Bezoutian and Schur-Cohn problem for operator polynomials

DOI10.1016/0022-247X(84)90159-8zbMath0567.47016MaRDI QIDQ1059828

Leiba Rodman, Miron Tismenetsky, Leonid Lerer

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

inertiaBezoutianSchur-Cohn problemoperator polynomialsgeneralized Bezout operatorgeometric dichotomy problem for difference equations with operator coefficients

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

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Generalized Bezoutian and the inversion problem for block matrices, I. General scheme, Birkhoff-James \(\varepsilon\)-orthogonality sets of vectors and vector-valued polynomials, The theory of V-Bézoutians and its applications, Bezout operators for analytic operator functions. I: A general concept of Bezout operator, Matrix representations of Bezoutians, Generalized Bézoutian and matrix equations, On a class of entire matrix function equations, Bezout equation, Vandermonde operators, and common multiples for operator polynomials, Inertia theorems for matrix polynomials, Unnamed Item, Bézoutians of rational matrix functions, matrix equations and factorizations, Stability and inertia, Spectrum separation and inertia for operator polynomials, Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett type formulas, Common eigenvalues, divisors, and multiples of matrix polynomials: A review, How to count zeroes of polynomials on quadrature domains using the Bezout matrix, Symmetric factorizations and localization of zeroes of rational matrix functions, Determinantal Representations of Stable Polynomials

Cites Work

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