A Parallel Ordering for the Block Jacobi Method on a Hypercube Architecture
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Bischof, Christian H.
Jacobi methods for computing the singular value decomposition are ideally suited for multiprocessor environments since they contain a great deal of inherent parallelism. We give a parallel ordering for the block Jacobi Method that allows us to take full advantage of the nearest-neighbor topology of the hypercube. It is based on recursively embedding smaller rings into the hypercube using a Gray code labelling of processor nodes. This scheme is optimal in that it entails the lowest communication overhead possible.
computer science; technical report
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