Please use this identifier to cite or link to this item: https://idr.l4.nitk.ac.in/jspui/handle/123456789/15456
Title: Extending the applicability of Newton’s and secant methods under regular smoothness
Authors: Argyros I.K.
George S.
Erappa S.M.
Issue Date: 2020
Citation: Boletim da Sociedade Paranaense de Matematica Vol. 39 , 6 , p. 195 - 210
Abstract: The concept of regular smoothness has been shown to be an appropriate and powerfull tool for the convergence of iterative procedures converging to a locally unique solution of an operator equation in a Banach space setting. Motivated by earlier works, and optimization considerations, we present a tighter semi-local convergence analysis using our new idea of restricted convergence domains. Numerical examples complete this study. © 2020 Boletim da Sociedade Paranaense de Matematica. All rights reserved.
URI: https://doi.org/10.5269/BSPM.42132
http://idr.nitk.ac.in/jspui/handle/123456789/15456
Appears in Collections:1. Journal Articles

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