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A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations

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A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations

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Behl, R.; Cordero Barbero, A.; Motsa, SS.; Torregrosa Sánchez, JR. (2017). A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations. Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 60 (108)(2):127-140. http://hdl.handle.net/10251/101069

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Title: A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations
Author: Behl, Ramandeep Cordero Barbero, Alicia Motsa, Sandile S. Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this manuscript, we propose a new highly efficient and optimal scheme of order sixteen for obtaining simple roots of nonlinear equations. The derivation of this scheme is based on the rational approximation approach. ...[+]
Subjects: Nonlinear equations , Iterative methods , Order of convergence , Basin of attraction
Copyrigths: Cerrado
Source:
Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. (issn: 1220-3874 )
Publisher version: http://rms.unibuc.ro/bulletin/
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F088/ES/MODELOS COMPUTACIONALES PERSONALIZADOS MULTI-ESCALA PARA LA OPTIMIZACION DEL DIAGNOSTICO Y TRATAMIENTO DE ARRITMIAS CARDIACAS (PERSONALISED DIGITAL HEART)/
Thanks:
This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P and Generalitat Valenciana PROMETEO/2016/089. The authors thank the anonymous reviewer for the constructive criticism.
Type: Artículo

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