BALL CONVERGENCE OF POTRA-PTAK-TYPE METHOD WITH OPTIMAL FOURTH ORDER OF CONVERGENCE

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:26:36Z
dc.date.issued2021
dc.description.abstractWe present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]–[28] hypotheses up to the fourth derivative are used. In this paper we use hypotheses up to the first derivative only, so that the applicability of these methods is extended under weaker hypotheses. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study. © 2021, Publishing House of the Romanian Academy. All rights reserved.
dc.identifier.citationJournal of Numerical Analysis and Approximation Theory, 2021, 50, 1, pp. 44-51
dc.identifier.issn24576794
dc.identifier.urihttps://doi.org/10.33993/jnaat501-1247
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22993
dc.publisherPublishing House of the Romanian Academy
dc.subjectlocal convergence
dc.subjectNewton’s method
dc.subjectorder of convergence
dc.subjectPotra-Ptak-type method
dc.titleBALL CONVERGENCE OF POTRA-PTAK-TYPE METHOD WITH OPTIMAL FOURTH ORDER OF CONVERGENCE

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