| 四元数矩阵的特征值与奇异值估计 |
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| 引用本文： | 黄礼平.四元数矩阵的特征值与奇异值估计[J].数学研究及应用,1992,12(3):449-454. |
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| 作者姓名： | 黄礼平 |
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| 作者单位： | 湖南省湘潭农业学校 |
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| 摘 要： | In this paper, we give accurate estimation of eigenvalues and singular values of A + B,C*AC and AB, where A, B and C are quaternions matrices. These results improve and generalze the results in 4] and 5]. We also obtainsum (?),for k=1,…,n. Where A and B are self-conjugate quaternions matrices of order n, and λ1≥…≥λn,μ1≥μn,λ1,(A + B)≥…≥λn(A+B) be the eigenvalues of A,B and A + B, respectively.
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| 关 键 词： | 矩阵 四元数 特征值 奇异值 估计 |
| 收稿时间： | 1990/9/30 0:00:00 |
Estimation of Eigenvalues and Singular Values for Quaternions Matrices |
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| Huang Liping.Estimation of Eigenvalues and Singular Values for Quaternions Matrices[J].Journal of Mathematical Research with Applications,1992,12(3):449-454. |
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| Authors: | Huang Liping |
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| Institution: | Xiangtan agricultural school; Hunan; China |
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