PERTURBATION BOUNDS FOR THE MATRIX EQUATION Xs ± AHXtA = Q

被引：0
|
作者：
Konstantinov, Mihail [1 ]
Petkov, Petko [2 ]
Popchev, Ivan [3 ]
Angelova, Vera [3 ]
机构：
[1] Univ Architecture, Sofia 1046, Bulgaria
[2] Tech Univ Sofia, Dept Automat, Sofia 1756, Bulgaria
[3] Bulgarian Acad Sci, Inst Informat Technol, BU-1113 Sofia, Bulgaria
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2010年 / 63卷 / 09期
关键词：
perturbation analysis; nonlinear matrix equations; perturbation bounds; Lyapunov majorants; POSITIVE-DEFINITE SOLUTIONS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we consider the sensitivity of the nonlinear complex matrix equation X-s +/- A(H)X(t)A = Q, where the exponents s and t are real numbers. Local and nonlocal perturbation bounds for the perturbation in the solution X are obtained.
引用
收藏
页码：1265 / 1272
页数：8
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