On multiplicities in polynomial system solving
Maria Grazia Marinari, Harald E. Möller, Teo Mora · Transactions of the American Mathematical Society · 1996
This paper deals with the description of the solutions of zero dimensional systems of polynomial equations. Based on different models for describing solutions, we consider suitable representations of a multiple root, or more precisely suitable descriptions of the primary component of the system at a root. We analyse the complexity of finding the representations and of algorithms which perform transformations between the different representations.