Title
A parameterized extended shift-splitting preconditioner for nonsymmetric saddle point problems
Author
Vakili, Seryas (University of Tabriz)
Ebadi, G. (TU Delft Numerical Analysis; University of Tabriz; Research Department of Computational Algorithms and Mathematical Models)
Vuik, Cornelis (TU Delft Delft Institute of Applied Mathematics) 
Department
Delft Institute of Applied Mathematics
Date
2022
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.
Subject
convergence
preconditioning
saddle point problem
shift-splitting
To reference this document use:
http://resolver.tudelft.nl/uuid:177aef14-8e0f-421f-9a83-43caca3a94b1
DOI
https://doi.org/10.1002/nla.2478
Embargo date
2023-05-31
ISSN
1070-5325
Source
Numerical Linear Algebra with Applications
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Part of collection
Institutional Repository
Document type
journal article
Rights
© 2022 Seryas Vakili, G. Ebadi, Cornelis Vuik