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Research Article | Open Access

A generalization of the AOR iteration method for solving absolute value equations

School of Mathematics, Yunnan Normal University, Kunming 650500, China
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Abstract

In this paper, based on the accelerated over relaxation (AOR) iteration method, a generalization of the AOR iteration method is presented to solve the absolute value equations (AVE), which is called the GAOR method. The convergence conditions of the GAOR method are obtained. Numerical experiments are presented in order to verify the feasibility of the GAOR method.

Keywords

absolute value equationAOR methodconvergence

References

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Electronic Research Archive
Volume 30 Issue 3,
March 2022
Pages 1062-1074
DOI: 10.3934/era.2022056

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Li C-X. A generalization of the AOR iteration method for solving absolute value equations. Electronic Research Archive, 2022, 30(3): 1062-1074. https://doi.org/10.3934/era.2022056

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Received: 07 December 2021
Revised: 25 February 2022
Accepted: 07 March 2022
Published: 15 March 2022
©2022 the Author(s), licensee AIMS Press.

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