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NONSCOMP.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME NONSCOMP
* Problem :
* --------
* The extended Rosenbrock function (nonseparable version)
* with bounds such that the strict complementarity condition is
* violated for half of the bounds.
* Source:
* M. Lescrenier,
* "Towards the use of supercomputers for large scale nonlinear
* partially separable optimization",
* PhD Thesis, FUNDP (Namur, B), 1989.
* SIF input: Ph. Toint, May 1990.
* classification SBR2-AN-V-0
* Number of variables
*IE N 25 $-PARAMETER original value
*IE N 50 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 500 $-PARAMETER
*IE N 1000 $-PARAMETER
IE N 5000 $-PARAMETER
*IE N 10000 $-PARAMETER
* other parameter definitions
IE 1 1
IE 2 2
IA N-1 N -1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
XN SQ(1) X(1) 1.0
DO I 2 N
XN SQ(I) X(I) 1.0
XN SQ(I) 'SCALE' 0.25
ND
CONSTANTS
X NONSCOMP SQ(1) 1.0
BOUNDS
XU NONSCOMP 'DEFAULT' 100.0
XL NONSCOMP 'DEFAULT' -100.0
DO I 1 N
DI I 2
XL NONSCOMP X(I) 1.0
ND
START POINT
DO I 1 N
X NONSCOMP X(I) 3.0
ND
ELEMENT TYPE
EV ETYPE V1
ELEMENT USES
DO I 2 N
IA J I -1
XT ELA(I) ETYPE
ZV ELA(I) V1 X(J)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
DO I 2 N
XE SQ(I) ELA(I)
ND
OBJECT BOUND
* Least square problems are bounded below by zero
LO NONSCOMP 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS NONSCOMP
INDIVIDUALS
T ETYPE
F - V1 * V1
G V1 - 2.0 * V1
H V1 V1 - 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS NONSCOMP
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA