Generalized Bézoutians and block Hankel matrices

DOI10.1016/0024-3795(89)90552-1zbMath0685.15011OpenAlexW2076558680MaRDI QIDQ1825925

Harald K. Wimmer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90552-1

zbMATH Keywords

polynomial matricesHankel matrixrational matrixidentityBézoutian

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)

Related Items

Matrix representations of Bezoutians ⋮ The kernel of the Bézoutian of polynomial matrices ⋮ Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field ⋮ Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas ⋮ Bézoutians of polynomial matrices and their generalized inverses ⋮ Group and Moore-Penrose invertibility of Bézoutians

Cites Work

• Unnamed Item
• On symmetric rational transfer functions
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Generalized Bezoutian and Sylvester matrices in multivariable linear control