The Bezoutian and the algebraic Riccati equation

DOI10.1080/03081088408817595zbMath0571.15007OpenAlexW2092822443MaRDI QIDQ3688504

Kevin F. Clancey, B. A. Kon

Publication date: 1984

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088408817595

zbMATH Keywords

polynomial matricesRiccati equationsHankel matricesSylvester resultant matrixBezoutian operatorstensor matrix multiplication

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Control/observation systems governed by ordinary differential equations (93C15) Multilinear algebra, tensor calculus (15A69)

Related Items (11)

The kernel of the bezoutian for operator Polynomials^∗ ⋮ Generalized Bezoutian and the inversion problem for block matrices, I. General scheme ⋮ Bezout operators for analytic operator functions. I: A general concept of Bezout operator ⋮ On inversion of hermitian block toeplitz matrices ⋮ Generalized Bézoutian and matrix equations ⋮ Inertia theorems for matrix polynomials ⋮ Bézoutians of rational matrix functions, matrix equations and factorizations ⋮ Schur complements of Bézoutians and the inversion of block Hankel and block Toeplitz matrices ⋮ Spectrum separation and inertia for operator polynomials ⋮ Common eigenvalues, divisors, and multiples of matrix polynomials: A review ⋮ Symmetric factorizations and localization of zeroes of rational matrix functions

Cites Work

• Operational Bezoutiant in the theory of separation of roots of entire functions
• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors
• Problems of control and information theory (Hungary)
• Unnamed Item

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