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Pedro Patricio: On power bounded matrices

时间:2021-12-08来源:数学学院

报告时间:2021年12月10日(星期五)19:00-21:00

报告平台:腾讯会议 ID:982 786 791

:Pedro Patricio 教授

工作单位University of Minho

举办单位:数学学院

报告简介

Prof. Pedro Patricio received his PhD degree in Mathematics from University of Minho, Portugal in 2002. He is currently a Professor in Department of Mathematics and Applications, University of Minho. He is the Director of the CMAT-center of Mathematics, University of Minho. His research interests include generalized inverses and partial orders.  He has published more than 40 peer reviewed papers in leading journals including Linear Algebra Appl., Linear Multilinear Algebra, Electron. J. Linear Algebra, and J. Aust. Math. Soc. etc.

报告人简介

A complex $n\times n$ matrix is power bounded - shortened to PB -  when there is a non-negative $M$ such that the inequalities $|(A^k)_{ij}| \le M$ hold  for all $i,j\in \{1,\dots,n\}$  and $k\in \mathbb{N}$. We will show that if $A$ is PB  then $I-A$ is group invertible. For the non-negative case, we will use the Frobenius Normal Form to characterize PB matrices.

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