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HS100MOD.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS100MOD
* Problem :
* *********
* Source: a modification by Ph. Toint of problem 100 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: Ph. Toint, April 1991.
* classification OOR2-AN-7-4
IE 1 1
IE 7 7
VARIABLES
DO I 1 7
X X(I)
ND
GROUPS
N O1 X1 1.0
N O2 X2 1.0
N O2 'SCALE' 0.2
N O4 X4 1.0
N O4 'SCALE' 0.33333333333
N O5 X6 -10.0 X7 -8.0
G C1 X3 -1.0 X5 -5.0
G C2 X1 -7.0 X2 -3.0
G C2 X4 -1.0 X5 1.0
G C3 X1 -23.0 X7 8.0
G C4 X7 11.0 X4 587.0
G C4 X5 391.0 X6 2193.0
CONSTANTS
X HS100MOD O1 10.0
X HS100MOD O2 12.0
X HS100MOD O4 11.0
X HS100MOD C1 -127.0
X HS100MOD C2 -282.0
X HS100MOD C3 -196.0
BOUNDS
FR HS100MOD 'DEFAULT'
START POINT
XV HS100MOD X1 1.0
XV HS100MOD X2 2.0
XV HS100MOD X3 0.0
XV HS100MOD X4 4.0
XV HS100MOD X5 0.0
XV HS100MOD X6 1.0
XV HS100MOD X7 1.0
ELEMENT TYPE
EV ELT X Y
EV SQ X
EV P4 X
EV P6 X
EV 2PR X Y
ELEMENT USES
T X5P6 P6
ZV X5P6 X X5
T EL ELT
ZV EL X X6
ZV EL Y X7
T X1SQ SQ
ZV X1SQ X X1
T X2SQ SQ
ZV X2SQ X X2
T X3SQ SQ
ZV X3SQ X X3
T X4SQ SQ
ZV X4SQ X X4
T X6SQ SQ
ZV X6SQ X X6
T X2P4 P4
ZV X2P4 X X2
T X3P4 P4
ZV X3P4 X X3
T X1X2 2PR
ZV X1X2 X X1
ZV X1X2 Y X2
GROUP TYPE
GV L2 GVAR
GROUP USES
T O1 L2
T O2 L2
T O4 L2
E O5 X5P6 10.0 EL
E O5 X3P4
E C1 X1SQ -2.0 X2P4 -3.0
E C1 X4SQ -4.0
E C2 X3SQ -10.0
E C3 X2SQ -1.0 X6SQ -6.0
E C4 X1SQ -4.0 X2SQ -1.0
E C4 X1X2 3.0 X3SQ -2.0
OBJECT BOUND
* Solution
*LO SOLTN 678.679637889
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS100MOD
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T P4
F X**4
G X 4.0 * X**3
H X X 12.0 * X**2
T P6
F X**6
G X 6.0 * X**5
H X X 30.0 * X**4
T ELT
F 7.0 * X**2 + Y**4 - 4.0 * X * Y
G X 14.0 * X - 4.0 * Y
G Y 4.0 * Y**3 - 4.0 * X
H X X 14.0
H X Y -4.0
H Y Y 12.0 * Y**2
T 2PR
F X * Y
G X Y
G Y X
H X Y 1.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS100MOD
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA