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HS24.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS24
* Problem :
* *********
* Source: problem 24 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, April 1990
* classification OLR2-AN-2-3
* Parameters
RF RT3 SQRT 3.0
RM MRT3 RT3 -1.0
RD C1FAC RT3 1.0
VARIABLES
X1
X2
GROUPS
N OBJ
ZG CON1 X1 C1FAC
G CON1 X2 -1.0
G CON2 X1 1.0
ZG CON2 X2 RT3
G CON3 X1 -1.0
ZG CON3 X2 MRT3
CONSTANTS
HS24 CON3 -6.0
START POINT
HS24 X1 1.0
HS24 X2 0.5
ELEMENT TYPE
EV OBJ V1 V2
ELEMENT USES
T E1 OBJ
V E1 V1 X1
V E1 V2 X2
GROUP USES
E OBJ E1
OBJECT BOUND
* Solution
*LO SOLTN -1.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS24
TEMPORARIES
R FACT
R RT3X27
R X1M3
R X1M3M9
R V2SQ
R V2CB
INDIVIDUALS
T OBJ
A RT3X27 1.0 / ( 27.0 * SQRT( 3.0 ) )
A V2SQ V2 * V2
A V2CB V2SQ * V2
A X1M3 V1 - 3.0
A X1M3M9 X1M3 * X1M3 - 9.0
F RT3X27 * X1M3M9 * V2CB
G V1 2.0 * X1M3 * RT3X27 * V2CB
G V2 3.0 * X1M3M9 * RT3X27 * V2SQ
H V1 V1 2.0 * RT3X27 * V2CB
H V1 V2 6.0 * X1M3 * RT3X27 * V2SQ
H V2 V2 6.0 * X1M3M9 * RT3X27 * V2
ENDATA