An optimization of Chebyshev's method

From Chebyshev's method, new third-order multipoint iterations are constructed with their efficiency close to that of Newton's method and the same region of accessibility. © 2009 Elsevier Inc. All rights reserved.

Detalles Bibliográficos
Autores: Ezquerro, J.A. [0000-0001-8120-167X], Hernández, M.A. [0000-0001-5478-2958]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
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/5bbc6994b750603269e81dc5
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6994b750603269e81dc5
Access Level:acceso abierto
Palabra clave:Attraction basin
Chebyshev's method
Multipoint iteration
Newton's method
Nonlinear equations in Banach spaces
R-order of convergence
Region of accessibility
Semilocal convergence
Descripción
Sumario:From Chebyshev's method, new third-order multipoint iterations are constructed with their efficiency close to that of Newton's method and the same region of accessibility. © 2009 Elsevier Inc. All rights reserved.