| 实四元数矩阵方程的广义反对称酉反对称解 |
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| 引用本文： | 吴文静,王丽丽,孙梅兰.实四元数矩阵方程的广义反对称酉反对称解[J].合肥学院学报(自然科学版),2008,18(2):11-13. |
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| 作者姓名： | 吴文静 王丽丽 孙梅兰 |
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| 作者单位： | 合肥学院,数学与物理系,合肥,230601 |
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| 基金项目： | 合肥学院教研基金
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合肥学院校科研和教改项目 |
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| 摘 要： | 利用广义反对称酉反对称矩阵的性质和矩阵的自反逆的理论，得到了实四元数矩阵方程AX=C和矩阵方程组A1X=C1,A2X=C2]的广义反对称酉反对称解的存在条件及其通解表达式．
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| 关 键 词： | 四元数矩阵方程 自反逆 广义反对称酉反对称矩阵 |
| 文章编号： | 1673-162X(2008)02-0011-03 |
| 修稿时间： | 2008年3月3日 |
General Anti-symmetric Unitary Anti-symmetric Solutions to Systems of Real Quaternion Matrix Equations |
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| WU Wen-jing,WANG Li-li,SUN Mei-lan.General Anti-symmetric Unitary Anti-symmetric Solutions to Systems of Real Quaternion Matrix Equations[J].Journal of Hefei University :Natural Sciences,2008,18(2):11-13. |
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| Authors: | WU Wen-jing WANG Li-li SUN Mei-lan |
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| Institution: | ( Department of Mathematics and Physics, Hefei University, Hefei 230601, China) |
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| Abstract: | By applying the properties of general anti-symmetric unitary anti-symmetric matrix and the theory of reflexive inverse of matrix, the sufficient conditions for the existence and the common expressions of general anti-symmetric unitary anti-symmetric solutions of matrix equation AX = C and the systemA1X=C1,A2X=C2]are presented. |
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| Keywords: | system of quaternion matrix equations reflexive inverse general anti-symmetric unitary anti-symmetric matrix |
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