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 sixth-degree 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; Qhull; Maple; PPL; cddplus; SymPy; SageMath; Mathematica; cdd; geom Cited in: 8 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022Bruno, A. D.; Batkhin, A. B. 2012 Cited by 5 Authors 6 Batkhin, Alexandr B. 5 Bruno, Alexander Dmitrievich 1 Kytmanov, Alexey Alexandrovich 1 Osipov, Nikolai Nikolaevich 1 Varin, Victor P. Cited in 2 Serials 7 Programming and Computer Software 1 Journal of Applied Mathematics and Mechanics all top 5 Cited in 8 Fields 6 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 4 Computer science (68-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year