Unified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space

Simple item page
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:30:17Z
dc.date.issued2019
dc.description.abstractWe present a local convergence analysis of a multi-point super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier works was based on hypotheses reaching up to the third derivative of the operator. In the present study we expand the applicability of the Super-Halley-like method by using hypotheses only on the first derivative. We also provide: A computable error on the distances involved and a uniqueness result based on Lipschitz constants. The convergence order is also provided for these methods. Numerical examples are also presented in this study. © 2019, Indian National Science Academy.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2019, 50, 1, pp. 1-13
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-019-0302-2
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24660
dc.publisherIndian National Science Academy
dc.subjectBanach space
dc.subjectHalley-type method
dc.subjectlocal convergence
dc.subjectNewton’s methods
dc.titleUnified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space

Files

Collections

Journal Articles