HS5.SIF

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* SET UP THE INITIAL DATA *
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NAME          HS5

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

*   Source: problem 5 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: A.R. Conn March 1990

*   classification OBR2-AN-2-0

VARIABLES

    X1
    X2

GROUPS

 N  G1        X1        1.0            X2        1.0
 N  G2        X1        1.0            X2        -1.0
 N  G3        X1        -1.5           X2        2.5

CONSTANTS

    HS5       G3        -1.0

BOUNDS

 LO HS5       X1        -1.5
 UP HS5       X1        4.0
 LO HS5       X2        -3.0
 UP HS5       X2        3.0

GROUP TYPE

 GV SINE      GVAR
 GV SQ        GVAR

GROUP USES

 T  G1        SINE
 T  G2        SQ

OBJECT BOUND

*   Problem is trivially bounded below by -13.5

 LO HS5                 -13.5

*   Solution

*LO SOLTN               -1.9132229

ENDATA

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* SET UP THE GROUPS *
* ROUTINE           *
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GROUPS        HS5

INDIVIDUALS

 T  SINE
 F                      SIN(GVAR)
 G                      COS(GVAR)
 H                      -SIN(GVAR)

 T  SQ
 F                      GVAR*GVAR
 G                      2.0*GVAR
 H                      2.0

ENDATA