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| 一类递推矩阵方程有对称正定解序列的充要条件 | |
| 引用本文： | 江明辉,张磊,郭忠.一类递推矩阵方程有对称正定解序列的充要条件[J].海军工程大学学报,2000(2):46-48. |
| 作者姓名： | 江明辉 张磊 郭忠 |
| 作者单位： | 1. 湖北三峡学院 2. 湖南计算中心研究所 3. 湖南大学应用数学系 |
| 摘 要： | 证明了一类递推矩阵方程 AXk 1=Xk,有对称正定解序列的充要条件 . |
| 关 键 词： | 幂零指数 对称正定阵 正定解 |
| 修稿时间： | 1999-11-30 |
Symmetric Positive Definite Seqence Solutions of a Matrix Recursion Equation |
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| Jiang Minghui,Zhang Lei,Guo Zhong.Symmetric Positive Definite Seqence Solutions of a Matrix Recursion Equation[J].Journal of Naval University of Engineering,2000(2):46-48. | |
| Authors: | Jiang Minghui Zhang Lei Guo Zhong |
| Institution: | Jiang Minghui Zhang Lei Guo Zhong |
| Abstract: | Necessary and sufficient conditions are obtained for a matrix recursion equation AX k 1 =X k, along with the expression for a general solution when certain conditions exist. |
| Keywords: | Nilpotent exponent Symmetric positive definite matix Positive definite solution |
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