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Bézout matrix

Known as: Bezout matrix, Bezoutian matrix, Bezoutian 
In mathematics, a Bézout matrix (or Bézoutian or Bezoutiant) is a special square matrix associated with two polynomials, introduced by Sylvester… 
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Related topics

Related topics

5 relations
Control theoryPolynomialResultantStable polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Calculs du symbole de kronecker dans le tore
Soit k un corps algebriquement clos de caracteristique 0 et F une suite de n polynomes en intersection complete sur k[X1,...,Xn… 
2012
2012
On the Bezoutian matrix for Chebyshev polynomials
2012
2012
A unified approach to structured covariances: Polynomial Vandermonde Bezoutian representations
This paper shows how the theory of recurrence related polynomials is connected to the construction of covariance displacement… 
2008
2008
Toeplitz-plus-Hankel Bezoutians and inverses of Toeplitz and Toeplitz-plus-Hankel matrices
In the present paper Bezoutian-type formulas for the inverses of Toeplitz-plus-Hankel (T+H) matrices are presented which involve… 
2006
2006
Implicitization of Parametric Curves via Lagrange Interpolation
A simple algorithm for finding the implicit equation of a parametric plane curve given by its parametric equations is presented… 
2006
2006
Computing curve intersection by means of simultaneous iterations
A new algorithm is proposed for computing the intersection of two plane curves given in rational parametric form. It relies on… 
2005
2005
Structured matrix methods for CAGD: an application to computing the resultant of polynomials in the Bernstein basis
We devise a fast fraction‐free algorithm for the computation of the triangular factorization of Bernstein–Bezoutian matrices with… 
1996
1996
Greatest common divisors of polynomials
If K is a field, then K[x] is a Euclidean domain, so gcd(f, g) for f, g ∈ K[x] can be computed by the Euclidean algorithm. Often… 
Review
1984
Review
1984
Self-tuning control of nonminimum-phase systems
  • D. Clarke
  • at - Automatisierungstechnik
  • 1984
  • Corpus ID: 2236481
1977
1977
Matrix fraction description of the lossless positive real property
Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving… 
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