Real solutions to systems of polynomial equations in Macaulay2
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909216110804992 |
|---|---|
| author | Garcia, Jordy Lopez Maluccio, Kelly Sottile, Frank Yahl, Thomas |
| author_facet | Garcia, Jordy Lopez Maluccio, Kelly Sottile, Frank Yahl, Thomas |
| contents | The Macaulay2 package RealRoots provides symbolic methods to study real solutions to systems of polynomial equations. It updates and expands an earlier package developed by Grayson and Sottile in 1999. We provide mathematical background and descriptions of the RealRoots package, giving examples which illustrate some of its implemented methods. We also prove a general version of Sylvester's Theorem whose statement and proof we could not find in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05576 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Real solutions to systems of polynomial equations in Macaulay2 Garcia, Jordy Lopez Maluccio, Kelly Sottile, Frank Yahl, Thomas Algebraic Geometry 14Q30 The Macaulay2 package RealRoots provides symbolic methods to study real solutions to systems of polynomial equations. It updates and expands an earlier package developed by Grayson and Sottile in 1999. We provide mathematical background and descriptions of the RealRoots package, giving examples which illustrate some of its implemented methods. We also prove a general version of Sylvester's Theorem whose statement and proof we could not find in the literature. |
| title | Real solutions to systems of polynomial equations in Macaulay2 |
| topic | Algebraic Geometry 14Q30 |
| url | https://arxiv.org/abs/2208.05576 |