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» Approximate Integer Common Divisors
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TC
2011
13 years 6 days ago
Improved Division by Invariant Integers
—This paper considers the problem of dividing a two-word integer by a single-word integer, together with a few extensions and applications. Due to lack of efficient division ins...
Niels Moller, Torbjörn Granlund
MICS
2007
128views more  MICS 2007»
13 years 4 months ago
Structured Low Rank Approximation of a Bezout Matrix
The task of determining the approximate greatest common divisor (GCD) of more than two univariate polynomials with inexact coefficients can be formulated as computing for a given B...
Dongxia Sun, Lihong Zhi
TCS
2008
13 years 5 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
CANS
2011
Springer
292views Cryptology» more  CANS 2011»
12 years 5 months ago
Breaking Fully-Homomorphic-Encryption Challenges
At EUROCRYPT ’10, van Dijk, Gentry, Halevi and Vaikuntanathan presented simple fully-homomorphic encryption (FHE) schemes based on the hardness of approximate integer common div...
Phong Q. Nguyen
APPROX
2006
Springer
126views Algorithms» more  APPROX 2006»
13 years 9 months ago
Better Approximations for the Minimum Common Integer Partition Problem
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
David P. Woodruff