Abstract
We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ2 A1* + λ A0 + A1 with A0,A1 C n×n and AM0* = A0 (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.
Original language | English |
---|---|
Pages (from-to) | 87-100 |
Number of pages | 14 |
Journal | ANZIAM Journal |
Volume | 50 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 2009 |
Keywords
- anti-triangular form
- eigenvalue
- eigenvector
- matrix polynomial
- palindromic eigenvalue problem
- palindromic linearization
- palindromic pencil
- perturbation