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DQDRTIC.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME DQDRTIC
* Problem :
* *********
* A simple diagonal quadratic.
* Source: problem 22 in
* Ph. L. Toint,
* "Test problems for partially separable optimization and results
* for the routine PSPMIN",
* Report 83/4, Department of Mathematics, FUNDP (Namur, B), 1983.
* SIF input: Ph. Toint, Dec 1989.
* classification QUR2-AN-V-0
* N is the number of variables (variable)
*IE N 10 $-PARAMETER original value
*IE N 50 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 500 $-PARAMETER
*IE N 1000 $-PARAMETER
IE N 5000 $-PARAMETER
* Number of groups sets
IA NGS N -2
* Define useful parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 NGS
IA I+1 I 1
IA I+2 I 2
XN A(I) 'SCALE' 0.01
XN A(I) X(I+1) 1.0
XN B(I) 'SCALE' 0.01
XN B(I) X(I+2) 1.0
XN C(I) X(I) 1.0
ND
BOUNDS
FR DQDRTIC 'DEFAULT'
START POINT
XV DQDRTIC 'DEFAULT' 3.0
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
OBJECT BOUND
LO DQDRTIC 0.0
* Solution
*LO SOLTN 0.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS DQDRTIC
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA