"What Hadamard Missed"
Beresford Parlett (UC Berkeley)
In 1892 J. Hadamard received his doctorat d'etat degree for
showing how to calculate the poles of a meromorphic function from its
sequence of Taylor coeffcients. This problem has various applications
but Hadamard's solution is no good for modern computation.
We trace the gradual transformation of his formulae into a powerful
robust algorithm. The contributions of Aitken (in the 1920's) and
Rutishauser (in the 1950's) will be explained and the talk will end
with recent modern developments.