| 关于自共轭四元数矩阵特征值的两个性质定理 |
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| 引用本文： | 张德江.关于自共轭四元数矩阵特征值的两个性质定理[J].盐城工学院学报(自然科学版),2012,25(3):31-33. |
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| 作者姓名： | 张德江 |
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| 作者单位： | 盐城生物工程高等学校电子工程系,江苏盐城224051 |
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| 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。
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| 关 键 词： | 自共轭四元数矩阵 特征值 直积 |
The Two Property Theorem of Eigenvalue on Self- conjugate Quaternion Matrix |
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| ZHANG De-jiang.The Two Property Theorem of Eigenvalue on Self- conjugate Quaternion Matrix[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2012,25(3):31-33. |
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| Authors: | ZHANG De-jiang |
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| Institution: | ZHANG De-jiang ( Department of Electronic Engineering, Yancheng Higher Vocational School of Biological Engineering, Yancheng Jiangsu 224051, China) |
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| Abstract: | 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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| Keywords: | self - conjugate quaternion matrix eigenvalue direct product |
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