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CUBE.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME CUBE
* Problem :
* *********
* A cubic variant of the Rosenbrock test function.
* Source: problem 5 (p. 89) in
* A.R. Buckley,
* "Test functions for unconstrained minimization",
* TR 1989CS-3, Mathematics, statistics and computing centre,
* Dalhousie University, Halifax (CDN), 1989.
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-AN-2-0
* dimension
IE N 2
* other parameter definitions
IE 1 1
IE 2 2
IA N-1 N -1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
XN SQ(1) X(1) 1.0
DO I 2 N
XN SQ(I) 'SCALE' 0.01
XN SQ(I) X(I) 1.0
ND
CONSTANTS
CUBE SQ1 1.0
BOUNDS
FR CUBE 'DEFAULT'
START POINT
CUBE X1 -1.2
CUBE X2 1.0
ELEMENT TYPE
EV ETYPE V1
ELEMENT USES
XT 'DEFAULT' ETYPE
DO I 2 N
IA I-1 I -1
ZV ELA(I) V1 X(I-1)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
DO I 2 N
XE SQ(I) ELA(I)
ND
OBJECT BOUND
LO CUBE 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS CUBE
INDIVIDUALS
T ETYPE
F - V1 ** 3
G V1 - 3.0 * V1 ** 2
H V1 V1 - 6.0 * V1
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS CUBE
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA