Extending the notions of companion and infinite companion to matrix polynomials

DOI10.1016/S0024-3795(98)10204-5zbMath0979.15003MaRDI QIDQ1300899

Zdeněk Vavřín, Vlastimil Pták, Marc Van Barel

Publication date: 19 February 2002

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

zbMATH Keywords

factorizationblock Hankel matricesmatrix polynomialsdilation theoryinfinite companion matrixsystem of linear difference or differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (2)

Algorithms for finding the minimal polynomials and inverses of resultant matrices ⋮ Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas

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