| 四元数体上方阵乘积可交换的充要条件 |
| |
| 引用本文： | 周硕,郭丽杰.四元数体上方阵乘积可交换的充要条件[J].北华大学学报(自然科学版),2001,2(4):286-288. |
| |
| 作者姓名： | 周硕 郭丽杰 |
| |
| 作者单位： | 东北电力学院,基础部,吉林,吉林,132012 |
| |
| 摘 要： | 给出了四元数的矩阵表示及四元数乘积可交换的充要条件，并利用相似矩阵标准形与广义约当分解，讨论了四元数体上方阵乘积可交换的充要条件，并给出了特殊矩阵的乘积可交换阵的形式。
|
| 关 键 词： | 四元数体 乘积可交换 相似标准形 约当分解 充要条件 矩阵理论 |
| 文章编号： | 1009-4822(2001)04-0286-03 |
| 修稿时间： | 2001年4月12日 |
Exchangeable Necessary and Sufficient Condition of Square Matrix Product on Quaternion Field |
| |
| Zhou Shuo,Guo Lijie.Exchangeable Necessary and Sufficient Condition of Square Matrix Product on Quaternion Field[J].Journal of Beihua University(Natural Science),2001,2(4):286-288. |
| |
| Authors: | Zhou Shuo Guo Lijie |
| |
| Abstract: | The matrix representation of the quaternion numbers and exchangeable necessary and sufficient condition of quaternion field have been studied.At the same time, the exchangeable necessary and sufficient condition of square matrix product on quaternion field has been investigated by using the standard form of the resemblance matrix and generalization Jordan disassociation. The exchangeable form of special matrix product has been discussed. |
| |
| Keywords: | Quaternion field Exchangeable product Resemblance standard form Jordan disassociation Necessary and sufficient condition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
