The relation between the companion matrix and the companion polynomial in \(\mathbb {R}^4\) algebras

DOI10.1007/s00006-018-0892-5zbMath1431.15016OpenAlexW2884493449MaRDI QIDQ1990950

Gerhard Opfer, Drahoslava Janovská

Publication date: 26 October 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0892-5

zbMATH Keywords

characteristic polynomial of coquaternionic companion matrixcharacteristic polynomial of quaternionic companion matrixcoquaternionic companion matrixcoquaternionic companion polynomialquaternionic companion matrixquaternionic companion polynomial

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Clifford algebras, spinors (15A66)

Related Items (3)

A survey of some recent results on Clifford algebras in \(\mathbb{R}^4\). ⋮ Algebraic techniques for eigenvalues and eigenvectors of a nectarine matrix in nectarine algebra ⋮ On the quaternionic quadratic equation \(xax+bx+xc+d=0\)

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• On the Zeros of Polynomials over Division Rings
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