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GIGOMEZ1.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME GIGOMEZ1
* 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 LQR2-AN-3-3
VARIABLES
X1
X2
Z
GROUPS
XN OBJ Z 1.0
XG C1 Z 1.0
XG C1 X1 5.0 X2 -1.0
XG C2 Z 1.0 X2 -4.0
XG C3 Z 1.0
XG C3 X1 -5.0 X2 -1.0
BOUNDS
FR GIGOMEZ1 'DEFAULT'
START POINT
XV GIGOMEZ1 X1 2.0
XV GIGOMEZ1 X2 2.0
XV GIGOMEZ1 Z 2.0
ELEMENT TYPE
EV SQ X
ELEMENT USES
T X1SQ SQ
ZV X1SQ X X1
T X2SQ SQ
ZV X2SQ X X2
GROUP USES
E C2 X1SQ -1.0 X2SQ -1.0
OBJECT BOUND
* Solution
*LO SOLTN -3.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS GIGOMEZ1
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
ENDATA