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strict inequalities

• To: mathgroup at smc.vnet.net
• Subject: [mg19557] strict inequalities
• From: Joerg Rudolf Mueller <georgm at uni-koblenz.de>
• Date: Wed, 1 Sep 1999 23:06:58 -0400
• Organization: University of Koblenz, Germany
• Sender: owner-wri-mathgroup at wolfram.com

Hello Mathematica-Users

Is there a possibility to solve a set of (linear)
equations and to find a solution that satisfies certain
strict inequalities (e.g. x<y) AND non-strict
inequalities (e.g. x<=z)?

Is there a possibility to solve an optimization-problem
with strict AND non-strict inequalities?

If you know about Farkas' "alternativ theorems"
- in German we call it "Alternativsitze" - you'll
know that it's necessary to attend the strictness.


"ConstrainedMin/Max" unfortunately doesn't work to my contentedness.
(I need s.th. like ConstrainedMin/Max that doesn't ignore the strictness

of inequalities).

In using "SemialgebraicComponents" (in packet
Algebra`AlgebraicInequalities`)
I can only give strict inequalities - constraints of
the form (x<=z) are not possible here.

With "InequalitySolve" (in packet Algebra`InequalitySolve`)
I can't solve optimization-problems.

best regards, Joerg Mueller.