AM 511b Notes

Robert M. Corless

Feb 28, 1996

• Announcements
• Polynomials
• Polynomial Algebra and Roots of Polynomials
  • Resultants and Discriminants.
  • The GCD
• Roots of Polynomials and `RootOf'.
  • `RootOf' versus Radicals.
• Stability of Polynomials and the Hurwitz Criterion.
  • Mathematical Background.
  • Source Code for Hurwitz
  • Help File for Hurwitz
  • Test file for Hurwitz.
  • The Problem of Specialization.
  • A Bifurcation Problem.
  • Final Remarks on Univariate Problems.
• Solution of Polynomial Systems
  • Gröbner Bases
  • Resultants
• References
• About this document ...