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https://idr.nitk.ac.in/jspui/handle/123456789/11911
Title: | Local convergence of a uniparametric halley-type method in banach space free of second derivative |
Authors: | Argyros, I.K. George, S. Mohapatra, R.N. |
Issue Date: | 2015 |
Citation: | Advances in Nonlinear Variational Inequalities, 2015, Vol.18, 2, pp.48-57 |
Abstract: | We present a local convergence analysis of a uniparametric Halley-type method of high convergence order 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 use hypotheses up to the third Fr chet-derivative [26]. Numerical examples are also provided in this study. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11911 |
Appears in Collections: | 1. Journal Articles |
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