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

AIMS Mathematics

article

Kamsing Nonlaopon¹  Farooq Ahmed Shah²  Khaleel Ahmed²  Ghulam Farid² 

[1] Department of Mathematics, Faculty of Science, Khon Kaen University;Department of Mathematics, COMSATS University Islamabad, Attock Campus

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

DOI  :  10.3934/math.2023328

学科分类：地球科学(综合)

来源: AIMS Press

【 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.

【 授权许可】

CC BY