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DENSCHND.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME DENSCHND
* Problem :
* *********
* Source: an example problem (p. 83) 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-3-0
VARIABLES
X1
X2
X3
GROUPS
N A
N B
N C
BOUNDS
FR DENSCHND 'DEFAULT'
START POINT
XV DENSCHND 'DEFAULT' 10.0
ELEMENT TYPE
EV SQ V1
EV CB V1
EV FR V1
EV 2PR V1 V2
EV 3PR V1 V2
EV 3PR V3
ELEMENT USES
XT 'DEFAULT' 2PR
T E1 SQ
V E1 V1 X1
T E2 CB
V E2 V1 X2
T E3 FR
V E3 V1 X3
T E4 3PR
V E4 V1 X1
V E4 V2 X2
V E4 V3 X3
V E5 V1 X1
V E5 V2 X2
V E6 V1 X2
V E6 V2 X3
V E7 V1 X1
V E7 V2 X3
GROUP TYPE
GV L2 GVAR
GROUP USES
XT 'DEFAULT' L2
E A E1 E2
E A E3 -1.0
E B E4 E4
E C E5 2.0 E6 -3.0
E C E7
OBJECT BOUND
LO DENSCHND 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS DENSCHND
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 FR
F V1**4
G V1 4.0 * V1**3
H V1 V1 12.0 * V1 * V1
T 2PR
F V1 * V2
G V1 V2
G V2 V1
H V1 V2 1.0
T 3PR
F V1 * V2 * V3
G V1 V2 * V3
G V2 V1 * V3
G V3 V1 * V2
H V1 V2 V3
H V1 V3 V2
H V2 V3 V1
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS DENSCHND
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA