HS12.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS12

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

*   Source: problem 12 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 March 1990

*   classification QQR2-AN-2-1

VARIABLES

    X1
    X2

GROUPS

 N  OBJ       X1        -7.0           X2        -7.0

 G  CON1

CONSTANTS

    HS12      CON1      -25.0

BOUNDS

 FR HS12      'DEFAULT'

START POINT

 XV HS12      'DEFAULT' 0.0

ELEMENT TYPE

 EV SQ        V1
 EV 2PR       V1                       V2

ELEMENT USES

 T  E1        SQ
 V  E1        V1                       X1

 T  E2        SQ
 V  E2        V1                       X2

 T  E3        2PR
 V  E3        V1                       X1
 V  E3        V2                       X2

GROUP USES

 E  OBJ       E1        0.5            E2
 E  OBJ       E3        -1.0
 E  CON1      E1        -4.0           E2        -1.0

OBJECT BOUND

*   Solution

*LO SOLTN               -30.0

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS12

INDIVIDUALS

 T  2PR
 F                      V1 * V2
 G  V1                  V2
 G  V2                  V1
 H  V1        V2        1.0

 T  SQ
 F                      V1 * V1
 G  V1                  2.0 * V1
 H  V1        V1        2.0

ENDATA