| 矩阵的同时加权(M,N)奇异值分解 |
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| 引用本文： | 刘晓冀.矩阵的同时加权(M,N)奇异值分解[J].东北数学,2007,23(6):471-478. |
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| 作者姓名： | 刘晓冀 |
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| 作者单位： | College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006 |
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| 摘 要： | A necessary and sufficient condition for the existence of simultaneous （M, N） singular value decomposition of matrices is given. Some properties about the weighted partial ordering are discussed with the help of the decomposition.
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| 关 键 词： | 矩阵 同时加权 奇异值 分解方法 |
| 文章编号： | 1000-1778（2007）06-0471-08 |
| 收稿时间： | 2004-11-12 |
| 修稿时间： | 2004年11月12 |
Simultaneous (M,N) Singular Value Decomposition of Matrices |
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| LIU Xiao-ji.Simultaneous (M,N) Singular Value Decomposition of Matrices[J].Northeastern Mathematical Journal,2007,23(6):471-478. |
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| Authors: | LIU Xiao-ji |
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| Institution: | College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006 |
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| Abstract: | A necessary and sufficient condition for the existence of simultaneous(M,N) singular value decomposition of matrices is given.Some properties about the weighted partial ordering are discussed with the help of the decomposition. |
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| Keywords: | simultaneous (M N) singular value decomposition weighted generalized inverse weighted star-partial ordering |
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