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arXiv · 1905.07035

Computing symmetric determinantal representations

Justin Chen·Papri Dey
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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.

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Justin Chen, Papri Dey. 2019-05-16. Computing symmetric determinantal representations. https://doi.org/10.2140/jsag.2020.10.9

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