부산대학교 도서관

Summary: ``Recently, M. Hanke\ and M. Neumann\ [Numer. Math. {\bf 57} (1990), no.~1, 85--95; MR1043804 (91d:65053)] 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 2-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 $x_0\in {\bf C}^n$ and every $b\in \bold C^m$. We also provide a necessary and sufficient condition such that the iterative sequence is convergent for every $x_0\in \bold C^n$.''