arXiv Open Access 2023

A novel Newton-Raphson style root finding algorithm

Komi Agbalenyo Vincent Cailliez Jonathan Cailliez

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Abstrak

Many problems in applied mathematics require root finding algorithms. Unfortunately, root finding methods have limitations. Firstly, regarding the convergence, there is a trade-off between the size of it's domain and it's rate. Secondly the numerous evaluations of the function and its derivatives penalize the efficiency of high order methods. In this article, we present a family of high order methods, that require few functional evaluations ( One for each step plus one for each considered derivative at the start of the method), thus increasing the efficiency of the methods.

Topik & Kata Kunci

math.NA

Penulis (3)

Komi Agbalenyo

Vincent Cailliez

Jonathan Cailliez

Format Sitasi

APA MLA BibTeX

Agbalenyo, K., Cailliez, V., Cailliez, J. (2023). A novel Newton-Raphson style root finding algorithm. https://arxiv.org/abs/2309.00698

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓