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MathGroup Archive 2003

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Re: Solving a system of Inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39779] Re: [mg39764] Solving a system of Inequalities
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Fri, 7 Mar 2003 03:31:04 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Mathematica has in fact a very rich collection of functions for solving 
algebraic inequalities, but your message makes me doubt that that the 
kind of solution you seem to expect to get for your system is actually 
possible. You say that "InequalitySolve gives me a solution that is 
more complicated than the problem itself". Actually InequalitySolve 
represents the solution of a system in cylindrical form, which is 
usually the most convenient for further processing. In general there is 
nothing simpler available, although in special cases humans rather than 
computer can find simpler representations. To decide if your case is 
one of these one would have either to see the full problem or at least 
a toy problem with the same sort of structure.

Andrzej Kozlowski
Yokohama, Japan
http://www.mimuw.edu.pl/~akoz/
http://platon.c.u-tokyo.ac.jp/andrzej/


On Thursday, March 6, 2003, at 04:36  pm, Christina Chan wrote:

> Hi,
> I have 192 linear inequalities containing 28 variables and I want to 
> find the constraints for each of the variables. I am thinking about 
> solving the system by eiliminating the variables one by one (similar 
> to the Gaussian Elimination). Is there a way I can do it with 
> Mathematica? The function InequalitySolve gives me a solution that is 
> more complicated than the problem itself.Is there any other functions 
> that might help? Thank you!!
>
> Christina
>
>
>




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