Mostrando ítems 1-20 de 22

    • A new technique for studying the convergence of Newton’s solver with real life applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Yáñez, Dionisio F.; Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 04/2020)
      The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to ...
    • An efficient optimal family of sixteenth order methods for nonlinear models 

      Behl, Ramandeep; Amat, Sergio; Magreñán, Á. Alberto (1); Motsa, S S (Journal of Computational and Applied Mathematics, 2018)
      The principle aim of this manuscript is to propose a general scheme that can be applied to any optimal iteration function of order eight whose first substep employ Newton’s method to further develop new interesting optimal ...
    • An Overview on Steffensen-Type Methods 

      Amat, Sergio; Busquier, Sonia; Magreñán, Á. Alberto (1); Orcos, Lara (1) (Advances in iterative methods for nonlinear equations, 2016)
      In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different ...
    • Complexity of an Homotopy Method at the Neighbourhood of a Zero 

      Yakoubsohn, J. C.; Gutierrez, J. M.; Magreñán, Á. Alberto (1) (Advances in iterative methods for nonlinear equations, 2016)
      This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered ...
    • Convergence and dynamics of a higher order family of iterative methods 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we study the convergence as well as the dynamics of some high convergence order family of iterative methods.
    • Convergence and Dynamics of a Higher-Order Method 

      Moysi, Alejandro; Argyros, Ioannis K; Regmi, Samundra; González, Daniel; Magreñán, Á. Alberto; Sicilia, Juan Antonio (1) (Symmetry, 03/2020)
      Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, and engineering, to mention a few, reduces to solving an equation. Its solution is one of the greatest challenges. It involves ...
    • Convergence and the dynamics of Chebyshev-Halley type methods 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we present a weak convergence analysis and the dynamics of Chebyshev–Halley type methods.
    • Convergence of iterative methods for multiple zeros 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we study the convergence, as well as the dynamics, of some high order family of iterative methods
    • Convergence planes of iterative methods 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we study the convergence planes associated to a certain class of iterative methods.
    • Directional Newton methods 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter, we are concerned with the convergence of the Directional Newton method (DNM), which is used in many areas such us computer graphics and many applied sciences. We obtain weaker convergence criteria, larger ...
    • Experimental Evaluation of the ETSI DCC Adaptive Approach and Related Algorithms 

      Amador, Óscar; Soto, Ignacio; Calderón, María; Urueña, Manuel (1) (IEEE Access, 2020)
      Decentralized Congestion Control (DCC) mechanisms have been a core part of protocol stacks for vehicular networks since their inception and standardization. The ETSI ITS-G5 protocol stack for vehicular communications ...
    • Extending the Applicability of Stirling's Method 

      Amorós, Cristina (1); Argyros, Ioannis K; Magreñán, Á. Alberto; Regmi, Samundra; González-Crespo, Rubén (1); Sicilia, Juan Antonio (1) (Mathematics, 01/2020)
      Stirling's method is considered as an alternative to Newton's method when the latter fails to converge to a solution of a nonlinear equation. Both methods converge quadratically under similar convergence criteria and require ...
    • Gauss-Newton method for convex composite optimization 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we extend the solvability of convex composite optimization problems using Gauss–Newton method. We present the algorithm and study the regularity. Then we present the semilocal convergence study and finish ...
    • 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 ...
    • "Hello, is There Anybody Who Reads Me?" Radio Programs and Popular Facebook Posts 

      Laor, Tal (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 12/2019)
      Radio stations are increasingly active on social networks, as radio continues to adjust and adapt to online spaces. This research is intended to conceptualize and characterize the success of radio programs beyond their ...
    • Highly efficient family of iterative methods for solving nonlinear models 

      Behl, Ramandeep; Sarría, Íñigo (1); González-Crespo, Rubén (1); Magreñán, Á. Alberto (1) (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 ...
    • Laguerre-like method for multiple zeros 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter the applicability of the Laguerre-like method for finding multiple zeros is extended. Numerical examples are also presented.
    • Newton's method to solve equations with solutions of multiplicity greater than one 

      Magreñán, Á. Alberto (1); Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter the solvability of equations with multiple roots is expanded using the modified Newton's method. Examples are also presented illuminating the theoretical results.
    • Performance and Convergence Analysis of Modified C-Means Using Jeffreys-Divergence for Clustering 

      Seal, Ayan; Karlekar, Aditya; Krejcar, Ondrej; Herrera-Viedma, Enrique (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 12/2021)
      The size of data that we generate every day across the globe is undoubtedly astonishing due to the growth of the Internet of Things. So, it is a common practice to unravel important hidden facts and understand the massive ...