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Article . 2005 . Peer-reviewed
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Analysis of Parallel Preconditioned Conjugate Gradient Algorithms

Analysis of parallel preconditioned conjugate gradient algorithms
Authors: Čiegis, Raimondas;

Analysis of Parallel Preconditioned Conjugate Gradient Algorithms

Abstract

Summary: The conjugate gradient method is an iterative technique used to solve systems of linear equations. The paper analyzes the performance of parallel preconditioned conjugate gradient (PPCG) algorithms. First, a theoretical model is proposed for the estimation of the complexity of the PPCG method and a scalability analysis is done for three different data decomposition cases. Computational experiments are done on the IBM SP4 computer and some results are presented. It is shown that theoretical predictions agree well with computational results.

Country
Lithuania
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Keywords

Iterative numerical methods for linear systems, Complexity and performance of numerical algorithms, Parallel numerical computation, incomplete factorization, scalability analysis

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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!
2
Average
Average
Average
gold