Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials Institutional Repository Document uri icon

abstract

  • 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.

author list (cited authors)

  • Bates, D. J., Hauenstein, J. D., Niemerg, M. E., & Sottile, F.

citation count

  • 0

complete list of authors

  • Bates, Daniel J||Hauenstein, Jonathan D||Niemerg, Matthew E||Sottile, Frank

Book Title

  • arXiv

publication date

  • May 2015