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MathGroup Archive 2002

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Re: Nonlinear Programming?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg34942] Re: [mg34939] Nonlinear Programming?
  • From: Andrzej Kozlowski <andrzej at platon.c.u-tokyo.ac.jp>
  • Date: Fri, 14 Jun 2002 02:38:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Sorry, I forgot to add: you must load the Experimental context first, 
with

<<Experimental`


On Thursday, June 13, 2002, at 04:40  PM, Andrzej Kozlowski wrote:

> Yes. What's more, the constraints need not be linear. (However do not 
> expect great speed.)
>
> In[9]:=
> Minimize[(-x)*y, {x^2 + y^2 <= 1, x >= 0, y >= 0}, {x, y}]
>
> Out[9]=
> {-(1/2), {y -> 1/Sqrt[2], x -> 1/Sqrt[2]}}
>
> Of course this means that the maximum is
>
> In[10]:=
> -%[[1]]
>
> Out[10]=
> 1/2
>
> at
>
> In[11]:=
> {x, y} /. %%[[2]]
>
> Out[11]=
> {1/Sqrt[2], 1/Sqrt[2]}
>
Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/
>
> On Thursday, June 13, 2002, at 03:38  PM, Leonard Wapner wrote:
>
>> Is there a Mathematica function allowing me to maximize the product 
>> "xy"
>> over a set of linear constraints?  The functions ConstrainedMax and
>> ConstrainedMin require a linear objective function.
>>
>> Thanks - L
>>
>>
>>
>>
>



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