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Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems.
- Source :
- Computational & Applied Mathematics; Jul2018, Vol. 37 Issue 3, p3053-3076, 24p
- Publication Year :
- 2018
-
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+<inline-graphic></inline-graphic>-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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01018205
- Volume :
- 37
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 130626962
- Full Text :
- https://doi.org/10.1007/s40314-017-0496-z