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fast accurate Kneser sexp algorithm
#39
(01/14/2016, 12:59 AM)andydude Wrote: Why is this called "Kneser"? can you provide the article or reference that inspired this algorithm?

Take a look at these two posts; Henryk's post, http://math.eretrandre.org/tetrationforu...hp?tid=213
and Jay's post, http://math.eretrandre.org/tetrationforu...hp?tid=358

Kneser's Riemann mapping results in where which has been wrapped around a unit circle by using the substitution . So my approach is related, and mathematically equivalent, but not identical. In the approach used in my kneser.gp program, I iterate, generating increasingly accurate approximations from increasingly accurate sexp(z) taylor series approximations where in the limit,
- Sheldon
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Messages In This Thread
The pari-GP code - by sheldonison - 08/07/2010, 09:17 PM
updated kneser.gp code - by sheldonison - 08/19/2010, 02:35 AM
RE: updated kneser.gp code - by nuninho1980 - 08/19/2010, 12:08 PM
RE: updated kneser.gp code - by sheldonison - 08/20/2010, 01:05 AM
update to support B<eta - by sheldonison - 11/15/2010, 02:53 PM
RE: update to support B<eta - by nuninho1980 - 11/15/2010, 03:26 PM
another new version - by sheldonison - 11/17/2010, 06:52 PM
RE: fast accurate Kneser sexp algorithm - by sheldonison - 01/14/2016, 05:05 AM

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