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Complex dynamics of derivative-free methods for nonlinear equations

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Complex dynamics of derivative-free methods for nonlinear equations

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Chicharro López, FI.; Cordero Barbero, A.; Gutiérrez, JM.; Torregrosa Sánchez, JR. (2013). Complex dynamics of derivative-free methods for nonlinear equations. Applied Mathematics and Computation. 219(12):7023-7035. doi:10.1016/j.amc.2012.12.075

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/54854

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Title: Complex dynamics of derivative-free methods for nonlinear equations
Author:
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Telecomunicación y Aplicaciones Multimedia - Institut Universitari de Telecomunicacions i Aplicacions Multimèdia
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Abstract:
The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...[+]
Subjects: Nonlinear equation , Iterative method , Derivative-free method , Complex dynamics , Parameters plane , Fixed point , Critical point , Immersed basin of attraction
Copyrigths: Cerrado
Source:
Applied Mathematics and Computation. (issn: 0096-3003 ) (eissn: 1873-5649 )
DOI: 10.1016/j.amc.2012.12.075
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.amc.2012.12.075
Thanks:
This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-06-2010-2285.
Type: Artículo

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