Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Matrix-method: compare use of different fixpoints
#21
Gottfried Wrote:Hmm, this point disppeared for me, when I read your post first time.
So I could say, that this is already fixed, what I always called "my hypothesis about the set of eigenvalues"?

For the infinite case it is clear (by the existence of Schroeder functions at the fixed points), that is a set of Eigenvalues of for each fixed point .

Quote:Further it may then be interesting to develop arguments for the degenerate case... In my "increasing size" (of the truncated Bell-matrix) analyses the courious aspect for base , appeared, that the set of eigenvalues show decreasing distances between them but also new eigenvalues pop up, and each new eigenvalue was smaller than the previous. See page "Graph"So there are concurring tendencies - and it may be fruitful to do an analysis, why this/how this could be compatible with the/a limit case, where they are assumed to approach 1 asymptotically.
I really have no idea about the structure of Eigenvalues of truncations in this case. But somehow the non-integer iterations seem to converge in this case too (?)
Reply


Messages In This Thread
RE: Matrix-method: compare use of different fixpoints - by bo198214 - 11/12/2007, 11:52 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  The Promised Matrix Add On; Abel_M.gp JmsNxn 2 561 08/21/2021, 03:18 AM
Last Post: JmsNxn
  Revisting my accelerated slog solution using Abel matrix inversion jaydfox 22 30,989 05/16/2021, 11:51 AM
Last Post: Gottfried
  Which method is currently "the best"? MorgothV8 2 7,711 11/15/2013, 03:42 PM
Last Post: MorgothV8
  "Kneser"/Riemann mapping method code for *complex* bases mike3 2 10,047 08/15/2011, 03:14 PM
Last Post: Gottfried
  An incremental method to compute (Abel) matrix inverses bo198214 3 13,092 07/20/2010, 12:13 PM
Last Post: Gottfried
  SAGE code for computing flow matrix for exp(z)-1 jaydfox 4 13,323 08/21/2009, 05:32 PM
Last Post: jaydfox
  regular sexp:different fixpoints Gottfried 6 18,323 08/11/2009, 06:47 PM
Last Post: jaydfox
  Convergence of matrix solution for base e jaydfox 6 14,368 12/18/2007, 12:14 AM
Last Post: jaydfox



Users browsing this thread: 1 Guest(s)