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DOE OSTI · 22783803

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

Huang, Baohua·Ma, Changfeng
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Abstract

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.

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97 MATHEMATICS AND COMPUTINGCONVERGENCEEQUATIONSMATRICESNONLINEAR PROBLEMS

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Huang, Baohua, Ma, Changfeng. 2018-07-15. Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems. https://doi.org/10.1007/s40314-017-0496-z

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