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HS38.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS38
* Problem :
* *********
* Colville #4 test problem
* Source: problem 38 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 OBR2-AN-4-0
* Problem dimension
IE N 4
* Define useful parameters
IE 1 1
IE 2 2
RE P1 10.1
RE P2 90.0
RD 1/P1 P1 1.0
RD 1/P2 P2 1.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 N
XN G(I) X(I) 1.0
ND
ZN G2 'SCALE' 1/P1
ZN G4 'SCALE' 1/P1
N G5 X2 1.0
N G5 'SCALE' 0.01
N G6 X4 1.0
ZN G6 'SCALE' 1/P2
N G7
CONSTANTS
DO I 1 N
X HS38 G(I) 1.0
ND
BOUNDS
XL HS38 'DEFAULT' -10.0
XU HS38 'DEFAULT' 10.0
START POINT
HS38 X1 -3.0 X2 -1.0
HS38 X3 -3.0 X4 -1.0
ELEMENT TYPE
EV MSQ V1
EV PROD V1 V2
ELEMENT USES
T E1 MSQ
V E1 V1 X1
T E2 MSQ
V E2 V1 X3
T E3 PROD
V E3 V1 X2
V E3 V2 X4
GROUP TYPE
GV L2 GVAR
GROUP USES
DO I 1 N
XT G(I) L2
ND
T G5 L2
E G5 E1
T G6 L2
E G6 E2
E G7 E3 19.8
OBJECT BOUND
LO HS38 -99.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS38
TEMPORARIES
R M2
R M4
INDIVIDUALS
T MSQ
F - V1 * V1
G V1 - V1 - V1
H V1 V1 - 2.0
T PROD
A M2 1.0 - V1
A M4 1.0 - V2
F M2 * M4
G V1 -M4
G V2 -M2
H V1 V2 1.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS38
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA