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» Efficient computation of the characteristic polynomial
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ICALP
2009
Springer
14 years 7 months ago
Factoring Groups Efficiently
We give a polynomial time algorithm that computes a decomposition of a finite group G given in the form of its multiplication table. That is, given G, the algorithm outputs two su...
Neeraj Kayal, Timur Nezhmetdinov
COMPGEOM
2001
ACM
13 years 11 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
HPCS
2009
IEEE
13 years 11 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
JBI
2002
126views Bioinformatics» more  JBI 2002»
13 years 7 months ago
Characteristic attributes in cancer microarrays
Rapid advances in genome sequencing and gene expression microarray technologies are providing unprecedented opportunities to identify specific genes involved in complex biological...
Indra Neil Sarkar, Paul J. Planet, T. E. Bael, S. ...
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 7 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...