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HS50.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS50
* Problem :
* *********
* Source: problem 50 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-5-3
* some useful parameters, including N, the number of variables.
IE N 5
IE 1 1
IE 2 2
IE 3 3
IE 4 4
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
DO I 1 3
IA J I 1
IA K J 1
XE CON(I) X(I) 1.0 X(J) 2.0
XE CON(I) X(K) 3.0
ND
CONSTANTS
HS50 OBJ 0.0
HS50 CON1 6.0
HS50 CON2 6.0
HS50 CON3 6.0
BOUNDS
FR HS50 'DEFAULT'
START POINT
HS50 X1 35.0
HS50 X2 -31.0
HS50 X3 11.0
HS50 X4 5.0
HS50 X5 -5.0
ELEMENT TYPE
EV DIFF2 V1 V2
IV DIFF2 U
EV DIFF4 V1 V2
IV DIFF4 U
ELEMENT USES
XT E1 DIFF2
ZV E1 V1 X1
ZV E1 V2 X2
XT E2 DIFF2
ZV E2 V1 X2
ZV E2 V2 X3
XT E3 DIFF4
ZV E3 V1 X3
ZV E3 V2 X4
XT E4 DIFF2
ZV E4 V1 X4
ZV E4 V2 X5
GROUP USES
E OBJ E1 E2
E OBJ E3 E4
OBJECT BOUND
LO HS50 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS50
TEMPORARIES
INDIVIDUALS
T DIFF2
R U V1 1.0 V2 -1.0
F U ** 2
G U U + U
H U U 2.0
T DIFF4
R U V1 1.0 V2 -1.0
F U ** 4
G U 4.0 * U ** 3
H U U 12.0 * U ** 2
ENDATA