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HS76.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS76
* Problem :
* *********
* Source: problem 76 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: A.R. Conn, March 1991.
* classification QLR2-AN-4-3
* Number of variables
IE N 4
* Other useful parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective function
N OBJ X1 -1.0 X2 -3.0
N OBJ X3 1.0 X4 -1.0
* Constraints
L C1 X1 1.0 X2 2.0
L C1 X3 1.0 X4 1.0
L C2 X1 3.0 X2 1.0
L C2 X3 2.0 X4 -1.0
G C3 X2 1.0 X3 4.0
CONSTANTS
HS76 C1 5.0
HS76 C2 4.0
HS76 C3 1.5
START POINT
HS76 X1 0.5
HS76 X2 0.5
HS76 X3 0.5
HS76 X4 0.5
ELEMENT TYPE
EV SQ X
EV PROD2 X Y
ELEMENT USES
T E1 SQ
V E1 X X1
T E2 SQ
V E2 X X2
T E3 SQ
V E3 X X3
T E4 SQ
V E4 X X4
T E5 PROD2
V E5 X X1
V E5 Y X3
T E6 PROD2
V E6 X X3
V E6 Y X4
GROUP USES
E OBJ E1 1.0 E2 0.5
E OBJ E3 1.0 E4 0.5
E OBJ E5 -1.0 E6 1.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS76
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T PROD2
F X * Y
G X Y
G Y X
H X Y 1.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS76
* All groups are trivial
ENDATA