Quadratic Equation in Split Quaternions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 20 Apr 2022 English Publisher:MDPI AGJournal:Axioms, volume 11, page 188 (eissn: 2075-1680,

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Authors: Wensheng Cao;

doi: 10.3390/axioms11050188

Quadratic Equation in Split Quaternions

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Abstract

Split quaternions are noncommutative and contain nontrivial zero divisors. Generally speaking, it is difficult to solve equations in such an algebra. In this paper, by using the roots of any split quaternions and two real nonlinear systems, we derive explicit formulas for computing the roots of x2+bx+c=0 in split quaternion algebra.

Related Organizations

Wuyi University
China (People's Republic of)

Keywords

split quaternion, solving polynomial equation, zero divisor, QA1-939, quadratic formula, Mathematics

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