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Research Article | Open Access

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

Kamsing Nonlaopon1( ), Farooq Ahmed Shah2, Khaleel Ahmed2, Ghulam Farid2
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
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Abstract

In this article, a new generalized iterative technique is presented for finding the approximate solution of a system of linear equations A x = 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 methodconvergence analysisGauss-Seidel methodsparse matrixAOR method
CLC number: 65F10, 90C30

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6504-6519
DOI: 10.3934/math.2023328

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Cite this article:
Nonlaopon K, Shah FA, Ahmed K, et al. A generalized iterative scheme with computational results concerning the systems of linear equations. AIMS Mathematics, 2023, 8(3): 6504-6519. https://doi.org/10.3934/math.2023328

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Received: 29 August 2022
Revised: 14 December 2022
Accepted: 20 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)