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» GCD of Many Integers
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CODES
2010
IEEE
13 years 5 months ago
Automatic parallelization of embedded software using hierarchical task graphs and integer linear programming
The last years have shown that there is no way to disregard the advantages provided by multiprocessor System-on-Chip (MPSoC) architectures in the embedded systems domain. Using mu...
Daniel Cordes, Peter Marwedel, Arindam Mallik
BMCBI
2011
13 years 2 months ago
Screening synteny blocks in pairwise genome comparisons through integer programming
Background: It is difficult to accurately interpret chromosomal correspondences such as true orthology and paralogy due to significant divergence of genomes from a common ancestor...
Haibao Tang, Eric Lyons, Brent S. Pedersen, James ...
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 11 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
MST
2007
121views more  MST 2007»
13 years 7 months ago
Chinese Remaindering with Multiplicative Noise
We use lattice reduction to obtain a polynomial time algorithm for recovering an integer (up to a multiple) given multiples of its residues modulo sufficiently many primes, when t...
Igor Shparlinski, Ron Steinfeld
ACL2
2006
ACM
14 years 1 months ago
Unique factorization in ACL2: Euclidean domains
ACL2 is used to systematically study domains whose elements can be “uniquely” factored into products of “irreducible” elements. The best known examples of such domains are...
John R. Cowles, Ruben Gamboa