The dynamics of Padé approximation

YJM Tourigny, PG Drazin

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)

Abstract

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 contributionThe dynamics of Padé approximation
Original languageEnglish
Pages (from-to)787 - 805
Number of pages19
JournalNonlinearity
Volume15 (3)
DOIs
Publication statusPublished - May 2002

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 553VV

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