Analytical approximations to the Lambert W function

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)114-121
Journal / PublicationApplied Mathematical Modelling
Volume104
Online published27 Nov 2021
Publication statusPublished - Apr 2022

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85120821982&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(bead8e82-0430-473f-9059-d88f7fbed72d).html

Abstract

The Lambert W function is defined as the multivalued inverse of the function w↦wew. It has a wide range of applications. We propose a new method to construct a high-precision analytical approximation of the two branches of W. The method is based on Padé approximation and Schröder's iteration. This method can also be extended to solve other transcendental equations in science and engineering.

Research Area(s)

  • Lambert W function, Padé approximation, Root, Schröder's iteration, Transcendental equation

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Publication fingerprints text

100
Analytical Approxim... Keyphrases
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Lambert W Function Keyphrases
100
approximations INIS
50
Pad Approximation Keyphrases
50
Transcendental Equa... Keyphrases
50
Multi-valued Keyphrases
50
Two-branch Keyphrases
33
range INIS
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engineering INIS
33
applications INIS
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Citation Format(s)

[ RIS ] [ BibTeX ]
Analytical approximations to the Lambert W function. / Wu, Baisheng; Zhou, Yixin; Lim, C. W. et al.
In: Applied Mathematical Modelling, Vol. 104, 04.2022, p. 114-121.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review