i advise to use this for the computation around the fixpoint
(a x + k x^2 + ...)^[t] = a^t x + k a^(t-1) ( a^t - 1 )/(a-1) x^2 + ...
This quadration approximation is then plugged in
f^[t](x) = lim f^[n] ( a^t y + k a^(t-1) ( a^t - 1 )/(a-1) y^2 )
where y = f^[-n](x) and a and b can be easily computed from the closed form for x_n and taylors theorem.
Call it the quadratic fixpoint formula or so
regards
tommy1729
(a x + k x^2 + ...)^[t] = a^t x + k a^(t-1) ( a^t - 1 )/(a-1) x^2 + ...
This quadration approximation is then plugged in
f^[t](x) = lim f^[n] ( a^t y + k a^(t-1) ( a^t - 1 )/(a-1) y^2 )
where y = f^[-n](x) and a and b can be easily computed from the closed form for x_n and taylors theorem.
Call it the quadratic fixpoint formula or so
regards
tommy1729
