| 矩阵方程AXB=C的亚(半)正定解 |
| |
| 引用本文： | 蒋勤.矩阵方程AXB=C的亚(半)正定解[J].常州信息职业技术学院学报,2003,2(4):33-35. |
| |
| 作者姓名： | 蒋勤 |
| |
| 作者单位： | 常州信息职业技术学院基础部,江苏,常州,213164 |
| |
| 摘 要： | 本文利用矩阵的奇异值分解和广义值分解，给出了矩阵方程AXB=C的亚(半)正定解存在的充分必要条件，同时也给出了AXB=C的亚(半)正定解的一般表达式。
|
| 关 键 词： | 矩阵方程 AXB=C 亚正定解 奇异值 广义值 |
| 文章编号： | 1672-2434(2003)04-0033-03 |
| 修稿时间： | 2003年11月21日 |
On the Metapositive (Semi) Definite Solutions of Linear Equation AXB= C |
| |
| JIANG Qin.On the Metapositive (Semi) Definite Solutions of Linear Equation AXB= C[J].Journal of Changzhou Vocational College of Information Technology,2003,2(4):33-35. |
| |
| Authors: | JIANG Qin |
| |
| Abstract: | This paper based on the singular-value and generalized value decomposition of matrix equation, presents the necessary and sufficient conditions for the consistency of the equation AXB=C with a metapositive (semi)definite condition on solution is derived,as well as it gives a general expression of the metapositive (semi)definite solutions of matrix equation. |
| |
| Keywords: | matrix equation generalized singular-value decomposition metapositive semi-definite matrices |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
