Perturbation analysis for the periodic generalized coupled Sylvester equation
Numerical Analysis
2015-03-24 v1
Abstract
In this paper, we consider the perturbation analysis for the periodic generalized coupled Sylvester (PGCS) equation. The normwise backward error for this equation is first obtained. Then, we present its normwise and componentwise perturbation bounds, from which the normwise and effective condition numbers are derived. Moreover, the mixed and componentwise condition numbers for the PGCS equation are also given. To estimate these condition numbers with high reliability, the probabilistic spectral norm estimator and the statistical condition estimation method are applied. The obtained results are illustrated by numerical examples.
Keywords
Cite
@article{arxiv.1503.06484,
title = {Perturbation analysis for the periodic generalized coupled Sylvester equation},
author = {Hanyu Li and Shaoxin Wang and Chan Zheng},
journal= {arXiv preprint arXiv:1503.06484},
year = {2015}
}
Comments
15 pages, 1 figure