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Volume 37, Issue 1
On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner

Davod Hezari, Vahid Edalatpour, Hadi Feyzollahzadeh & Davod Khojasteh Salkuyeh

DOI: 10.4208/jcm.1707-m2016-0730

J. Comp. Math., 37 (2019), pp. 18-32.

Published online: 2018-08

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65F10, 65N22

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

d.hezari@gmail.com (Davod Hezari)

vedalat.math@gmail.com (Vahid Edalatpour)

hadi.feyz@yahoo.com (Hadi Feyzollahzadeh)

khojasteh@guilan.ac.ir (Davod Khojasteh Salkuyeh)

  • BibTex
  • RIS
  • TXT
@Article{JCM-37-18, author = {Hezari , DavodEdalatpour , VahidFeyzollahzadeh , Hadi and Khojasteh Salkuyeh , Davod}, title = {On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner}, journal = {Journal of Computational Mathematics}, year = {2018}, volume = {37}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1707-m2016-0730}, url = {http://global-sci.org/intro/article_detail/jcm/12646.html} }
TY - JOUR T1 - On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner AU - Hezari , Davod AU - Edalatpour , Vahid AU - Feyzollahzadeh , Hadi AU - Khojasteh Salkuyeh , Davod JO - Journal of Computational Mathematics VL - 1 SP - 18 EP - 32 PY - 2018 DA - 2018/08 SN - 37 DO - http://doi.org/10.4208/jcm.1707-m2016-0730 UR - https://global-sci.org/intro/article_detail/jcm/12646.html KW - Saddle point problem, Preconditioner, Nonsymmetric, Symmetric, Positive definite, Krylov subspace method. AB -

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.

Hezari , DavodEdalatpour , VahidFeyzollahzadeh , Hadi and Khojasteh Salkuyeh , Davod. (2018). On the Generalized Deteriorated Positive Semi-Definite and Skew-Hermitian Splitting Preconditioner. Journal of Computational Mathematics. 37 (1). 18-32. doi:10.4208/jcm.1707-m2016-0730
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