June 24 2002   1:32:12.915 PM
 
PRAXIS_PRB
  Test the PRAXIS routine for minimization of a scalar
  function of N variables.
 
TEST01
  The Beale function.
 
  Initial point:
 
     1  0.100000    
     2  0.100000    
  Function value =    12.9910    
 
  Computed minimizer:
 
     1   3.00000    
     2  0.500000    
  Function value =   0.639488E-12
 
TEST02
  The Box function.
 
  Initial point:
 
     1   0.00000    
     2   10.0000    
     3   20.0000    
  Function value =    1031.15    
 
  Computed minimizer:
 
     1   1.01253    
     2   9.84920    
     3  0.991425    
  Function value =   0.110587E-04
 
TEST03
  The Chebyquad function.
 
  Initial point:
 
     1  0.111111    
     2  0.222222    
     3  0.333333    
     4  0.444444    
     5  0.555556    
     6  0.666667    
     7  0.777778    
     8  0.888889    
  Function value =   0.386177E-01
 
  Computed minimizer:
 
     1  0.430687E-01
     2  0.192804    
     3  0.266420    
     4  0.500164    
     5  0.499323    
     6  0.733479    
     7  0.806585    
     8  0.956666    
  Function value =   0.351793E-02
 
TEST04
  The Cube function.
 
  Initial point:
 
     1  -1.20000    
     2  -1.00000    
  Function value =    57.8384    
 
  Computed minimizer:
 
     1   1.00002    
     2   1.00005    
  Function value =   0.349942E-09
 
TEST05
  The Fletcher-Powell Helix function.
 
  Initial point:
 
     1  -1.00000    
     2   0.00000    
     3   0.00000    
  Function value =    10000.0    
 
  Computed minimizer:
 
     1   1.00000    
     2 -0.400869E-07
     3 -0.644577E-07
  Function value =   0.359469E-12
 
TEST06
  The Hilbert function.
 
  Initial point:
 
     1   1.00000    
     2   1.00000    
     3   1.00000    
     4   1.00000    
     5   1.00000    
     6   1.00000    
     7   1.00000    
     8   1.00000    
     9   1.00000    
    10   1.00000    
  Function value =    13.3754    
 
  Computed minimizer:
 
     1  0.747048E-02
     2 -0.138260    
     3  0.537221    
     4 -0.470134    
     5 -0.420289    
     6  0.374041    
     7  0.104500    
     8  0.914980E-01
     9  0.419648    
    10 -0.511623    
  Function value =   0.451971E-05
 
TEST07
  The Powell 3D function.
 
  Initial point:
 
     1   0.00000    
     2   1.00000    
     3   2.00000    
  Function value =    1.50000    
 
  Computed minimizer:
 
     1  0.999722    
     2   1.00002    
     3   1.00016    
  Function value =    0.00000    
 
TEST08
  The Rosenbrock function.
 
  Initial point:
 
     1  -1.20000    
     2  -1.20000    
  Function value =    701.800    
 
  Computed minimizer:
 
     1   1.00000    
     2   1.00000    
  Function value =   0.159872E-10
 
TEST09
  The Powell Singular function.
 
  Initial point:
 
     1   3.00000    
     2  -1.00000    
     3   0.00000    
     4   1.00000    
  Function value =    215.000    
 
  Computed minimizer:
 
     1  0.931008E-02
     2 -0.930990E-03
     3  0.559059E-02
     4  0.559078E-02
  Function value =   0.234360E-07
 
TEST10
  The Tridiagonal function.
 
  Initial point:
 
     1   0.00000    
     2   0.00000    
     3   0.00000    
     4   0.00000    
  Function value =    0.00000    
 
  Computed minimizer:
 
     1   4.00004    
     2   3.00002    
     3   2.00001    
     4  0.999998    
  Function value =   -4.00000    
 
TEST11
  The Watson function.
 
  Initial point:
 
     1   0.00000    
     2   0.00000    
     3   0.00000    
     4   0.00000    
     5   0.00000    
     6   0.00000    
  Function value =    30.0000    
 
  Computed minimizer:
 
     1 -0.213384E-01
     2  0.999634    
     3 -0.112172    
     4  0.892224    
     5  -1.09141    
     6  0.818462    
  Function value =   0.282607E-02
 
TEST12
  The Wood function.
 
  Initial point:
 
     1  -3.00000    
     2  -1.00000    
     3  -3.00000    
     4  -1.00000    
  Function value =    19192.0    
 
  Computed minimizer:
 
     1  0.999421    
     2  0.998852    
     3   1.00052    
     4   1.00100    
  Function value =   0.147679E-05
 
PRAXIS_PRB
  Normal end of execution.