       Re: Numerical Optimization involving equation solving

• To: mathgroup at smc.vnet.net
• Subject: [mg55980] Re: [mg55969] Numerical Optimization involving equation solving
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Wed, 13 Apr 2005 01:10:04 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Try

f[x_?NumericQ] := (stuff; ans);

Bob Hanlon

>
> From: "Brian Rogers" <brifry at gmail.com>
To: mathgroup at smc.vnet.net
> Date: 2005/04/12 Tue AM 05:26:28 EDT
> To: mathgroup at smc.vnet.net
> Subject: [mg55980] [mg55969] Numerical Optimization involving equation solving
>
> I need to optimize a function of one variable, say
> f[x_]:=(stuff;Return[ans];).  Computing the value of f requires solving
> a (non-linear) system of equations that depend on x, and using this
> solution to compute some other things.
>
> Now, evaluating f at a numerical value of x works just fine, and I can
> even plot f (using Plot[f[x],{x,0,1}]) and eyeball the optimum.  By the
> way, f is a very well behaved function--it is typically smooth and
> globally convex.  However, what I really want to do is use FindMinimum
> (or NMinimize) to numerically return the optimum.  When I use either of
> these built-in functions, they crash.  I believe that they are first
> trying to evaluate f[x] symbolically--which would understandably cause
> it to crash because the system of equations doesn't have a closed form
> solution in x.
>
> I've tried using the "Compiled" option with no luck.  How can I force
> FindMinimum to use a purely numerical procedure to optimize my
> function?
>
> Any help is greatly appreciated, and please copy any reply to
> brifry at gmail.com.
> Thanks!
>
>

```

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