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• W2060236641 abstract "We illustrate how linear algebra calculations can be enhanced by statistical techniques in the case of a square linear system Ax = b . We study a random transformation of A that enables us to avoid pivoting and then to reduce the amount of communication. Numerical experiments show that this randomization can be performed at a very affordable computational price while providing us with a satisfying accuracy when compared to partial pivoting. This random transformation called Partial Random Butterfly Transformation (PRBT) is optimized in terms of data storage and flops count. We propose a solver where PRBT and the LU factorization with no pivoting take advantage of the current hybrid multicore/GPU machines and we compare its Gflop/s performance with a solver implemented in a current parallel library." @default.
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• W2060236641 date "2013-02-01" @default.
• W2060236641 modified "2023-10-16" @default.
• W2060236641 title "Accelerating Linear System Solutions Using Randomization Techniques" @default.
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• W2060236641 doi "https://doi.org/10.1145/2427023.2427025" @default.
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