On tangential matrix interpolation

DOI10.1016/j.laa.2010.07.018zbMath1210.47042OpenAlexW2052560220MaRDI QIDQ603133

Paul A. Fuhrmann

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.018

zbMATH Keywords

Hankel operatormoment problemsChinese remainder theoremtangential interpolationfunctional modelsrational modelsToepliz operator

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) Moment problems and interpolation problems in the complex plane (30E05) Interpolation and approximation (educational aspects) (97N50)

Related Items

On multivariable proper rational interpolation using coprime factors, A general approach to multivariable recursive interpolation, On Theorems of Halmos and Roth

Cites Work

• On the solution of the minimal rational interpolation problem
• On symmetric rational transfer functions
• On the state of behaviors
• Tensored polynomial models
• From time series to linear system. I: Finite dimensional linear time invariant systems
• The commutant lifting approach to interpolation problems
• Linear multivariable systems
• Algebraic system theory: An analyst's point of view
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Tangent spaces of rational matrix functions
• A study of behaviors
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• On models for linear operators
• A Polynomial Characterization of $(\mathcal{A},\mathcal{B})$-Invariant and Reachability Subspaces
• Paradigms and puzzles in the theory of dynamical systems
• On strict system equivalence and similarity†
• Model Reduction of MIMO Systems via Tangential Interpolation
• Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence
• Generalized Interpolation in H ∞
• Approximation of Large-Scale Dynamical Systems
• Autonomous subbehaviours and output nulling subspaces
• On the parametrization of conditioned invariant subspaces and observer theory
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