Least-Squares Solutions of Inverse Problems for r-Circulant Matrices
The least-square solutions of inverse problems for the r -circulant matrices are considered and a general expression of such a matrix is presented. Moreover, for the special case of the least-square problems, the necessary and sufficient conditions for the solvability and the general solution of these problems are given. Then the optimal approximation problem for the r -circulant matrix inverse problem is discussed. The existence and the uniqueness of this matrix are proved and the expression of this unique matrix is presented. We also give two numerical examples to support the theory established in this paper.
r-circulant matriz matriz inverse problem least-squares optimal approzimation
Zhongyang Yuan Zhaolin Jiang
College of Statistics & Computing Science, Zhejiang Gongshang University, 310012, Hangzhou Department of Mathematics, Linyi Normal University, 276005, Linyi, Shandong
国际会议
The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)
杭州
英文
1253-1257
2009-07-09（万方平台首次上网日期，不代表论文的发表时间）