Computing symmetric determinantal representations
Algebraic Geometry
2020-02-12 v1 Symbolic Computation
Abstract
We introduce the DeterminantalRepresentations package for Macaulay2, which computes definite symmetric determinantal representations of real polynomials. We focus on quadrics and plane curves of low degree (i.e. cubics and quartics). Our algorithms are geared towards speed and robustness, employing linear algebra and numerical algebraic geometry, without genericity assumptions on the polynomials.
Cite
@article{arxiv.1905.07035,
title = {Computing symmetric determinantal representations},
author = {Justin Chen and Papri Dey},
journal= {arXiv preprint arXiv:1905.07035},
year = {2020}
}
Comments
Code available at https://github.com/papridey/DeterminantalRepresentations