HIMMELBE.SIF

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* SET UP THE INITIAL DATA *
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NAME          HIMMELBE

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

*   A 3 variables problem by Himmelblau.

*   Source: problem 30 in
*   D.H. Himmelblau,
*   "Applied nonlinear programming",
*   McGraw-Hill, New-York, 1972.

*   See Buckley#88 (p. 65)

*   SIF input: Ph. Toint, Dec 1989.

*   classification NQR2-AY-3-3

VARIABLES

    X1
    X2
    X3

GROUPS

 E  G1        X3        -1.0
 E  G2        X1        -1.0
 E  G3        X2        -1.0

CONSTANTS

    HIMMELBE  G2        -1.0
    HIMMELBE  G3        -1.0

BOUNDS

 FR HIMMELBE  'DEFAULT'

START POINT

    HIMMELBE  X1        -1.2
    HIMMELBE  X2        2.0
    HIMMELBE  X3        0.0

ELEMENT TYPE

 EV HE        X                        Y
 IV HE        U

ELEMENT USES

 T  E1        HE
 V  E1        X                        X1
 V  E1        Y                        X2

GROUP USES

 E  G1        E1

ENDATA

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

INDIVIDUALS

 T  HE

 R  U         X         1.0            Y         1.0

 F                      0.25 * U * U
 G  U                   0.5 * U
 H  U         U         0.5

ENDATA