Mostrando ítems 1-17 de 17

    • 3D visualization through the hologram for the learning of area and volume concepts 

      Orcos, Lara (1); Jordán, Cristina; Magreñán, Á. Alberto (Mathematics, 26/02/2019)
      This study aims to implement and evaluate a methodological proposal using the hologram as a teaching medium for the learning of concepts related to areas and volumes of geometrical bodies. The study has been carried out ...
    • 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 ...
    • Advances in the Semilocal Convergence of Newton's Method with Real-World Applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara; Sarría, Íñigo (1) (Mathematics, 24/03/2019)
      The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies ...
    • Computer Application for the Evaluation of Mathematical Competence in Secondary Education: A Case Study 

      Orcos, Lara (1); Arias, Rosario; Magreñán, Á. Alberto; Sicilia, Juan Antonio (1); Sarría, Íñigo (1) (Communications in Computer and Information Science, 2019)
      The main purpose of this work is the development of an application that allows compulsory secondary education teachers the assessment of the students’ maths competence. An equation of prediction is obtained in a pilot study ...
    • Considerations about flip education in the teaching of advanced mathematics 

      Jordán, Cristina; Magreñán, Á. Alberto; Orcos, Lara (1) (Education Sciences, 28/08/2019)
      The changes in our society in recent years and the consequent idiosyncrasy of young people demand new teaching methodologies. The methodology known as flip teaching, in which pupils study the subject before the class ...
    • 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 ...
    • Different methods for solving STEM problems 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara (1); Sarría, Íñigo (1); Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 05/2019)
      We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used ...
    • Extended local convergence for some inexact methods with applications 

      Argyros, Ioannis K; Legaz, M. J.; Magreñán, Á. Alberto; Moreno, D.; Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 05/2019)
      We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the ...
    • 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 ...
    • Herramienta pedagógica basada en el desarrollo de una aplicación informática para la mejora del aprendizaje en matemática avanzada 

      Sarría, Íñigo (1); González-Crespo, Rubén (1); González-Castaño, Alexander; Magreñán, Á. Alberto; Orcos, Lara (1) (Revista Española de Pedagogía, 01/09/2019)
      El estudio dinámico de los métodos iterativos ha aumentado en las últimas décadas debido al desarrollo de los ordenadores, aspecto por el cual se ha visto la necesidad de incluir la enseñanza de estos métodos en los planes ...
    • Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces 

      Maroju, P; Magreñán, Á. Alberto; Sarría, Íñigo (1); Kumar, Abhimanyu (Journal of Mathematical Chemistry, 01/2020)
      This paper deal with the study of local convergence of fourth and fifth order iterative method for solving nonlinear equations in Banach spaces. Only the premise that the first order Frechet derivative fulfills the Lipschitz ...
    • New Improvement of the Domain of Parameters for Newton’s Method 

      Amorós, Cristina (1); Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Regmi, Samundra; Sarría, Íñigo (1) (Mathematics, 01/2020)
      There is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability ...
    • Study of a high order family: Local convergence and dynamics 

      Amorós, Cristina (1); Argyros, Ioannis K; González-Crespo, Rubén (1); Magreñán, Á. Alberto; Orcos, Lara (1); Sarría, Íñigo (1) (Mathematics, 01/03/2019)
      The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a ...
    • Study of local convergence and dynamics of a king-like two-step method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Moysi, Alejandro; Sarría, Íñigo (1); Sicilia, Juan Antonio (1) (Mathematics, 01/07/2020)
      In this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because ...
    • The Kumon Method: Its Importance in the Improvement on the Teaching and Learning of Mathematics from the First Levels of Early Childhood and Primary Education 

      Orcos, Lara (1); Hernández-Carrera, Rafael M. (1); Espigares Pinazo, Manuel Jesús (1); Magreñán, Á. Alberto (Mathematics, 01/2019)
      The present work gathers an educational experience based on the application of the personalized Kumon Mathematics Method, carried out in the school year 2015-2016, in which 30,849 students and 230 teachers from several ...
    • Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara (1); Sarría, Íñigo (1) (Mathematics, 05/2019)
      Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...
    • Weaker conditions for inexact mutitpoint Newton-like methods 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Moreno-Mediavilla, Daniel (1); Orcos, Lara (1); Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 01/2020)
      In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will ...