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A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

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A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

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Cordero Barbero, A.; Kansal, M.; Kanwar, V.; Torregrosa Sánchez, JR. (2016). A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Numerical Algorithms. 72(4):937-958. https://doi.org/10.1007/s11075-015-0075-6

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Título: A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence
Autor: Cordero Barbero, Alicia Kansal, Munish Kanwar, Vinay 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, we present a uniparametric family of modified Chebyshev-Halley type methods with optimal eighth-order of convergence. In terms of computational cost, each member of the family requires only four functional ...[+]
Palabras clave: Nonlinear equations , Optimal iterative schemes , Newton method , Chebyshev-Halley scheme , Efficiency index , Complex dynamics , Stability functions , Dynamical planes
Derechos de uso: Cerrado
Fuente:
Numerical Algorithms. (issn: 1017-1398 )
DOI: 10.1007/s11075-015-0075-6
Editorial:
Springer-Verlag
Versión del editor: http://doi.org/10.1007/s11075-015-0075-6
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./
Agradecimientos:
This research was partially supported by Ministerio de Economía y Competitividad MTM2014-52016-C2-2-P.
Tipo: Artículo

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