Fitting an implicit nonlinear function

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Gian
Gian 2015-10-16
评论： Gian 2015-10-16
I am trying to fit a function whose xData depends on a parameter of the fit.
More in detail: my x axis is given by x=x0+a/(1+C*x^2) where x0 is an array, C2 is a constant and a is the parameter of my fitting function. My y axis, instead, is fixed. Is there a way to do that? What I need to derive from that is the value of a.
Thak you all for the help

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回答（1 个）

John D'Errico
John D'Errico 2015-10-16
If everything is known except for a, then what is the problem? I'll rewrite it to make it more clear.
x - X0 = a*(1./(1+C*x.^2)
So here from your comments, I assume we have multiple points in the form of values for x and X0, as well as a known value for C.
Solve the general problem
v = a*u
where u and v are vectors or matrices of the same size as simply
a = u(:)\v(:);
Apply the same approach to your problem.
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Gian
Gian 2015-10-16
The problem is that I don't have x. I need to solve the equation (which depends on a) to find it.

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