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complex base tetration program
#22
Hi Sheldon -

inspired by the bugs, rooted in interferences between the procedures in fatou.gp and my std-user-library I was also reviewing the older tetcomplex.gp procedure which you've posted earlier (and which worked in my environment with very little renaming-conventions), and did also some minor edits for numerical improvements (replaced "eval"-procedures by "subst") and deleted all "kill(x)"-calls.


Using the base I could nicely reproduce the problem in MSE: does exist and then what is in

By some other idea I investigated the behave near above the real axis, and specifically I looked at the point and found, that the required height to iterate from to is nearly , so



That this is very near suggests, that here equality is intended (and it is also different from the Schröder-method). However, the error is in the near of 0.003 which looks large in comparision to the numerical accuracy for other computations (20 to 30 digits correct by my initialization) .

Could that result be improved by some finetuning? (Or did I speculate wrongly?)

Gottfried
Gottfried Helms, Kassel
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Messages In This Thread
complex base tetration program - by sheldonison - 02/29/2012, 10:28 PM
RE: complex base tetration program - by mike3 - 03/10/2012, 06:59 AM
RE: complex base tetration program - by mike3 - 03/11/2012, 12:27 AM
RE: complex base tetration program - by Gottfried - 02/06/2016, 01:37 AM
RE: complex base tetration program - by Gottfried - 02/06/2016, 05:36 PM
RE: complex base tetration program - by Gottfried - 02/07/2016, 05:27 AM
RE: complex base tetration program - by Gottfried - 02/07/2016, 01:25 PM
RE: complex base tetration program - by Gottfried - 10/24/2016, 11:50 PM
RE: complex base tetration program - by Gottfried - 10/26/2016, 10:02 AM

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