[Regular tetration] [Iteration series] norming fixpoint-dependencies

[Gottfried]

let me recap

A is carleman of z.

B is carleman of base^z.

carleman f(z) = A/(1+B)

but why is 1+B invertible for bases > eta ??

Let M=(I+B), W = M^-1;
ß some eigenvalue of B |ß|>1 , µ =ß+1 eigenvalue of M
w = 1/(1+ß) the according eigenvalue of W

• Heuristically it converges when size is increased (no proof yet).
  
• I suppose: because all |ß|>=1, ==> µ =/= zero,
  or equivalently
  
• 0 < |1/(1+ß)| < 1 for all ß
  

No proof yet