Lsqnonlin - Use levenberg-marquardt with real parameters and complex function
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I want to minimize the term f(x)-v (where v is a constant complex vector number). The Function f(x) take an complex input vector and returns an complex vector. For my computations, i want that x has a certain curve (Equation 2 in the picture, x is sigma). So, each element in the x-vector should have 3 parameters x_infinity, x_zero and tau that are real (!) numbers. The problem is: if i use a complex function in lsqnonlin (levenberg-marquardt), the all the parameters are directly complex. How can i command to the solver to just consider real parameters?
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