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ydl359

木虫 (小有名气)

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散金: 64
红花: 4
帖子: 112
在线: 112小时
虫号: 1640744
注册: 2012-02-24
性别: GG
专业: 半导体晶体与薄膜材料

[求助] 1stOpt 4.0 复数拟合，感激不尽

Title "复数拟合";
ComplexStr=i;
Parameter a,b,c;
Variable w,z[realPart],z[imagPart];
Function z=Sqrt[a*b/(1 + i*b*c*w)]*Coth[Sqrt[a/b*(1 + i*b*c*w)]];
Data;
628318.53072 13.513 0.49932
499092.25851 13.451 0.44048
396437.57696 13.414 0.42768
314900.68123 13.407 0.43631
250139.89026 13.415 0.45154
198693.16897 13.431 0.49269
157827.33173 13.45 0.54331
125368.39643 13.462 0.60372
99582.20393 13.494 0.70649
79099.01983 13.521 0.82926
62831.85307 13.55 0.9899
49909.85417 13.581 1.1981
39644.38601 13.614 1.4565
31490.69644 13.652 1.7844
25013.98903 13.695 2.1935
19869.3169 13.746 2.7038
15782.73317 13.806 3.3398
12536.83964 13.875 4.1328
9958.22039 13.955 5.1194
7909.90198 14.046 6.3505
6283.18531 14.15 7.889
4990.92259 14.272 9.8133
3964.4386 14.418 12.219
3149.00681 14.59 15.225
2501.3989 14.807 18.99
1986.86886 15.074 23.7
1578.27332 15.393 29.568
1253.68396 15.788 36.91
995.82204 16.292 46.094
790.9902 16.924 57.642
628.31853 17.726 72.006
499.08598 18.699 89.795
396.43758 19.996 112.17
314.90696 21.658 140.1
250.13989 23.85 175.4
198.69317 26.642 219.06
157.82733 30.251 273.52
125.36211 34.864 341.46
99.5822 40.939 426.13
79.09902 48.727 532.57
62.83185 59.629 664.08
49.90985 73.127 827.3
39.64439 90.688 1032
31.4907 112.65 1283.1
25.01399 144.75 1601.4
19.86932 185.87 1989.6
15.78273 251.61 2491.7
12.53621 320.86 3084.2
9.95822 497.99 3830
7.9099 459.33 4732.4
6.28319 711.7 5864.3
4.99092 998.24 7211.8
3.96438 1277.2 8837.6
3.14901 1604 10833
2.5014 1969.4 13281
1.98693 2368.3 16340
1.57827 2801.6 20112
1.25368 3295.6 24829
0.99582 3862.4 30747
0.79099 4563.2 38139
0.62832 5461.1 47492

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1楼2013-08-31 10:26:09

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dingd

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【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
ben_ladeng: 专家考核 2013-08-31 23:11:01
ydl359: 金币+20, ★★★★★最佳答案, 非常感谢 2013-09-01 20:48:50
csgt0: 金币+2, 谢谢 2013-09-02 13:41:14

实部拟合效果很好，但虚部太差，不知公式、参数是否正确？

均方差(RMSE):7279.40258020686
残差平方和(SSE):6464743634.81611
相关系数(R): 0.124057689695011
相关系数之平方(R^2): 0.0153903103724635
确定系数(DC): 0.0153899174305932
F统计(F-Statistic): 15003.1247613546

参数最佳估算
-------------------- -------------
a -0.0109849612490104
b -2.69214632455991E-6
c 2.42055079171987

====== 结果输出 ======

文件: 数据文件-1
No 目标 z.实部计算 z.实部目标 z.虚部计算 z.虚部
1 13.513 0.0356689593135142 0.49932 0.785414369189997
2 13.451 0.0400211861187077 0.44048 0.785418565236162
3 13.414 0.0449048206257602 0.42768 0.7854238481467
4 13.407 0.0503841077660327 0.43631 0.785430498671266
5 13.415 0.0565312898292915 0.45154 0.785438870218476
6 13.431 1.36714136007177 0.49269 0.795664745760136
7 13.45 1.53386457040019 0.54331 0.79832198414044
8 13.462 1.72084471191504 0.60372 0.801665952025729
9 13.494 1.93053494090615 0.70649 0.805874170110302
10 13.521 2.16559170572407 0.82926 0.811168137588686
11 13.55 2.42886739389614 0.9899 0.817823208773165
12 13.581 2.72354304066448 1.1981 0.826184882804925
13 13.614 3.05292197113029 1.4565 0.836679769148213
14 13.652 3.42020221613916 1.7844 0.849826155285781
15 13.695 3.82831699123151 2.1935 0.866247885150891
16 13.746 4.2793149721464 2.7038 0.886670434268809
17 13.806 4.77347615430232 3.3398 0.911895357892649
18 13.875 5.30792299363982 4.1328 0.942726915394628
19 13.955 5.8750140090942 5.1194 0.979839423793372
20 14.046 6.4602221317115 6.3505 1.02352419302659
21 14.15 7.0413518338315 7.889 1.07337887683596
22 14.272 7.59075625857974 9.8133 1.12807628471289
23 14.418 8.08030600808235 12.219 1.18530225781313
24 14.59 8.48933388357989 15.225 1.24215928253152
25 14.807 8.81055677097844 18.99 1.29581929257704
26 15.074 9.05365814480874 23.7 1.34420938362881
27 15.393 9.24931178204883 29.568 1.38620898382461
28 15.788 9.45764157007064 36.91 1.42164620767898
29 16.292 9.77153239388054 46.094 1.45096453458507
30 16.924 10.3076221493929 57.642 1.47493382966076
31 17.726 11.1903906986464 72.006 1.49441434547898
32 18.699 12.5435685135138 89.795 1.51022469228086
33 19.996 14.4916713160918 112.17 1.52306319994338
34 21.658 17.1708551186778 140.1 1.53351816565823
35 23.85 20.7429678030503 175.4 1.54208357282855
36 26.642 25.4084179325746 219.06 1.54917382391442
37 30.251 31.4211341526126 273.52 1.55514202772419
38 34.864 39.1053956453268 341.46 1.56029289218908
39 40.939 48.8676533216876 426.13 1.56489094570596
40 48.727 61.2338707867695 532.57 1.56917983101025
41 59.629 76.857002512684 664.08 1.5733838283955
42 73.127 96.570787221695 827.3 1.57772660197105
43 90.688 121.425882759483 1032 1.58243913552036
44 112.65 152.738673142229 1283.1 1.58777104766962
45 144.75 192.170387704453 1601.4 1.5940056906345
46 185.87 241.806539657822 1989.6 1.60147371688819
47 251.61 304.261516838511 2491.7 1.61057016062022
48 320.86 382.815689846184 3084.2 1.62177588391415
49 497.99 481.494563431372 3830 1.63567108184733
50 459.33 605.37920544536 4732.4 1.65298254618395
51 711.7 760.5545360093 5864.3 1.6745823697408
52 998.24 954.425804100509 7211.8 1.70154357564582
53 1277.2 1195.56590427411 8837.6 1.73513998135564
54 1604 1493.40647000415 10833 1.77684196072595
55 1969.4 1857.35773420099 13281 1.82826138208445
56 2368.3 2295.05632774328 16340 1.89101595648902
57 2801.6 2808.93981275384 20112 1.96639850674344
58 3295.6 3391.83263151925 24829 2.05489906761884
59 3862.4 4022.7264164218 30747 2.15561092343755
60 4563.2 4665.46852125996 38139 2.26567769030582
61 5461.1 5274.79837937407 47492 2.380309732857