Publicaciones (106) Publicaciones de José Manuel Gutiérrez Jiménez

2022

  1. Ecuaciones en recurrencia

    Desarrollo de destrezas en resolución de problemas de olimpiadas matemáticas (Universidad de La Rioja), pp. 25-39

  2. Third Order Root-Finding Methods based on a Generalization of Gander’s Result

    Malaysian Journal of Mathematical Sciences, Vol. 16, Núm. 4, pp. 659-671

2021

  1. A characterization of the dynamics of schröder’s method for polynomials with two roots

    Fractal and Fractional, Vol. 5, Núm. 1

  2. A graphic method for detecting multiple roots based on self-maps of the hopf fibration and nullity tolerances

    Mathematics, Vol. 9, Núm. 16

  3. A picard-type iterative scheme for Fredholm integral equations of the second kind

    Mathematics, Vol. 9, Núm. 1, pp. 1-15

  4. An ulm-type inverse-free iterative scheme for fredholm integral equations of second kind

    Symmetry, Vol. 13, Núm. 10

  5. Notas de Ecuaciones en Derivadas Parciales

    Universidad de La Rioja

2020

  1. Efficient Optimal Families of Higher-Order Iterative Methods with Local Convergence

    Applicable Analysis and Discrete Mathematics, Vol. 14, Núm. 3, pp. 729-753

  2. Extending the applicability of Newton's method for a class of boundary value problems using the shooting method

    Applied Mathematics and Computation, Vol. 384

  3. Improved iterative solution of linear fredholm integral equations of second kind via inverse-free iterative schemes

    Mathematics, Vol. 8, Núm. 10, pp. 1-13

  4. Superattracting Extraneous Fixed Points and n-cycles for Chebyshev’s Method on Cubic Polynomials

    Qualitative theory of dynamical systems, Vol. 19, Núm. 2

2019

  1. On the convergence of newton-moser method from data at one point

    Understanding Banach Spaces (Nova Science Publishers, Inc.), pp. 189-198

2018

  1. An acceleration of the continuous Newton's method

    Journal of Computational and Applied Mathematics

2017

  1. A first overview on the real dynamics of Chebyshev's method

    Journal of Computational and Applied Mathematics, Vol. 313, Núm. 1, pp. 422-432

  2. A multidimensional generalization of some classes of iterative methods

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, Vol. 74, Núm. 1, pp. 57-73

2016

  1. Complexity of an homotopy method at the neighbourhood of a zero

    Advances in Iterative Methods for Nonlinear Equations (Springer), pp. 147-171

  2. Measures of the basins of attracting n-cycles for the relaxed Newton’s method

    Advances in Iterative Methods for Nonlinear Equations (Springer), pp. 211-245

  3. Miniatura. El problema de Cayley y el método de Chebyshev

    Gaceta de la Real Sociedad Matematica Española, Vol. 19, Núm. 3, pp. 542

  4. Stability analysis of a parametric family of iterative methods for solving nonlinear models

    Applied Mathematics and Computation, Vol. 285, pp. 26-40

2015

  1. A complex dynamical approach of Chebyshev’s method

    SeMA Journal, Vol. 71, Núm. 1, pp. 57-68