Backward errors and linearizations for palindromic matrix polynomials

Details Backward errors and linearizations for palindromic matrix polynomials Backward errors and linearizations for palindromic matrix polynomials

2008-12-22

arxiv.org/abs/0812.4154v3

Mathematics

Numerical Analysis

19 pages, submitted

Scientific paper

We derive computable expressions of structured backward errors of approximate eigenelements of *-palindromic and *-anti-palindromic matrix polynomials. We also characterize minimal structured perturbations such that approximate eigenelements are exact eigenelements of the perturbed polynomials. We detect structure preserving linearizations which have almost no adverse effect on the structured backward errors of approximate eigenelements of the *-palindromic and *-anti-palindromic polynomials.

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