Matrices over nondivision algebras without eigenvalues

DOI10.1007/s00006-015-0615-0zbMath1351.15014OpenAlexW2246622304WikidataQ59469717 ScholiaQ59469717MaRDI QIDQ297577

Gerhard Opfer, Drahoslava Janovská

Publication date: 27 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0615-0

zbMATH Keywords

diagonalizable and triangulizable matrices over nondivision algebraseigenvalues of matrices over a general \({\mathbb{R}^{4}}\) algebraeigenvalues of matrices over coquaternionseigenvalues of matrices over nondivision algebrassplit-quaternions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Related Items (4)

Factorization of Perplex Integers ⋮ Niven's algorithm applied to the roots of the companion polynomial over \(\mathbb {R}^4\) algebras ⋮ Algebraic techniques for eigenvalues and eigenvectors of a nectarine matrix in nectarine algebra ⋮ The relation between the companion matrix and the companion polynomial in \(\mathbb {R}^4\) algebras

Cites Work

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• A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
• Similarity of matrices in which the elements are real quaternions
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