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

2023/04/18 by Zaharia, Geanina, Munteanu, Diana-Rodica
#15A18 #17A35 #17A45 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2304.08930

Abstract

In this paper, we present some numerical applications for the equation x²+ax+b=0, where a, b are two quaternionic elements in 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 ℍ(α,β).

Related

• Algorithms and Polynomiography for Solving Quaternion Quadratic Equations
• Quadratic formulas for split quaternions
• Basis-free Solution to General Linear Quaternionic Equation
• N-th root
• Splitting quaternion algebras over quadratic number fields