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AAECC
2010
Springer
136views Algorithms» more  AAECC 2010»
13 years 5 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
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
13 years 10 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
MOC
2002
85views more  MOC 2002»
13 years 4 months ago
Hensel lifting and bivariate polynomial factorisation over finite fields
This paper presents an average time analysis of a Hensel lifting based factorisation algorithm for bivariate polynomials over finite fields. It is shown that the average running ti...
Shuhong Gao, Alan G. B. Lauder
ISSAC
2004
Springer
106views Mathematics» more  ISSAC 2004»
13 years 10 months ago
Factoring polynomials via polytopes
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
Fatima Abu Salem, Shuhong Gao, Alan G. B. Lauder
JSC
2007
80views more  JSC 2007»
13 years 5 months ago
Improved dense multivariate polynomial factorization algorithms
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
Grégoire Lecerf