Symbolic-Numeric Methods

This chapter contains an introduction to symbolic-numeric methods to solve systems of polynomial equations.

• Lecture 1: Introduction
  • Problem Statement
  • Inverse Kinematics
  • Newton’s Method
  • The Theorem of Bézout
  • Software for Algebraic Geometry
  • Bibliography
  • Exercises
• Lecture 2: Elimination Methods
  • Projective Coordinates
  • Molecular Configurations
  • Resultants
  • Cascading Resultants to Compute Discriminants
  • The Main Theorem of Elimination Theory
  • Bibliography
  • Exercises