A Jordan Factorization Theorem for Polynomial Matrices

DOI10.2307/2042741zbMath0421.15012OpenAlexW4235413555MaRDI QIDQ3853772

Harald K. Wimmer

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042741

zbMATH Keywords

polynomial matricesshift operatorJordan normal formJordan chainsrealisations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21) Controllability, observability, and system structure (93B99)

Related Items (11)

Spectral properties of lambda-matrices ⋮ Tangent spaces of rational matrix functions ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ On the parametrization of conditioned invariant subspaces and observer theory ⋮ On Hamiltonian rational transfer functions ⋮ The structure of nonsingular polynomial matrices ⋮ Extending the notions of companion and infinite companion to matrix polynomials ⋮ On symmetric rational transfer functions ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian ⋮ The algebraic Riccati equation. - A polynomial approach ⋮ A study of behaviors

Cites Work

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• Algebraic system theory: An analyst's point of view
• Jordan-Ketten und Realisierungen rationaler Matrizen
• Zur Theorie der λ-Matrizen
• Matrices of rational functions

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