Bitangential interpolation problems for symmetric rational matrix functions

DOI10.1016/0024-3795(95)00562-5zbMath0858.15013OpenAlexW2026150692MaRDI QIDQ1923145

Joseph A. Ball, Jeongook Kim

Publication date: 23 March 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00562-5

zbMATH Keywords

factorizationresolvent matrixnull-pole triplesbitangential interpolation problemsSylvester data setsymmetric rational matrix functions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operator methods in interpolation, moment and extension problems (47A57) Matrices over function rings in one or more variables (15A54)

Related Items (2)

Dissipative periodic systems and symmetric interpolation in Schur classes ⋮ Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions

Cites Work

• A course in \(H_{\infty}\) control theory
• Hankel norm approximation of real symmetric rational matrix functions
• Simultaneous residue interpolation problems for rational matrix functions
• On the solution of the minimal rational interpolation problem
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• Local inverse spectral problems for rational matrix functions
• Null-pole subspaces of nonregular rational matrix functions
• The commutant lifting approach to interpolation problems
• Interpolation of rational matrix functions
• State space theory of automorphisms of rational matrix functions
• Topics in interpolation theory of rational matrix-valued functions
• \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization
• Column reduced rational matrix functions with given null-pole data in the complex plane
• Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume
• The two-sided residue interpolation in the Stieltjes class of matrix functions
• Reconstruction of a rational nonsquare matrix function from local data
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• Regular rational matrix functions with prescribed null and pole data except at infinity
• Representations of Symmetric Linear Dynamical Systems
• Beurling-Lax Representations Using Classical Lie Groups with Many Applications III: Groups Preserving Two Bilinear Forms
• A behavioral approach to linear exact modeling
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