Please use this identifier to cite or link to this item: https://idr.l2.nitk.ac.in/jspui/handle/123456789/11552
Title: Improved convergence analysis for the Kurchatov method
Authors: Argyros, I.K.
George, S.
Issue Date: 2017
Citation: Nonlinear Functional Analysis and Applications, 2017, Vol.22, 1, pp.41-58
Abstract: We present a new convergence analysis for the Kurchatov method using our new idea of restricted convergence domains in order to solve nonlinear equations in a Banach space setting. The suffcient convergence conditions are weaker than in earlier studies. Hence, we extend the applicability of this method. Moreover, our radius of convergence is larger leading to a wider choice of initial guesses and fewer iterations to achieve a desired error tolerance. Numerical examples are also provided showing the advantages of our approach over earlier work. 2017 Kyungnam University Press.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/11552
Appears in Collections:1. Journal Articles

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