On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner

Authors

  • Davod Hezari Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  • Vahid Edalatpour Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  • Hadi Feyzollahzadeh Department of Mathematical and Computer Science, Technical Faculty, University of Bonab, Bonab, Iran
  • Davod Khojasteh Salkuyeh Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

DOI:

https://doi.org/10.4208/jcm.1707-m2016-0730

Keywords:

Saddle point problem, Preconditioner, Nonsymmetric, Symmetric, Positive definite, Krylov subspace method.

Abstract

For nonsymmetric saddle point problems, Huang et al. in [Numer. Algor. 75 (2017), pp. 1161-1191] established a generalized variant of the deteriorated positive semi-definite and skew-Hermitian splitting (GVDPSS) preconditioner to expedite the convergence speed of the Krylov subspace iteration methods like the GMRES method. In this paper, some new convergence properties as well as some new numerical results are presented to validate the theoretical results.

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Published

2018-08-23

Issue

Vol. 37 No. 1 (2019)

Section

Articles