• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Applying the iteration methods to simpler functions jaydfox Long Time Fellow Posts: 440 Threads: 31 Joined: Aug 2007 11/09/2007, 05:34 AM (This post was last modified: 11/09/2007, 06:53 AM by jaydfox.) I would not fret if it converges slowly. For example, the slog solution with (E-I)*f=1 converges very slowly, with terms being inaccurate by 10% or more after perhaps the first 1/4th or 1/3rd of the series. For example, for the 200x200 solution, only the first 75 or so terms are accurate to within 20%, only 60 or so to within 10%. And only the first 35 or so terms are accurate to within 1%. The first 20 or so are accurate to within 0.1%. And after about the 90th or 100th term, it's essentially garbage. The purposes of those 110 garbage terms is to make sure that the first 90 non-quite-garbage terms still give us a decent solution. For a 400x400 system, those numbers roughly double (a little less in fact), giving roughly 65-70 terms to within 1%, and about 100 terms to within 10%. For a 600x600 system, we reach 1% inaccuracies already by the 80th term, and 10% by about 140 terms. Since the singularities for the slog are logarithmic to first approximation, I'd expect a similar result for the natural logarithm. ~ Jay Daniel Fox « Next Oldest | Next Newest »

 Messages In This Thread Applying the iteration methods to simpler functions - by bo198214 - 11/05/2007, 11:39 PM RE: Applying the iteration methods to simpler functions - by Gottfried - 11/06/2007, 12:30 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/06/2007, 03:32 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/06/2007, 10:36 AM RE: Applying the iteration methods to simpler functions - by jaydfox - 11/09/2007, 05:34 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/09/2007, 08:36 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/12/2007, 09:40 AM RE: Applying the iteration methods to simpler functions - by Gottfried - 11/12/2007, 10:40 AM RE: Applying the iteration methods to simpler functions - by andydude - 11/13/2007, 12:39 AM RE: Applying the iteration methods to simpler functions - by bo198214 - 11/12/2007, 11:23 AM RE: Applying the iteration methods to simpler functions - by jaydfox - 11/12/2007, 04:41 PM

 Possibly Related Threads... Thread Author Replies Views Last Post The AB functions ! tommy1729 0 1,659 04/04/2017, 11:00 PM Last Post: tommy1729 the inverse ackerman functions JmsNxn 3 6,159 09/18/2016, 11:02 AM Last Post: Xorter Look-alike functions. tommy1729 1 2,143 03/08/2016, 07:10 PM Last Post: hixidom Inverse power tower functions tommy1729 0 1,964 01/04/2016, 12:03 PM Last Post: tommy1729 [2014] composition of 3 functions. tommy1729 0 1,861 08/25/2014, 12:08 AM Last Post: tommy1729 How many methods have this property ? tommy1729 1 2,611 05/22/2014, 04:56 PM Last Post: sheldonison Intresting functions not ? tommy1729 4 5,338 03/05/2014, 06:49 PM Last Post: razrushil [Update] Comparision of 5 methods of interpolation to continuous tetration Gottfried 30 30,856 02/04/2014, 12:31 AM Last Post: Gottfried applying continuum sum to interpolate any sequence. JmsNxn 1 2,996 08/18/2013, 08:55 PM Last Post: tommy1729 generalizing the problem of fractional analytic Ackermann functions JmsNxn 17 22,908 11/24/2011, 01:18 AM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)