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ACL2
2006
ACM
14 years 21 days ago
Unique factorization in ACL2: Euclidean domains
ACL2 is used to systematically study domains whose elements can be “uniquely” factored into products of “irreducible” elements. The best known examples of such domains are...
John R. Cowles, Ruben Gamboa
AAECC
2010
Springer
136views Algorithms» more  AAECC 2010»
13 years 6 months ago
New recombination algorithms for bivariate polynomial factorization based on Hensel lifting
Abstract. We present new faster deterministic and probabilistic recombination algorithms to compute the irreducible decomposition of a bivariate polynomial via the classical Hensel...
Grégoire Lecerf
JSC
2006
76views more  JSC 2006»
13 years 6 months ago
Fast computation of special resultants
We propose fast algorithms for computing composed products and composed sums, as well as diamond products of univariate polynomials. These operations correspond to special multiva...
Alin Bostan, Philippe Flajolet, Bruno Salvy, &Eacu...
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 6 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
JC
2011
102views more  JC 2011»
13 years 1 months ago
Tractability of tensor product problems in the average case setting
It has been an open problem to derive a necessary and sufficient condition for a linear tensor product problem S = {Sd} in the average case setting to be weakly tractable but not ...
Anargyros Papageorgiou, Iasonas Petras