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HS65.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS65
* Problem:
* ********
* Source: problem 65 in
* W. Hock and K. Schittkowski,
* "Test examples for nonlinear programming codes",
* Lectures Notes in Economics and Mathematical Systems 187, Springer
* Verlag, Heidelberg, 1981.
* SIF input: Ph. Toint and Nick Gould, June 1991.
* classification QQR2-AN-3-1
VARIABLES
X1
X2
X3
GROUPS
N OBJ1 X1 1.0
N OBJ1 X2 -1.0
N OBJ2 X1 1.0
N OBJ2 X2 1.0
N OBJ2 'SCALE' 9.0
N OBJ3 X3 1.0
G C1
CONSTANTS
HS65 OBJ2 10.0
HS65 OBJ3 5.0
HS65 C1 -48.0
BOUNDS
LO HS65 X1 -4.5
UP HS65 X1 4.5
LO HS65 X2 -4.5
UP HS65 X2 4.5
LO HS65 X3 -5.0
UP HS65 X3 5.0
START POINT
HS65 X1 -5.0
HS65 X2 5.0
HS65 X3 0.0
ELEMENT TYPE
EV SQ X
ELEMENT USES
XT 'DEFAULT' SQ
V E1 X X1
V E2 X X2
V E3 X X3
GROUP TYPE
GV L2 ALPHA
GROUP USES
T OBJ1 L2
T OBJ2 L2
T OBJ3 L2
E C1 E1 -1.0 E2 -1.0
E C1 E3 -1.0
OBJECT BOUND
* Solution
*LO SOLTN 0.9535288567
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS65
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS65
INDIVIDUALS
T L2
F ALPHA * ALPHA
G ALPHA + ALPHA
H 2.0
ENDATA