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Simon-Shlomo Poil
science forum beginner
Joined: 29 Apr 2005
Posts: 1
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 Posted: Fri Apr 29, 2005 11:36 am Post subject:
Complex fitting
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I need to do some complex fitting e.i. fit some complex numbers to a
complex function. I am using IGOR to do fitting, but IGOR don't
support complex fitting.
Do anybody have an idea how to do this ? |
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Torsten Hennig
science forum Guru Wannabe
Joined: 28 Apr 2005
Posts: 136
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| Posted: Fri Apr 29, 2005 2:28 pm Post subject:
Re: Complex fitting
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| Quote: | I need to do some complex fitting e.i. fit some complex >numbers to a
complex function. I am using IGOR to do fitting, but >IGOR don't
support complex fitting.
Do anybody have an idea how to do this ?
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Hint:
min: sum (i=1,...,i=n) |f(z_i) - w_i|^2
where f is a complex-valued function and the z_i and w_i
are complex numbers can be reformulated as
min: sum (i=1,...,i=n) (Re (f(z_i)) - Re(w_i))^2 +
sum (i=1,...,i=n) (Im (f(z_i)) - Im(w_i))^2.
where Re(z) and Im(z) are the real and imaginary parts
of (the complex number) z.
This is the kind of fitting problem which can be
solved by a standard least-squares solver.
Best wishes
Torsten. |
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