| 四元数方阵的正定性 |
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| 引用本文： | 郭时光.四元数方阵的正定性[J].四川理工学院学报(自然科学版),1999,12(1):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,自贡,643033 |
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| 摘 要： | 讨论四元数方阵，给出Ｈｅｒｍｉｔａｎ矩阵，反Ｈｅｒｍｉｔａｎ矩阵与正定矩阵的可合标准形式，拓广了复方阵正定性的几个结果
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| 关 键 词： | 四元数 可合 正定 右特征值 |
| 修稿时间： | 1998－10－20 |
Positive Definite Property of Matrices over Quaternionic Field |
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| Guo Shiguang.Positive Definite Property of Matrices over Quaternionic Field[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1999,12(1):2. |
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| Authors: | Guo Shiguang |
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| Abstract: | Matrices over quaternionic field are studied.The conjunctive normal forms of Hermitan matrices and negative Hermitan matrices and positive definite matrices are given.And several results about positive definite property of complex matrices are generalized. |
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| Keywords: | quaternion conjunctive positive definite right eigenvalue |
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