Details:
Title  Computing the multiplicity structure of an isolated singular solution: Case of breadth one  Author(s)  Oliver Wienand, Lihong Zhi  Type  Article in Journal  Abstract  We present an explicit algorithm to compute a closed basis of the local dual space of I = ( f 1 , … , f t ) at a given isolated singular solution x ˆ = ( x ˆ 1 , … , x ˆ s ) when the Jacobian matrix J ( x ˆ ) has corank one. The algorithm is efficient both in time and memory use. Moreover, it can be modified to compute an approximate basis if the coefficients of f_1 , … , f_t and x ˆ are only known with limited accuracy.  Keywords  Polynomial system, Isolated singular solution, Multiplicity structure, Local dual space, Corank one  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717111002203 
Language  English  Journal  Journal of Symbolic Computation  Volume  47  Number  6  Pages  700  710  Year  2012  Note  Advances in Mathematics Mechanization Mathematics Mechanization  Edition  0  Translation 
No  Refereed 
No 
