A Method for Solving quadratic Equations in Real Quaternion Algebra by using Scilab software
Year: 2023
Type: preprint
Abstract: In this paper, we present some numerical applications for the equation $x^2+ax+b=0$, where $a, b$ are two quaternionic elements in $\mathbb{H}(α,β)$. Based on well-known solving methods, we have developed a new numerical algorithm that solves the equation for any quaternions a and b in any algebra $\mathbb{H}(α,β)$.
Source: arXiv (Cornell University)
Authors: Zaharia, Geanina, Munteanu, Diana-Rodica
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4366459482