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.