Buscar
Mostrando ítems 1-7 de 7
Highly efficient family of iterative methods for solving nonlinear models
(Journal of Computational and Applied Mathematics, 2019-01-15)
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 ...
Different methods for solving STEM problems
(Journal of Mathematical Chemistry, 2019-05)
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 ...
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
(Mathematics, 2019-05)
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 ...
Advances in the Semilocal Convergence of Newton's Method with Real-World Applications
(Mathematics, 2019-03-24)
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 ...
Study of a high order family: Local convergence and dynamics
(Mathematics, 2019-03-01)
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 ...
Herramienta pedagógica basada en el desarrollo de una aplicación informática para la mejora del aprendizaje en matemática avanzada
(Revista Española de Pedagogía, 2019-09-01)
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 ...
Computer Application for the Evaluation of Mathematical Competence in Secondary Education: A Case Study
(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 ...