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## mathopt2.gms:

#### References:

• Mathematica, MathOptimizer - An Advanced Modeling and Optimization System for Mathematica Users. http://www.wolfram.com/products/applications/mathoptimizer/
• Pinter, J D, Global Optimization in Action. Kluwer Acadameic Publishers, Dordrecht/Boston/London, 1996.
• Pinter, J D, Computational Global Optimization in Nonlinear Systems. Lionheart Publishing, Atlanta, GA, 2001.
• Original source: GAMS Model of mathopt2.gms from GAMS Model Library

Point:

* NLP written by GAMS Convert at 04/20/04 14:50:36 * * Equation counts * Total E G L N X C * 5 3 0 2 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 3 3 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 11 7 4 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,objvar; Equations e1,e2,e3,e4,e5; e1.. - (sqr(2*sqr(x1) - x2) + sqr(x2 - 6*sqr(x1))) + objvar =E= 0; e2.. x1 - (x1*x2 + 10*x2) =E= 0; e3.. x1 - 3*x2 =E= 0; e4.. x1 + x2 =L= 1; e5.. - x1 + x2 =L= 2; * set non default bounds * set non default levels x1.l = 10; x2.l = -10; * set non default marginals Model m / all /; m.limrow=0; m.limcol=0; \$if NOT '%gams.u1%' == '' \$include '%gams.u1%' Solve m using NLP minimizing objvar;