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Foundations
Article . 2022 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Foundations
Article
License: CC BY
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Multidisciplinary Digital Publishing Institute
Other literature type . 2022
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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On the Semi-Local Convergence of a Jarratt-Type Family Schemes for Solving Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 17 Feb 2022 English Publisher:MDPI AGJournal:Foundations, volume 2, pages 234-241 (eissn: 2673-9321, Copyright policy )
Authors: Christopher I. Argyros; Ioannis K. Argyros; Stepan Shakhno; Halyna Yarmola;

doi: 10.3390/foundations2010017

On the Semi-Local Convergence of a Jarratt-Type Family Schemes for Solving Equations

Abstract

We study semi-local convergence of two-step Jarratt-type method for solving nonlinear equations under the classical Lipschitz conditions for first-order derivatives. To develop a convergence analysis we use the approach of restricted convergence regions in combination to majorizing scalar sequences and our technique of recurrent functions. Finally, the numerical example is given.

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Keywords

Banach space, semi-local convergence, nonlinear equation, Jarratt-type scheme

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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
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Average
gold