A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems

Authors:	Seryas Vakili Ghodrat Ebadi Cornelis Vuik

Affiliation:	1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;2. Delft University of Technology, Delft Institute of Applied Mathematics, Delft, The Netherlands

Abstract:	In this article, a parameterized extended shift-splitting (PESS) method and its induced preconditioner are given for solving nonsingular and nonsymmetric saddle point problems with nonsymmetric positive definite (1,1) part. The convergence analysis of the $P E S S $$ PESS $$$ iteration method is discussed. The distribution of eigenvalues of the preconditioned matrix is provided. A number of experiments are given to verify the efficiency of the $P E S S $$ PESS $$$ method for solving nonsymmetric saddle-point problems.

Keywords:	convergence preconditioning saddle point problem shift-splitting