* Test problem 10.2.3 in the web page
* Test problem 10.3.3 in test problem collection
* Test problem from Pang and Gabriel 1993
* This Test problem has multiple degenerate solutions

PARAMETER beta;

beta = 0.5;

POSITIVE VARIABLES x1,x2,x3,x4;
EQUATIONS f1, f2, f3, f4;

f1.. -x1 + x2 + x3 =g= 0;
f2..  x4*x1 - 0.75*(x2 + beta*x3) =g= 0;
f3..  x2 - x4*x2 - 0.25*(1 + beta*x3) =g= 0;
f4..  beta - x4 =g= 0;

MODEL DIRKSE /f1.x4, f2.x1, f3.x2, f4.x3/;

x1.l = 1.0;
x2.l = 1.0;
x3.l = 1.0;
x4.l = 1.0;

SOLVE DIRKSE using mcp;