Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627112 | Applied Mathematics and Computation | 2015 | 20 Pages |
Abstract
Recently, Krukier et al. (2014) and Dou et al. (2014) have studied the generalized skew-Hermitian triangular splitting (GSTS) iteration method for nonsingular and singular saddle point problems, respectively. In this paper, we further extend the GSTS method to a parameterized GSTS (PGSTS) method for solving non-Hermitian nonsingular and singular saddle point problems. By singular value decomposition technique, we derive conditions of the new iterative method for guaranteeing the convergence for non-Hermitian nonsingular saddle point problems and its semi-convergence for singular saddle point problems, respectively. In addition, the choice of the acceleration parameters in a practical manner is studied. Numerical experiments are provided, which further confirm our theoretical results and show the new method is feasible and effective for non-Hermitian nonsingular or singular saddle point problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guo-Feng Zhang, Li-Dan Liao, Zhao-Zheng Liang,