How to find parameters of the following coefficient based on optimization tool?
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Parham Babakhani Dehkordi
le 11 Avr 2016
Réponse apportée : Parham Babakhani Dehkordi
le 12 Avr 2016
Hi everyone, I have the following input and function, my purpose is to calculate the value of a,m and n which are scalars using curve fitting in matlab. I have:
ew=[0.679 0.613 0.613 0.501 0.497 0.50 0.389 0.386 0.386 0.391 0.390 0.288 0.288 0.288 0.289 0.289]; Hw=[0.757 0.669 0.71 0.577 0.57 0.60 0.50 0.55 0.52 0.50 0.476 0.353 0.388 0.379 0.431 0.371]; k=[0.217 0.217 0.217 0.163 0.163 0.163 0.131 0.131 0.131 0.131 0.131 0.109 0.109 0.109 0.109 0.109];
Hw=[ew*(1+0.36(1-ew))]*C; C=exp[-a*(k^m)*(1-ew)^n];
any help would be appreciated.
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Alan Weiss
le 11 Avr 2016
Please format your question using the {} Code button so that we might read it more easily.
Alan Weiss
MATLAB mathematical toolbox documentation
Réponses (2)
Roger Stafford
le 12 Avr 2016
Define the following sum of squares of differences:
ew=[0.679 0.613 0.613 0.501 0.497 0.50 0.389 0.386 0.386 0.391 0.390 0.288 0.288 0.288 0.289 0.289];
Hw=[0.757 0.669 0.71 0.577 0.57 0.60 0.50 0.55 0.52 0.50 0.476 0.353 0.388 0.379 0.431 0.371];
k= [0.217 0.217 0.217 0.163 0.163 0.163 0.131 0.131 0.131 0.131 0.131 0.109 0.109 0.109 0.109 0.109];
function s = myfun(a,m,n)
s = sum((Hw-ew.*(1+0.36(1-ew)).*exp[-a*(k.^m).*(1-ew).^n)).^2);
return
and then use that subfunction for optimization of a, m, and n using 'fminsearch' or 'fminunc'. Their descriptions can be found at:
http://www.mathworks.com/help/matlab/ref/fminsearch.html
http://www.mathworks.com/help/optim/ug/fminunc.html
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