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zbMATH Open
Article . 1985
Data sources: zbMATH Open
SIAM Journal on Scientific and Statistical Computing
Article . 1985 . Peer-reviewed
Data sources: Crossref
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m-Step Preconditioned Conjugate Gradient Methods

m-step preconditioned conjugate gradient methods
Authors: Adams, Loyce;

m-Step Preconditioned Conjugate Gradient Methods

Abstract

The paper deals with the solution of a sparse system of symmetric positive definite linear equations by preconditioned conjugate gradient methods. Necessary and sufficient conditions are found for the applicability of preconditioners that are based on taking m steps of an iterative method. The computer implementation of these methods is discussed.

Keywords

Iterative numerical methods for linear systems, Computational methods for sparse matrices, Numerical computation of matrix norms, conditioning, scaling, symmetric successive overrelaxation, preconditioned conjugate gradient, multi-color ordering

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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!
65
Top 10%
Top 1%
Top 10%
bronze