| 实对称方阵的同时合同简化型与对角化 |
| |
| 引用本文： | 张锦川.实对称方阵的同时合同简化型与对角化[J].鲁东大学学报,1999(3). |
| |
| 作者姓名： | 张锦川 |
| |
| 作者单位： | 泉州师专数学系!泉州362000 |
| |
| 摘 要： | 给出一半正定对称阵Ａ与一对称阵Ｂ 的同时合同简化型，并给出较之两半正定对称阵更弱的条件，证明了两矩阵可同时合同对角化，从而在实数域上改进了已有文献的相应结果．
|
| 关 键 词： | 半正定阵 合同 简化型 同时对角化 |
Simultaneous congruence reduced forms and diagonalization of real symmetric matrices |
| |
| Zhang Jinchuan.Simultaneous congruence reduced forms and diagonalization of real symmetric matrices[J].Ludong University Journal (Natural Science Edition),1999(3). |
| |
| Authors: | Zhang Jinchuan |
| |
| Abstract: | The simultaneous congruence reduced forms of a positive semidefinite symmetric matrix A and a symmetric matrix B is given.Moreover a weeker condition for simultaneous congruence diagonalization of two symmetric matrices is obtained,and the corresponding results of matrices over real number field are improved. |
| |
| Keywords: | positive semidefinte matrix congrurnce reduced form simultaneous diagonalization |
| 本文献已被 CNKI 等数据库收录！ |
