KIWCRESC.SIF

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* SET UP THE INITIAL DATA *
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NAME          KIWCRESC

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

*   A nonlinear minmax problem in two variables.

*   Source: 
*   K.C. Kiwiel,
*   "Methods of Descent for Nondifferentiable Optimization"
*   Lectures Notes in Mathematics 1133, Springer Verlag, 1985.

*   SIF input: Ph. Toint, Nov 1993.

*   classification  LQR2-AN-3-2

VARIABLES

    X1
    X2
    U

GROUPS

 XN OBJ       U         1.0

 XL F1        U         -1.0           X2        1.0
 XL F2        U         -1.0           X2        1.0

CONSTANTS

    KIWCRESC  F1        1.0
    KIWCRESC  F2        -1.0

BOUNDS

*   All variables are free

 FR KIWCRESC  'DEFAULT'

START POINT

    KIWCRESC  X1        -1.5
    KIWCRESC  X2        2.0

ELEMENT TYPE

 EV SSQ       V
 EP SSQ       S

ELEMENT USES

 T  X1SQ      SSQ
 V  X1SQ      V                        X1
 P  X1SQ      S         0.0

 T  X2SQ      SSQ
 V  X2SQ      V                        X2
 P  X2SQ      S         1.0

GROUP USES

 E  F1        X1SQ      1.0            X2SQ      1.0
 E  F2        X1SQ      -1.0           X2SQ      -1.0


OBJECT BOUND

*   Solution

*LO SOLTN               0.0

ENDATA

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

TEMPORARIES

 R  VMS

INDIVIDUALS

 T  SSQ
 A  VMS                 V - S
 F                      VMS * VMS
 G  V                   2.0 * VMS
 H  V         V         2.0

ENDATA