2015/03/22 by Hanyu Li, Li, Hanyu, Shaoxin Wang +3
Computer Science · Engineering · Mathematics · #15A12 #15A24 #65F35 #Control Systems and Identification #FOS: Mathematics #Fractional Differential Equations Solutions #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1503.06484
openalex publication_date 2015/03/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.