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+--- Thread: Down with fixed points! (/showthread.php?tid=1745)
Down with fixed points! - Daniel - 04/28/2023
So I'm working on my implementation of extending tetration in Mathematica and I have major convergence problems as soon as I move out of the Shell-Thron region. I can't do something simple like compute the value of \[^3 2\] using my fractional iteration software. Paulsen's software computes it nicely as well as \[^z b \text{ for } b> e^{1/e}.\]
What if I tweaked my algorithms and software to run without using fixed points? Instead is using \[^\infty b\] as a solution for \[b^{^\infty b}=^\infty b\] I could simplify things by evaluating them at \[b^{^n b}= \;^{n+1}b \text{ where } b\in \mathbb{R}.\]
RE: Down with fixed points! - tommy1729 - 04/29/2023
Im not good with the programming.
Give me the math and I might be able to say something meaningful.
regards
tommy1729