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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Κύριοι συγγραφείς:	Santhosh George, Ajil Kunnarath, Ramya Sadananda, Jidesh Padikkal, Ioannis K. Argyros
Μορφή:	Artigo
Γλώσσα:	Inglês
Έκδοση:	MDPI AG 2023-02-01
Σειρά:	Fractal and Fractional
Θέματα:	order of convergence Cordero–Torregrosa method iterative method Banach space
Διαθέσιμο Online:	https://www.mdpi.com/2504-3110/7/2/163
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