Publications (33) Sonia Busquier Sáez publications

filter_list Applied Mathematics

2017

  1. Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions

    Numerical Algorithms, Vol. 74, Núm. 2, pp. 371-391

  2. On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences

    Computational Methods in Applied Mathematics, Vol. 17, Núm. 2, pp. 187-199

2016

  1. An overview on Steffensen-type methods

    SEMA SIMAI Springer Series (Springer International Publishing), pp. 5-21

2015

  1. Expanding the applicability of a third order Newton-type method free of bilinear operators

    Algorithms, Vol. 8, Núm. 3, pp. 669-679

2014

  1. Expanding the Applicability of High-Order Traub-Type Iterative Procedures

    Journal of Optimization Theory and Applications, Vol. 161, Núm. 3, pp. 837-852

  2. Newton-type methods on Riemannian manifolds under Kantorovich-type conditions This paper is dedicated to the memory of Sergio Plaza.

    Applied Mathematics and Computation, Vol. 227, pp. 762-787

2013

  1. Mathematics for Engineering and Engineering for Mathematics

    New ICMI Study Series (Springer), pp. 185-198

2012

  1. On a family of high-order iterative methods under Kantorovich conditions and some applications

    Abstract and Applied Analysis, Vol. 2012

  2. On two families of high order Newton type methods

    Applied Mathematics Letters, Vol. 25, Núm. 12, pp. 2209-2217

  3. Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems

    Numerical Algorithms, Vol. 61, Núm. 4, pp. 631-647

2011

  1. A wavelet adaptive two-step Newton type method

    Journal of the Franklin Institute, Vol. 348, Núm. 5, pp. 823-831

  2. Third-order iterative methods with applications to Hammerstein equations: A unified approach

    Journal of Computational and Applied Mathematics, Vol. 235, Núm. 9, pp. 2936-2943

2010

  1. On a third-order newton-type method free of bilinear operators

    Numerical Linear Algebra with Applications, Vol. 17, Núm. 4, pp. 639-653

2009

  1. A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators

    Journal of Computational and Applied Mathematics, Vol. 228, Núm. 1, pp. 486-493

  2. Sobre algunos métodos numéricos y su relación con modelos matemáticos: temas de interés para los miembros del Proyecto

    Jornadas de introducción a la investigación de la UPCT, Núm. 2, pp. 98-100

2008

  1. A Steffensen's type method in Banach spaces with applications on boundary-value problems

    Journal of Computational and Applied Mathematics, Vol. 216, Núm. 1, pp. 243-250

  2. High order iterative schemes for quadratic equations

    Numerical Algorithms, Vol. 48, Núm. 4, pp. 373-381

  3. On the dynamics of the Euler iterative function

    Applied Mathematics and Computation, Vol. 197, Núm. 2, pp. 725-732

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

    Journal of Computational and Applied Mathematics, Vol. 220, Núm. 1-2, pp. 17-21

2007

  1. Super-attracting periodic orbits for a classical third order method

    Journal of Computational and Applied Mathematics, Vol. 206, Núm. 1, pp. 599-602