Dynamics of a multipoint variant of Chebyshev–Halley’s family
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Altres documents de l'autoria: Vindel, Pura; Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.
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Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Dynamics of a multipoint variant of Chebyshev–Halley’s familyData de publicació
2016Editor
ElsevierISSN
0096-3003Cita bibliogràfica
CAMPOS, Beatriz, et al. Dynamics of a multipoint variant of Chebyshev–Halley’s family. Applied Mathematics and Computation, 2016, vol. 284, p. 195-208.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0096300316302016Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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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