Matrices with prescribed characteristic polynomial and principal blocks

DOI10.1017/S0013091500016527zbMath0464.15004OpenAlexW2025266371MaRDI QIDQ3915101

G. N. de Oliveira

Publication date: 1981

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500016527

zbMATH Keywords

characteristic polynomialprincipal blocks

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (14)

Matrices with prescribed eigenvalues and principal submatrices ⋮ Sums and products of matrices with prescribed similarity classes ⋮ Completely controllable pairs of matrices with prescribed positions ⋮ Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants ⋮ Matrices with prescribed characteristic polynomial and principal blocks. II ⋮ Matrix pencils completion problems ⋮ Similarity invariants of completions of submatrices ⋮ Matrices with prescribed eigenvalues and prescribed submatrices. II ⋮ The number of invariant polynomials of a matrix with prescribed complementary submatrices ⋮ Controllability of partially prescribed matrices ⋮ Matrix completion problems ⋮ Matrices with prescribed eigenvalues and prescribed submatrices ⋮ Matrices with prescribed submatrices ⋮ Matrices with prescribed eigenvalues and blocks

Cites Work

• Unnamed Item
• Existenzsätze in der Theorie der Matrizen und lineare Kontrolltheorie
• Matrices with Prescribed Entries and Characteristic Polynomial
• On the eigenvalues of the matrix

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