Refined rigorous perturbation bounds for the SR decomposition
Refined rigorous perturbation bounds for the SR decomposition作者机构：Department of Mathematics Shantou University College of Mathematics and Statistics Chongqing University
出 版 物：《Applied Mathematics:A Journal of Chinese Universities》 (高校应用数学学报B辑(英文版))
年 卷 期：2021年第36卷第4期
页 面：537-553页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the National Natural Science Foundation of China (Grant No. 11771265)
主 题：65F35 15A23 15A57 SR decomposition Rigorous perturbation bound Lyapunov majorant function Banach fixed point theorem Mixed and componentwise condition numbers
摘 要：In this article, some new rigorous perturbation bounds for the SR decomposition under normwise or componentwise perturbations for a given matrix are derived. Also, the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach. Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature.
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