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学术报告114:Pedro Patricio—Telescoping sums and linear recurrence relations

鸿博体育(集团)有限公司:2021-12-15 作者: 点击数:

报告鸿博体育(集团)有限公司20211215日(星期三)19:00-20:30

报告地点:腾讯会议:328-934-802

Pedro Patricio 教授

工作单位University of Minho

举办单位:鸿博体育(集团)有限公司

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, University of Minho. He served as Director of CMAT, University of Minho. His research interests include generalized inverses and partial orders.  He has published more than 50 peer reviewed papers in leading journals including Linear Algebra Appl., Linear Multilinear Algebra, Electron. J. Linear Algebra, and J. Aust. Math. Soc. etc.


报告简介Euclid's Algorithm is, without question, one of the most important ``super algorithms" in mathematics. It is fast and can be executed efficiently via recurrence relations. In this talk we shall extend this algorithm to  binomials, geometric sums  and corner sums. ``Telescoping sums" appear in many branches of mathematics, from block matrices to convergence  and from iteration to polynomial division. Such sums appear naturally when considering the Drazin inverse of triangular block matrices.


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