Nonlinear Test problem

    {  mhw4d.mpl   }

    {  GAMS Model Library, http://www.gams.com/modlib/libhtml/mhw4d.htm  }

    {  Nonlinear Test Problem,  NLP,  Size: 0x2  }

    {  CONOPT: obj = 27.872,   X(-1.273,..,-1.571) }



TITLE
    Mhw4d;

OPTIONS
    ModelType=Nonlinear
    ParserType=Extended

DATA
    M := 1000;

VARIABLES
    X1 INITIAL -1;
    X2 INITIAL 2;
    X3 INITIAL 1;
    X4 INITIAL -2;
    X5 INITIAL -2;

MODEL

    MIN Obj = (X1-1)^2 + (X1-X2)^2 + (X2-X3)^3 + (X3-X4)^4 + (X4-X5)^4;


SUBJECT TO

    Eq1:   X1 + X2^2 + X3^3 = 3*(2^0.5) + 2;

    Eq2:   X2 - X3^2 + X4 = 2*(2^0.5) - 2;

    Eq3:   X1*X5 = 2;

BOUNDS
    -M <= X1 <= M;
    -M <= X2 <= M;
    -M <= X3 <= M;
    -M <= X4 <= M;
    -M <= X5 <= M;


END