| 线性矩阵方程的非奇异解 |
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| 引用本文： | 刘桂香.线性矩阵方程的非奇异解[J].延安大学学报(自然科学版),1996,15(3):26-29. |
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| 作者姓名： | 刘桂香 |
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| 作者单位： | 杨州教育学院数学系 |
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| 摘 要： | 本文应用分块矩阵的等价标准形讨论了线性矩阵方程Ａ（ｍｘｎ）Ｘ（ｎｘｎ）＝Ｂ（ｍｘｎ）有非奇异解的充分必要条件，并给出了一般解的表达式。
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| 关 键 词： | 线性矩阵方程 非奇异解 充分必要条件 |
The Non-Singular Solutions of a Linear Matrix Equation |
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| Liu Guixiang.The Non-Singular Solutions of a Linear Matrix Equation[J].Journal of Yan'an University(Natural Science Edition),1996,15(3):26-29. |
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| Authors: | Liu Guixiang |
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| Abstract: | In this paper, we have studied consider a necessary and sufficient condition for determining whether a linear matrix equation AmxnXnxn =Bmxn has a non -singular solutions and a general solution is derived by using the canonical form of matrix equivalance. |
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| Keywords: | Linear matrix equation non-singular solutions necessary and sufficient condition |
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