Mostrando ítems 1-20 de 21

    • Advances in the Semilocal Convergence of Newton's Method with Real-World Applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara; Sarría, Íñigo (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 ...
    • Ball comparison between frozen Potra and Schmidt-Schwetlick schemes with dynamical analysis 

      Argyros, Michael I; Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Moysi, Alejandro; Sarría, Íñigo (Computational and Mathematical Methods, 2021)
      In this article, we propose a new research related to the convergence of the frozen Potra and Schmidt-Schwetlick schemes when we apply to equations. The purpose of this study is to introduce a comparison between two solutions ...
    • Computational method for monitoring pauses exercises in office workers through a vision model 

      Herrera, Fabian; Niño, Rodrigo; Montenegro-Marin, Carlos Enrique; Gaona-García, Paulo Alonso; Sarría, Íñigo ; González-Crespo, Rubén (Journal of ambient intelligence and humanized computing, 2021)
      A sedentary routine at work can cause various muscular, skeletal or visual diseases, however these can be prevented with what is known as active pauses. This article is intended to illustrate how software can help reduce ...
    • Computer Application for the Evaluation of Mathematical Competence in Secondary Education: A Case Study 

      Orcos, Lara ; Arias, Rosario; Magreñán, Á. Alberto; Sicilia, Juan Antonio ; Sarría, Íñigo (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 ...
    • Detecting Image Brush Editing Using the Discarded Coefficients and Intentions 

      López Hernández, Fernando Carlos; de-la-Fuente-Valentín, Luis; Sarría, Íñigo (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 06/2019)
      This paper describes a quick and simple method to detect brush editing in JPEG images. The novelty of the proposed method is based on detecting the discarded coefficients during the quantization of the image. Another novelty ...
    • Didactic intervention on notable products 

      Jiménez, C.; Magreñán, Á. Alberto; Sarría, Íñigo (Nova Science Publishers, Inc., 2020)
      High school students have no difficulty in learning the notable products, but they have difficulties in knowing how to apply them when required in a problem. Algebraic reasoning is one of the most difficult cognitive ...
    • Different methods for solving STEM problems 

      Argyros, Ioannis K; Magreñán, Á. Alberto; Orcos, Lara ; Sarría, Íñigo ; Sicilia, Juan Antonio (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 ...
    • Games math. Adaptive video game to evaluate basic mathematic concepts 

      Sarría, Íñigo ; González-Crespo, Rubén ; Magreñán, Á. Alberto ; Narváez, Sandra Patricia ; Orcos, Lara (08/2017)
      Video games are interesting tools which can help teachers to motivate students so as to reinforce the main concepts related to Euclidean geometry, such as the types of angles, lines, and terms related with the circle and ...
    • Herramienta pedagógica basada en el desarrollo de una aplicación informática para la mejora del aprendizaje en matemática avanzada 

      Sarría, Íñigo ; González-Crespo, Rubén ; González-Castaño, Alexander; Magreñán, Á. Alberto; Orcos, Lara (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 ...
    • 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 ...
    • Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields 

      Argyros, Christopher I.; Argyros, Michael I; Argyros, Ioannis K; Magreñán, Á. Alberto; Sarría, Íñigo (Journal of Computational and Applied Mathematics, 2023)
      The convergence is developed for a large class of Chebyshev-two point-like methods for solving Banach space valued equations. Both the local as well as the semi-local convergence is provided for these methods under general ...
    • Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations 

      Magreñán, Á. Alberto ; Argyros, Ioannis K; Sarría, Íñigo ; Sicilia, Juan Antonio (AIP Conference Proceedings, 2018)
      We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The ...
    • Local convergence comparison between frozen Kurchatov and Schmidt–Schwetlick–Kurchatov solvers with applications 

      Moysi, Alejandro; Argyros, Michael I; Argyros, Ioannis K; Magreñán, Á. Alberto ; Sarría, Íñigo ; González Sánchez, Daniel (Journal of Computational and Applied Mathematics, 04/2022)
      In this work we are going to use the Kurchatov–Schmidt–Schwetlick-like solver (KSSLS) and the Kurchatov-like solver (KLS) to locate a zero, denoted by x∗ of operator F. We define F as F:D⊆B1⟶B2 where B1 and B2 stand for ...
    • Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces 

      Maroju, P; Magreñán, Á. Alberto; Sarría, Íñigo ; 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 ; Argyros, Ioannis K; González, Daniel; Magreñán, Á. Alberto; Regmi, Samundra; Sarría, Íñigo (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 ...
    • NFC and VLC based Mobile Business Information System for Registering Class Attendance 

      Rios-Aguilar, Sergio; Sarría, Íñigo ; Beltrán Pardo, Marta (International Journal of Interactive Multimedia and Artificial Intelligence, 06/2020)
      This work proposes a Mobile Information System for class attendance control using Visible Light Communications (VLC), and the students' own mobile devices for automatic clocking in and clocking out. The proposed information ...
    • Second derivative free sixth order continuation method for solving nonlinear equations with applications 

      Maroju, P; Magreñán, Á. Alberto ; Motsa, S S; Sarría, Íñigo (Journal of Mathematical Chemistry, 08/2018)
      In this paper, we deal with the study of convergence analysis of modified parameter based family of second derivative free continuation method for solving nonlinear equations. We obtain the order of convergence is at least ...
    • Study of a high order family: Local convergence and dynamics 

      Amorós, Cristina ; Argyros, Ioannis K; González-Crespo, Rubén ; Magreñán, Á. Alberto; Orcos, Lara ; Sarría, Íñigo (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 ; Sicilia, Juan Antonio (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 Enhancement of Academic Performance in Online Environments 

      Chicharro, Francisco Israel ; Giménez de Ory, Elena ; Sarría, Íñigo (MDPI, 10/12/2019)
      Distance education has been gaining popularity for the last years. The proficiency in online environments of both learners and teachers explains the success of this methodology. An evaluation of graduate students’ performance ...