| 线性矩阵方程:AXB+CYD=F的递推解法 |
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| 引用本文： | 谢延波.线性矩阵方程:AXB+CYD=F的递推解法[J].大连民族学院学报,2003,5(1):78-81. |
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| 作者姓名： | 谢延波 |
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| 作者单位： | 大连民族学院,基础部,辽宁,大连开发区,116600 |
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| 摘 要： | 解矩阵方程是一个有很强应用背景的传统问题，应用广义逆矩阵的简单矩阵方程：AX＝B，XC＝D的求解方法，探索线性矩阵方程：AXB＋CYD＝F的求解问题。
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| 关 键 词： | 线性矩阵方程 广义逆矩阵 递推解法 相容性 通解 复数域 |
| 文章编号： | 1009-315X(2003)01-0078-04 |
| 修稿时间： | 2002年9月21日 |
The Successive Substitution Method of Solving Matrix Equation AXB+CYD=F |
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| XIE Yan-bo.The Successive Substitution Method of Solving Matrix Equation AXB+CYD=F[J].Journal of Dalian Nationalities University,2003,5(1):78-81. |
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| Authors: | XIE Yan-bo |
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| Abstract: | To solve matrix equation is a classical problem. This paper begins with the solving of the type of matrix equation AX=B, XC=D. With the successive substitution method, it then studies the ways of solving the matrix equation AXB+CYD=F. Finally, it gives the sufficient and necessary conditions with which AXB+CYD=F is solvable, and the general solutions of AXB+CYD=F are found out. |
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| Keywords: | generalized inverse matrix matrix equation successive substitution method |
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