Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field

DOI10.1016/j.laa.2010.01.032zbMath1221.15059OpenAlexW2001999741MaRDI QIDQ969002

Huazhang Wu

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.032

zbMATH Keywords

factorizationpolynomial modulediagonal reductionconfluent Vandermonde matrixBarnett-type formulageneralized polynomial BezoutianJacobson chain basis

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

On the Bézoutian matrix for Chebyshev polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic methods for Toeplitz-like matrices and operators
• Inertia characteristics of self-adjoint matrix polynomials
• On the Bézoutian for polynomial matrices
• Resultants, companion matrices, and Jacobson chains
• On Bézoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion
• On Bézoutian reduction with the Vandermonde matrix
• Algebraic system theory: An analyst's point of view
• An elementary proof of the stability criterion of Lienard and Chipart
• Bézoutian representation via Vandermonde matrices
• Bézoutians
• Generalized Bézoutians and block Hankel matrices
• A generalized bezoutian matrix
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Duality in polynomial models with some applications to geometric control theory
• Generalized Bezoutian and Sylvester matrices in multivariable linear control
• Problems of control and information theory (Hungary)
• A Note on the Bezoutian Matrix
• Polynomial Bézoutian matrix with respect to a general basis
• Generalized polynomial bases and the Bézoutian

This page was built for publication: Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field