Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems

Journal Article · Sun Jul 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-017-0496-Z· OSTI ID:22783803

Huang, Baohua; Ma, Changfeng ^[1]

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1. College of Mathematics and Informatics, Fujian Normal University, Fujian Key Laboratory of Mathematical Analysis and Applications (China)

In this paper, we reformulate a class of nonlinear complementarity problems as the implicit fixed-point equations. We demonstrate accelerated modulus-based matrix splitting iteration method. We show their convergence by assuming that the system matrix is positive definite or the splitting of the system matrix are H{sub +}-compatible splitting and discuss the choice of the optimal parameter. Furthermore, we give two-step accelerated modulus-based matrix splitting iteration method, which may achieve higher computing efficiency. Numerical experiments are presented to show the effectiveness of the method.

• OSTI ID: 22783803
• Journal Information: Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 3 Vol. 37; ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
CONVERGENCE
EQUATIONS
MATRICES
NONLINEAR PROBLEMS