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» Computing Sparse Multiples of Polynomials
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ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 2 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
CAP
2010
12 years 11 months ago
Parallel operations of sparse polynomials on multicores: I. multiplication and Poisson bracket
The multiplication of the sparse multivariate polynomials using the recursive representations is revisited to take advantage on the multicore processors. We take care of the memor...
Mickaël Gastineau
ISSAC
2009
Springer
155views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Parallel sparse polynomial multiplication using heaps
We present a high performance algorithm for multiplying sparse distributed polynomials using a multicore processor. Each core uses a heap of pointers to multiply parts of the poly...
Michael B. Monagan, Roman Pearce
JSC
2011
99views more  JSC 2011»
12 years 7 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce
JC
2007
119views more  JC 2007»
13 years 4 months ago
Factoring bivariate sparse (lacunary) polynomials
We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their...
Martin Avendano, Teresa Krick, Martín Sombr...