Details:
Title  Determining singular solutions of polynomial systems via symbolic–numeric reduction to geometric involutive forms  Author(s)  Xiaoli Wu, Lihong Zhi  Type  Article in Journal  Abstract  We present a method based on symbolic–numeric reduction to geometric involutive form to compute the primary component of and a basis of Max Noether space for a polynomial system at an isolated singular solution. The singular solution can be known exactly or approximately. For the case where the singular solution is known with limited accuracy, we then propose a generalized quadratic Newton iteration for refining it to high accuracy.  Keywords  Isolated singular solution, Multiplicity structure, Root refinement, Quadratic convergence  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717111001672 
Language  English  Journal  Journal of Symbolic Computation  Volume  47  Number  3  Pages  227  238  Year  2012  Edition  0  Translation 
No  Refereed 
No 
