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论文类型：期刊论文

发表时间：2015-06-01

发表刊物：SET-VALUED AND VARIATIONAL ANALYSIS

收录刊物：SCIE、Scopus

卷号：23

期号：2

页面范围：277-294

ISSN号：1877-0533

关键字：Semidefinite cone; Complementarity constraints; Penalty function methods; Stationary points

摘要：This paper is devoted to the study of properties of the bilinear penalty function method for the mathematical programs with semidefinite cone complementarity constraints(SDCMPCC), in which the complementarity constraint appears as a bilinear penalty term in the objective. We discuss the relationships of solutions between the SDCMPCC and its bilinear penalty problem as well as the second order sufficient conditions and the constraint qualifications between these two problems. Moreover, under certain conditions, we demonstrate that any accumulation point of the sequence generated by the bilinear penalty function method is an S-stationary point of the SDCMPCC.