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BEALE.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BEALE
* Problem :
* *********
* Beale problem in 2 variables
* Source: Problem 5 in
* J.J. More', B.S. Garbow and K.E. Hillstrom,
* "Testing Unconstrained Optimization Software",
* ACM Transactions on Mathematical Software, vol. 7(1), pp. 17-41, 1981.
* See also Buckley#89.
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-AN-2-0
IE N 2
* Define useful parameters
IE 1 1
VARIABLES
X1
X2
GROUPS
N A
N B
N C
CONSTANTS
BEALE A 1.5
BEALE B 2.25
BEALE C 2.625
BOUNDS
FR BEALE 'DEFAULT'
START POINT
XV BEALE 'DEFAULT' 1.0
ELEMENT TYPE
EV PRODB V1 V2
EP PRODB POW
ELEMENT USES
T 'DEFAULT' PRODB
V AE V1 X1
V AE V2 X2
P AE POW 1.0
V BE V1 X1
V BE V2 X2
P BE POW 2.0
V CE V1 X1
V CE V2 X2
P CE POW 3.0
GROUP TYPE
GV L2 GVAR
GROUP USES
T 'DEFAULT' L2
E A AE
E B BE
E C CE
OBJECT BOUND
LO BEALE 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BEALE
TEMPORARIES
R T
R POWM1
R W
INDIVIDUALS
* Product type elements
T PRODB
A T 1.0 - V2**POW
A POWM1 POW - 1.0
A W - POW * V2**POWM1
F V1 * T
G V1 T
G V2 V1 * W
H V1 V1 0.0
H V1 V2 W
H V2 V2 -V1 * POW * POWM1 * V2**(POW - 2.0)
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS BEALE
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA