The analogy between the expansion of a real number as a continued fraction and the summation of a formal power series by means of Pade approximants is studied. The elementary dynamics of the map analogous to the well-known Gauss map of the remainder for the expression of a real number as a continued fraction is thereby developed.
|Translated title of the contribution||The dynamics of Padé approximation|
|Pages (from-to)||787 - 805|
|Number of pages||19|
|Publication status||Published - May 2002|
Bibliographical notePublisher: IOP Publishing Ltd
Other identifier: IDS number 553VV