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Listar por tema "stability"

Mostrando ítems 1-13 de 13

    • A new fourth-order family for solving nonlinear problems and its dynamics 

      Cordero, Alicia; Feng, Licheng; Magreñán, Á. Alberto ; Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 03/2015)
      In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...

    • Aseguramiento de la Calidad del Proceso con el Indicador ʺCapacidad del Procesoʺ 

      Romero-Pérez, Óscar Eduardo (18/02/2021)
      El presente Trabajo Fin de Master versa sobre el aseguramiento de la calidad del proceso a través del indicador ʺCapacidad del Procesoʺ dentro de una industria, Bexiflon, que fabrica, desde hace más de 40 años, piezas ...

    • 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 ...

    • Gestión de clubes deportivos 

      Herrero-Fernández, Jorge (01/07/2019)
      Herrero Sports Consulting proporciona servicios de gestión deportiva cuyo objetivo es ofrecer servicios innovadores, de calidad y estabilidad institucional para que se cumplan objetivos comunes. Nuestra misión es gestionar ...

    • Highly efficient family of iterative methods for solving nonlinear models 

      Behl, Ramandeep; Sarría, Íñigo ; González-Crespo, Rubén ; Magreñán, Á. Alberto (Journal of Computational and Applied Mathematics, 15/01/2019)
      In this study, we present a new highly efficient sixth-order family of iterative methods for solving nonlinear equations along with convergence properties. Further, we extend this family to the multidimensional case ...

    • 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 ...

    • On the effect of the multidimensional weight functions on the stability of iterative processes 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 15/05/2022)
      In this work, we start from a family of iterative methods for solving nonlinear multidimensional problems, designed using the inclusion of a weight function on its iterative expression. A deep dynamical study of the family ...

    • Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane 

      Magreñán, Á. Alberto ; Cordero, Alicia; Gutiérrez, José M; Torregrosa, Juan Ramón (Mathematics and Computers in Simulation, 11/2014)
      The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...

    • Stability analysis of a parametric family of iterative methods for solving nonlinear models 

      Cordero, Alicia; Gutiérrez, José M; Magreñán, Á. Alberto ; Torregrosa, Juan Ramón (Applied Mathematics and Computation, 07/2016)
      A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order of convergence of all members in this family, except one of them whose order is five. The methods ...

    • Stability study of eighth-order iterative methods for solving nonlinear equations 

      Cordero, Alicia; Magreñán, Á. Alberto ; Quemada, Carlos; Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 01/2016)
      In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the ...

    • 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 ...

    • Third-degree anomalies of Traub's method 

      Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto ; Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 01/2017)
      Traub’s method is a tough competitor of Newton’s scheme for solving nonlinear equations as well as nonlinear systems. Due to its third-order convergence and its low computational cost, it is a good procedure to be applied ...

    • Wavelets for the Maxwell's equations: An overview 

      Amat, Sergio; Blázquez Tobias, Pedro J. ; Busquier, Sonia; Bermúdez, Concepción (Journal of Computational and Applied Mathematics, 09/2017)
      In recent years wavelets decompositions have been widely used in computational Maxwell’s curl equations, to effectively resolve complex problems. In this paper, we review different types of wavelets that we can consider, ...