Nov 6 – 8, 2019
MPI Magdeburg
Europe/Berlin timezone

Matrices and tensors for polynomial rootfinding

Nov 6, 2019, 4:25 PM
Prigogine (MPI Magdeburg)


MPI Magdeburg

MPI for Dynamics of Complex Technical Systems Sandtorstr. 1 39106 Magdeburg
Talk Talks Day I


Patrick Kürschner (KU Leuven, ESAT/STADIUS & Campus Kulak Kortrijk)


We discuss the problem of computing roots of systems of multivariate polynomials by approaches from numerical linear and multilinear algebra.The key concept in our approach is the Macaulay matrix, a large and highly structured matrix that contains the coefficients of the polynomials systems. The roots can be retrieved from the nullspace of this matrix. We then show how this root retrieval can be carried out using tensors and, in particular, tensor decompositions.

Primary author

Patrick Kürschner (KU Leuven, ESAT/STADIUS & Campus Kulak Kortrijk)


Lieven De Lathauwer (KU Leuven, ESAT/STADIUS)

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