# 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 10 in
#   Ph.L. Toint,
#   "Test problems for partially separable optimization and results
#   for the routine PSPMIN",
#   Report 83/4, Department of Mathematics, FUNDP (Namur, B), 1983.

#   See also Buckley#116.  Note that MGH#21 is the separable version.
#   SIF input: Ph. Toint, Dec 1989.

#   classification SUR2-AN-V-0

param N:=10;
var x{1..N} := 1;

minimize f:
	(x[1]-1)^2 + sum {i in 2..N} 100*(x[i]-x[i-1]^2)^2;

solve; display f; display x;