Analytical approximations to the Lambert W function

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
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Author(s)

Detail(s)

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

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

Citation Format(s)

Analytical approximations to the Lambert W function. / Wu, Baisheng; Zhou, Yixin; Lim, C. W.; Zhong, Huixiang.

In: Applied Mathematical Modelling, Vol. 104, 04.2022, p. 114-121.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review