Symmetric spectral factorisation of self-adjoint rational matrix functions

DOI10.1017/S000497270003077XzbMath0894.47015OpenAlexW1967683185MaRDI QIDQ4363847

G. J. Groenwald, Mark Adam Petersen

Publication date: 15 December 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003077x

zbMATH Keywords

spectral factorright symmetric spectral factorizationselfadjoint rational matrix function

Mathematics Subject Classification ID

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) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• Factorization of matrix functions and singular integral operators
• Classes of linear operators. Vol. II
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• Optimal Hankel Norm Model Reductions and Wiener–Hopf Factorization I: The Canonical Case
• A Spectral Factorization Approach to the Distributed Stable Regular Problem; the Algebraic Riccati Equation

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