Details:
Title  Solving zerodimensional involutive systems  Author(s)  Alexey Yu. Zharkov  Type  Article in Journal  Abstract  A new method for solving zerodimensional polynomial systems is proposed.
Given a set of generators of a zerodimensional ideal, the method computes an
involutive basis of this ideal in the totaldegree term ordering and then con
verts it to a triangular basis in the lexicographical ordering. We show that only
simple linear algebra is needed for this purpose. We prove also that in most
cases of zerodimensional ideals the result of a conversion algorithm is a minimal
lexicographical standard basis.  Keywords  solving zerodimensional polynomial systems, involutive basis, algorithm  Length  10 
File 
 Language  English  Year  2001  Edition  0  Translation 
Yes  Refereed 
No  Organization 
Saratov State University 
