| 关于半正定矩阵Hadamard积的矩阵不等式 |
| |
| 引用本文： | 曾诚,汤凤香,何淦瞳.关于半正定矩阵Hadamard积的矩阵不等式[J].贵阳金筑大学学报,2009(1). |
| |
| 作者姓名： | 曾诚 汤凤香 何淦瞳 |
| |
| 作者单位： | 贵阳学院数学系;佳木斯大学数学系;贵州大学理学院; |
| |
| 摘 要： | 半正定矩阵与正定矩阵在不等式的研究上有相当大的区别,将正定矩阵推广至半正定矩阵,需要用Moore Penrose逆来代替一般的逆。利用分块矩阵和Schur补得到了关于半正定矩阵Moore-Penrose逆的Had-amard积的几个偏序不等式。
|
| 关 键 词： | Schur补 半正定矩阵 Moore-Penrose逆 Hadamard积 矩阵不等式 |
On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices |
| |
| ZENG Cheng,TANG Feng-xiang,He Gan-tong.On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices[J].Journal of Jinzhu University of Guiyang,2009(1). |
| |
| Authors: | ZENG Cheng TANG Feng-xiang He Gan-tong |
| |
| Institution: | 1.Maths Department;Guiyang University;Guiyang Guizhou 550005;2.Maths Department;Jiamusi University;Jiamusi Heilongjiang 154007;3.College of Natural Science;Guizhou University;Guiyang Guizhou 550025;China |
| |
| Abstract: | There exist great differences between positive semidefinite matrix and positive definite matrixin the inequality research.Moore Penrose inverse is used to replace the general reverse when positive definite matrix is extended to positive semidefinite matrix.Based on the method of block matrix and Schur complement,we obtain several Hadamard product inequalities about positive semidefinite matrices. |
| |
| Keywords: | Schur complement positive semidefinite matrix Moore-Penrose inverses Hadamard product matrix inequalities |
| 本文献已被 CNKI 维普 等数据库收录！ |
