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Applied Mathematics Letters
Article
License: Elsevier Non-Commercial
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Applied Mathematics Letters
Article . 2011
License: Elsevier Non-Commercial
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Applied Mathematics Letters
Article . 2011 . Peer-reviewed
License: Elsevier Non-Commercial
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zbMATH Open
Article . 2011
Data sources: zbMATH Open
DBLP
Article . 2011
Data sources: DBLP
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A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots

Authors: Young Hee Geum; Young Ik Kim;

A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots

Abstract

A one-parameter family of three-step eighth-order multipoint iterative methods is proposed. The methods require three evaluations of the function and one evaluation of the first derivative. Convergence analysis is given, and numerical experiments show favourable comparison with existing methods.

Related Organizations
Keywords

Complexity and performance of numerical algorithms, convergence, uniparametric family, eighth-order convergence, Applied Mathematics, multipoint method, Numerical computation of solutions to single equations, numerical experiments, efficiency index

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    30
    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.
    Top 10%
    influence
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citations
The total number of citations received by all articles of the researcher of interest.
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!
30
Top 10%
Top 10%
Top 10%
hybrid