1. Parallel and cyclic hybrid subgradient extragradient methods for variational inequalities
- Author
-
Dang Van Hieu
- Subjects
Mathematical optimization ,021103 operations research ,General Mathematics ,Numerical analysis ,0211 other engineering and technologies ,Parallel algorithm ,Novelty ,010103 numerical & computational mathematics ,02 engineering and technology ,01 natural sciences ,Variational inequality ,0101 mathematics ,Subgradient method ,Mathematics - Abstract
In this paper, we propose two hybrid subgradient extragradient methods for solving common solutions of variational inequalities problems (CSVIP). The first is a parallel algorithm which can be performed simultaneously while the second is a cyclic algorithm which is computed sequentially on each subproblem in the family. The novelty of this paper is that we have designed the algorithms to develop possible practical numerical methods when the number of subproblems is large. The algorithms can be considered as improvements of some previously known results for CSVIPs. Numerical experiments are also performed to illustrate the efficiency of the proposed algorithms.
- Published
- 2016