报告题目：Generalized inverses, matrix and operator equations IV: Matrix and operator equations-solvability conditions and general forms

报告简介：Although solvability conditions for a system of two linear equations are well-known even in the case of rings and, for 3 linear equations, in the case of matrices, in the case of 4 linear equations there are no results. In this lecture we will consider systems of four linear matrix equations AiXBi =Ci, i = 1,2,3,4 and present certain necessary and sufficient conditions for their solvability as well as an expression for the general solution. There are two advantages to our results: the obtained solvability conditions can be in many cases presented in a purely algebraic form and the method used in the proof allows for a generalization of the obtained results to more general structures such as algebras of bounded linear operators or rings, under some additional assumptions concerning regularity only. We will present several applications of our results.

报告人：Dragana S. Cvetković-Ilić

Department of Mathematics, Faculty of Science and Mathematics, University of Nis

报告人简介： Dragana S. Cvetković-Ilić 塞尔维亚Niš大学教授，主要从事广义逆理论及其应用方面的研究，在Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory等SCI杂志上发表学术论文80多篇，先后获塞尔维亚数学会颁发的数学科学成就奖、塞尔维亚最具影响力的40岁以下数学家国家奖、塞尔维亚“科学界的妇女”，现为国际线性代数学会高级会员，SCI杂志Filomat，Journal of Computational and Applied Mathematics，Annals of Functional Analysis的编委和杂志Facta Universitatis的主编。

报告时间：2021年4月23日（星期五）下午15:00

腾讯会议ID：168 475 022

主办单位：扬州大学数学科学学院

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