Comparison theorems for a third order method

It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible.

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Publicado: 1997
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v10_n1_p17_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
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id paper:paper_08939659_v10_n1_p17_Milaszewicz
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spelling paper:paper_08939659_v10_n1_p17_Milaszewicz2023-06-08T15:47:35Z Comparison theorems for a third order method Convex functions Monotone convergence Nonlinear systems Third order method It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v10_n1_p17_Milaszewicz http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Convex functions
Monotone convergence
Nonlinear systems
Third order method
spellingShingle Convex functions
Monotone convergence
Nonlinear systems
Third order method
Comparison theorems for a third order method
topic_facet Convex functions
Monotone convergence
Nonlinear systems
Third order method
description It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible.
title Comparison theorems for a third order method
title_short Comparison theorems for a third order method
title_full Comparison theorems for a third order method
title_fullStr Comparison theorems for a third order method
title_full_unstemmed Comparison theorems for a third order method
title_sort comparison theorems for a third order method
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v10_n1_p17_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
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