Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes

[EN] In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. Several numerical experiments are made in order to compare the behaviour of the pr...

Descripción completa

Detalles Bibliográficos
Autores: Cordero Barbero, Alicia|||0000-0002-7462-9173, Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761, Triguero-Navarro, Paula|||0000-0002-7319-9992, Rojas-Hiciano, Renso V.
Tipo de recurso: artículo
Fecha de publicación:2024
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:10251/204032
Acceso en línea:https://riunet.upv.es/handle/10251/204032
Access Level:acceso abierto
Palabra clave:Iterative scheme
Non-linear systems
Jacobian-free
Efficiency index
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. Several numerical experiments are made in order to compare the behaviour of the proposed family with other competitive methods of the literature.