PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS

Abstract

We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(lambda) = lambda(2) A(1)* + lambda A(0) + A(1) with A(0), A(1) is an element of C(nxn) and A(0)* = A(0) (where * = T or H). The perturbation of eigenvalues in the context of general matrix polynomials, palindromic pencils, (semi-Schur) anti-triangular canonical forms and differentiation is discussed.