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ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
16 years 2 days ago
Automatic generation of polynomial loop
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
Enric Rodríguez-Carbonell, Deepak Kapur
ISSAC
2004
Springer
91views Mathematics» more  ISSAC 2004»
16 years 2 days ago
A poly-algorithmic approach to simplifying elementary functions
Simplification has been long recognised to be a fundamental problem within computer algebra[17]. However, even for the class of elementary functions, it has not been resolved in ...
James C. Beaumont, Russell J. Bradford, James H. D...
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
16 years 2 days ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
16 years 2 days ago
The truncated fourier transform and applications
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...
Joris van der Hoeven
ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
16 years 2 days ago
Algorithms for polynomial GCD computation over algebraic function fields
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Mark van Hoeij, Michael B. Monagan
Mathematics
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