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Similarity of the companion matrix and its transpose (with an appendix by Robert M. Guralnick)

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Publication:1970458
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DOI10.1016/S0024-3795(99)00210-4zbMath0949.15016MaRDI QIDQ1970458

Louis Solomon

Publication date: 5 December 2000

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


zbMATH Keywords

similaritycompanion matrix


Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)


Related Items (6)

Algorithms for finding the minimal polynomials and inverses of resultant matrices ⋮ Cyclic matrices and polynomial interpolation over division rings ⋮ A matrix viewpoint for various algebraic extensions ⋮ Strongly clean matrices over arbitrary rings. ⋮ Similarity and commutators of matrices over principal ideal rings ⋮ $\mathsf{XS}$-circuits in block ciphers



Cites Work

  • Unnamed Item
  • On matrix classes corresponding to an ideal and its inverse
  • On the similarity transformation between a matrix and its transpose
  • Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences
  • Noncommutative symmetric functions
  • A correspondence between classes of ideals and classes of matrices


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