PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS
Eric King‐wah Chu, W.-W. Lin, C.-S. Wang · The ANZIAM Journal · 2008
Abstract We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic $P(\lambda ) = \lambda ^2 A_1^\star + \lambda A_0 + A_1$ with A 0 , A 1 ∈𝒞 n × n and $A_0^\star = A_0$ (where $\star = T$ 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.