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Creative Mathematics and Informatics
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Creative Mathematics and Informatics
Article . 2020 . Peer-reviewed
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https://dx.doi.org/10.37193/cm...
Other literature type
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Ball convergence theorem for inexact Newton methods in Banach space

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Sep 2020Publisher:Technical University of Cluj Napoca, North University Center of Baia MareJournal:Creative Mathematics and Informatics, volume 29, pages 113-120 (issn: 1584-286X, eissn: 1843-441X, Copyright policy )
Authors: IOANNIS K. ARGYROS; GEORGE SANTHOSH;

doi: 10.37193/cmi.2020.02.01

Ball convergence theorem for inexact Newton methods in Banach space

Abstract

We present a local convergence analysis for inexact Newton methods in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Frèchet-derivative of the operator involved. Numerical examples are also provided in this study.

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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!
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