| 四元数矩阵的酉相合 |
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| 引用本文： | 郭时光.四元数矩阵的酉相合[J].四川理工学院学报(自然科学版),1999,12(3):2. |
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| 作者姓名： | 郭时光 |
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| 作者单位： | 四川轻化工学院基础部,四川,自贡,643033 |
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| 摘 要： | 考察四元数矩阵的酉相合及与之有关的性质。证明了关于复矩阵的若干结论（例如：与对角形矩阵酉相似的矩阵是正规矩阵，任一矩阵有奇异值分解， Ｓｃｈｕｒ 不等式等）在四元数情形亦真。
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| 关 键 词： | 酉相似 酉相合 主右特征值 主谱列 |
Unitary Congruence of the Matrices over Quaternionic Field |
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| GUO Shi-guang.Unitary Congruence of the Matrices over Quaternionic Field[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1999,12(3):2. |
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| Authors: | GUO Shi-guang |
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| Abstract: | he properties of unitary congruence of matrices over quaternionic field are studied.It is proved that some thorems about the matrices over quaternionic field are as correct as them over complex,such as a normal matrix being unitary congruent with a diagonal matrix,there being singgular value decomposition of matrices,Schuran inequality and so on. |
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| Keywords: | unitary similar unitary congruence main right eigenvalue main spectral sequence |
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