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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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