| g-循环矩阵反问题的最小二乘解 |
| |
| 作者单位： | 丽水学院数理学院 浙江丽水323000 |
| |
| 摘 要： | 讨论了g-循环矩阵反问题的最小二乘解,得到了通解的表达式,给出了该问题有解的充要条件,并讨论了其最佳逼近问题,证明了逼近矩阵的存在惟一性且给出具体表达式。
|
| 关 键 词： | g-循环矩阵 反问题 最小二乘解 最佳逼近 |
Least-Square Solutions of Inverse Problem for g-Circulant Matrices |
| |
| Authors: | ZHU Quan-yong |
| |
| Abstract: | In this paper,the least-square solutions of the inverse problem of g-circulant matrices are discussed,and the expression of the general solution is obtained.In addition,the necessary and sufficient conditions about the problem are derived,the problem of the optimal approximation to a given matrix is discussed.At last,the existence and uniqueness of approximation matrices is proved,and the concrete expression of it is provided. |
| |
| Keywords: | g-circulant matrices inverse problem least-square solution optimal approximation |
| 本文献已被 CNKI 等数据库收录！ |
|
