• CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems 

      Chicharro, Francisco Israel ; Cordero, Alicia; Martínez, Tobias H. ; Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 03/2020)
      The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative methods ...
    • Family of Multiple-Root Finding Iterative Methods Based on Weight Functions 

      Chicharro, Francisco Israel ; Contreras, Rafael Andrés ; Garrido, Neus (MathematicsMDPI, 09/12/2020)
      A straightforward family of one-point multiple-root iterative methods is introduced. The family is generated using the technique of weight functions. The order of convergence of the family is determined in its convergence ...
    • Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications 

      Chicharro, Francisco Israel ; 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 ; 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 ...