| 矩阵方程（A^TXA，B^TXB=（C，D）的反对称解及其最佳逼近 |
| |
| 引用本文： | 彭娟,胡锡炎,邓远北.矩阵方程（A^TXA，B^TXB=（C，D）的反对称解及其最佳逼近[J].数学理论与应用,2004,24(2):74-77. |
| |
| 作者姓名： | 彭娟 胡锡炎 邓远北 |
| |
| 作者单位： | 湖南大学数学与计量经济学院，长沙，410082 |
| |
| 摘 要： | 本利用矩阵对的标准相关分解，得到了矩阵方程(A^TXB，B^TXB)=(C，D)反对称解存在的充分必要条件及通解表达式，同时给出了解关于已知矩阵的最佳逼近．
|
| 关 键 词： | 矩阵方程 反对称矩阵 最佳逼近 标准相关分解 |
The Anti-symmetric Solutions of the Matrix Equation (A~TXA,B~TXB)=(C,D) and its Optimal Approximation |
| |
| Peng Juan Hu Xiyan Deng Yuanbei.The Anti-symmetric Solutions of the Matrix Equation (A~TXA,B~TXB)=(C,D) and its Optimal Approximation[J].Mathematical Theory and Applications,2004,24(2):74-77. |
| |
| Authors: | Peng Juan Hu Xiyan Deng Yuanbei |
| |
| Abstract: | By applying the canonical correlation decomposition (CCD) of matrix pairs,the necessary and sufficient conditions for the existence of and the general expression of the anti-symmetric solution of the matrix equation (A TXA,B TXB)=(C,D) are given.In addition,the optimal approximation anti-symmetric solution is obtained. |
| |
| Keywords: | matrix equations anti-symmetric matrix optimal approximation canonical correlation decomposition |
| 本文献已被 CNKI 维普 等数据库收录！ |
