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HS44.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS44
* Problem :
* *********
* Source: problem 44 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: Ph.L. Toint, October 1990.
* classification QLR2-AN-4-6
* 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 X1 1.0 X2 -1.0
N OBJ X3 -1.0
G CON1 X1 -1.0 X2 -2.0
G CON2 X1 -4.0 X2 -1.0
G CON3 X1 -3.0 X2 -4.0
G CON4 X3 -2.0 X4 -1.0
G CON5 X3 -1.0 X4 -2.0
G CON6 X3 -1.0 X4 -1.0
CONSTANTS
HS44 CON1 -8.0
HS44 CON2 -12.0
HS44 CON3 -12.0
HS44 CON4 -8.0
HS44 CON5 -8.0
HS44 CON6 -5.0
START POINT
XV HS44 'DEFAULT' 0.0
ELEMENT TYPE
EV 2PR V1 V2
ELEMENT USES
XT 'DEFAULT' 2PR
V E1 V1 X1
V E1 V2 X3
V E2 V1 X1
V E2 V2 X4
V E3 V1 X2
V E3 V2 X3
V E4 V1 X2
V E4 V2 X4
GROUP USES
E OBJ E1 -1.0 E2
E OBJ E4 -1.0 E3
OBJECT BOUND
* Solution
*LO SOLTN -13.0
*LO SOLTN -15.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS44
INDIVIDUALS
T 2PR
F V1 * V2
G V1 V2
G V2 V1
H V1 V2 1.0
ENDATA