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Pedro Patricio 教授学术报告信息四则
发布日期:2019-06-03  字号:   【打印

报告地点:翡翠科教楼B1710

  Pedro Patricio 教授

工作单位University of Minho

举办单位:数学学院

报告人简介

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.

学术报告信息(一)

报告题目The group inverse of a product

报告时间:2019年6月5日(星期三)09:30-10:30

报告简介

The study of the group inverse of a product is not new. For example, given a ring R, the group inverse of a triplet paq for which a ∈ Rpa ∩aqR was characterized by Puystjens-Hartwig (LAMA, 1997) and applied to the group inverse of a companion matrix. Here, we are interested in the group inverse of a product of two (von Neumann) regular ring elements, with no extra conditions.

学术报告信息(二)

报告题目On power bounded matrices 

报告时间:2019年6月5日(星期三)15:00-16:00 

报告简介

A complex n by n matrix is power bounded when there is a non-negative M such that the inequalities (Ak)ij| ≤ M   hold  for all i,j∈ {1,,,,,n} and k ∈N. I will address the general complex case with aid of the Jordan Form and its spectral properties. In addition, a special canonical form is used. I will then derive results for block triangular matrices, and lastly,consider non-negative matrices. I will start this talk revisiting properties of the minimal polynomial of a matrix.

学术报告信息(三)

报告题目On crypto & coding: past, present and future (and the role of generalized inverses) 

报告时间:2019年6月11日(星期二)09:00-10:00 

报告简介

I will present some known results and algorithms concerning cryptography and coding theory, mainly focused on their algebraic roots.I will present  the quantum counterpart of "classical" error correcting codes, and the mathematical framework needed, constructing CSS codes using known linear codes.

学术报告信息(四)

报告题目The Group Inverse of the Nivellateur 

报告时间:2019年6月12日(星期三)16:00-17:00 

报告简介

The matrix equation AX −XB = C can be written in column form as Gvec(X) = vec(C).I will present necessary and sufficient conditions for the existence of the group inverse of this matrix in terms of A and B, and provide expressions for this group inverse.

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