矩阵方程X+A~* F(X)A=Q解的存在性与扰动分析

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (03): 21-23.

矩阵方程X+A~* F(X)A=Q解的存在性与扰动分析

广东工业大学应用数学学院广东广州510090；

出版日期:2007-08-10 发布日期:2007-08-10

Solution and Perturbation Analysis of the Nonlinear Matrix Equation X+A~* F(X)A=Q

(Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)

Online:2007-08-10 Published:2007-08-10

摘要/Abstract

摘要： 主要研究了非线性矩阵方程X+A*F(X)A=Q唯一存在半正定解的充分条件.通过对解的扰动分析,得到了解算子的误差估计. 更多还原

关键词: 矩阵方程；存在性；扰动分析；

Abstract: The nonlinear matrix equation X+A*F(X)A=Q is investigated.Sufficient conditions for the existence and uniqueness of a positive semi-definite solution are derived.Also conditions are given under which the solution depends continuously on the matrices A and Q.New perturbation estimates for the equation are obtained.

Key words: matrix equation； existence of solutions； perturbation analysis；

陈学松； . 矩阵方程X+A~* F(X)A=Q解的存在性与扰动分析[J]. 广东工业大学学报, 2007, 24(03): 21-23.

CHEN Xue-song. Solution and Perturbation Analysis of the Nonlinear Matrix Equation X+A~* F(X)A=Q[J]. Journal of Guangdong University of Technology, 2007, 24(03): 21-23.

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