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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»
13 years 9 months ago
On Wiedemann's Method of Solving Sparse Linear Systems
Erich Kaltofen, B. David Saunders
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
13 years 9 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
CHES
2005
Springer
155views Cryptology» more  CHES 2005»
13 years 11 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»
13 years 5 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
13 years 10 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