Regular iteration using matrix-Jordan-form

[tommy1729]

Maybe I read Gottfried's post too fast , but what is the difference/benefit between using Jordan form and the matrix-logarithm ?

Maybe its in the links , I did not read them yet.

Another thing :

I think fake function theory is suitable for formal power series / parabolic fixpoints.

That would really put Taylor series on the map.

One could then study for instance fake(exp^[1/2]) vs fake((exp(x)-1)^[1/2]).

I also wonder about the difference of their position of zero's.

Im not trying to claim superiority of fake function theory over matrices but I wanted to show a possible alternative way.

Need some time ...

regards

tommy1729