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The product of two invertible quadratic matrices: exceptional cases

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Publication:2687248
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DOI10.1016/j.laa.2022.12.027OpenAlexW4313593448MaRDI QIDQ2687248

Clément de Seguins Pazzis

Publication date: 1 March 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2022.12.027


zbMATH Keywords

decompositionGalois theoryquadratic matricescompanion matricesrational canonical form


Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)


Related Items (1)

Products of two involutions in orthogonal and symplectic groups



Cites Work

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  • Sums of two triangularizable quadratic matrices over an arbitrary field
  • Products of unipotent matrices of index 2
  • Sums and products of two quadratic matrices
  • Factorization of matrices into quadratic ones. II
  • The sum and the product of two quadratic matrices: regular cases
  • Product of two involutions
  • The product of two quadratic matrices
  • Products of two unipotent matrices of index 2


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