10 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AG1999
Kronecker's and Newton's approaches to solving: A first comparison
D. Castro, K. Haegele, J. E. Morais +1
In this extended abstract we deal with the relations between the numerical/diophantine approximation and the symbolic/algebraic geometry approachs to solving of multivariate diophe…
alg-geom1996★ 2 cited
Straight--Line Programs in Geometric Elimination Theory
M. Giusti, J. Heintz, J. E. Morais +2
We present a new method for solving symbolically zero--dimensional polynomial equation systems in the affine and toric case. The main feature of our method is the use of problem ad…
alg-geom1996★ 10 cited
Lower Bounds for diophantine Approximation
M. Giusti, J. Heintz, K. Hägele +3
We introduce a subexponential algorithm for geometric solving of multivariate polynomial equation systems whose bit complexity depends mainly on intrinsic geometric invariants of t…