[Numpy-discussion] Suggestions for GSoC Projects

Jennifer stone jenny.stone125 at gmail.com
Wed Feb 19 14:46:32 EST 2014


If you are interested in the hypergeometric numerical evaluation, it's

> probably a good idea to take a look at this recent master's thesis
> written on the problem:
>
> http://people.maths.ox.ac.uk/porterm/research/pearson_final.pdf<http://bl-1.com/click/load/BDEKOABvUWAAYgNhATc-b0231>
>
> The thesis is really comprehensive and detailed with quite convincing
conclusions on the methods to be used with varying a,b,x (though I am
yet to read the thesis properly enough understand and validate each
of the multitude of the cases for the boundaries for the parameters).
It seems to be an assuring and reliable walk through for the project.


> This may give some systematic overview on the range of methods
> available. (Note that for copyright reasons, it's not a good idea to
> look closely at the source codes linked from that thesis, as they are
> not available under a compatible license.)
>
> It may well be that the best approach for evaluating these functions,
> if accuracy in the whole parameter range is wanted, in the end turns
> out to require arbitrary-precision computations.  In that case, it
> would be a very good idea to look at how the problem is approached in
> mpmath. There are existing multiprecision packages written in C, and
> using one of them in scipy.special could bring better evaluation
> performance even if the algorithm is the same.
>

Yeah, this seems to be brilliant idea. mpmath too, I assume, must have
used some of the methods mentioned in the thesis. I ll look through the
code and get back.

I am still unaware of the complexity of project expected at GSoC. This
project
looks engaging to me. Will an attempt to improve both Spherical harmonic
functions ( improving the present algorithm to avoid the calculation for
lower n's and m's) and hypergeometric functions be too ambitious or
is it doable?

Regards
Jennifer

> --
> Pauli Virtanen
>
>
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