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Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

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Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

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Amiri, A.; Cordero Barbero, A.; Darvishi, M.; Torregrosa Sánchez, JR. (2018). Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems. Journal of Computational and Applied Mathematics. 337:87-97. https://doi.org/10.1016/j.cam.2018.01.004

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/143615

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Title: Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems
Author: Amiri, Abdolreza Cordero Barbero, Alicia Darvishi, M.T. Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this paper, a new technique to construct a family of divided differences for designing derivative-free iterative methods for solving nonlinear systems is proposed. By using these divided differences any kind of ...[+]
Subjects: Nonlinear system of equations , Iterative method , Jacobian-free scheme , Divided difference , Order of convergence
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 )
DOI: 10.1016/j.cam.2018.01.004
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.cam.2018.01.004
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2015-64013-P/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/
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%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
Thanks:
This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P, MTM2015-64013-P and Generalitat Valenciana PROMETEO/2016/089.
Type: Artículo

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