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MAKELA3.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME MAKELA3
* Problem :
* *********
* A nonlinear minmax problem in twenty variables.
* Source:
* M.M. Makela,
* "Nonsmooth optimization",
* Ph.D. thesis, Jyvaskyla University, 1990
* SIF input: Ph. Toint, Nov 1993.
* classification LQR2-AN-21-20
IE 1 1
IE 20 20
VARIABLES
DO I 1 20
X X(I)
OD I
U
GROUPS
XN OBJ U 1.0
DO I 1 20
XL F(I) U -1.0
OD I
BOUNDS
* All variables are free
FR MAKELA3 'DEFAULT'
START POINT
MAKELA3 X1 1.0
MAKELA3 X2 2.0
MAKELA3 X3 3.0
MAKELA3 X4 4.0
MAKELA3 X5 5.0
MAKELA3 X6 6.0
MAKELA3 X7 7.0
MAKELA3 X8 8.0
MAKELA3 X9 9.0
MAKELA3 X10 10.0
MAKELA3 X11 -11.0
MAKELA3 X12 -12.0
MAKELA3 X13 -13.0
MAKELA3 X14 -14.0
MAKELA3 X15 -15.0
MAKELA3 X16 -16.0
MAKELA3 X17 -17.0
MAKELA3 X18 -18.0
MAKELA3 X19 -19.0
MAKELA3 X20 -20.0
ELEMENT TYPE
EV SQ V
ELEMENT USES
DO I 1 20
XT XSQ(I) SQ
ZV XSQ(I) V X(I)
OD I
GROUP USES
DO I 1 20
XE F(I) XSQ(I)
OD I
OBJECT BOUND
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS MAKELA3
INDIVIDUALS
T SQ
F V * V
G V V + V
H V V 2.0
ENDATA