| 反对称正交反对称矩阵反问题的最小二乘解 |
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| 引用本文： | 景何仿,尤传华,李春光,司书红. 反对称正交反对称矩阵反问题的最小二乘解[J]. 兰州大学学报(自然科学版), 2007, 43(5): 125-129 |
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| 作者姓名： | 景何仿 尤传华 李春光 司书红 |
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| 作者单位： | 北方民族大学 数值计算与工程应用研究所,宁夏 银川,750021;兰州大学 数学与统计学院,甘肃 兰州,730000;兰州交通大学 数理与软件学院,甘肃 兰州,730070 |
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| 基金项目： | 国家自然科学基金，宁夏自然科学基金，宁夏高等学校基金 |
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| 摘 要： | 主要讨论反对称正交反对称矩阵的反问题的最小二乘解.首先,在反对称正交反对称矩阵的集合范围内求出了矩阵方程AX=B的最小二乘解;其次,求出其中与给定矩阵的最佳逼近解;最后给出了求解此类问题的算法和例子.
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| 关 键 词： | 反对称正交反对称矩阵 反问题 最小二乘解 |
| 文章编号： | 0455-2059（2007）05-0125-05 |
| 修稿时间： | 2006-02-28 |
Least-squares solutions of inverse problems for anti-symmetric orthogonal anti-symmetric matrices |
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| JING He-fang,YOU Chuan-hua,LI Chun-guang,SI Shu-hong. Least-squares solutions of inverse problems for anti-symmetric orthogonal anti-symmetric matrices[J]. Journal of Lanzhou University(Natural Science), 2007, 43(5): 125-129 |
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| Authors: | JING He-fang YOU Chuan-hua LI Chun-guang SI Shu-hong |
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| Affiliation: | 1. Research Institute of Numerical Computation and Engineering Applications, North National University, Yinchuan 750021, China; 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China; 3. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University Lanzhou 730070, China |
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| Abstract: | The inverse problems of anti-symmetric orthogonal anti-symmetric matrices have been discussed. Firstly, we have found the least squares solutions A, which are anti-symmetric orthogonal anti-symmetric matrix, for the matrix equation AX = B. Secondly, in these solutions we have presented the optimal approximation to a given matrix. Finally, we have given an algorithm and an example for these problems. |
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| Keywords: | anti-symmetric orthogonal anti-symmetric matrix inverse Droblem least-sauares solution |
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