| 引用本文: | 程薇,冯良贵,俞森.四元数长方矩阵的同时复对角化.[J].国防科技大学学报,2008,30(6):134-138.[点击复制] |
| CHENG Wei,FENG Lianggui,YU Sen.Simulatenous Complex Diagonalization of Rectangular Quaternionic Matrices[J].Journal of National University of Defense Technology,2008,30(6):134-138[点击复制] |
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| 四元数长方矩阵的同时复对角化 |
| 程薇, 冯良贵, 俞森 |
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(国防科技大学 理学院， 湖南 长沙 410073)
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| 摘要: |
| 利用四元数矩阵的奇异值分解(SVD)，对两个四元数长矩阵给出了其同时复对角化的充要条件，进一步对一个四元数长矩阵集合，针对其同时复对角化问题，给出了一系列充分必要条件。 |
| 关键词: 奇异值分解 四元数长矩阵 同时复对角化(SCD) |
| DOI： |
| 投稿日期：2008-01-17 |
| 基金项目:新世纪优秀人才计划项目 |
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| Simulatenous Complex Diagonalization of Rectangular Quaternionic Matrices |
| CHENG Wei, FENG Lianggui, YU Sen |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The simultaneous complex diagonalization (SCD) of two rectangular quaternionic matrices is introduced, moreover, SCD of a set of rectangular quaternionic matrices is also introduced, and some necessary and sufficient conditions for the existence of the SCD are derived. |
| Keywords: singular value decomposition rectangular quaternionic matrices simultaneous complex digonalization |
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