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Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems

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Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems

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Cordero Barbero, A.; Jordan-Lluch, C.; Sanabria-Codesal, E.; Torregrosa Sánchez, JR. (2021). Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems. Fractal and Fractional. 5(3):1-16. https://doi.org/10.3390/fractalfract5030125

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/181023

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Title: Design, Convergence and Stability of a Fourth-Order Class of Iterative Methods for Solving Nonlinear Vectorial Problems
Author: Cordero Barbero, Alicia Jordan-Lluch, Cristina Sanabria-Codesal, Esther Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] A new parametric family of iterative schemes for solving nonlinear systems is presented. Fourth-order convergence is demonstrated and its stability is analyzed as a function of the parameter values. This study allows ...[+]
Subjects: Nonlinear systems , Iterative methods , Convergence , Stability , Discrete dynamics
Copyrigths: Reconocimiento (by)
Source:
Fractal and Fractional. (eissn: 2504-3110 )
DOI: 10.3390/fractalfract5030125
Publisher:
MDPI AG
Publisher version: https://doi.org/10.3390/fractalfract5030125
Project ID:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094889-B-I00/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107790RB-C22/ES/DESARROLLO DEL SOFTWARE PARA UN SISTEMA PET DE CRISTAL CONTINUO APLICADO AL CANCER DE MAMA/
Thanks:
This research was supported by PGC2018-095896-B-C22, PID2019-107790RB-C22 and PGC2018-094889-B-I00 (MCIU/AEI/FEDER, UE).
Type: Artículo

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