Computing symmetric determinantal representations. 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.
Keywords for this software
References in zbMATH (referenced in 2 articles , 1 standard article )
Showing results 1 to 2 of 2.
- Chen, Justin; Dey, Papri: Computing symmetric determinantal representations (2020)
- Dey, Papri; Plaumann, Daniel: Testing hyperbolicity of real polynomials (2020)