Diferentes tipos de condiciones iniciales para la convergencia semilocal en la aproximación de ceros de operadores no lineales. Aplicaciones.

Duration: from 31 December 2005 to 31 December 2008

Researchers

Foto de Miguel Angel
Miguel Angel
Hernández Verón
Leader
Foto de José Antonio
José Antonio
Ezquerro Fernández
Foto de José Manuel
José Manuel
Gutiérrez Jiménez
Foto de Natalia
Natalia
Romero Alvarez
Foto de María Jesús
María Jesús
Rubio Crespo
Foto de María Amparo
María Amparo
Salanova Martínez

Publications related to the project

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2009

  1. Computer proofs of new identities in the Catalan triangle

    Proceedings of the "Segundas Jornadas de Teoría de Números" : Madrid, july, 16th-19th, 2007

2008

  1. The Ulm method under mild differentiability conditions

    Numerische Mathematik

  2. A modification of Cauchy's method for quadratic equations

    Journal of Mathematical Analysis and Applications

  3. A numerical procedure to solve non-linear kinematic problems in spatial mechanisms

    International Journal for Numerical Methods in Engineering

  4. A note on a modification of Moser's method

    Journal of Complexity

  5. New identities in the Catalan triangle.

    Journal of Mathematical Analysis and Applications

  6. On the global convergence of Chebyshev's iterative method

    Journal of Computational and Applied Mathematics

  7. A modified Chebyshev's iterative method with at least six order of convergence

    Applied Mathematics and Computation

2007

  1. Chebyshev's approximation algorithms for operators with ?-conditioned first derivative

    Journal of Computational Analysis and Applications

  2. A generalization of the Kantorovich type assumptions for Halley's method

    International Journal of Computer Mathematics

  3. A unifying local and semilocal convergence analysis of Newton-like methods

    Advances in Nonlinear Variational Inequalities

  4. Accelerated iterative methods for finding solutions of a system of nonlinear equations

    Applied Mathematics and Computation

  5. General study of iterative processes of R-order at least three under weak convergence conditions.

    Journal of Optimization Theory and Applications

  6. Application of iterative processes of R-order at least three to operators with unbounded second derivative.

    Applied Mathematics and Computation

  7. The Catalan numbers in the approximation of roots of quadratic polynomials.

    Grazer Mathematische Berichte

  8. Methods with prefixed order for approximating square roots with global and general convergence.

    Applied Mathematics and Computation

  9. On efficiency index of point-to-point iterative processes.

    Numerical Algorithms

2006

  1. Familias paramétricas de procesos iterativos de alto orden de convergencia

    Natalia Romero Álvarez

  2. Parametric families of iterative processes with high order of convergence.

    Universidad de La Rioja

  3. Fewer convergence conditions for the Halley method.

    Zeitschrift für Analysis und ihre Anwendungen

  4. On the R-order of convergence of Newton's method under mild differentiability conditions.

    Journal of Computational and Applied Mathematics

  5. An adaptative version of a fourth order iterative method for quadratic equations

    Journal of Computational and Applied Mathematics

  6. A new semilocal convergence theorem for Steffensen's type methods

    International Journal of Applied Science & Computations