Reconstruction of a rational nonsquare matrix function from local data

DOI10.1007/BF01205283zbMath0816.47009OpenAlexW2079731703MaRDI QIDQ1341055

Joseph A. Ball, Marek Rakowski, Israel Gohberg

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf01205283

zbMATH Keywords

rational functionsrational matrix functioncompute the local spectral datalocal zero-pole structurelocations of zeros and poles

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Matrices over function rings in one or more variables (15A54)

Related Items (2)

Bitangential interpolation problems for symmetric rational matrix functions ⋮ On realization of left and right products of rational functions

Cites Work

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• Minimal McMillan degree rational matrix functions with prescribed local zero-pole structure
• Interpolation and local data for meromorphic matrix and operator functions
• Minimal factorization of meromorphic matrix functions in terms of local data
• Poles and zeros of matrices of rational functions
• Generalized pseudoinverses of matrix valued functions
• Null-pole subspaces of nonregular rational matrix functions
• Spectral factorization of rectangular rational matrix functions with application to discrete Wiener-Hopf equations
• Column reduced rational matrix functions with given null-pole data in the complex plane
• Coupling operators, Wedderburn-Forney spaces, and generalized inverses
• Global inverse spectral problems for rational matrix functions
• A connection between state-space and doubly coprime fractional representations
• Zero data and interpolation problems for rectangular matrix polynomials
• Properties of the system matrix of a generalized state-space system†
• On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings

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