Perturbation estimates for the nonlinear matrix equation X-A * X q A=Q (0<q<1)

被引：2

作者：

Jia G. ^{[1
]}

Gao D. ^{[1
]}

机构：

[1] Department of Mathematics, Heze University, Heze 274015, Shandong

来源：

Journal of Applied Mathematics and Computing | 2011年 / 35卷 / 1-2期

关键词：

Nonlinear matrix equation; Perturbation estimates; Positive definite solution;

D O I：

10.1007/s12190-009-0357-z

中图分类号：

学科分类号：

摘要：

The nonlinear matrix equation X-A * X q A=Q with 0<q<1 is investigated. Two perturbation estimates for the unique positive definite solution of the equation are derived. The theoretical results are illustrated by numerical examples. © 2009 Korean Society for Computational and Applied Mathematics.

引用

页码：295 / 304

页数：9

共 50 条

[1] Perturbation analysis of the matrix equation X-A*X-pA=Q
Li, Jing
Zhang, Yuhai
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1489 - 1501
[2] Perturbation analysis for the matrix equation X-A*(X)over-cap-1A=Q
Gao, Dongjie
PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 45 - 47
[3] ON THE NONLINEAR MATRIX EQUATION X + Σi=1m Ai* X-q Ai = Q(0 < q ≤ 1)
Yin, Xiaoyan
Wen, Ruiping
Fang, Liang
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (03) : 739 - 763
[4] On the nonlinear matrix equation X plus A*X-qA=Q(q ≥ 1)
Duan, Xuefeng
Liao, Anping
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) : 936 - 945
[5] Improved perturbation estimates for the matrix equations X ± A*X-1A = Q
Hasanov, VI
Ivanov, IG
Uhlig, F
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 379 : 113 - 135
[6] On the nonlinear matrix equation X+A* f (X)A=Q:: solutions and perturbation theory
Ran, ACM
Reurings, MCB
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 346 (1-3) : 15 - 26
[7] Comment to: Perturbation estimates for the nonlinear matrix equation X - A *xqA = Q (0<q<1) by G. Jia and D. Gao
Berzig M.
Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 501 - 503
[8] Positive definite solutions of the nonlinear matrix equation X+A*XqA = Q (q > 0)
Zhang, Guo-feng
Xie, Wei-wei
Zhao, Jing-yu
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9182 - 9188
[9] Perturbation analysis of the matrix equation X = Q + AH(X̀‚ - C)-1A
Sun, Ji-Guang
Linear Algebra and Its Applications, 2003, 372 (1-3) : 33 - 51
[10] Perturbation analysis of the matrix equation X = Q + AH(X̀‚ - C)-1A
Sun, Ji-Guang
Linear Algebra and Its Applications, 2003, 371 (SUPPL.) : 33 - 51

← 1 2 3 4 5 →