Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials

Autor: Bates, Daniel J., Hauenstein, Jonathan D., Niemerg, Matthew E., Sottile, Frank
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: We give a Descartes'-like bound on the number of positive solutions to a system of fewnomials that holds when its exponent vectors are not in convex position and a sign condition is satisfied. This was discovered while developing algorithms and software for computing the Gale transform of a fewnomial system, which is our main goal. This software is a component of a package we are developing for Khovanskii-Rolle continuation, which is a numerical algorithm to compute the real solutions to a system of fewnomials.
Comment: 22 pages, 4 figures
Databáze: arXiv