| 矩阵方程ATXA=C的双对称最小二乘解的最佳逼近 |
| |
| 引用本文： | 陈兴同. 矩阵方程ATXA=C的双对称最小二乘解的最佳逼近[J]. 高等学校计算数学学报, 2007, 29(3): 204-215 |
| |
| 作者姓名： | 陈兴同 |
| |
| 作者单位： | 中国矿业大学理学院数学系,徐州,221008 |
| |
| 摘 要： | 1引言根据矩阵分解理论求解线性矩阵方程的问题已经有多位作者研究([2],[3],[5]-[11]),比如文[6],[7],[9]基于GSVD、CCD方法给出了几个矩阵方程的最小二乘解以及方程(组)相
|
| 关 键 词： | 线性矩阵方程 最小二乘解 双对称 最佳逼近 SVD方法 最小范数解 分解理论 CCD |
| 修稿时间： | 2005-04-16 |
THE BISYMMETRIC OPTIMAL APPROXIMATE SOLUTION OF MATRIX EQUATION ATXA = C |
| |
| Chen Xingtong. THE BISYMMETRIC OPTIMAL APPROXIMATE SOLUTION OF MATRIX EQUATION ATXA = C[J]. Numerical Mathematics A Journal of Chinese Universities, 2007, 29(3): 204-215 |
| |
| Authors: | Chen Xingtong |
| |
| Affiliation: | Department of Mathematics, College of Science, CUMT, Xuzhou 221008 |
| |
| Abstract: | According to the property of the general linear least squares problem in R~n,the bisymmetric optimal approximate solution of matrix equation A~TXA=C is studied by using CCD and GSVD of matrix pairs.This method is also used to develop the optimal approximate solution of the matrix equation AXB CYD=E or AXA~T BYB~T=C. |
| |
| Keywords: | matrix equation least squares solution optimal approximate solution bisymmetric solution canonical correlation decomposition(CCD) generalized singular value decomposition(GSVD). |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
