@Article{JCM-13-4, author = {}, title = {On the Splittings for Rectangular Systems}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {4}, pages = {337--342}, abstract = {
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 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 $x_0\in C^n$ and every $b\in C^m$. We also provide a necessary and sufficient condition such that the iterative sequence is convergent for every $x_0\in C^n$.
}, issn = {1991-7139}, doi = {https://doi.org/1995-JCM-9275}, url = {https://global-sci.com/article/85831/on-the-splittings-for-rectangular-systems} }