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|Title:||Extending the applicability of Newton’s and secant methods under regular smoothness|
|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.|
|Appears in Collections:||1. Journal Articles|
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