• 论文 •

### 关于矩阵方程X+A~*X~(-1)A=P的解及其扰动分析

1. 华南师范大学数学科学学院,华南师范大学数学科学学院 广州 510631 ,广州 510631
• 出版日期:2005-03-14 发布日期:2005-03-14

### ON THE MATRIX EQUATION X+ A~*X~(-1)A = P : SOLUTION AND PERTURBATION ANALYSIS

1. Chen Xiaoshan Li Wen (School of Mathematical Science, South China Normal University, Guangzhou 510631, China)
• Online:2005-03-14 Published:2005-03-14

The Hermitian positive definite solutions of the matrix equation X+A*X-1A = P are studied, where A is an n×n nonsingular matrix and P is an n ×n Hermitian positive definite matrix. The existence of the Hermitian positive definite solutions is proved and the first order perturbation bound of the maximal solution is presented, which improves the corresponding partial results in [5,6].
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