25 citations · 210 across the 59 of their papers we have counts for
3 papers · 2 filters
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…
Towards a diagrammatic modeling of the LinBox C++ linear algebra library
Jean-Guillaume Dumas, Dominique Duval
We propose a new diagrammatic modeling language, DML. The paradigm used is that of the category theory and in particular of the pushout tool. We show that most of the object-orient…
Efficient Computation of the Characteristic Polynomial
Jean-Guillaume Dumas, Clément Pernet, Zhendong Wan
This article deals with the computation of the characteristic polynomial of dense matrices over small finite fields and over the integers. We first present two algorithms for the f…