| 实四元数体上矩阵的Schur乘积 |
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| 引用本文： | 陈湘赟.实四元数体上矩阵的Schur乘积[J].苏州大学学报(医学版),2008,24(3):30-33. |
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| 作者姓名： | 陈湘赟 |
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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： | 讨论了实四元数体上Schur乘积问题．首先给出了实四元数体上Schur乘积的概念，然后得到了自共轭矩阵的Schur乘积的一些新结果．最后将实或复矩阵中的著名结果推广到了四元数体上．
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| 关 键 词： | Schur乘积 四元数体 半正定矩阵 Schur定理 自共轭矩阵 |
The Schur produce of matrix over quaternion division algebra |
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| Chen Xiangyun.The Schur produce of matrix over quaternion division algebra[J].Journal of Suzhou University(Natural Science),2008,24(3):30-33. |
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| Authors: | Chen Xiangyun |
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| Institution: | Chen Xiangyun ( Department of Fundamental Science, Yancheng Institute of Technology, Yancheng 224003, China) |
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| Abstract: | The Schur product over the quaternion division algebra is discussed. First, the concept of Schur product is extended to the quaternion division algebra. Some properties and theorems about the Schur product of the self-conjugate matrix are obtained. Meanwhile, some famous theorems of the real and complex matrix are promoted. |
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| Keywords: | Schur product quaternion division algebra semi-positive definite matrices Schur theorem self-conjugatematrix |
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