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» On Wiedemann's Method of Solving Sparse Linear Systems
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AAECC
1991
Springer
96views Algorithms» more  AAECC 1991»
15 years 6 months ago
On Wiedemann's Method of Solving Sparse Linear Systems
Erich Kaltofen, B. David Saunders
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
15 years 7 months ago
On Randomized Lanczos Algorithms
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...
Wayne Eberly, Erich Kaltofen
132
Voted
CHES
2005
Springer
155views Cryptology» more  CHES 2005»
15 years 9 months ago
Scalable Hardware for Sparse Systems of Linear Equations, with Applications to Integer Factorization
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...
CORR
2006
Springer
95views Education» more  CORR 2006»
15 years 3 months ago
Solving Sparse Integer Linear Systems
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...
LSSC
2001
Springer
15 years 7 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
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...
Aneta Karaivanova, Rayna Georgieva