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BT3.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BT3
* Problem :
* *********
* Source: problem 3 in
* P.T. Boggs and J.W. Tolle,
* "A strategy for global convergence in a sequential
* quadratic programming algorithm",
* SINUM 26(3), pp. 600-623, 1989.
* The problem is convex.
* SIF input: Ph. Toint, June 1993.
* classification SLR2-AY-5-3
VARIABLES
X1
X2
X3
X4
X5
GROUPS
N OBJ
E CON1 X1 1.0 X2 3.0
E CON2 X3 1.0 X4 1.0
E CON2 X5 -2.0
E CON3 X2 1.0 X5 -1.0
BOUNDS
FR BT3 'DEFAULT'
START POINT
XV BT3 'DEFAULT' 20.0
ELEMENT TYPE
EV SSQ X
EP SSQ P
EV ISQ X Y
IV ISQ Z
EV SISQ X Y
IV SISQ Z
EP SISQ P
ELEMENT USES
T E1 ISQ
V E1 X X1
V E1 Y X2
T E2 SISQ
V E2 X X2
V E2 Y X3
P E2 P 2.0
T E3 SSQ
V E3 X X4
P E3 P 1.0
T E4 SSQ
V E4 X X5
P E4 P 1.0
GROUP USES
E OBJ E1 E2
E OBJ E3 E4
OBJECT BOUND
LO BT3 0.0
* Solution
*LO SOLTN 4.09301056
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BT3
TEMPORARIES
R T
INDIVIDUALS
T SSQ
A T X - P
F T * T
G X 2.0 * T
H X X 2.0
T ISQ
R Z X 1.0 Y -1.0
F Z * Z
G Z Z + Z
H Z Z 2.0
T SISQ
R Z X 1.0 Y 1.0
A T Z - P
F T * T
G Z T + T
H Z Z 2.0
ENDATA