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HS60.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS60
* Problem :
* *********
* Source: problem 60 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: J-M Collin, April 1990.
* classification OOR2-AY-3-1
* Number of variables
IE N 3
* Other useful parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
E C1 X1 1.0
CONSTANTS
HS60 C1 8.242640687
BOUNDS
XU HS60 'DEFAULT' 10.0
XL HS60 'DEFAULT' -10.0
START POINT
XV HS60 'DEFAULT' 2.0
ELEMENT TYPE
EV S2V X Y
IV S2V T
EV P2V X Y
IV P2V T
EV PS1VP X
EP PS1VP A
EV XF X
EV PXY X Y
ELEMENT USES
T E1 PS1VP
V E1 X X1
P E1 A 1.0
T E2 S2V
V E2 X X1
V E2 Y X2
T E3 P2V
V E3 X X2
V E3 Y X3
T E4 XF
V E4 X X3
T E5 PXY
V E5 X X1
V E5 Y X2
GROUP USES
XE OBJ E1 E2
XE OBJ E3
XE C1 E4 E5
OBJECT BOUND
LO HS60 0.0
* Solution
*LO SOLTN 0.0325682
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS60
INDIVIDUALS
T S2V
R T X 1.0 Y -1.0
F T * T
G T T + T
H T T 2.0
T P2V
R T X 1.0 Y -1.0
F T**4
G T 4.0 * T**3
H T T 12.0 * T * T
T PS1VP
F ( X - A )**2
G X 2.0 * ( X - A )
H X X 2.0
T XF
F X**4
G X 4.0 * X**3
H X X 12.0 * X * X
T PXY
F X * Y**2
G X Y**2
G Y 2.0 * X * Y
H X Y 2.0 * Y
H Y Y 2.0 * X
ENDATA