• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 picturing method. tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 07/02/2014, 09:00 PM An important concept is that the equations MUST also hold for : sexp* ' (z) This augments the number of equations. If I am not mistaken by considering sexp* alone you get about N/sqrt(2) equations where N is the number of estimates on the bottom line. by adding the requirement for the derivative you double the amount of equations so you get about sqrt(2) N equations. The degree of the estimated truncated Taylor then has a degree somewhere between N / sqrt(2) - C and N sqrt(2) + C2 where the C's are constants. This makes the idea more serious. How to make the set of equations converging is another matter but it seems some kind of solvability , existance and uniqueness should be possible. --- Btw convergance issues for systems of equations reminds me of an idea I had that my friend mick posted on MSE : http://math.stackexchange.com/questions/...-growing-n For those who are intrested. Not sure if it helps here unless someone has a very general theory about convergance for systems of equations. --- regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread picturing method. - by tommy1729 - 07/02/2014, 08:30 AM RE: picturing method. - by tommy1729 - 07/02/2014, 12:27 PM RE: picturing method. - by tommy1729 - 07/02/2014, 08:14 PM RE: picturing method. - by tommy1729 - 07/02/2014, 09:00 PM RE: picturing method. - by tommy1729 - 07/03/2014, 08:23 AM

 Possibly Related Threads... Thread Author Replies Views Last Post My interpolation method [2020] tommy1729 1 313 02/20/2020, 08:40 PM Last Post: tommy1729 Kneser method question tommy1729 9 1,419 02/11/2020, 01:26 AM Last Post: sheldonison Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 613 09/09/2019, 10:55 PM Last Post: tommy1729 2 fixpoints , 1 period --> method of iteration series tommy1729 0 1,886 12/21/2016, 01:27 PM Last Post: tommy1729 Tommy's matrix method for superlogarithm. tommy1729 0 1,877 05/07/2016, 12:28 PM Last Post: tommy1729 [split] Understanding Kneser Riemann method andydude 7 8,760 01/13/2016, 10:58 PM Last Post: sheldonison Kouznetsov-Tommy-Cauchy method tommy1729 0 2,214 02/18/2015, 07:05 PM Last Post: tommy1729 Problem with cauchy method ? tommy1729 0 2,076 02/16/2015, 01:51 AM Last Post: tommy1729 fake id(x) for better 2sinh method. tommy1729 5 5,395 06/05/2014, 08:21 AM Last Post: tommy1729 Simple method for half iterate NOT based on a fixpoint. tommy1729 2 3,672 04/30/2013, 09:33 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)