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ISSAC
2007
Springer
162views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Multiprocessed parallelism support in ALDOR on SMPs and multicores
We report on a high-level categorical parallel framework, written in the Aldor language, to support high-performance computer algebra on symmetric multi-processors and multicore p...
Marc Moreno Maza, Ben Stephenson, Stephen M. Watt,...
ISSAC
2007
Springer
91views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Generation and optimisation of code using coxeter lattice paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations of opera...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
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ISSAC
2007
Springer
83views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Parallel computation of the rank of large sparse matrices from algebraic K-theory
This paper deals with the computation of the rank and some integer Smith forms of a series of sparse matrices arising in algebraic K-theory. The number of non zero entries in the ...
Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pasc...
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Certification of the QR factor R and of lattice basis reducedness
Given a lattice basis of n vectors in Zn, we propose an algorithm using 12n3 + O(n2) floating point operations for checking whether the basis is LLL-reduced. If the basis is redu...
Gilles Villard