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Research Article | Open Access

Modified BAS iteration method for absolute value equation

Cui-Xia Li1( ), Long-Quan Yong2
School of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China
Shaanxi Key Laboratory of Industrial Automation, Shaanxi University of Technology, Hanzhong, Shaanxi 723001, China
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Abstract

In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.

Keywords

block-diagonal and anti-block-diagonal splittingiteration methodabsolute value equationconvergence
CLC number: 65F10, 90C05, 90C30

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 606-616
DOI: 10.3934/math.2022038

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Li C-X, Yong L-Q. Modified BAS iteration method for absolute value equation. AIMS Mathematics, 2022, 7(1): 606-616. https://doi.org/10.3934/math.2022038

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Received: 14 July 2021
Accepted: 29 September 2021
Published: 15 January 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)