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DIPIGRI.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME DIPIGRI
* Problem :
* *********
* A problem proposed by Di Pillo and Grippo.
* Source:
* G. Di Pillo and L. Grippo,
* "An new augmented Lagrangian function for inequality constraints
* in nonlinear programming problems",
* JOTA, vol. 36, pp. 495-519, 1982.
* SIF input: Ph. Toint, June 1990.
* classification OOR2-AN-7-4
VARIABLES
X1
X2
X3
X4
X5
X6
X7
GROUPS
N OBJ X6 -10.0 X7 -8.0
L C1 X3 1.0 X5 5.0
L C2 X1 7.0 X2 3.0
L C2 X4 1.0 X5 -1.0
L C3 X1 23.0 X7 -8.0
L C4 X6 5.0 X7 -11.0
CONSTANTS
DIPIGRI C1 127.0
DIPIGRI C2 282.0
DIPIGRI C3 196.0
BOUNDS
FR DIPIGRI 'DEFAULT'
START POINT
DIPIGRI X1 1.0
DIPIGRI X2 2.0
DIPIGRI X3 0.0
DIPIGRI X4 4.0
DIPIGRI X5 0.0
DIPIGRI X6 1.0
DIPIGRI X7 1.0
ELEMENT TYPE
EV SSQ X
EP SSQ S
EV P4 X
EV SQ X
EV P6 X
EV OE X Y
EV CE X Y
ELEMENT USES
T O1 SSQ
V O1 X X1
P O1 S 10.0
T O2 SSQ
V O2 X X2
P O2 S 12.0
T O3 P4
V O3 X X3
T O4 SSQ
V O4 X X4
P O4 S 11.0
T O5 P6
V O5 X X5
T O6 OE
V O6 X X6
V O6 Y X7
T C11 SQ
V C11 X X1
T C12 P4
V C12 X X2
T C13 SQ
V C13 X X4
T C21 SQ
V C21 X X3
T C31 SQ
V C31 X X2
T C32 SQ
V C32 X X6
T C41 CE
V C41 X X1
V C41 Y X2
GROUP USES
E OBJ O1 O2 5.0
E OBJ O3 O4 3.0
E OBJ O5 10.0 O6
E C1 C11 2.0 C12 3.0
E C1 C13 4.0
E C2 C21 10.0
E C3 C31 C32 6.0
E C4 C41 C21 2.0
OBJECT BOUND
* Solution
*LO SOLTN 680.630
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS DIPIGRI
INDIVIDUALS
T SSQ
F ( X - S )**2
G X 2.0 * ( X - S )
H X X 2.0
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 OE
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 CE
F 4.0 * X**2 + Y**2 - 3.0 * X * Y
G X 8.0 * X - 3.0 * Y
G Y 2.0 * Y - 3.0 * X
H X X 8.0
H X Y -3.0
H Y Y 2.0
ENDATA