Local convergence of modified Halley-Like methods with less computation of inversion

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:53Z
dc.date.issued2015
dc.description.abstractWe present a local convergence analysis of a Modified Halley-Like Method of high convergence order 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. Earlier studies use hypotheses up to the third Frèchet-derivative [26]. Numerical examples are also provided in this study. © 2015, Institute of Mathematics. All rights reserved.
dc.identifier.citationNovi Sad Journal of Mathematics, 2015, 45, 2, pp. 47-58
dc.identifier.issn14505444
dc.identifier.urihttps://doi.org/10.30755/nsjom.2014.018
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26354
dc.publisherInstitute of Mathematics nsjom@dmi.uns.ac.rs
dc.subjectBanach space
dc.subjectFrèchet-derivative
dc.subjectJarratt-type methods
dc.subjectLocal convergence
dc.titleLocal convergence of modified Halley-Like methods with less computation of inversion

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