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» The Proof Complexity of Linear Algebra
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ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
14 years 4 days ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
TPHOL
2005
IEEE
14 years 1 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
STTT
2011
195views more  STTT 2011»
13 years 2 months ago
Parallel probabilistic model checking on general purpose graphics processors
We present algorithms for parallel probabilistic model checking on general purpose graphic processing units (GPGPUs). Our improvements target the numerical components of the tradit...
Dragan Bosnacki, Stefan Edelkamp, Damian Sulewski,...
COMPGEOM
2004
ACM
14 years 1 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
ARCS
2008
Springer
13 years 10 months ago
An Optimized ZGEMM Implementation for the Cell BE
: The architecture of the IBM Cell BE processor represents a new approach for designing CPUs. The fast execution of legacy software has to stand back in order to achieve very high ...
Timo Schneider, Torsten Hoefler, Simon Wunderlich,...