报告题目: | Travelling from matrices to matrix polynomials |
报 告 人: | Prof. Panayiotis (Panos) Psarrakos |
National Technical University of Athens | |
报告时间: | 6月13日(周六)上午9:00-10:00 |
报告地点: | 九龙湖校区数学系第一报告厅 |
相关介绍: | Abstract: The study of matrix polynomials of higher degree has attracted considerable attention in recent years. The interest has been motivated by a wide range of applications of polynomial eigenvalue problems in areas such as differential equations, systems theory, control theory, mechanics and vibrations. In this presentation, we will see how results of the standard matrix theory, concerning pseudospectra, eigenvalue condition numbers, Jordan structure, numerical ranges, (entrywise) nonnegative matrices and normality, have been extended to the setting of matrix polynomials in a natural way. In particular, basic matrix theory can be viewed as the study of the special case of matrix polynomials of first degree. |