HS41.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS41

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

*   Source: problem 41 in
*   W. Hock and K. Schittkowski,
*   "Test examples for nonlinear programming codes",
*   Lectures Notes in Economics and Mathematical Systems 187, Springer
*   Verlag, Heidelberg, 1981.

*   SIF input: A.R. Conn, April 1990

*   classification OLR2-AN-4-1

*   some useful parameters, including N, the number of variables.

 IE N                   4
 IE 1                   1

VARIABLES

 DO I         1                        N
 X  X(I)
 ND

GROUPS

 N  OBJ

 E  CON1      X1        1.0            X2        2.0
 E  CON1      X3        2.0            X4        -1.0

CONSTANTS

    HS41      OBJ       -2.0

BOUNDS

 XU HS41      'DEFAULT' 1.0
 UP HS41      X4        2.0

START POINT

 XV HS41      'DEFAULT' 2.0

ELEMENT TYPE

 EV 3PROD     V1                       V2
 EV 3PROD     V3

ELEMENT USES

 T  E1        3PROD
 V  E1        V1                       X1
 V  E1        V2                       X2
 V  E1        V3                       X3

GROUP USES

 E  OBJ       E1

OBJECT BOUND

*   Solution

*LO SOLTN                1.925925

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS41

INDIVIDUALS

 T  3PROD
 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