The dynamics of Padé approximation

YJM Tourigny; PG Drazin

doi:10.1088/0951-7715/15/3/316

The dynamics of Padé approximation

YJM Tourigny, PG Drazin

Research output: Contribution to journal › Article (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 contribution	The dynamics of Padé approximation
Original language	English
Pages (from-to)	787 - 805
Number of pages	19
Journal	Nonlinearity
Volume	15 (3)
DOIs	https://doi.org/10.1088/0951-7715/15/3/316
Publication status	Published - May 2002

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

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10.1088/0951-7715/15/3/316

http://www.iop.org/EJ/article/0951-7715/15/3/316/no2316.pdf

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title = "The dynamics of Pad{\'e} approximation",

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.",

author = "YJM Tourigny and PG Drazin",

note = "Publisher: IOP Publishing Ltd Other identifier: IDS number 553VV",

year = "2002",

month = may,

doi = "10.1088/0951-7715/15/3/316",

language = "English",

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pages = "787 -- 805",

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AU - Tourigny, YJM

AU - Drazin, PG

N1 - Publisher: IOP Publishing Ltd Other identifier: IDS number 553VV

PY - 2002/5

Y1 - 2002/5

N2 - 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.

AB - 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.

U2 - 10.1088/0951-7715/15/3/316

DO - 10.1088/0951-7715/15/3/316

M3 - Article (Academic Journal)

VL - 15 (3)

SP - 787

EP - 805

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

ER -

The dynamics of Padé approximation

Abstract

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