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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 1, Pages 71–80 (Mi sjvm500)  
This article is cited in 8 scientific papers (total in 8 papers)

Comparison analysis for improving preconditioned SOR-type iterative method

H. Saberi Najafia, S. A. Edalatpanahb

a Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran
b Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Full-text PDF (201 kB) Citations (8)
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Abstract: In this article, on the basis of nonnegative matrices, some preconditioners from class of $(I+S)$-type based on the SOR method have been studied. Moreover, we prove the monotonicity of spectral radiuses of iterative matrices with respect to the parameters in [12]. Also, some splittings and preconditioners are compared and derived by comparisons. A numerical example is also given to illustrate our results.
Key words: preconditioning, comparison theorems, spectral radius, SOR, $L$-, $M$-matrix.
Received: 02.06.2011
Revised: 24.10.2011
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 1, Pages 62–70
DOI: https://doi.org/10.1134/S1995423913010084
Bibliographic databases:
Document Type: Article
MSC: 65F10, 15A06
Language: Russian
Citation: H. Saberi Najafi, S. A. Edalatpanah, “Comparison analysis for improving preconditioned SOR-type iterative method”, Sib. Zh. Vychisl. Mat., 16:1 (2013), 71–80; Num. Anal. Appl., 6:1 (2013), 62–70
Citation in format AMSBIB
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\paper Comparison analysis for improving preconditioned SOR-type iterative method
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\vol 16
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\pages 71--80
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\transl
\jour Num. Anal. Appl.
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\pages 62--70
\crossref{https://doi.org/10.1134/S1995423913010084}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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