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» The approximate GCD of inexact polynomials
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JSC
2010
79views more  JSC 2010»
13 years 3 months ago
Approximate polynomial GCD: Small degree and small height perturbations
Joachim von zur Gathen, Maurice Mignotte, Igor Shp...
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
EUROCRYPT
2010
Springer
13 years 10 months ago
Fully Homomorphic Encryption over the Integers
We describe a very simple “somewhat homomorphic” encryption scheme using only elementary modular arithmetic, and use Gentry’s techniques to convert it into a fully homomorph...
Marten van Dijk, Craig Gentry, Shai Halevi, Vinod ...
ISSAC
2007
Springer
111views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Numerical optimization in hybrid symbolic-numeric computation
Approximate symbolic computation problems can be formulated as constrained or unconstrained optimization problems, for example: GCD [3, 8, 12, 13, 23], factorization [5, 10], and ...
Lihong Zhi
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng