| 线性流形上矩阵方程的对称正交反对称最小二乘解 |
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| 引用本文： | 刘莉,王伟. 线性流形上矩阵方程的对称正交反对称最小二乘解[J]. 西南民族学院学报(自然科学版), 2007, 33(5): 1013-1017 |
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| 作者姓名： | 刘莉 王伟 |
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| 作者单位： | 宁夏大学数学计算机学院 银川750021 |
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| 基金项目： | 宁夏大学数学计算机学院青年基金资助项目（0506）. |
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| 摘 要： | 运用矩阵对的标准相关分解,导出了在给定线性流形上一类矩阵方程最小二乘解的一般表达式.
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| 关 键 词： | 矩阵方程 对称正交反对称矩阵 最小二乘解 |
| 文章编号： | 1003-2843（2007）05-1013-05 |
| 收稿时间： | 2007-04-05 |
| 修稿时间： | 2007-04-05 |
Least-squares solutions for symmetric orthogonal anti-symmetric matrices of matrix equation on the linear manifold |
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| LIU Li,WANG Wei. Least-squares solutions for symmetric orthogonal anti-symmetric matrices of matrix equation on the linear manifold[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(5): 1013-1017 |
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| Authors: | LIU Li WANG Wei |
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| Abstract: | By applying the canonical correlation decomposition of matrix pairs, this paper discusses the least-squares solutions of matrix equation BTXB=D for symmetric orthogonal anti-symmetric matrices on the linear manifold. The general expression of the least-squares solution Set is given. |
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| Keywords: | matrix equation symmetric orthogonal anti-symmetric least-square solution |
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