HS31.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS31

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

*   Source: problem 31 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: N. Gould, Dec 1989.

*   classification QQR2-AN-3-1

 IE 1                            1
 IE 3                            3

VARIABLES

    X1
    X2
    X3

GROUPS

 N  OBJ

 G  CONSTR

CONSTANTS

    C1        CONSTR           1.0

BOUNDS

 LO BOUNDS    X1             -10.0
 LO BOUNDS    X2               1.0
 LO BOUNDS    X3             -10.0
 UP BOUNDS    X1              10.0
 UP BOUNDS    X2              10.0
 UP BOUNDS    X3               1.0

START POINT

 XV START     'DEFAULT'        1.0

ELEMENT TYPE

 EV SQ        V1
 EV 2PR       V1                       V2

ELEMENT USES

 DO I         1                        3
 XT OBJE(I)   SQ
 ZV OBJE(I)   V1                       X(I)
 ND

 T  CONSTR1   2PR
 V  CONSTR1   V1                       X1
 V  CONSTR1   V2                       X2

GROUP USES

 E  OBJ       OBJE1     9.0            OBJE2
 E  OBJ       OBJE3     9.0
 E  CONSTR    CONSTR1

OBJECT BOUND

*  Solution

*LO SOLTN               6.0

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS31

INDIVIDUALS

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

 T  2PR
 F                      V1 * V2
 G  V1                  V2
 G  V2                  V1
 H  V1        V2        1.0

ENDATA