Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635645 | Applied Mathematics and Computation | 2007 | 10 Pages |
Abstract
In this paper, we propose two prediction-correction methods for solving general variational inequalities. The first method makes use of a descent direction to produce the new iterate while the second method generates the corrector by the improved extragradient method. Under certain conditions, the global convergence of both methods is proved. It is proved theoretically that the lower-bound of the progress obtained by the second method is greater than that by the first one. Numerical results are given to verify and compare the numerical efficiency of these two predictor-corrector methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abdellah Bnouhachem, Muhammad Aslam Noor,