Sylvester matrix

Known as: Sylvester matrix (resultant matrix) 
In mathematics, a Sylvester matrix is a matrix associated to two univariate polynomials with coefficients in a field or a commutative ring. The… (More)
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Topic mentions per year

Topic mentions per year

1973-2018
0102019732018

Papers overview

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2015
2015
The Sylvester equation arises in many application areas, for instance process and system control, and in the fuzzy setting… (More)
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2014
2014
This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficient… (More)
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Highly Cited
2008
Highly Cited
2008
In this paper, by extending the well-known Jacobi and Gauss–Seidel iterations for Ax = b, we study iterative solutions of matrix… (More)
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2008
2008
An explicit solution to the generalized Sylvester matrix equation AX+BY= EXF is established. This solution is expressed in terms… (More)
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2006
2006
The task of determining the approximate greatest common divisor (GCD) of univariate polynomials with inexact coefficients can be… (More)
  • table 1
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2006
2006
In the present paper, we propose an Arnoldi-based method for solving large and sparse Sylvester matrix equations with low rank… (More)
  • table 2
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2006
2006
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a… (More)
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Highly Cited
2005
Highly Cited
2005
In this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobi… (More)
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2002
2002
We consider an analytic perturbation of the Sylvester matrix equation. We are mainly interested in the singular case, that is… (More)
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Highly Cited
1992
Highly Cited
1992
A software package has been developed to solve efficiently the Sylvester-type matrix equation <italic>AXB<supscrpt>T</supscrpt… (More)
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