Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors

DOI10.1007/BF01196604zbMath0792.47016OpenAlexW2051713312WikidataQ114234025 ScholiaQ114234025MaRDI QIDQ1804044

André C. M. Ran, Leiba Rodman, Marinus A. Kaashoek

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196604

zbMATH Keywords

regular rational matrix functionformulae for the factorsleft null-pole-triples

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Matrices over function rings in one or more variables (15A54) Controllability, observability, and system structure (93B99)

Related Items (2)

Skew-symmetric matrix polynomials and their Smith forms ⋮ Nonsquare spectral factors via factorizations of a unitary function

Cites Work

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• Common minimal multiples and divisors for rational matrix functions
• Minimal factorization of meromorphic matrix functions in terms of local data
• Local inverse spectral problems for rational matrix functions
• An inverse spectral problem for rational matrix functions and minimal divisibility
• General theory of regular matrix polynomials and band Toeplitz operators
• Null-pole subspaces of nonregular rational matrix functions
• Interpolation of rational matrix functions
• Global inverse spectral problems for rational matrix functions
• Regular rational matrix functions with prescribed null and pole data except at infinity
• On symmetric factorizations of rational matrix functions

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