| 矩阵方程(XA,XB)=(C,D)的广义对称解 |
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| 引用本文： | 臧正松. 矩阵方程(XA,XB)=(C,D)的广义对称解[J]. 曲阜师范大学学报, 2002, 28(4): 20-24 |
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| 作者姓名： | 臧正松 |
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| 作者单位： | 华东船舶工业学院南校区基础部 212005，江苏省镇江市 |
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| 摘 要： | 定义了广义对称矩阵；运用矩阵的奇异值分解与广义逆矩阵，给出了矩阵方程（XA，XB）＝（C，D）有广义对称解的充要条件，并在有解的情况下给出了通解的显式表达式。
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| 关 键 词： | 广义对称解 矩阵方程 广义逆矩阵 广义对称矩阵 奇异值分解 通解 显式表达式 |
| 文章编号： | 1001-5337(2002)04-0020-05 |
| 修稿时间： | 2002-03-08 |
THE GENERAL SYMMETRIC SOLUTIONS OF MATRIX EQUATION (XA, XB ) = ( C, D ) |
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| ZANG Zheng_song. THE GENERAL SYMMETRIC SOLUTIONS OF MATRIX EQUATION (XA, XB ) = ( C, D )[J]. Journal of Qufu Normal University(Natural Science), 2002, 28(4): 20-24 |
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| Authors: | ZANG Zheng_song |
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| Abstract: | A concept of General Symmetric Matrices was put given. The general symmetric solution of matrix equation XA=C, XB=D is considered. Neccessary and sufficient condition for the existence of such solution and their general forms are derived by using the sigular value decomposition and generalized of matrices. |
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| Keywords: | matrix equation generalized inverses general symmetric solution singular value decompostion |
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