Linearizations and distance problems associated with matrix polynomials

Abstract

Four different aspects of the study of matrix polynomials are considered in this thesis Firstly the vector space based study of linearizations of square regular matrix polynomials undertaken by Mackey et al Vector spaces of linearizations for matrix polynomials SIAM J Matrix Anal Appl 28 4 971 1004 2006 is extended to the case of the rectangular matrix polynomials Secondly it is established that there is a wide choice of linearizations of rectangular matrix polynomials arising fro...