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New fourth and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis

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New fourth and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis

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Kansal, M.; Cordero Barbero, A.; Bhalla, S.; Torregrosa Sánchez, JR. (2021). New fourth and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. Numerical Algorithms. 87(3):1017-1060. https://doi.org/10.1007/s11075-020-00997-4

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Título: New fourth and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
Autor: Kansal, Munish Cordero Barbero, Alicia Bhalla, Sonia Torregrosa Sánchez, Juan Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In this paper, a two-step class of fourth-order iterative methods for solving systems of nonlinear equations is presented. We further extend the two-step class to establish a new sixth-order family which requires only ...[+]
Palabras clave: Systems of nonlinear equations , Order of convergence , Multipoint iterative methods , Stability analysis
Derechos de uso: Reserva de todos los derechos
Fuente:
Numerical Algorithms. (issn: 1017-1398 )
DOI: 10.1007/s11075-020-00997-4
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s11075-020-00997-4
Código del Proyecto:
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/GENERALITAT VALENCIANA//PROMETEO%2F2016%2F089//RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES MEDIANTE TECNICAS ITERATIVAS: ANALISIS DINAMICO Y APLICACIONES/
Agradecimientos:
This research was partially supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE), Generalitat Valenciana PROMETEO/2016/089
Tipo: Artículo

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