5 citations · 9 across the 3 of their papers we have counts for
3 papers
cs.SC2007
Towards an exact adaptive algorithm for the determinant of a rational matrix
Anna Urbanska
In this paper we propose several strategies for the exact computation of the determinant of a rational matrix. First, we use the Chinese Remaindering Theorem and the rational recon…
math.KT2007★ 4 cited
Parallel computation of the rank of large sparse matrices from algebraic K-theory
Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi +1
This paper deals with the computation of the rank and of some integer Smith forms of a series of sparse matrices arising in algebraic K-theory. The number of non zero entries in th…
cs.SC2005★ 5 cited
An introspective algorithm for the integer determinant
Jean-Guillaume Dumas, Anna Urbanska
We present an algorithm computing the determinant of an integer matrix A. The algorithm is introspective in the sense that it uses several distinct algorithms that run in a concurr…