Guaranteed- and high-precision evaluation of the Lambert W function

作者：

Highlights：

• Recursive approximations of both real branches of the Lambert W function via elementary functions.

• Monotone recursive approximations with explicit starting values and simple, uniform error estimates.

• Recursive approximations with quadratic convergence rate.

摘要

•Recursive approximations of both real branches of the Lambert W function via elementary functions.•Monotone recursive approximations with explicit starting values and simple, uniform error estimates.•Recursive approximations with quadratic convergence rate.

论文关键词：Lambert W function,Explicit estimates,Recursive approximations

论文评审过程：Received 25 April 2022, Revised 8 July 2022, Accepted 11 July 2022, Available online 23 July 2022, Version of Record 23 July 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127406