HS63.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS63

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

*   Source: problem 63 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: J-M COLLIN, April 1990.

*   classification QQR2-AY-3-2

VARIABLES

    X1
    X2
    X3

GROUPS

 N  OBJ

 E  C1        X1        8.0            X2        14.0
 E  C1        X3        7.0
 E  C2

CONSTANTS

    HS63      OBJ       -1000.0
    HS63      C1        56.0
    HS63      C2        25.0

START POINT

    HS63      X1        2.0
    HS63      X2        2.0
    HS63      X3        2.0

ELEMENT TYPE

 EV SQ        X
 EV I2PR      X                        Y
 EV I2PR      Z
 IV I2PR      U                        V

ELEMENT USES

 XT 'DEFAULT' SQ

 V  E1        X                        X1

 V  E2        X                        X2

 V  E3        X                        X3

 T  E4        I2PR
 V  E4        X                        X1
 V  E4        Y                        X2
 V  E4        Z                        X3

GROUP USES

 XE OBJ       E1        -1.0           E2        -2.0
 XE OBJ       E3        -1.0           E4        -1.0

 XE C2        E1                       E2
 XE C2        E3

OBJECT BOUND

*   Solution

*LO SOLTN               961.7151721

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS63

INDIVIDUALS

 T  SQ
 F                      X * X
 G  X                   X + X
 H  X         X         2.0

 T  I2PR
 R  U         X         1.0
 R  V         Y         1.0            Z         1.0
 F                      U * V
 G  U                   V
 G  V                   U
 H  U         V         1.0

ENDATA