Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algor...
Motivated by the goal of factoring large integers using the Number Field Sieve, several special-purpose hardware designs have been recently proposed for solving large sparse system...
Willi Geiselmann, Adi Shamir, Rainer Steinwandt, E...
We propose a new algorithm to solve sparse linear systems of equations over the integers. This algorithm is based on a p-adic lifting technique combined with the use of block matr...
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne...
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...