9873
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
.
Contributed by:
Eric Rowland
SNAPSHOTS
DETAILS
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.
RELATED LINKS
Process of Perception and Analysis
(
NKS|Online
)
PERMANENT CITATION
"
Complex Newton Iteration for a Cubic Polynomial
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ComplexNewtonIterationForACubicPolynomial/
Contributed by:
Eric Rowland
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Complex Newton Map
Ed Pegg Jr
Iterates for the Mandelbrot Set
Felipe Dimer de Oliveira
Comparing the Iterative and Recursive Flood Fill Algorithms
Andrew Yang
Simple Unconstrained Optimization Method
Marko Petkovic
Bifurcations of the Logistic Map
Rob Morris
Spirolateral
Don Piele
Quadratic Julia Sets
Stephen Wolfram
Limits of Tree Branching
Stephen Wolfram
Gauss-Legendre Approximation of Pi
Russ Johnson
Visualizing the Thomson Problem
Mark Peterson
Related Topics
Algorithms
Complex Analysis
Recursion
Visual Patterns
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+