Structured eigenvalue backward errors for rational matrix polynomials with symmetry structures
Optimization and Control
2022-08-30 v1
Abstract
We derive computable formulas for the structured backward errors of a complex number 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.
Cite
@article{arxiv.2208.13420,
title = {Structured eigenvalue backward errors for rational matrix polynomials with symmetry structures},
author = {Anshul Prajapati and Punit Sharma},
journal= {arXiv preprint arXiv:2208.13420},
year = {2022}
}