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Increasing the convergence order of an iterative method for nonlinear systems

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Increasing the convergence order of an iterative method for nonlinear systems

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Cordero Barbero, A.; Hueso Pagoaga, JL.; Martínez Molada, E.; Torregrosa Sánchez, JR. (2012). Increasing the convergence order of an iterative method for nonlinear systems. Applied Mathematics Letters. 25(12):2369-2374. doi:10.1016/j.aml.2012.07.005

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/54861

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Title: Increasing the convergence order of an iterative method for nonlinear systems
Author: Cordero Barbero, Alicia Hueso Pagoaga, José Luís Martínez Molada, Eulalia Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this work we introduce a technique for solving nonlinear systems that improves the order of convergence of any given iterative method which uses the Newton iteration as a predictor. The main idea is to compose a given ...[+]
Subjects: Convergence order , Efficiency index , Iterative function , Nonlinear equation , Computational effort , Iterative functions , Newton iterations , Numerical tests , Order of convergence , Theoretical result , Computational efficiency
Copyrigths: Cerrado
Source:
Applied Mathematics Letters. (issn: 0893-9659 ) (eissn: 1873-5452 )
DOI: 10.1016/j.aml.2012.07.005
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.aml.2012.07.005
Project ID:
Ministerio de Ciencia e Innovación MTM2011-28636-C02-02
Vicerrectorado de Investigación, Universitat Politècnica de València PAID-06-2010-2285
Thanks:
This research was supported by Ministerio de Ciencia e Innovacion MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de ValenciaPAID-06-2010-2285.
Type: Artículo

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