MAKELA4.SIF

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* SET UP THE INITIAL DATA *
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NAME          MAKELA4

*   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  LLR2-AN-21-40

 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           X(I)      1.0
 XL MF(I)     U         -1.0           X(I)      -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

OBJECT BOUND

*   Solution

*LO SOLTN               0.0

ENDATA