| 四元数矩阵方程的复转化及保结构算法 |
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| 引用本文： | 黄敬频,于艳. 四元数矩阵方程的复转化及保结构算法[J]. 纯粹数学与应用数学, 2008, 24(2) |
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| 作者姓名： | 黄敬频 于艳 |
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| 作者单位： | 广西民族大学,数学与计算机科学学院,南宁,530006;广西民族大学,数学与计算机科学学院,南宁,530006 |
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| 基金项目： | 广西自然科学基金，广西教育厅科研项目 |
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| 摘 要： | 给出四元数矩阵复表示运算定义及其相关性质,并运用复表示运算的保结构特性,讨论了四元数矩阵Moore-Penrose逆计算以及两类四元数矩阵方程AXB=C和AX-XB=C的数值求解方法.数值算例检验了所给算法的可行性.
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| 关 键 词： | 四无数矩阵 矩阵方程 复表示 保结构算法 Moore-Penrose逆 |
Complex representation of the quaternion matrix equations and structure-preserving algorithm |
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| HUANG Jing-pin,YU Yan. Complex representation of the quaternion matrix equations and structure-preserving algorithm[J]. Pure and Applied Mathematics, 2008, 24(2) |
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| Authors: | HUANG Jing-pin YU Yan |
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| Affiliation: | HUANG Jing-pin YU Yan (College of Mathematics , Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
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| Abstract: | Complexification operator of the quaternion matrix and its properties are given,and using structure preserving property of the complexification operator,the methods of calculating Moore-Penrose inverse of the quaternion matrix and solving the quaternion matrix equations AXB=C and AX-XB=C are discussed. Numerical examples indicate the feasibility of the algorithm. |
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| Keywords: | quaternion matrix matrix equation complex representation structure-preserving algorithm Moore-Penrose inverse |
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