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CHACONN1.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME CHACONN1
* Problem :
* *********
* A nonlinear minmax problem in two variables.
* Source:
* C. Charalambous and A.R. Conn,
* "An efficient method to solve the minmax problem directly",
* SINUM 15, pp. 162-187, 1978.
* SIF input: Ph. Toint, Nov 1993.
* classification LOR2-AY-3-3
VARIABLES
X1
X2
U
GROUPS
XN OBJ U 1.0
XL F1 U -1.0
XL F2 U -1.0
XL F3 U -1.0
BOUNDS
* All variables are free
FR CHACONN1 'DEFAULT'
START POINT
CHACONN1 X1 1.0
CHACONN1 X2 -0.1
ELEMENT TYPE
EV SQ V
EV FR V
EV EX V W
IV EX Z
EV TWOMSQ V
ELEMENT USES
T X1SQ SQ
V X1SQ V X1
T X2FR FR
V X2FR V X2
T TMX1SQ TWOMSQ
V TMX1SQ V X1
T TMX2SQ TWOMSQ
V TMX2SQ V X2
T EX12 EX
V EX12 V X1
V EX12 W X2
GROUP USES
E F1 X1SQ X2FR
E F2 TMX1SQ TMX2SQ
E F3 EX12 2.0
OBJECT BOUND
* Solution
*LO SOLTN 1.95222
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS CHACONN1
TEMPORARIES
R T
M EXP
INDIVIDUALS
T SQ
F V * V
G V V + V
H V V 2.0
T TWOMSQ
A T 2.0 - V
F T * T
G V -2.0 * T
H V V 2.0
T FR
F V ** 4
G V 4.0 * V ** 3
H V V 12.0 * V ** 2
T EX
R Z V -1.0 W 1.0
A T EXP( Z )
F T
G Z T
H Z Z T
ENDATA