Title：Generalized inverses, matrix and operator equations II: Different properties and characterizations of generalized inverses

Abstract：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.

Speaker：Dragana S. Cvetković-Ilić，Department of Mathematics, Faculty of Science and Mathematics, University of Nis, Serbia

Dragana S. Cvetković-Ilić is a full professor of University of Nis, Serbia. Her main research field is the theory of generalized inverse and its applications. She has published more than 80 papers in SCI journals such as Linear Algebra Appl.，Proc. Amer. Math. Soc.，Linear & Multilinear Algebra，J. Austra. Math. Soc.，Acta Math. Sci.，Appl. Math. Comp.，J. Operator Theory and so on. She is a member of the Board of Directors of ILAS(International Linear Algebra Society), (3/2020-), member of the Editorial Board for the following journals: Journal of Computational and Applied Mathematics, Annals of Functional Analysis, FILOMAT, and FACTA UNIVERSITATIS, Series Mathematics and Informatics (Editor in Chief). She is also awarded by “For women in Sciences”, Loreal-Unesco, Serbia, and Award for achievements in Mathematical Sciences, Mathematical Society of Serbia.

Date：3:00pm-4:30pm 2021-4-2（Friday）.

Venue:

Tencent Meeting ID：992 128 054

Organizer：School of Mathematical Science

Students and teachers who are interested  are welcome.