| 体上矩阵相似与合相似的判别方法 |
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| 引用本文： | 陈湘贇.体上矩阵相似与合相似的判别方法[J].盐城工学院学报(自然科学版),2008,21(4):8-9. |
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| 作者姓名： | 陈湘贇 |
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| 作者单位： | 盐城工学院,基础教学部,江苏,盐城,224003 |
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| 摘 要： | 运用二阶复矩阵表示四元数,建立了体上四元数矩阵与一类复矩阵的同构性。同时得到一些关于四元数矩阵的性质,以及体上矩阵相似和合相似的充要条件。
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| 关 键 词： | 四元数矩阵 同构 相似 合相似 |
A Discriminishing Method for Similarity and Consimilarity of Matrices Over Quaternion Field |
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| CHEN Xiang-yun.A Discriminishing Method for Similarity and Consimilarity of Matrices Over Quaternion Field[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2008,21(4):8-9. |
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| Authors: | CHEN Xiang-yun |
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| Institution: | Department of Fundamental Sciences,Yancheng Institute of Technology,Jiangsu Yancheng 224003,China |
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| Abstract: | Based on the complex presentation of quaternions,an isomorphism between quaternion matrix and complex matrix is established.We also obtain some properties about quaternion matrix.Finally,the necessary and sufficient condition is shown for similarity and consimilarity of matrices over quaternion field. |
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| Keywords: | quaternion matrix isomorphism similarity consimilarity |
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