Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200 A, B-3001 Leuven, Belgium
Abstract:
Homotopy continuation methods can be applied to compute all finite solutions to a given polynomial system. Computations will be performed more efficiently if the symmetric structure of the system can be exploited. This paper presents the construction of a symmetric homotopy. Using this homotopy, only the paths according to the generating solutions have to be traced during continuation.