MARATOS.SIF

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* SET UP THE INITIAL DATA *
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NAME          MARATOS

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

*   The Maratos problem with penalty parameter = 0.000001

*   Source:
*   A.A. Brown and M. Bartholomew-Biggs,
*   "Some effective methods for unconstrained optimization based on
*   the solution of ordinary differential equations",
*   Technical Report 178, Numerical Optimization Centre, Hatfield
*   Polytechnic, (Hatfield, UK), 1987.

*   SIF input: Nick Gould, June 1990.

*   classification QQR2-AN-2-1

*   Penalty parameter

 RE TAU                 0.000001

VARIABLES

    X1
    X2

GROUPS

 N  F         X1        -1.0
 E  C

CONSTANTS

 Z  MARATOS   F                        TAU
    MARATOS   C         1.0

BOUNDS

 FR MARATOS   'DEFAULT'

START POINT

    MARATOS   X1        1.1
    MARATOS   X2        0.1

ELEMENT TYPE

 EV SQ        X

ELEMENT USES

 T  X1SQ      SQ
 V  X1SQ      X                        X1

 T  X2SQ      SQ
 V  X2SQ      X                        X2

GROUP USES

 ZE F         X1SQ                     TAU
 ZE F         X2SQ                     TAU
 E  C         X1SQ                     X2SQ

OBJECT BOUND

*   Solution

*   LO SOLTN            1.0

ENDATA

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

INDIVIDUALS

 T  SQ
 F                      X * X
 G  X                   X + X
 H  X         X         2.0

ENDATA