RECIPE.SIF

***************************
* SET UP THE INITIAL DATA *
***************************

NAME          RECIPE

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

*   Source:  problem 155 (p. 88) in
*   A.R. Buckley,
*   "Test functions for unconstrained minimization",
*   TR 1989CS-3, Mathematics, statistics and computing centre,
*   Dalhousie University, Halifax (CDN), 1989.

*   SIF input: Ph. Toint, Dec 1989.

*   classification NOR2-AY-3-3

VARIABLES

    X1
    X2
    X3

GROUPS

 E  G1        X1        1.0
 E  G2
 E  G3

CONSTANTS

    RECIPE    G1        5.0

BOUNDS

 FR RECIPE    'DEFAULT'

START POINT

    RECIPE    X1        2.0
    RECIPE    X2        5.0
    RECIPE    X3        1.0

ELEMENT TYPE

 EV SQ        X

 EV XOVERU    X                        Y
 EV XOVERU    Z
 IV XOVERU    V                        U

ELEMENT USES

 T  E1        SQ
 V  E1        X                        X2

 T  E2        XOVERU
 V  E2        X                        X3
 V  E2        Y                        X2
 V  E2        Z                        X1

GROUP USES

 E  G2        E1
 E  G3        E2

ENDATA

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

ELEMENTS      RECIPE

TEMPORARIES

 R  U2

INDIVIDUALS

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

*   Ratio

 T  XOVERU
 R  V         X         1.0
 R  U         Y         1.0            Z         -1.0
 A  U2                  U * U
 F                      V / U
 G  V                   1.0 / U
 G  U                   - V / U2
 H  V         U         - 1.0 / U2
 H  U         U         2.0 * V / ( U2 * U )

ENDATA