\(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials

DOI10.1007/BF01191478zbMath0896.47015OpenAlexW2329775512WikidataQ114234035 ScholiaQ114234035MaRDI QIDQ1378104

Leonid Lerer, André C. M. Ran

Publication date: 6 October 1998

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

Full work available at URL: https://doi.org/10.1007/bf01191478

zbMATH Keywords

factorization problemsrational matrix functions\(J\)-inner-pseudo-outer factorizationcomonic polynomialgeneral inverse spectral problemselfadjoint invertible matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on spaces with an indefinite metric (47B50)

Related Items

Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions, Bézoutians of rational matrix functions, matrix equations and factorizations, Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions

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