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JENSMP.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME JENSMP
* Problem :
* *********
* The Jennrich and Sampson problem
* Source: Problem 6 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.
* SIF input: Ph. Toint, Dec 1989.
* classification OUR2-AN-2-0
* This function is a nonlinear least squares with m groups. Each
* group has two nonlinear elements.
* Number of groups
IE M 10
* Useful parameters
IE 1 1
VARIABLES
X1
X2
GROUPS
DO I 1 M
XN G(I)
ND
CONSTANTS
DO I 1 M
IA I+1 I 1
IM T I+1 2
RI 2+2I T
Z JENSMP G(I) 2+2I
ND
BOUNDS
FR JENSMP 'DEFAULT'
START POINT
* Starting from ( 0.3, 0.4 )
JENSMP X1 0.3
JENSMP X2 0.4
ELEMENT TYPE
EV PEXP V
EP PEXP P
ELEMENT USES
XT 'DEFAULT' PEXP
DO I 1 M
RI REALI I
ZV A(I) V X1
ZP A(I) P REALI
ZV B(I) V X2
ZP B(I) P REALI
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
DO I 1 M
XT G(I) L2
XE G(I) A(I) B(I)
ND
OBJECT BOUND
* Least square problems are bounded below by zero
LO JENSMP 0.0
* Solution
*LO SOLTN 124.362
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS JENSMP
TEMPORARIES
R T
R T1
M EXP
INDIVIDUALS
* Parametrized exponentials
T PEXP
A T EXP( P * V )
A T1 P * T
F T
G V T1
H V V P * T1
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS JENSMP
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA