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» Algorithms for solving linear systems over cyclotomic fields
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ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 11 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
SIAMSC
2010
143views more  SIAMSC 2010»
13 years 5 months ago
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromod
Abstract. We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate G...
Andreas Stathopoulos, Konstantinos Orginos
COCO
2011
Springer
216views Algorithms» more  COCO 2011»
12 years 7 months ago
Linear Systems over Finite Abelian Groups
We consider a system of linear constraints over any finite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...
Arkadev Chattopadhyay, Shachar Lovett
CHES
2005
Springer
155views Cryptology» more  CHES 2005»
14 years 1 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...
DAGSTUHL
2006
13 years 9 months ago
Adaptive Triangular System Solving
Abstract. We propose a new adaptive algorithm for the exact simultaneous resolution of several triangular systems over finite fields: it is composed of several practicable variants...
Jean-Guillaume Dumas, Clément Pernet, Jean-...