4.5 Article

On the convergence of two-step modulus-based matrix splitting iteration method

Journal

OPEN MATHEMATICS
Volume 19, Issue 1, Pages 1461-1475

Publisher

DE GRUYTER POLAND SP Z O O
DOI: 10.1515/math-2021-0132

Keywords

linear complementarity problem; modulus-based type iteration method; convergence condition

Categories

Funding

  1. Zhaoqing University Research Program [611612279]
  2. Zhaoqing Education and Development Project [ZQJYY2020093]
  3. Characteristic Innovation Project of Department of Education of Guangdong Province [2020KTSCX159]
  4. Science and Technology Innovation Guidance Project of Zhaoqing City [2021040315026]
  5. Innovative Research Team Project of Zhaoqing University
  6. 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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