DQRTIC.SIF

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* SET UP THE INITIAL DATA *
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NAME          DQRTIC

*   Problem :
*   *********
*   Variable dimension diagonal quartic problem.

*   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, Dec 1989.

*   classification OUR2-AN-V-0

*   Number of variables (variable)

*IE N                   10             $-PARAMETER
*IE N                   50             $-PARAMETER
*IE N                   100            $-PARAMETER
*IE N                   500            $-PARAMETER     original value
*IE N                   1000           $-PARAMETER
 IE N                   5000           $-PARAMETER

*   Other parameters

 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 RI        I
 Z  DQRTIC    G(I)                     RI
 ND

BOUNDS

 FR DQRTIC    'DEFAULT'

START POINT

 XV DQRTIC    'DEFAULT' 2.0

GROUP TYPE

 GV L4        GVAR

GROUP USES

 XT 'DEFAULT' L4

OBJECT BOUND

 LO DQRTIC              0.0

*   Solution

*LO SOLTN               0.0

ENDATA

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* SET UP THE GROUPS *
* ROUTINE           *
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GROUPS        DQRTIC

INDIVIDUALS

 T  L4

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

ENDATA