Root search on results of minimization with free parameter
- To: mathgroup at smc.vnet.net
- Subject: [mg114770] Root search on results of minimization with free parameter
- From: Philipp WeiÃgraeber <weissgraeber at fsm.tu-darmstadt.de>
- Date: Thu, 16 Dec 2010 05:50:36 -0500 (EST)
Hello all!
I have a function f which is for example the result of a minimization with
respect to x. It still depends on a parameter c. Now I want to find the root
(or minima or whatever) of the the function f with respect to c.
This seems does not work.
I always get the errors "NMinimize::nnum: Function value is not a number"
resp. "FindRoot::nlnum: The function value is not a list of numbers"
Example:
example[c_, x_] = x^2 + c/2;
f[c_] := NMinimize[example[c, x], x][[1]];
FindRoot[f[c] == 0, {c, 14}]
How can I implement this?
My original problem is of course of more complex nature, but it boils down to
this.
Thank you
Philipp