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https://idr.nitk.ac.in/jspui/handle/123456789/12370
Title: | On the "terra incognita" for the newton-kantrovich method with applications |
Authors: | Argyros, I.K. Cho, Y.J. George, S. |
Issue Date: | 2014 |
Citation: | Journal of the Korean Mathematical Society, 2014, Vol.51, 2, pp.251-266 |
Abstract: | In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr chet-derivative of the operator involved is p-H lder continuous (p ?(0, 1]). Numerical examples involving two boundary value problems are also provided. 2014 Korean Mathematical Society. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/12370 |
Appears in Collections: | 1. Journal Articles |
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