(maxima.info)Examples for cobyla

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47.3 Examples for cobyla
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Minimize x1*x2 with 1-x1^2-x2^2 >= 0.  The theoretical solution is x1 =
1/sqrt(2), x2 = -1/sqrt(2).

     (%i1) load("fmin_cobyla")$
     (%i2) fmin_cobyla(x1*x2, [x1, x2], [1,1],
                       constraints = [x1^2+x2^2<=1], iprint=1);
        Normal return from subroutine COBYLA

        NFVALS =   66   F =-5.000000E-01    MAXCV = 1.999845E-12
        X = 7.071058E-01  -7.071077E-01
     (%o2) [[x1 = 0.70710584934848, x2 = - 0.7071077130248],
            - 0.49999999999926, [[-1.999955756559757e-12],[]], 66]

   There are additional examples in the share/cobyla/ex directory.