Polynomial equations over octonion algebras

DOI10.1142/S0219498820501029zbMath1450.17012arXiv1808.02875OpenAlexW2964214157WikidataQ114614664 ScholiaQ114614664MaRDI QIDQ3298346

Adam Chapman

Publication date: 14 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02875

zbMATH Keywords

companion matrixpolynomial equationsdivision algebrasoctonion algebrasleft eigenvaluesright eigenvalues

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Alternative rings (17D05)

Related Items (3)

Roots and critical points of polynomials over Cayley–Dickson algebras ⋮ FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS ⋮ Factoring octonion polynomials

Cites Work

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• Standard polynomial equations over division algebras
• A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
• QUADRATIC FORMULAS FOR GENERALIZED QUATERNIONS
• Quaternion quadratic equations in characteristic 2
• Sedeonic equations of ideal fluid
• Algorithms for Finding the Roots of Some Quadratic Octonion Equations

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