Details:
Title  Resolution of an algebraic singularity by power geometry algorithms.  Author(s)  A.B. Batkhin, A.D. Bruno  Type  Article in Journal  Abstract  A polynomial in three variables is considered near a singular point where the polynomial itself and its partial derivatives vanish. A method for calculating asymptotic expansions in parameters for all branches of the set of roots of the polynomial near the singular point is proposed. The method is based on spatial power geometry and uses modern computer algebra algorithms: for calculating Gröbner bases and for work with algebraic curves. The implementation of the method is demonstrated on the example of a sixthdegree polynomial in three variables considered near infinity and near a degenerate singular point.  ISSN  03617688; 16083261/e 
URL 
http://link.springer.com/article/10.1134%2FS036176881202003X 
Language  English  Journal  Program. Comput. Softw.  Volume  38  Number  2  Pages  5772  Publisher  Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK ``Nauka/Interperiodica  Year  2012  Edition  0  Translation 
No  Refereed 
No 
