| 矩阵方程ATXA＝B的双对称解 |
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| 引用本文： | 屠文伟.矩阵方程ATXA＝B的双对称解[J].南京师大学报,2000,23(4). |
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| 作者姓名： | 屠文伟 |
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| 作者单位： | 华东船舶工业学院基础学科系!江苏镇江，212003 |
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| 摘 要： | 运用矩阵的奇异值分解与广义逆矩阵 ,给出了矩阵方程ATXA =B有双对称解的充分必要条件 ,并在有解的情况下 ,得出了解的一般表示 .
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| 关 键 词： | 矩阵方程 双对称矩阵 奇异值分解 广义逆矩阵 |
The Bisymmetric Solutions of the Matrix Equation ATXA＝B |
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| TU Wen-wei.The Bisymmetric Solutions of the Matrix Equation ATXA＝B[J].Journal of Nanjing Normal University(Natural Science Edition),2000,23(4). |
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| Authors: | TU Wen-wei |
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| Abstract: | In this paper,the bisymmetric solutions of the matrix equation A TXA=B is considered.Necessary and sufficient conditions for the existence of such solutions and their general forms are derived using the singular value decomposition and generalized inverses of matrices. |
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| Keywords: | matrix equation bisymmetric matrix singular value decomposition generalized inverses` |
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