A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems

作者：Cao, Yang^*; Li, Sen; Yao, Lin-Quan

来源：Applied Mathematics Letters, 2015, 49: 20-27.

DOI：10.1016/j.aml.2015.04.001

• Nonsymmetric saddle point problem
• Shift-splitting
• Convergence
• Preconditioning
• Eigenvalue

In this paper, a class of generalized shift-splitting preconditioners with two shift parameters are implemented for nonsymmetric saddle point problems with nonsymmetric positive definite (1, 1) block. The generalized shift-splitting (GSS) preconditioner is induced by a generalized shift-splitting of the nonsymmetric saddle point matrix, resulting in an unconditional convergent fixed-point iteration. By removing the shift parameter in the (1, 1) block of the GSS preconditioner, a deteriorated shift-splitting (DSS) preconditioner is presented. Some useful properties of the DSS preconditioned saddle point matrix are studied. Finally, numerical experiments of a model Navier-Stokes problem are presented to show the effectiveness of the proposed preconditioners.

• 出版日期2015-11
• 单位苏州大学; 南通大学