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ISSAC
2009
Springer
155views Mathematics» more  ISSAC 2009»
16 years 10 days 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
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
16 years 10 days ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
16 years 10 days ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
FASE
2010
Springer
16 years 8 days ago
Proving Consistency and Completeness of Model Classes Using Theory Interpretation
Abstract. Abstraction is essential in the formal specification of programs. A common way of writing abstract specifications is to specify implementations in terms of basic mathem...
Ádám Darvas, Peter Müller
GLOBECOM
2008
IEEE
16 years 7 days ago
Tight Bounds of the Generalized Marcum Q-Function Based on Log-Concavity
—In this paper, we manage to prove the log-concavity of the generalized Marcum Q-function Qν (a, b) with respect to its order ν on [1, ∞). The proof relies on a powerful math...
Yin Sun, Shidong Zhou