题  目:Constructions of new complementarity functions for NCP and SOCCP

报告人：陈界山 教授

时  间：2019年10月11日上午8：30—10：00

地  点：怀远校区宁远楼314会议室

摘  要：It is well known that complementarity functions play an important role in dealing with complementarity problems. In this talk, we propose a few new classes of complementarity functions for nonlinear complementarity problems and second-order cone complementarity problems. The constructions of such new complementarity functions are based on discrete generalization which is a novel idea in contrast to the continuous generalization of Fischer–Burmeister function. Surprisingly, these new families of complementarity functions possess continuous differentiability even though they are discrete-oriented extensions. This feature enables that some methods like derivative-free algorithm can be employed directly for solving nonlinear complementarity problems and second-order cone complementarity problems. This is a new discovery to the literature and we believe that such new complementarity functions can also be used in many other contexts.

报告人简介

陈界山，台湾师范大学专任教授、特聘教授，2004年获得美国华盛顿大学博士学位，在国际优化界是一位知名度很高的学者。在最优化理论、非光滑分析等研究方向颇有建树。在国际上发表了高水平的学术论文一百多篇，曾多次受邀在国际优化方面宝盈娱乐app中汇报相关研究成果。现在的研究方向偏向于锥优化问题和锥互补问题的理论分析与算法设计。

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数学统计学院

2019年10月10日