HIMMELBD.SIF

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

NAME          HIMMELBD

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

*   A 2 variables problem by Himmelblau.

*   Source: problem 29 in
*   D.H. Himmelblau,
*   "Applied nonlinear programming",
*   McGraw-Hill, New-York, 1972.

*   See Buckley#86 (p. 64)

*   SIF input: Ph. Toint, Dec 1989.

*   classification NQR2-AN-2-2

VARIABLES

    X1
    X2

GROUPS

 E  G1        X2        12.0
 E  G2        X1        84.0           X2        2324.0

CONSTANTS

    HIMMELBD  G1        1.0
    HIMMELBD  G2        681.0

BOUNDS

 FR HIMMELBD  'DEFAULT'

START POINT

 XV HIMMELBD  'DEFAULT' 1.0

ELEMENT TYPE

 EV SQ        X

ELEMENT USES

 XT 'DEFAULT' SQ

 V  E1        X                        X1
 V  E2        X                        X1
 V  E3        X                        X2

GROUP USES

 E  G1        E1
 E  G2        E2        49.0           E3        49.0

ENDATA

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

ELEMENTS      HIMMELBD

INDIVIDUALS

 T  SQ

 F                      X * X
 G  X                   X + X
 H  X         X         2.0

ENDATA