introducing a nonsmooth partial penalty function to penalize the complementarity constraint. The penalized problem is actually a nonsmooth DC programming problem which can be solved by a sequential convex program approach. Convergence analysis of the penalty models and the sequential convex program approach are shown. Numerical results are reported to demonstrate the efficiency of our approach.