| 矩阵方程组A1XB1=C1,A2XB2=C2的相容性与通解 |
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| 引用本文： | 胡端平.矩阵方程组A1XB1=C1,A2XB2=C2的相容性与通解[J].应用数学与计算数学学报,1998,12(1):77-82. |
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| 作者姓名： | 胡端平 |
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| 作者单位： | 湖北教育学院数学系 武汉，430060 |
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| 摘 要： | 本文推广了R.Penrose关于矩阵方程组AX=C,XB=D的工作,给出了矩阵方程组 A_1XB_1=C_1,A_2XB_2=C_2的相容性条件,给出了通解表达式以及唯一解的充要条件。
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| 关 键 词： | 矩阵方程 相容性条件 通解 |
The Compatibility and General Solution of the Matrix Equation System A_1XB_1=C_1A_2XB_2=C_2 |
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| DUANPING Hu.The Compatibility and General Solution of the Matrix Equation System A_1XB_1=C_1A_2XB_2=C_2[J].Communication on Applied Mathematics and Computation,1998,12(1):77-82. |
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| Authors: | DUANPING Hu |
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| Abstract: | R.Penrose had gave a consistency condition for matrix equation system AX = C and XD=D. In this paper, we discuss the consistency condition and give the general solution of A1 XB1=C1 and A2XB2 = C2. |
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| Keywords: | Matrix equation Consistency condition General solution |
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