HS11.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS11

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

*   Source: problem 11 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: Ph. L. Toint, October 1990.

*   classification SQR2-AN-2-1

VARIABLES

    X1
    X2

GROUPS

 N  OBJ

 G  CON1      X2        1.0

CONSTANTS

    HS11      OBJ       25.0

BOUNDS

 FR HS11      'DEFAULT'

START POINT

    HS11      X1        4.9
    HS11      X2        0.1

ELEMENT TYPE

 EV SSQ       V1
 EP SSQ       SH

ELEMENT USES

 XT 'DEFAULT' SSQ

 V  E1        V1                       X1
 P  E1        SH        5.0

 V  E2        V1                       X2
 P  E2        SH        0.0

 V  E3        V1                       X1
 P  E3        SH        0.0

GROUP USES

 E  OBJ       E1                       E2
 E  CON1      E3        -1.0

OBJECT BOUND

 LO HS11                -25.0

*   Solution

*LO SOLTN               -8.49846

ENDATA

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* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
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ELEMENTS      HS11

TEMPORARIES

 R  X

INDIVIDUALS

 T  SSQ
 A  X                   V1 - SH
 F                      X * X
 G  V1                  X + X
 H  V1        V1        2.0

ENDATA