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GENHS28.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME GENHS28
* Problem :
* *********
* Source: a multi-dimensional extension of problem 28 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: Nick Gould, December 1991
* minor correction by Ph. Shott, Jan 1995.
* classification QLR2-AY-10-8
* Number of variables
IE N 10
* Other useful parameters
IA N-1 N -1
IA N-2 N -2
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N OBJ
DO I 1 N-2
IA I+1 I 1
IA I+2 I 2
XE CON(I) X(I) 1.0 X(I+1) 2.0
XE CON(I) X(I+2) 3.0
ND
CONSTANTS
DO I 1 N-2
X GENHS28 CON(I) 1.0
ND
BOUNDS
FR GENHS28 'DEFAULT'
START POINT
GENHS28 'DEFAULT' 1.0
GENHS28 X1 -4.0
ELEMENT TYPE
EV SQ V1 V2
IV SQ U1
ELEMENT USES
XT 'DEFAULT' SQ
DO I 1 N-1
IA I+1 I 1
ZV E(I) V1 X(I)
ZV E(I) V2 X(I+1)
ND
GROUP USES
DO I 1 N-1
XE OBJ E(I)
ND
OBJECT BOUND
LO GENHS28 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS GENHS28
INDIVIDUALS
T SQ
R U1 V1 1.0 V2 1.0
F U1 * U1
G U1 U1 + U1
H U1 U1 2.0
ENDATA