scholarly journals On the optimal parameters of GMSSOR method for saddle point problems

2016 ◽  
Vol 55 ◽  
pp. 54-62 ◽  
Author(s):  
Yanhui Bi ◽  
Naimin Zhang ◽  
Lijuan Zhou
Keyword(s):  
Saddle Point ◽  
Optimal Parameters ◽  
Saddle Point Problems

scholarly journals Generalized ASOR and Modified ASOR Methods for Saddle Point Problems

2016 ◽  
Vol 2016 ◽  
pp. 1-18
Author(s):  
Zhengge Huang ◽  
Ligong Wang ◽  
Zhong Xu ◽  
Jingjing Cui
Keyword(s):  
Saddle Point ◽  
Convergence Rates ◽  
Sufficient Conditions ◽  
Optimal Parameters ◽  
Saddle Point Problems ◽  
Successive Overrelaxation ◽  
Numerical Examples ◽  
Singular Saddle Point Problems ◽  
Iteration Parameters

Recently, the accelerated successive overrelaxation- (SOR-) like (ASOR) method was proposed for saddle point problems. In this paper, we establish a generalized accelerated SOR-like (GASOR) method and a modified accelerated SOR-like (MASOR) method, which are extension of the ASOR method, for solving both nonsingular and singular saddle point problems. The sufficient conditions of the convergence (semiconvergence) for solving nonsingular (singular) saddle point problems are derived. Finally, numerical examples are carried out, which show that the GASOR and MASOR methods have faster convergence rates than the SOR-like, generalized SOR (GSOR), modified SOR-like (MSOR-like), modified symmetric SOR (MSSOR), generalized symmetric SOR (GSSOR), generalized modified symmetric SOR (GMSSOR), and ASOR methods with optimal or experimentally found optimal parameters when the iteration parameters are suitably chosen.

Modified unsymmetric SOR method for saddle-point problems

2014 ◽  
Vol 234 ◽  
pp. 584-598 ◽  
Author(s):  
Zhao-Zheng Liang ◽  
Guo-Feng Zhang
Keyword(s):  
Saddle Point ◽  
Saddle Point Problems ◽  
Sor Method
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