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MathGroup Archive 2005

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Re: Non linear System of inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57320] Re: Non linear System of inequalities
  • From: dh <dh at metrohm.ch>
  • Date: Tue, 24 May 2005 05:12:58 -0400 (EDT)
  • References: <d6mmq1$gi5$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,
If I understood your question, then "Reduce" is what you are locking for.
E.g.:
eq = {x y <= z < 2 x y, y z <= x < 2 y z, z x <= y < 2 z x};
Reduce[eq,{x,y,z}]
gives you several possible solutions, one of which is:
1/2<x<1/Sqrt[2]
1/2<y<=x
x/(2 y)<z< 2 x y

Sincerely, Daniel Huber

azzam_maraee at hotmail.com wrote:
> I need a help at solving Non linear System of inequalities in tree
> variabels or more for example:
> xy<=r<=2xy
> xz<=r<=2xz
> yz<=r<=2yz
> and so on...
> my Non linear System of inequalities  represent the constraints at at
> some problem which I search (consistency of a model).
> 
>   is there any material or sites which may help me?
> I will apreciate any help.
> 


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