The number of invariant polynomials of a matrix with prescribed complementary submatrices

DOI10.1016/0024-3795(95)00688-5zbMath0873.15005OpenAlexW2080240985MaRDI QIDQ5961696

Zhang Yu Lin, M. Graça Marques, Fernando Conceição Silva

Publication date: 26 February 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00688-5

zbMATH Keywords

canonical forminvariant polynomialsblock matrixprescribed complementary submatrices

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items

On the number of invariant polynomials of matrix commutators ⋮ The number of nonconstant invariant polynomials of matrices with several prescribed blocks ⋮ Matrix completion problems ⋮ On the number of invariant factors of partially prescribed matrices and control theory ⋮ Inverse matrix eigenvalue problems ⋮ Eigenvalues of matrices with several prescribed blocks. II

Cites Work

• Unnamed Item
• Matrices with prescribed rows and invariant factors
• Matrices with prescribed eigenvalues and principal submatrices
• Interlacing inequalities and control theory
• Matrices with prescribed characteristic polynomial and principal blocks. II
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• On the number of invariant polynomials of partially prescribed matrices
• The number of invariant polynomials of a matrix with prescribed off-diagonal blocks
• Matrices with prescribed submatrices and number of invariant polynomials
• Matrices with prescribed characteristic polynomial and principal blocks
• On the eigenvalues of the matrix