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HS62.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS62
* Problem :
* *********
* Source: problem 62 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, April 1990.
* classification OLR2-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 X2 1.0
E C1 X3 1.0
CONSTANTS
HS62 C1 1.0
BOUNDS
DO I 1 N
XL HS62 X(I) 0.0
XU HS62 X(I) 1.0
ND
START POINT
HS62 X1 0.7
HS62 X2 0.2
HS62 X3 0.1
ELEMENT TYPE
EV LN3N X Y
EV LN3N Z
IV LN3N U
EV LN3D X Y
EV LN3D Z
IV LN3D U
EV LN2N X Y
IV LN2N U
EV LN2D X Y
IV LN2D U
EV LN1N X
EV LN1D X
ELEMENT USES
T OE1N LN3N
V OE1N X X1
V OE1N Y X2
V OE1N Z X3
T OE1D LN3D
V OE1D X X1
V OE1D Y X2
V OE1D Z X3
T OE2N LN2N
V OE2N X X2
V OE2N Y X3
T OE2D LN2D
V OE2D X X2
V OE2D Y X3
T OE3N LN1N
V OE3N X X3
T OE3D LN1D
V OE3D X X3
GROUP USES
XE OBJ OE1N -8204.37 OE1D 8204.37
XE OBJ OE2N -9008.72 OE2D 9008.72
XE OBJ OE3N -9330.46 OE3D 9330.46
OBJECT BOUND
* Solution
*LO SOLTN -26272.514
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS62
TEMPORARIES
R NUM
M LOG
INDIVIDUALS
T LN3N
R U X 1.0 Y 1.0
R U Z 1.0
A NUM U + 0.03
F LOG( NUM )
G U 1.0 / NUM
H U U -1.0 / NUM**2
T LN3D
R U X 0.09 Y 1.0
R U Z 1.0
A NUM U + 0.03
F LOG( NUM )
G U 1.0 / NUM
H U U -1.0 / NUM**2
T LN2N
R U X 1.0 Y 1.0
A NUM U + 0.03
F LOG( NUM )
G U 1.0 / NUM
H U U -1.0 / NUM**2
T LN2D
R U X 0.07 Y 1.0
A NUM U + 0.03
F LOG( NUM )
G U 1.0 / NUM
H U U -1.0 / NUM**2
T LN1N
A NUM X + 0.03
F LOG( NUM )
G X 1.0 / NUM
H X X -1.0 / NUM**2
T LN1D
A NUM 0.13 * X + 0.03
F LOG( NUM )
G X 0.13 / NUM
H X X -0.0169 / NUM**2
ENDATA