| Least-Squares Mirrorsymmetric Solution for Matrix Equations （AX=B, XC=D） |
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| 引用本文： | Fanliang Li Xiyan Hu Lei Zhang. Least-Squares Mirrorsymmetric Solution for Matrix Equations （AX=B, XC=D）[J]. 高等学校计算数学学报(英文版), 2006, 15(3): 217-226 |
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| 作者姓名： | Fanliang Li Xiyan Hu Lei Zhang |
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| 作者单位： | Fanliang Li，Xiyan Hu and Lei Zhang Department of Mathematics and Computational Science，Hunan City College，Yi Yang 413000，China. College of Mathematics and Econometrics，Hunan University，Changsha 410082，China. |
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| 摘 要： | In this paper, least-squaxes mirrorsymmetric solution for matrix equations (AX = B, XC = D) and its optimal approximation is considered. With special expression of mirrorsymmetric matrices, a general representation of solution for the least-squares problem is obtained. In addition, the optimal approximate solution and some algorithms to obtain the optimal approximation are provided.
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| 关 键 词： | 反射对称矩阵 最佳逼近 矩阵方程 算法 |
| 收稿时间： | 2005-06-09 |
| 修稿时间： | 2005-10-24 |
Least-Squares Mirrorsymmetric Solution for Matrix Equations (AX=B, XC=D) |
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| Fanliang Li,Xiyan Hu,Lei Zhang. Least-Squares Mirrorsymmetric Solution for Matrix Equations (AX=B, XC=D)[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2006, 15(3): 217-226 |
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| Authors: | Fanliang Li Xiyan Hu Lei Zhang |
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| Abstract: | In this paper, least-squaxes mirrorsymmetric solution for matrix equations (AX = B, XC = D) and its optimal approximation is considered. With special expression of mirrorsymmetric matrices, a general representation of solution for the least-squares problem is obtained. In addition, the optimal approximate solution and some algorithms to obtain the optimal approximation are provided. |
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| Keywords: | Mirrorsymmetric matrix least-squares solution optimal approximation. |
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