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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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Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system

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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. doi:10.1016/j.cam.2014.06.010

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Title: Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system
Author: Hueso Pagoaga, José Luís Martínez Molada, Eulalia Teruel, Carles
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[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 ...[+]
Subjects: Nonlinear systems , Efficiency index , Dynamics. , Iterative methods , Convergence order , Computational cost
Copyrigths: Reserva de todos los derechos
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 ) (eissn: 1879-1778 )
DOI: 10.1016/j.cam.2014.06.010
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.cam.2014.06.010
Project ID:
Ministerio de Ciencia e Innovacion MTM2011-28636-C02-02
Vicerrectorado de Investigacion Universitat Politecnica de Valencia PAID-SP-2012-0474
Vicerrectorado de Investigacion Universitat Politecnica de Valencia PAID-SP-2012-0498
Thanks:
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.
Type: Artículo

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