On the semilocal convergence analysis of a seventh order four step method for solving nonlinear equations

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dc.contributor.authorRegmi, S.
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorArgyros, C.I.
dc.date.accessioned2026-02-04T12:25:44Z
dc.date.issued2024
dc.description.abstractWe provide a semi-local convergence analysis of a seventh order four step method for solving nonlinear problems. Using majorizing sequences and under conditions on the first derivative, we provide sufficient convergence criteria, error bounds on the distances involved and uniqueness. Earlier convergence results have used the eighth derivative not on this method to show convergence. Hence, limiting its applicability. © 2024 by the authors; licensee PSRP, Lahore, Pakistan.
dc.identifier.citationOpen Journal of Mathematical Sciences, 2024, 8, , pp. 40-46
dc.identifier.issn26164906
dc.identifier.urihttps://doi.org/10.30538/oms2024.0224
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/21535
dc.publisherPtolemy Scientific Research Press
dc.subjectBanach space
dc.subjectconvergence order
dc.subjectIterative method
dc.titleOn the semilocal convergence analysis of a seventh order four step method for solving nonlinear equations

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