Enlarging the convergence ball of the method of parabola for finding zero of derivatives

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:51Z
dc.date.issued2015
dc.description.abstractWe present a new technique for enlarging the convergence ball of the method of parabola in order to approximate a zero of derivatives. This approach also leads to more precise error estimates on the distances involved than in earlier studies such as Hua (1974), Ren and Wu (2009) and Wand (1975). These advantages are obtained under the same computational cost on the Lipschitz constants involved as in the earlier studies. Numerical examples are also given to show the advantages over the earlier work. © 2015 Elsevier Inc. All rights reserved.
dc.identifier.citationApplied Mathematics and Computation, 2015, 256, , pp. 68-74
dc.identifier.issn963003
dc.identifier.urihttps://doi.org/10.1016/j.amc.2015.01.030
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26321
dc.publisherElsevier Inc. usjcs@elsevier.com
dc.subjectComputational methods
dc.subjectComputational costs
dc.subjectConvergence ball
dc.subjectError estimates
dc.subjectLipschitz constant
dc.subjectNewton's methods
dc.subjectParabola method
dc.subjectSecant methods
dc.subjectNewton-Raphson method
dc.titleEnlarging the convergence ball of the method of parabola for finding zero of derivatives

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