| 广义行(列)对称矩阵的Moore-Penrose逆 |
| |
| 引用本文： | 郭 伟. 广义行(列)对称矩阵的Moore-Penrose逆[J]. 重庆工商大学学报(自然科学版), 2012, 29(12): 8-10 |
| |
| 作者姓名： | 郭 伟 |
| |
| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
| |
| 摘 要： | 提出了广义行(列)对称矩阵概念,研究了它的满秩分解和奇异值分解,利用这两种分解以及正交相抵,得到3种广义行列对称矩阵Moore-Penrose逆的快速算法,可极大节省其计算量和存储量;推广了相关文献的结果,使其应用范围更广.
|
| 关 键 词： | 广义行列对称矩阵 满秩分解 奇异值分解 正交相抵 Moore-Penrose逆 |
The Moore-Penrose Inverse for Generalized Row(Column)Symmetric Matrix |
| |
| GUO Wei. The Moore-Penrose Inverse for Generalized Row(Column)Symmetric Matrix[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2012, 29(12): 8-10 |
| |
| Authors: | GUO Wei |
| |
| Affiliation: | GUO Wei (School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China) |
| |
| Abstract: | The concept of generalized row(column)symmetric matrix is given,its full rank decomposition and singular value decomposition are studied.By the two decomposition and orthogonal equivalence,three shortcut counting methods of the Moore-Penrose inverse for generalized row(column)symmetric matrix are obtained,which can dramatically reduce the amount of calculation and save the CPU time and memory,which extend the results of the related references and which spread its application scope. |
| |
| Keywords: | generalized row(column)symmetric matrix full rank decomposition singular value decomposition orthogonal equivalence Moore-Penrose inverse |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《重庆工商大学学报(自然科学版)》下载全文 |
