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arXiv · 2304.08930

A Method for Solving quadratic Equations in Real Quaternion Algebra by using Scilab software

Geanina Zaharia·Diana-Rodica Munteanu
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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 $\mathbb{H}(\alpha,\beta)$. 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 $\mathbb{H}(\alpha,\beta)$.

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Geanina Zaharia, Diana-Rodica Munteanu. 2023-04-18. A Method for Solving quadratic Equations in Real Quaternion Algebra by using Scilab software. https://arxiv.org/abs/2304.08930

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