Products of matrices with prescribed spectra and ranks

DOI10.1016/S0024-3795(01)00418-9zbMath1002.15016WikidataQ127955341 ScholiaQ127955341MaRDI QIDQ5956245

Laura Iglésias, Fernando Conceição Silva, Susana Furtado

Publication date: 4 September 2002

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

zbMATH Keywords

eigenvaluesproducts of matricesrankmatrix factorizationprescribed ranks and eigenvalues

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

FURTHER GEOMETRIC RESTRICTIONS ON JORDAN STRUCTURE IN MATRIX FACTORIZATION ⋮ Covering singular linear semi-groups ⋮ On the number of invariant factors of matrix products ⋮ Ranks and determinants of the sum of matrices from unitary orbits

Cites Work

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• Products of diagonalizable matrices
• A factorization theorem for matrices
• Nilpotent factorization of matrices
• Factorization of Singular Matrices
• On the eigenvalues of the matrix
• Factorization of a singular matrix into nilpotent matrices with prescribed ranks
• Products of nilpotent matrices

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