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小木虫论坛-学术科研互动平台 » 计算模拟区 » 计算模拟 » 求助，用1stopt解方程组，两次得到的解不唯一？什么原因，大神帮忙
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rita128

新虫 (初入文坛)

[求助] 求助，用1stopt解方程组，两次得到的解不唯一？什么原因，大神帮忙

代码如下，abcdef六个未知数，六个方程，不设初值，方程全部等于零，得到的结果为什么不唯一呢？
而且正负号还有区别，请求知道的朋友帮忙！谢谢
Title "Type your title here";
Parameters a,b,c,d,e,f ;
//Variable ;
Function 2*10.282*(0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)+2*9.928*(-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)+2*8.31*
(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)+2*22.764*(-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)+2*15.434*(-0.292+15.434*a-2.95*b+1.039*c
+20.38*d+207.76*e-f)+2*21.074*(-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)+2*22.42*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)
+2*6.626*(-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)+2*6.40*(-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)
+2*15.31*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)+2*22.886*(-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f)
+2*2.61*(-3.6194+2.61*a-12.83*b)=0;

2*1.077*(0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)+2*0.765* (-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)
+2*1.039*(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)+2*(-9.945)* (-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)
-2*2.950*  (-0.292+15.434*a-2.95*b+1.039*c+20.38*d+207.76*e-f) -2*8.87* (-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)
-2*11.67*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)+2*0.924* (-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)
+2*0.802* (-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)-2*1.942*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)
-2*10.007* (-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f) -2*12.83* (-3.6194+2.61*a-12.83*b)=0;

2*0.890* (0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)+2*0.923* (-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)
+2*0.908*(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)+2*1.104* (-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)
+2*1.039*  (-0.292+15.434*a-2.95*b+1.039*c+20.38*d+207.76*e-f) +2*1.1* (-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)
+2*1.13*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)+2*0.983* (-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)
+2*1.136* (-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)+2*1.007*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)
+2*1.1* (-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*15.484* (0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)+2*13.995* (-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)
+2*11.36*(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)+2*29.82* (-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)
+2*20.38*  (-0.292+15.434*a-2.95*b+1.039*c+20.38*d+207.76*e-f) +2*27.22* (-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)
+2*28.27*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)+2*6.95* (-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)
+2*4.41* (-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)+2*21.13*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)
+2*30.02* (-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*119.87* (0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)+2*97.93* (-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)
+2*64.49*(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)+2*444.74* (-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)
+2*207.76*  (-0.292+15.434*a-2.95*b+1.039*c+20.38*d+207.76*e-f) +2*370.51* (-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)
+2*399.73*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)+2*24.153* (-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)
+2*9.71* (-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)+2*223.19*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)
+2*450.62* (-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f) =0;

  (-2)* (0.241+10.282*a+1.077*b+0.890*c+15.484*d+119.87*e-f)-2* (-0.00523+9.928*a+0.765*b+0.923*c+13.995*d+97.93*e-f)
-2*(-0.297+8.31*a+1.039*b+0.908*c+11.36*d+64.49*e-f)-2*(-0.420+22.764*a-9.945*b+1.104*c+29.82*d+444.74*e-f)
-2* (-0.292+15.434*a-2.95*b+1.039*c+20.38*d+207.76*e-f) -2* (-0.565+21.074*a-8.87*b+1.1*c+27.22*d+370.51*e-f)
-2*(-0.890+22.42*a-11.67*b+1.13*c+28.27*d+399.73*e-f)-2* (-1.453+6.626*a+0.924*b+0.983*c+6.95*d+24.153*e-f)
-2*(-3.704+6.40*a+0.802*b+1.136*c+4.41*d+9.71*e-f)-2*(0.037+15.31*a-1.942*b+1.007*c+21.13*d+223.19*e-f)
-2*(-0.407+22.887*a-10.007*b+1.1*c+30.02*d+450.62*e-f) =0;
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1楼 2013-04-17 22:36:37
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rita128

新虫 (初入文坛)
引用回帖:
2楼: Originally posted by dingd at 2013-04-18 08:48:19
不知你用的哪个版本，5.0计算结果稳定唯一：
a: -2.0311750413278
b: -0.682865795522349
c: 25.015268741902
d: 0.959533020492511
e: -0.00216840925412692
f: 15.5189257937913

麻烦你再帮我解一个吧。我的版本不够
,

Title "Type your title here";
Parameters a,b,c,d,e,f ;
//Variable ;
Function 2*10.282*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*9.928*(-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)+2*8.31*
(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*22.764*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)+2*15.434*(1.1697+15.434*a+2.075*b+1.039*c
+20.38*d+207.76*e-f)+2*21.074*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*22.42*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.626*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)+2*6.40*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*15.31*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*22.886*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*2.61*(0.2293+2.61*a+0.207*b)=0;

2*1.581*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*1.499* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*1.292*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*2.846* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*2.075*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)+2*2.649*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*2.755*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*1.023* (0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*0.9428*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*2.103*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*2.8605*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*0.207*(0.2293+2.61*a+0.207*b)=0;

2*0.890* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*0.923*  (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) +2*0.908*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*1.104* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*1.039*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*1.1*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f) +2*1.13*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*0.983*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*1.136*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*1.007*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*1.1*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*15.484* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*13.995* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*11.36*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*29.82*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*20.38*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*27.22*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)  +2*28.27*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.95*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f) +2*4.41*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*21.13*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f) +2*30.02*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

2*119.87*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*97.93* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*64.49*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*444.74* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*207.76*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*370.51* (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
+2*399.73*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)+2*24.153*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f) +2*9.71* (-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*223.19*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*450.62*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

(-2)* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)-2*  (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) -2*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)-2* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)-2* (1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)-2*  (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
-2*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)-2* (0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
-2*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)-2*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)-2*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;


Title "Type your title here";
Parameters a,b,c,d,e,f ;
//Variable ;
Function 2*10.282*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*9.928*(-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)+2*8.31*
(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*22.764*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)+2*15.434*(1.1697+15.434*a+2.075*b+1.039*c
+20.38*d+207.76*e-f)+2*21.074*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*22.42*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.626*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)+2*6.40*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*15.31*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*22.886*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*2.61*(0.2293+2.61*a+0.207*b)=0;

2*1.581*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*1.499* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*1.292*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*2.846* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*2.075*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)+2*2.649*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*2.755*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*1.023* (0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*0.9428*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*2.103*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*2.8605*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*0.207*(0.2293+2.61*a+0.207*b)=0;

2*0.890* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*0.923*  (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) +2*0.908*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*1.104* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*1.039*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*1.1*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f) +2*1.13*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*0.983*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*1.136*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*1.007*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*1.1*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*15.484* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*13.995* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*11.36*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*29.82*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*20.38*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*27.22*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)  +2*28.27*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.95*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f) +2*4.41*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*21.13*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f) +2*30.02*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

2*119.87*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*97.93* (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*64.49*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*444.74* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*207.76*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*370.51* (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
+2*399.73*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)+2*24.153*(0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f) +2*9.71* (-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*223.19*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*450.62*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

(-2)* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)-2*  (-0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) -2*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)-2* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)-2* (1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)-2*  (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
-2*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)-2* (0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
-2*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)-2*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)-2*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;
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3楼2013-04-18 14:36:42
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dingd

铁杆木虫 (职业作家)

【答案】应助回帖

★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
csgt0: 金币+1, 谢谢 2013-04-18 14:26:36
rita128: 金币+5, ★有帮助 2013-04-18 14:35:59
不知你用的哪个版本，5.0计算结果稳定唯一：
a: -2.0311750413278
b: -0.682865795522349
c: 25.015268741902
d: 0.959533020492511
e: -0.00216840925412692
f: 15.5189257937913
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2楼2013-04-18 08:48:19
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rita128

新虫 (初入文坛)
引用回帖:
2楼: Originally posted by dingd at 2013-04-18 08:48:19
不知你用的哪个版本，5.0计算结果稳定唯一：
a: -2.0311750413278
b: -0.682865795522349
c: 25.015268741902
d: 0.959533020492511
e: -0.00216840925412692
f: 15.5189257937913

不好意思，刚才那个发错了，是下面的代码。麻烦你了

Title "Type your title here";
Parameters a,b,c,d,e,f ;
//Variable ;
Function 2*10.282*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*9.928*(0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)+2*8.31*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*22.764*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)+2*15.434*(1.1697+15.434*a+2.075*b+1.039*c
+20.38*d+207.76*e-f)+2*21.074*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*22.42*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.626*(-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)+2*6.40*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*15.31*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*22.886*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*2.61*(0.2293+2.61*a+0.207*b)=0;

2*1.581*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*1.499* (0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*1.292*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*2.846* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*2.075*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)+2*2.649*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)+2*2.755*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*1.023* (-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*0.9428*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*2.103*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*2.8605*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f)
+2*0.207*(0.2293+2.61*a+0.207*b)=0;

2*0.890* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*0.923*  (0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) +2*0.908*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*1.104* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*1.039*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*1.1*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f) +2*1.13*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*0.983*(-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*1.136*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*1.007*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)+2*1.1*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*15.484* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*13.995* (0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*11.36*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*29.82*(1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*20.38*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*27.22*(1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)  +2*28.27*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)
+2*6.95*(-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f) +2*4.41*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)
+2*21.13*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f) +2*30.02*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

2*119.87*(0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)+2*97.93* (0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f)
+2*64.49*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)+2*444.74* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)
+2*207.76*(1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f) +2*370.51* (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
+2*399.73*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)+2*24.153*(-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
+2*9.71* (-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)+2*223.19*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)
+2*450.62*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;

(-2)* (0.6483+10.282*a+1.581*b+0.890*c+15.484*d+119.87*e-f)-2*  (0.523+9.928*a+1.499*b+0.923*c+13.995*d+97.93*e-f) -2*(0.1981+8.31*a+1.292*b+0.908*c+11.36*d+64.49*e-f)-2* (1.779+22.764*a+2.846*b+1.104*c+29.82*d+444.74*e-f)-2* (1.1697+15.434*a+2.075*b+1.039*c+20.38*d+207.76*e-f)-2*  (1.642+21.074*a+2.649*b+1.1*c+27.22*d+370.51*e-f)
-2*(1.714+22.42*a+2.755*b+1.13*c+28.27*d+399.73*e-f)-2* (-0.4818+6.626*a+1.023*b+0.983*c+6.95*d+24.153*e-f)
-2*(-1.072+6.40*a+0.9428*b+1.136*c+4.41*d+9.71*e-f)-2*(1.2025+15.31*a+2.103*b+1.007*c+21.13*d+223.19*e-f)
-2*(1.789+22.887*a+2.8605*b+1.1*c+30.02*d+450.62*e-f) =0;
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4楼2013-04-18 14:45:38
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rita128

新虫 (初入文坛)
引用回帖:
2楼: Originally posted by dingd at 2013-04-18 08:48:19
不知你用的哪个版本，5.0计算结果稳定唯一：
a: -2.0311750413278
b: -0.682865795522349
c: 25.015268741902
d: 0.959533020492511
e: -0.00216840925412692
f: 15.5189257937913

帮忙解一下下面这个方程组啊。前面回的贴数据都不太正确。这次的终于对了。。。。
Title "Type your title here";
Parameters a,b,c,d,e,f;

Function 2*14.3659*(0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)+2*13.7552*(0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f)+2*11.3675*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)+2*32.5209*(1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)+2*21.7108*(1.1697+21.7108*a+3.257*b+1.039*c
+20.38*d+207.76*e-f)+2*29.9844*(1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f)+2*31.9197*(1.714+31.9197*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)
+2*8.6502*(-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f)+2*7.8875*(-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)
+2*21.6177*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)+2*32.7046*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f)
+2*11.2090*(0.2293+11.2090*a+1.3487*b)=0;

2*2.436*(0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)+2*2.281* (0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f)
+2*1.923*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)+2*4.6057*(1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)+2*3.257*(1.1697+21.7108*a+3.257*b+1.039*c+20.38*d+207.76*e-f)+2*4.2558*(1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f)+2*4.4358*(1.714+31.9197*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)
+2*1.4194*(-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f)
+2*1.2050*(-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)
+2*3.3165*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)+2*4.6319*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f)
+2*1.3487*(0.2293+11.2090*a+1.3487*b)=0;

  2*0.890* (0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)+2*0.923*  (0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f) +2*0.908*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)+2*1.104* (1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)
+2*1.039*(1.1697+21.7108*a+3.2574*b+1.039*c+20.38*d+207.76*e-f) +2*1.1*(1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f) +2*1.13*(1.714+31.91968*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)
+2*0.983*(-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f)
+2*1.136*(-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)+2*1.007*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)+2*1.1*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f) =0;

  2*15.484* (0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)+2*13.995* (0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f)  +2*11.36*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)+2*29.82* (1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)
+2*20.38*(1.1697+21.7108*a+3.2574*b+1.039*c+20.38*d+207.76*e-f) +2*27.22*(1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f)  +2*28.27*(1.714+31.91968*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)+2*6.95*(-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f) +2*4.41*(-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)+2*21.13*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)+2*30.02*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f)=0;

2*119.87*(0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)+2*97.93* (0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f)
+2*64.49*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)+2*444.74* (1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)
+2*207.76*(1.1697+21.7108*a+3.2574*b+1.039*c+20.38*d+207.76*e-f)+2*370.51*(1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f)
+2*399.73*(1.714+31.91968*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)+2*24.153*(-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f)+2*9.71* (-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)+2*223.19*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)+2*450.62*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f) =0;

  (-2)* (0.6483+14.3659*a+2.436*b+0.890*c+15.484*d+119.87*e-f)-2*   (0.523+13.7552*a+2.281*b+0.923*c+13.995*d+97.93*e-f) -2*(0.1981+11.3675*a+1.923*b+0.908*c+11.36*d+64.49*e-f)-2* (1.779+32.5209*a+4.6057*b+1.104*c+29.82*d+444.74*e-f)-2* (1.1697+21.7108*a+3.2574*b+1.039*c+20.38*d+207.76*e-f)-2*  (1.642+29.9844*a+4.2558*b+1.1*c+27.22*d+370.51*e-f)
-2*(1.714+31.91968*a+4.4358*b+1.13*c+28.27*d+399.73*e-f)-2* (-0.4818+8.6502*a+1.4194*b+0.983*c+6.95*d+24.153*e-f)
-2*(-1.072+7.8875*a+1.2050*b+1.136*c+4.41*d+9.71*e-f)-2*(1.2025+21.6177*a+3.3165*b+1.007*c+21.13*d+223.19*e-f)-2*(1.789+32.7046*a+4.6319*b+1.1*c+30.02*d+450.62*e-f) =0;
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