Geometric constructions of iterative functions to solve nonlinear equations

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. © 2003 Elsevier B.V. All rights reserved.

Detalles Bibliográficos
Autores: Amat, S. [0000-0002-9954-5240], Busquier, S. [0000-0003-0910-2030], Gutiérrez, J.M. [0000-0002-0434-7250]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc698bb750603269e81d26
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d26
Access Level:acceso abierto
Palabra clave:Iterative methods
Newton's method
Nonlinear equations
Descripción
Sumario: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. © 2003 Elsevier B.V. All rights reserved.