Three-step iterative weight function scheme with memory for solving nonlinear problems

[EN] In this manuscript, we present a parametric family of derivative-free three-step iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric family in order to increase the order of convergence without new functional e...

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Detalles Bibliográficos
Autores: Cordero Barbero, Alicia|||0000-0002-7462-9173, Garrido-Saez, Neus|||0000-0002-7903-8591, Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761, Triguero-Navarro, Paula|||0000-0002-7319-9992
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/204662
Acceso en línea:https://riunet.upv.es/handle/10251/204662
Access Level:acceso abierto
Palabra clave:Divided differences
Iterative method
Memory methods
Nonlinear equation
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this manuscript, we present a parametric family of derivative-free three-step iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric family in order to increase the order of convergence without new functional evaluations. We also performed numerical experiments to compare the iterative methods from different points of view.

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