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LUKVLE2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME LUKVLE2
* Problem :
* *********
* Source: Problem 5.2, the chained Wood function with
* Broyden banded constraints, due to L. Luksan and J. Vlcek,
* "Sparse and partially separable test problems for
* unconstrained and equality constrained optimization",
* Technical Report 767, Inst. Computer Science, Academy of Sciences
* of the Czech Republic, 182 07 Prague, Czech Republic, 1999
* SIF input: Nick Gould, April 2001
* classification OOR2-AY-V-V
* some useful parameters, including N, the number of variables.
*IE N 100 $-PARAMETER
*IE N 1000 $-PARAMETER
IE N 10000 $-PARAMETER
*IE N 100000 $-PARAMETER
* other useful parameters
IE 0 0
IE 1 1
IE 2 2
IE 6 6
IE 7 7
I/ N/2 N 2
IA N/2-1 N/2 -1
IA N-1 N -1
IA N-2 N -2
RE 1.0 1.0
RE 90.0 90.0
R/ 1/90 1.0 90.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 N/2-1
IM 2I I 2
IA 2I-1 2I -1
IA 2I+1 2I 1
IA 2I+2 2I 2
XN A(I) X(2I) -1.0
XN A(I) 'SCALE' 0.01
XN B(I) X(2I-1) 1.0
XN C(I) X(2I+2) -1.0
ZN C(I) 'SCALE' 1/90
XN D(I) X(2I+1) -1.0
XN E(I) X(2I) 1.0 X(2I+2) 1.0
XN E(I) 'SCALE' 0.1
XN F(I) X(2I) 1.0 X(2I-1) -1.0
XN F(I) 'SCALE' 10.0
ND
DO K 6 N-2
IA K+1 K 1
IA K-5 K -5
XE C(K) X(K) 2.0
DO I K-5 K+1
XE C(K) X(I) 1.0
ND
CONSTANTS
DO I 1 N/2-1
X RHS B(I) 1.0
X RHS D(I) 1.0
X RHS E(I) 2.0
ND
DO K 6 N-2
X RHS C(K) -1.0
ND
BOUNDS
FR BND 'DEFAULT'
START POINT
DO I 1 N
DI I 2
XV LUKVLE1 X(I) -2.0
ND
DO I 2 N
DI I 2
XV LUKVLE1 X(I) 1.0
ND
ELEMENT TYPE
EV SQR V
EV CUBE V
ELEMENT USES
DO I 1 N/2-1
IM 2I I 2
IA 2I-1 2I -1
IA 2I+1 2I 1
XT A(I) SQR
ZV A(I) V X(2I-1)
XT C(I) SQR
ZV C(I) V X(2I+1)
ND
DO K 6 N-2
XT U(K) CUBE
ZV U(K) V X(K)
ND
DO K 1 N-1
XT S(K) SQR
ZV S(K) V X(K)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
DO I 1 N/2-1
XT A(I) L2
XE A(I) A(I)
XT B(I) L2
XT C(I) L2
XE C(I) C(I)
XT D(I) L2
XT E(I) L2
XT F(I) L2
ND
DO K 6 N-2
IA K+1 K 1
IA K-5 K -5
XE C(K) U(K) 5.0
DO I K-5 K+1
XE C(K) S(I) 1.0
ND
OBJECT BOUND
LO LUKVLE2 0.0
* Solution
*LO SOLTN 2.61332E+04
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS LUKVLE2
INDIVIDUALS
T SQR
F V * V
G V 2.0 * V
H V V 2.0
T CUBE
F V ** 3
G V 3.0 * V ** 2
H V V 6.0 * V
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS LUKVLE2
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA