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Regular iteration using matrix-Jordan-form
(editing remark: I changed the title or the original posting because of the contents of my current post in which I establish the connection between Regular iteration and the matrix-Jordan-form and give also a couple of online references)

Hi -

in answering a question in mathoverflow concerning a sequence of numbers given in OEIS (, which are somehow related to fractional iteration for the f(x) = exp(x)-1 I found a surprising coincidence :

I've no further explanation so far, but it is interesting that the Jordan-form gives access to a variant of the Schröder-function to implement fractional iteration which was only possible with the matrix-logarithm (in that whole framework of the matrix-concept).
Perhaps I can say something more soon.

Gottfried Helms, Kassel

Messages In This Thread
Regular iteration using matrix-Jordan-form - by Gottfried - 12/11/2013, 01:04 AM

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