Geometric constructions of iterative functions to solve nonlinear equations

Authors:
S. Amat;S. Busquier;J. M. Gutiérrez
Affiliations:
Dep. Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 52, Cartagena (Murcia) 30203, Spain;Dep. Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 52, Cartagena (Murcia) 30203, Spain;Dep. Matemáticas y Computación, Universidad de La Rioja, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

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Abstract

In this paper we present the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation. In addition, we also review the extension to general Banach spaces and some computational aspects of these methods.