| 矩阵方程AV＋BW=VF的两种解析通解 |
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| 引用本文： | 段广仁.矩阵方程AV＋BW=VF的两种解析通解[J].应用数学,1994,7(1):54-59. |
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| 作者姓名： | 段广仁 |
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| 作者单位： | 哈尔滨工业大学 哈尔滨 |
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| 摘 要： | 本文给出了矩阵方程AV BW=VF的两种解析通解,特别第二种通解还分别为自由参向量和F阵特征值的显式线性表示,本文结果较已有结果简单,适用范围广,且应用方便。
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| 关 键 词： | 自由度 待征值 特征向量 矩阵方程 解析通解 |
Two Analytical General Solutions of the Equation AV BW=VF |
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| Duan Guangren.Two Analytical General Solutions of the Equation AV BW=VF[J].Mathematica Applicata,1994,7(1):54-59. |
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| Authors: | Duan Guangren |
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| Institution: | Harbin Institute of Technology |
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| Abstract: | This paper gives two analytical general solutions of the equation AV BW = VF, especially, the second solution is in the linear explicit form with respect to the free parameter vectors and the eigenvalues of matrix F respectively. The obtained resutlts are simpler than the previous ones,more convenient to use and have wider application scope. |
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| Keywords: | Matrix equation Analytical general solution Freedom Eigenvalues Eigenvectors |
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