矩阵方程X-A~*X^(-q)A=I(q>1)的Hermite正定解  

The hermitian positive definite solutions of matrixequation X-A~*X^(-q)A=I(q>1)

作　　者：李静[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2004年第6期43-48,共6页Journal of Shandong University(Natural Science)

基　　金：数学天元基金资助项目 (A0 3 2 465 4)

摘　　要：讨论了矩阵方程X -A X-qA =I在q >1时的Hermite正定解的存在性和解的性质并且构造了两种数值求解的迭代方法 .以上结果利用数值例子来说明 .Studies the Hermitian positive definite solutions of the matrix equation X-A*X -qA=I with q>1. Sufficient conditions for the existence of positive difinite solutions of the equation are given. Properties of the solutions are also discussed. Two iterative methods for obtaining positive definite solutions of the equation are constructed. The results are illustrated by numerical examples.

关 键 词：矩阵方程 正定解 迭代方法 

分 类 号：O241.7[理学—计算数学]