Open AccessGeneración de fractales a partir del método de Newton
Author(s) -
Marı́a José Marı́n,
Fernando Giménez,
Juan A. Monsoriu
Publication year - 2013
Publication title -
modelling in science education and learning
Language(s) - English
Resource type - Journals
ISSN - 1988-3145
DOI - 10.4995/msel.2013.1846
Subject(s) - mandelbrot set , julia set , fractal , iterated function , matlab , divergence (linguistics) , convergence (economics) , newton's method , computation , newton fractal , graphical user interface , computer science , iterative method , sequence (biology) , mathematics , algorithm , computer graphics (images) , mathematical analysis , nonlinear system , local convergence , physics , programming language , linguistics , philosophy , quantum mechanics , biology , economics , genetics , economic growth
A large number of fractals known, as Julia fractals and Mandelbrot, can be generated from an iterative method. In this paper we present a virtual laboratory developed as a Graphical User Interface (GUI) of Matlab that allows us to study and visualize in real time the relationship between Newton iterative methods of two variables and the generation of fractals. The main objective is to allow Technical School students in Numerical Computation subjects to acquire the skills to generate fractals and interpret their plots in terms of the convergence or divergence speed of the sequence of iterated