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 6 条

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[4] Zhang Y.H., Wang J.F., Zhu B.R., The Hermitian positive definite solutions of matrix equation X+A * X -q A=I, J. Numer. Math. Appl., 26, pp. 14-27, (2004)
[5] Gao D.J., Zhang Y.H., Hermitian positive definite solutions of matrix equation X-A * X q A=Q (q>0), J. Numer. Math. Appl., 29, pp. 73-80, (2007)
[6] Gao D.J., Zhang Y.H., Perturbation analysis of the Hermitian positive definite solutions of matrix equation X-A * X q A=I (0<q<1), J. Numer. Math. Appl., 29, pp. 403-412, (2007)

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