 
TOMS454_PRB3
  Test TOMS algorithm 454, which
  implements the complex method of
  constrained optimization.
 
  The Beveridge and Schechter problem.
 

 ITERATION        1
                 COORDINATES AT POINT   2
  1.3180    0.1745
                 COORDINATES AT POINT   3
 -0.3388   -1.2272
                 COORDINATES AT POINT   4
 -0.9697   -1.1032
                      FUNCTION VALUES
   -1.2500     -1.3506     -5.6640     -6.5835
                      CORRECTED POINT
  1.1632    0.1381
                      FUNCTION VALUES
   -1.2500     -1.3506     -5.6640     -1.1827
  CENTROID COORDINATES    0.3264   -0.3509
 

 ITERATION        2
                      CORRECTED POINT
  1.4135    0.7592
                      FUNCTION VALUES
   -1.2500     -1.3506     -0.8925     -1.1827
  CENTROID COORDINATES    0.8271    0.1042
 

 ITERATION        3
                      CORRECTED POINT
  0.2620    0.4610
                      FUNCTION VALUES
   -1.2500     -0.3471     -0.8925     -1.1827
  CENTROID COORDINATES    0.8589    0.2991
 

 ITERATION        4
                      CORRECTED POINT
  1.4731    0.7471
                      FUNCTION VALUES
   -1.0108     -0.3471     -0.8925     -1.1827
  CENTROID COORDINATES    0.9462    0.4528
 

 ITERATION        5
                      CORRECTED POINT
  0.9756    0.9922
                      FUNCTION VALUES
   -1.0108     -0.3471     -0.8925     -0.2263
  CENTROID COORDINATES    1.0495    0.6558
 

 ITERATION        6
                      CORRECTED POINT
  0.1175    0.7250
                      FUNCTION VALUES
   -0.2219     -0.3471     -0.8925     -0.2263
  CENTROID COORDINATES    0.8837    0.7375
 

 ITERATION        7
                      CORRECTED POINT
  0.1391    0.7154
                      FUNCTION VALUES
   -0.2219     -0.3471     -0.2112     -0.2263
  CENTROID COORDINATES    0.4517    0.7261
 

 ITERATION        8
                      CORRECTED POINT
  0.6042    1.2656
                      FUNCTION VALUES
   -0.2219     -0.0814     -0.2112     -0.2263
  CENTROID COORDINATES    0.4108    0.8109
 

 ITERATION        9
                      CORRECTED POINT
  0.0631    0.8727
                      FUNCTION VALUES
   -0.2219     -0.0814     -0.2112     -0.2071
  CENTROID COORDINATES    0.2870    0.9020
 

 ITERATION       10
                      CORRECTED POINT
  0.4655    1.2453
                      FUNCTION VALUES
   -0.0614     -0.0814     -0.2112     -0.2071
  CENTROID COORDINATES    0.2688    0.9512
 

 ITERATION       11
                      CORRECTED POINT
  0.5326    1.2710
                      FUNCTION VALUES
   -0.0614     -0.0814     -0.0745     -0.2071
  CENTROID COORDINATES    0.3776    1.1279
 

 ITERATION       12
                      CORRECTED POINT
  0.5724    1.2702
                      FUNCTION VALUES
   -0.0614     -0.0814     -0.0745     -0.0783
  CENTROID COORDINATES    0.5341    1.2606
 

 ITERATION       13
                      CORRECTED POINT
  0.4186    1.2577
                      FUNCTION VALUES
   -0.0614     -0.0730     -0.0745     -0.0783
  CENTROID COORDINATES    0.5235    1.2622
 

 ITERATION       14
                      CORRECTED POINT
  0.4071    1.2500
                      FUNCTION VALUES
   -0.0614     -0.0730     -0.0745     -0.0711
  CENTROID COORDINATES    0.4722    1.2580
 

 ITERATION       15
                      CORRECTED POINT
  0.3972    1.2445
                      FUNCTION VALUES
   -0.0614     -0.0730     -0.0703     -0.0711
  CENTROID COORDINATES    0.4304    1.2510
 

 ITERATION       16
                      CORRECTED POINT
  0.4294    1.2322
                      FUNCTION VALUES
   -0.0614     -0.0589     -0.0703     -0.0711
  CENTROID COORDINATES    0.4233    1.2466
 

 ITERATION       17
                      CORRECTED POINT
  0.4613    1.2285
                      FUNCTION VALUES
   -0.0614     -0.0589     -0.0703     -0.0537
  CENTROID COORDINATES    0.4307    1.2407
 

 ITERATION       18
                      CORRECTED POINT
  0.5234    1.2234
                      FUNCTION VALUES
   -0.0614     -0.0589     -0.0505     -0.0537
  CENTROID COORDINATES    0.4521    1.2353
 

 ITERATION       19
                      CORRECTED POINT
  0.4790    1.2056
                      FUNCTION VALUES
   -0.0427     -0.0589     -0.0505     -0.0537
  CENTROID COORDINATES    0.4714    1.2281
 

 ITERATION       20
                      CORRECTED POINT
  0.5639    1.2023
                      FUNCTION VALUES
   -0.0427     -0.0450     -0.0505     -0.0537
  CENTROID COORDINATES    0.4879    1.2192
 

 ITERATION       21
                      CORRECTED POINT
  0.6011    1.1870
                      FUNCTION VALUES
   -0.0427     -0.0450     -0.0505     -0.0452
  CENTROID COORDINATES    0.5221    1.2104
 

 ITERATION       22
                      CORRECTED POINT
  0.5800    1.1656
                      FUNCTION VALUES
   -0.0427     -0.0450     -0.0338     -0.0452
  CENTROID COORDINATES    0.5480    1.1983
 

 ITERATION       23
                      CORRECTED POINT
  0.4628    1.1966
                      FUNCTION VALUES
   -0.0427     -0.0450     -0.0338     -0.0401
  CENTROID COORDINATES    0.5410    1.1912
 

 ITERATION       24
                      CORRECTED POINT
  0.4336    1.1724
                      FUNCTION VALUES
   -0.0427     -0.0341     -0.0338     -0.0401
  CENTROID COORDINATES    0.5073    1.1893
 

 ITERATION       25
                      CORRECTED POINT
  0.5092    1.1426
                      FUNCTION VALUES
   -0.0204     -0.0341     -0.0338     -0.0401
  CENTROID COORDINATES    0.4921    1.1782
 

 ITERATION       26
                      CORRECTED POINT
  0.5659    1.1129
                      FUNCTION VALUES
   -0.0204     -0.0341     -0.0338     -0.0171
  CENTROID COORDINATES    0.5076    1.1602
 

 ITERATION       27
                      CORRECTED POINT
  0.6285    1.1195
                      FUNCTION VALUES
   -0.0204     -0.0308     -0.0338     -0.0171
  CENTROID COORDINATES    0.5517    1.1404
 

 ITERATION       28
                      CORRECTED POINT
  0.5521    1.0722
                      FUNCTION VALUES
   -0.0204     -0.0308     -0.0079     -0.0171
  CENTROID COORDINATES    0.5679    1.1250
 

 ITERATION       29
                      CORRECTED POINT
  0.4305    1.0958
                      FUNCTION VALUES
   -0.0204     -0.0140     -0.0079     -0.0171
  CENTROID COORDINATES    0.5424    1.1092
 

 ITERATION       30
                      CORRECTED POINT
  0.5252    1.0300
                      FUNCTION VALUES
   -0.0015     -0.0140     -0.0079     -0.0171
  CENTROID COORDINATES    0.5162    1.0936
 

 ITERATION       31
                      CORRECTED POINT
  0.4203    1.0050
                      FUNCTION VALUES
   -0.0015     -0.0140     -0.0079     -0.0064
  CENTROID COORDINATES    0.5026    1.0660
 

 ITERATION       32
                      CORRECTED POINT
  0.5438    0.9967
                      FUNCTION VALUES
   -0.0015     -0.0019     -0.0079     -0.0064
  CENTROID COORDINATES    0.4992    1.0357
 

 ITERATION       33
                      CORRECTED POINT
  0.4602    0.9705
                      FUNCTION VALUES
   -0.0015     -0.0019     -0.0025     -0.0064
  CENTROID COORDINATES    0.4964    1.0105
 

 ITERATION       34
                      CORRECTED POINT
  0.5388    0.9971
                      FUNCTION VALUES
   -0.0015     -0.0019     -0.0025     -0.0015
  CENTROID COORDINATES    0.5097    0.9990
 

 ITERATION       35
                      CORRECTED POINT
  0.5421    1.0109
                      FUNCTION VALUES
   -0.0015     -0.0019     -0.0019     -0.0015
  CENTROID COORDINATES    0.5359    1.0079
 

 ITERATION       36
                      CORRECTED POINT
  0.5244    1.0335
                      FUNCTION VALUES
   -0.0015     -0.0017     -0.0019     -0.0015
  CENTROID COORDINATES    0.5354    1.0127
 

 ITERATION       37
                      CORRECTED POINT
  0.5130    1.0322
                      FUNCTION VALUES
   -0.0015     -0.0017     -0.0012     -0.0015
  CENTROID COORDINATES    0.5294    1.0202
 

 ITERATION       38
                      CORRECTED POINT
  0.5274    1.0019
                      FUNCTION VALUES
   -0.0015     -0.0008     -0.0012     -0.0015
  CENTROID COORDINATES    0.5257    1.0197
 

 ITERATION       39
                      CORRECTED POINT
  0.5280    0.9849
                      FUNCTION VALUES
   -0.0010     -0.0008     -0.0012     -0.0015
  CENTROID COORDINATES    0.5264    1.0104
 

 ITERATION       40
                      CORRECTED POINT
  0.5020    1.0184
                      FUNCTION VALUES
   -0.0010     -0.0008     -0.0012     -0.0003
  CENTROID COORDINATES    0.5228    1.0063
 

 ITERATION       41
                      CORRECTED POINT
  0.5231    0.9819
                      FUNCTION VALUES
   -0.0010     -0.0008     -0.0009     -0.0003
  CENTROID COORDINATES    0.5191    1.0017
 

 ITERATION       42
                      CORRECTED POINT
  0.5038    1.0213
                      FUNCTION VALUES
   -0.0005     -0.0008     -0.0009     -0.0003
  CENTROID COORDINATES    0.5175    1.0007
 

 ITERATION       43
                      CORRECTED POINT
  0.5071    1.0242
                      FUNCTION VALUES
   -0.0005     -0.0008     -0.0006     -0.0003
  CENTROID COORDINATES    0.5110    1.0138
 

 ITERATION       44
                      CORRECTED POINT
  0.5005    1.0244
                      FUNCTION VALUES
   -0.0005     -0.0006     -0.0006     -0.0003
  CENTROID COORDINATES    0.5043    1.0213
 

 ITERATION       45
                      CORRECTED POINT
  0.4956    1.0176
                      FUNCTION VALUES
   -0.0005     -0.0006     -0.0003     -0.0003
  CENTROID COORDINATES    0.5021    1.0213
 

 ITERATION       46
                      CORRECTED POINT
  0.5003    1.0121
                      FUNCTION VALUES
   -0.0005     -0.0001     -0.0003     -0.0003
  CENTROID COORDINATES    0.5004    1.0191
 

 ITERATION       47
                      CORRECTED POINT
  0.4934    1.0093
                      FUNCTION VALUES
   -0.0001     -0.0001     -0.0003     -0.0003
  CENTROID COORDINATES    0.4993    1.0160
 

 ITERATION       48
                      CORRECTED POINT
  0.4892    1.0061
                      FUNCTION VALUES
   -0.0001     -0.0001     -0.0003     -0.0002
  CENTROID COORDINATES    0.4964    1.0130
 

 ITERATION       49
                      CORRECTED POINT
  0.4927    0.9981
                      FUNCTION VALUES
   -0.0001     -0.0001     -0.0001     -0.0002
  CENTROID COORDINATES    0.4943    1.0092
 

 ITERATION       50
                      CORRECTED POINT
  0.5036    1.0071
                      FUNCTION VALUES
   -0.0001     -0.0001     -0.0001     -0.0001
  CENTROID COORDINATES    0.4955    1.0065
 

 ITERATION       51
                      CORRECTED POINT
  0.4917    0.9953
                      FUNCTION VALUES
   -0.0001     -0.0001     -0.0001     -0.0001
  CENTROID COORDINATES    0.4966    1.0048
 

 ITERATION       52
                      CORRECTED POINT
  0.4977    0.9943
                      FUNCTION VALUES
    0.0000     -0.0001     -0.0001     -0.0001
  CENTROID COORDINATES    0.4960    1.0002
 

 ITERATION       53
                      CORRECTED POINT
  0.5021    1.0028
                      FUNCTION VALUES
    0.0000      0.0000     -0.0001     -0.0001
  CENTROID COORDINATES    0.4980    0.9998
 

 ITERATION       54
                      CORRECTED POINT
  0.4955    0.9956
                      FUNCTION VALUES
    0.0000      0.0000     -0.0001      0.0000
  CENTROID COORDINATES    0.4975    0.9984
 

 ITERATION       55
                      CORRECTED POINT
  0.5021    0.9972
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.4984    0.9975
 

 ITERATION       56
                      CORRECTED POINT
  0.5039    0.9997
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5006    0.9981
 

 ITERATION       57
                      CORRECTED POINT
  0.5035    1.0008
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5027    0.9999
 

 ITERATION       58
                      CORRECTED POINT
  0.5008    1.0009
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5026    1.0002
 

 ITERATION       59
                      CORRECTED POINT
  0.4992    0.9996
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5017    1.0003
 

 ITERATION       60
                      CORRECTED POINT
  0.5002    1.0024
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5007    1.0011
 

 ITERATION       61
                      CORRECTED POINT
  0.4988    0.9998
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.5001    1.0010
 

 ITERATION       62
                      CORRECTED POINT
  0.4994    0.9994
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.4996    1.0001
 

 ITERATION       63
                      CORRECTED POINT
  0.5011    1.0002
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.4998    1.0000
 

 ITERATION       64
                      CORRECTED POINT
  0.4996    0.9994
                      FUNCTION VALUES
    0.0000      0.0000      0.0000      0.0000
  CENTROID COORDINATES    0.4999    0.9998
 

 ITERATION       65
 
  The exact solution is:
 
    F(0.5,1.0) = 0.0
 
TOMS454_PRB3
  Normal end of execution.
