| 一类矩阵方程的极小Frobenius范数双对称解 |
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| 引用本文： | 黄敬频. 一类矩阵方程的极小Frobenius范数双对称解[J]. 应用数学与计算数学学报, 2004, 18(2): 49-56 |
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| 作者姓名： | 黄敬频 |
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| 作者单位： | 广西民族学院计算机与信息科学学院,南宁,530006 |
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| 摘 要： | 利用矩阵的广义奇异值分解,给出了实矩阵方程ATXA=B存在极小Frobenius范数双对称解的充要条件及其解的表达式.
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| 关 键 词： | 矩阵方程 广义奇异值分解 Frobenius范数 双对称矩阵 |
| 修稿时间： | 2001-09-20 |
The Bisymmetric Solution of Minimum Frobenius Norm For a Class of Matrix Equations |
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| Huang Jingpin College of Computer and Information Science,Guangxi University for Nationalities,Nanning,Guangxi ,China. The Bisymmetric Solution of Minimum Frobenius Norm For a Class of Matrix Equations[J]. Communication on Applied Mathematics and Computation, 2004, 18(2): 49-56 |
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| Authors: | Huang Jingpin College of Computer Information Science Guangxi University for Nationalities Nanning Guangxi China |
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| Affiliation: | Huang Jingpin College of Computer and Information Science,Guangxi University for Nationalities,Nanning,Guangxi 530006,China |
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| Abstract: | By using generalized Singular value decomposition of matrices,the necessary and sufficient conditions of the real matrix equation ATXA = B having the bisymmetric of minimum norm solutions and their general forms are derived. |
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| Keywords: | matrix equation generalized singular value decomposition Frobenius norm bisymmetric matrix |
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