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FindRoot and evaluations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96951] FindRoot and evaluations
  • From: ventutech at gmail.com
  • Date: Sat, 28 Feb 2009 06:40:26 -0500 (EST)

Let's say:

F[x_]:=Module[
          {x0=x},
          Print[x0];
          SomethingLongAndHeavy[x0]
];

now I do:

FindRoot[F[x],{x,0}]

and it prints:

x

because it first attempts to evaluate F[x] in a symbolic form.
I don't want this. Because SomethingLongAndHeavy is a recursion set of
relations which generates a polynomial of order... too much. What I
would like to see is:

0.0001
0.0002
...

So that F[x] is treated as a blackbox, and some Newton or Bisection
method is applied on this blackbox.
How to do that?

Thanks!
Davide

PS: Based on previous discussions I already tried to play with
attributes HoldAll and option Evaluated, with no success.


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