• Iterative schemes for finding all roots simultaneously of nonlinear equations 

      Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Applied Mathematics Letters, 2022)
      In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this procedure ...
    • Memory in the iterative processes for nonlinear problems 

      Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Mathematical Methods in the Applied Sciences, 2023)
      In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by ...
    • Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory 

      Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Symmetry-Basel, 2022)
      In this paper, new tools for the dynamical analysis of iterative schemes with memory for solving nonlinear systems of equations are proposed. These tools are in concordance with those of the scalar case and provide interesting ...