Re: Secant method vs Newton's method

In article <eev07e$8b7$1@xxxxxxxxxxxxxxxxxxxxx>,
Schizoid Man <schiz@xxxxxx> wrote:
Hi,

Under what circumstances would I prefer the secant method to Newton's
method?

Newton's method converges much faster and the number of
function calls
seem to be the same (if we assume the derivative is a function call).

Newton's method is great when it works, but it's only likely
to work if your initial guess is close to the actual root.
There are plenty of examples where it fails to converge, or
shoots off to infinity.

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
.

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