Similarity of operator blocks and canonical forms. I. General results, feedback equivalence and Kronecker indices
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Publication:1144096
DOI10.1007/BF01701498zbMath0443.15005OpenAlexW2013843035MaRDI QIDQ1144096
F. van Schagen, Marinus A. Kaashoek, Israel Gohberg
Publication date: 1980
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01701498
Eigenvalues, singular values, and eigenvectors (15A18) Algebraic methods (93B25) Structure theory of linear operators (47A65) Canonical forms, reductions, classification (15A21)
Related Items
Feedback invariants of pairs of matrices and restrictions, Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces, Rational contractive and unitary interpolants in realized form, Operator blocks and quadruples of subspaces: Classification and the eigenvalue completion problem, Eigenvalues of completions of submatrices, On the geometry of the generalized partial realization problem, Similarity of non-everywhere defined linear maps, The cascade decompositions of a given system vs the linear fractional decompositions of its transfer function, The cascade decompositions of a given system vs the linear fractional decompositions of its transfer function, Rational matrix and operator functions with prescribed singularities, Global reduction to the Kronecker canonical form of a \(C^r\)-family of time-invariant linear systems, Invariants of the block tensor product
Cites Work
- Stable factorization of operator polynomials. I: Spectral divisors simply behaved at infinity
- Factorization indices at infinity for rational matrix functions
- Structural invariants of linear multivariable systems
- Invariant Description of Linear, Time-Invariant Controllable Systems
- Structural Invariants of Linear Multivariable Systems
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