A Note on the Bezoutian Matrix

DOI10.1137/0122009zbMath0245.15011OpenAlexW2041532189MaRDI QIDQ5656886

No author found.

Publication date: 1972

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0122009

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over commutative rings (13B25)

Related Items

Hankel matrices and the infinite companion, Bézout, Hankel, and Loewner matrices, Bezout operators for analytic operator functions. I: A general concept of Bezout operator, Matrix representations of Bezoutians, The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems, Generalized Bézoutian and matrix equations, On Bézoutian reduction with the Vandermonde matrix, A generalized bezoutian matrix, A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials, Congenial matrices, A heuristic verification of the degree of the approximate GCD of two univariate polynomials, On the Bézoutian matrix for Chebyshev polynomials, A factorization of the generalized bezoutian of polynomial matrices, Stability and inertia, Hankel matrices and quadratic forms, Generalized polynomial Bézoutian with respect to a Jacobson chain basis over an arbitrary field, Some extensions and modifications of classical stability tests for polynomials, Polynomial Bézoutian matrix with respect to a general basis, Common eigenvalues, divisors, and multiples of matrix polynomials: A review, Inners and Schur complement, On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem, On the effective computation of the inertia of a non-hermitian matrix, An elementary proof of the stability criterion of Lienard and Chipart, The Bezoutian and the eigenvalue-separation problem for matrix polynomials, Tensored polynomial models, Problems of control and information theory (Hungary), Matrix equation, matrix polynomial and the number of zeros of a polynomial inside the unit circle, Matrix equation, matrix polynomial and the number of zeros of a polynomial inside the unit circle, An efficient resultant for determining reciprocal zeros in polynomials, On symmetric rational transfer functions, Lyapunov, Bézout, and Hankel, Some topics in algebraic systems theory: a survey†, Hankel matrices generated by the Markov parameters of rational functions, Group and Moore-Penrose invertibility of Bézoutians