Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/12374
Title: On the convergence of Newton-like methods using restricted domains
Authors: Argyros, I.K.
George, S.
Issue Date: 2017
Citation: Numerical Algorithms, 2017, Vol.75, 3, pp.553-567
Abstract: We present a new semi-local convergence analysis for Newton-like methods in order to approximate a locally unique solution of a nonlinear equation containing a non-differentiable term in a Banach space setting. The new idea uses more precise convergence domains. This way the new sufficient convergence conditions are weaker, and the error bounds are tighter than in earlier studies. Applications and numerical examples, involving a nonlinear integral equation of Chandrasekhar-type, are also provided in this study. 2016, Springer Science+Business Media New York.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/12374
Appears in Collections:1. Journal Articles

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