| 列分块矩阵的Moore-Penrose逆的显式表示 |
| |
| 引用本文： | 袁永新,戴华.列分块矩阵的Moore-Penrose逆的显式表示[J].江苏科技大学学报(社会科学版),2007,21(4):33-36. |
| |
| 作者姓名： | 袁永新 戴华 |
| |
| 作者单位： | 江苏科技大学数理学院，南京航空航天大学理学院 江苏镇江212003，南京航空航天大学理学院，江苏南京210016，江苏南京210016 |
| |
| 摘 要： | 利用矩阵的Moore-Penrose逆与不相容线性方程组的极小范数最小二乘解的关系,导出了分块矩阵A,B]的Moore-Penrose逆A,B] 的显式表示.
|
| 关 键 词： | 分块矩阵 Moore-Penrose逆 显式表示 |
| 文章编号： | 1673-4807（2007）04-0033-04 |
| 修稿时间： | 2006-10-08 |
Explicit Expression for Moore-Penrose Inverse of a Columnwise Partitioned Matrix |
| |
| YUAN Yongxin,DAI Hua.Explicit Expression for Moore-Penrose Inverse of a Columnwise Partitioned Matrix[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2007,21(4):33-36. |
| |
| Authors: | YUAN Yongxin DAI Hua |
| |
| Institution: | 1. School of Mathematics and Physics,Jiangsu University of Science and Technology,Zhenjiang Jiangsu 212003 ,China; 2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing Jiangsu 210016, China |
| |
| Abstract: | By using the relation of the Moore-Penrose inverse of matrices and the unique minimum-norm least-square solution of the inconsistent linear system,the explicit expression for the Moore-Penrose inverse of a columnwise partitioned matrix is deduced. |
| |
| Keywords: | partitioned matrix Moore-Penrose inverse explicit expression |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
