bo198214 Wrote:I dont get it. Isnt the matrix decomposition independent of the fixed point?
It means, we can have different eigenmatrices / sets of eigenvectors resulting in the same composition for the infinite matrix Bs. This agrees with the fact, that we have multiple fixpoints for a base s.
For e^-e < s < e^(1/e) we have even two real fixpoints; for other s the fixpoints are complex.
So we may write ( I assume the continuation to more than two solutions)
Bs = W0 * D0 * W0^-1
= W1 * D1 * W1^-1
= W2 * D2 * W2^-1
where W0 and D0 are different to W1 and D1 (and assumed to W2 and D2,...) according to the different initialization with different fixpoints
Gottfried Helms, Kassel

