# AMPL Model by Hande Y. Benson
#
# Copyright (C) 2001 Princeton University
# All Rights Reserved
#
# Permission to use, copy, modify, and distribute this software and
# its documentation for any purpose and without fee is hereby
# granted, provided that the above copyright notice appear in all
# copies and that the copyright notice and this
# permission notice appear in all supporting documentation.                     

#   Source: Problem 85 (p.35) in
#   A.R. Buckley,
#   "Test functions for unconstrained minimization",
#   TR 1989CS-3, Mathematics, statistics and computing centre,
#   Dalhousie University, Halifax (CDN), 1989.

#   SIF input: Ph. Toint, Dec 1989.

#   classification OUR2-AN-2-0

var x{1..2} := 2.0;
minimize f:
	(x[1]-2)^2 + (x[2]-1)^2 + (1/(1-0.25*x[1]^2-x[2]^2))/25 + 5*(x[1]-2*x[2]+1)^2;

solve; display f; display x;