Minimal Square Spectral Factors via Triples

DOI10.1137/S0895479899357619zbMath0994.47022OpenAlexW2016046626MaRDI QIDQ2719195

André C. M. Ran, Mark Adam Petersen

Publication date: 21 June 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479899357619

zbMATH Keywords

spectral factorizationinvariant subspacesminimal factorizationnull-pole triplesrational matrix function taking positive semidefinite valuessquare minimal spectral factors

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 (6)

Non-linear minimal square spectral factorization ⋮ Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges ⋮ Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions. ⋮ Minimal representations of continuous-time processes having spectral density with zeros in the extended imaginary axis ⋮ Minimal nonsquare spectral factors ⋮ Nonsquare spectral factors via factorizations of a unitary function

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