Thanks Mark,

  I don't think it is suitable for publication in a journal. There is nothing novel here, its just technical details of how to calculate ALFs efficiently.

I'll see if I can fix the formatting issue on eq. 36. Its a good idea to cite GSL, I will add that :)

Patrick

On 2/16/22 22:51, Mark Galassi wrote:
Patrick, this is a great paper.  It shows the same care you apply to 
maintaining gsl.  The writing is also very clear, and I love the table of 
acronyms :-).  Do you plan to submit for publication in a numerical analysis 
journal, or submit to the arXiv?

The only previous quasi-report had been the ongoing design document that I kept 
going with James and Brian in the early years, but it is a working design doc, 
not anything of the scope you have shown here.

Tiny suggestions: alignment of equation 36 on page 5: "l >= 1" could be moved quite a bit 
to the left.  Maybe an extra & to make it match the start of the l >= 1, m > 0.

You might also want to also cite the reference manual (as we ask people to do 
when they use gsl :-) ).  A recent bibtex skeleton on that is the 2019 Network 
Theory edition.

@book{gslteam2019gnuscientificlibrary,
   title={GNU Scientific Library Reference Manual},
   author={Galassi, Mark and Davies, Jim and Theiler, James and Gough, Brian 
and Jungman, Gerard and Alken, Patrick and Booth, Michael and Rossi, Fabrice 
and Ulerich, Rhys},
   year={2019},
   isbn={9780954612078},
   publisher={Network Theory Limited}
}

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