4.6 Article Proceedings Paper

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

Journal

NUMERICAL ALGORITHMS
Volume 75, Issue 2, Pages 339-358

Publisher

SPRINGER
DOI: 10.1007/s11075-016-0243-3

Keywords

Nonlinear complementarity problems; Accelerated modulus-based iteration methods; Matrix splitting; Positive definite matrix; H+-matrix

Funding

  1. National Natural Science Foundation of China [11271289]

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To solve a class of nonlinear complementarity problems, accelerated modulus-based matrix splitting iteration methods are presented and analyzed. Convergence analysis and the choice of the parameters are given when the system matrix is either positive definite or an H (+)-matrix. Numerical experiments further demonstrate that the proposed methods are efficient and have better performance than the existing modulus-based iteration method in aspects of the number of iteration steps and CPU time.

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