报告时间：2020年10月30日上午10:30-11:50

报告地点：数计院会议室

报告题目：A Further Study on Tensor Absolute Value Equations

报告人：杭州电子科技大学凌晨教授

邀请人：童小娇校长

报告人简介：凌晨，杭州电子科技大学理学院教授、博士生导师。主要研究方向为：非线性规划、变分不等式与互补问题、张量计算、多变量多项式优化、半无限规划、随机规划、多目标优化理论与应用等。现任中国运筹学会理事、中国运筹学会数学规划分会副理事长、中国经济数学与管理数学研究会副理事长、浙江省数学会常务理事，国际ESI期刊 Pacific Journal of Optimization编委、国际期刊Statistics, Optimization & Information Computing编委，国家自然科学基金委数理科学部评审专家。近十年主持国家自科基金和浙江省自科基金各4项、其中省基金重点项目1项。在国内外重要刊物发表论文70余篇，其中SCI期刊论文50余篇，多篇发表在Math. Program.、SIAM J.on Optim.和 SIAM J.on Matrix Anal.and Appl. 、COAP、JOTA、JOGO等。

报告摘要：In this talk, we consider the tensor absolute value equations (TAVEs), which is a newly introduced problem in the context of multilinear systems. Although the system of TAVEs is an interesting generalization of matrix absolute value equations (AVEs), the well-developed theory and algorithms for AVEs are not directly applicable to TAVEs due to the nonlinearity (or multilinearity) of the problem under consideration. Therefore, we first study the solutions existence of some classes of TAVEs with the help of degree theory. Then, we give a bound of solutions of TAVEs for some special cases. To find a solution to TAVEs, we employ the generalized Newton method and report some preliminary results.