Analytical approximations to the Lambert W function

被引：10

作者：

Wu, Baisheng ^{[1
]}

Zhou, Yixin ^{[1
]}

Lim, C. W. ^{[2
]}

Zhong, Huixiang ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Electromech Engn, Guangzhou 510006, Peoples R China

[2] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Tat Chee Ave, Hong Kong, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2022年 / 104卷

基金：

中国国家自然科学基金;

关键词：

Lambert W function; Pad? approximation; Root; Schr?der?s iteration; Transcendental equation;

D O I：

10.1016/j.apm.2021.11.024

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Lambert W function is defined as the multivalued inverse of the function w -> we(w). 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 Pade approx-imation and Schroder's iteration. This method can also be extended to solve other tran-scendental equations in science and engineering. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：114 / 121

页数：8

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