On Bézoutian reduction with the Vandermonde matrix

DOI10.1016/0024-3795(89)90712-XzbMath0678.15021MaRDI QIDQ1123955

Gabriela Sansigre, Manuel Alvarez

Publication date: 1989

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

zbMATH Keywords

complex polynomialsVandermonde matrixcongruencemultiple zerosBézoutian matrixBézoutian polynomial

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (9)

More on Loewner matrices ⋮ Vandermonde factorization and canonical representations of block Hankel matrices ⋮ Solving Toeplitz systems after extension and transformation ⋮ Biorthogonal Polynomial Bases and Vandermonde‐like Matrices ⋮ Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. I: Transformations ⋮ Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field ⋮ Polynomial Bézoutian matrix with respect to a general basis ⋮ Generalized polynomial bases and the Bézoutian ⋮ Bézoutian representation via Vandermonde matrices

Cites Work

• Unnamed Item
• Hankel and Loewner matrices
• Algebraic methods for Toeplitz-like matrices and operators
• Bézoutians and intertwining matrices
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• Bezoutiants, Elimination and Localization
• A Note on the Bezoutian Matrix

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