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| 四元数矩阵的Jordan标准形 | |
| 引用本文： | 陈龙玄,侯仁民.四元数矩阵的Jordan标准形[J].应用数学和力学,1996,17(6):533-542. |
| 作者姓名： | 陈龙玄 侯仁民 |
| 作者单位： | 烟台大学数学系 |
| 摘 要： | 本文是在四元数矩阵的重行列式理论的基础上，直接利用四元数的乘法证明了。任意一个四元数矩阵都相似于特征主值表征的Ｊｏｒｄａｎ标准形及其唯一性． |
| 关 键 词： | 重行列式，重特征多项式，特征主值，Jordan标准形 |
Jordan Canonical Forms of Matrices over Quaternion Field |
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| Chen Longxuan, Hou Renmin, Wang Liangtao.Jordan Canonical Forms of Matrices over Quaternion Field[J].Applied Mathematics and Mechanics,1996,17(6):533-542. | |
| Authors: | Chen Longxuan Hou Renmin Wang Liangtao |
| Abstract: | By using quaternion multiplication and the double determinant theory over quaternion field, we provd that an arbitrary quaternion square matrix is similar to a unique Jordan canonical form indicated by its principal characteristic values. |
| Keywords: | double determinant double characteristic polynomial principal characteristic value Jordan canonical form |
| 本文献已被 CNKI 维普 等数据库收录！ | |