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ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Numerical techniques for computing the inertia of products of matrices of rational numbers
Consider a rational matrix, particularly one whose entries have large numerators and denominators, but which is presented as a product of very sparse matrices with relatively smal...
John P. May, B. David Saunders, David Harlan Wood
ISSAC
2007
Springer
93views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Approximate bivariate factorization: a geometric viewpoint
We briefly present and analyze, from a geometric viewpoint, strategies for designing algorithms to factor bivariate approximate polynomials in   [x, y]. Given a composite polyno...
André Galligo, Mark van Hoeij
ISSAC
2007
Springer
128views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Productivity and performance using partitioned global address space languages
Partitioned Global Address Space (PGAS) languages combine the programming convenience of shared memory with the locality and performance control of message passing. One such langu...
Katherine A. Yelick, Dan Bonachea, Wei-Yu Chen, Ph...
ISSAC
2007
Springer
103views Mathematics» more  ISSAC 2007»
14 years 4 months ago
The nearest polynomial of lower degree
Robert M. Corless, Nargol Rezvani
ISSAC
2007
Springer
121views Mathematics» more  ISSAC 2007»
14 years 4 months ago
A comparative analysis of parallel disk-based Methods for enumerating implicit graphs
It is only in the last five years that researchers have begun to use disk-based search techniques on a large scale. The primary examples of its use come from symbolic algebra and...
Eric Robinson, Daniel Kunkle, Gene Cooperman
ISSAC
2007
Springer
132views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Adaptive loops with kaapi on multicore and grid: applications in symmetric cryptography
The parallelization of two applications in symmetric cryptography is considered: block ciphering and a new method based on random sampling for the selection of basic substitution ...
Vincent Danjean, Roland Gillard, Serge Guelton, Je...
ISSAC
2007
Springer
107views Mathematics» more  ISSAC 2007»
14 years 4 months ago
A disk-based parallel implementation for direct condensation of large permutation modules
Through the use of a new disk-based method for enumerating very large orbits, condensation for orbits with tens of billions of elements can be performed. The algorithm is novel in...
Eric Robinson, Jürgen Müller 0004, Gene ...
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
14 years 4 months ago
Symbolic summation with radical expressions
An extension of Karr’s summation algorithm is presented by which symbolic sums involving radical expressions can be simplified. We discuss the construction of appropriate diff...
Manuel Kauers, Carsten Schneider
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 4 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang