Matrices with prescribed submatrices and number of invariant polynomials

DOI10.1016/0024-3795(93)00215-LzbMath0827.15008OpenAlexW1993445488MaRDI QIDQ1890761

Isabel Cabral

Publication date: 23 May 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00215-l

zbMATH Keywords

matrix pencilprescribed submatrixcompletely controllable pairprescribed number of invariant factors

Mathematics Subject Classification ID

Controllability (93B05) Canonical forms, reductions, classification (15A21)

Related Items (12)

On the eigenvalues of matrices with prescribed upper triangular part ⋮ On the number of invariant polynomials of matrix commutators ⋮ On feedback equivalence and completion problems ⋮ Completely controllable pairs of matrices with prescribed positions ⋮ Controllability of pairs of matrices with prescribed entries ⋮ Characteristic polynomials and controllability of partially prescribed matrices ⋮ On the eigenvalues of matrices with prescribed upper triangular part ⋮ The number of invariant polynomials of a matrix with prescribed complementary submatrices ⋮ Controllability of partially prescribed matrices ⋮ On the number of invariant factors of partially prescribed matrices and control theory ⋮ On the invariant polynomials of Jordan products ⋮ On the number of invariant polynomials of partially prescribed matrices

Cites Work

• Matrices with prescribed rows and invariant factors
• Interlacing inequalities and control theory
• Unified theorems on completions of matrix pencils
• Similarity invariants of completions of submatrices
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• Column completion of a pair of matrices
• Points of Continuity of the Kronecker Canonical Form

This page was built for publication: Matrices with prescribed submatrices and number of invariant polynomials