Improved local convergence for Euler–Halley-like methods with a parameter

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:33:14Z
dc.date.issued2016
dc.description.abstractWe present a local convergence analysis for Euler–Halley-like methods with a parameter in order to approximate a locally unique solution of an equation in a Banach space setting. Using more flexible Lipschitz-type hypotheses than in earlier studies such as Huang and Ma (Numer Algorith 52:419–433, 2009), we obtain a larger radius of convergence as well as more precise error estimates on the distances involved. Numerical examples justify our theoretical results. © 2015, Springer-Verlag Italia.
dc.identifier.citationRendiconti del Circolo Matematico di Palermo, 2016, 65, 1, pp. 87-96
dc.identifier.issn0009725X
dc.identifier.urihttps://doi.org/10.1007/s12215-015-0220-z
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26029
dc.publisherSpringer-Verlag Italia s.r.l. springer@springer.it
dc.subjectBanach space
dc.subjectEuler method
dc.subjectGeneralized Lipschitz/center-Lipschitz condition
dc.subjectHalley method
dc.subjectLocal convergence
dc.titleImproved local convergence for Euler–Halley-like methods with a parameter

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