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GIGOMEZ2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME GIGOMEZ2
* Problem :
* *********
* A nonlinear minmax problem.
* Source:
* C. Gigola and S. Gomez,
* "A Regularization Method for Solving the Finite Convex Min-Max Problem",
* SINUM 27(6), pp. 1621-1634, 1990.
* SIF input: Ph. Toint, August 1993.
* classification LOR2-AY-3-3
VARIABLES
X1
X2
Z
GROUPS
XN OBJ Z 1.0
XG C1 Z 1.0
XG C2 Z 1.0
XG C3 Z 1.0
BOUNDS
FR GIGOMEZ2 'DEFAULT'
START POINT
XV GIGOMEZ2 X1 2.0
XV GIGOMEZ2 X2 2.0
XV GIGOMEZ2 Z 2.0
ELEMENT TYPE
EV SQ X
EV FR X
EV SSQ X
EV IEXP X Y
IV IEXP YMX
ELEMENT USES
T X1SQ SQ
ZV X1SQ X X1
T X2FR FR
ZV X2FR X X2
T SX1 SSQ
ZV SX1 X X1
T SX2 SSQ
ZV SX2 X X2
T EEXP IEXP
ZV EEXP X X1
ZV EEXP Y X2
GROUP USES
E C1 X1SQ -1.0 X2FR -1.0
E C2 SX1 -1.0 SX2 -1.0
E C3 EEXP -2.0
OBJECT BOUND
* Solution
*LO SOLTN 1.95222
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS GIGOMEZ2
TEMPORARIES
R E
M EXP
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
T FR
F X**4
G X 4.0 * X** 3
H X X 12.0 * X**2
T SSQ
F ( 2.0 - X )**2
G X -4.0 + 2.0 * X
H X X 2.0
T IEXP
R YMX Y 1.0 X -1.0
A E EXP( YMX )
F E
G YMX E
H YMX YMX E
ENDATA