Dynamics of a multipoint variant of Chebyshev–Halley’s family
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Other documents of the author: Vindel, Pura; Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Dynamics of a multipoint variant of Chebyshev–Halley’s familyDate
2016Publisher
ElsevierISSN
0096-3003Bibliographic citation
CAMPOS, Beatriz, et al. Dynamics of a multipoint variant of Chebyshev–Halley’s family. Applied Mathematics and Computation, 2016, vol. 284, p. 195-208.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0096300316302016Version
info:eu-repo/semantics/publishedVersionAbstract
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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