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复旦大学数学科学学院魏益民教授应邀来我校讲学

作者: | 来源:数学学院 | 发布日期:2018-12-19

题目:Solving Multi-Linear Systems with M-Tensors
时间:2018年12月21日10:00
地点:立志楼A422
主办:数学与计算科学学院
报告人简介:
       魏益民,复旦大学数学科学学院教授,博士生导师。2000.9-2001.6,访问美国哈佛大学和麻省理工学院,任高访学者;2008年荣获“上海高校优秀青年教师”称号;2008年入选上海市‘曙光’学者。现为国际线性代数学会(ILAS)会员、美国数学会会员、美国工业与应用数学会(SIAM)会员、中国计算数学学会—线性代数专业委员会委员会员,美国数学评论评论员。同时担任Linear Algebra and its Applications,FILOMAT,高校计算数学学报等多个杂志的编委。已在国际国内学术刊物上发表论文250余篇,与他人合作出版著作《Generalized Inverses: Theory and Computations》(科学出版社,2004年)和英文教材《Numerical Linear Algebra and its Applications》(科学出版社,2004 年)。
报告摘要:
       This paper is concerned with solving some structured multi-linear systems,especially focusing on the equations whose coefficient tensors are M-tensors, or called M-equations for short. We prove that a nonsingularM-equation with a positive right-hand side always has a unique positive solution. Several iterative algorithms are proposed for solving multi-linear nonsingular M-equations, generalizing the classical iterative methods and the Newton method for linear systems. Furthermore, we apply theM-equations to some nonlinear differential equations and the inverse iteration for spectral radii of nonnegative tensors.

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