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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A Massively Parallel Dense Symmetric Eigensolver with Communication Splitting Multicasting Algorithm
verfasst von : Takahiro Katagiri, Shoji Itoh
Erschienen in: High Performance Computing for Computational Science – VECPAR 2010
Verlag: Springer Berlin Heidelberg
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In this paper, we propose a process grid free algorithm for a massively parallel dense symmetric eigensolver with a communication splitting multicasting algorithm. In this algorithm, a tradeoff exists between speed and memory space to keep the Householder vectors. As a result of a performance evaluation with the T2K Open Supercomputer (U. Tokyo) and the RX200S5, we obtain the performance with 0.86x and 0.95x speed-downs and 1/2 memory space compared to the conventional algorithm for a square process grid. We also show a new algorithm for small-sized matrices in massively parallel processing that takes an appropriately small value of
p
of the process grid
p
x
q
. In this case, the execution time of inverse transformation is negligible.