Real solutions to systems of polynomial equations in Macaulay2 Institutional Repository Document uri icon

abstract

  • 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.

author list (cited authors)

  • Garcia, J. L., Maluccio, K., Sottile, F., & Yahl, T.

citation count

  • 0

complete list of authors

  • Garcia, Jordy Lopez||Maluccio, Kelly||Sottile, Frank||Yahl, Thomas

Book Title

  • arXiv

publication date

  • August 2022