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

Seryas Vakili, Ghodrat Ebadi*, Cornelis Vuik

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
24 Downloads (Pure)

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.

Original languageEnglish
Article numbere2478
Number of pages24
JournalNumerical Linear Algebra with Applications
Volume30 (2023)
Issue number4
DOIs
Publication statusPublished - 2022

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.

Keywords

  • convergence
  • preconditioning
  • saddle point problem
  • shift-splitting

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