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Research Article | Open Access

Two effective inexact iteration methods for solving the generalized absolute value equations

Miao Guo, Qingbiao Wu( )
Department of Mathematics, Zhejiang University, Hangzhou, 310018, Zhejiang, China
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Abstract

Modified Newton-type methods are efficient for addressing the generalized absolute value equations. In this paper, to further speed up the modified Newton-type methods, two new inexact modified Newton-type iteration methods are proposed. The sufficient conditions for the convergence of the two proposed inexact iteration methods are given. Moreover, to demonstrate the efficacy of the new method, several numerical examples are provided.

Keywords

generalized absolute value equationlinear complementarity problemmodified Newton-type methodinexact iteration methodconvergence analysis
CLC number: 47H10, 65H10

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18675-18689
DOI: 10.3934/math.20221027

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Guo M, Wu Q. Two effective inexact iteration methods for solving the generalized absolute value equations. AIMS Mathematics, 2022, 7(10): 18675-18689. https://doi.org/10.3934/math.20221027

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Received: 23 May 2022
Revised: 03 August 2022
Accepted: 08 August 2022
Published: 15 October 2022
©2022 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)