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I.R. "OLYMPIAS"
Article . 1992
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zbMATH Open
Article
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SIAM Journal on Matrix Analysis and Applications
Article . 1992 . Peer-reviewed
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DBLP
Article . 1992
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https://dx.doi.org/10.1137/061...
Article
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Claim

Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence

Best cyclic repartitioning for optimal successive overrelaxation convergence
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 Greece English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 13, pages 102-120 (issn: 0895-4798, eissn: 1095-7162, Copyright policy )
Authors: Galanis, S.; Hadjidimos, A.;

doi: 10.1137/0613010

Best Cyclic Repartitioning for Optimal Successive Overrelaxation Convergence

Abstract

The authors consider the successive overrelaxation (SOR) method for the solution of a linear system whose coefficient matrix \(A\) is block \(p\)- cyclic consistently ordered. Under more general conditions the matrix \(A\) is repartitioned into a block \(q\)-cyclic form \((2\leq q \leq p)\) yielding the best optimal SOR method for the solution of the given system. All previous results are found to be particular subcases of the result discussed here.

Country
Greece
Related Organizations
Keywords

linear-systems, Iterative numerical methods for linear systems, SOR method, successive overrelaxation (sor) iterative method, sor, block \(p\)-cyclic consistently ordered, best cyclic repartitioning, matrices, optimal relaxation factor, least-squares problems, iterative methods, block p-cyclic consistently ordered matrices, successive overrelaxation, iterative solution of linear systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Top 10%
Green