| 一类四元数体上线性矩阵方程组的解 |
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| 引用本文： | 谢仲洲,刘晓冀.一类四元数体上线性矩阵方程组的解[J].四川师范大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 谢仲洲 刘晓冀 |
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| 作者单位： | 广西民族大学,数学与计算机科学学院,广西,南宁,530006 |
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| 摘 要： | 利用四元数矩阵的广义逆给出了在四元数体上由4个线性方程A1X=C1,A2X=C2,A3XB3=C3,A4XB4=C4,构成的方程组有解的充分必要条件和一般解的表达式.
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| 关 键 词： | 四元数 线性方程组 解的表达式 广义逆 |
General Solution to a System of Quaternion Matrix Equations |
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| XIE Zhong-zhou,LIU Xiao-ji.General Solution to a System of Quaternion Matrix Equations[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
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| Authors: | XIE Zhong-zhou LIU Xiao-ji |
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| Institution: | College of Mathmatics and Computer Science;Guangxi University Nationalities;Nanning 530006;Guangxi |
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| Abstract: | In this paper,the quaternion matrix equations A1X=C1,A2X=C2,A3XB3=C3,A4XB4=C4,is considered.A necessary and sufficient condition for the existence and the expression of the general solution to the system is obtained by using the generalized inverses of matrices. |
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| Keywords: | Quaternion Matrix equations General solution Generalized inverse |
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