[PDF] The Numerical Solution of Systems of Polynomials: Arising in Engineering and Science Andrew John Sommese, Charles W. Wampler II

Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebra-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980’s to the most recent research on positive dimensional sets.