On the number of invariant factors of matrix products

DOI10.1016/j.laa.2004.10.029zbMath1077.15011OpenAlexW2088231173MaRDI QIDQ1779407

Eduardo Marques de Sá, Yu Lin Zhang

Publication date: 1 June 2005

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

Full work available at URL: http://hdl.handle.net/10316/4631

zbMATH Keywords

eigenvaluesInvariant factorsSimilarity classesNilpotent matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Canonical forms, reductions, classification (15A21)

Cites Work

• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• On the number of invariant polynomials of the product of matrices with prescribed similarity classes
• Sums and products of matrices with prescribed similarity classes
• A factorization theorem for matrices
• Factorization of Singular Matrices
• The eigenvalues of the product of matrices with prescribed similarity classes^*
• Products of nilpotent matrices
• Products of matrices with prescribed spectra and ranks

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