Factorization of a rational matrix: The singular case

DOI10.1007/BF01195921zbMath0553.47010MaRDI QIDQ802123

Paul Van Dooren

Publication date: 1984

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

zbMATH Keywords

invariant subspacegeneralized eigenvalue problemreducing subspacedeflating subspacesminimal factorization of an arbitrary rational matrixmultiple factor casesingular pencil

Mathematics Subject Classification ID

Related Items (12)

A spectral factorization algorithm for discrete-time descriptor systems via generalized eigenproblems ⋮ Proper deflating subspaces: Properties, algorithms and applications ⋮ Squaring down with zeros cancellation in generalized systems ⋮ Transfer functions and operator theory ⋮ Polynomial systems and Kronecker invariants ⋮ An improved algorithm for the computation of structural invariants of a system pencil and related geometric aspects ⋮ On realization of left and right products of rational functions ⋮ Rational and polynomial matrix factorizations via recursive pole-zero cancellation ⋮ Generalized pseudoinverses of matrix valued functions ⋮ The continuous kernel of a nonsquare rational matrix function ⋮ Spectral factorization of rectangular rational matrix functions with application to discrete Wiener-Hopf equations ⋮ \((J,J')\)-spectral factorization and conjugation for discrete-time descriptor system

Uses Software

• HQR3
• HQR3 EXCHNG

Cites Work

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