| 四元数广义奇异值分解及其应用 |
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| 引用本文： | 姜同松,刘永辉,魏木生.四元数广义奇异值分解及其应用[J].高校应用数学学报(英文版),2006,21(1). |
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| 作者姓名： | 姜同松 刘永辉 魏木生 |
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| 基金项目： | 中国科学院资助项目
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教育部科学技术研究项目 |
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| 摘 要： |
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QUATERNION GENERALIZED SINGULAR VALUE DECOMPOSITION AND ITS APPLICATIONS |
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| Jiang Tongsong,Liu Yonghui,Wei Musheng.QUATERNION GENERALIZED SINGULAR VALUE DECOMPOSITION AND ITS APPLICATIONS[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1). |
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| Authors: | Jiang Tongsong Liu Yonghui Wei Musheng |
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| Abstract: | This paper derives a theorem of generalized singular value decomposition of quaternion matrices(QGSVD),studies the solution of general quaternion matrix equation AXB-CYD=E,and obtains quaternionic Roth's theorem.This paper also suggestssufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation. |
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| Keywords: | QGSVD quaternion matrix equation Roth's theorem |
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