A generalized projection iterative method for solving non-singular linear systems
Ashif Mustafa, Manideepa Saha · Mathematical Foundations of Computing · 2022
In this paper, we propose and analyze iterative method based on projection techniques to solve a non-singular linear system \begin{document}$ Ax = b $\end{document} . In particular, for a given positive integer \begin{document}$ m $\end{document} , \begin{document}$ m $\end{document} -dimensional successive projection method ( \begin{document}$ m $\end{document} D-SPM) for symmetric positive definite matrix \begin{document}$ A $\end{document} , is generalized for non-singular matrix \begin{document}$ A $\end{document} . Moreover, it is proved that \begin{document}$ m $\end{document} D-SPM gives better result for large values of \begin{document}$ m $\end{document} . Numerical experiments are carried out to demonstrate the superiority of the proposed method in comparison with other schemes in the scientific literature.