Hueso Pagoaga, JL.; Martínez Molada, E.; Teruel, C. (2015). Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system. Journal of Computational and Applied Mathematics. 275:420-412. https://doi.org/10.1016/j.cam.2014.06.010
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65997
Title:
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Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system
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Author:
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Hueso Pagoaga, José Luís
Martínez Molada, Eulalia
Teruel, Carles
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] In this work we present a new family of iterative methods for solving nonlinear systems
that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case.
We generalize this family by performing ...[+]
[EN] In this work we present a new family of iterative methods for solving nonlinear systems
that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case.
We generalize this family by performing a new step in the iterative method, getting a new
family with order of convergence six. We study the efficiency of these families for the
multidimensional case by introducing a new term in the computational cost defined by
Grau-Sánchez et al. A comparison with already known methods is done by studying the
dynamics of these methods in an example system.
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Subjects:
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Nonlinear systems
,
Efficiency index
,
Dynamics.
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Iterative methods
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Convergence order
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Computational cost
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
) (eissn:
1879-1778
)
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DOI:
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10.1016/j.cam.2014.06.010
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.cam.2014.06.010
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/
info:eu-repo/grantAgreement/UPV//SP20120474/
info:eu-repo/grantAgreement/UPV//SP2012049/
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Thanks:
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This research has been supported by Ministerio de Ciencia e Innovacion MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion Universitat Politecnica de Valencia PAID-SP-2012-0498 and PAID-SP-2012-0474.
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Type:
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Artículo
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