| 矩阵方程AX-XB=C |
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| 引用本文： | 刘树林. 矩阵方程AX-XB=C[J]. 内蒙古工业大学学报, 1992, 0(2) |
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| 作者姓名： | 刘树林 |
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| 作者单位： | 内蒙古工学院基础部 |
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| 摘 要： | 本文利用矩阵的 Frobenius 标准形讨论了矩阵方程 AX-XB=C 的解的情况,特别给出了该方程有解时的递推解法,同时给出了该方程有唯一解的充要条件的另一个证明,且证明过程不用克罗内克尔乘法
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| 关 键 词： | 克罗内克尔乘积 非减次矩阵 Frobenius 标准形 |
The Matrix Equation AX-XB=C |
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| Liu Shulin. The Matrix Equation AX-XB=C[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 1992, 0(2) |
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| Authors: | Liu Shulin |
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| Affiliation: | Teaching Department of Basic Courses |
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| Abstract: | In this paper,by using the Frobenius canonical form,the solution of the matrix equation AX-XB=C is thoroughly discussed.The recursive solving method is given in particular when this equation has role solution or solutions.In addition,another proof of the necessary and sufficient condition for the solution of this equation is supplied without using Kronecker multiplication. |
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| Keywords: | Kronecker multiplication non-derogatory matrix Frobenius canonical form |
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