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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Detalles Bibliográficos
Autor principal:	Milaszewicz, J.P.
Formato:	JOUR
Materias:	Convex functions Monotone convergence Nonlinear systems Third order method
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_08939659_v10_n1_p17_Milaszewicz
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spelling	todo:paper_08939659_v10_n1_p17_Milaszewicz2023-10-03T15:41:49Z Comparison theorems for a third order method Milaszewicz, J.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Milaszewicz, J.P. 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.
format	JOUR
author	Milaszewicz, J.P.
author_facet	Milaszewicz, J.P.
author_sort	Milaszewicz, J.P.
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
url	http://hdl.handle.net/20.500.12110/paper_08939659_v10_n1_p17_Milaszewicz
work_keys_str_mv	AT milaszewiczjp comparisontheoremsforathirdordermethod
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Comparison theorems for a third order method

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