Developments on the convergence region of newton-like methods with generalized inverses in banach spaces

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-08T16:50:28Z
dc.date.issued2019
dc.description.abstractThe convergence region of Newton-like methods involving Banach space valued mappings and generalized inverses is extended. To achieve this task, a region is found inside the domain of the mapping containing the iterates. Then, the semi-local as well as local convergence analysis is finer, since the new Lipschitz parameters are at least as small and in earlier work using the same information. We compare convergence criteria using numerical examples. © 2020 by Nova Science Publishers, Inc. All rights reserved.
dc.identifier.citationUnderstanding Banach Spaces, 2019, Vol., , p. 47-55
dc.identifier.isbn9781536167450
dc.identifier.isbn9781536167467
dc.identifier.urihttps://doi.org/10.1057/s41310-024-00225-8
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/33840
dc.publisherNova Science Publishers, Inc.
dc.subjectBanach space
dc.subjectGeneralized inverses
dc.subjectLocal
dc.subjectNewton-like methods
dc.subjectSemi-local convergence
dc.titleDevelopments on the convergence region of newton-like methods with generalized inverses in banach spaces

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