Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials
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2016, Springer Science+Business Media New York. 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.
complete list of authors
Bates, Daniel J||Hauenstein, Jonathan D||Niemerg, Matthew E||Sottile, Frank