ListarDepartament: Matemàtiques por tema "Nonlinear equations"
Mostrando ítems 1-6 de 6
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A multidimensional dynamical approach to iterative methods with memory
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 ... -
Chaos in King's iterative family
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 ... -
Dynamics of a family of Chebyshev-Halley
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 ... -
Stability of King’s family of iterative methods with memory
Elsevier (2017-07)In the literature exist many iterative methods with memory for solving nonlinear equations, the most of them designed in the last years. As they use the information of (at least) the two previous iterates to generate the ... -
Study of a Biparametric Family of Iterative Methods
Hindawi Publishing Corporation (2014-12-24)Thedynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the 𝑐������-iterative methods and the well-known Chebyshev-Halley family.We find ... -
Study of the dynamics of third-order iterative methods on quadratic polynomials
Taylor & Francis (2012)In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...