报告题目：Generalized inverses, matrix and operator equations II: Different properties and characterizations of generalized inverses

报告简介：In this lecture we will discuss different properties of the DMP-inverse of a square matrix. We will characterize DMP-inverses of square matrices as outer inverses with prescribed range and null space, as (B;C)-inverses and as Drazin inverses. Also we will present several different characterizations based on their range and null space as well some algebraic ones. Also, we will focus on the class of the so called co-EP matrices. Several original features of the class are identified and new properties characterized. In some cases, the results available in the literature are recaptured in a more general form. An important part of the lecture will be devoted to the problem concerning completing an upper triangular matrix to a co-EP matrix, which has never been addressed in the literature so far.

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2日（星期五）下午15:00

腾讯会议ID：992 128 054

主办单位：扬州大学数学科学学院

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