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| 关于自共轭四元数矩阵特征值的两个性质定理 |
| The Two Property Theorem of Eigenvalue on Self- conjugate Quaternion Matrix |
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| DOI：10.3969/j.issn.1671-5322.2012.03.009 |
| 中文关键词: 自共轭四元数矩阵 特征值 直积 |
| 英文关键词: self-conjugate quaternion matrix eigenvalue direct product |
| 基金项目: |
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| 摘要点击次数: 8586 |
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| 中文摘要: |
| 特征值理论是矩阵理论的重要组成部分，在自然科学和工程技术中有着广泛的应用。由于四元数乘积的非交换性，使这一理论的研究困难重重。根据四元数体上自共轭矩阵的性质，并结合四元数矩阵直积的定义，给出四元数体上自共轭矩阵的两个性质定理。 |
| 英文摘要: |
| Eigenvalue theory,an important part of the matrix theory,has a wide range of applications in the natural sciences and engineering.Due to the the quaternion product non-exchangeable,there are many difficulties in this research.According to the property of self-conjugate quaternion matrix,this paper combines the definition of quaternion matrix direct product,and gives two property theorems of the self-conjugate quaternion matrix. |
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