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Title: Convergence of Newton in Complex Plane
Primary Author: M2-TUM
Other Authors:Zuo Chen
Institution: TU Munich
Description: conv_newton(p,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)
a colour dependent on the rate of convergence of the Newton
iteration if (x,y) is chosen as the starting point.
The equation is x^p + i = 0.

n_re and n_im determine the number of points between the limits;
tol gives the accuracy.

conv_newton(p) 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.

conv_newton uses the limits as above and in addition p = 3.

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, convergence, Konvergenz
File Name: conv_newton.m
File Size: 2 KB
File Version: 1.0
Matlab Version: 7.0
Date: 2004-11-30
Downloads: 2312
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