| 矩阵广义正定性的充要条件 |
| |
| 引用本文： | 向红军,王金华. 矩阵广义正定性的充要条件[J]. 湘南学院学报, 2000, 0(2) |
| |
| 作者姓名： | 向红军 王金华 |
| |
| 作者单位： | 郴州师专数学系!湖南郴州423000 |
| |
| 摘 要： | 采用待定法证明了二阶及上 (下 )三角矩阵A∈PD 的充要条件 ,把广义正定性问题转化为实对称矩阵A∈PD 的正定性问题 ,与文 [1]比较降低了证明难度 ,大大简化了证明过程。
|
| 关 键 词： | 矩阵 广义正定性 主子式 |
Necessary and Sufficient Conditions for Generalized Positive Definiteness of Matrix |
| |
| XIANG Hong-jun WANG Jin-hua. Necessary and Sufficient Conditions for Generalized Positive Definiteness of Matrix[J]. Journal of Xiangnan University, 2000, 0(2) |
| |
| Authors: | XIANG Hong-jun WANG Jin-hua |
| |
| Abstract: | In this paper, using the undetermined-way, we prove that necessary and sufficient conditions for generalized positive definiteness of matrix are obtained under second order matrix and upper (or lower) triangular matrix, we change generalized positive definiteness into positive definiteness of real symmetric matrix. |
| |
| Keywords: | matrix generalized positive definiteness principal minor |
| 本文献已被 CNKI 等数据库收录！ |
