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zbMATH Open
Article . 1996
Data sources: zbMATH Open
SIAM Journal on Scientific Computing
Article . 1996 . Peer-reviewed
Data sources: Crossref
DBLP
Article
Data sources: DBLP
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GMRES and Integral Operators

GMRES and integral operators
Authors: Carl T. Kelley; Z. Q. Xue;

GMRES and Integral Operators

Abstract

The purpose of this paper is to show how the generalized minimal residual (GMRES) method can be modified to incorporate Nyström interpolation at a small cost in both computational effort and algorithmic complexity. The result is an algorithm that has the convergence property of Broyden's method. An example is given to compare GMRES, both with and without Nyström interpolation and Broyden's method as primary solvers.

Keywords

Iterative numerical methods for linear systems, Complexity and performance of numerical algorithms, convergence, algorithmic complexity, Broyden's method, Nyström interpolation, GMRES, generalized minimal residual method

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    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).
    17
    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
17
Average
Top 10%
Average
bronze