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| 对称次反对称矩阵左右特征值反问题解存在的条件 | |
| 引用本文： | 洪专,田英,尤传华,朱雅敏.对称次反对称矩阵左右特征值反问题解存在的条件[J].甘肃科学学报,2005,17(3):9-12. |
| 作者姓名： | 洪专 田英 尤传华 朱雅敏 |
| 作者单位： | 1. 兰州大学,数学系,甘肃,兰州,730000;中国人民解放军炮兵学院南京分院数学教研室,江苏,南京,211132 2. 中国人民解放军炮兵学院南京分院数学教研室,江苏,南京,211132 3. 兰州大学,数学系,甘肃,兰州,730000 |
| 摘 要： | 讨论了对称次反对称矩阵左右特征值反问题解存在的充分必要条件，给出了解的具体表达式，对于给定的矩阵，给出了存在最佳逼近解的充要条件以及最佳逼近解。 |
| 关 键 词： | 对称次反对称矩阵 左右特征值 反问题 |
| 文章编号： | 1004-0366（2005）03-0009-04 |
| 收稿时间： | 2004-06-08 |
| 修稿时间： | 2004-06-08 |
The Hecessary Conditions for the Solvability of Inverse Problems Concerning the Left and Right Eigenvalues of Symmetric and Skew Anti-symmetric Mtrices |
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| HONG Zhuan,TIAN Ying,YOU Chuan-hua,ZHU Ya-min.The Hecessary Conditions for the Solvability of Inverse Problems Concerning the Left and Right Eigenvalues of Symmetric and Skew Anti-symmetric Mtrices[J].Journal of Gansu Sciences,2005,17(3):9-12. | |
| Authors: | HONG Zhuan TIAN Ying YOU Chuan-hua ZHU Ya-min |
| Abstract: | The sufficient and necessary conditions for the left and right eigenvalues of symmetric and skew anti-symmetric matrices are discussed. The expression of the specitic solution to this problem is given. The sufficient and necessary conditions for the matrices are given and the optimal approximate solution is provided. |
| Keywords: | symmetric and skew anti-symmetric matrices the left and right eigenvalues inverse problems |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |