数学科学系

Department of Mathematical Sciences

Tensor Complementarity Problems

报告人: 黄正海教授 (天津大学)

时间: 2018年11月16日下午3:30-4:30

地点:理科楼A304

邀请人:张立平

摘要: Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor complementarity problem (TCP) is a class of nonlinear complementarity problems with the involved function being defined by a tensor, which is also a direct and natural extension of the linear complementarity problem. In the last several years, the TCP has attracted a lot of attention; and has been studied extensively, from theory to solution methods and applications. This talk aims at contributing to review the state-of-the-art of studies for the TCP and related models.

报告人简介: 黄正海,天津大学数学学院教授、博士生导师。主要从事最优化理论、算法及其应用方面的研究工作,在求解互补与变分不等式问题、对称锥优化与对称锥互补问题、稀疏优化、张量优化、核磁共振医学成像、人脸识别等方面取得了一些有意义的成果。已发表论文百余篇、连续获得多项国家自然科学基金资助。曾获得教育部高等学校自然科学奖二等奖。目前为中国运筹学会常务理事;国际期刊《Pacific Journal of Optimization》、《Applied Mathematics and Computation》和《Optimization,Statistics & Information Computing》的编委、中国核心期刊《运筹学学报》的编委。