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The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory

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Publication:1583720
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DOI10.1016/S0024-3795(00)00125-7zbMath0966.15011OpenAlexW1971880286MaRDI QIDQ1583720

J. A. Dias da Silva, Cristina Caldeira

Publication date: 16 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00125-7


zbMATH Keywords

Kronecker suminvariant factorsadditive theoryCauchy-Davenport Theorem


Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Miscellaneous inequalities involving matrices (15A45)


Related Items (3)

Blocks of consecutive integers in sumsets (A + B)t ⋮ Generalized derivations and additive theory ⋮ A Pollard type result for restricted sums



Cites Work

  • Unnamed Item
  • A note on the minimal polynomial of the Kronecker sum of two linear operators
  • Matrices with prescribed rows and invariant factors
  • Interlacing inequalities and control theory
  • A Generalisation of the Theorem of Cauchy and Davenport
  • Controllability and Hermite indices of matrix pairs
  • On the Addition of Residue Classes
  • A Historical Note


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