Re: Reference Steed's algorithm

From: SAM (spamhole_at_spamfreeuniverse.uww)
Date: 12/22/04 

Date: Wed, 22 Dec 2004 22:36:00 GMT

On Tue, 21 Dec 2004 10:48:29 +0100, Gert Van den Eynde
<gvdeynde@hotmail.com> wrote:

>Hi all,
>
>I'm looking for a reference to Steed's algorithm to evaluate continued
>fractions (typically used when evaluating Bessel functions). Not
>necessarily the original paper, but a textbook reference with some analysis
>and pseudo code would be nice. Does anyone know of such a reference?
>
>Thanks,
>gert

See the books Numerical Recipes in Fortran 77/90, available online via
the URL http://www.numerical-recipes.com/nronline_switcher.html

In particular, see Volume 1, Section 5.2, Evaluation of Continued
Fractions, discussion at (5.2.6), and the cited reference [5].

See also Volume 2, Chapter B6, Special Functions, and the source code
for SUBROUTINE bessik, wherein Steed's algorithm is used.

The depth of the material in Numerical Recipes may insufficient for
your needs, but hopefully will be of some interest.

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