The sum and the product of two quadratic matrices: regular cases

DOI10.1007/s00006-022-01241-zzbMath1497.15013OpenAlexW4295353191WikidataQ114232347 ScholiaQ114232347MaRDI QIDQ2170982

Clément de Seguins Pazzis

Publication date: 8 September 2022

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

Full work available at URL: https://doi.org/10.1007/s00006-022-01241-z

zbMATH Keywords

quaternion algebrasquadratic matricescompanion matricesrational canonical form

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Inverse problems in linear algebra (15A29) Canonical forms, reductions, classification (15A21) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (4)

The sum of two quadratic matrices: exceptional cases ⋮ Products of two involutions in orthogonal and symplectic groups ⋮ The product of two invertible quadratic matrices: exceptional cases ⋮ The quadratic sum problem for symplectic pairs

Cites Work

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• Sums of square-zero operators
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• The product of two quadratic matrices
• Products of two unipotent matrices of index 2

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