A modified generalization of the Hermitian and skew-Hermitian splitting iteration

作者:He, Jun*; Huang, Ting-Zhu; Cheng, Guang-Hui
来源:Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2012, 55(2): 147-155.

摘要

In this paper, we further study the CUSS splitting method for non-Hermitian positive definite linear problems, which is introduced by Benzi [A generalization of the Hermitian and skew-Hermitian splitting iteration, SIAM J. Matrix Anal. Appl., 31 (2009), pp. 360-374]. A modified generalization of the Hermitian and skew-Hermitian method (MGHSS) is given, and it still can be used as an effective preconditioner for saddle point systems. We will show the effectiveness of our preconditioner.