Dynamics of a multipoint variant of Chebyshev–Halley’s family
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Otros documentos de la autoría: Vindel, Pura; Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Dynamics of a multipoint variant of Chebyshev–Halley’s familyFecha de publicación
2016Editor
ElsevierISSN
0096-3003Cita bibliográfica
CAMPOS, Beatriz, et al. Dynamics of a multipoint variant of Chebyshev–Halley’s family. Applied Mathematics and Computation, 2016, vol. 284, p. 195-208.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0096300316302016Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper, a complex dynamical study of a parametric Chebyshev–Halley type family of iterative methods on quadratic polynomial is presented. The stability of the fixed points is analyzed in terms of the parameter ... [+]
In this paper, a complex dynamical study of a parametric Chebyshev–Halley type family of iterative methods on quadratic polynomial is presented. The stability of the fixed points is analyzed in terms of the parameter of the family. We also calculate the critical points building their corresponding parameter planes which allow us to analyze the qualitative behavior of this family. Moreover, we locate some dynamical planes showing different pathological aspects of this family. [-]
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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