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CSR
2008
Springer
13 years 9 months ago
Logic and Rational Languages of Words Indexed by Linear Orderings
We prove that every rational language of words indexed by linear orderings is definable in monadic second-order logic. We also show that the converse is true for the class of langu...
Nicolas Bedon, Alexis Bès, Olivier Carton, ...
CPHYSICS
2011
232views Education» more  CPHYSICS 2011»
13 years 3 months ago
A nested Krylov subspace method to compute the sign function of large complex matrices
We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the o...
Jacques Bloch, Simon Heybrock
SAC
2010
ACM
14 years 1 months ago
Haptic manipulation of rational parametric planar cubics using shape constraints
In this paper, we show how to deform a planar rational cubic based on a local interpolation constraint while retaining the qualitative shape of the curve. An impedance-type, paral...
Christoph Fünfzig, Philippe Thomin, Gudrun Al...
CASC
2010
Springer
153views Mathematics» more  CASC 2010»
13 years 4 months ago
Implementing Data Parallel Rational Multiple-Residue Arithmetic in Eden
Abstract. Residue systems present a well-known way to reduce computation cost for symbolic computation. However most residue systems are implemented for integers or polynomials. Th...
Oleg Lobachev, Rita Loogen