| Popis: |
Recently, Bai and Benzi [Regularized HSS iteration methods for saddlepoint linear systems, Bit Numer. Math., 57 (2017) 287-311] have presented a class of regularized Hermitian and skew-Hermitian splitting methods to solve saddle point problems. In this paper, we establish a simplified RHSS (SRHSS) preconditioner which is much closer to the saddle point matrix than the RHSS preconditioner. We prove the convergence of the proposed method (SRHSS) under suitable restrictions on the iteration parameters. We also study the spectral properties of the preconditioned matrix and eigenvector distribution. Lastly, numerical experiments are carried out and experimental results show that the proposed SRHSS preconditoner method is feasible and effective. AMSC : 65F10; 65F15; 65F50 |
