Pathological example for Newton's method (applet)Paul
Garrett, garrett@math.umn.edu
This example illustrates a pathological possibility for
Newton's
method. (See non-pathological case to see
what should happen in the good
situation.)
-> Try various initial points to compare how quickly the true root is
approached.
-> Note that the close approach of the graph to the x-axis in the "trough"
causes bizarre and unpredicatable "deflections" from the true root...
© 1997, Paul Garrett ... [ garrett@math.umn.edu ]
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