2317

Jun He, Ting-Zhu Huang and Guang-Hui Cheng

Bull. Math. Soc. Sci. Math. Roumanie

Chengdu, Sichuan :School of Mathematical Sciences, University of Electronic Science and Technology of China

2012

55

2

147-155

matrix splittings , HSS iteration 2010 Mathematics Subject Classification: Primary 65K05, Secondary 65N22, 65F10. , Saddle point system

In this paper, we further study the GHSS splitting method for nonHermitian 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.