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BIGGS5.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BIGGS5
* Problem :
* *********
* Biggs EXP problem in 5 variables
* Source: Problem 74 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 SXR2-AN-6-0
* This function is a nonlinear least squares with 13 groups. Each
* group has 3 nonlinear elements. It is obtained by fixing
* X6 = 3
* in BIGGS6.
* 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 BIGGS5 G(I) Y
ND
BOUNDS
FR BIGGS5 'DEFAULT'
FX BIGGS5 X6 3.0
START POINT
BIGGS5 X1 1.0
BIGGS5 X2 2.0
BIGGS5 X3 1.0
BIGGS5 X4 1.0
BIGGS5 X5 4.0
BIGGS5 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 BIGGS5 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BIGGS5
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 BIGGS5
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA