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POWER.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME POWER
* Problem :
* *********
* The Power problem by Oren.
* Source:
* S.S. Oren,
* Self-scaling variable metric algorithms,
* Part II: implementation and experiments"
* Management Science 20(5):863-874, 1974.
* See also Buckley#179 (p. 83)
* SIF input: Ph. Toint, Dec 1989.
* classification OUR2-AN-V-0
* Number of variables
*IE N 10 $-PARAMETER original value
*IE N 20 $-PARAMETER
*IE N 30 $-PARAMETER
*IE N 50 $-PARAMETER
*IE N 75 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 500 $-PARAMETER
*IE N 1000 $-PARAMETER
*IE N 5000 $-PARAMETER
IE N 10000 $-PARAMETER
* Other parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N G
BOUNDS
FR POWER 'DEFAULT'
START POINT
XV POWER 'DEFAULT' 1.0
ELEMENT TYPE
EV SQ X
ELEMENT USES
DO I 1 N
XT E(I) SQ
ZV E(I) X X(I)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
T G L2
DO I 1 N
RI RI I
ZE G E(I) RI
ND
OBJECT BOUND
* Least square problems are bounded below by zero
LO POWER 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS POWER
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS POWER
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA