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| 反对称正交反对称矩阵的特征值反问题 | |
| 引用本文： | 景何仿,朱立军. 反对称正交反对称矩阵的特征值反问题[J]. 甘肃科学学报, 2006, 18(3): 1-5 |
| 作者姓名： | 景何仿 朱立军 |
| 作者单位： | 1. 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 2. 西北第二民族学院,信息与计算科学系,宁夏,银川,750021 |
| 基金项目： | 国家民委科研项目 , 西北第二民族学院校科研和教改项目 |
| 摘 要： | 讨论了反对称正交反对称矩阵特征值反问题有解的充分必要条件,在有解时给出了其解集的表达式,并且给出了其中与给定矩阵的最佳逼近解的表达式,以及求解该问题的算法及例子. |
| 关 键 词： | 反对称矩阵 特征值反问题 特征值 |
| 文章编号： | 1004-0366（2006）03-0001-05 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005-10-10 |
The Inverse Eigenvalue Problem for Anti-Symmetric Orthogonal Anti-Symmetric Matrices |
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| JING He-fang,ZHU Li-jun. The Inverse Eigenvalue Problem for Anti-Symmetric Orthogonal Anti-Symmetric Matrices[J]. Journal of Gansu Sciences, 2006, 18(3): 1-5 | |
| Authors: | JING He-fang ZHU Li-jun |
| Affiliation: | 1. Institute for Numerical Computation and Engineering Applications, The Second Northwest University for Minorities, Yinchuan 750021, China;2. Dept of Information and Computing Sciences, The Second Northwest University for Minorities, Yinchuan 750021, China |
| Abstract: | An inverse eigenvalue problem for anti-symmetric orthogonal anti-symmetric matrices is discussed. The solvability conditions and the expression of the general solution for this problem are obtained. When it is solvable, the unique solution, which is an optimal approximation to a given matrix, is also given. In addition, and algorithm and an example for this problme are presented. |
| Keywords: | anti-symmetric matrix inverse problem eigenvalue |
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