Order of Convergence, Extensions of Newton–Simpson Method for Solving Nonlinear Equations and Their Dynamics

Local convergence of order three has been established for the Newton–Simpson method (NS), provided that derivatives up to order four exist. However, these derivatives may not exist and the NS can converge. For this reason, we recover the convergence order based only on the first two derivatives. Mor...

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Principais autores:	Santhosh George, Ajil Kunnarath, Ramya Sadananda, Jidesh Padikkal, Ioannis K. Argyros
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2023-02-01
Colecção:	Fractal and Fractional
Assuntos:	order of convergence Cordero–Torregrosa method iterative method Banach space
Acesso em linha:	https://www.mdpi.com/2504-3110/7/2/163
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