       Re: Is this a problem in mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg74622] Re: Is this a problem in mathematica?
• From: Johan Grönqvist <johan.gronqvist at gmail.com>
• Date: Wed, 28 Mar 2007 04:35:53 -0500 (EST)
• References: <eud3g1\$l0t\$1@smc.vnet.net>

```traz skrev:
> Let's say I wanna solve this problem:
>
> Determine point(s) on y = x^2 +1 that are
> closest to (0,2).
>
> So in mathematica:
>
> minDist = (x - 0)^2 + (y - 2)^2;
> Minimize[minDist, y == 1 + x^2, {x, y}]
>
> Output will give you: x -> -1/Sqrt, y -> 3/2
>
> but x also has another answer: +1/Sqrt. Is this a problem in mathematica or can my code be changed to output the other value of x for the minimum distance?
>

The help browser page on Minimize says "Even if the same minimum is
achieved at several points, only one is returned. "

I think the problem might be solved by using FindMinimium, and starting
from several different points.

/ johan

```

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