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HS49.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS49
* Problem :
* *********
* Source: problem 49 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
* updated to improve numerics, Nick Gould, Oct 2003
* classification OLR2-AY-5-2
* some useful parameters, including N, the number of variables.
IE N 5
IE 1 1
IE 2 2
IE 3 3
IE 4 4
IE 6 6
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
E CON1 X1 1.0 X2 1.0
E CON1 X3 1.0 X4 4.0
E CON2 X3 1.0 X5 5.0
CONSTANTS
HS49 CON1 7.0
HS49 CON2 6.0
BOUNDS
FR HS49 'DEFAULT'
START POINT
HS49 X1 10.0
HS49 X2 7.0
HS49 X3 2.0
HS49 X4 -3.0
HS49 X5 0.8
ELEMENT TYPE
EV SQ1M2 V1 V2
IV SQ1M2 U
EV VM12 V
EV VM14 V
EV VM16 V
ELEMENT USES
T E1 SQ1M2
V E1 V1 X1
V E1 V2 X2
T E2 VM12
V E2 V X3
T E3 VM14
V E3 V X4
T E4 VM16
V E4 V X5
GROUP USES
E OBJ E1 E2
E OBJ E3 E4
OBJECT BOUND
LO HS49 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS49
TEMPORARIES
R VM1
INDIVIDUALS
T SQ1M2
R U V1 1.0 V2 -1.0
F U ** 2
G U 2.0 * U
H U U 2.0
T VM12
A VM1 V - 1.0
F VM1 ** 2
G V 2.0 * VM1
H V V 2.0
T VM14
A VM1 V - 1.0
F VM1 ** 4
G V 4.0 * VM1 ** 3
H V V 12.0 * VM1 ** 2
T VM16
A VM1 V - 1.0
F VM1 ** 6
G V 6.0 * VM1 ** 5
H V V 30.0 * VM1 ** 4
ENDATA