Polynomial Bézoutian matrix with respect to a general basis

DOI10.1016/S0024-3795(01)00282-8zbMath0980.15022MaRDI QIDQ5943034

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Publication date: 9 September 2001

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

zbMATH Keywords

Barnett factorization formulaBézoutian reductiondual basespolynomial Bézoutian matricespolynomial Vandermonde matrices

Mathematics Subject Classification ID

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

Related Items (5)

A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials ⋮ On the Bézoutian matrix for Chebyshev polynomials ⋮ Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field ⋮ Displacement structure approach to q-adic polynomial-Vandermonde and related matrices ⋮ Displacement structure approach to \(q\)-adic Chebyshev-Vandermonde-like matrices

Cites Work

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• On Bézoutian reduction with the Vandermonde matrix
• Polynomials with respect to a general basis. I: Theory
• A companion matrix analogue for orthogonal polynomials
• Fast inversion of Chebyshev-Vandermonde matrices
• Displacement-structure approach to polynomial Vandermonde and related matrices
• Bézoutian representation via Vandermonde matrices
• Bézoutians
• Bézout, Hankel, and Loewner matrices
• Some extensions of Hankel and Toeplitz matrices
• A generalized bezoutian matrix
• Polynomial Sequences of Interpolatory Type
• A Note on the Bezoutian Matrix
• Generalized polynomial bases and the Bézoutian
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