| 也谈四元矩阵方程AX-YB=C有解的条件及其解 |
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| 引用本文： | 明廷桥.也谈四元矩阵方程AX-YB=C有解的条件及其解[J].黄石理工学院学报(人文社科版),2006,23(1):112-114. |
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| 作者姓名： | 明廷桥 |
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| 作者单位： | 黄石理工学院师范学院,湖北黄石435003 |
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| 摘 要： | 对于矩阵方程AX-YB=C的解存在问题有许多研究，本文在讨论矩阵方程AX-YB=I有解的充要条件及解的结构的基础上，证明了矩阵方程AX-YB=C有解的充分必要条件。
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| 关 键 词： | 矩阵方程 有解条件 解的结构 |
| 文章编号： | 1671-7422（2006）01-0112-03 |
| 收稿时间： | 2006-02-21 |
| 修稿时间： | 2006-02-21 |
On Solution and Its Condition of Matrix Equation AX - YB = C |
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| MING Ting-qiao.On Solution and Its Condition of Matrix Equation AX - YB = C[J].Journal of Huangshi Institute of Technology:Humanities and Social Sciences,2006,23(1):112-114. |
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| Authors: | MING Ting-qiao |
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| Institution: | The Normal Department of Huangshi Technology University,Huangshi Hubei 43.5003 |
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| Abstract: | There are many researches on the solution of matrix equation AX-YB=C. This article proves the sufficient and necessary condition of the solution of this matrix equation by discussing its solution's structure and its condition. |
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| Keywords: | matrix equation condition solution's structure |
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