| 关于矩阵方程X＝AXB+C和AX＝XB+C的唯一解 |
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| 引用本文： | 龚德恩.关于矩阵方程X＝AXB+C和AX＝XB+C的唯一解[J].系统工程理论与实践,1996,16(12):98-104. |
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| 作者姓名： | 龚德恩 |
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| 作者单位： | 华侨大学工商管理系 |
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| 摘 要： | 讨论矩阵方程X=AXB+C和AX=XB+C的唯一解问题。得到这两类矩阵方程存在唯一解的充分必要条件，以及唯一解的简单表达式。
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| 关 键 词： | 矩阵方程 唯一解 |
| 收稿时间： | 1995-04-10 |
On a Unique Solution of the Matria Equations X=AXB+C and A X=XB+C |
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| Gong Deen.On a Unique Solution of the Matria Equations X=AXB+C and A X=XB+C[J].Systems Engineering —Theory & Practice,1996,16(12):98-104. |
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| Authors: | Gong Deen |
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| Institution: | Deparhnent of Business Administration,HuaqiaoUniversity,Quanzhou 360211 |
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| Abstract: | In this paper, the problem on a unique solution of thematrix equationsX=9XB+C andA X=XB+C is discussed The results show ed thatw a can not only find the necessary and sufficient conditions of these equations having their unique solution but also obtain the sinple expressions of the unique solution. |
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| Keywords: | matrix equation unique solution |
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