Re: Looking for suggestions on a root search strategy
- From: kargl@xxxxxxxxxxxxxxxxxxxxxxxxxxxx (Steven G. Kargl)
- Date: Wed, 3 Jan 2007 05:59:09 +0000 (UTC)
In article <459b0a7b$0$8994$4c368faf@xxxxxxxxxxxxxx>,
"Alan" <info@xxxxxxxxxxxxxxxxxxxxxxxxx> writes:
I would appreciate any suggestions on a
good algorithm for finding a root with the following setup:
My real-valued function f(x) either
(i) has no roots in (0,a) or
(ii) has a single root x = b in (0,a), where 0 < b < a
If you can use analytic continuation to the complex plane,
then evaluation of the winding number for a closed contour
can determine if a zero exists. A simple Cauchy integral
over the same contour can then be used to determine the
value.
Without knowing the form of f(x), I can't say much more.
--
Steve
http://troutmask.apl.washington.edu/~kargl/
.
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