• 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 ...
    • Anomalies in the convergence of Traub‐type methods with memory 

      Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Computational and Mathematical Methods, 06/08/2019)
      The stability analysis of a new family of iterative methods with memory isintroduced. This family, designed from Traub's method, allows to add memorythrough the introduction of an accelerating parameter. Hence, the speed ...
    • Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications 

      Chand, Prem Bahadur; Chicharro, Francisco Israel (1); Garrido, Neus; Jain, Pankaj (MDPIMathematics, 11/10/2019)
      In this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are ...
    • Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications 

      Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (MDPIMathematics, 05/12/2019)
      A generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to nonlinear ...
    • Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability 

      Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Axioms, 06/05/2019)
      In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing ...