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CORR
2007
Springer

A Class of Parallel Tiled Linear Algebra Algorithms for Multicore Architectures

10 years 4 months ago
A Class of Parallel Tiled Linear Algebra Algorithms for Multicore Architectures
As multicore systems continue to gain ground in the High Performance Computing world, linear algebra algorithms have to be reformulated or new algorithms have to be developed in order to take advantage of the architectural features on these new processors. Fine grain parallelism becomes a major requirement and introduces the necessity of loose synchronization in the parallel execution of an operation. This paper presents an algorithm for the Cholesky, LU and QR factorization where the operations can be represented as a sequence of small tasks that operate on square blocks of data. These tasks can be dynamically scheduled for execution based on the dependencies among them and on the availability of computational resources. This may result in an out of order execution of the tasks which will completely hide the presence of intrinsically sequential tasks in the factorization. Performance comparisons are presented with the LAPACK algorithms where parallelism can only be exploited at the le...
Alfredo Buttari, Julien Langou, Jakub Kurzak, Jack
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CORR
Authors Alfredo Buttari, Julien Langou, Jakub Kurzak, Jack Dongarra
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