Journal
OPEN MATHEMATICS
Volume 19, Issue 1, Pages 1461-1475Publisher
DE GRUYTER POLAND SP Z O O
DOI: 10.1515/math-2021-0132
Keywords
linear complementarity problem; modulus-based type iteration method; convergence condition
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Funding
- Zhaoqing University Research Program [611612279]
- Zhaoqing Education and Development Project [ZQJYY2020093]
- Characteristic Innovation Project of Department of Education of Guangdong Province [2020KTSCX159]
- Science and Technology Innovation Guidance Project of Zhaoqing City [2021040315026]
- Innovative Research Team Project of Zhaoqing University
- Scientific Research Ability Enhancement Program for Excellent Young Teachers of Zhaoqing University
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This paper discusses the conditions of modulus-based iteration methods based on the relationship between the linear complementarity problem and its reformulated fixed-point equation. It also presents convergence results on the two-step modulus-based matrix splitting iteration method with an H+-matrix, and provides numerical experiments.
In this paper, based on the relationship between the linear complementarity problem and its reformulated fixed-point equation, we discuss the conditions of the modulus-based type iteration methods. Moreover, we present some convergence results on the two-step modulus-based matrix splitting iteration method with an H+-matrix. Finally, we give the numerical experiments.
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