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HS78.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS78
* Problem :
* *******
* Source: problem 78 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: B.Debarsy, Jan 1990.
* classification OOR2-AN-5-3
* Number of variables
IE N 5
* Other useful parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective function
N OBJ
* Constraint functions
E C1
E C2
E C3
CONSTANTS
HS78 C1 10.0
HS78 C3 -1.0
BOUNDS
FR HS78 'DEFAULT'
START POINT
HS78 X1 -2.0
HS78 X2 1.5
HS78 X3 2.0
HS78 X4 -1.0
HS78 X5 -1.0
ELEMENT TYPE
EV 5PR V1 V2
EV 5PR V3 V4
EV 5PR V5
EV CB X
EV SQ X
EV 2PR X Y
ELEMENT USES
T OBJ1 5PR
V OBJ1 V1 X1
V OBJ1 V2 X2
V OBJ1 V3 X3
V OBJ1 V4 X4
V OBJ1 V5 X5
DO I 1 N
XT E(I) SQ
ZV E(I) X X(I)
ND
T E6 2PR
V E6 X X2
V E6 Y X3
T E7 2PR
V E7 X X4
V E7 Y X5
T E8 CB
V E8 X X1
T E9 CB
V E9 X X2
GROUP USES
E OBJ OBJ1
E C1 E1 E2
E C1 E3 E4
E C1 E5
E C2 E6 E7 -5.0
E C3 E8 E9
OBJECT BOUND
* Solution
*LO SOLTN -2.91970041
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS78
INDIVIDUALS
* Product
T 5PR
F V1 * V2 * V3 * V4 * V5
G V1 V2 * V3 * V4 * V5
G V2 V1 * V3 * V4 * V5
G V3 V1 * V2 * V4 * V5
G V4 V1 * V2 * V3 * V5
G V5 V1 * V2 * V3 * V4
H V1 V2 V3 * V4 * V5
H V1 V3 V2 * V4 * V5
H V1 V4 V2 * V3 * V5
H V1 V5 V2 * V3 * V4
H V2 V3 V1 * V4 * V5
H V2 V4 V1 * V3 * V5
H V2 V5 V1 * V3 * V4
H V3 V4 V1 * V2 * V5
H V3 V5 V1 * V2 * V4
H V4 V5 V1 * V2 * V3
* Cube
T CB
F X**3
G X 3.0 * X**2
H X X 6.0 * X
* Square
T SQ
F X * X
G X X + X
H X X 2.0
* Product of 2 variables
T 2PR
F X * Y
G X Y
G Y X
H X Y 1.0
ENDATA