QUARTC.SIF

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* SET UP THE INITIAL DATA *
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NAME          QUARTC

*   Problem :
*   *********

*   A simple quartic function.

*   Source:  problem 157 (p. 87) in
*   A.R. Buckley,
*   "Test functions for unconstrained minimization",
*   TR 1989CS-3, Mathematics, statistics and computing centre,
*   Dalhousie University, Halifax (CDN), 1989.

*   SIF input: Ph. Toint, March 1991.

*   classification OUR2-AN-V-0

*   number of variables

*IE N                   25             $-PARAMETER     original value
*IE N                   100            $-PARAMETER
*IE N                   500            $-PARAMETER
*IE N                   1000           $-PARAMETER
 IE N                   5000           $-PARAMETER
*IE N                   10000          $-PARAMETER

*   other parameter definitions

 IE 1                   1

VARIABLES

 DO I         1                        N
 X  X(I)
 ND

GROUPS

 DO I         1                        N
 XN G(I)      X(I)      1.0
 ND

CONSTANTS

 DO I         1                        N
 RI REALI     I
 Z  QUARTC    G(I)                     REALI
 ND

BOUNDS

 FR QUARTC    'DEFAULT'

START POINT

 XV QUARTC    'DEFAULT' 2.0

GROUP TYPE

 GV L4        GVAR

GROUP USES

 T  'DEFAULT' L4

OBJECT BOUND

 LO QUARTC              0.0

*   Solution

*LO SOLTN               0.0

ENDATA

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* SET UP THE GROUPS *
* ROUTINE           *
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GROUPS        QUARTC

INDIVIDUALS

 T  L4
 F                      GVAR**4
 G                      4.0 * GVAR**3
 H                      12.0 * GVAR**2

ENDATA