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TitleComputing All Nonsingular Solutions of Cyclic-$n$ Polynomial Using Polyhedral Homotopy Continuation Methods
Author(s) Yang Dai, Sunyoung Kim, Masakazu Kojima
TypeTechnical Report, Misc
AbstractAll isolated solutions of the cyclic-n polynomial equations are not known for larger dimensions than 11. We exploit two types of symmetric structures in the cyclic-n polynomial to compute all isolated nonsingular solutions of the equations efficiently by the polyhedral homotopy continuation method and to verify the correctness of the generated approximate solutions. Numerical results on the cyclic-8 to the cyclic-12 polynomial equations, including their solution information, are given.
Address2-12-1 Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan
Translation No
Refereed No