| 两组四元数线性矩阵方程组的解 |
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| 引用本文： | 谢仲洲,刘晓冀. 两组四元数线性矩阵方程组的解[J]. 山东大学学报(理学版), 2008, 43(12): 40-47 |
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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;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： | 研究了两组线性四元数矩阵方程组有解的等价条件和解的表达式。
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| 关 键 词： | 线性方程组 等价条件 解的表达式 |
| 收稿时间： | 2008-09-10 |
General solutions to two pairs of quaternion matrix equations |
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| XIE Zhong-zhou,LIU Xiao-ji. General solutions to two pairs of quaternion matrix equations[J]. Journal of Shandong University, 2008, 43(12): 40-47 |
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| Authors: | XIE Zhong-zhou LIU Xiao-ji |
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| Affiliation: | College of Maths and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China |
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| Abstract: | The purpose was to discuss the general solution to the systems of quaternion matrix equations X1A1=C1,X2A2=C2,A3X1B1 A4X2B2=Cb and A1X1=C1,X2A2=C2,A3X1B1 A4X2B2=Cb.Then the necessary and sufficient conditions for the existence and the expressions of the general solution to the systems mentioned above were obtained. |
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| Keywords: | the system of matrix equations necessary and sufficient conditions expression of general solution |
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