English

Inflation of poorly conditioned zeros of systems of analytic functions

Numerical Analysis 2020-10-28 v2 Numerical Analysis Algebraic Geometry

Abstract

Given a system of analytic functions and an approximate zero, we introduce inflation to transform this system into one with a regular quadratic zero. This leads to a method for isolating a cluster of zeros of the given system.

Keywords

Cite

@article{arxiv.2009.05810,
  title  = {Inflation of poorly conditioned zeros of systems of analytic functions},
  author = {Michael Burr and Anton Leykin},
  journal= {arXiv preprint arXiv:2009.05810},
  year   = {2020}
}

Comments

9 pages, 1 figure