A generalized iterative scheme with computational results concerning the systems of linear equations

In this article, a new generalized iterative technique is presented for finding the approximate solution of a system of linear equations Ax = b. The efficiency of iterative technique is analyzed by implementing it on some examples, and then comparing with existing methods. A parameter introduced in the method plays very vital role for a better and rapid solution. Convergence analysis is also examined. Findings of this paper may stimulate further research in this area.

Automated summary

This article presents a new generalized iterative technique for finding the approximate solution of a system of linear equations Ax = b. The efficiency of the iterative technique is analyzed by implementing it on some examples and comparing it with existing methods. A parameter introduced in the method plays a vital role in achieving better and quicker solutions. Convergence analysis is also examined. The findings of this paper may inspire further research in this area.