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The number of nonconstant invariant polynomials of matrices with several prescribed blocks

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Publication:1399235
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DOI10.1016/S0024-3795(02)00660-2zbMath1031.15013MaRDI QIDQ1399235

Glória Cravo, Fernando Conceição Silva

Publication date: 30 July 2003

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


zbMATH Keywords

block matrixinvariant polynomial


Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)


Related Items (1)

Matrix completion problems



Cites Work

  • Unnamed Item
  • Matrices with prescribed rows and invariant factors
  • Interlacing inequalities and control theory
  • Interlacing inequalities for invariant factors
  • Imbedding conditions for \(\lambda\)-matrices
  • The number of invariant polynomials of a matrix with prescribed off-diagonal blocks
  • Eigenvalues of matrices with several prescribed blocks. II
  • Partially specified matrices and operators: classification, completion, applications
  • Matrices with prescribed invariant factors and off-diagonal submatrices
  • Eigenvalues of completions of submatrices
  • On the eigenvalues of the matrix
  • The number of invariant polynomials of a matrix with prescribed complementary submatrices


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