• Impact on Stability by the Use of Memory in Traub-Type Schemes 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (Mathematics, 02/2020)
      In this work, two Traub-type methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub's method, they have been designed using linear ...
    • On the choice of the best members of the Kim family and the improvement of its convergence 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Mathematical Methods in the Applied Sciences, 30/09/2020)
      The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory ...
    • Suitable approximations for the self-accelerating parameters in iterative methods with memory 

      Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (03/12/2020)
      Solving the nonlinear equation f(x)=0 is a common problem in several areas of Science and Engineering. Since exact solutions of the nonlinear equation are hardly available, scientists best rely on numerical solutions, such ...