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

[摘要] 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.

[学科分类] 地球科学(综合)

[关键词] iterative method;convergence analysis;Gauss-Seidel method;sparse matrix;AOR method