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| 体上矩阵相似与合相似的判别方法 |
| A Discriminishing Method for Similarity and Consimilarity of Matrices Over Quaternion Field |
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| DOI：10.3969/j.issn.1671-5322.2008.04.003 |
| 中文关键词: 四元数矩阵 同构 相似 合相似 |
| 英文关键词: quaternion matrix isomorphism similarity consimilarity |
| 基金项目: |
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| 摘要点击次数: 3959 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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