Computing Octonions Roots by Newton’s Method

When the task is to find the roots of octonions or quaternions numbers, we immediately think of Euler’s and De Moivre’s formulas. In this work, we show that the task can be accomplished numerically using Newton-Raphson method.

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Publication Details

Journal
Journal of Applied Mathematics and Physics
Published
2025-01-01
DOI
https://doi.org/10.4236/jamp.2025.136117
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

Computing Octonions Roots by Newton’s Method

W. Eltayeb Ahmed, N. Ahmed
Journal of Applied Mathematics and Physics
Algebraic and Geometric Analysis
article

Computing Octonions Roots by Newton’s Method

W. Eltayeb Ahmed, N. Ahmed
article en

Abstract

When the task is to find the roots of octonions or quaternions numbers, we immediately think of Euler’s and De Moivre’s formulas. In this work, we show that the task can be accomplished numerically using Newton-Raphson method.

Journal of Applied Mathematics and PhysicsVol. 13(06)
Openalex Percentile: Top 77%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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Computing Octonions Roots by Newton’s Method — W. Eltayeb Ahmed, N. Ahmed · Journal of Applied Mathematics and Physics (2025) | TGRS Research Map | TGRS