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ARGLINA.SIF
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ARGLINA.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME ARGLINA
* Problem :
* *********
* Variable dimension full rank linear problem
* Source: Problem 32 in
* J.J. More', B.S. Garbow and K.E. Hillstrom,
* "Testing Unconstrained Optimization Software",
* ACM Transactions on Mathematical Software, vol. 7(1), pp. 17-41, 1981.
* See also Buckley#80 (with different N and M)
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-AN-V-0
* This problem is a linear least squares
* N is the number of free variables
* M is the number of equations ( M.ge.N)
*IE N 10 $-PARAMETER
*IE N 50 $-PARAMETER
*IE N 100 $-PARAMETER
IE N 200 $-PARAMETER
*IE M 20 $-PARAMETER .ge. N
*IE M 100 $-PARAMETER .ge. N
*IE M 200 $-PARAMETER .ge. N
IE M 400 $-PARAMETER .ge. N
* Define useful parameters
IE 1 1
RE -2.0 -2.0
IA N+1 N 1
RI RM M
R/ -2/M -2.0 RM
RA 1-2/M -2/M 1.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 N
IA I-1 I -1
IA I+1 I 1
DO J 1 I-1
ZN G(I) X(J) -2/M
OD J
ZN G(I) X(I) 1-2/M
DO J I+1 N
ZN G(I) X(J) -2/M
ND
DO I N+1 M
DO J 1 N
ZN G(I) X(J) -2/M
ND
CONSTANTS
X ARGLINA 'DEFAULT' 1.0
BOUNDS
FR ARGLINA 'DEFAULT'
START POINT
XV ARGLINA 'DEFAULT' 1.0
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS ARGLINA
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA