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| 一类矩阵反问题的最小二乘解 | |
| 引用本文： | 吴彦良,尤传华,洪专,韩斌. 一类矩阵反问题的最小二乘解[J]. 甘肃科学学报, 2006, 18(3): 6-9 |
| 作者姓名： | 吴彦良 尤传华 洪专 韩斌 |
| 作者单位： | 1. 中国酒泉卫星发射中心,甘肃,酒泉,732750;兰州大学,数学与统计学院,甘肃,兰州,730000 2. 兰州大学,数学与统计学院,甘肃,兰州,730000 3. 解放军炮兵学院,南京分院数学教研室,江苏,南京,211132 |
| 摘 要： | 讨论了反对称正交对称矩阵反问题的最小二乘解,给出了最小二乘解的一般表达式.作为最小二乘问题的特殊情况-矩阵反问题,得到了有解的充分必要条件,在解存在时给出了解的一般形式. |
| 关 键 词： | 反对称正交对称矩阵 最小二乘解 反问题 |
| 文章编号： | 1004-0366（2006）03-0006-04 |
| 收稿时间： | 2005-06-02 |
| 修稿时间： | 2005-06-02 |
The Least-Squares Solutions for One Class of Inverse Problem of Matrices |
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| WU Yan-liang,YOU Chuan-hua,HONG Zhuan,HAN Bin. The Least-Squares Solutions for One Class of Inverse Problem of Matrices[J]. Journal of Gansu Sciences, 2006, 18(3): 6-9 | |
| Authors: | WU Yan-liang YOU Chuan-hua HONG Zhuan HAN Bin |
| Affiliation: | 1. China Jiuquan Satellite Launch Center, Jiuquan 732750,China; 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China ; 3. Mathematics Teaching Section, Nanjing Artillery Academy of PLA, Nanjing 211132, China |
| Abstract: | The least-squares solutions of inverse problem for anti-symmetric ortho-symmetric matrices are discussed. For the special case of the least-squares problem, the necessary and sufficient conditions for the solvability and the general solution of this problem are derived. |
| Keywords: | anti-symmetric ortho-symmetric matrices least-squares solution inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |