g-循环矩阵反问题的最小二乘解  

Least-Square Solutions of Inverse Problem for g-Circulant Matrices

作　　者：朱泉涌[1] 

机构地区：[1]丽水学院数理学院,浙江丽水323000

出　　处：《长春师范学院学报（自然科学版）》2008年第3期24-26,共3页Journal of Changchun Teachers College

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。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.

关 键 词：G-循环矩阵 反问题 最小二乘解 最佳逼近 

分 类 号：O241.2[理学—计算数学]