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本帖最后由 r9arrow 于 2011-4-1 14:40 编辑
我只能用1stOpt 1.5版,复数拟合的问题似乎解决不了,我用Matlab分别拟合实部、虚部,两次得到的系数差别不小,拟合效果也差很多,希望哪位高手帮忙拟合一下啊,是否模型本身不够准确?
具体:
自变量 x 实数
参数 a, b, c也为实数,初始值约 a=1.1, b=0.3, c=0.1
函数值 y 为复数,公式为: y=a*sqrt(x^2-0.25*(c^2+b*sqrt(2*c^2-b^2-4*x))^2)
数据(第1列为x, 第2列为y实部的绝对值,第3列为y虚部的绝对值)
-0.14 0.09426 2.54948E-5
-0.1398 0.09402 2.5478E-5
-0.1396 0.09379 2.54614E-5
-0.1394 0.09355 2.54452E-5
-0.1392 0.09332 2.54294E-5
-0.139 0.09308 2.54143E-5
-0.1388 0.09285 2.53999E-5
-0.1386 0.09261 2.53865E-5
-0.1384 0.09238 2.53742E-5
-0.1382 0.09214 2.53634E-5
-0.138 0.09191 2.53544E-5
-0.1378 0.09167 2.53477E-5
-0.1376 0.09144 2.53438E-5
-0.1374 0.0912 2.53435E-5
-0.1372 0.09097 2.53482E-5
-0.137 0.09073 2.53596E-5
-0.1368 0.09049 2.53807E-5
-0.1366 0.09026 2.54176E-5
-0.1364 0.09002 2.54848E-5
-0.1362 0.08978 2.56496E-5
-0.136 0.08954 2.85453E-5
-0.1358 0.08931 3.06128E-5
-0.1356 0.08907 3.20217E-5
-0.1354 0.08884 3.31413E-5
-0.1352 0.0886 3.40929E-5
-0.135 0.08836 3.49308E-5
-0.1348 0.08813 3.5685E-5
-0.1346 0.08789 3.63742E-5
-0.1344 0.08766 3.70108E-5
-0.1342 0.08742 3.7604E-5
-0.134 0.08718 3.81602E-5
-0.1338 0.08694 3.86847E-5
-0.1336 0.08671 3.91815E-5
-0.1334 0.08647 3.96537E-5
-0.1332 0.08623 4.0104E-5
-0.133 0.086 4.05347E-5
-0.1328 0.08576 4.09476E-5
-0.1326 0.08552 4.13443E-5
-0.1324 0.08528 4.17262E-5
-0.1322 0.08505 4.20943E-5
-0.132 0.08481 4.24498E-5
-0.1318 0.08457 4.27936E-5
-0.1316 0.08433 4.31265E-5
-0.1314 0.08409 4.34492E-5
-0.1312 0.08385 4.37624E-5
-0.131 0.08362 4.40666E-5
-0.1308 0.08338 4.43624E-5
-0.1306 0.08314 4.46503E-5
-0.1304 0.0829 4.49306E-5
-0.1302 0.08266 4.52038E-5
-0.13 0.08242 4.54703E-5
-0.1298 0.08218 4.57304E-5
-0.1296 0.08194 4.59844E-5
-0.1294 0.0817 4.62326E-5
-0.1292 0.08146 4.64753E-5
-0.129 0.08122 4.67127E-5
-0.1288 0.08098 4.69451E-5
-0.1286 0.08074 4.71726E-5
-0.1284 0.0805 4.73955E-5
-0.1282 0.08026 4.7614E-5
-0.128 0.08002 4.78283E-5
-0.1278 0.07978 4.80384E-5
-0.1276 0.07954 4.82447E-5
-0.1274 0.0793 4.84472E-5
-0.1272 0.07906 4.8646E-5
-0.127 0.07882 4.88414E-5
-0.1268 0.07857 4.90334E-5
-0.1266 0.07833 4.92221E-5
-0.1264 0.07809 4.94077E-5
-0.1262 0.07785 4.95903E-5
-0.126 0.07761 4.977E-5
-0.1258 0.07736 4.99469E-5
-0.1256 0.07712 5.0121E-5
-0.1254 0.07688 5.02925E-5
-0.1252 0.07664 5.04615E-5
-0.125 0.07639 5.0628E-5
-0.1248 0.07615 5.07921E-5
-0.1246 0.07591 5.09539E-5
-0.1244 0.07566 5.11135E-5
-0.1242 0.07542 5.12709E-5
-0.124 0.07518 5.14263E-5
-0.1238 0.07493 5.15795E-5
-0.1236 0.07469 5.17309E-5
-0.1234 0.07444 5.18803E-5
-0.1232 0.0742 5.20278E-5
-0.123 0.07395 5.21736E-5
-0.1228 0.07371 5.23176E-5
-0.1226 0.07346 5.24599E-5
-0.1224 0.07322 5.26006E-5
-0.1222 0.07297 5.27396E-5
-0.122 0.07273 5.28772E-5
-0.1218 0.07248 5.30132E-5
-0.1216 0.07224 5.31478E-5
-0.1214 0.07199 5.32809E-5
-0.1212 0.07174 5.34127E-5
-0.121 0.0715 5.35432E-5
-0.1208 0.07125 5.36723E-5
-0.1206 0.071 5.38002E-5
-0.1204 0.07075 5.39269E-5
-0.1202 0.07051 5.40523E-5
-0.12 0.07026 5.41767E-5
-0.1198 0.07001 5.42999E-5
-0.1196 0.06976 5.4422E-5
-0.1194 0.06952 5.45431E-5
-0.1192 0.06927 5.46631E-5
-0.119 0.06902 5.47822E-5
-0.1188 0.06877 5.49003E-5
-0.1186 0.06852 5.50175E-5
-0.1184 0.06827 5.51337E-5
-0.1182 0.06802 5.52491E-5
-0.118 0.06777 5.53636E-5
-0.1178 0.06752 5.54773E-5
-0.1176 0.06727 5.55903E-5
-0.1174 0.06702 5.57024E-5
-0.1172 0.06677 5.58138E-5
-0.117 0.06652 5.59245E-5
-0.1168 0.06627 5.60344E-5
-0.1166 0.06601 5.61437E-5
-0.1164 0.06576 5.62524E-5
-0.1162 0.06551 5.63604E-5
-0.116 0.06526 5.64678E-5
-0.1158 0.065 5.65746E-5
-0.1156 0.06475 5.66809E-5
-0.1154 0.0645 5.67866E-5
-0.1152 0.06424 5.68918E-5
-0.115 0.06399 5.69965E-5
-0.1148 0.06374 5.71007E-5
-0.1146 0.06348 5.72045E-5
-0.1144 0.06323 5.73078E-5
-0.1142 0.06297 5.74107E-5
-0.114 0.06272 5.75132E-5
-0.1138 0.06246 5.76154E-5
-0.1136 0.06221 5.77171E-5
-0.1134 0.06195 5.78186E-5
-0.1132 0.06169 5.79197E-5
-0.113 0.06144 5.80205E-5
-0.1128 0.06118 5.8121E-5
-0.1126 0.06092 5.82213E-5
-0.1124 0.06066 5.83213E-5
-0.1122 0.06041 5.8421E-5
-0.112 0.06015 5.85206E-5
-0.1118 0.05989 5.862E-5
-0.1116 0.05963 5.87192E-5
-0.1114 0.05937 5.88183E-5
-0.1112 0.05911 5.89172E-5
-0.111 0.05885 5.9016E-5
-0.1108 0.05859 5.91147E-5
-0.1106 0.05833 5.92133E-5
-0.1104 0.05807 5.93119E-5
-0.1102 0.05781 5.94104E-5
-0.11 0.05755 5.95089E-5
-0.1098 0.05728 5.96074E-5
-0.1096 0.05702 5.97059E-5
-0.1094 0.05676 5.98044E-5
-0.1092 0.05649 5.9903E-5
-0.109 0.05623 6.00017E-5
-0.1088 0.05597 6.01004E-5
-0.1086 0.0557 6.01993E-5
-0.1084 0.05544 6.02983E-5
-0.1082 0.05517 6.03974E-5
-0.108 0.0549 6.04967E-5
-0.1078 0.05464 6.05962E-5
-0.1076 0.05437 6.06959E-5
-0.1074 0.0541 6.07959E-5
-0.1072 0.05384 6.08961E-5
-0.107 0.05357 6.09966E-5
-0.1068 0.0533 6.10974E-5
-0.1066 0.05303 6.11985E-5
-0.1064 0.05276 6.13E-5
-0.1062 0.05249 6.14018E-5
-0.106 0.05222 6.1504E-5
-0.1058 0.05195 6.16067E-5
-0.1056 0.05168 6.17098E-5
-0.1054 0.0514 6.18134E-5
-0.1052 0.05113 6.19174E-5
-0.105 0.05086 6.2022E-5
-0.1048 0.05058 6.21272E-5
-0.1046 0.05031 6.22329E-5
-0.1044 0.05003 6.23392E-5
-0.1042 0.04976 6.24462E-5
-0.104 0.04948 6.25539E-5
-0.1038 0.0492 6.26622E-5
-0.1036 0.04893 6.27713E-5
-0.1034 0.04865 6.28812E-5
-0.1032 0.04837 6.29919E-5
-0.103 0.04809 6.31034E-5
-0.1028 0.04781 6.32158E-5
-0.1026 0.04753 6.33291E-5
-0.1024 0.04725 6.34433E-5
-0.1022 0.04697 6.35586E-5
-0.102 0.04668 6.36749E-5
-0.1018 0.0464 6.37923E-5
-0.1016 0.04612 6.39108E-5
-0.1014 0.04583 6.40304E-5
-0.1012 0.04555 6.41513E-5
-0.101 0.04526 6.42735E-5
-0.1008 0.04497 6.4397E-5
-0.1006 0.04468 6.45219E-5
-0.1004 0.0444 6.46482E-5
-0.1002 0.04411 6.4776E-5
-0.1 0.04382 6.49053E-5
-0.0998 0.04352 6.50363E-5
-0.0996 0.04323 6.51689E-5
-0.0994 0.04294 6.53033E-5
-0.0992 0.04265 6.54395E-5
-0.099 0.04235 6.55777E-5
-0.0988 0.04205 6.57177E-5
-0.0986 0.04176 6.58599E-5
-0.0984 0.04146 6.60042E-5
-0.0982 0.04116 6.61507E-5
-0.098 0.04086 6.62995E-5
-0.0978 0.04056 6.64508E-5
-0.0976 0.04026 6.66046E-5
-0.0974 0.03996 6.6761E-5
-0.0972 0.03965 6.69202E-5
-0.097 0.03935 6.70822E-5
-0.0968 0.03904 6.72472E-5
-0.0966 0.03873 6.74153E-5
-0.0964 0.03842 6.75867E-5
-0.0962 0.03811 6.77615E-5
-0.096 0.0378 6.79398E-5
-0.0958 0.03749 6.81218E-5
-0.0956 0.03717 6.83077E-5
-0.0954 0.03686 6.84976E-5
-0.0952 0.03654 6.86918E-5
-0.095 0.03622 6.88905E-5
-0.0948 0.0359 6.90938E-5
-0.0946 0.03558 6.9302E-5
-0.0944 0.03526 6.95153E-5
-0.0942 0.03493 6.97339E-5
-0.094 0.03461 6.99582E-5
-0.0938 0.03428 7.01884E-5
-0.0936 0.03395 7.04248E-5
-0.0934 0.03361 7.06678E-5
-0.0932 0.03328 7.09177E-5
-0.093 0.03295 7.11748E-5
-0.0928 0.03261 7.14395E-5
-0.0926 0.03227 7.17123E-5
-0.0924 0.03193 7.19936E-5
-0.0922 0.03158 7.22839E-5
-0.092 0.03123 7.25837E-5
-0.0918 0.03089 7.28936E-5
-0.0916 0.03053 7.32141E-5
-0.0914 0.03018 7.35459E-5
-0.0912 0.02982 7.38896E-5
-0.091 0.02947 7.42461E-5
-0.0908 0.0291 7.46162E-5
-0.0906 0.02874 7.50007E-5
-0.0904 0.02837 7.54005E-5
-0.0902 0.028 7.58168E-5
-0.09 0.02763 7.62506E-5
-0.0898 0.02725 7.67032E-5
-0.0896 0.02687 7.71759E-5
-0.0894 0.02648 7.76703E-5
-0.0892 0.02609 7.81879E-5
-0.089 0.0257 7.87306E-5
-0.0888 0.0253 7.93003E-5
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-0.0884 0.0245 8.05299E-5
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-0.0876 0.02282 8.34288E-5
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-0.0872 0.02195 8.51569E-5
-0.087 0.0215 8.61075E-5
-0.0868 0.02105 8.71241E-5
-0.0866 0.02059 8.82141E-5
-0.0864 0.02012 8.9386E-5
-0.0862 0.01964 9.06497E-5
-0.086 0.01915 9.20169E-5
-0.0858 0.01865 9.35014E-5
-0.0856 0.01815 9.51195E-5
-0.0854 0.01762 9.70164E-5
-0.0852 0.01709 9.89807E-5
-0.085 0.01654 1.01154E-4
-0.0848 0.01598 1.03573E-4
-0.0846 0.01539 1.06285E-4
-0.0844 0.01479 1.09349E-4
-0.0842 0.01417 1.12842E-4
-0.084 0.01352 1.16868E-4
-0.0838 0.01284 1.21566E-4
-0.0836 0.01213 1.27133E-4
-0.0834 0.01138 1.33856E-4
-0.0832 0.01058 1.42174E-4
-0.083 0.00972 1.5279E-4
-0.0828 0.00878 1.66937E-4
-0.0826 0.00773 1.87004E-4
-0.0824 0.00652 2.18455E-4
-0.0822 0.00505 2.77787E-4
-0.082 0.00293 4.73254E-4
-0.0818 4.42028E-4 0.00309
-0.0816 2.54918E-4 0.00527
-0.0814 1.94529E-4 0.00678
-0.0812 1.61977E-4 0.008
-0.081 1.40447E-4 0.00906
-0.0808 1.24915E-4 0.01
-0.0806 1.12951E-4 0.01085
-0.0804 1.03324E-4 0.01164
-0.0802 9.53283E-5 0.01237
-0.08 8.85285E-5 0.01306
-0.0798 8.26351E-5 0.01371
-0.0796 7.74497E-5 0.01433
-0.0794 7.28296E-5 0.01492
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-0.079 6.48905E-5 0.01602
-0.0788 6.14308E-5 0.01654
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-0.0784 5.52855E-5 0.01752
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-0.0696 5.14145E-6 0.03063
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-0.0552 6.7505E-5 0.03913
-0.055 6.85193E-5 0.03918
-0.0548 6.95418E-5 0.03924
-0.0546 7.05726E-5 0.03929
-0.0544 7.16117E-5 0.03934
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-0.0526 8.13754E-5 0.03973
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