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math.AG2004★ 6 cited
First Steps in Algorithmic Fewnomial Theory
Frederic Bihan, J. Maurice Rojas, Casey E. Stella
Fewnomial theory began with explicit bounds -- solely in terms of the number of variables and monomial terms -- on the number of real roots of systems of polynomial equations. Here…
math.AG2002★ 3 cited
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces
Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang
We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees were much…
math.AG1998
Solving Degenerate Sparse Polynomial Systems Faster
J. Maurice Rojas
Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in every irred…