矩阵方程AX=XB的解及其应用 |
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引用本文: | 郑正亚,郑建民.矩阵方程AX=XB的解及其应用[J].零陵学院学报,1999(3). |
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作者姓名: | 郑正亚 郑建民 |
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作者单位: | 湖南零陵师专!永州425006(郑正亚),湖南零陵农校!冷水滩425100(郑建民) |
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摘 要: | 本文给出了解矩阵方程 AX=XB的方法 ,指出了两个同阶矩阵有公共特征根的充要条件 ,矩阵相似的充要条件及求相似变换矩阵的一种方法
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关 键 词: | 矩阵方程 当然解 通解 公共特征根 |
The Solution and Application on Matrix Equation AX=BX |
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Authors: | Zheng zhengya |
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Abstract: | In this paper,it gives the solution of matrix equation AX=BX,and points out the sufficient and mecessary condition that two same-order matrix have common charactertic roots,the sufficient and necessary condition that matrixes are similarities smong them,and a finding of similarity transformation matrix. |
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Keywords: | Matrix Equation Natural solution General solution Common Characteristic Root |
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