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Study of the dynamics of third-order iterative methods on quadratic polynomials

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Study of the dynamics of third-order iterative methods on quadratic polynomials

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Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel Cañas, P. (2012). Study of the dynamics of third-order iterative methods on quadratic polynomials. International Journal of Computer Mathematics. 89(13):1826-1836. doi:10.1080/00207160.2012.687446

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/55273

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Title: Study of the dynamics of third-order iterative methods on quadratic polynomials
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...[+]
Subjects: Nonlinear equations , Iterative methods , Complex dynamics , Conjugacy map , Basin of attraction
Copyrigths: Reserva de todos los derechos
Source:
International Journal of Computer Mathematics. (issn: 0020-7160 ) (eissn: 1029-0265 )
DOI: 10.1080/00207160.2012.687446
Publisher:
Taylor & Francis Ltd
Publisher version: http://dx.doi.org/10.1080/00207160.2012.687446
Thanks:
The authors thank Professors X. Jarque and A. Garijo for their help. The authors also thank the referees for their valuable comments and suggestions that have improved the content of this paper. This research was supported ...[+]
Type: Artículo

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