Extensions of kantorovich-type theorems for Newton's method

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorSahu, D.R.
dc.date.accessioned2026-02-05T09:29:07Z
dc.date.issued2020
dc.description.abstractWe extend the applicability of Newton's method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works. © Instytut Matematyczny PAN, 2020
dc.identifier.citationApplicationes Mathematicae, 2020, 47, 1, pp. 145-153
dc.identifier.issn12337234
dc.identifier.urihttps://doi.org/10.4064/AM2352-1-2018
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24136
dc.publisherInstitute of Mathematics. Polish Academy of Sciences publ@impan.gov.pl
dc.subjectMajorant function
dc.subjectNewton's method
dc.subjectRestricted convergence domain
dc.subjectSemilocal convergence
dc.titleExtensions of kantorovich-type theorems for Newton's method

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