Travelling from matrices to matrix polynomials

发布者:系统管理员发布时间:2015-06-11浏览次数:597

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.