| 四元数矩阵的分解 |
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| 引用本文： | 奚传志.四元数矩阵的分解[J].四川师范大学学报(自然科学版),2006,29(4):413-414. |
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| 作者姓名： | 奚传志 |
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| 作者单位： | 枣庄学院,财经系,山东,枣庄,277160 |
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| 摘 要： | 对四元数可中心化矩阵可分解为两个自共轭矩阵乘积（且其中有一个是非奇异矩阵）问题的结果进行了推广，给出了四元数矩阵可分解为两个自共轭矩阵乘积（其中有一个是非奇异矩阵）的一个充分条件，同时得到了一些有用的结果．
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| 关 键 词： | 四元数体 矩阵分解 自共轭矩阵 |
| 文章编号： | 1001-8395（2006）04-0413-02 |
| 收稿时间： | 2004-04-28 |
| 修稿时间： | 2004年4月28日 |
Factorization of Matrices over Quaternion Field |
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| XI Chuan-zhi.Factorization of Matrices over Quaternion Field[J].Journal of Sichuan Normal University(Natural Science),2006,29(4):413-414. |
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| Authors: | XI Chuan-zhi |
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| Institution: | Department of Finance and Economics, Zaozhuang University, Zaozhuang 277160, Shandong |
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| Abstract: | It is well known that a centrabilizable quaternion matrix can be factorized into tow self-conjugate matrices, one of which is an inverse matrix. In this paper, we extended this result and get a sufficient condition under which a quaternion matrix can be written as a product of two self-conjugate matrices, one of which is inverse. |
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| Keywords: | Quaternion field Matrix factioning Self-conjugate matrix |
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