Article citationsMore>>

Lewis, D.W. (2006) Quaternion Algebras and the Algebraic Legacy of Hamilton’s Quaternions. Irish Mathematical Society Bulletin, 57, 41-64.
https://doi.org/10.33232/bims.0057.41.64

has been cited by the following article:

• TITLE: Computing Octonions Roots by Newton’s Method

  AUTHORS: W. Eltayeb Ahmed, Nahla Mohamed Ahmed

  KEYWORDS: Octonion, Quaternion, Matrix Algebra, Newton-Raphson Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.6, June 30, 2025

  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.