Fit curve to data with constraints
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I have some function, f(x) that I want to fit to some measured data. Say for example that f(x)=a*x^2+b*x+c. Is there a way to constrain the fit such that f(x)>=0? In other words, any combination of a,b,c that will result in f(x) being negative (within limits of x that I define) I don't want.
Here I have given a simple example where f(x) is just a second order polynomial of one variable. In this simple case above I could set limits on a,b, and c such that f(x)>0, however, the f(x) that I am actually fitting to the data is much more complex. I am currently using the cftool to do the fit. I also have some experience using the fit(), and lsqnonlin(). Any suggestions or ideas?
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