Regeneration homotopies for solving systems of polynomials

We present a new technique, based on polynomial continuation, for solving systems of n polynomials in N complex variables. The method allows equations to be introduced one-by-one or in groups, obtaining at each stage a representation of the solution set that can be extended to the next stage until finally obtaining the solution set for the entire system. At any stage where positive dimensional solution components must be found, they

• Type: Journal
• Year: 2011
• Where: MOC
• Authors: Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
• Keywords: Dimensional Solution Components, Intelligent Agents, MOC 2011, Polynomials, Solution