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dc.contributor.authorArgyros I.K.
dc.contributor.authorGeorge S.
dc.date.accessioned2021-05-05T10:30:01Z-
dc.date.available2021-05-05T10:30:01Z-
dc.date.issued2021
dc.identifier.citationKragujevac Journal of Mathematics Vol. 45 , 1 , p. 155 - 164en_US
dc.identifier.urihttps://doi.org/10.46793/KgJMat2101.155A
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/16245-
dc.description.abstractWe present a local as well as a semi-local convergence analysis of a two-step secant-type method for solving nonlinear equations involving Banach space valued operators. By using weakened Lipschitz and center Lipschitz conditions in combination with a more precise domain containing the iterates, we obtain tighter Lipschitz constants than in earlier studies. This technique lead to an extended convergence domain, more precise information on the location of the solution and tighter error bounds on the distances involved. These advantages are obtained under the same computational effort, since the new constants are special cases of the old ones used in earlier studies. The new technique can be used on other iterative methods. The numerical examples further illustrate the theoretical results. © 2021, Kragujevac Journal of Mathematics. All Rights Reserved.en_US
dc.titleExtended Convergence Of A Two-Step-Secant-Type Method Under A Restricted Convergence Domainen_US
dc.typeArticleen_US
Appears in Collections:1. Journal Articles

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