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Browsing by Author "Vindel, Pura"

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Browsing by Author "Vindel, Pura"

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    A multidimensional dynamical approach to iterative methods with memory 
    Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (Elsevier, 2015-11-15)
    [EN] A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear equations is made. We have designed new methods with memory from Steffensen’ or Traub’s schemes, as well as from a parametric ...
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    Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods 
    Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (Vilnius Gediminas Technical University, 2019)
    [EN] In this paper, we study the dynamics of an iterative method based on the Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. As it was proven in "A new family of iterative methods widening ...
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    Dynamics of a multipoint variant of Chebyshev-Halley's family 
    Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (Elsevier, 2016-07-05)
    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 ...