Publications

Topic Applied Mathematics

18 results of 489 publications

2022

  1. Aportaciones al desarrollo del currículo desde la investigación en educación matemática

    Editorial Universidad de Granada

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. Iterative Methods and Their Dynamics with Applications

    CRC Press

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

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

2015

  1. An extension of a theorem by Wang for Smale's α-theory and applications

    Numerical Algorithms, Vol. 68, Núm. 1, pp. 47-60

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

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

  3. Influence of center conditions on the domain of starting points of Newton's method

    15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, Costa Ballena, Rota, Cádiz (Spain) July 6rd -10th , 2015

2014

  1. Convergence of the relaxed Newton's method

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

  2. Majorizing sequences for Newton's method under centred conditions for the derivative

    International Journal of Computer Mathematics, Vol. 91, Núm. 12, pp. 2568-2583

  3. Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

    Mathematics and Computers in Simulation, Vol. 105, pp. 49-61

  4. Resolución de ecuaciones no lineales mediante procesos iterativos

    Zubía, Núm. 26, pp. 165-200

  5. Two-step Newton methods

    Journal of Complexity, Vol. 30, Núm. 4, pp. 533-553

2013

  1. General convergence conditions of Newton's method for m-Fréchet differentiable operators

    Journal of Applied Mathematics and Computing, Vol. 43, Núm. 1-2, pp. 491-506

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

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

  3. Unified majorizing sequences for Traub-type multipoint iterative procedures

    Numerical Algorithms, Vol. 64, Núm. 3, pp. 549-565

2011

  1. The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane

    Applied Mathematics and Computation, Vol. 218, Núm. 6, pp. 2467-2479

2007

  1. Ternary derivations of finite-dimensional real division algebras

    Linear Algebra and Its Applications, Vol. 428, Núm. 8, pp. 2192-2219