Numerical Approximation of Lambert W Function For Real Values By Unique Method of Quadratic Approximation
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909919749341184 |
|---|---|
| author | Wadhawan, Narinder Kumar |
| author_facet | Wadhawan, Narinder Kumar |
| contents | This paper introduces a new numerical method for approximating the Lambert W function in the real domain. The method transforms the function into a simpler form that allows iterative refinement of an initial guess. Two iterative strategies are proposed for positive inputs, and the method is extended to handle negative inputs within a defined range. Unlike standard methods, this approach works for both branches without restrictive initial assumptions. Examples and software demonstrate the accuracy and flexibility of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical Approximation of Lambert W Function For Real Values By Unique Method of Quadratic Approximation Wadhawan, Narinder Kumar Numerical Analysis 33F05 This paper introduces a new numerical method for approximating the Lambert W function in the real domain. The method transforms the function into a simpler form that allows iterative refinement of an initial guess. Two iterative strategies are proposed for positive inputs, and the method is extended to handle negative inputs within a defined range. Unlike standard methods, this approach works for both branches without restrictive initial assumptions. Examples and software demonstrate the accuracy and flexibility of the method. |
| title | Numerical Approximation of Lambert W Function For Real Values By Unique Method of Quadratic Approximation |
| topic | Numerical Analysis 33F05 |
| url | https://arxiv.org/abs/2511.18381 |