| 关于合成矩阵的正定性 |
| |
| 引用本文： | 王伟贤,刘桂香,王志伟.关于合成矩阵的正定性[J].大学数学,2010,26(1). |
| |
| 作者姓名： | 王伟贤 刘桂香 王志伟 |
| |
| 作者单位： | 1. 南京理工大学,泰州科技学院,泰州,225300
2. 南京邮电大学,南京,210003 |
| |
| 摘 要： | 利用标准形分别给出了复正定矩阵的合成矩阵为复正定矩阵和实正定矩阵的合成矩阵为实正定矩阵的充分必要条件,其结果简单而实用.
|
| 关 键 词： | 复正定矩阵 实正定矩阵 合成矩阵 标准形 |
On Positively Difinite Property of Compound Matrix |
| |
| WANG Wei-xian,LIU Gui-xiang,WANG Zhi-wei.On Positively Difinite Property of Compound Matrix[J].College Mathematics,2010,26(1). |
| |
| Authors: | WANG Wei-xian LIU Gui-xiang WANG Zhi-wei |
| |
| Institution: | 1.Taizhou Institute of SCI & TECH;NJUST;Taizhou 225300;China;2.Nanjing University of Posts and Telecommunication;Nanjing 210003;China |
| |
| Abstract: | We make use of standard form to give a sufficient and necessary condition under which a compound matrix of complex positively definite matrix is still positively definite matrix,and to give a sufficient and necessary condition under which a compound matrix of real positively definite matrix is still positively definite matrix. |
| |
| Keywords: | complex positively definite matrix real positively definite matrix compound matrix standard form |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
