Asymptotic expansions of exp-log functions

Daniel Richardson; Bruno Salvy; John Shackell; Joris Van der Hoeven

doi:10.1145/236869.237089

Asymptotic expansions of exp-log functions

Daniel Richardson
, Bruno Salvy
, John Shackell
, Joris Van der Hoeven

University of Bath

Research output: Contribution to conference › Paper › peer-review

Abstract

We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suffer from problems of indefinite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function.

Original language	English
Pages	309-313
Number of pages	5
DOIs	https://doi.org/10.1145/236869.237089
Publication status	Published - 1 Jan 1996
Externally published	Yes
Event	Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, ISSAC 96 - Zurich, Switz Duration: 24 Jul 1996 → 26 Jul 1996

Conference

Conference	Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, ISSAC 96
City	Zurich, Switz
Period	24/07/96 → 26/07/96

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10.1145/236869.237089

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title = "Asymptotic expansions of exp-log functions",

abstract = "We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suffer from problems of indefinite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function.",

author = "Daniel Richardson and Bruno Salvy and John Shackell and \{Van der Hoeven\}, Joris",

year = "1996",

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doi = "10.1145/236869.237089",

language = "English",

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AU - Richardson, Daniel

AU - Salvy, Bruno

AU - Shackell, John

AU - Van der Hoeven, Joris

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suffer from problems of indefinite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function.

AB - We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suffer from problems of indefinite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function.

UR - https://www.scopus.com/pages/publications/0030399091

U2 - 10.1145/236869.237089

DO - 10.1145/236869.237089

M3 - Paper

AN - SCOPUS:0030399091

SP - 309

EP - 313

T2 - Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, ISSAC 96

Y2 - 24 July 1996 through 26 July 1996

ER -

Asymptotic expansions of exp-log functions

Abstract

Conference

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