ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS

作     者：H.J. Tian(Department of Mathematics, Shanghai Normal University, Shanghai, China) 

作者机构：上海师范大学数学系 上海 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1995年第13卷第4期

页      面：337-342页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：AR Math ON THE SPLITTINGS FOR RECTANGULAR SYSTEMS 

摘      要：Recently, M. Hanke and M. Neumann([4]) have derived a necessary and sufficient condition on a splitting of A = U-V, which leads to a fixed point system, such that the iterative sequence converges to the least squares solution of minimum a-norm of the system Ax = b. In this paper, we give a necessary and sufficient condition on the splitting such that the iterative sequence converges to the weighted Moore-Penrose solution of the system Ax = b for every to is an element of C-n and every b is an element of C-m. We also provide a necessary and sufficient condition such that the iterative sequence is convergent for every to x(0) is an element of C-n.