* Cute AMPL model  (translation to GAMS)
*
$Set N 3
Set i /i1*i%N%/;

Variable x[i]  ,  obj ;

Equation constr1 ,
         constr2 ,
         Def_obj  ;

constr1.. 3*x['i1'] - 2*sqr(x['i2']) =e= 7;
constr2.. 4*x['i1'] -   sqr(x['i3']) =e= 11;

Def_obj.. obj =e= 4*sqr(x['i1']) +  2*sqr(x['i2']) +  2*sqr(x['i3']) -
                     33*x['i1']  + 16*    x['i2']  - 24*    x['i3']   ;


x.l['i1']  = 0;
x.l['i2']  = 0;
x.l['i3']  = 0;

*printf "optimal solution as starting point \n";
*x.l['i1']  =  5.326770157 ;
*x.l['i2']  = -2.118998639 ;
*x.l['i3']  =  3.210464239 ;


Model hs061  /all/;

Solve hs061 using nlp minimize obj;

display   x.l               ;

obj.l = obj.l  + 143.6461422;
display obj.l               ;