Minimal nonsquare \(J\)-spectral factorization, generalized Bezoutians and common zeros for rational matrix functions

DOI10.1007/s00020-002-1159-yzbMath1059.47013OpenAlexW2043297372MaRDI QIDQ1409586

André C. M. Ran, Mark Adam Petersen

Publication date: 16 October 2003

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

Full work available at URL: https://doi.org/10.1007/s00020-002-1159-y

zbMATH Keywords

\(J\)-spectral factorizationalgebraic Riccati equationscommon zerosBezoutians

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)

Related Items (2)

Necessary and sufficient conditions for existence of \(J\)-spectral factorization for para-Hermitian rational matrix functions ⋮ Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions.

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