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LUKVLE11.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME LUKVLE11
* Problem :
* *********
* Source: Problem 5.11, the chained HS46 problem,
* 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 98 $-PARAMETER
*IE N 998 $-PARAMETER
IE N 9998 $-PARAMETER
*IE N 99998 $-PARAMETER
* other useful parameters
IE 1 1
IE 2 2
IE 3 3
IE 4 4
IE 5 5
IA N-2 N -2
I/ (N-2)/3 N-2 3
I* NC 2 (N-2)/3
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 (N-2)/3
IA I-1 I -1
I* J 3 I-1
IA J+1 J 1
IA J+2 J 2
IA J+3 J 3
IA J+4 J 4
IA J+5 J 5
XN OBJ1(I) X(J+1) 1.0 X(J+2) -1.0
XN OBJ2(I) X(J+3) 1.0
XN OBJ3(I) X(J+4) 1.0
XN OBJ4(I) X(J+5) 1.0
ND
DO K 1 NC
DI K 2
IA K+1 K 1
XE C(K)
XE C(K+1) X(K+1) 1.0
ND
CONSTANTS
DO I 1 (N-2)/3
X RHS OBJ2(I) 1.0
X RHS OBJ3(I) 1.0
X RHS OBJ4(I) 1.0
ND
DO K 1 NC
DI K 2
IA K+1 K 1
X RHS C(K) 1.0
X RHS C(K+1) 2.0
ND
BOUNDS
FR BND 'DEFAULT'
START POINT
DO I 1 N
DI I 3
XV LUKVLE11 X(I) 2.0
ND
DO I 2 N
DI I 3
XV LUKVLE11 X(I) 1.5
ND
DO I 3 N
DI I 3
XV LUKVLE11 X(I) 0.5
ND
ELEMENT TYPE
EV C21 V W
EV S V W
IV S D
EV C42 V W
ELEMENT USES
DO K 1 NC
DI K 2
IA K+1 K 1
IA K+2 K 2
IA K+3 K 3
IA K+4 K 4
XT EA(K) C21
ZV EA(K) V X(K)
ZV EA(K) W X(K+3)
XT EB(K) S
ZV EB(K) V X(K+3)
ZV EB(K) W X(K+4)
XT E(K+1) C21
ZV E(K+1) V X(K+2)
ZV E(K+1) W X(K+3)
ND
GROUP TYPE
GV L2 ALPHA
GV L4 ALPHA
GV L6 ALPHA
GROUP USES
DO I 1 (N-2)/3
XT OBJ1(I) L2
XT OBJ2(I) L2
XT OBJ3(I) L4
XT OBJ4(I) L6
ND
DO K 1 NC
DI K 2
IA K+1 K 1
XE C(K) EA(K) EB(K)
XE C(K+1) E(K+1)
ND
OBJECT BOUND
LO LUKVLE11 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS LUKVLE11
TEMPORARIES
M SIN
M COS
R SIND
INDIVIDUALS
T C21
F V * V * W
G V 2.0 * V * W
G W V * V
H V V 2.0 * W
H V W 2.0 * V
T S
R D V 1.0 W -1.0
A SIND SIN( D )
F SIND
G D COS( D )
H D D - SIND
T C42
F V ** 4 * W ** 2
G V 4.0 * V ** 3 * W ** 2
G W 2.0 * V ** 4 * W
H V V 12.0 * V ** 2 * W ** 2
H V W 8.0 * V ** 3 * W
H W W 2.0 * V ** 4
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS LUKVLE11
INDIVIDUALS
T L2
F ALPHA * ALPHA
G ALPHA + ALPHA
H 2.0
T L4
F ALPHA ** 4
G 4.0 * ALPHA ** 3
H 12.0 * ALPHA ** 2
T L6
F ALPHA ** 6
G 6.0 * ALPHA ** 5
H 30.0 * ALPHA ** 4
ENDATA