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BOX3.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME BOX3
* Problem :
* *********
* Box problem in 3 variables.
* Source: Problem 12 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#BOX663
* SIF input: Ph. Toint, Dec 1989.
* classification SUR2-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 BOX3 'DEFAULT'
START POINT
BOX3 X1 0.0
BOX3 X2 10.0
BOX3 X3 1.0
ELEMENT TYPE
EV EXPT V
EP EXPT T
ELEMENT USES
T '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
T 'DEFAULT' L2
DO I 1 M
XE G(I) A(I) 1.0 B(I) -1.0
ND
OBJECT BOUND
LO BOX3 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS BOX3
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 BOX3
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA