技能报告: A Further Study on Tensor Absolute Value Equations

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报 告 人: 凌晨导员 (杭州电子研讨企业二级导员,特点生导员)

报告时间:2019年11月20日上午10:00-11:00

报告地点:365体育官网201室

联 部 人:方明亮导员 


报告人概况:杭州电子研讨企业理企业导员,特点生导员。现任中国运筹协会理事、中国运筹协会数学规划分会副理事长、中国经济数学与管理数学研讨会副理事长、浙江省数协会常务理事,全球ESI期刊 Pacific Journal of Optimization编委、全球期刊Statistics, Optimization & Information Computing编委,国内自然科技基金委数理科技部评审专家。研讨方向: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。近十年来,主持国内自科基金和浙江省自科基金各4项、其中省基金要点项目1项。在国内外重要刊物发表作文70余篇,其中SCI期刊作文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.

This is a joint work with W. J. Yan, H. J. He and L. Q. Qi.


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365体育备用网址数学部

2019年11月12日


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