• A new efficient parametric family of iterative methods for solving nonlinear systems 

      Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Journal of Difference Equations and Applications, 18/09/2019)
      A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ...
    • Enlarging the convergence domain of secant-like methods for equations 

      Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Hilout, S; Magreñán, Á. Alberto (1) (Taiwanese Journal of Mathematics, 04/2015)
      We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's ...
    • On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory 

      Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus (1); Torregrosa, Juan Ramón (Applied Mathematics Letters, 06/2020)
      Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second order. ...