0ƼʹݶŻڽ.

1аһЩʱ漰֡΢֡,ο{޼<http://blog.163.com/shikang999@126/blog/static/172624896201463111856714/>}

2漰Ŀ,䱾ϻǿתΪĿ,ʱʹ{SymExpressionWeight<\SymExpressionWeight>}{SymExpressionWeight2<\SymExpressionWeight2>}ԶĿȨر,ʹñṩ㷨⼴.

3,漰ʱ,Ŀǰṩ3ϵصĺ{PluralSolveEquation<\PluralSolveEquation>}{nlinFitPluralGA<\nlinFitPluralGA>}{nlinFitPluralPSO<\nlinFitPluralPSO>}.

4ΪֵٶһӰ죬ͼ˵һȷѧģͺ,Ϸʱ,ֵѡȡ⡣

5֪ѧģͣһ壬ѡȡ

6޷ȷֵʱѧģеģͺܸûеɽм򵥵Ĳֹ죩Բµİ취

:
(1)Ϻһ׵бҪ߽׵
(2)ʹ֪Ƶһ׵
(3)һ׵Լԭóֵֵ

:

֪һxy¹ϵʽabcdĳʼֵ

y = a + b * (x - c) ^ d

:

(1) y' = b * d * (x - c) ^ (d - 1)

(2)Ϊ֪xy,Ӧ㷨һxy' Ľֵ, f = y' 

(3)xy' (1)ʽķ̵õ̽bcd

 f[1] = b * d * (x[1] - c) ^ (d - 1)      
 f[2] = b * d * (x[2] - c) ^ (d - 1)      
 f[3] = b * d * (x[3] - c) ^ (d - 1)      
 
(4)ȡһxyȻbcdһԭ y = a + b * (x - c) ^ d ýֵ a

(5) abcdʼֵȷϣ

7΢ַ
֮ﵥһ㣬Ҫṩһһٴʽ
(1)΢ʹöӦֹʽ棬ȻϳӦϲʱ΢ʹõĲִ棬ǱȽϴֲڵģֵΪʼֵο

(2)Ȼʹõ(1)õϲΪʼֵ΢ַ̺öӦ΢ַ㷨Ȼзϡ

PSⷽʽȼ򵥴ֱҵһڽĽ⣬ȻʹñȽϾȷ㷨⸽ֵ

(3) һַʽһ΢ַ y' = f(x),ô y(x1) - y(x0) = int[f(x) , x0 , x1],лֿɲֳ㷨м