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HS2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS2
* Problem :
* *********
* The ever famous 2 variables Rosenbrock "banana valley" problem
* with a single lower bound.
* Source: problem 2 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, March 1990.
* classification SBR2-AN-2-0
VARIABLES
X1
X2
GROUPS
N G1 X2 1.0
N G1 'SCALE' 0.01
N G2 X1 1.0
CONSTANTS
HS2 G2 1.0
BOUNDS
FR HS2 'DEFAULT'
LO HS2 X2 1.5
START POINT
HS2 X1 -2.0
HS2 X2 1.0
ELEMENT TYPE
EV SQ V1
ELEMENT USES
T E1 SQ
V E1 V1 X1
GROUP TYPE
GV L2 GVAR
GROUP USES
T G1 L2
E G1 E1
T G2 L2
OBJECT BOUND
LO HS2 0.0
* Solution
*LO SOLTN 0.050426
*LO SOLTN 4.941229
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS2
INDIVIDUALS
T SQ
F - V1 * V1
G V1 - 2.0 * V1
H V1 V1 - 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS2
INDIVIDUALS
T L2
F GVAR * GVAR
G 2.0 * GVAR
H 2.0
ENDATA