Bézoutians of polynomial matrices and their generalized inverses

DOI10.1016/0024-3795(89)90663-0zbMath0682.15004OpenAlexW1993341844MaRDI QIDQ1824011

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)90663-0

zbMATH Keywords

polynomial matricesHankel matrixgeneralized inversesBézoutiancoprime\(\{\) 1,2\(\}\) -inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over function rings in one or more variables (15A54)

Related Items

On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems ⋮ On invertibility of nonsquare generalized Bezoutians ⋮ The kernel of the Bézoutian of polynomial matrices ⋮ Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas ⋮ Generalized inverses of Hankel and Toeplitz mosaic matrices ⋮ Group and Moore-Penrose invertibility of Bézoutians

Cites Work

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• On symmetric rational transfer functions
• Algebraic system theory: An analyst's point of view
• Generalized Bézoutians and block Hankel matrices
• 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

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