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 |
Externí odkaz: |