fermat_socp_eps.gms
* NLP written by GAMS Convert at 11/29/04 16:22:37
*
* Equation counts
* Total E G L N X C
* 4 1 0 3 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 6 6 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 13 7 6 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,objvar;
Equations e1,e2,e3,e4;
e1.. sqrt(2e-8 + sqr(x1) + sqr(x2)) - x3 =L= 0;
e2.. sqrt(2e-8 + sqr((-4) + x1) + sqr(x2)) - x4 =L= 0;
e3.. sqrt(2e-8 + sqr((-2) + x1) + sqr((-4) + x2)) - x5 =L= 0;
e4.. - x3 - x4 - x5 + objvar =E= 0;
* set non default bounds
* set non default levels
x1.l = 1;
* 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;