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

Abstract

Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner.