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Open Access Publications from the University of California

A 3D Parallel Algorithm for QR Decomposition

  • Author(s): Ballard, Grey
  • Demmel, James
  • Grigori, Laura
  • Jacquelin, Mathias
  • Knight, Nicholas
  • et al.

© 2018 Association for Computing Machinery. Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communication volume) can be decreased at the cost of increasing its latency cost (number of messages). By varying a parameter to navigate the bandwidth/latency tradeoff, we can tune this algorithm for machines with different communication costs.

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