On the complexity of extending the convergence region for Traub's method

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:28:58Z
dc.date.issued2020
dc.description.abstractThe convergence region of Traub's method for solving equations is small in general. This fact limits its applicability. We locate a more precise region containing the Traub iterations leading to at least as tight Lipschitz constants as before. Our convergence analysis is finer, and obtained without additional conditions. The new theoretical results are tested on numerical examples that illustrate their superiority over earlier results. © 2019
dc.identifier.citationJournal of Complexity, 2020, 56, , pp. -
dc.identifier.issn0885064X
dc.identifier.urihttps://doi.org/10.1016/j.jco.2019.101423
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24084
dc.publisherAcademic Press Inc. apjcs@harcourt.com
dc.subjectNewton-Raphson method
dc.subjectConvergence analysis
dc.subjectConvergence region
dc.subjectLipschitz constant
dc.subjectNewton's methods
dc.subjectSemi-local convergences
dc.subjectTraub's method
dc.subjectBanach spaces
dc.titleOn the complexity of extending the convergence region for Traub's method

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