Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

Funded by Ministerio de Economía y Competitividad
Duration: from 01 January 2015 to 31 December 2018

Researchers

Publications related to the project

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2016

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

    Advances in Iterative Methods for Nonlinear Equations

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

    Advances in Iterative Methods for Nonlinear Equations

  3. Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method

    Advances in Iterative Methods for Nonlinear Equations

  4. The theory of Kantorovich for Newton’s method: Conditions on the second derivative

    Advances in Iterative Methods for Nonlinear Equations

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

    Gaceta de la Real Sociedad Matematica Española

  6. Quadrature Rules for L1-Weighted Norms of Orthogonal Polynomials

    Mediterranean Journal of Mathematics

  7. On an efficient k-step iterative method for nonlinear equations

    Journal of Computational and Applied Mathematics

  8. On a Moser–Steffensen Type Method for Nonlinear Systems of Equations

    Mediterranean Journal of Mathematics

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

    Applied Mathematics and Computation

  10. Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative

    Journal of Complexity

  11. A modification of the Lipschitz condition in the Newton-Kantorovich theorem

    Zeitschrift für Analysis und ihre Anwendungen

  12. On the ball of convergence of secant-like methods for non-differentiable operators

    Applied Mathematics and Computation

  13. On a Newton-kurchatov-type iterative process

    Numerical Functional Analysis and Optimization

2015

  1. Numerical properties of different root-finding algorithms obtained for approximating continuous newton's method

    Algorithms

  2. On the accessibility of Newton's method under a Hölder condition on the first derivative

    Algorithms

  3. On the local convergence of a third order family of iterative processes

    Algorithms

  4. Iterative methods for computing the matrix square root

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

  5. A study of optimization for Steffensen-type methods with frozen divided differences

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

  6. Solving the one dimensional Bratu problem with efficient fourth order iterative methods

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

  7. On a new family of high-order iterative methods for the matrix pth root

    Numerical Linear Algebra with Applications

  8. On a Steffensen-like method for solving nonlinear equations

    Calcolo

  9. Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

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

    Taiwanese Journal of Mathematics

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

    Carpathian Journal of Mathematics

  12. On the local convergence of a fifth-order iterative method in Banach spaces

    Applied Mathematics and Computation

  13. Center conditions on high order derivatives in the semilocal convergence of Newton's method

    Journal of Complexity

  14. An analysis of the semilocal convergence for secant-like methods

    Applied Mathematics and Computation

  15. How to improve the domain of parameters for Newton's method

    Applied Mathematics Letters

  16. A family of iterative methods that uses divided differences of first and second orders

    Numerical Algorithms

  17. On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions

    Mediterranean Journal of Mathematics

  18. Graphical representations for the homogeneous bivariate Newton's method

    Applied Mathematics and Computation

  19. On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

    Numerical Algorithms

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

    Numerical Algorithms