On the Computation of Matrices of Traces and Radicals of Ideals (2009)
Janovitz-Freireich, Itnuit, Mourrain, Bernard, Ronayi, Lajos, Szanto, Agnes
Let $f_1,...,f_s \in \mathbb{K}[x_1,...,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. We study the...
Moment matrices, trace matrices and the radical of ideals (2008)
Janovitz-Freireich, Itnuit, Szanto, Agnes, Mourrain, Bernard, Ronyai, Lajos
Let $f_1,...,f_s \in \mathbb{K}[x_1,...,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. Assume that the...
URL:www.apmaths.uwo.ca/˜djeffrey (2008)
John Michael Mcnamee, Martine Ceberio, Vladik Kreinovich, Agnes Szanto, Richard Dimick Jenks, Bob Caviness, ...
Call for nominations: The Richard D. Jenks Prize
A Bound for Orders in Differential Nullstellensatz (2008)
Golubitsky, Oleg, Kondratieva, Marina, Ovchinnikov, Alexey, Szanto, Agnes
We give the first known bound for orders of differentiations in differential Nullstellensatz for both partial and ordinary algebraic differential equations. This problem was previously addressed by...
Moment matrices, trace matrices and the radical of ideals (2008)
Janovitz-Freireich, Inuit, Szanto, Agnes, Mourrain, Bernard, Ronyai, Lajos
Let $f_1,\ldots,f_s \in \mathbb{K}[x_1,\ldots,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. Assume that the...
Moment matrices, trace matrices and the radical of ideals (2008)
Janovitz-Freireich, Inuit, Szanto, Agnes, Mourrain, Bernard, Ronyai, Lajos
Let $f_1,\ldots,f_s \in \mathbb{K}[x_1,\ldots,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. Assume that the...
On the Computation of Matrices of Traces and Radicals of Ideals (2008)
Janovitz-Freireich, Itnuit, Mourrain, Bernard, Ronayi, Lajos, Szanto, Agnes
Let $f_1,\ldots,f_s \in \mathbb{K}[x_1,\ldots,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. We study the...
On the Computation of Matrices of Traces and Radicals of Ideals (2008)
Janovitz-Freireich, Itnuit, Mourrain, Bernard, Ronayi, Lajos, Szanto, Agnes
Let $f_1,\ldots,f_s \in \mathbb{K}[x_1,\ldots,x_m]$ be a system of polynomials generating a zero-dimensional ideal $\I$, where $\mathbb{K}$ is an arbitrary algebraically closed field. We study the...
Approximate radical for clusters: a global approach using Gaussian elimination or SVD (2007)
Janovitz-Freireich, Itnuit, Ronyai, Lajos, Szanto, Agnes
We present a method based on Dickson's lemma to compute the "approximate radical" of a zero dimensional ideal I in C[x1, . . ., xm] which has zero clusters: the approximate radical ideal has exactly...
Sylvester's Double Sums: the general case (2007)
D'Andrea, Carlos, Hong, Hoon, Krick, Teresa, Szanto, Agnes
In 1853 Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subresultants of the...
An Elementary Proof of Sylvester's Double Sums for Subresultants (2006)
D'Andrea, Carlos, Hong, Hoon, Krick, Teresa, Szanto, Agnes
In 1853 Sylvester stated and proved an elegant formula that expresses the polynomial subresultants in terms of the roots of the input polynomials. Sylvester's formula was also recently proved by...
Multivariate Subresultants in Roots (2005)
D'Andrea, Carlos, Krick, Teresa, Szanto, Agnes
We give rational expressions for the subresultants of n+1 generic polynomials f_1,..., f_{n+1} in n variables as a function of the coordinates of the common roots of f_1,..., f_n and their evaluation...
Over-constrained Weierstrass iteration and the nearest consistent system (2004)
Ruatta, Olivier, Sciabica, Mark, Szanto, Agnes
We propose a generalization of the Weierstrass iteration for over-constrained systems of equations and we prove that the proposed method allows us to find the nearest system which has at least $k$...
Over-constrained Weierstrass iteration and the nearest consistent system (2004)
Ruatta, Olivier, Sciabica, Mark, Szanto, Agnes
We propose a generalization of the Weierstrass iteration for over-constrained systems of equations and we prove that the proposed method allows us to find the nearest system which has at least $k$...
Over-constrained Weierstrass iteration and the nearest consistent system (2004)
Ruatta, Olivier, Sciabica, Mark, Szanto, Agnes
We propose a generalization of the Weierstrass iteration for over-constrained systems of equations and we prove that the proposed method allows us to find the nearest system which has at least $k$...