GOTTFR.SIF

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* SET UP THE INITIAL DATA *
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NAME          GOTTFR

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

*   The GOTTFR problem from Sisser.

*   Source:  problem 208 (p. 56) in
*   A.R. Buckley,
*   "Test functions for unconstrained minimization",
*   TR 1989CS-3, Mathematics, statistics and computing centre,
*   Dalhousie University, Halifax (CDN), 1989.

*   SIF input: Ph. Toint, Dec 1989.

*   classification NQR2-AN-2-2

VARIABLES

    X1
    X2

GROUPS

 E  G1        X1        1.0
 E  G2        X2        1.0

BOUNDS

 FR GOTTFR    'DEFAULT' 

START POINT

 XV GOTTFR    'DEFAULT' 0.5

ELEMENT TYPE

 EV ET1       X                        Y
 EV ET2       X                        Y

ELEMENT USES

 T  E1        ET1
 V  E1        X                        X1
 V  E1        Y                        X2

 T  E2        ET2
 V  E2        X                        X1
 V  E2        Y                        X2

GROUP USES

 E  G1        E1
 E  G2        E2

ENDATA

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

TEMPORARIES

 R  FA
 R  FB

INDIVIDUALS

*   Element type 1

 T  ET1

 A  FA                  X + 3.0 * Y
 A  FB                  1.0 - X

 F                      -0.1136 * FA * FB
 G  X                   -0.1136 * ( FB - FA )
 G  Y                   -0.3408 * FB
 H  X         X         0.2272
 H  X         Y         0.3408

*   Element type 2

 T  ET2

 A  FA                  2.0 * X - Y
 A  FB                  1.0 - Y

 F                      7.5 * FA * FB
 G  X                   15.0 * FB
 G  Y                   - 7.5 * ( FB + FA )
 H  X         Y         -15.0
 H  Y         Y         15.0

ENDATA