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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
(
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)
PERMANENT CITATION
"
Complex Newton Iteration for a Cubic Polynomial
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ComplexNewtonIterationForACubicPolynomial/
Contributed by:
Eric Rowland
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