Hi,

First of all thank you very much for creating NLOPT and making it
free/open-source - it is a very powerful package which has been easy to use.

I am using NLOPT to do non-linear least squares fitting of a model (w/o
analytic Jacobian) to experimental data. BOBYQA seems to work well for this
case. I was wondering if there is any existing way to obtain the covariance
matrix and/or Jacobian and/or uncertainty/error estimates for the optimized
fit parameters? I believe these are typically calculated using the
Jacobian. See for example: https://www.mathworks.com/help/stats/nlinfit.html
CovB = inv(J'*J)*MSE
Unfortunately I did not see anything regarding this in the NLOPT
documentation.

Secondly, are there any plans to include an implementation of the
Levenberg-Marquadt algorithm, which is quite popular for non-linear least
squares fitting, in the NLOPT package? See for example:
https://www.physics.wisc.edu/~craigm/idl/cmpfit.html

Thanks,
Shaun
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