| 用QQ-SVD解矩阵方程A=BXC |
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| 引用本文： | 孙庆娟,王柄中,江春林.用QQ-SVD解矩阵方程A=BXC[J].平顶山学院学报,2012,27(2):24-26,40. |
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| 作者姓名： | 孙庆娟 王柄中 江春林 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 摘 要： | 对于任意给定的矩阵C∈Cq×n,A∈Cm×n,B∈Cm×p,利用QQ-SVD分解给出了矩阵方程A=BXC的一个通解公式.利用这个通解公式,还给出了解集合中解的最大秩和最小秩.
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| 关 键 词： | 矩阵方程 相容性 QQ-SVD分解 |
Solving Matrix Equation A=BXC with QQ-SVD Decomposition |
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| SUN Qing-juan,WANG Bing-zhong,JIANG Chun-lin.Solving Matrix Equation A=BXC with QQ-SVD Decomposition[J].Journal of Pingdingshan University,2012,27(2):24-26,40. |
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| Authors: | SUN Qing-juan WANG Bing-zhong JIANG Chun-lin |
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| Institution: | (School of Mathematics,Liaocheng University,Liaocheng,Shandong 252059,China) |
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| Abstract: | For given matrices C∈Cq×n,A∈Cm×n,B∈Cm×p,with QQ-SVD decomposition,we give the general solutions of matrix equation A=BXC.Through the general solution formula of A=BXC,we give the extremal ranks of solutions. |
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| Keywords: | matrix equation consistency QQ-SVD decomposition |
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