Newton's Iteration Method and its Generalizations

William J. Gilbert © 1991

Section 4: Relaxed Newton Method

Section 4 text (14 Kbytes)
Figure 4a: Basins of attraction of the
Relaxed Newton Method for a double root of
g(z) = z(z - 1)(z + 1)2
after 1500 iterates
Relaxed 1500 iterates (8 Kbytes)
Figure 4b: The same as Figure 4a
after 10 iterates
Figure 4c: The same as Figure 4a
after 1250 iterates
Relaxed 10 iterates (3 Kbytes) Relaxed 1250 iterates (4 Kbytes)

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