Local comparison between two ninth convergence order algorithms for equations

dc.contributor.authorRegmi, S.
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:28:28Z
dc.date.issued2020
dc.description.abstractA local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence. Moreover, no error estimates, radius of convergence or results on the uniqueness of the solution that can be computed were given. The novelty of our study is that we address all these concerns by using only the first derivative which actually appears on these algorithms. That is how to extend the applicability of these algorithms. Our technique provides a direct comparison between these algorithms under the same set of convergence criteria. This technique can be used on other algorithms. Numerical experiments are utilized to test the convergence criteria. © 2020 by the authors.
dc.identifier.citationAlgorithms, 2020, 13, 6, pp. -
dc.identifier.urihttps://doi.org/10.3390/A13060147
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23860
dc.publisherMDPI AG rasetti@mdpi.com Postfach Basel CH-4005
dc.subjectConvergence criterion
dc.subjectConvergence order
dc.subjectFirst derivative
dc.subjectLocal Convergence
dc.subjectNumerical experiments
dc.subjectOrdering algorithms
dc.subjectRadius of convergence
dc.subjectSolving nonlinear equations
dc.subjectNonlinear equations
dc.titleLocal comparison between two ninth convergence order algorithms for equations

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