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Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences

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Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences

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Amiri, AR.; Cordero Barbero, A.; Darvishi, MT.; Torregrosa Sánchez, JR. (2019). Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences. Journal of Mathematical Chemistry. 57(5):1344-1373. https://doi.org/10.1007/s10910-018-0971-9

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Metadatos del ítem

Título: Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of mth power divided differences
Autor: Amiri, A. R. Cordero Barbero, Alicia Darvishi, M. T. Torregrosa Sánchez, Juan Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] The dynamical properties of a family of forward, central divided differences and Richardson extrapolation technique are studied. Applying these tools, an iterative method for solving nonlinear systems can be transformed ...[+]
Palabras clave: Nonlinear system of equations , Iterative method , Jacobian-free scheme , Divided difference , Basin of attraction , Order of convergence
Derechos de uso: Cerrado
Fuente:
Journal of Mathematical Chemistry. (issn: 0259-9791 )
DOI: 10.1007/s10910-018-0971-9
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s10910-018-0971-9
Título del congreso: 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018)
Lugar del congreso: Rota, Spain
Fecha congreso: Julio 09-14,2018
Código del Proyecto:
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/
Agradecimientos:
This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C2-2-P and Generalitat Valenciana PROMETEO/2016/089.
Tipo: Artículo Comunicación en congreso

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