Ball convergence theorem for inexact Newton methods in Banach space

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:28:12Z
dc.date.issued2020
dc.description.abstractWe 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 Fréchet-derivative of the operator involved. Numerical examples are also provided in this study. © 2020, SINUS Association. All rights reserved.
dc.identifier.citationCreative Mathematics and Informatics, 2020, 29, 2, pp. 113-120
dc.identifier.issn1584286X
dc.identifier.urihttps://doi.org/10.37193/CMI.2020.02.01
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23714
dc.publisherSINUS Association
dc.subjectBanach space
dc.subjectFréchet-derivative
dc.subjectHigh convergence order method
dc.subjectLocal Convergence
dc.titleBall convergence theorem for inexact Newton methods in Banach space

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