Eigenvalue backward errors of polynomial eigenvalue problems under structure preserving perturbations

Abstract

We develop a new framework to obtain computable formulas for s tructured eigenvalue backward errors of matrix polynomials with various structures under some prespec undertake a detailed analysis of structured when the perturbations are measured with respect to st ructured eigenvalue backward errors of matrix polyn omials with Hermitian skew alternating palindromic and antipalindromic structures in terms of the maximal eigenvalue of a parameter depending Hermitian matrix and T palindro