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

Journal article (2022)

Authors

Seryas Vakili University of Tabriz
G. Ebadi University of Tabriz, Research Department of Computational Algorithms and Mathematical Models, Numerical Analysis - EEMCS
Cornelis Vuik Delft Institute of Applied Mathematics
Department
Delft Institute of Applied Mathematics
Copyright: © 2022 Seryas Vakili, G. Ebadi, Cornelis Vuik
DOI: https://doi.org/10.1002/nla.2478
Preconditioning Convergence Saddle point problem Shift-splitting
More Info
expand_more

Published Date

2022

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Department

Delft Institute of Applied Mathematics

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 (Formula presented.) 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 (Formula presented.) method for solving nonsymmetric saddle-point problems.