research
∙
10/10/2022
Solving polynomial equations and applications
These notes accompany an introductory lecture given by the author at the...
share
research
∙
05/24/2022
Contour Integration for Eigenvector Nonlinearities
Solving polynomial eigenvalue problems with eigenvector nonlinearities (...
research
∙
04/13/2022
Bayesian Integrals on Toric Varieties
We explore the positive geometry of statistical models in the setting of...
research
∙
02/03/2022
Toric Geometry of Entropic Regularization
Entropic regularization is a method for large-scale linear programming. ...
research
∙
05/18/2021
Yet another eigenvalue algorithm for solving polynomial systems
In latest years, several advancements have been made in symbolic-numeric...
research
∙
03/12/2021
Normal Forms for Tensor Rank Decomposition
We propose a new algorithm for computing the tensor rank decomposition o...
research
∙
12/09/2020
Likelihood Equations and Scattering Amplitudes
We relate scattering amplitudes in particle physics to maximum likelihoo...
research
∙
06/18/2020
Toric Eigenvalue Methods for Solving Sparse Polynomial Systems
We consider the problem of computing homogeneous coordinates of points i...
research
∙
03/21/2020
Backward Error Measures for Roots of Polynomials
We analyze different measures for the backward error of a set of numeric...
research
∙
02/21/2020
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers
We consider the problem of tracking one solution path defined by a polyn...
research
∙
09/11/2019
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation
We propose a new algorithm for numerical path tracking in polynomial hom...
research
∙
03/21/2018
Truncated Normal Forms for Solving Polynomial Systems: Generalized and Efficient Algorithms
We consider the problem of finding the isolated common roots of a set of...
research
∙
03/21/2018
Solving Polynomial Systems Efficiently and Accurately
We consider the problem of finding the isolated common roots of a set of...
research
∙
03/21/2018
Solving Polynomial System Efficiently and Accurately
We consider the problem of finding the isolated common roots of a set of...
research
∙
08/25/2017