Publications in collaboration with researchers from Cameron University (24)

2024

  1. Derivative free processes of high order for nondifferentiable equations in Banach spaces

    Mathematical Methods in the Applied Sciences

2021

  1. A unified convergence analysis for single step-type methods for non-smooth operators

    Journal of Computational Analysis and Applications, Vol. 29, Núm. 2, pp. 327-343

2020

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

    Mathematical Methods in the Applied Sciences

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

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

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

    Applied Mathematics and Computation, Vol. 384

  4. Extending the choice of starting points for Newton's method

    Mathematical Methods in the Applied Sciences, Vol. 43, Núm. 14, pp. 8042-8050

  5. On the local and semilocal convergence of a parameterized multi-step Newton method

    Journal of Computational and Applied Mathematics, Vol. 376

2019

  1. A unified convergence analysis for some two-point type methods for Nonsmooth Operators

    Mathematics, Vol. 7, Núm. 8

  2. On the convergence of secant-like methods

    Current Trends in Mathematical Analysis and its Interdisciplinary Applications (Springer International Publishing), pp. 141-183

2018

  1. Extending the domain of starting points for Newton's method under conditions on the second derivative

    Journal of Computational and Applied Mathematics, Vol. 340, pp. 1-10

  2. On the local convergence study for an efficient k-step iterative method

    Journal of Computational and Applied Mathematics

  3. On two high-order families of frozen Newton-type methods

    Numerical Linear Algebra with Applications, Vol. 25, Núm. 1

2017

  1. Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains

    Journal of Mathematical Chemistry, Vol. 55, Núm. 7, pp. 1392-1406

  2. Convergence of Steffensen’s method for non-differentiable operators

    Numerical Algorithms, Vol. 75, Núm. 1, pp. 229-244

  3. Expanding the applicability of some high order Househölder-like methods

    Algorithms, Vol. 10, Núm. 2

2016

  1. Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains

    Proceedings of the 16th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2016, Costa Ballena (Rota), Cádiz, Spain July 4th -8th , 2016

2015

  1. Directional chebyshev-type methods for solving equations

    Mathematics of Computation, Vol. 84, Núm. 292, pp. 815-830

  2. Enlarging The convergence domain of secant-like methods for equations

    Taiwanese Journal of Mathematics, Vol. 19, Núm. 2, pp. 629-652

  3. Expanding the applicability of secant-like methods for solving nonlinear equations

    Carpathian Journal of Mathematics, Vol. 31, Núm. 1, pp. 11-30

2014

  1. Convergence of the relaxed Newton's method

    Journal of the Korean Mathematical Society, Vol. 51, Núm. 1, pp. 137-162