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BOX2.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BOX2
* Problem :
* *********
* Box problem in 2 variables, obtained by fixing X3 = 1 in BOX3.
* Source: Problem 11 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-3-0
* This function is a nonlinear least squares with 10 groups. Each
* group has 2 nonlinear elements of exponential type.
* Number of groups
IE M 10
* Useful parameters
IE 1 1
VARIABLES
X1
X2
X3
GROUPS
DO I 1 M
RI RI I
RM MRI RI -1.0
RM MTI RI -0.1
R( EMTI EXP MTI
R( EMRI EXP MRI
RM MEMTI EMTI -1.0
R+ COEFF MEMTI EMRI
ZN G(I) X3 COEFF
ND
BOUNDS
FR BOX2 'DEFAULT'
FX BOX2 X3 1.0
START POINT
BOX2 X1 0.0
BOX2 X2 10.0
BOX2 X3 1.0
ELEMENT TYPE
EV EXPT V
EP EXPT T
ELEMENT USES
XT 'DEFAULT' EXPT
DO I 1 M
RI RI I
RM MTI RI -0.1
ZV A(I) V X1
ZP A(I) T MTI
ZV B(I) V X2
ZP B(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
ND
OBJECT BOUND
LO BOX2 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BOX2
TEMPORARIES
M EXP
R EXPA
INDIVIDUALS
* Exponential
T EXPT
A EXPA EXP( T * V )
F EXPA
G V T * EXPA
H V V T * T * EXPA
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS BOX2
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA