On similarity invariants of matrix commutators and Jordan products

DOI10.1016/j.laa.2004.12.011zbMath1089.15013OpenAlexW2072541015MaRDI QIDQ1779411

Enide Andrade Martins, Susana Furtado, Fernando Conceição Silva

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.12.011

zbMATH Keywords

eigenvaluesranksinvariant polynomialsmatrix commutatorsJordan product

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Cites Work

• On the number of invariant polynomials of the product of matrices with prescribed similarity classes
• On the number of invariant polynomials of matrix commutators
• On the invariant polynomials of Jordan products
• On the eigenvalues of Jordan products
• The rank of a commutator
• The rank of the difference of matrices with prescribed similarity classes
• On the eigenvalues of the matrix
• The eigenvalues of the product of matrices with prescribed similarity classes^*
• Eigenvalues of matrix commutators^∗
• On similarity invariants of matrix commutators
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