Higher-Order Derivative-Free Iterative Methods for Solving Nonlinear Equations and Their Basins of Attraction

Based on the Steffensen-type method, we develop fourth-, eighth-, and sixteenth-order algorithms for solving one-variable equations. The new methods are fourth-, eighth-, and sixteenth-order converging and require at each iteration three, four, and five function evaluations, respectively. Therefore,...

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Principais autores:	Jian Li, Xiaomeng Wang, Kalyanasundaram Madhu
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2019-11-01
coleção:	Mathematics
Assuntos:	kung–traub conjecture multipoint iterations nonlinear equation optimal order basins of attraction
Acesso em linha:	https://www.mdpi.com/2227-7390/7/11/1052
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