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Bézout matrix
Known as:
Bezout matrix
, Bezoutian matrix
, Bezoutian
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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 theory
Polynomial
Resultant
Stable polynomial
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Papers overview
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2014
2014
On Connections between the Cauchy Index, the Sylvester Matrix, Continued Fraction Expansions, and Circuit Synthesis
Timothy H. Hughes
2014
Corpus ID: 56253367
This work was supported by the Engineering and Physical Sciences Research Council under Grant EP/G066477/1.
2010
2010
On the bilinear structure associated to the skew Bezoutian
F. Jouve
,
F. Rodriguez-Villegas
2010
Corpus ID: 119636725
2008
2008
Continuation of root functionals of a system of polynomial equations and the reduction of polynomials modulo its ideal
T. R. Seifullin
2008
Corpus ID: 115167185
The notion of a root functional of polynomials is a generalization of the notion of a root for a multiple root. A root functional…
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2008
2008
Toeplitz-plus-Hankel Bezoutians and inverses of Toeplitz and Toeplitz-plus-Hankel matrices
K. Rost
2008
Corpus ID: 124602743
In the present paper Bezoutian-type formulas for the inverses of Toeplitz-plus-Hankel (T+H) matrices are presented which involve…
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2000
2000
A Fast Method to Compute the Inertia of Bezout Matrix and Its Application
Feng-Juan Qin
2000
Corpus ID: 124615815
In this paper, we present a fast and fraction free procedure for computing the inertia of Bezout matrix and we can determine the…
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2000
2000
J ul 2 00 0 EXPLICIT FORMULAS FOR THE MULTIVARIATE RESULTANT
Carlos D'Andrea
,
A. Dickenstein
2000
Corpus ID: 15135952
We present formulas for the multivariate resultant as a quotient of two determinants. They extend the classical Macaulay formulas…
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1999
1999
Transformations and Transitions from the Sylvester to the Bezout Resultant
E. Chionh
,
R. Goldman
,
Ming Zhang
1999
Corpus ID: 125822883
A simple matrix transformation linking the resultant matrices of Sylvester and Bezout is derived. This transformation matrix is…
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1996
1996
Polynomial System Solving: the Case of a Six-Atom Molecule
I. Emiris
,
B. Mourrain
1996
Corpus ID: 17659363
A relatively new branch of computational biology and chemistry has been emerging as an effort to apply successful paradigms and…
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1980
1980
Controllability, Bezoutian and relative primeness
B. Datta
1980
Corpus ID: 120223967
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…
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1977
1977
Matrix fraction description of the lossless positive real property
R. Bitmead
,
B. Anderson
1977
Corpus ID: 37154119
Suppose a matrix fraction description of a real rational square transfer function matrix is known. A condition is given involving…
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