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HS25.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS25
* Problem :
* *********
* A nonlinear least squares problem with bounds.
* Source: problem 25 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, Mar 1990.
* classification SBR2-AN-3-0
* Number of variables
IE N 3
* Parameters
IE 1 1
IE 99 99
RE 2/3 0.66666666666
VARIABLES
X1
X2
X3
GROUPS
DO I 1 99
XN O(I)
ND
CONSTANTS
DO I 1 99
RI IR I
RM I/100 IR 0.01
Z HS25 O(I) I/100
ND
BOUNDS
LO HS25 X1 0.1
UP HS25 X1 100.0
LO HS25 X2 0.0
UP HS25 X2 25.6
LO HS25 X3 0.0
UP HS25 X3 5.0
START POINT
HS25 X1 100.0
HS25 X2 12.5
HS25 X3 3.0
ELEMENT TYPE
EV WFI X Y
EV WFI Z
EP WFI W
ELEMENT USES
DO I 1 99
RI IR I
RM I/100 IR 0.01
R( LOG01I LOG I/100
RM M50LOG LOG01I -50.0
R( EXPLOG LOG M50LOG
R* EXPL2/3 EXPLOG 2/3
R( EXP2/3 EXP EXPL2/3
RA UI EXP2/3 25.0
XT E(I) WFI
ZV E(I) X X1
ZV E(I) Y X2
ZV E(I) Z X3
ZP E(I) W UI
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
DO I 1 99
XE O(I) E(I)
ND
OBJECT BOUND
LO HS25 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS25
TEMPORARIES
R EXPO
R WMY
R WMYEZ
R LWMY
R XI
R X2I
R X3I
M LOG
M EXP
INDIVIDUALS
T WFI
A XI 1.0 / X
A X2I XI * XI
A X3I X2I * XI
A WMY W - Y
A WMYEZ WMY**Z
A LWMY LOG( WMY )
A EXPO EXP( - XI * WMYEZ )
F EXPO
G X X2I * WMYEZ * EXPO
G Y XI * Z * WMY**(Z-1.0) * EXPO
G Z - XI * LWMY * WMYEZ * EXPO
H X X EXPO * WMYEZ * X3I *
H+ ( -2.0 + XI * WMY ** Z )
H X Y EXPO * Z * X2I * WMY**(Z - 1.0) *
H+ ( - 1.0 + XI * WMYEZ )
H X Z EXPO * X2I * WMYEZ * LWMY *
H+ ( 1.0 - XI * WMYEZ )
H Y Y EXPO * XI * WMY**(Z - 2.0) * Z *
H+ ( - Z + 1.0 + XI * Z * WMYEZ )
H Y Z EXPO * XI * WMY**(Z - 1.0) *
H+ ( 1.0 + Z * LWMY * (1.0 - XI * WMYEZ ))
H Z Z EXPO * WMYEZ * XI * LWMY**2 *
H+ ( - 1.0 + XI * WMYEZ )
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS25
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA