Dear all, the next seminar will be the next week on Thursday (so _not_ tomorrow), and will be hosted at SNS. You find the abstract below.
See you there, Best, -- Leonardo.
Speaker: Michiel Hochstenbach Affiliation: TU Eindhoven Time: Thursday, 14 March 2019, h. 15:00 Place: Aula Tonelli, SNS
Title: Solving polynomial systems by determinantal representations
Zeros of a polynomial, p(x)=0, are often determined by computing the eigenvalues of a companion matrix: a matrix A which satisfies det(A-xI)=p(x). In this talk we consider polynomial systems, in particular in 2 variables: p(x,y)=0, q(x,y)=0. We look for a determinantal representation for such a bivariate polynomial: matrices A, B, C such that det(A-xB-yC)=p(x,y). This means that we can compute the zeros of the system by solving a 2-parameter eigenvalue problem. This approach, which already goes back to a theorem by Dixon in 1902, leads to fast solution methods, as well as a multitude of interesting open research questions.
This is mainly joint work with Bor Plestenjak (Ljubljana), and additionally several colleagues in algebra, among which Ada Boralevi (Torino).
Dear all, here is just a reminder that tomorrow Michiel Hochstenbach will give a seminar at SNS.
See you there! -- Leonardo.
On 3/6/19 11:34 AM, Leonardo Robol wrote:
Dear all, the next seminar will be the next week on Thursday (so _not_ tomorrow), and will be hosted at SNS. You find the abstract below.
See you there, Best, -- Leonardo.
Speaker: Michiel Hochstenbach Affiliation: TU Eindhoven Time: Thursday, 14 March 2019, h. 15:00 Place: Aula Tonelli, SNS
Title: Solving polynomial systems by determinantal representations
Zeros of a polynomial, p(x)=0, are often determined by computing the eigenvalues of a companion matrix: a matrix A which satisfies det(A-xI)=p(x). In this talk we consider polynomial systems, in particular in 2 variables: p(x,y)=0, q(x,y)=0. We look for a determinantal representation for such a bivariate polynomial: matrices A, B, C such that det(A-xB-yC)=p(x,y). This means that we can compute the zeros of the system by solving a 2-parameter eigenvalue problem. This approach, which already goes back to a theorem by Dixon in 1902, leads to fast solution methods, as well as a multitude of interesting open research questions.
This is mainly joint work with Bor Plestenjak (Ljubljana), and additionally several colleagues in algebra, among which Ada Boralevi (Torino).
-
Leonardo Robol