Author(s)

W. Eltayeb Ahmed¹, Nahla Mohamed Ahmed²

¹Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia.
²Department of Mathematics, College of Mathematical Sciences, University of Khartoum, Khartoum, Sudan.

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.

Octonion, Quaternion, Matrix Algebra, Newton-Raphson Method

Ahmed, W. and Ahmed, N. (2025) Computing Octonions Roots by Newton’s Method. Journal of Applied Mathematics and Physics, 13, 2097-2112. doi: 10.4236/jamp.2025.136117.