期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 494, 期 -, 页码 1-10出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2016.01.002
关键词
Nonlinear complementarity problem; Matrix splitting; Convergence
资金
- National Natural Science Foundation of China [11371154, 11271069]
- Training program for outstanding young teachers in Guangdong Province [20140202]
- Educational Commission of Guangdong Province, China [2014KQNCX210]
In this paper, we reformulate the nonlinear complementarity problem as an implicit fixed-point equation. We establish a modulus-based matrix splitting iteration method based on the implicit fixed-point equation and prove its convergence theorem under suitable conditions. Furthermore, we propose a two-step modulus-based matrix splitting iteration method, which may achieve higher computing efficiency. We can obtain many matrix splitting iteration methods by suitably choosing the matrix splittings and the parameters. The proposed methods can be regarded as extensions of the methods for linear complementarity problem. Numerical experiments are presented to show the effectiveness of the proposed methods. (C) 2016 Elsevier Inc. All rights reserved.
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