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

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

Year:    2019

Author:    Davod Hezari, Vahid Edalatpour, Hadi Feyzollahzadeh, Davod Khojasteh Salkuyeh

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 1 : pp. 18–32

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Computational Mathematics, Vol. 37 (2019), Iss. 1 : pp. 18–32

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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

Author Details

Davod Hezari

Vahid Edalatpour

Hadi Feyzollahzadeh

Davod Khojasteh Salkuyeh

  1. A class of modified DPSS preconditioners for generalized saddle-point linear systems

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    https://doi.org/10.1007/s40314-019-0844-2 [Citations: 1]