| 矩阵方程求解中SVD方法的讨论 |
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| 引用本文： | 贾利新,曹清录,尧礼辉.矩阵方程求解中SVD方法的讨论[J].河南科学,2008,26(11). |
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| 作者姓名： | 贾利新 曹清录 尧礼辉 |
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| 作者单位： | 信息工程大学,电子技术学院,郑州,450004 |
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| 摘 要： | 分析了利用矩阵A(A∈Crm×n),B(B∈Ctm×n)的奇异值分解来求解矩阵方程AX=C(X∈Cm×n)与AXB=C(X∈Cn×m),讨论了有解的充分必要条件,并在有解时给出了解的一般形式.对于一般的无特殊规律矩阵方程,利用其奇异值分解来求解将会十分的方便.
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| 关 键 词： | 奇异值分解(SVD) 同时奇异值分解(SSVD) 线性方程组 矩阵方程 |
About Discussing the Solutions of Matrix Equation by Means of SVD Method |
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| Jia Lixin,Cao Qinglu,Yao Lihui.About Discussing the Solutions of Matrix Equation by Means of SVD Method[J].Henan Science,2008,26(11). |
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| Authors: | Jia Lixin Cao Qinglu Yao Lihui |
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| Institution: | Jia Lixin,Cao Qinglu,Yao Lihui(Institute of Electronic Technology,the PLA Information Engineering University,Zhengzhou 450004,China) |
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| Abstract: | In the paper,we give the sufficient and necessary condition for the matrix equations AX=C and AXB=C consistent and we also give their structure of the solutions by means of singular value decomposition(SVD)method.To some matrix equations,we can easily to solute them by SVD method. |
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| Keywords: | singular value decomposition(SVD) same singular value decomposition(SSVD) linear equation group matrix equation |
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