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

Abstract

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.

Keywords

• iterative method
• convergence analysis
• gauss-seidel method
• sparse matrix
• aor method