Thanks for your advices, Terry and Konrad,

using the linear fit as initial condition for the pawerlow fit works
pretty well for my data.
(I already had the two calculations but performed them vice versa ...
:-) Anyway, I had
the impression that the leastSquaresFit in Scientific Python is an
implementation of
the Levenberg Marquardt algorithm as it is presented in the Numerical
Recipes. Accoring
to reviews, this algorithm is not famous for its stability
(e.g. http://www.stanford.edu/class/cme302/wnnr/nr.html). Better
implementations
are out there (e.g. http://www.ics.forth.gr/~lourakis/levmar/). Are
there any plans to
improve the SciPy algorithm? Would it be a welcome contribution to
SciPy to work
this part out?

- harold -

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