| 反对称正交反对称矩阵的反问题可解的条件 |
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| 引用本文： | 景何仿,尤传华,李春光.反对称正交反对称矩阵的反问题可解的条件[J].宁夏大学学报(自然科学版),2005,26(4):293-296. |
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| 作者姓名： | 景何仿 尤传华 李春光 |
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| 作者单位： | 西北第二民族学院,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 |
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| 基金项目： | 国家民委重点课题基金资助项目 |
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| 摘 要： | 讨论了反对称正交反对称矩阵的反问题．首先，得到了反问题可解的充分必要条件及可解时解集合的表达式；其次，给出了可解时解集合中与给定矩阵最佳逼近的解；最后，给出了算法及例子．
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| 关 键 词： | 反对称正交反对称矩阵 反问题 最佳逼近 |
| 文章编号： | 0253-2328（2005）04-0293-04 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005年3月28日 |
The Solvability Conditions for Inverse Problems of Anti-symmetric Orthogonal Anti-symmetric Matrices |
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| Jing Hefang,You Chuanhua,Li Chunguang.The Solvability Conditions for Inverse Problems of Anti-symmetric Orthogonal Anti-symmetric Matrices[J].Journal of Ningxia University(Natural Science Edition),2005,26(4):293-296. |
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| Authors: | Jing Hefang You Chuanhua Li Chunguang |
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| Institution: | 1. Institute for Numerical Computation and Engineering Applications, the Second Northwest Institute for Ethnic Minorities, Yinehuan 750021, China 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | The inverse problem of anti-symmetric orthogonal anti-symmetric matrices is discussed in this paper. The solvability conditions and the expression of the general solution for this problem are obtained. When it is solvable, the unique solution which is the optimal approximation to a given matrix is also given. In addition, an algorithm and an example for this problem are presented. |
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| Keywords: | anti-symmetric orthogonal anti-symmetric matrix inverse problem optimal approximation |
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