Find all fixed points of exp[b] - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Computation (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=8) +--- Thread: Find all fixed points of exp[b] (/showthread.php?tid=917) Pages: 1 2 RE: Find all fixed points of exp[b] - Gottfried - 10/07/2014 (10/07/2014, 01:50 AM)mike3 Wrote: Addendum: You can replace Wapprox with this: Code:```Wapprox(k, z) = {    local(brl = brlog(k, z));    local(lbrl = log(brl));    return(brl - lbrl + sum(kk=0,5,sum(m=1,5,c(kk, m)*lbrl^m * brl^(-kk-m)))); }``` to get even more speed (saves some repeated log calculations).Hi Mike - very well, thank you! I've also made the coefficients c() constants in a small matrix, because your routine uses them only to small arguments but repeatedly, also made Pi2I a constant. I've got 120 frixpoints to base 4 with 200 digits precision in 656 ms on a 2 Ghz machine. Great! Gottfried