Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
[Update] Comparision of 5 methods of interpolation to continuous tetration
I've just updated my discussion from 2010 where I provided pictures and short commentars for the basic introduction into different interpolation proposals for the tetration. I included now also the comaprision with the Kneser-method, where I used one of the Pari/GP-scripts which Sheldon has kindly provided here.
Here is the link:

I'll attach it also here for the possibility that some website might drop down...
[updates]: included comparisions of the Kneser with the polynomial 32x32, polynomial 48x48 and polynomial 64x64 - interpolations.
Impression/conclusion:The bigger the matrix-size, the better the Kneser solution is approximated.
[/end update]

Ahh, ps: I would like it much to include more material of someone else, who has some other practical procedure and can provide data for the same environment (of base b=4, and the 1/20 to 1/40-step iterations with the given initial values) such that I can include them in my Excel-tables for plotting.

Have fun -


see for more material:

Attached Files
.pdf   ComparisionOfInterpolations.pdf (Size: 352.81 KB / Downloads: 437)
Gottfried Helms, Kassel

Messages In This Thread
[Update] Comparision of 5 methods of interpolation to continuous tetration - by Gottfried - 10/13/2013, 02:20 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  My interpolation method [2020] tommy1729 1 686 02/20/2020, 08:40 PM
Last Post: tommy1729
  Possible continuous extension of tetration to the reals Dasedes 0 1,677 10/10/2016, 04:57 AM
Last Post: Dasedes
  Tribonacci interpolation ? tommy1729 0 2,281 09/08/2014, 10:37 AM
Last Post: tommy1729
  How many methods have this property ? tommy1729 1 3,017 05/22/2014, 04:56 PM
Last Post: sheldonison
  (MSE): Comparision of powertowers -.Possibly interesting thread in MSE Gottfried 0 2,244 05/22/2013, 07:02 AM
Last Post: Gottfried
  [UFO] - a contradiction in assuming continuous tetration? Gottfried 18 24,632 08/29/2010, 08:44 PM
Last Post: Gottfried
  Self tetraroot constructed via Newton series interpolation mike3 2 7,265 07/11/2010, 03:38 AM
Last Post: mike3
  Borel summation and other continuation/summability methods for continuum sums mike3 2 5,934 12/30/2009, 09:51 PM
Last Post: mike3
  A false interpolation paradigm (?); a reconsideration Gottfried 4 8,379 09/17/2009, 08:17 AM
Last Post: bo198214
  exponential polynomial interpolation Gottfried 3 7,805 07/16/2008, 10:32 PM
Last Post: andydude

Users browsing this thread: 1 Guest(s)