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
收藏
页码：114 / 121
页数：8
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