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.