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我是xingxing新虫 (小有名气)
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[求助]
10参数非线性方程组 求助 已有2人参与
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a+d+2*e+2*f+2*g+2*p=0.05 b+d+2*e+2*g+h+m+n+p=0.025 d/(a*b*c)=10^9.55 e/((a^2)*(b^2))=10^14.43 f*c/((a^2)*(b^2))=10^10.85 g*(c^2)/((a^2)*(b^2))=10^5.87 p*c/(a^2*b)=10^4.92 m*c/h=10^(-2.92) n*c/m=10^(-4.34) b*c/n=10^(-5.69) C值从3变到9 间隔为0.1 。 每取一个c值，求出对应的其他值。‘ 有大神可以通过编程帮忙解决吗？不胜感激。’ [ Last edited by 独孤神宇 on 2018-7-19 at 15:23 ] |
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独孤神宇
版主 (知名作家)
- 应助: 490 (硕士)
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- 性别: GG
- 专业: 机械动力学
- 管辖: 计算模拟
【答案】应助回帖
感谢参与，应助指数 +1
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初始值太难试了，可以考虑用 1stOpt ，这还是只是一个参数的 c=3的情况。 function example_18_7_18 c=3; x0=[1;1;1;1;1;1;1;0.1;0.1;0.1]; %% 设定初始值 options=optimset('MaxFunEvals',20000,'MaxIter',2000); [x,fval,exitflag]=fsolve(@f,x0,options) function F=f(x) %%% 待求方程组 F1=x(1)+x(3)+2*x(4)+2*x(5)+2*x(6)+2*x(10)-0.05; F2=x(2)+x(3)+2*x(4)+2*x(6)+x(7)+x(8)+x(9)+x(10)-0.025; F3=x(3)/(x(1)*x(2)*c)-10^9.55; F4=x(4)/((x(1)^2)*(x(2)^2))-10^14.43; F5=x(5)*c/((x(1)^2)*(x(2)^2))-10^10.85; F6=x(6)*(c^2)/((x(1)^2)*(x(2)^2))-10^5.87; F7=x(10)*c/(x(1)^2*x(2))-10^4.92; F8=x(8)*c/x(7)-10^(-2.92); F9=x(9)*c/x(8)-10^(-4.34); F10=x(2)*c/x(9)-10^(-5.69); F=[F1;F2;F3;F4;F5;F6;F7;F8;F9;F10]; end end |
2楼2018-07-18 22:21:32
我是xingxing
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3楼2018-07-18 23:46:30
独孤神宇
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- 专业: 机械动力学
- 管辖: 计算模拟
4楼2018-07-19 15:20:05
我是xingxing
新虫 (小有名气)
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5楼2018-07-20 09:46:39
dingd
铁杆木虫 (职业作家)
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【答案】应助回帖
★ ★ ★ ★ ★
独孤神宇: 金币+5, 鼓励交流 2019-01-11 18:17:50
独孤神宇: 金币+5, 鼓励交流 2019-01-11 18:17:50
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循环常数 c a d e f g p b h m n 3 0.0499999663772876 3.36227036802754E-8 3.27384560196494E-21 6.38132567477509E-10 -8.16098597621883E-12 4.37884765627346E-15 6.31744785855802E-17 0.0249899513814459 1.00148432562395E-5 1.52589825196528E-10 3.1 0.050000364048167 -3.64047900641098E-7 -6.65535556397317E-14 6.4807312759217E-19 -4.79994086289123E-10 -4.74120975983893E-14 -6.84012611314153E-16 0.0249903488929476 1.0015002556122E-5 1.52586774879637E-10 3.2 0.0499875979373606 1.24020594090257E-5 3.655248633518E-16 -7.18998547230027E-15 1.70325252391102E-18 1.61477110276443E-12 2.33082831163616E-14 0.0249775878979079 1.00098885307278E-5 1.52513393663447E-10 3.3 0.0499997297618653 2.7023802339715E-7 6.46792941156169E-18 -7.59103204465832E-5 1.32314299316142E-5 3.51997400346152E-14 5.0783801356782E-16 0.0249897147988528 1.00147621062301E-5 1.57398052488706E-10 3.4 0.0500002216926392 -2.21692581496193E-7 -8.85529372633052E-17 -4.18225067595744E-17 -1.0889781865251E-18 -2.887224667492E-14 -4.16541211568803E-16 0.0249902065944862 1.00149455340976E-5 1.52590443913711E-10 3.5 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 3.6 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 3.7 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 3.8 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 3.9 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 4 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 4.1 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 4.2 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 4.3 0.050000221688607 -2.21688549280891E-7 -1.8646507947821E-18 -5.54465411794783E-24 -1.01540911064612E-22 -2.88717216713529E-14 -4.16533635418131E-16 0.0249902065904557 1.0014945532482E-5 1.52590444080884E-10 4.4 0.0500000001341774 -1.34177382135254E-10 1.26839138880831E-16 7.63982983942496E-18 6.74758420503589E-19 -1.59810076904653E-17 -2.52108828371288E-19 0.0249899851248092 1.00148567790594E-5 1.52589092019233E-10 4.5 0.0500000001342152 -1.3421518044364E-10 8.88856869984281E-20 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 4.6 0.0500000001342152 -1.3421518044364E-10 8.88856869984281E-20 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 4.7 0.0500000001342152 -1.3421518044364E-10 8.88856869984281E-20 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 4.8 0.0500000001342152 -1.3421518044364E-10 7.8707022930354E-22 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 4.9 0.0500000001342152 -1.3421518044364E-10 7.8707022930354E-22 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 5 0.0500000001342152 -1.3421518044364E-10 7.8707022930354E-22 3.8376522077506E-23 -4.90381021948797E-23 -1.74794550242988E-17 -2.52179848442357E-19 0.024989985124847 1.00148567790739E-5 1.52589091620518E-10 5.1 0.0500000001342287 -1.34228655891292E-10 5.43858450760672E-10 9.82709255268019E-10 -3.40079493959168E-9 -1.74807031906875E-17 -2.5219708769787E-19 0.024989985124847 1.00148567796467E-5 1.52596814196425E-10 5.2 0.0500027962811708 -2.79628037440258E-6 1.85873797072583E-17 -3.04974166688838E-15 3.89499005199938E-20 -3.65536080603002E-13 -5.25369876911844E-15 0.024992780151305 1.00159768993757E-5 1.5260615962657E-10 5.3 0.0500027962699152 -2.79626912101668E-6 -6.78634087347917E-16 3.42457937717097E-19 9.98935586151575E-19 -3.65533856760992E-13 -5.25367762724966E-15 0.0249927801400447 1.00159768948625E-5 1.5260615587564E-10 5.4 0.0500027962440676 -2.79624333922335E-6 1.79398767960911E-16 5.83269665811617E-18 3.76042261587254E-18 -3.63982878809055E-13 -5.25362919069684E-15 0.024992780114218 1.00159768845127E-5 1.52606158234302E-10 5.5 0.0500027962281302 -2.79622740160827E-6 -1.20883243628797E-16 6.77257016224209E-18 5.47027803160523E-18 -3.64196296167797E-13 -5.25359924851105E-15 0.024992780098287 1.00159768781283E-5 1.52606157750165E-10 5.6 0.0500027962276944 -2.7962269658173E-6 1.98203926628294E-17 -2.26360645359854E-17 -3.54843101067445E-19 -3.64193465853979E-13 -5.25359842978541E-15 0.0249927800978514 1.00159768779537E-5 1.52606157747491E-10 5.69999999999999 0.0500027962194139 -2.79621868549786E-6 2.91874364780834E-11 6.75601762110685E-10 -2.71425470091338E-13 -2.72497070039204E-13 -5.2535828267929E-15 0.0249927800896022 1.00159768720666E-5 1.52603514525415E-10 5.79999999999999 0.0500040231143826 -4.02311367961076E-6 1.68666143123784E-13 -2.57349607732438E-18 1.00227861275935E-9 -5.25658870366084E-13 -7.55850843443353E-15 0.0249940064928998 1.00164683627136E-5 1.52612123098114E-10 5.89999999999999 0.0500020447950621 -2.04479451589574E-6 3.10224849598683E-5 -4.37187927553388E-8 1.02146643097632E-19 -2.72715438321695E-13 -3.84184816943349E-15 0.024992028971647 1.00156753779404E-5 1.52119182857404E-10 5.99999999999999 0.0505037685036074 -0.000503768372265111 6.0860828746873E-13 -1.72669298454219E-10 5.61021409328206E-11 -6.62829437766051E-11 -9.37099826917909E-13 0.0254935516191299 1.02166634745266E-5 1.55663566980874E-10 6.09999999999999 0.0500001561179891 -1.56117948363833E-7 -1.56134140260798E-17 -2.26211168510413E-17 -1.51961494194869E-18 -2.0332074804217E-14 -2.93332524732091E-16 0.0249901410461137 1.00149192652716E-5 1.52590044063371E-10 6.19999999999999 0.0500001561192967 -1.56119256016901E-7 -5.02143403305535E-15 -1.92451542486013E-16 -9.43475206794357E-16 -2.03331047703333E-14 -2.93334981694806E-16 0.0249901410474208 1.00149192657978E-5 1.52590046224007E-10 6.29999999999999 0.0500001561188181 -1.56118777400973E-7 1.0871109853664E-13 -2.38250777298685E-14 -1.09505376932185E-15 -2.03563844958293E-14 -2.93334082418432E-16 0.0249901410469424 1.00149192656039E-5 1.52590043667975E-10 6.39999999999999 0.0500001566854943 -1.56685734790297E-7 1.08600682738425E-13 -4.73017766262061E-18 2.71155963230482E-10 -2.04060236154433E-14 -2.94399345362998E-16 0.0249901416134754 1.00149194884557E-5 1.52585993752025E-10 6.49999999999999 0.0500966985873705 -9.6698562291991E-5 -2.5803389520594E-14 4.72420369672238E-13 2.1695219707613E-14 -1.26179022927404E-11 -1.81338348385288E-13 0.025086644828134 1.00535936202468E-5 1.53179296665449E-10 6.59999999999999 0.0500227447931868 -2.27447692860856E-5 1.52822999678591E-13 1.53548277783524E-5 -8.87770569133378E-7 -1.15126923382917E-11 -4.27161733083336E-14 0.025012720708411 1.00239688795008E-5 1.47841242521065E-10 6.69999999999999 0.0500037111878075 -3.71118180353881E-6 3.16633715962164E-17 -0.000235209085871699 7.9555289094494E-8 -2.63338218195271E-12 -6.97250343645815E-15 0.0249936947089977 1.00163415632506E-5 1.50773361991435E-10 6.79999999999999 0.0499868393285954 1.31606679767837E-5 4.10868927957921E-16 8.96648666332653E-19 -1.14278586560678E-21 1.71352758561035E-12 2.47343784137379E-14 0.024976829593139 1.00095846364434E-5 1.52508763834379E-10 6.89999999999999 0.0499868393285961 1.31606679759856E-5 4.11430372307106E-16 8.94910921545718E-19 -4.22101650053151E-16 1.71352777644634E-12 2.47343784122375E-14 0.0249768295931397 1.00095846364439E-5 1.52508764026219E-10 6.99999999999999 0.049986839287218 1.31607093540614E-5 4.0532375172866E-16 1.00788003851443E-17 2.31667482231289E-14 1.71353325202809E-12 2.47344561993563E-14 0.0249768295517783 1.00095846198681E-5 1.52508763393849E-10 7.09999999999999 0.0499868391471862 1.31608514909088E-5 -2.9404940022243E-8 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6楼2019-01-11 17:54:47