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.