* System of nonlinear equations * Bullard and Biegler (1991) * 1 known solution VARIABLES x1 x2 s objval objective function variable; FREE VARIABLES objval; EQUATIONS f Objective function h1p h1m h2p h2m ; f .. objval =e=s; h1p .. -s + 10000 * x1 * x2 =l= 1; h1m .. -s - 10000 * x1 * x2 =l= -1; h2p .. -s + EXP(-x1) + EXP(-x2) =l= 1.001; h2m .. -s - EXP(-x1) - EXP(-x2) =l= -1.001; * Bounds x1.LO = 5.49e-06; x1.UP = 4.553; x2.LO = 0.0021961; x2.UP = 18.21; MODEL test /ALL/; SOLVE test USING NLP MINIMIZING objval;