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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...
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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...
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08/09/2022
Homotopy techniques for analytic combinatorics in several variables
We combine tools from homotopy continuation solvers with the methods of ...
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08/02/2022
The NumericalCertification package in Macaulay2
The package implements methods for certifying numerical approximations ...
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07/12/2022
Implementing real polyhedral homotopy
We implement a real polyhedral homotopy method using three functions. Th...
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09/14/2019
Typical ranks in symmetric matrix completion
We study the problem of low-rank matrix completion for symmetric matrice...
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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...
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09/28/2016