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Title: | On a sixth-order Jarratt-type method in Banach spaces |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2015 |
Citation: | Asian-European Journal of Mathematics, 2015, Vol.8, 4, pp.- |
Abstract: | We present a local convergence analysis of a sixth-order Jarratt-type method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fr chet-derivative of the operator involved. Earlier studies such as [X. Wang, J. Kou and C. Gu, Semilocal convergence of a sixth-order Jarratt method in Banach spaces, Numer. Algorithms 57 (2011) 441-456.] require hypotheses up to the third Fr chet-derivative. Numerical examples are also provided in this study. 2015 World Scientific Publishing Company. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/12348 |
Appears in Collections: | 1. Journal Articles |
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