The number of invariant polynomials of a matrix with prescribed off-diagonal blocks

DOI10.1016/S0024-3795(96)00202-9zbMath0945.15006OpenAlexW1992094467MaRDI QIDQ1359182

Maria da Graça Marques

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00202-9

zbMATH Keywords

block matrixinvariant polynomial

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (5)

On the number of invariant polynomials of matrix commutators ⋮ The number of nonconstant invariant polynomials of matrices with several prescribed blocks ⋮ The number of invariant polynomials of a matrix with prescribed complementary submatrices ⋮ Matrix completion problems ⋮ Inverse matrix eigenvalue problems

Cites Work

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• Matrices with prescribed nonprincipal blocks and the trace function
• On the number of invariant polynomials of the matrix \(XAX^{-1}+B\)
• Matrices with prescribed off-diagonal elements
• Invariant polynomials of sums of matrices
• On the eigenvalues of the matrix

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