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…

Papers overview

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2012

2012

This paper shows how the theory of recurrence related polynomials is connected to the construction of covariance displacement…

2008

In the present paper Bezoutian-type formulas for the inverses of Toeplitz-plus-Hankel (T+H) matrices are presented which involve…

2006

A simple algorithm for finding the implicit equation of a parametric plane curve given by its parametric equations is presented…

2006

A new algorithm is proposed for computing the intersection of two plane curves given in rational parametric form. It relies on…

2005

We devise a fast fraction‐free algorithm for the computation of the triangular factorization of Bernstein–Bezoutian matrices with…

2005

Abstract.We prove a quadratic expression for the Bezoutian of two univariate polynomials in terms of the remainders for the…

1996

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…

1980

Let f(x) and g(x) be two polynomials of degree n. Then it is well-known that the Bezoutian matrix Bfg associated with f(x) and g…

1977

Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving…