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https://idr.nitk.ac.in/jspui/handle/123456789/11917
Title: | Local convergence of deformed Halley method in Banach space under Holder continuity conditions |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2015 |
Citation: | Journal of Nonlinear Science and Applications, 2015, Vol.8, 3, pp.246-254 |
Abstract: | We present a local convergence analysis for deformed Halley method in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Halley and other high order methods under hypotheses up to the first Fr chet-derivative in contrast to earlier studies using hypotheses up to the second or third Fr chet-derivative. The convergence ball and error estimates are given for these methods. Numerical examples are also provided in this study. 2015, International Scientific Research Publications. All rights reserved. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11917 |
Appears in Collections: | 1. Journal Articles |
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