open problems / Discussion

[Gottfried]

b) for different fixpoints/different branches of W

Exactly, the question is why does this work only for the lower real fixed point.

What also burningly interests me how this looks with other functions that have an attractive fixed point.
I think for our example \( f(x)=x^2+x-1/16 \) with fixed points \( \pm 1/4 \) this does no more work, that the eigenvalues of the Carleman matrices converge to the powers of the derivative at one fixed point.

What about the branches of Lambert-W ?