主讲嘉宾：张庆洪博士 美国北密西根大学数学与计算机系教授

报告题目：Elimination of Variables Method in Linear Semi-infinite Programming

报告时间：2016年5月25日（星期三）上午10:00-11:30

报告地点：宝盈娱乐app数学统计学院314会议室

讲座简介：A semi-infinite programming problem is an optimization problem with a finite number of variables and an infinite number of constraints, or an infinite number of variables and a finite number of constraints. The concept was coined in 1962 by Charnes, Cooper, and Kortanek, and became an independent field in optimization since 1980s. Recently, the Fourier-Motzkin elimination method has been extended to linear inequality systems that have an infinite number of inequalities by Basu, Martin, and Ryan. The method has been used in the study of linear semi-infinite programming. In this talk, we will discuss some of the results obtained by Basu, Martin, and Ryan and point out the limitation of the elimination of variables method when applied to the study of linear semi-infinite programming problems.

报告人简介：张庆洪博士是美国北密西根大学数学与计算机系教授。1991年获得南开大学数学硕士学位，1999年获得The University of Iowa 计算机硕士学位，2002获得The University of Iowa应用数学博士学位。张庆洪教授是美国《数学评论》评论员，在Mathematical Programming, Optimization Methods and Software, Optimization, Nonlinear Analysis, Robotica等杂志发表40多篇学术论文，在加拿大、日本、法国、德国、葡萄牙等地多次参加国际学术会议。研究领域为半正定优化、半无穷优化、锥优化以及优化在工程中的应用。