Isolating clusters of zeros of analytic systems using arbitrary-degree inflation
Algebraic Geometry
2023-02-10 v1 Symbolic Computation
Abstract
Given a system of analytic functions and an approximation to a cluster of zeros, we wish to construct two regions containing the cluster and no other zeros of the system. The smaller region tightly contains the cluster while the larger region separates it from the other zeros of the system. We achieve this using the method of inflation which, counterintuitively, relates it to another system that is more amenable to our task but whose associated cluster of zeros is larger.
Keywords
Cite
@article{arxiv.2302.04776,
title = {Isolating clusters of zeros of analytic systems using arbitrary-degree inflation},
author = {Michael Burr and Kisun Lee and Anton Leykin},
journal= {arXiv preprint arXiv:2302.04776},
year = {2023}
}
Comments
12 pages, 1 figure