Re: FindMinimum is not obeying my bounds

• To: mathgroup at smc.vnet.net
• Subject: [mg62671] Re: [mg62652] FindMinimum is not obeying my bounds
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Wed, 30 Nov 2005 06:04:23 -0500 (EST)
• References: <200511300507.AAA00125@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```On 30 Nov 2005, at 14:07, Chris Chiasson wrote:

> Dear MathGroup,
>
> FindMinimum is not obeying my bounds:
>
> In[1]:=
> FindMinimum[(x-1)^2,{x,-80,-100,-70}]
> Out[1]=
> {0.,{x\[Rule]1.}}
>
> Version Number: 5.2.0.0
> Platform: Windows
>
> How does this turn out on your computers?
>
> Regards,
> --
> http://chrischiasson.com/contact/chris_chiasson
>

Yes, there is definitely something funny here, for note the following:

FindMinimum[(x-1)^2,{x,-80,-100,-70}]

{0.,{x->1.}}

FindMinimum[Expand[(x-1)^2],{x,-80,-100,-70}]

The point -70. is at the edge of the search region in coordinate 1and
the computed search direction points outside the region.

{5041.,{x->-70.}}

I would say this indicates a bug, wouldn't you? (This is with
Mathematica 5.1 for Mac OS X).

Actually, I think problems with polynomial input and restrictions are
better done by Minimize:

Minimize[{(x - 1)^2, -100 <= x <= -70}, x]

{5041, {x -> -70}}

Andrzej Kozlowski

```

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