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HIMMELBB.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HIMMELBB
* Problem :
* *********
* A 2 variables problem by Himmelblau.
* Source: problem 27 in
* D.H. Himmelblau,
* "Applied nonlinear programming",
* McGraw-Hill, New-York, 1972.
* See Buckley#77 (p. 62)
* SIF input: Ph. Toint, Dec 1989.
* classification OUR2-AN-2-0
VARIABLES
X1
X2
GROUPS
N G
BOUNDS
FR HIMMELBB 'DEFAULT'
START POINT
HIMMELBB X1 -1.2
HIMMELBB X2 1.0
ELEMENT TYPE
EV H X Y
ELEMENT USES
T E H
V E X X1
V E Y X2
GROUP TYPE
GV L2 GVAR
GROUP USES
T G L2
E G E
OBJECT BOUND
LO HIMMELBB 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HIMMELBB
TEMPORARIES
R R1
R R2
R R3
R DR3DX
R DR3DX2
INDIVIDUALS
T H
A R1 X * Y
A R2 1.0 - X
A R3 1.0 - Y - X * R2**5
A DR3DX - R2**4 * ( 1.0 - 6.0 * X )
A DR3DX2 10.0 * R2**3 * ( 1.0 - 3.0* X )
F R1 * R2 * R3
G X Y * R2 * R3 - R1 * R3 + R1 * R2 * DR3DX
G Y X * R2 * R3 - R1 * R2
H X X - 2.0 * Y * R3 - 2.0 * R1 * DR3DX
H+ + Y * R2 * DR3DX + R1 * R2 * DR3DX2
H X Y R2 * R3 + X * R2 * DR3DX - Y * R2
H+ + R1 - X * R3
H Y Y - 2.0 * X * R2
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HIMMELBB
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA