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HS108.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS108
* Problem :
* *******
* Source: problem 108 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 and Ph. Toint, Apr 1990.
* classification QQR2-AY-9-13
* Number of variables
IE N 9
* Parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective Function
N OBJ
* Constraint function
L C1
L C2
L C3
L C4
L C5
L C6
L C7
L C8
L C9
G C10
G C11
G C12
L C13
CONSTANTS
HS108 C1 1.0
HS108 C2 1.0
HS108 C3 1.0
HS108 C4 1.0
HS108 C5 1.0
HS108 C6 1.0
HS108 C7 1.0
HS108 C8 1.0
HS108 C9 1.0
BOUNDS
FR HS108 'DEFAULT'
LO HS108 X9 0.0
START POINT
XV HS108 'DEFAULT' 1.0
ELEMENT TYPE
EV SQ X
EV 2PR X Y
EV ISQ X Y
IV ISQ U
ELEMENT USES
T OE1 2PR
V OE1 X X1
V OE1 Y X4
T OE2 2PR
V OE2 X X2
V OE2 Y X3
T OE3 2PR
V OE3 X X3
V OE3 Y X9
T OE4 2PR
V OE4 X X5
V OE4 Y X9
T OE5 2PR
V OE5 X X5
V OE5 Y X8
T OE6 2PR
V OE6 X X6
V OE6 Y X7
T CE1 SQ
V CE1 X X3
T CE2 SQ
V CE2 X X4
T CE3 SQ
V CE3 X X5
T CE4 SQ
V CE4 X X6
T CE5 SQ
V CE5 X X9
T CE6 SQ
V CE6 X X1
T CE7 ISQ
V CE7 X X2
V CE7 Y X9
T CE8 ISQ
V CE8 X X1
V CE8 Y X5
T CE9 ISQ
V CE9 X X2
V CE9 Y X6
T CE10 ISQ
V CE10 X X1
V CE10 Y X7
T CE11 ISQ
V CE11 X X2
V CE11 Y X8
T CE12 ISQ
V CE12 X X3
V CE12 Y X5
T CE13 ISQ
V CE13 X X4
V CE13 Y X6
T CE16 ISQ
V CE16 X X3
V CE16 Y X7
T CE17 ISQ
V CE17 X X4
V CE17 Y X8
T CE18 SQ
V CE18 X X7
T CE20 ISQ
V CE20 X X8
V CE20 Y X9
T CE21 2PR
V CE21 X X5
V CE21 Y X8
T CE22 2PR
V CE22 X X6
V CE22 Y X7
T CE23 2PR
V CE23 X X1
V CE23 Y X4
T CE24 2PR
V CE24 X X2
V CE24 Y X3
T CE25 2PR
V CE25 X X5
V CE25 Y X9
T CE26 2PR
V CE26 X X3
V CE26 Y X9
GROUP USES
E OBJ OE1 -0.5 OE2 0.5
E OBJ OE3 -0.5 OE4 0.5
E OBJ OE5 -0.5 OE6 0.5
E C1 CE1 CE2
E C2 CE3 CE4
E C3 CE5
E C4 CE6 CE7
E C5 CE8 CE9
E C6 CE10 CE11
E C7 CE12 CE13
E C8 CE16 CE17
E C9 CE18 CE20
E C10 CE26
E C11 CE21 CE22 -1.0
E C12 CE23 CE24 -1.0
E C13 CE25
OBJECT BOUND
* Solution
*LO SOLTN -0.8660254
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS108
INDIVIDUALS
T 2PR
F X * Y
G X Y
G Y X
H X Y 1.0
T SQ
F X * X
G X X + X
H X X 2.0
T ISQ
R U X 1.0 Y -1.0
F U * U
G U U + U
H U U 2.0
ENDATA