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HS42.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS42
* Problem :
* *********
* Source: problem 42 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 SQR2-AN-4-2
* some useful parameters, including N, the number of variables.
IE N 4
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
E CON1 X1 1.0
E CON2
CONSTANTS
HS42 CON1 2.0
HS42 CON2 2.0
BOUNDS
FR HS42 'DEFAULT'
START POINT
XV HS42 'DEFAULT' 1.0
ELEMENT TYPE
EV SQ V1
EV SQMP V1
EP SQMP P
ELEMENT USES
DO I 1 N
RI PAR I
XT E(I) SQMP
ZV E(I) V1 X(I)
ZP E(I) P PAR
ND
T E5 SQ
V E5 V1 X3
T E6 SQ
V E6 V1 X4
GROUP USES
E OBJ E1 E2
E OBJ E3 E4
E CON2 E5 E6
OBJECT BOUND
LO HS42 0.0
* Solution
*LO SOLTN 13.857864
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS42
TEMPORARIES
R VMP
INDIVIDUALS
T SQMP
A VMP V1 - P
F VMP * VMP
G V1 VMP + VMP
H V1 V1 2.0
T SQ
F V1 * V1
G V1 V1 + V1
H V1 V1 2.0
ENDATA