Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Given a collection C of circles in the plane, we wish to construct the arrangement A(C) (namely the subdivision of the plane into vertices, edges and faces induced by C) using fl...
Divide and conquer algorithms are a good match for modern parallel machines: they tend to have large amounts of inherent parallelism and they work well with caches and deep memory...
We study the identity testing problem for depth 3 arithmetic circuits ( circuit). We give the first deterministic polynomial time identity test for circuits with bounded top fanin...
We give a new structure theorem for subresultants precising their gap structure and derive from it a new algorithm for computing them. If d is a bound on the degrees and a bound o...