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ERRINROS.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME ERRINROS
* Problem :
* --------
* A nonlinear function similar to the chained Rosenbrock
* problem CHNROSNB.
* Source:
* An error in specifying problem CHNROSNB.
* SIF input: Ph. Toint, Sept 1990.
* classification SUR2-AN-V-0
* Number of variables (at most 50)
*IE N 10 $-PARAMETER
*IE N 25 $-PARAMETER
IE N 50 $-PARAMETER
* Problem data
RE ALPH1 1.25
RE ALPH2 1.40
RE ALPH3 2.40
RE ALPH4 1.40
RE ALPH5 1.75
RE ALPH6 1.20
RE ALPH7 2.25
RE ALPH8 1.20
RE ALPH9 1.00
RE ALPH10 1.10
RE ALPH11 1.50
RE ALPH12 1.60
RE ALPH13 1.25
RE ALPH14 1.25
RE ALPH15 1.20
RE ALPH16 1.20
RE ALPH17 1.40
RE ALPH18 0.50
RE ALPH19 0.50
RE ALPH20 1.25
RE ALPH21 1.80
RE ALPH22 0.75
RE ALPH23 1.25
RE ALPH24 1.40
RE ALPH25 1.60
RE ALPH26 2.00
RE ALPH27 1.00
RE ALPH28 1.60
RE ALPH29 1.25
RE ALPH30 2.75
RE ALPH31 1.25
RE ALPH32 1.25
RE ALPH33 1.25
RE ALPH34 3.00
RE ALPH35 1.50
RE ALPH36 2.00
RE ALPH37 1.25
RE ALPH38 1.40
RE ALPH39 1.80
RE ALPH40 1.50
RE ALPH41 2.20
RE ALPH42 1.40
RE ALPH43 1.50
RE ALPH44 1.25
RE ALPH45 2.00
RE ALPH46 1.50
RE ALPH47 1.25
RE ALPH48 1.40
RE ALPH49 0.60
RE ALPH50 1.50
* other parameter definitions
IE 1 1
IE 2 2
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 2 N
IA I-1 I -1
XN SQ(I) X(I-1) 1.0
XN B(I) X(I) 1.0
ND
CONSTANTS
DO I 2 N
X ERRINROS B(I) 1.0
ND
BOUNDS
FR ERRINROS 'DEFAULT'
START POINT
DO I 1 N
X ERRINROS X(I) -1.0
ND
ELEMENT TYPE
EV ETYPE V1
ELEMENT USES
XT 'DEFAULT' ETYPE
DO I 2 N
ZV ELA(I) V1 X(I)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
DO I 2 N
A* AI2 ALPH(I) ALPH(I)
RM AI AI2 16.0
ZE SQ(I) ELA(I) AI
ND
OBJECT BOUND
LO ERRINROS 0.0
* Solution
*LO SOLTN(10) 6.69463214
*LO SOLTN(25) 18.4609060
*LO SOLTN(50) 39.9041540
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS ERRINROS
INDIVIDUALS
T ETYPE
F - V1 ** 2
G V1 - 2.0 * V1
H V1 V1 - 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS ERRINROS
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA