Local convergence for an eighth order method for solving equations and systems of equations

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:30:27Z
dc.date.issued2019
dc.description.abstractThe aim of this study is to extend the applicability of an eighth convergence order method from the k-dimensional Euclidean space to a Banach space setting. We use hypotheses only on the first derivative to show the local convergence of the method. Earlier studies use hypotheses up to the eighth derivative although only the first derivative and a divided difference of order one appear in the method. Moreover, we provide computable error bounds based on Lipschitz-type functions. © 2019 I.K Argyros and S. George.
dc.identifier.citationNonlinear Engineering, 2019, 8, 1, pp. 74-79
dc.identifier.issn21928010
dc.identifier.urihttps://doi.org/10.1515/nleng-2017-0105
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24720
dc.publisherDe Gruyter Open Ltd
dc.subjectError analysis
dc.subjectComputable error bounds
dc.subjectConvergence order
dc.subjectDivided difference of order one
dc.subjectEuclidean spaces
dc.subjectFirst derivative
dc.subjectLipschitz conditions
dc.subjectLocal Convergence
dc.subjectSystems of equations
dc.subjectBanach spaces
dc.titleLocal convergence for an eighth order method for solving equations and systems of equations

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