Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632256 | Applied Mathematics and Computation | 2009 | 12 Pages |
Abstract
In this paper, we propose a new modified logarithmic-quadratic proximal (LQP) method for solving nonlinear complementarity problems (NCP). We suggest using a prediction-correction method to solve NCP. The predictor is obtained via solving the LQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed by using a new step size αkαk. Under suitable conditions, we prove that the new method is globally convergent. We report preliminary computational results to illustrate the efficiency of the proposed method. This new method can be considered as a significant refinement of the previously known methods for solving nonlinear complementarity problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abdellah Bnouhachem, Muhammad Aslam Noor, Mohamed Khalfaoui, Sheng Zhaohan,