Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/15282
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dc.contributor.authorArgyros I.K.
dc.contributor.authorGeorge S.
dc.date.accessioned2021-05-05T10:26:50Z-
dc.date.available2021-05-05T10:26:50Z-
dc.date.issued2020
dc.identifier.citationPanamerican Mathematical Journal , Vol. 30 , 3 , p. 35 - 50en_US
dc.identifier.urihttps://doi.org/
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/15282-
dc.description.abstractIn this study a convergence analysis for a fast multi-step Chebyshe-Halley-type method for solving nonlinear equations involving Banach space valued operator is presented. We introduce a more precise convergence region containing the iterates leading to tighter Lipschitz constants and functions. This way advantages are obtained in both the local as well as the semi-local convergence case under the same computational cost such as: extended convergence domain, tighter error bounds on the distances involved and a more precise in-formation on the location of the solution. The new technique can be used to extend the applicability of other iterative methods. The numerical examples further validate the theoretical results. © 2020, International Publications. All rights reserved.en_US
dc.titleConvergence analysis for a fast class of multi-step chebyshev-halley-type methods under weak conditionsen_US
dc.typeArticleen_US
Appears in Collections:1. Journal Articles

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