HS39.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS39

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

*   Source: problem 39 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 LOR2-AN-4-2

*   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       X1        -1.0

 E  CON1      X2        1.0
 E  CON2      X2        -1.0

BOUNDS

 FR HS39      'DEFAULT'

START POINT

 XV HS39      'DEFAULT' 2.0

ELEMENT TYPE

 EV MSQ       V1
 EV MCB       V1

ELEMENT USES

 T  E1        MCB
 V  E1        V1                       X1

 T  E2        MSQ
 V  E2        V1                       X3

 T  E3        MSQ
 V  E3        V1                       X1

 T  E4        MSQ
 V  E4        V1                       X4

GROUP USES

 E  CON1      E1                       E2
 E  CON2      E3        -1.0           E4

OBJECT BOUND

*   Solution

*LO SOLTN               -1.0

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS39

INDIVIDUALS

 T  MCB
 F                      -V1**3
 G  V1                  -3.0 * V1 * V1
 H  V1        V1        -6.0 * V1

 T  MSQ
 F                      -V1 * V1
 G  V1                  -2.0 * V1
 H  V1        V1        -2.0

ENDATA