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发布日期:2017-10-09 09:16      来源:未知      点击:
人:陈界山教授
报告时间:2017年10月11日(周三)  13:30-15:30(两场)
    点:理学院学院报告厅(1号教学楼A404)
 
报告题目1Unified smoothing functions for absolute value equations
     要:In this talk, we focus on the absolute value equation (AVE) and one of itsextension, the absolute value equation associated with second order cone (SOCAVE). For each equation, we propose unified smoothing functions that can work along with smoothing-type algorithm. Some discovery based on numerical comparisons is ve -ry interesting which may suggest a good choice of smoothing function for the other contexts.
 
报告题目2 From symmetric cone optimization to non-symmetric cone optimization
     要: It well known that Euclidean Jordan algebra is a unified framework for symmetric cone programs, including positive semidefinite programs and second-order cone programs. Unlike symmetric cone programs, there is no unified analysis technique to deal with nonsymmetric cone programs. Nonetheless, there are several common concepts when dealing with general conic optimization. More specifically, we believe that spectral decomposition associated with cones, nonsmooth analysis regarding cone-functions, projections onto cones, and cone-convexity are the bridges between symmetric cone programs and nonsymmetric cone programs. Hence, this talk is devoted to looking into the first three items in the setting of nonsymmetric cones. The importance of cone-convexity is recognized in the literature so that it is not discussed here. All results presented in this paper are very crucial to subsequent study about the optimization problems associated with nonsymmetric cones.
 
陈界山教授简介:台湾师范大学数学系教授、主任,博士生导师。2004年于美国华盛顿大学获得博士学位。曾访问英国南安普敦大学、德国符兹堡大学和美国华盛顿大学等。研究方向主要为,最优化理论与应用、非光滑分析和运筹学。目前已经发表SCI论文98篇。任Taiwanese Journal of Mathematics、Communications in Optimization Theory、Linear and Nonlinear Analysis、Journal of Nonlinear and Convex Analysis、Pacific Journal of Optimization、Mathematical Problems in Engineering、The Scientific World Journal - Mathematical Analysis、Journal of Optimization等国际有影响力期刊的编委。现为台湾师范大学特聘教授和奖励特殊优秀人才。

                                                                                                                                       承办单位:理学院