Stable factorizations of monic matrix polynomials and stable invariant subspaces

DOI10.1007/BF01682938zbMath0398.47011OpenAlexW2033634464WikidataQ114233936 ScholiaQ114233936MaRDI QIDQ1254522

Israel Gohberg, Harm Bart, Marinus A. Kaashoek

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01682938

zbMATH Keywords

Riccati EquationMonic Matrix PolynomialStable FactorizationsStable Invariant Subspaces

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Matrices over function rings in one or more variables (15A54)

Related Items

Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations, The rate of convergence of real invariant subspaces, Transfer functions and operator theory, Stability index of invariant subspaced of matrices, Weak stability of factorizations of operator pencils, Stability of invariant subspaces of quaternion matrices, Continuity properties of Hyperlat and reducing subspaces, Analytic operator functions with compact spectrum. II. Spectral pairs and factorization, Stability of invariant maximal semidefinite subspaces. I, Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices, On stable invariant subspaces, Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations, A nonlinear characterization of stable invariant subspaces, Strong Stability of Invariant Subspaces of Quaternion Matrices, On the distance between lattices of invariant subspaces of matrices

Cites Work

• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Operator polynomials as inverses of characteristic functions
• Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors
• Perturbation Theory for Divisors of Operator Polynomials
• Factorizations of Transfer Functions
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