ON NEWTON’S METHOD FOR SUBANALYTIC EQUATIONS

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:07Z
dc.date.issued2017
dc.description.abstractWe present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24], [25], [26], resulting to a larger convergence ball and a smaller ratio of convergence. In the semilocal convergence case contravariant conditions not used before are employed to show the convergence of Newton’s method. Numerical examples illustrating the advantages of our approach are also presented in this study. © 2017, Publishing House of the Romanian Academy. All rights reserved.
dc.identifier.citationJournal of Numerical Analysis and Approximation Theory, 2017, 46, 1, pp. 25-37
dc.identifier.issn24576794
dc.identifier.urihttps://doi.org/10.33993/jnaat461-1132
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25505
dc.publisherPublishing House of the Romanian Academy
dc.subjectconvergence ball
dc.subjectlocal-semilocal convergence
dc.subjectNewton’s methods
dc.subjectsubanalytic functions
dc.titleON NEWTON’S METHOD FOR SUBANALYTIC EQUATIONS

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