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Title: | Convergence analysis for a fast class of multi-step chebyshev-halley-type methods under weak conditions |
Authors: | Argyros I.K. George S. |
Issue Date: | 2020 |
Citation: | Panamerican Mathematical Journal , Vol. 30 , 3 , p. 35 - 50 |
Abstract: | In 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. |
URI: | https://doi.org/ http://idr.nitk.ac.in/jspui/handle/123456789/15282 |
Appears in Collections: | 1. Journal Articles |
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