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DENSCHNA.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME DENSCHNA
* Problem :
* *********
* Source: an example problem (p. 206) in
* J.E. Dennis and R.B. Schnabel,
* "Numerical Methods for Unconstrained Optimization and Nonlinear
* Equations",
* Prentice-Hall, Englewood Cliffs, 1983.
* SIF input: Ph. Toint, Nov 1990.
* classification OUR2-AN-2-0
VARIABLES
X1
X2
GROUPS
N A X1 1.0
N B X1 1.0 X2 1.0
N C
CONSTANTS
DENSCHNA C 1.0
BOUNDS
FR DENSCHNA 'DEFAULT'
START POINT
XV DENSCHNA 'DEFAULT' 1.0
ELEMENT TYPE
EV EX V
ELEMENT USES
T E EX
V E V X2
GROUP TYPE
GV L2 GVAR
GV L4 GVAR
GROUP USES
XT 'DEFAULT' L2
T A L4
E C E
OBJECT BOUND
LO DENSCHNA 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS DENSCHNA
TEMPORARIES
R EV
M EXP
INDIVIDUALS
T EX
A EV EXP( V )
F EV
G V EV
H V V EV
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS DENSCHNA
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
T L4
F GVAR**4
G 4.0 * GVAR**3
H 12.0 * GVAR * GVAR
ENDATA