Publications in collaboration with researchers from Universidad de Santiago de Chile (18)

2024

  1. ANALYSIS SEQUENTIAL FRACTIONAL DIFFERENCES AND RELATED MONOTONICITY RESULTS

    Fractals, Vol. 32, Núm. 7-8

2014

  1. Traub-type high order iterative procedures on Riemannian manifolds

    SeMA Journal, Vol. 63, Núm. 1, pp. 27-52

2013

  1. On a bilinear operator free third order method on Riemannian manifolds

    Applied Mathematics and Computation, Vol. 219, Núm. 14, pp. 7429-7444

2012

  1. On a family of high-order iterative methods under Kantorovich conditions and some applications

    Abstract and Applied Analysis, Vol. 2012

  2. On two families of high order Newton type methods

    Applied Mathematics Letters, Vol. 25, Núm. 12, pp. 2209-2217

2011

  1. Superattracting cycles for some Newton type iterative methods

    Science China Mathematics, Vol. 54, Núm. 3, pp. 539-544

2010

  1. Chaotic dynamics of a third-order Newton-type method

    Journal of Mathematical Analysis and Applications, Vol. 366, Núm. 1, pp. 24-32

  2. On a third-order newton-type method free of bilinear operators

    Numerical Linear Algebra with Applications, Vol. 17, Núm. 4, pp. 639-653

2009

  1. On the dynamics of some Newton's type iterative functions

    International Journal of Computer Mathematics, Vol. 86, Núm. 4, pp. 631-639

2008

  1. On the dynamics of the Euler iterative function

    Applied Mathematics and Computation, Vol. 197, Núm. 2, pp. 725-732

2007

  1. Convergencia y análisis numérico de un método de tercer orden parasistemas de ecuaciones no lineales

    XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas

  2. On the dynamics of a family of third-order iterative functions

    ANZIAM Journal, Vol. 48, Núm. 3, pp. 343-359

  3. Super-attracting periodic orbits for a classical third order method

    Journal of Computational and Applied Mathematics, Vol. 206, Núm. 1, pp. 599-602

  4. Un esquema de cuarto orden con casi-óptimo gasto computacional para ecuaciones no lineales

    XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas

2006

  1. A construction of attracting periodic orbits for some classical third-order iterative methods

    Journal of Computational and Applied Mathematics

2005

  1. Constructing attracting periodic orbits of three third-order iterative methods

    Applied Mathematics and Computation, Vol. 161, Núm. 2, pp. 679-690

  2. Dynamics of the King and Jarratt iterations

    Aequationes Mathematicae, Vol. 69, Núm. 3, pp. 212-223

2004

  1. Dynamics of a family of third-order iterative methods that do not require using second derivatives

    Applied Mathematics and Computation, Vol. 154, Núm. 3, pp. 735-746