On a result by Dennis and Schnabel for Newton's method: Further improvements

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:12Z
dc.date.issued2016
dc.description.abstractWe improve local convergence results for Newton's method by defining a more precise domain where the Newton iterates lie than in earlier studies using Dennis and Schnabel-type techniques. A numerical example is presented to show that the new convergence radii are larger and new error bounds are more precise than the earlier ones. © 2015 Elsevier Ltd. All rights reserved.
dc.identifier.citationApplied Mathematics Letters, 2016, 55, , pp. 49-53
dc.identifier.issn8939659
dc.identifier.urihttps://doi.org/10.1016/j.aml.2015.12.003
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26011
dc.publisherElsevier Ltd
dc.subjectError analysis
dc.subjectDennis and Schnabel
dc.subjectError bound
dc.subjectLocal Convergence
dc.subjectNewton's methods
dc.subjectOrder of convergence
dc.subjectNewton-Raphson method
dc.titleOn a result by Dennis and Schnabel for Newton's method: Further improvements

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