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I1=(1.3403/0.323)*(354.3091/443.6719-lambertw((1.0885e-004/443.6719)*exp((330.7*x1+354.3091)/443.6719)))-x1/(0.323+330.7)+1.019*10^(-6)*(exp(x1/1.3403)-1);
I2=(1.3403/0.323)*(349.7334/437.9477-lambertw((1.0744e-004/437.9477)*exp((326.4292*x2+349.7334)/437.9477)))-x2/(0.323+326.4292)+1.019*10^(-6)*(exp(x2/1.3403)-1);
I3=(1.3403/0.323)*(337.973/423.2354-lambertw((1.0383e-004/423.2354)*exp((315.4524*x3+337.973)/423.2354)))-x3/(0.323+315.4524)+1.019*10^(-6)*(exp(x3/1.3403)-1);
I4=(1.3403/0.323)*(324.4644/406.3363-lambertw((9.9677e-005/406.3363)*exp((302.844*x4+324.4644)/406.3363)))-x4/(0.323+302.844)+1.019*10^(-6)*(exp(x4/1.3403)-1);
I5=1.019*10^(-6)*(exp(x5/1.3403)-1)£»
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x1+x2+x3+x4+x5-30=0
I1-I2=0;
I1-I3=0;
I1-I4=0;
I1-I5=0;
ÉÏÃæµÄ·½³Ì×éÒѾ­Ð´ºÃ£¬ÔÚfun.mÀï¡£

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ÎÒÔÚmatlabÀïÊäÈënewton([0.01 0.01 0.01 0.01 0.01],0.00001,200)
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In newton at 6
Warning: Matrix is singular, close to singular or badly scaled.
         Results may be inaccurate. RCOND = NaN.
> In newton at 6

ans =

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  • ¸½¼þ 1 : newton.m
  • 2012-02-22 16:56:51, 775 bytes
  • ¸½¼þ 2 : dfun.m
  • 2012-02-22 16:56:51, 120 bytes
  • ¸½¼þ 3 : fun.m
  • 2012-02-22 16:56:52, 969 bytes
  • ¸½¼þ 4 : Ì«Ñôµç³ØI_V·½³ÌÏÔʽÇó½âÔ­ÀíÑо¿¼°Ó¦ÓÃ.nh
  • 2012-02-22 16:57:53, 4.29 M

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sunjiahuan

Í­³æ (СÓÐÃûÆø)

ËÍÏÊ»¨Ò»¶ä
ÒýÓûØÌû:
Â¥: Originally posted by dbb627 at 2012-02-22 19:55:48:
´íÎóÌáʾÐÅÏ¢ÊǾØÕóÆæÒ죬
¿ÉÄܳõÖµ²»Ì«ºÏÊÊ
ÎÒÓÃ×Ô´øfsolve½âÁËÏÂ
½á¹û²»ÊǺܺÃ
[/code]
function aa
[X,FVAL,EXITFLAG,OUTPUT] =fsolve(@fun,[18.7783   0.01   18.1315   18.0062  -2],optimset('MaxFun ...

ÄúºÃ£¬·Ç³£¸ÐлÄãµÄ°ïÖú£¬ÄúÄܲ»ÄܰÑÄãµÄmatlab´úÂë·¢µ½ÎÒµÄÓÊÏäÀïôsunjiahuan0370@sina.com£¿ÎÒ°ÑÄãÌù³öÀ´µÄ´úÂëÒÆµ½ÎÒµÄmatlabÀï¾ÓȻû³É¹¦¡£Ð»Ð»ÁË¡£
3Â¥2012-02-22 20:29:00
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 17 ¸ö»Ø´ð

dbb627

ÈÙÓþ°æÖ÷ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
ben_ladeng(½ð±Ò+2): ллӦÖú 2012-02-22 21:59:15
ben_ladeng(ר¼Ò¿¼ºË): 2012-02-22 21:59:24
caemechanics(½ð±Ò+5): ¸ÐлӦÖú 2012-02-23 16:18:30
´íÎóÌáʾÐÅÏ¢ÊǾØÕóÆæÒ죬
¿ÉÄܳõÖµ²»Ì«ºÏÊÊ
ÎÒÓÃ×Ô´øfsolve½âÁËÏÂ
½á¹û²»ÊǺܺÃ
[/code]
function aa
[X,FVAL,EXITFLAG,OUTPUT] =fsolve(@fun,[18.7783   0.01   18.1315   18.0062  -2],optimset('MaxFunEvals',1000))
function f=fun(x)
x1=x(1);
x2=x(2);
x3=x(3);
x4=x(4);
x5=x(5);
f1=x1+x2+x3+x4+x5-30;
f2=4.1495*(0.7986-lambertw(2.4534e-007*exp((330.7*x1+354.3091)/443.6719)))-x1/331.0230+1.019e-6*(exp(x1/1.3403)-1)-4.1495*(0.7986-lambertw(2.4533e-007*exp((326.4292*x2+349.7334)/437.9477)))+x2/(0.323+326.4292)-1.019*10^(-6)*(exp(x2/1.3403)-1);
f3=4.1495*(0.7986-lambertw(2.4534e-007*exp((330.7*x1+354.3091)/443.6719)))-x1/331.0230+1.019e-6*(exp(x1/1.3403)-1)-4.1495*(0.7985-lambertw(2.4532e-007*exp((315.4524*x3+337.973)/423.2354)))+x3/(0.323+315.4524)-1.019*10^(-6)*(exp(x3/1.3403)-1);
f4=4.1495*(0.7986-lambertw(2.4534e-007*exp((330.7*x1+354.3091)/443.6719)))-x1/331.0230+1.019e-6*(exp(x1/1.3403)-1)-4.1495*(0.7985-lambertw( 2.4531e-007*exp((302.844*x4+324.4644)/406.3363)))+x4/(0.323+302.844)-1.019*10^(-6)*(exp(x4/1.3403)-1);
f5=4.1495*(0.7986-lambertw(2.4534e-007*exp((330.7*x1+354.3091)/443.6719)))-x1/331.0230+1.019e-6*(exp(x1/1.3403)-1)-1.019*10^(-6)*(exp(x5/1.3403)-1);
f=[f1 f2 f3 f4 f5];
[/code]
Solver stopped prematurely.

fsolve stopped because it exceeded the function evaluation limit,
options.MaxFunEvals = 1000 (the selected value).


X =

   18.7895   19.0894   19.0963   19.1094  -46.0868


FVAL =

   -0.0022   -0.0180   -0.0172   -0.0175    2.7252


EXITFLAG =

     0


OUTPUT =

       iterations: 180
        funcCount: 1001
        algorithm: 'trust-region dogleg'
    firstorderopt: 0.0022
          message: [1x143 char]

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

The more you learn, the more you know, the more you know, and the more you forget. The more you forget, the less you know. So why bother to learn.
2Â¥2012-02-22 19:55:48
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

sunjiahuan

Í­³æ (СÓÐÃûÆø)

sunjiahuan: »ØÌûÖö¥ 2012-02-22 20:46:39
²»ºÃÒâ˼£¬¸Õ¿´µ½I1£¬I2,I3,I4·½³ÌÖÐ×îºóÒ»ÏîµÄÀïµÄx1£¬x2,x3,x4, Ó¦¸ÃΪ-x1,-x2,-x3,-x4,¶øx5²»±ä¡£ËùÒÔÎÒ¸½¼þÀïfun.mµÄ·½³Ì×éÀïµÄÒ²ÒªÏàÓ¦¸Ä±ä£¬ÒòÎÞ·¨±à¼­£¬ÔÚ´Ë˵Ã÷һϡ£±ÈÈçI1ÖеÄ×îºóÒ»Ïî1.019*10^(-6)*(exp(x1/1.3403)-1);Ó¦¸ÄΪ1.019*10^(-6)*(exp(-x1/1.3403)-1);
4Â¥2012-02-22 20:46:34
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

sunjiahuan

Í­³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
Â¥: Originally posted by dbb627 at 2012-02-22 19:55:48:
´íÎóÌáʾÐÅÏ¢ÊǾØÕóÆæÒ죬
¿ÉÄܳõÖµ²»Ì«ºÏÊÊ
ÎÒÓÃ×Ô´øfsolve½âÁËÏÂ
½á¹û²»ÊǺܺÃ
[/code]
function aa
[X,FVAL,EXITFLAG,OUTPUT] =fsolve(@fun,[18.7783   0.01   18.1315   18.0062  -2],optimset('MaxFun ...

²»ºÃÒâ˼£¬¸Õ¿´µ½I1£¬I2,I3,I4·½³ÌÖÐ×îºóÒ»ÏîµÄÀïµÄx1£¬x2,x3,x4, Ó¦¸ÃΪ-x1,-x2,-x3,-x4,¶øx5²»±ä¡£ËùÒÔÎÒ¸½¼þÀïfun.mµÄ·½³Ì×éÀïµÄÒ²ÒªÏàÓ¦¸Ä±ä£¬ÒòÎÞ·¨±à¼­£¬ÔÚ´Ë˵Ã÷һϡ£±ÈÈçI1ÖеÄ×îºóÒ»Ïî1.019*10^(-6)*(exp(x1/1.3403)-1);Ó¦¸ÄΪ1.019*10^(-6)*(exp(-x1/1.3403)-1);·Ç³£¸ÐлÄúµÄ°ïÖú¡£
5Â¥2012-02-22 20:53:37
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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