HS8.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS8

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

*   Source: problem 8 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 CQR2-AN-2-2

VARIABLES

    X1
    X2

GROUPS

 N  OBJ

 E  CON1
 E  CON2

CONSTANTS

    HS8       OBJ       1.0
    HS8       CON1      25.0
    HS8       CON2      9.0

BOUNDS

 FR HS8       'DEFAULT'

START POINT

    HS8       X1        2.0
    HS8       X2        1.0

ELEMENT TYPE

 EV 2PROD     V1                       V2
 EV SQ        V1

ELEMENT USES

 T  E1        SQ
 V  E1        V1                       X1

 T  E2        SQ
 V  E2        V1                       X2

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

GROUP USES

 E  CON1      E1                       E2
 E  CON2      E3

OBJECT BOUND

*   Solution

*LO SOLTN               -1.0

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS8

TEMPORARIES

 R  ZERO

GLOBALS

 A  ZERO                               0.0

INDIVIDUALS

 T  2PROD
 F                      V1*V2
 G  V1                  V2
 G  V2                  V1
 H  V1        V1        ZERO
 H  V2        V2        ZERO
 H  V1        V2        1.0

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

ENDATA