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Research Article | Open Access

The development of new efficient iterative methods for the solution of absolute value equations

Rashid Ali1( )Fuad A. Awwad2Emad A. A. Ismail2
School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
Department of Quantitative analysis, College of Business Administrations, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
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Abstract

The use of absolute value equations (AVEs) is widespread across a wide range of fields, including scientific computing, management science, and engineering. Our aim in this study is to introduce two new methods for solving AVEs and to explore their convergence characteristics. Furthermore, numerical experiments will be carried out to demonstrate their feasibility, robustness, and efficacy.

CLC number: 49M20, 90C33

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AIMS Mathematics
Pages 22565-22577

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Cite this article:
Ali R, Awwad FA, Ismail EAA. The development of new efficient iterative methods for the solution of absolute value equations. AIMS Mathematics, 2024, 9(8): 22565-22577. https://doi.org/10.3934/math.20241098

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Received: 22 May 2024
Revised: 02 July 2024
Accepted: 16 July 2024
Published: 15 August 2024
©2024 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)