任意体上的矩阵方程AXB CYD=O |
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引用本文: | 王卿文,马振军. 任意体上的矩阵方程AXB CYD=O[J]. 聊城大学学报(自然科学版), 1998, 0(2) |
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作者姓名: | 王卿文 马振军 |
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作者单位: | 昌潍师专数学系 |
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摘 要: | 运用任意体上矩阵的广义逆,给出了任意体上矩阵方程AXB+CYD=O的通解表达式及其仅有零解的一个充要条件.
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关 键 词: | 体,矩阵方程,矩阵的广义逆 |
The Matrix Equation AXB CYD=O over an Arbitrary Skew Field |
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Abstract: | Used the generalized inverse of matrices over an arbitrary skew field,This gives an expression of general solution of the matrix equation AXB CYD=O over an arbitrary skew field.A necessary and sufficient condition for the only naught solution of the equation is also presented. |
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Keywords: | Skew field Matrix equation Generalized inverse of matrix |
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