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Listar por palabra clave "Dynamical behavior"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Dynamical behavior"

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    Chaos and convergence of a family generalizing Homeier's method with damping parameters 
    Cordero Barbero, Alicia; Franques, Antonio; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2016)
    [EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials ...
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    Chaos in King's iterative family 
    Cordero Barbero, Alicia; García Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, María Penkova; Vindel Cañas, Pura (Elsevier, 2013-08)
    In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space ...
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    Choosing the most stable members of Kou's family of iterative methods 
    Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)
    [EN] In this manuscript, we analyze the dynamical anomalies of a parametric family of iterative schemes designed by Kou et al. It is known that its order of convergence is three for any arbitrary value of the parameter, ...
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    Damped Traub's method: convergence and stability 
    Cordero Barbero, Alicia; Ferrero-Molina, Alfredo; Torregrosa Sánchez, Juan Ramón (Elsevier, 2016-01)
    [EN] In this paper, a parametric family including Newton's and Traub's iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical ...
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    Dynamics of a family of Chebyshev-Halley type methods 
    Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura (Elsevier, 2013-04-15)
    In this paper, the dynamics of the Chebyshev-Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This set has interesting ...
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    Fixed point root-finding methods of fourth-order of convergence 
    Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-06-06)
    [EN] In this manuscript, by using the weight-function technique, a new class of iterative methods for solving nonlinear problems is constructed, which includes many known schemes that can be obtained by choosing different ...
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    Stability of a fourth-order bi-parametric family of iterative methods 
    Cordero Barbero, Alicia; García-Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P. (Elsevier, 2017)
    [EN] In this paper we present a dynamical study of the Ostrowski-Chun family of iterative methods on quadratic polynomials. We will use dynamical tools such as the analysis of fixed and critical points, and the calculation ...