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BIGGS6.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BIGGS6
* Problem :
* *********
* Biggs EXP problem in 6 variables
* Source: Problem 21 in
* A.R. Buckley,
* "Test functions for unconstrained minimization",
* TR 1989CS-3, Mathematics, statistics and computing centre,
* Dalhousie University, Halifax (CDN), 1989.
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-AN-6-0
* The number of groups can be varied, but should be larger or equal
* to the number of variables.
* Number of variables
IE N 6
* Number of groups
IE M 13
* Useful parameters
IE 1 1
VARIABLES
X1
X2
X3
X4
X5
X6
GROUPS
DO I 1 M
XN G(I)
ND
CONSTANTS
DO I 1 M
RI RI I
RM MTI RI -0.1
R( EMTI EXP MTI
RM MT2 RI -1.0
R( E2 EXP MT2
RM MT3 MTI 4.0
R( E3 EXP MT3
RM T2 E2 -5.0
RM T3 E3 3.0
R+ Y0 EMTI T2
R+ Y Y0 T3
Z BIGGS6 G(I) Y
ND
BOUNDS
FR BIGGS6 'DEFAULT'
START POINT
BIGGS6 X1 1.0
BIGGS6 X2 2.0
BIGGS6 X3 1.0
BIGGS6 X4 1.0
BIGGS6 X5 1.0
BIGGS6 X6 1.0
OTHERX X1 1.0
OTHERX X2 2.0
OTHERX X3 1.0
OTHERX X4 1.0
OTHERX X5 4.0
OTHERX X6 3.0
ELEMENT TYPE
EV PEXP V1 V2
EP PEXP T
ELEMENT USES
XT 'DEFAULT' PEXP
DO I 1 M
RI RI I
RM MTI RI -0.1
ZV A(I) V1 X3
ZV A(I) V2 X1
ZP A(I) T MTI
ZV B(I) V1 X4
ZV B(I) V2 X2
ZP B(I) T MTI
ZV C(I) V1 X6
ZV C(I) V2 X5
ZP C(I) T MTI
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
DO I 1 M
XE G(I) A(I) 1.0 B(I) -1.0
XE G(I) C(I) 1.0
ND
OBJECT BOUND
LO BIGGS6 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BIGGS6
TEMPORARIES
R EXPA
R V1EXPA
M EXP
INDIVIDUALS
* Parametric product with exponential
T PEXP
A EXPA EXP( T * V2 )
A V1EXPA V1 * EXPA
F V1EXPA
G V1 EXPA
G V2 T * V1EXPA
H V1 V2 T * EXPA
H V2 V2 T * T * V1EXPA
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS BIGGS6
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA