Matrix representations of Bezoutians
From MaRDI portal
Publication:1894501
DOI10.1016/0024-3795(95)00048-VzbMath0827.15031MaRDI QIDQ1894501
Publication date: 17 December 1995
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
companion matrixcirculant matrixmatrix representationsresultant matrixBezoutiansgeneralized Toeplitz-Bezout matrix
Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)
Related Items
Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians ⋮ DFT representations of Toeplitz-plus-Hankel Bézoutians with application to fast matrix-vector multiplication ⋮ A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials ⋮ Bézoutians of rational matrix functions, matrix equations and factorizations ⋮ Generalized companion matrices and matrix representations for generalized Bézoutians
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic methods for Toeplitz-like matrices and operators
- On Bézoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks
- On the history of the Bézoutian and the resultant matrix
- Lyapunov, Bézout, and Hankel
- Bezoutian and Schur-Cohn problem for operator polynomials
- Remarks on the inversion of Hankel matrices
- Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
- Generalized Bézoutian and matrix equations
- Matrix representations of Toeplitz-plus-Hankel matrix inverses
- On the discriminant function of two commuting nonselfadjoint operators
- An introduction to operator polynomials
- An elementary proof of the stability criterion of Lienard and Chipart
- Generalized companion matrices and matrix representations for generalized Bézoutians
- Circulants, displacements and decompositions of matrices
- Generalized Bézoutians and block Hankel matrices
- The Bezoutian and the eigenvalue-separation problem for matrix polynomials
- On the Bezoutian Structure of the Moore–Penrose Inverses of Hankel Matrices
- Generalized Bezoutian and Sylvester matrices in multivariable linear control
- A Note on the Bezoutian Matrix
