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

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) ORCID 0000-0002-5988-9153

 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, 30 (2023) (4)

 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
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