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DENSCHNC.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME DENSCHNC
* Problem :
* *********
* Source: an example problem (p. 98) 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 SUR2-AN-2-0
VARIABLES
X1
X2
GROUPS
N A
N B
CONSTANTS
X DENSCHNC 'DEFAULT' 2.0
BOUNDS
FR DENSCHNC 'DEFAULT'
START POINT
DENSCHNC X1 2.0
DENSCHNC X2 3.0
ELEMENT TYPE
EV SQ V1
EV CB V1
EV EX V1
ELEMENT USES
T E1 SQ
V E1 V1 X1
T E2 SQ
V E2 V1 X2
T E3 EX
V E3 V1 X1
T E4 CB
V E4 V1 X2
GROUP TYPE
GV L2 GVAR
GROUP USES
T 'DEFAULT' L2
E A E1 E2
E B E3 E4
OBJECT BOUND
LO DENSCHNC 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS DENSCHNC
TEMPORARIES
R EV
M EXP
INDIVIDUALS
T SQ
F V1 * V1
G V1 V1 + V1
H V1 V1 2.0
T CB
F V1**3
G V1 3.0 * V1 * V1
H V1 V1 6.0 * V1
T EX
A EV EXP( V1 - 1.0 )
F EV
G V1 EV
H V1 V1 EV
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS DENSCHNC
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA