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HS16.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS16
* Problem :
* *********
* Source: problem 16 in
* W. Hock and K. Schittkowski,
* "Test examples for nonlinear programming codes",
* Lectures Notes in Economics and Mathematical Systems 187, Springer
* Verlag, Heidelberg, 1981.
* SIF input: A.R. Conn March 1990
* classification SQR2-AN-2-2
VARIABLES
X1
X2
GROUPS
N OBJ
G CON1 X1 1.0
G CON2 X2 1.0
BOUNDS
LO HS16 X1 -0.5
UP HS16 X1 0.5
MI HS16 X2
UP HS16 X2 1.0
START POINT
HS16 X1 -2.0
HS16 X2 1.0
ELEMENT TYPE
EV SQ V1
EV SQSQ V1 V2
EV SQ-1 V1
ELEMENT USES
T E1 SQSQ
V E1 V1 X1
V E1 V2 X2
T E2 SQ-1
V E2 V1 X1
T E3 SQ
V E3 V1 X2
T E4 SQ
V E4 V1 X1
GROUP USES
E OBJ E1 100.0 E2
E CON1 E3
E CON2 E4
OBJECT BOUND
LO HS16 0.0
* Solution
*LO SOLTN 0.25
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS16
TEMPORARIES
R WMV1
R TM1SQ
INDIVIDUALS
T SQSQ
A TM1SQ V2 - V1*V1
F TM1SQ**2
G V1 -4.0 * TM1SQ * V1
G V2 2.0 * TM1SQ
H V1 V1 12.0 * V1 * V1 - 4.0 * V2
H V1 V2 -4.0 * V1
H V2 V2 2.0
T SQ-1
A WMV1 1.0 - V1
F WMV1**2
G V1 -2.0 * WMV1
H V1 V1 2.0
T SQ
F V1 * V1
G V1 V1 + V1
H V1 V1 2.0
ENDATA