Structured eigenvalue backward errors for rational matrix polynomials with symmetry structures
Year: 2022
Type: preprint
Abstract: We derive computable formulas for the structured backward errors of a complex number $λ$ when considered as an approximate eigenvalue of rational matrix polynomials that carry a symmetry structure. We consider symmetric, skew-symmetric, T-even, T-odd, Hermitian, skew-Hermitian, $*$-even, $*$-odd, and $*$-palindromic structures. Numerical experiments show that the backward errors with respect to structure-preserving and arbitrary perturbations are significantly different.
Source: arXiv (Cornell University)
Authors: Prajapati, Anshul, Sharma, Punit
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4293825538