PGeomlib
swMATH ID:  6630 
Software Authors:  Bruno, A.D.; Batkhin, A.B. 
Description:  Resolution of an algebraic singularity by power geometry algorithms 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 Gr”obner 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. 
Homepage:  http://rd.springer.com/article/10.1134%2FS036176881202003X 
Related Software:  desing; SymPy; Maple; SageMath; Mathematica; Qhull; cddplus; PPL; cdd; geom 
Cited in:  10 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022 Bruno, A. D.; Batkhin, A. B. 
2012

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Cited by 6 Authors
7  Batkhin, Alexandr B. 
7  Bruno, Alexander Dmitrievich 
1  Azimov, A. A. 
1  Kytmanov, Alexey Alexandrovich 
1  Osipov, Nikolai Nikolaevich 
1  Varin, Victor P. 
Cited in 3 Serials
8  Programming and Computer Software 
1  Journal of Applied Mathematics and Mechanics 
1  Computational Mathematics and Mathematical Physics 
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