| 矩阵方程X-A~*X~(-q)A=I(q>1)的Hermite正定解 |
| |
| 引用本文： | 李静.矩阵方程X-A~*X~(-q)A=I(q>1)的Hermite正定解[J].山东大学学报(理学版),2004(6). |
| |
| 作者姓名： | 李静 |
| |
| 作者单位： | 山东大学数学与系统科学学院 山东济南250100 |
| |
| 基金项目： | 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 .
|
| 关 键 词： | 矩阵方程 正定解 迭代方法 |
The hermitian positive definite solutions of matrixequation X-A~*X~(-q)A=I(q>1) |
| |
| LI Jing.The hermitian positive definite solutions of matrixequation X-A~*X~(-q)A=I(q>1)[J].Journal of Shandong University,2004(6). |
| |
| Authors: | LI Jing |
| |
| Abstract: | 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. |
| |
| Keywords: | matrix equation positive definite solution iterative method |
| 本文献已被 CNKI 等数据库收录！ |
