An improved semilocal convergence analysis for the Halley's method

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorKhattri, S.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:31:10Z
dc.date.issued2018
dc.description.abstractWe expand the applicability of the Halley's method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than in earlier studies such as [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 20, 21, 23] and furthermore developed convergence criteria can be weaker. Finally numerical work is reported that compares favorably to the existing approaches in the literature [6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 24, 25, 26, 28]. © 2018 International Publications. All rights reserved.
dc.identifier.citationAdvances in Nonlinear Variational Inequalities, 2018, 21, 2, pp. 1-17
dc.identifier.issn1092910X
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25084
dc.publisherInternational Publications internationalpubls@yahoo.com
dc.subjectBanach space
dc.subjectFréchet-derivative
dc.subjectHalley method
dc.subjectMajorizing sequence
dc.subjectSemilocal convergence
dc.titleAn improved semilocal convergence analysis for the Halley's method

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