On the Bézoutian for polynomial matrices

DOI10.1016/0024-3795(85)90251-4zbMath0577.15017OpenAlexW2094634118MaRDI QIDQ1065902

Harald K. Wimmer, Vlastimil Pták

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90251-4

zbMATH Keywords

linear matrix equationBarnett factorizationBézoutian of polynomial matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrices over function rings in one or more variables (15A54)

Related Items (4)

A factorization of the generalized bezoutian 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 ⋮ Inversion des matrices de Hankel. (Inversion of Hankel matrices)

Cites Work

• On symmetric rational transfer functions
• Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
• Lyapunov, Bézout, and Hankel
• Problems of control and information theory (Hungary)

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