The Community for Technology Leaders
RSS Icon
Subscribe
Issue No.12 - December (1993 vol.4)
pp: 1382-1397
ABSTRACT
<p>Two issues in linear algebra algorithms for multicomputers are addressed. First, how tounify parallel implementations of the same algorithm in a decomposition-independent way. Second, how to optimize naive parallel programs maintaining the decompositionindependence. Several matrix decompositions are viewed as instances of a more generalallocation function called subcube matrix decomposition. By this meta-decomposition, aprogramming environment characterized by general primitives that allow one to designmeta-algorithms independently of a particular decomposition. The authors apply such aframework to the parallel solution of dense matrices. This demonstrates that most of theexisting algorithms can be derived by suitably setting the primitives used in themeta-algorithm. A further application of this programming style concerns the optimization of parallel algorithms. The idea to overlap communication and computation has been extended from 1-D decompositions to 2-D decompositions. Thus, a first attempt towards a decomposition-independent definition of such optimization strategies is provided.</p>
INDEX TERMS
Index Termsparallel linear algebra algorithms; linear algebra algorithms; multicomputers; parallelimplementations; parallel programs; subcube matrix decomposition; meta-algorithm;communication; computation; decomposition-independent definition; optimization; linearalgebra; matrix algebra; optimisation; parallel algorithms
CITATION
M. Angelaccio, M. Colajanni, "Unifying and Optimizing Parallel Linear Algebra Algorithms", IEEE Transactions on Parallel & Distributed Systems, vol.4, no. 12, pp. 1382-1397, December 1993, doi:10.1109/71.250119
23 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool