  Matlab Database > GUIs, Graphics & Visualization > Fractals > Newton Iteration in Complex Plane

### Matlab File(s)

 Title: Newton Iteration in Complex Plane Primary Author: M2-TUM Other Authors: Zuo Chen E-Mail: matlabdb-AT-ma.tum.de Institution: TU Munich Description: comp3_newton(min_re,max_re,min_im,max_im,n_re,n_im,tol) assigns to each point (x,y) in the complex plane (with min_re <= x <= max_re, min_im <= y <= max_im) one of three different colours according to which zero of the equation x^3 + i = 0 the Newton iteration converges to if (x,y) is chosen as the starting point. n_re and n_im determine the number of points between the limits; tol gives the accuracy. comp3_newton uses the values min_re = -1.5, max_re = 1.5, min_im = -1, max_im = 1, n_re = 1000, n_im = 1000, tol = 0.001. Similar for comp5_newton(min_re,max_re,min_im,max_im,n_re,n_im,tol) and comp7_newton(min_re,max_re,min_im,max_im,n_re,n_im,tol) for the equations x^5 + i = 0 and x^7 + i = 0 respectively. Usage: type unzip comp_newton.zip Contents: comp3_newton.m comp5_newton.m comp7_newton.m This file was generated by students as a partial fulfillment for the requirements of the course "Fractals", Winter term 2004/2005, Stuttgart University. Keywords: Newton, complex, komplexe, fractals, Fractale, Julia, set, Menge File Name: comp_newton.zip File Size: 4 KB File Version: 1.0 Matlab Version: 7.0 Date: 2004-11-30 Downloads: 2105 Download File  © Technische Universität München 2011 | Disclaimer | Impressum Rechtshinweise