Describing the beta method using fractional linear transformations

[bo198214]

So what does this have to do with bo?

I feel a bit uncomfortable if you do this personally for me

Additionally, I'm hoping to explain this construction more simply to Bo, who I don't think has grasped the beta method and how it works.

How am I doing, bo

EDIT! Also, much of my work on stuff like this is not published in a peer reviewed manner. But I'm fairly well known at U of T for a lot of good work, and much of my work has been peer reviewed by professors at U of T. So it's not all coming out of my ass like your regular poster. A bit is coming outta my ass; but I've been "peer reviewed" on a lot of my work at u of t.

Sounds all pretty solid to me. Why don't you going to publish? Proven convergence of methods to calculate crescent iteration is a rare thing.
Though I could imagine your proofs could become a bit wobbly if it is about to sending the period to infinity.
I just remember Kouznetsov's solution is asymptotically periodic, did you consider this already?

Yeah this brings the beta method much closer to me. Though it is also a psychological thing:
If someone says: read this article and tell me, its by no way as inviting than developing it in a dialogue.
That's why I always would people encourage to post and explain things (so to say interactively) in the forum than just referencing something that they wrote somewhere.
On the other hand you are really lucky that I am pressing more time from myself to spend on the forum than is good for me!