| 2个复矩阵若干广义逆的结构表达式及其块独立性 |
| |
| 引用本文： | 丁泽楠, 魏木生. 2个复矩阵若干广义逆的结构表达式及其块独立性[J]. 上海师范大学学报(自然科学版), 2011, 40(4): 340-348 |
| |
| 作者姓名： | 丁泽楠 魏木生 |
| |
| 作者单位： | 上海师范大学数理学院上海高校科学计算重点实验室,上海,200234 |
| |
| 基金项目： | 国家自然科学基金资助项目(10771073); 上海市重点学科基金资助项目(S30405) |
| |
| 摘 要： | 利用Q-SVD分解,得到了2个矩阵广义逆的结构形式,并且在两种定义下分别给出了2个矩阵块独立性的充要条件.
|
| 关 键 词： | 块独立 G-逆 Q-SVD |
The block independency of two matrices and the structural representation for the generalized inverses of two matrices |
| |
| DING Ze-nan,WEI Mu-sheng. The block independency of two matrices and the structural representation for the generalized inverses of two matrices[J]. Journal of Shanghai Normal University(Natural Sciences), 2011, 40(4): 340-348 |
| |
| Authors: | DING Ze-nan WEI Mu-sheng |
| |
| Affiliation: | DING Ze-nan,WEI Mu-sheng (Shanghai Laboratory of Scientific Calculations,College of Mathematics and Sciences Shanghai Normal University,Shanghai 200234,China) |
| |
| Abstract: | By the well-known quoient singular value decomposition(Q-SVD),we derive the structural representation for the generalized inverses of two matrices,and present corresponding necessary and sufficient conditions for the block independency of two matrices under two different definitions. |
| |
| Keywords: | block independence G-inverse Q-SVD |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《上海师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《上海师范大学学报(自然科学版)》下载免费的PDF全文 |
