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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior

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Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior

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Cordero Barbero, A.; Fardi, M.; Ghasemi, M.; Torregrosa Sánchez, JR. (2014). Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior. Calcolo. 51(1):17-30. doi:10.1007/s10092-012-0073-1

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/55523

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Title: Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior
Author: Cordero Barbero, Alicia Fardi, M. Ghasemi, M. Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Issued date:
Abstract:
In this paper, we present a family of optimal, in the sense of Kung-Traub's conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun's fourth-order method. ...[+]
Subjects: Convergence order , Efficiency index , Basin of attraction , Periodic orbit , Dynamical plane , Nonlinear equations , Iterative methods
Copyrigths: Reserva de todos los derechos
Source:
Calcolo. (issn: 0008-0624 )
DOI: 10.1007/s10092-012-0073-1
Publisher:
Springer Verlag (Germany)
Publisher version: http://dx.doi.org/10.1007/s10092-012-0073-1
Project ID:
Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02
Center of Excellence for Mathematics, University of Shahrekord, Iran
Thanks:
This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and by the Center of Excellence for Mathematics, University of Shahrekord, Iran.
Type: Artículo

References

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