Strong linearizations of polynomial and rational matrices and recovery of spectral data

Abstract

Linearization is a classical technique widely used to deal with matrix polynomial The main purpose of the thesis is to construct and analyze strong linearizations of polynomial and rational matrices The first part of the thesis is devoted to construction of strong linearizations of matrix polynomials including structure preserving strong linearizations and the recovery of eigenvectors minimal bases and minimal indices of matrix polynomials from those of the linearizations The second part of...