Complex Dynamics of Newton's Methods

in the Fractal Gallery of William Gilbert

Pure Mathematics Department, University of Waterloo, Ontario, Canada

Newton's Method for Multiple Roots

For the function   g (z) = z2 ( z3 - 1 )

Multiple Newton 1 (13 K bytes)

For the function   g (z) = z ( z + 0.1 ) ( z3 - 1 )

Multiple Newton 2 (23 K bytes)

References

© 1999 by William Gilbert          Back to the entrance of the Fractal Gallery of William Gilbert.