| 正定自共轭四元数矩阵的均值 |
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| 引用本文： | 庄瓦金.正定自共轭四元数矩阵的均值[J].数学研究,1996,29(3):65-69. |
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| 作者姓名： | 庄瓦金 |
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| 作者单位： | 福建漳州师院数学系 |
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| 摘 要： | 本文引进了两个正定自共轭四元数矩阵的算术均值，几何均值，调和均值三概念，给出了正定自共轭四元数矩阵的算术－几何－调和均值不等式，得到了正定自共轭四元数矩阵的几何均值的一个最大性质及其相关的某些性质．
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| 关 键 词： | 正定自共轭四元数矩阵，算术均值，几何均值，调和均值 |
The Means for Positive Definite Self-Coniugate Matrices of Quaternions |
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| Zhuang Wajin.The Means for Positive Definite Self-Coniugate Matrices of Quaternions[J].Journal of Mathematical Study,1996,29(3):65-69. |
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| Authors: | Zhuang Wajin |
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| Abstract: | This paper introduce the concepts of the arithmetic mean, the geometric mean and the harmonic mean for two positive definite Self-conjugate metrices of quaternions; give the arithmetic-geometric-harmonic mean inequalities of positive definite Self-conjugate matrices of quaternions, and obtain the maximum property of the a geometric mean |
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| Keywords: | Positive definite Self-conjugate matrix of quaternions Arithmetic mean geometric mean Harmonic mean |
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