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Hexagonally connected processor array for jacobi-type matrix algorithms

Hexagonally connected processor array for jacobi-type matrix algorithms

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Jacobi-type matrix algorithms are mostly implemented on orthogonally connected processor arrays. In this letter, an alternative partitioning is described, resulting in a grid of hexagonally connected processors. This partitioning is shown to be over four times more efficient, as compared to the original configuration.

References

    1. 1)
      • D.P. O'Leary , G.W. Stewart . Data-flow algorithms for parallel matrix computations. Commun. ACM , 840 - 853
    2. 2)
      • G.W. Stewart . A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. SIAM J. Sci. Stat. Comp. , 4 , 853 - 863
    3. 3)
      • `IEEE Computer:‘Special issue on systolic arrays ’', July 1983.
    4. 4)
      • F.T. Luk . A triangular processor array for computing singular values. Lin. Alg. Appl. , 259 - 273
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