Does anyone know of any direct algorithm to evaluate the inverse Mittag-Leffler function on the real axis?
Afonso,
did you check the reference
H. Seybold and R. Hilfer, Numerical algorithm for calculating the generalized Mittag-Leffler function?
Enrique.
Thanks, Enrique. Yes, I know the work by Seybold and Hilfer. However, their calculation of the inverse Mittag-Leffler function involves the numerical solution of a non-linear equation (let's say by bisection, Newton, or any similar methods). I need to embed the inverse Mittag-Leffler calculations within an optimisation algorithm and process a massive amount of data, for which the mentioned approach would be terribly inefficient.
Pablo, thanks for the reference too. However, their series only converges when 0
Hi Alfonso,
try this mathematica command:
Solve[MittagLefflerE[0.7, x] == 9, x]
it seems to work
{{x -> 1.54163}}
Maybe this paper could be useful!
http://arxiv.org/pdf/1503.06569.pdf
Thanks a lot, Enrique. Actually I'm currently using Roberto's code (available in Matlab FileExchange), particularised and vectorised for calculations on the real axis.
plz help me sir,
I have to fit data using Mittag Leffler function in Matlab
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