A multistep Steffensen-type method for solving nonlinear systems of equations

[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation of the classical high-order iterative schemes. Although the methods are more...

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Bibliographic Details
Authors: Amat, Sergio, Argyros, Ioannis K., Busquier, Sonia, Hernández-Verón, Miguel Angel, Magreñán, A. Alberto, Martínez Molada, Eulalia|||0000-0003-2869-4334
Format: article
Publication Date:2020
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/180503
Online Access:https://riunet.upv.es/handle/10251/180503
Access Level:Open access
Keyword:Frozen divided differences
High-order
Semilocal convergence
Steffensen-type methods
MATEMATICA APLICADA
Description
Summary:[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation of the classical high-order iterative schemes. Although the methods are more demanding, a semilocal convergence analysis is presented using weaker conditions than the classical Steffensen method.

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