PRECONDITIONED HSS-LIKE ITERATIVE METHOD FOR SADDLE POINT PROBLEMS  

作　　者：Qingbing Liu Guoliang Chen Caiqin Song 

机构地区：[1]Department of Mathematics, Zhejiang Wanli University, Ningbo 315100, China [2]Department of Mathematics, East China Normal University, Shanghai 200241, China [3]School of Mathematics, Shandong University, Jinan 250100, China

出　　处：《Journal of Computational Mathematics》2014年第4期442-455,共14页计算数学（英文）

摘　　要：A new HSS-like iterative method is first proposed based on HSS-like splitting of non- Hermitian （1,1） block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspaee method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners.A new HSS-like iterative method is first proposed based on HSS-like splitting of non- Hermitian （1,1） block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspaee method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners.

关 键 词：Saddle point problem Non-Hermitian positive definite matrix HSS-like splitting Preconditioning. 

分 类 号：O241.6[理学—计算数学] V211.3[理学—数学]