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BOX.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BOX
* Problem :
* *********
* A quartic function with a non-trivial sparsity pattern
* Source:
* N. Gould, private communication.
* SIF input: N. Gould, Jan 2009
* classification OUR2-AN-V-0
* number of variables
*IE N 10 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 1000 $-PARAMETER
IE N 10000 $-PARAMETER original value
*IE N 100000 $-PARAMETER
* other parameter definitions
IE 1 1
IE 2 2
IA N-1 N -1
I/ N/2 N 2
RI RN-1 N-1
RM -RN-1 RN-1 -1.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* objective function
DO I 1 N
XN A(I) X(I) 1.0 X(1) 1.0
XN B(I) X(I) 1.0 X(N) 1.0
XN C(I) X(I) 1.0 X(N/2) 1.0
XN D X(I) -0.5
XN Q(I) X(I) 1.0
OD
BOUNDS
FR BOX 'DEFAULT'
GROUP TYPE
GV SQR V
GV QUARTIC V
GROUP USES
DO I 1 N
XT A(I) SQR
XT B(I) SQR
XT C(I) SQR
XT Q(I) QUARTIC
ND
OBJECT BOUND
XL BOX -RN-1
* Solution
*LO SOLTN ???
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS BOX
TEMPORARIES
R VSQ
INDIVIDUALS
T SQR
F V * V
G V + V
H 2.0
T QUARTIC
A VSQ V * V
F VSQ * VSQ
G 4.0 * V * VSQ
H 12.0 * VSQ
ENDATA