Publications by the researcher in collaboration with Sergio Amat Plata (21)

2021

  1. On high-order iterative schemes for the matrix pth root avoiding the use of inverses

    Mathematics, Vol. 9, Núm. 2, pp. 1-8

  2. On new means with interesting practical applications: Generalized power means

    Mathematics, Vol. 9, Núm. 9

  3. On the application of the generalized means to construct multiresolution schemes satisfying certain inequalities proving stability

    Mathematics, Vol. 9, Núm. 5, pp. 1-15

2020

  1. A chebyshev - Like method for approximating matrix square root

    AIP Conference Proceedings

  2. A multistep Steffensen-type method for solving nonlinear systems of equations

    Mathematical Methods in the Applied Sciences

  3. Comparing of the behaviour of iterative methods based on different means

    AIP Conference Proceedings

  4. On the application of Lehmer means in signal and image processing

    International Journal of Computer Mathematics, Vol. 97, Núm. 7, pp. 1503-1528

  5. On the use of generalized harmonic means in image processing using multiresolution algorithms

    International Journal of Computer Mathematics, Vol. 97, Núm. 1-2, pp. 455-466

  6. Purely iterative algorithms for Newton's maps and general convergence

    Mathematics, Vol. 8, Núm. 7

2019

  1. An efficient optimal family of sixteenth order methods for nonlinear models

    Journal of Computational and Applied Mathematics, Vol. 354, pp. 271-285

2018

  1. On a Newton-type family of high-order iterative methods for some matrix functions

    AIP Conference Proceedings

2017

  1. Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions

    Numerical Algorithms, Vol. 74, Núm. 2, pp. 371-391

2016

  1. An Overview on Steffensen-Type Methods

    Advances in Iterative Methods for Nonlinear Equations (Springer USA), pp. 5-22

  2. An overview on Steffensen-type methods

    SEMA SIMAI Springer Series (Springer International Publishing), pp. 5-21

  3. On the election of the damped parameter of a two-step relaxed Newton-type method

    Nonlinear Dynamics, Vol. 84, Núm. 1, pp. 9-18

2015

  1. Expanding the applicability of a third order Newton-type method free of bilinear operators

    Algorithms, Vol. 8, Núm. 3, pp. 669-679

  2. Improving the dynamics of steffensen-type methods

    Applied Mathematics and Information Sciences, Vol. 9, Núm. 5, pp. 2403-2408

2014

  1. Local convergence of the Gauss-Newton method for injective-overdetermined systems

    Journal of the Korean Mathematical Society, Vol. 51, Núm. 5, pp. 955-970

  2. On a generalization of the Steffensen method on banach spaces

    Civil-Comp Proceedings, Vol. 105

2013

  1. On a two-step relaxed Newton-type method

    Applied Mathematics and Computation, Vol. 219, Núm. 24, pp. 11341-11347