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

Author:

Nonlaopon Kamsing1,Shah Farooq Ahmed2,Ahmed Khaleel2,Farid Ghulam2

Affiliation:

1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference36 articles.

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3. Y. Saad, Iterative methods for sparse linear systems, SIAM, 2003. https://doi.org/10.1137/1.9780898718003

4. D. K. Salkuyeh, Generalized Jacobi and Gauss-Seidel methods for solving linear system of equations, Numer. Math. J. Chin. Univ., 16 (2007), 164–170.

5. R. S. Varga, Iterative analysis, Berlin: Springer, 1962.

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