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COMPGEOM
1997
ACM
14 years 3 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
FOCS
1997
IEEE
14 years 3 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran