## Issue with lsqcurvefit and langmuir type equation

### Massi (view profile)

on 17 May 2013
Hi,
I have used this function quite a number of time in different codes and now I am having issues with what I thought it was going to be easy. I will need to fit a langmuir type equation (k*K*C/(1+K*C))to a set of data. I was testing the function with a fake set of data and I keep getting:
Error using lsqcurvefit (line 244) Function value and YDATA sizes are not equal.
I have tested other equations and the code seem to work for them. the problem seem to be having the C repeated at the denominator. Here the code I used:
myfun = @(x,xdata) (x(1)*x(2)*xdata)/(1+x(2)*xdata);
ydata=[0.25 0.3 0.333333333 0.357142857 0.375 0.388888889 0.4 0.409090909 0.416666667 0.428571429];
xdata=[20 30 40 50 60 70 80 90 100 120];
x0=[0.15; 0.03];
lb=[1e-5; 1e-5];
ub=[1e5; 1e5];
options=optimset('Algorithm','levenberg-marquardt');
[x,resnorm,residual,exitflag,output,lambda,jacobian] = lsqcurvefit(myfun,x0,xdata,ydata,lb,ub, options);
I have tested the same data and equation in the CFTOOL and it works fine. I am trying to use a code just because the equation will get more complicated in the future. Thanks in advance for any suggestion.
Regards
Massi

### bym (view profile)

on 17 May 2013

see comments in revised code below
myfun = @(x,xdata) (x(1)*x(2).*xdata)./(1+x(2).*xdata); %added elementwise operators ./ .*
ydata=[0.25 0.3 0.333333333 0.357142857 0.375 0.388888889 0.4 0.409090909 0.416666667 0.428571429];
xdata=[20 30 40 50 60 70 80 90 100 120];
x0=[0.15; 0.03];
lb=[1e-5; 1e-5];
ub=[1e5; 1e5];
%options=optimset('Algorithm','levenberg-marquardt'); this algorithm does
%not support bounds
[x,resnorm,residual,exitflag,output,lambda,jacobian] = lsqcurvefit(myfun,x0,xdata,ydata,lb,ub);