| 四元数矩阵的奇异值分解及其应用 |
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| 引用本文： | 刘永辉,姜同松,魏木生.四元数矩阵的奇异值分解及其应用[J].高等学校计算数学学报,2003,25(4):321-328. |
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| 作者姓名： | 刘永辉 姜同松 魏木生 |
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| 作者单位： | 华东师范大学数学系,上海,200062 |
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| 基金项目： | 上海市重点学科建设基金 |
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| 摘 要： | In this paper, a constructive proof of singular value decomposition of quaternion matrix is given by using the complex representation and companion vector of quaternion matrix and the computational method is described. As an application of the singular value decomposition, the CS decomposition is proved and the canonical angles on subspaces of Q^n is studied.
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| 关 键 词： | 四元数矩阵 奇异值分解 存在性 特征值 酉矩阵 |
| 修稿时间： | 2002年6月1日 |
THE SINGULAR VALUE DECOMPOSITION OF QUATERNION MATRIX WITH APPLICATIONS |
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| Liu Yonghui Jiang Tongsong Wei Musheng.THE SINGULAR VALUE DECOMPOSITION OF QUATERNION MATRIX WITH APPLICATIONS[J].Numerical Mathematics A Journal of Chinese Universities,2003,25(4):321-328. |
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| Authors: | Liu Yonghui Jiang Tongsong Wei Musheng |
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| Abstract: | In this paper, a constructive proof of singular value decomposition of quaternion matrix is given by using the complex representation and companion vector of quaternion matrix and the computational method is described. As an application of the singular value decomposition, the CS decomposition is proved and the canonical angles on subspaces of Qn is studied. |
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| Keywords: | Quaternion matrix singular value decomposition CS decomposition canonical angle |
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