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math.AG2007
New Complexity Bounds for Certain Real Fewnomial Zero Sets
Joel Gomez, Andrew Niles, J. Maurice Rojas
Consider real bivariate polynomials f and g, respectively having 3 and m monomial terms. We prove that for all m>=3, there are systems of the form (f,g) having exactly 2m-1 roots i…
math.AG2007★ 1 cited
On the Sharpness of fewnomial bound and the number of components of a fewnomial hypersurface
Frederic Bihan, J. Maurice Rojas, Frank Sottile
We show the existence of systems of n polynomial equations in n variables, with a total of n+k+1 distinct monomial terms, possessing [n/k+1]^k nondegenerate positive solutions. (He…