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Research Article | Open Access

A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

Dongmei Yu1, Yiming Zhang1, Cairong Chen2( ), Deren Han3
Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin 123000, China
School of Mathematics and Statistics, FJKLMAA and Center for Applied Mathematics of Fujian Province, Fujian Normal University, Fuzhou 350007, China
LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing 100191, China
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Abstract

A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed to solve linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix A being an H + -matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.

Keywords

linear complementarity problemrelaxationaccelerationmodulus-based matrix splitting iteration methodconvergence analysis
CLC number: 65F10, 65H10, 90C30

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 13368-13389
DOI: 10.3934/math.2023677

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Cite this article:
Yu D, Zhang Y, Chen C, et al. A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems. AIMS Mathematics, 2023, 8(6): 13368-13389. https://doi.org/10.3934/math.2023677

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Received: 26 January 2023
Revised: 13 March 2023
Accepted: 15 March 2023
Published: 15 June 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)