The structure of nonsingular polynomial matrices

DOI10.1007/BF01752407zbMath0474.15007OpenAlexW1980953043MaRDI QIDQ3929886

Harald K. Wimmer

Publication date: 1981

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01752407

zbMATH Keywords

nonsingular polynomial matrices

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54)

Related Items (9)

Duality of finite Abelian groups and a Jordan normal form of integer matrices ⋮ Interlacing inequalities for regular pencils ⋮ Realization and partial fractions ⋮ Descriptor representations without direct feedthrough term ⋮ Möbius transformations of matrix polynomials ⋮ Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors ⋮ On observability subspaces ⋮ Indefinite inner-product spaces associated with Hermitian polynomial matrices ⋮ Hermitian polynomial matrices, isometries and inertial signs

Cites Work

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• Algebraic system theory: An analyst's point of view
• A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients
• Jordan-Ketten und Realisierungen rationaler Matrizen
• A Jordan Factorization Theorem for Polynomial Matrices
• Matrices of rational functions
• Structural properties of linear dynamical systems
• Mathematical Description of Linear Dynamical Systems

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