Decoupling highly structured polynomial systems

作者:Bates, Daniel J.*; Newell, Andrew J.; Niemerg, Matthew E.
来源:Journal of Symbolic Computation, 2017, 79: 508-515.
DOI:10.1016/j.jsc.2016.07.016

摘要

An efficient technique for finding numerical approximations of isolated solutions of polynomial systems with a particular structure is presented. This structure is quite specific but arises naturally, for example when computing the critical points of a symmetric polynomial energy function. An illustrative example from magnetism is presented, along with some timing comparisons.