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Solving Systems of Polynomial Equations: a Novel End Condition and Root Computation Method
2014
Proceedings of the 2014 Federated Conference on Computer Science and Information Systems
In this paper we present an improvement of the algorithm based on recursive de Casteljau subdivision over an ndimensional bounded domain (simplex or box). The modification consists of a novel end condition and a way of calculation the root in subdomain. Both innovations are based on linear approximation of polynomials in a system. This improvement results in that our approach takes almost half of the time of the standard approach: it can be stopped much earlier than using standard diameter
doi:10.15439/2014f183
dblp:conf/fedcsis/Bartoszuk14
fatcat:yk57cftpibehrmvakbzz3gdpta