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How can I fit the roots of a polynomial function?

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Edoardo Vicentini
Edoardo Vicentini 2018-10-16
评论： Edoardo Vicentini 2018-10-16
My data can be model as a solution (a root) of a polynomial function. I have a set of (x,y) data that can be model as y^3+(1-k*x)*y^2+2y+1=0 and I want to fit the parameter k. My (x,y) data are one of the solution of this function. How can I do it? And in case for a generic n-th degree polynomial?

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Torsten
Torsten 2018-10-16
Use lsqnonlin with fun = @(k)ydata.^3+(1-k(1)*xdata).*ydata.^2+2*ydata+1.
Best wishes
Torsten.

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