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LUKVLI10.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME LUKVLI10
* Problem :
* *********
* Source: Problem 5.10, the generalized Brown function with
* Broyden tridiagonal 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
* Equality constraints changed to inequalities
* SIF input: Nick Gould, April 2001
* classification OQR2-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 1 1
IE 2 2
I/ N/2 N 2
IA N-2 N -2
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 N/2
XN OBJ1(I)
XN OBJ2(I)
ND
DO K 1 N-2
IA K+1 K 1
IA K+2 K 2
XL C(K) X(K+1) 3.0 X(K) -1.0
XL C(K) X(K+2) -2.0
ND
CONSTANTS
DO K 1 N-2
X RHS C(K) -1.0
ND
BOUNDS
FR BND 'DEFAULT'
START POINT
DO I 1 N
DI I 2
XV LUKVLI10 X(I) -1.0
ND
DO I 2 N
DI I 2
XV LUKVLI10 X(I) 1.0
ND
ELEMENT TYPE
EV SQR V
EV NASTY X Y
ELEMENT USES
DO I 1 N/2
IM 2I I 2
IA 2I-1 2I -1
XT OBJ1(I) NASTY
ZV OBJ1(I) X X(2I-1)
ZV OBJ1(I) Y X(2I)
XT OBJ2(I) NASTY
ZV OBJ2(I) X X(2I)
ZV OBJ2(I) Y X(2I-1)
ND
DO K 1 N-2
IA K+1 K 1
XT C(K) SQR
ZV C(K) V X(K+1)
ND
GROUP USES
DO I 1 N/2
XE OBJ1(I) OBJ1(I)
XE OBJ2(I) OBJ2(I)
ND
DO K 1 N-2
XE C(K) C(K) -2.0
ND
OBJECT BOUND
LO LUKVLI10 0.0
* Solution
*LO SOLTN 3.53122E+02
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS LUKVLI10
TEMPORARIES
M LOG
R XX
R YYP1
R F
R FX
R FY
R FXDOT
R FYDOT
R TERM
R TLOGXX
INDIVIDUALS
T SQR
F V * V
G V 2.0 * V
H V V 2.0
T NASTY
A XX X * X
A YYP1 Y * Y + 1.0
A F XX ** YYP1
A TLOGXX 2.0 * LOG( XX )
A FX 2.0 * YYP1 / X
A FY TLOGXX * Y
A FXDOT F * FX
A FYDOT F * FY
F F
G X FXDOT
G Y FYDOT
H X X FXDOT * FX - 2.0 * F * YYP1 / XX
H X Y FYDOT * FX + 4.0 * F * Y / X
H Y Y FYDOT * FY + F * TLOGXX
H+
ENDATA