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    Listar por tema "dynamical plane"

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      • A biparametric extension of King’s fourth-order methods and their dynamics 

        Geum, Young Hee; Kim, Young Ik; Magreñán, Á. Alberto (1) (Applied Mathematics and Computation, 05/2016)
        A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight ...
      • A study of dynamics via Mobius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions 

        Geum, Young Hee; Kim, Young Ik; Magreñán, Á. Alberto (1) (Journal of Computational and Applied Mathematics, 15/12/2018)
        A generic family of sixth-order modified Newton-like multiple-zero finders have been proposed in Geum et al. (2016). Among them we select a specific family of iterative methods with uniparametric bivariate polynomial weight ...
      • On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratio 

        Lee, Min-Young; Kim, Young Ik; Magreñán, Á. Alberto (1) (Applied Mathematics and Computation, 12/2017)
        Under the assumption of known root multiplicity m is an element of N, a triparametric family of two-point optimal quartic-order methods locating multiple zeros are investigated in this paper by introducing a weight function ...

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