Mostrando ítems 1-11 de 11

    • An efficient optimal family of sixteenth order methods for nonlinear models 

      Behl, Ramandeep; Amat, Sergio; Magreñán, Á. Alberto ; Motsa, S S (Journal of Computational and Applied Mathematics, 2018)
      The principle aim of this manuscript is to propose a general scheme that can be applied to any optimal iteration function of order eight whose first substep employ Newton’s method to further develop new interesting optimal ...
    • An Overview on Steffensen-Type Methods 

      Amat, Sergio; Busquier, Sonia; Magreñán, Á. Alberto ; Orcos, Lara (Advances in iterative methods for nonlinear equations, 2016)
      In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different ...
    • Comparing of the behaviour of iterative methods based on different means 

      Amat, Sergio; Busquier, Sonia; Hernández-Verón, M A; Magreñán, Á. Alberto; Orcos, Lara (AIP Conference Proceedings, 2020)
      Based on the modification of family of iterative processes of Chebyshev-Halley presented by M. Kansal et al. in [2], whose convergence is cubic, we will present in this talk a comparison between the behaviour of some members ...
    • Drilling string vibration: Modelling and simulation 

      Amat, Sergio; Henríquez Velez, Gustavo E ; Légaz, María José (Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE, 2018)
      The offshore industry has a significant impact on the globaleconomy and it is expected to grow over the next 4 years. Acrucial part of an offshore structure is the drill string. Drillstrings can be seriously damaged by ...
    • Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators 

      Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto (Algorithms, 09/2015)
      This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution ...
    • Improving the Dynamics of Steffensen-type Methods 

      Amat, Sergio; Busquier, Sonia; Magreñán, Á. Alberto (Applied Mathematics and Information Sciences, 2015)
      The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the ...
    • Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions 

      Amat, Sergio ; Argyros, Ioannis K; Busquier, Sonia; Magreñán, Á. Alberto (Numerical Algorithms, 02/2017)
      We present a local convergence analysis of a two-point four parameter Jarratt-like method of high convergence order in order to approximate a locally unique solution of a nonlinear equation. In contrast to earlier studies ...
    • Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems 

      Amat, Sergio; Argyros, Ioannis K; Magreñán, Á. Alberto (Journal of the Korean Mathematical Society, 09/2014)
      We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information ...
    • On a Newton-type family of high-order iterative methods for some matrix functions 

      Amat, Sergio; Busquier, Sonia; Magreñán, Á. Alberto (AIP Conference Proceedings, 2018)
      The main goal of this paper is to approximate some matrix functions by using a family of high-order Newton-type iterative methods. We analyse the semilocal convergence and the speed of convergence of these methods. Concerning ...
    • On the election of the damped parameter of a two-step relaxed Newton-type method 

      Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto (Nonlineard Dynamics, 04/2016)
      In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped ...
    • Wavelets for the Maxwell's equations: An overview 

      Amat, Sergio; Blázquez Tobias, Pedro J. ; Busquier, Sonia; Bermúdez, Concepción (Journal of Computational and Applied Mathematics, 09/2017)
      In recent years wavelets decompositions have been widely used in computational Maxwell’s curl equations, to effectively resolve complex problems. In this paper, we review different types of wavelets that we can consider, ...