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ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
14 years 3 months ago
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
Clément Pernet, Arne Storjohann
ISSAC
2005
Springer
110views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Multivariate power series multiplication
We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
Éric Schost
CSL
2010
Springer
13 years 10 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
JC
2007
119views more  JC 2007»
13 years 8 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...
LATA
2009
Springer
14 years 3 months ago
A Kleene Theorem for Forest Languages
This paper proposes an alternative approach to the standard notion of rational (or regular) expression for tree languages. The main difference is that in the new notion we have on...
Lutz Straßburger