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ERRINRSM.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME ERRINRSM
* Problem :
* --------
* A variable dimension version of an incorrect version of the
* chained Rosenbrock function (ERRINROS) by Luksan et al.
* Source: problem 28 in
* L. Luksan, C. Matonoha and J. Vlcek
* Modified CUTE problems for sparse unconstraoined optimization
* Technical Report 1081
* Institute of Computer Science
* Academy of Science of the Czech Republic
* SIF input: Ph. Toint, Sept 1990.
* this version Nick Gould, June, 2013
* classification SUR2-AN-V-0
* Number of variables (at most 50)
*IE N 10 $-PARAMETER
*IE N 25 $-PARAMETER
IE N 50 $-PARAMETER
* 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 ERRINRSM B(I) 1.0
ND
BOUNDS
FR ERRINRSM 'DEFAULT'
START POINT
DO I 1 N
X ERRINRSM 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
RI RI I
R( SINI SIN RI
RA ALPHA SINI 1.5
R* AI2 ALPHA ALPHA
RM AI AI2 16.0
ZE SQ(I) ELA(I) AI
ND
OBJECT BOUND
LO ERRINRSM 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 ERRINRSM
INDIVIDUALS
T ETYPE
F - V1 ** 2
G V1 - 2.0 * V1
H V1 V1 - 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS ERRINRSM
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA