报告题目：A FurtherStudy on Tensor Absolute Value Equations
报 告 人：凌晨（杭州电子科技大学教授/博导）
报告时间：2021年5月14日上午9：00—11：00
报告地点：S3-313
个人简介：
凌晨，杭州电子科技大学理学院教授，博士生导师。现任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，曾任中国运筹学会理事、中国系统工程学会理事、浙江省数学会常务理事。近十年来，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80余篇，多篇发表在Math. Program.、SIAM J. on Optim.和 SIAM J.on Matrix Anal.andAppl. 、COAP、JOTA、JOGO等。
摘要：In this talk, we consider the tensorabsolute value equations (TAVEs), which is a newly introduced problem in thecontext of multilinear systems. Although the system of TAVEs is an interestinggeneralization of matrix absolute value equations (AVEs), the well-developed theoryand algorithms for AVEs are not directly applicable to TAVEs due to thenonlinearity (or multilinearity) of the problem under consideration. Therefore,we first study the solutions existence of some classes of TAVEs with the helpof degree theory. Then, we give a bound of solutions of TAVEs for some specialcases. To find a solution to TAVEs, we employ the generalized Newton method andreport some preliminary results.This is a joint work with W. J. Yan, H. J. Heand L. Q. Qi.
上一条：学术报告会：Progress and Problems on Multi-Dimensional Compressible Euler Equations 下一条：学术报告会：Basic hypergeometric series associated to the root systems and Mock Theta Functions
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