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A Note on the Bezoutian Matrix
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1016/0024-3795(70)90023-6openalex-snapshot
Greatest common divisor of two polynomials
inferredcites →https://doi.org/10.1016/0024-3795(71)90028-0openalex-snapshot
Location of zeros of a complex polynomial
inferredcites →https://doi.org/10.1017/s0305004100049860openalex-snapshot
Greatest common divisor of several polynomials
inferredcites →https://doi.org/10.1049/el:19700116openalex-snapshot
Number of zeros of a complex polynomial inside the unit circle
inferredcites →https://doi.org/10.1080/00029890.1950.11999508openalex-snapshot
Some Applications of Matrices in the Theory of Equations
inferredcites →https://doi.org/10.1137/1012003openalex-snapshot
Bezoutiants, Elimination and Localization
inferredcites →https://doi.org/10.2307/2304420openalex-snapshot
Some Applications of Matrics in the Theory of Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Bezoutiante, Resultante und Spektralverteilungsprobleme für Operatorpolynome
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Functional Models and Shift Spaces
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A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials
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Tensored Polynomial Models
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Structured Matrix Based Methods for Approximate Polynomial GCD
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Bezout operators for analytic operator functions, I. A general concept of Bezout operator
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On the effective computation of the inertia of a non-hermitian matrix
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The Bezoutian and the eigenvalue-separation problem for matrix polynomials
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Polynomial models and algebraic stability criteria
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A heuristic verification of the degree of the approximate GCD of two univariate polynomials
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Structured Low Rank Approximation of a Bezout Matrix
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Inners and Schur complement
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An elementary proof of the stability criterion of Liénard and Chipart
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On symmetric rational transfer functions
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Explicit expressions for Bezoutians
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Lyapunov, Bézout, and Hankel
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Hankel matrices generated by the Markov parameters of rational functions
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Hankel matrices and the infinite companion
inferred← citeshttps://doi.org/10.1016/0024-3795(86)90312-5openalex-snapshot
Common eigenvalues, divisors, and multiples of matrix polynomials: A review
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Unobservable subspaces and common roots of several polynomials
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The matrix equation XA=ATX and an associated algorithm for solving the inertia and stability problems
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Generalized Bezoutian and matrix equations
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Bézout, Hankel, and Loewner matrices
inferred← citeshttps://doi.org/10.1016/0024-3795(94)90501-0openalex-snapshot
Group and Moore-Penrose invertability of Bezoutians
inferred← citeshttps://doi.org/10.1016/0024-3795(95)00048-vopenalex-snapshot
Matrix representations of Bezoutians
inferred← citeshttps://doi.org/10.1016/j.amc.2012.07.028openalex-snapshot
On the Bezoutian matrix for Chebyshev polynomials
inferred← citeshttps://doi.org/10.1016/j.laa.2004.08.024openalex-snapshot
An efficient resultant for determining reciprocal zeros in polynomials
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Generalized polynomial Bezoutian with respect to a Jacobson chain basis over an arbitrary field
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Sturm and Sylvester algorithms revisited via tridiagonal determinantal representations
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Polynomial Bezoutian matrix with respect to a general basis
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Euclidean Remainders and the Routh Array from an Observability Matrix
inferred← citeshttps://doi.org/10.1080/00029890.2024.2439819openalex-snapshot
Reciprocity via Reciprocants
inferred← citeshttps://doi.org/10.1080/00207177408932665openalex-snapshot
Some topics in algebraic systems theory: a survey
inferred← citeshttps://doi.org/10.1080/00207178308933081openalex-snapshot
Some extensions and modifications of classical stability tests for polynomials
inferred← citeshttps://doi.org/10.1080/03081088008817350openalex-snapshot
Matrix equation, matrix polynomial and the number of zeros of a polynomial inside the unit circle
inferred← citeshttps://doi.org/10.1080/03081088008817356openalex-snapshot
Problems of control and information theory (Hungary)
inferred← citeshttps://doi.org/10.1080/03081088808817876openalex-snapshot
A factorization of the generalized bezoutian of polynomial matrices
inferred← citeshttps://doi.org/10.1080/03081089008817991openalex-snapshot
A generalized bezoutian matrix
inferred← citeshttps://doi.org/10.1080/03081089708818509openalex-snapshot
Hankel matrices and quadratic forms
inferred← citeshttps://doi.org/10.1109/iccv.2011.6126245openalex-snapshot
A theory of Coprime Blurred Pairs
inferred← citeshttps://doi.org/10.1109/proc.1975.9880openalex-snapshot
The theory and applications of the inners
inferred← citeshttps://doi.org/10.1109/tac.1972.1099906openalex-snapshot
Comments on "Inners approach to some problems of system theory"
inferred← citeshttps://doi.org/10.1109/tac.1973.1100216openalex-snapshot
Matrices, polynomials, and linear time-variant systems
inferred← citeshttps://doi.org/10.1109/tac.1980.1102391openalex-snapshot
Analysis of the Lyapunov equation using generalized positive real matrices
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A Generalized Bezoutian Matrix With Respect to a Polynomial Sequence of Interpolatory Type
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A Coprime Blur Scheme for Data Security in Video Surveillance
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On computing nearest singular hankel matrices
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Systems of three polynomials with two separated variables
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Blind image deconvolution via fast approximate GCD
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More on polynomial Bezoutians with respect to a general basis
inferred← citeshttps://doi.org/10.4134/bkms.2016.53.2.373openalex-snapshot
ON DIFFERENCE QUOTIENTS OF CHEBYSHEV POLYNOMIALS
inferred← citeshttps://doi.org/10.48550/arxiv.1807.11088openalex-snapshot
Solving square polynomial systems : a practical method using Bezout matrices
inferred← citeshttps://doi.org/10.5539/jmr.v7n2p34openalex-snapshot
The Cyclic Groups via Bezout Matrices
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