Listar por autoría "f957a018-d745-4bf6-8fc4-c096cee9a69f"

Mostrando ítems 1-20 de 28

    • A multidimensional dynamical approach to iterative methods with memory 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Elsevier (2015-11-15)
      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 ...

    • openAccess   Behaviour of fixed and critical points of the (α, c) −family of iterative methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Springer Verlag (2015-01)
      In this paper we study the dynamical behavior of the (α, c ) -family of itera- tive methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. ...

    • openAccess   Bifurcations in the two imaginary centers problem 

      Chiralt, Cristina; Campos, Beatriz; Vindel, Pura Institute of Mathematics of the Academy of Sciences of the Czech Republic (2011)
      In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology ...

    • openAccess   Bott Integrable Hamiltonian Systems on S2 x S1 

      Vindel, Pura; Cordero Barbero, Alicia; Martínez Alfaro, José American Institute of Mathematical Sciences (2008)
      In this paper, we study the topology of Bott integrable Hamiltonian flows on S2 × S1 in terms of some types of periodic orbits, called NMS periodic orbits. The set of these periodic orbits can be identified by means ...

    • openAccess   Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials 

      Vindel, Pura; Torregrosa, Juan R.; Cordero Barbero, Alicia Hindawi (2013)
      The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness worthy of study. This analysis has been initiated by the authors in previous works. Every value ...

    • openAccess   Chaos  in  King's  iterative  family   

      Cordero Barbero, Alicia; García Maimó, Javier; Torregrosa, Juan R.; Vassileva, Maria P.; Vindel, 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 ...

    • openAccess   Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2020-03)
      We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction ...

    • openAccess   Convergence regions for the Chebyshev–Halley family 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2018-03)
      In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ...

    • openAccess   Dynamical analysis of an iterative method with memory on a family of third-degree polynomials 

      Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura AIMS Press (2022)
      Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we accomplish ...

    • openAccess   Dynamical Analysis to Explain the NumericalAnomalies in the Family of Ermakov-KalitkinType Methods 

      Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura Vilnius Gediminas Technical University (VGTU) Press (2019)
      In this paper, we study the dynamics of an iterative method based onthe Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. Asit was proven in ”A new family of iterative methods widening areas of ...

    • openAccess   Dynamics of a family of Chebyshev-Halley 

      Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, 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 ...

    • openAccess   Dynamics of a Family of Rational Operators of Arbitrary Degree 

      Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura Vilnius Gediminas Technical University (2021-05-26)
      . In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent ...

    • openAccess   Dynamics of a multipoint variant of Chebyshev–Halley’s family 

      Vindel, Pura; Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R. Elsevier (2016)
      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 ...

    • openAccess   Dynamics of Newton method for symmetric quartic polynomial 

      Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura Sociedad Española de Matemática Aplicada (SEMA) (2017-06-26)
      We consider the Newton method on symmetric quartic polynomials. The parameter space is divided into different regions with different dynamical behaviours. In this paper, we study the dynamics for values of the parameter ...

    • openAccess   Dynamics of Newton-like root finding methods 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Springer (2022)
      When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been ...

    • openAccess   Dynamics of subfamilies of Ostrowski–Chun methods 

      Campos, Beatriz; Vindel, Pura Elsevier (2020-09-25)
      In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number ...

    • openAccess   Dynamics of the family of c-iterative methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Taylor & Francis (2014-02-21)
      In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The ...

    • openAccess   Fat handles and phase portraits of Non Singular Morse-Smale ows on S3 with unknotted saddle orbits. 

      Campos, Beatriz; Vindel, Pura Advanced Nonlinear Studies Inc. (2014-08)
      In this paper we build Non-singular Morse-Smale ows on S3 with unknotted and unlinked saddle orbits by identifying fat round handles along their boundaries. This way of building the ows enables to get their phase ...

    • openAccess   Fundamentos matemáticos de la Ingeniería 

      Vindel, Pura Universitat Jaume I (2010)

    • openAccess   Newton method for symmetric quartic polynomial 

      Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura Elsevier (2016-11)
      We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ...