Complex Newton Iteration for a Cubic Polynomial

The color at a point indicates in which region of the complex plane it lies after iterations of the map . This is Newton's method for finding the complex roots of .

Snapshot 1: After zero iterations, each point lies in its original region.
Snapshot 2: Nested structure can be seen after three iterations.
Snapshot 3: Intricate patterns develop for higher iterations.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+