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SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 4 months ago
Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
We discuss and compare two greedy algorithms, that compute discrete versions of Fekete-like points for multivariate compact sets by basic tools of numerical linear algebra. The fi...
Len Bos, Stefano De Marchi, Alvise Sommariva, Marc...
MKM
2009
Springer
14 years 4 months ago
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra
Graphical languages provide a powerful tool for describing the behaviour of quantum systems. While the use of graphs vastly reduces the complexity of many calculations [4,10], manu...
Aleks Kissinger
CRYPTO
2008
Springer
165views Cryptology» more  CRYPTO 2008»
13 years 12 months ago
Efficient Secure Linear Algebra in the Presence of Covert or Computationally Unbounded Adversaries
In this work we study the design of secure protocols for linear algebra problems. All current solutions to the problem are either inefficient in terms of communication complexity o...
Payman Mohassel, Enav Weinreb
COMPGEOM
2001
ACM
14 years 1 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
JSC
2007
79views more  JSC 2007»
13 years 10 months ago
Computation of bases of free modules over the Weyl algebras
A well-known result due to J. T. Stafford asserts that a stably free left module M over the Weyl algebras D = An(k) or Bn(k) − where k is a field of characteristic 0 − with ...
Alban Quadrat, Daniel Robertz