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.

Financed by Ministerio de Economía y Competitividad
Duration of the 01 of January of 2015 to 31 of December of 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. On a Moser–Steffensen Type Method for Nonlinear Systems of Equations

    Mediterranean Journal of Mathematics

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

    Journal of Complexity

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

    Zeitschrift für Analysis und ihre Anwendungen

  9. Decision model for siting transport and logistic facilities in urban environments

    Journal of computational and applied mathematics

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

    Applied Mathematics and Computation

  11. A Steffensen type method of two steps in Banach spaces with applications

    Journal of computational and applied mathematics

  12. On a Newton-kurchatov-type iterative process

    Numerical Functional Analysis and Optimization

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

    Journal of Computational and Applied Mathematics

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

    Mediterranean Journal of Mathematics

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

    Applied Mathematics and Computation

  16. Stability study of eighth-order iterative methods for solving nonlinear equations

    Journal of computational and applied mathematics

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

    Taiwanese Journal of Mathematics

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

    Applied Mathematics Letters

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

    Numerical Algorithms

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

    Mediterranean Journal of Mathematics

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

    Applied Mathematics and Computation

  14. Real dynamics for damped Newton�s method applied to cubic polynomials

    Journal of computational and applied mathematics

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

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada

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

    Carpathian Journal of Mathematics

  17. Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order

    Journal of computational and applied mathematics

  18. Extending the convergence domain of the Secant and Moser method in Banach Space

    Journal of computational and applied mathematics

  19. Extended convergence results for the Newton–Kantorovich iteration

    Journal of computational and applied mathematics

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

    Applied Mathematics and Computation

  21. Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces

    Journal of computational and applied mathematics

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

    Journal of Complexity

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

    Applied Mathematics and Computation

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

    Numerical Algorithms

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

    Numerical Algorithms