On two perturbation estimates of the extreme solutions to the equations X ± A*X-1A = Q

被引：50
作者：
Hasanov, VI
Ivanov, IG
机构：
[1] Shoumen Univ, Fac Math & Informat, Lab Math Modelling, Shumen 9712, Bulgaria
[2] Univ Sofia, Fac Econ & Business Adm, BU-1113 Sofia, Bulgaria
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 413卷 / 01期
关键词：
nonlinear matrix equation; perturbation estimates;
D O I：
10.1016/j.laa.2005.08.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two perturbation estimates for maximal positive definite solutions of equations X+A*X-1 A = Q and X - A*X(-1)A = Q are considered. These estimates are proved in [Hasanov et al., Improved perturbation Estimates for the Matrix Equations X A*X(-1)A = Q,LinearAlgebra Appl. 379 (2004) 113-135]. We derive new perturbation estimates under weaker restrictions on coefficient matrices of the equations. The theoretical results are illustrated by numerical examples. (c) 2005 Elsevier Inc. All rights reserved.
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页码：81 / 92
页数：12
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