research
∙
05/18/2023
Two-step Newton's method for deflation-one singular zeros of analytic systems
We propose a two-step Newton's method for refining an approximation of a...
share
research
∙
02/09/2023
Isolating clusters of zeros of analytic systems using arbitrary-degree inflation
Given a system of analytic functions and an approximation to a cluster o...
research
∙
08/09/2022
Homotopy techniques for analytic combinatorics in several variables
We combine tools from homotopy continuation solvers with the methods of ...
research
∙
08/02/2022
The NumericalCertification package in Macaulay2
The package implements methods for certifying numerical approximations ...
research
∙
07/12/2022
Implementing real polyhedral homotopy
We implement a real polyhedral homotopy method using three functions. Th...
research
∙
09/14/2019
Typical ranks in symmetric matrix completion
We study the problem of low-rank matrix completion for symmetric matrice...
research
∙
01/24/2019
Effective certification of approximate solutions to systems of equations involving analytic functions
We develop algorithms for certifying an approximation to a nonsingular s...
research
∙
09/28/2016
