New choices of preconditioning matrices for generalized inexact parameterized iterative methods

Authors:
Yang Cao;Mei-Qun Jiang;Lin-Quan Yao
Affiliations:
School of Mathematical Science, Soochow University, Suzhou, Jiangsu, 215006, PR China;School of Mathematical Science, Soochow University, Suzhou, Jiangsu, 215006, PR China;School of Mathematical Science, Soochow University, Suzhou, Jiangsu, 215006, PR China and School of Urban Transportation, Soochow University, Suzhou, Jiangsu, 215021, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

For large sparse saddle point problems, Chen and Jiang recently studied a class of generalized inexact parameterized iterative methods (see [F. Chen, Y.-L. Jiang, A generalization of the inexact parameterized Uzawa methods for saddle point problems, Appl. Math. Comput. 206 (2008) 765-771]). In this paper, the methods are modified and some choices of preconditioning matrices are given. These preconditioning matrices have advantages in solving large sparse linear system. Numerical experiments of a model Stokes problem are presented.