Tensored polynomial models

DOI10.1016/j.laa.2009.09.013zbMath1181.15032OpenAlexW4205986283MaRDI QIDQ1044562

Paul A. Fuhrmann, Uwe R. Helmke

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.09.013

zbMATH Keywords

tensor productsKronecker productsSylvester equationpolynomial modelsBézoutians

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69)

Related Items (2)

On tangential matrix interpolation ⋮ On the elementary divisors of the Sylvester and Lyapunov maps

Cites Work

• Equivalence conditions for behaviors and the Kronecker canonical form
• Multidimensional constant linear systems
• On the elementary divisors of the Sylvester and Lyapunov maps
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• Stability theory for high order equations
• Algebraic system theory: An analyst's point of view
• Tangent spaces of rational matrix functions
• A study of behaviors
• Bézoutians
• Factoring and decomposing a class of linear functional systems
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• Duality in polynomial models with some applications to geometric control theory
• Generalized Bezoutian and Sylvester matrices in multivariable linear control
• On Quadratic Differential Forms
• On the Use of Functional Models in Model Reduction
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS
• A Note on the Bezoutian Matrix
• Generalized polynomial bases and the Bézoutian
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